%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYO631-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 : Fri Sep 25 03:48:33 PM UTC 2026
% Result : Unsatisfiable 47.81s 32.56s
% Output : Proof 47.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 212
% Number of leaves : 26
% Syntax : Number of formulae : 1043 ( 19 unt; 0 def)
% Number of atoms : 8271 ( 0 equ)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 7805 ( 577 ~;7228 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 13 ( 4 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 1302 ( 3 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f38,axiom,
( qtd2(f(A),s(s(s(s(s(s(s(s(s(s(qtd1)))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_49_39) ).
fof(f38_nnf,plain,
! [A] :
( qtd2(f(A),s(s(s(s(s(s(s(s(s(s(qtd1)))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(A)) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [A] :
( qtd2(f(A),s(s(s(s(s(s(s(s(s(s(qtd1)))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(A)) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( qtd2(f(X0),s(s(s(s(s(s(s(s(s(s(qtd1)))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(f3,axiom,
( qtd2(f(B_0),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(B_0))
| ~ iLEQ(A_1,B_0)
| ~ qtd2(f(A_1),s(s(s(s(s(s(s(s(s(s(qtd1))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_48_04) ).
fof(f3_nnf,plain,
! [A_1,B_0] :
( qtd2(f(B_0),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(B_0))
| ~ iLEQ(A_1,B_0)
| ~ qtd2(f(A_1),s(s(s(s(s(s(s(s(s(s(qtd1))))))))))) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A_1,B_0] :
( qtd2(f(B_0),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(B_0))
| ~ iLEQ(A_1,B_0)
| ~ qtd2(f(A_1),s(s(s(s(s(s(s(s(s(s(qtd1))))))))))) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(X1))
| ~ iLEQ(X0,X1)
| ~ qtd2(f(X0),s(s(s(s(s(s(s(s(s(s(qtd1))))))))))) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p57,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(X1))
| ~ iLEQ(X0,X1)
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[c38,c3]) ).
cnf(f1,axiom,
iLEQ(A_23,g(A_23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3_02) ).
fof(f1_nnf,plain,
! [A_23] : iLEQ(A_23,g(A_23)),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A_23] : iLEQ(A_23,g(A_23)),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
iLEQ(X0,g(X0)),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p59,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p57,c1]) ).
cnf(f12,axiom,
( qtd2(f(B_2),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(B_2))
| ~ iLEQ(A_4,B_2)
| ~ qtd2(f(A_4),s(s(s(s(s(s(s(s(s(qtd1)))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10_13) ).
fof(f12_nnf,plain,
! [A_4,B_2] :
( qtd2(f(B_2),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(B_2))
| ~ iLEQ(A_4,B_2)
| ~ qtd2(f(A_4),s(s(s(s(s(s(s(s(s(qtd1)))))))))) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A_4,B_2] :
( qtd2(f(B_2),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(B_2))
| ~ iLEQ(A_4,B_2)
| ~ qtd2(f(A_4),s(s(s(s(s(s(s(s(s(qtd1)))))))))) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(X0,X1)
| ~ qtd2(f(X0),s(s(s(s(s(s(s(s(s(qtd1)))))))))) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p61,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p59,c12]) ).
cnf(p64,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p61,c1]) ).
cnf(f18,axiom,
( qtd2(f(B_4),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(B_4))
| ~ iLEQ(A_7,B_4)
| ~ qtd2(f(A_7),s(s(s(s(s(s(s(s(qtd1))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26_19) ).
fof(f18_nnf,plain,
! [A_7,B_4] :
( qtd2(f(B_4),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(B_4))
| ~ iLEQ(A_7,B_4)
| ~ qtd2(f(A_7),s(s(s(s(s(s(s(s(qtd1))))))))) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [A_7,B_4] :
( qtd2(f(B_4),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(B_4))
| ~ iLEQ(A_7,B_4)
| ~ qtd2(f(A_7),s(s(s(s(s(s(s(s(qtd1))))))))) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(X0,X1)
| ~ qtd2(f(X0),s(s(s(s(s(s(s(s(qtd1))))))))) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p67,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p64,c18]) ).
cnf(p80,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p67,c1]) ).
cnf(f44,axiom,
( qtd2(f(B_6),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(B_6))
| ~ iLEQ(A_10,B_6)
| ~ qtd2(f(A_10),s(s(s(s(s(s(s(qtd1)))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_54_45) ).
fof(f44_nnf,plain,
! [A_10,B_6] :
( qtd2(f(B_6),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(B_6))
| ~ iLEQ(A_10,B_6)
| ~ qtd2(f(A_10),s(s(s(s(s(s(s(qtd1)))))))) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [A_10,B_6] :
( qtd2(f(B_6),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(B_6))
| ~ iLEQ(A_10,B_6)
| ~ qtd2(f(A_10),s(s(s(s(s(s(s(qtd1)))))))) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(X0,X1)
| ~ qtd2(f(X0),s(s(s(s(s(s(s(qtd1)))))))) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p104,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p80,c44]) ).
cnf(p116,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p104,c1]) ).
cnf(f10,axiom,
( qtd2(f(B_8),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(B_8))
| ~ iLEQ(A_13,B_8)
| ~ qtd2(f(A_13),s(s(s(s(s(s(qtd1))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5_11) ).
fof(f10_nnf,plain,
! [A_13,B_8] :
( qtd2(f(B_8),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(B_8))
| ~ iLEQ(A_13,B_8)
| ~ qtd2(f(A_13),s(s(s(s(s(s(qtd1))))))) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [A_13,B_8] :
( qtd2(f(B_8),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(B_8))
| ~ iLEQ(A_13,B_8)
| ~ qtd2(f(A_13),s(s(s(s(s(s(qtd1))))))) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(X0,X1)
| ~ qtd2(f(X0),s(s(s(s(s(s(qtd1))))))) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p162,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p116,c10]) ).
cnf(p179,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p162,c1]) ).
cnf(f35,axiom,
( qtd2(f(B_10),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(B_10))
| ~ iLEQ(A_16,B_10)
| ~ qtd2(f(A_16),s(s(s(s(s(qtd1)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0_36) ).
fof(f35_nnf,plain,
! [A_16,B_10] :
( qtd2(f(B_10),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(B_10))
| ~ iLEQ(A_16,B_10)
| ~ qtd2(f(A_16),s(s(s(s(s(qtd1)))))) ),
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
! [A_16,B_10] :
( qtd2(f(B_10),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(B_10))
| ~ iLEQ(A_16,B_10)
| ~ qtd2(f(A_16),s(s(s(s(s(qtd1)))))) ),
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(X0,X1)
| ~ qtd2(f(X0),s(s(s(s(s(qtd1)))))) ),
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(p245,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p179,c35]) ).
cnf(p308,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p245,c1]) ).
cnf(f2,axiom,
( qtd2(f(B_12),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(B_12))
| ~ iLEQ(A_19,B_12)
| ~ qtd2(f(A_19),s(s(s(s(qtd1))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8_03) ).
fof(f2_nnf,plain,
! [A_19,B_12] :
( qtd2(f(B_12),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(B_12))
| ~ iLEQ(A_19,B_12)
| ~ qtd2(f(A_19),s(s(s(s(qtd1))))) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A_19,B_12] :
( qtd2(f(B_12),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(B_12))
| ~ iLEQ(A_19,B_12)
| ~ qtd2(f(A_19),s(s(s(s(qtd1))))) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(X0,X1)
| ~ qtd2(f(X0),s(s(s(s(qtd1))))) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p394,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p308,c2]) ).
cnf(p504,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p394,c1]) ).
cnf(f49,axiom,
( qtd2(f(B_14),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(B_14))
| ~ iLEQ(A_22,B_14)
| ~ qtd2(f(A_22),s(s(s(qtd1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_51_50) ).
fof(f49_nnf,plain,
! [A_22,B_14] :
( qtd2(f(B_14),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(B_14))
| ~ iLEQ(A_22,B_14)
| ~ qtd2(f(A_22),s(s(s(qtd1)))) ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
! [A_22,B_14] :
( qtd2(f(B_14),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(B_14))
| ~ iLEQ(A_22,B_14)
| ~ qtd2(f(A_22),s(s(s(qtd1)))) ),
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(X0,X1)
| ~ qtd2(f(X0),s(s(s(qtd1)))) ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(p685,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p504,c49]) ).
cnf(p908,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p685,c1]) ).
cnf(f20,axiom,
( qtd2(f(B_16),s(qtd1))
| qtd0(s(qtd1),f(B_16))
| ~ iLEQ(A_25,B_16)
| ~ qtd2(f(A_25),s(s(qtd1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23_21) ).
fof(f20_nnf,plain,
! [A_25,B_16] :
( qtd2(f(B_16),s(qtd1))
| qtd0(s(qtd1),f(B_16))
| ~ iLEQ(A_25,B_16)
| ~ qtd2(f(A_25),s(s(qtd1))) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [A_25,B_16] :
( qtd2(f(B_16),s(qtd1))
| qtd0(s(qtd1),f(B_16))
| ~ iLEQ(A_25,B_16)
| ~ qtd2(f(A_25),s(s(qtd1))) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(X0,X1)
| ~ qtd2(f(X0),s(s(qtd1))) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p1083,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p908,c20]) ).
cnf(p1390,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p1083,c1]) ).
cnf(f30,axiom,
( qtd2(f(B_18),qtd1)
| qtd0(qtd1,f(B_18))
| ~ iLEQ(A_28,B_18)
| ~ qtd2(f(A_28),s(qtd1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_56_31) ).
fof(f30_nnf,plain,
! [A_28,B_18] :
( qtd2(f(B_18),qtd1)
| qtd0(qtd1,f(B_18))
| ~ iLEQ(A_28,B_18)
| ~ qtd2(f(A_28),s(qtd1)) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [A_28,B_18] :
( qtd2(f(B_18),qtd1)
| qtd0(qtd1,f(B_18))
| ~ iLEQ(A_28,B_18)
| ~ qtd2(f(A_28),s(qtd1)) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(X0,X1)
| ~ qtd2(f(X0),s(qtd1)) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p1865,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p1390,c30]) ).
cnf(f5,axiom,
iLEQ(A_14,A_14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18_06) ).
fof(f5_nnf,plain,
! [A_14] : iLEQ(A_14,A_14),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [A_14] : iLEQ(A_14,A_14),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
iLEQ(X0,X0),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2210,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p1865,c5]) ).
cnf(f31,axiom,
( qtd0(f(A_2),f(g(A_2)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(A_2)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(A_2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_42_32) ).
fof(f31_nnf,plain,
! [A_2] :
( qtd0(f(A_2),f(g(A_2)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(A_2)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(A_2)) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [A_2] :
( qtd0(f(A_2),f(g(A_2)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(A_2)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(A_2)) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p2704,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p2210,c31]) ).
cnf(p58,plain,
( qtd2(f(X0),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(X0))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p57,c5]) ).
cnf(p3028,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p2704,p58]) ).
cnf(p3316,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p3028]) ).
cnf(f4,axiom,
~ qtd0(f(A_26),f(g(A_26))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19_05) ).
fof(f4_nnf,plain,
! [A_26] : ~ qtd0(f(A_26),f(g(A_26))),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A_26] : ~ qtd0(f(A_26),f(g(A_26))),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
~ qtd0(f(X0),f(g(X0))),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p3697,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3316,c4]) ).
cnf(p4529,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3697,c12]) ).
cnf(p5096,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| ~ iLEQ(g(X0),g(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p4529]) ).
cnf(p5468,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p5096,c1]) ).
cnf(p5790,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p5468,c18]) ).
cnf(p6055,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p5790]) ).
cnf(p6274,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6055,c1]) ).
cnf(p7095,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6274,c44]) ).
cnf(p7653,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p7095]) ).
cnf(p7925,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p7653,c1]) ).
cnf(p8187,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p7925,c10]) ).
cnf(p8332,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8187]) ).
cnf(p8438,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8332,c1]) ).
cnf(p8529,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8438,c35]) ).
cnf(p8676,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8529]) ).
cnf(p8727,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8676,c1]) ).
cnf(p8809,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8727,c2]) ).
cnf(p8923,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8809,c1]) ).
cnf(p8925,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8923]) ).
cnf(p8926,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8925,c49]) ).
cnf(p8930,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8926,c1]) ).
cnf(p8931,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8930]) ).
cnf(p8932,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8931,c20]) ).
cnf(p8934,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8932,c1]) ).
cnf(p8937,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8934]) ).
cnf(p8938,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8937,c30]) ).
cnf(p8941,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8938,c5]) ).
cnf(p8942,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8941]) ).
cnf(p8945,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8942]) ).
cnf(f0,axiom,
( qtd0(f(A_5),f(g(A_5)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(A_5)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(A_5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27_01) ).
fof(f0_nnf,plain,
! [A_5] :
( qtd0(f(A_5),f(g(A_5)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(A_5)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(A_5)) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A_5] :
( qtd0(f(A_5),f(g(A_5)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(A_5)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(A_5)) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p8946,plain,
( qtd0(f(g(X0)),f(g(g(X0))))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8945,c0]) ).
cnf(p63,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p61,c5]) ).
cnf(p65,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| qtd2(f(g(X0)),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p63,c31]) ).
cnf(p70,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(X0)),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p65,p58]) ).
cnf(p84,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(X0)),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p70]) ).
cnf(p85,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd2(f(g(X0)),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p84,c4]) ).
cnf(p86,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd2(f(g(X0)),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p85,c12]) ).
cnf(p87,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(qtd1)))))))))
| ~ iLEQ(g(X0),g(X0))
| qtd2(f(g(X0)),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p86]) ).
cnf(p91,plain,
( ~ iLEQ(g(X0),g(X0))
| qtd2(f(g(X0)),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p87]) ).
cnf(p93,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p91,c5]) ).
cnf(p8948,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8946,p93]) ).
cnf(p8949,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8948]) ).
cnf(p8951,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8949,c4]) ).
cnf(p8952,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8951,c18]) ).
cnf(p8953,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8952]) ).
cnf(p8955,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8953,c1]) ).
cnf(p8957,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8955,c44]) ).
cnf(p8958,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8957]) ).
cnf(p8960,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8958,c1]) ).
cnf(p8961,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8960,c10]) ).
cnf(p8964,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8961]) ).
cnf(p8966,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8964,c1]) ).
cnf(p8967,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8966,c35]) ).
cnf(p8968,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8967]) ).
cnf(p8971,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8968,c1]) ).
cnf(p8972,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8971,c2]) ).
cnf(p8974,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8972,c1]) ).
cnf(p8975,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8974]) ).
cnf(p8977,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8975,c49]) ).
cnf(p8979,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8977,c1]) ).
cnf(p8980,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8979]) ).
cnf(p8981,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8980,c20]) ).
cnf(p8985,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8981,c1]) ).
cnf(p8986,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8985]) ).
cnf(p8987,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8986,c30]) ).
cnf(p8990,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8987,c5]) ).
cnf(p8992,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8990]) ).
cnf(p8994,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8992]) ).
cnf(f53,axiom,
( qtd0(f(A_8),f(g(A_8)))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(A_8)))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(A_8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31_54) ).
fof(f53_nnf,plain,
! [A_8] :
( qtd0(f(A_8),f(g(A_8)))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(A_8)))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(A_8)) ),
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
! [A_8] :
( qtd0(f(A_8),f(g(A_8)))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(A_8)))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(A_8)) ),
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c53,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(p8995,plain,
( qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8994,c53]) ).
cnf(p79,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p67,c5]) ).
cnf(p81,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p79,c31]) ).
cnf(p105,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p81,p58]) ).
cnf(p117,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p105]) ).
cnf(p118,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p117,c4]) ).
cnf(p119,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p118,c12]) ).
cnf(p123,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| ~ iLEQ(g(X0),g(g(X0)))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p119]) ).
cnf(p127,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p123,c1]) ).
cnf(p128,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p127,c18]) ).
cnf(p129,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(X0)))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p128]) ).
cnf(p133,plain,
( ~ iLEQ(g(g(X0)),g(g(X0)))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p129]) ).
cnf(p135,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p133,c5]) ).
cnf(p136,plain,
( qtd0(f(g(X0)),f(g(g(X0))))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(g(X0))))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p135,c0]) ).
cnf(p138,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p136,p93]) ).
cnf(p140,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p138]) ).
cnf(p141,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p140,c4]) ).
cnf(p142,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p141,c18]) ).
cnf(p143,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(X0)))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p142]) ).
cnf(p147,plain,
( ~ iLEQ(g(g(X0)),g(g(X0)))
| qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p143]) ).
cnf(p150,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p147,c5]) ).
cnf(p8997,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8995,p150]) ).
cnf(p8999,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p8997]) ).
cnf(p9000,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8999,c4]) ).
cnf(p9001,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9000,c44]) ).
cnf(p9002,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p9001]) ).
cnf(p9005,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9002,c1]) ).
cnf(p9006,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9005,c10]) ).
cnf(p9007,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p9006]) ).
cnf(p9009,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9007,c1]) ).
cnf(p9011,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9009,c35]) ).
cnf(p9012,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p9011]) ).
cnf(p9014,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9012,c1]) ).
cnf(p9015,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9014,c2]) ).
cnf(p9019,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9015,c1]) ).
cnf(p9020,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p9019]) ).
cnf(p9021,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9020,c49]) ).
cnf(p9023,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9021,c1]) ).
cnf(p9025,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p9023]) ).
cnf(p9026,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9025,c20]) ).
cnf(p9028,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9026,c1]) ).
cnf(p9029,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p9028]) ).
cnf(p9031,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9029,c30]) ).
cnf(p9034,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p9031,c5]) ).
cnf(p9035,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p9034]) ).
cnf(p9037,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p9035]) ).
cnf(f6,axiom,
( qtd0(f(A_11),f(g(A_11)))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(A_11)))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(A_11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_44_07) ).
fof(f6_nnf,plain,
! [A_11] :
( qtd0(f(A_11),f(g(A_11)))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(A_11)))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(A_11)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A_11] :
( qtd0(f(A_11),f(g(A_11)))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(A_11)))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(A_11)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p9040,plain,
( qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9037,c6]) ).
cnf(p115,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p104,c5]) ).
cnf(p120,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p115,c31]) ).
cnf(p167,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p120,p58]) ).
cnf(p188,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p167]) ).
cnf(p191,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p188,c4]) ).
cnf(p194,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p191,c12]) ).
cnf(p199,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| ~ iLEQ(g(X0),g(g(X0)))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p194]) ).
cnf(p202,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p199,c1]) ).
cnf(p203,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p202,c18]) ).
cnf(p204,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p203]) ).
cnf(p206,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p204,c1]) ).
cnf(p208,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p206,c44]) ).
cnf(p209,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p208]) ).
cnf(p213,plain,
( ~ iLEQ(g(g(g(X0))),g(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p209]) ).
cnf(p214,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p213,c5]) ).
cnf(p216,plain,
( qtd0(f(g(X0)),f(g(g(X0))))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p214,c0]) ).
cnf(p218,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p216,p93]) ).
cnf(p220,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p218]) ).
cnf(p221,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p220,c4]) ).
cnf(p222,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p221,c18]) ).
cnf(p223,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p222]) ).
cnf(p225,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p223,c1]) ).
cnf(p226,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p225,c44]) ).
cnf(p229,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p226]) ).
cnf(p233,plain,
( ~ iLEQ(g(g(g(X0))),g(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p229]) ).
cnf(p234,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p233,c5]) ).
cnf(p235,plain,
( qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p234,c53]) ).
cnf(p240,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p235,p150]) ).
cnf(p242,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p240]) ).
cnf(p243,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p242,c4]) ).
cnf(p244,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p243,c44]) ).
cnf(p246,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p244]) ).
cnf(p250,plain,
( ~ iLEQ(g(g(g(X0))),g(g(g(X0))))
| qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p246]) ).
cnf(p251,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p250,c5]) ).
cnf(p9042,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9040,p251]) ).
cnf(p9043,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p9042]) ).
cnf(p9044,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9043,c4]) ).
cnf(p9046,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9044,c10]) ).
cnf(p9047,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p9046]) ).
cnf(p9049,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9047,c1]) ).
cnf(p9050,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9049,c35]) ).
cnf(p9052,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p9050]) ).
cnf(p9054,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9052,c1]) ).
cnf(p9055,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9054,c2]) ).
cnf(p9057,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9055,c1]) ).
cnf(p9061,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p9057]) ).
cnf(p9062,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9061,c49]) ).
cnf(p9064,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9062,c1]) ).
cnf(p9065,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p9064]) ).
cnf(p9067,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9065,c20]) ).
cnf(p9069,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9067,c1]) ).
cnf(p9070,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p9069]) ).
cnf(p9071,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9070,c30]) ).
cnf(p9076,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p9071,c5]) ).
cnf(p9077,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p9076]) ).
cnf(p9079,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p9077]) ).
cnf(f15,axiom,
( qtd0(f(A_14),f(g(A_14)))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(g(A_14)))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(A_14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11_16) ).
fof(f15_nnf,plain,
! [A_14] :
( qtd0(f(A_14),f(g(A_14)))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(g(A_14)))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(A_14)) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A_14] :
( qtd0(f(A_14),f(g(A_14)))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(g(A_14)))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(A_14)) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p9080,plain,
( qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9079,c15]) ).
cnf(p178,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p162,c5]) ).
cnf(p196,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p178,c31]) ).
cnf(p262,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p196,p58]) ).
cnf(p337,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p262]) ).
cnf(p341,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p337,c4]) ).
cnf(p344,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p341,c12]) ).
cnf(p352,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| ~ iLEQ(g(X0),g(g(X0)))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p344]) ).
cnf(p354,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p352,c1]) ).
cnf(p355,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p354,c18]) ).
cnf(p358,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p355]) ).
cnf(p360,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p358,c1]) ).
cnf(p361,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p360,c44]) ).
cnf(p362,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p361]) ).
cnf(p366,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p362,c1]) ).
cnf(p367,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p366,c10]) ).
cnf(p368,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p367]) ).
cnf(p372,plain,
( ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p368]) ).
cnf(p375,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p372,c5]) ).
cnf(p376,plain,
( qtd0(f(g(X0)),f(g(g(X0))))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(g(X0))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p375,c0]) ).
cnf(p378,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p376,p93]) ).
cnf(p380,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p378]) ).
cnf(p382,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p380,c4]) ).
cnf(p383,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p382,c18]) ).
cnf(p384,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p383]) ).
cnf(p386,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p384,c1]) ).
cnf(p389,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p386,c44]) ).
cnf(p390,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p389]) ).
cnf(p392,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p390,c1]) ).
cnf(p393,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p392,c10]) ).
cnf(p395,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p393]) ).
cnf(p399,plain,
( ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p395]) ).
cnf(p400,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p399,c5]) ).
cnf(p401,plain,
( qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p400,c53]) ).
cnf(p405,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p401,p150]) ).
cnf(p407,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p405]) ).
cnf(p408,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p407,c4]) ).
cnf(p409,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p408,c44]) ).
cnf(p411,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p409]) ).
cnf(p413,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p411,c1]) ).
cnf(p414,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p413,c10]) ).
cnf(p415,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p414]) ).
cnf(p420,plain,
( ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p415]) ).
cnf(p421,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p420,c5]) ).
cnf(p422,plain,
( qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p421,c6]) ).
cnf(p425,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p422,p251]) ).
cnf(p428,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p425]) ).
cnf(p429,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p428,c4]) ).
cnf(p430,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p429,c10]) ).
cnf(p431,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p430]) ).
cnf(p437,plain,
( ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p431]) ).
cnf(p438,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p437,c5]) ).
cnf(p9083,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9080,p438]) ).
cnf(p9084,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p9083]) ).
cnf(p9085,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9084,c4]) ).
cnf(p9086,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9085,c35]) ).
cnf(p9088,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p9086]) ).
cnf(p9090,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9088,c1]) ).
cnf(p9091,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9090,c2]) ).
cnf(p9093,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9091,c1]) ).
cnf(p9097,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p9093]) ).
cnf(p9098,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9097,c49]) ).
cnf(p9100,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9098,c1]) ).
cnf(p9101,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p9100]) ).
cnf(p9103,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9101,c20]) ).
cnf(p9105,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9103,c1]) ).
cnf(p9106,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p9105]) ).
cnf(p9107,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9106,c30]) ).
cnf(p9112,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p9107,c5]) ).
cnf(p9113,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p9112]) ).
cnf(p9115,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p9113]) ).
cnf(f22,axiom,
( qtd0(f(A_17),f(g(A_17)))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(g(A_17)))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(A_17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_40_23) ).
fof(f22_nnf,plain,
! [A_17] :
( qtd0(f(A_17),f(g(A_17)))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(g(A_17)))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(A_17)) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [A_17] :
( qtd0(f(A_17),f(g(A_17)))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(g(A_17)))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(A_17)) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(g(X0)))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p9116,plain,
( qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9115,c22]) ).
cnf(p307,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p245,c5]) ).
cnf(p349,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p307,c31]) ).
cnf(p458,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p349,p58]) ).
cnf(p562,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p458]) ).
cnf(p588,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p562,c4]) ).
cnf(p591,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p588,c12]) ).
cnf(p735,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| ~ iLEQ(g(X0),g(g(X0)))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p591]) ).
cnf(p738,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p735,c1]) ).
cnf(p739,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p738,c18]) ).
cnf(p740,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p739]) ).
cnf(p742,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p740,c1]) ).
cnf(p744,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p742,c44]) ).
cnf(p745,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p744]) ).
cnf(p747,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p745,c1]) ).
cnf(p748,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p747,c10]) ).
cnf(p750,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p748]) ).
cnf(p752,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p750,c1]) ).
cnf(p753,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p752,c35]) ).
cnf(p754,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p753]) ).
cnf(p759,plain,
( ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p754]) ).
cnf(p760,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p759,c5]) ).
cnf(p761,plain,
( qtd0(f(g(X0)),f(g(g(X0))))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p760,c0]) ).
cnf(p763,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p761,p93]) ).
cnf(p766,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p763]) ).
cnf(p767,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p766,c4]) ).
cnf(p768,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p767,c18]) ).
cnf(p769,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p768]) ).
cnf(p774,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p769,c1]) ).
cnf(p775,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p774,c44]) ).
cnf(p776,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p775]) ).
cnf(p778,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p776,c1]) ).
cnf(p780,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p778,c10]) ).
cnf(p781,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p780]) ).
cnf(p783,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p781,c1]) ).
cnf(p784,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p783,c35]) ).
cnf(p786,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p784]) ).
cnf(p790,plain,
( ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p786]) ).
cnf(p791,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p790,c5]) ).
cnf(p792,plain,
( qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p791,c53]) ).
cnf(p796,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p792,p150]) ).
cnf(p798,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p796]) ).
cnf(p799,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p798,c4]) ).
cnf(p800,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p799,c44]) ).
cnf(p802,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p800]) ).
cnf(p804,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p802,c1]) ).
cnf(p805,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p804,c10]) ).
cnf(p806,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p805]) ).
cnf(p809,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p806,c1]) ).
cnf(p810,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p809,c35]) ).
cnf(p811,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p810]) ).
cnf(p815,plain,
( ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p811]) ).
cnf(p817,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p815,c5]) ).
cnf(p818,plain,
( qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p817,c6]) ).
cnf(p821,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p818,p251]) ).
cnf(p823,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p821]) ).
cnf(p825,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p823,c4]) ).
cnf(p826,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p825,c10]) ).
cnf(p827,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p826]) ).
cnf(p829,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p827,c1]) ).
cnf(p831,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p829,c35]) ).
cnf(p832,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p831]) ).
cnf(p836,plain,
( ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p832]) ).
cnf(p837,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p836,c5]) ).
cnf(p839,plain,
( qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p837,c15]) ).
cnf(p842,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p839,p438]) ).
cnf(p844,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p842]) ).
cnf(p845,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p844,c4]) ).
cnf(p847,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p845,c35]) ).
cnf(p848,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p847]) ).
cnf(p852,plain,
( ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p848]) ).
cnf(p853,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p852,c5]) ).
cnf(p9128,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9116,p853]) ).
cnf(p9129,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p9128]) ).
cnf(p9130,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9129,c4]) ).
cnf(p9131,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9130,c2]) ).
cnf(p9134,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9131,c1]) ).
cnf(p9135,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p9134]) ).
cnf(p9136,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9135,c49]) ).
cnf(p9138,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9136,c1]) ).
cnf(p9142,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p9138]) ).
cnf(p9143,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9142,c20]) ).
cnf(p9145,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9143,c1]) ).
cnf(p9146,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p9145]) ).
cnf(p9148,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9146,c30]) ).
cnf(p9151,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p9148,c5]) ).
cnf(p9152,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p9151]) ).
cnf(p9154,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p9152]) ).
cnf(f47,axiom,
( qtd0(f(A_20),f(g(A_20)))
| ~ qtd0(s(s(s(s(qtd1)))),f(g(A_20)))
| ~ qtd0(s(s(s(s(qtd1)))),f(A_20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_55_48) ).
fof(f47_nnf,plain,
! [A_20] :
( qtd0(f(A_20),f(g(A_20)))
| ~ qtd0(s(s(s(s(qtd1)))),f(g(A_20)))
| ~ qtd0(s(s(s(s(qtd1)))),f(A_20)) ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
! [A_20] :
( qtd0(f(A_20),f(g(A_20)))
| ~ qtd0(s(s(s(s(qtd1)))),f(g(A_20)))
| ~ qtd0(s(s(s(s(qtd1)))),f(A_20)) ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c47,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(qtd1)))),f(g(X0)))
| ~ qtd0(s(s(s(s(qtd1)))),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(p9157,plain,
( qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| ~ qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p9154,c47]) ).
cnf(p503,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p394,c5]) ).
cnf(p677,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p503,c31]) ).
cnf(p892,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p677,p58]) ).
cnf(p1048,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p892]) ).
cnf(p1138,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1048,c4]) ).
cnf(p1139,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1138,c12]) ).
cnf(p1449,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| ~ iLEQ(g(X0),g(g(X0)))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p1139]) ).
cnf(p1496,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1449,c1]) ).
cnf(p1497,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1496,c18]) ).
cnf(p1591,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p1497]) ).
cnf(p1595,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1591,c1]) ).
cnf(p1596,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1595,c44]) ).
cnf(p1597,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p1596]) ).
cnf(p1599,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1597,c1]) ).
cnf(p1602,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1599,c10]) ).
cnf(p1603,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p1602]) ).
cnf(p1605,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1603,c1]) ).
cnf(p1606,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1605,c35]) ).
cnf(p1609,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p1606]) ).
cnf(p1621,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1609,c1]) ).
cnf(p1622,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1621,c2]) ).
cnf(p1625,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1622,c5]) ).
cnf(p1627,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p1625]) ).
cnf(p1629,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p1627]) ).
cnf(p1630,plain,
( qtd0(f(g(X0)),f(g(g(X0))))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1629,c0]) ).
cnf(p1633,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1630,p93]) ).
cnf(p1635,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p1633]) ).
cnf(p1636,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1635,c4]) ).
cnf(p1638,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1636,c18]) ).
cnf(p1639,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p1638]) ).
cnf(p1641,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1639,c1]) ).
cnf(p1642,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1641,c44]) ).
cnf(p1644,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p1642]) ).
cnf(p1646,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1644,c1]) ).
cnf(p1647,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1646,c10]) ).
cnf(p1648,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p1647]) ).
cnf(p1651,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1648,c1]) ).
cnf(p1652,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1651,c35]) ).
cnf(p1653,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p1652]) ).
cnf(p1655,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1653,c1]) ).
cnf(p1658,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1655,c2]) ).
cnf(p1661,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p1658,c5]) ).
cnf(p1663,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p1661]) ).
cnf(p1665,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p1663]) ).
cnf(p1667,plain,
( qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1665,c53]) ).
cnf(p1671,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1667,p150]) ).
cnf(p1673,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p1671]) ).
cnf(p1674,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1673,c4]) ).
cnf(p1676,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1674,c44]) ).
cnf(p1677,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p1676]) ).
cnf(p1679,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1677,c1]) ).
cnf(p1680,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1679,c10]) ).
cnf(p1682,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p1680]) ).
cnf(p1684,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1682,c1]) ).
cnf(p1685,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1684,c35]) ).
cnf(p1686,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p1685]) ).
cnf(p1689,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1686,c1]) ).
cnf(p1690,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1689,c2]) ).
cnf(p1693,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p1690,c5]) ).
cnf(p1695,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p1693]) ).
cnf(p1698,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p1695]) ).
cnf(p1699,plain,
( qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p1698,c6]) ).
cnf(p1702,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p1699,p251]) ).
cnf(p1704,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p1702]) ).
cnf(p1706,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p1704,c4]) ).
cnf(p1707,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p1706,c10]) ).
cnf(p1708,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p1707]) ).
cnf(p1710,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p1708,c1]) ).
cnf(p1712,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p1710,c35]) ).
cnf(p1713,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p1712]) ).
cnf(p1715,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p1713,c1]) ).
cnf(p1716,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p1715,c2]) ).
cnf(p1720,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p1716,c5]) ).
cnf(p1722,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p1720]) ).
cnf(p1724,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p1722]) ).
cnf(p1725,plain,
( qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p1724,c15]) ).
cnf(p1730,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p1725,p438]) ).
cnf(p1732,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p1730]) ).
cnf(p1733,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p1732,c4]) ).
cnf(p1734,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p1733,c35]) ).
cnf(p1736,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p1734]) ).
cnf(p1738,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p1736,c1]) ).
cnf(p1739,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p1738,c2]) ).
cnf(p1742,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p1739,c5]) ).
cnf(p1745,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p1742]) ).
cnf(p1747,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p1745]) ).
cnf(p1748,plain,
( qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p1747,c22]) ).
cnf(p1750,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p1748,p853]) ).
cnf(p1753,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p1750]) ).
cnf(p1754,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p1753,c4]) ).
cnf(p1755,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p1754,c2]) ).
cnf(p1758,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p1755,c5]) ).
cnf(p1761,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p1758]) ).
cnf(p1763,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p1761]) ).
cnf(p9159,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p9157,p1763]) ).
cnf(p9160,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p9159]) ).
cnf(p9161,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p9160,c4]) ).
cnf(p9163,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p9161,c49]) ).
cnf(p9165,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p9163,c1]) ).
cnf(p9166,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p9165]) ).
cnf(p9167,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p9166,c20]) ).
cnf(p9177,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p9167,c1]) ).
cnf(p9178,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p9177]) ).
cnf(p9179,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p9178,c30]) ).
cnf(p9182,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p9179,c5]) ).
cnf(p9184,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p9182]) ).
cnf(p9186,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p9184]) ).
cnf(f11,axiom,
( qtd0(f(A_23),f(g(A_23)))
| ~ qtd0(s(s(s(qtd1))),f(g(A_23)))
| ~ qtd0(s(s(s(qtd1))),f(A_23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29_12) ).
fof(f11_nnf,plain,
! [A_23] :
( qtd0(f(A_23),f(g(A_23)))
| ~ qtd0(s(s(s(qtd1))),f(g(A_23)))
| ~ qtd0(s(s(s(qtd1))),f(A_23)) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A_23] :
( qtd0(f(A_23),f(g(A_23)))
| ~ qtd0(s(s(s(qtd1))),f(g(A_23)))
| ~ qtd0(s(s(s(qtd1))),f(A_23)) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(qtd1))),f(g(X0)))
| ~ qtd0(s(s(s(qtd1))),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p9187,plain,
( qtd0(f(g(g(g(g(g(g(g(X0)))))))),f(g(g(g(g(g(g(g(g(X0))))))))))
| ~ qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p9186,c11]) ).
cnf(p907,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p685,c5]) ).
cnf(p1075,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p907,c31]) ).
cnf(p1374,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1075,p58]) ).
cnf(p1807,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p1374]) ).
cnf(p2112,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1807,c4]) ).
cnf(p2519,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p2112,c12]) ).
cnf(p2829,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| ~ iLEQ(g(X0),g(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p2519]) ).
cnf(p2832,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p2829,c1]) ).
cnf(p2833,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p2832,c18]) ).
cnf(p3115,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p2833]) ).
cnf(p3311,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3115,c1]) ).
cnf(p3312,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3311,c44]) ).
cnf(p3497,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p3312]) ).
cnf(p3499,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3497,c1]) ).
cnf(p3501,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3499,c10]) ).
cnf(p3503,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p3501]) ).
cnf(p3505,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3503,c1]) ).
cnf(p3507,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3505,c35]) ).
cnf(p3508,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p3507]) ).
cnf(p3581,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3508,c1]) ).
cnf(p3582,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3581,c2]) ).
cnf(p3584,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3582,c1]) ).
cnf(p3590,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p3584]) ).
cnf(p3593,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3590,c49]) ).
cnf(p3596,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3593,c5]) ).
cnf(p3598,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p3596]) ).
cnf(p3600,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p3598]) ).
cnf(p3602,plain,
( qtd0(f(g(X0)),f(g(g(X0))))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3600,c0]) ).
cnf(p3608,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3602,p93]) ).
cnf(p3611,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p3608]) ).
cnf(p3612,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3611,c4]) ).
cnf(p3614,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3612,c18]) ).
cnf(p3615,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p3614]) ).
cnf(p3617,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3615,c1]) ).
cnf(p3618,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3617,c44]) ).
cnf(p3620,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p3618]) ).
cnf(p3622,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3620,c1]) ).
cnf(p3623,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3622,c10]) ).
cnf(p3624,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p3623]) ).
cnf(p3626,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3624,c1]) ).
cnf(p3627,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3626,c35]) ).
cnf(p3628,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p3627]) ).
cnf(p3630,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3628,c1]) ).
cnf(p3631,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3630,c2]) ).
cnf(p3633,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3631,c1]) ).
cnf(p3634,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p3633]) ).
cnf(p3635,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3634,c49]) ).
cnf(p3639,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p3635,c5]) ).
cnf(p3641,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p3639]) ).
cnf(p3643,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p3641]) ).
cnf(p3644,plain,
( qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3643,c53]) ).
cnf(p3651,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3644,p150]) ).
cnf(p3653,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p3651]) ).
cnf(p3654,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3653,c4]) ).
cnf(p3655,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3654,c44]) ).
cnf(p3657,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p3655]) ).
cnf(p3659,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3657,c1]) ).
cnf(p3660,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3659,c10]) ).
cnf(p3661,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p3660]) ).
cnf(p3665,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3661,c1]) ).
cnf(p3666,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3665,c35]) ).
cnf(p3667,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p3666]) ).
cnf(p3669,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3667,c1]) ).
cnf(p3673,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3669,c2]) ).
cnf(p3675,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3673,c1]) ).
cnf(p3676,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p3675]) ).
cnf(p3677,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3676,c49]) ).
cnf(p3683,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p3677,c5]) ).
cnf(p3685,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p3683]) ).
cnf(p3687,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p3685]) ).
cnf(p3688,plain,
( qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3687,c6]) ).
cnf(p3692,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3688,p251]) ).
cnf(p3694,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p3692]) ).
cnf(p3695,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3694,c4]) ).
cnf(p3696,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3695,c10]) ).
cnf(p3698,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p3696]) ).
cnf(p3700,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3698,c1]) ).
cnf(p3701,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3700,c35]) ).
cnf(p3702,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p3701]) ).
cnf(p3706,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3702,c1]) ).
cnf(p3707,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3706,c2]) ).
cnf(p3709,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3707,c1]) ).
cnf(p3710,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p3709]) ).
cnf(p3712,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3710,c49]) ).
cnf(p3715,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p3712,c5]) ).
cnf(p3717,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p3715]) ).
cnf(p3719,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p3717]) ).
cnf(p3721,plain,
( qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p3719,c15]) ).
cnf(p3723,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p3721,p438]) ).
cnf(p3725,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p3723]) ).
cnf(p3726,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p3725,c4]) ).
cnf(p3728,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p3726,c35]) ).
cnf(p3729,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p3728]) ).
cnf(p3731,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p3729,c1]) ).
cnf(p3732,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p3731,c2]) ).
cnf(p3735,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p3732,c1]) ).
cnf(p3736,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p3735]) ).
cnf(p3737,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p3736,c49]) ).
cnf(p3740,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p3737,c5]) ).
cnf(p3743,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p3740]) ).
cnf(p3745,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p3743]) ).
cnf(p3746,plain,
( qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p3745,c22]) ).
cnf(p3748,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p3746,p853]) ).
cnf(p3752,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p3748]) ).
cnf(p3753,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p3752,c4]) ).
cnf(p3754,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p3753,c2]) ).
cnf(p3756,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p3754,c1]) ).
cnf(p3759,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p3756]) ).
cnf(p3760,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p3759,c49]) ).
cnf(p3763,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p3760,c5]) ).
cnf(p3765,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p3763]) ).
cnf(p3768,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p3765]) ).
cnf(p3769,plain,
( qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| ~ qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p3768,c47]) ).
cnf(p3771,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p3769,p1763]) ).
cnf(p3773,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p3771]) ).
cnf(p3775,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p3773,c4]) ).
cnf(p3776,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p3775,c49]) ).
cnf(p3779,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p3776,c5]) ).
cnf(p3781,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p3779]) ).
cnf(p3784,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p3781]) ).
cnf(p9189,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(f(g(g(g(g(g(g(g(X0)))))))),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p9187,p3784]) ).
cnf(p9191,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(f(g(g(g(g(g(g(g(X0)))))))),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(factoring,[status(thm)],[p9189]) ).
cnf(p9192,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p9191,c4]) ).
cnf(p9193,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p9192,c20]) ).
cnf(p9195,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p9193,c1]) ).
cnf(p9197,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(factoring,[status(thm)],[p9195]) ).
cnf(p9198,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p9197,c30]) ).
cnf(p9201,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p9198,c5]) ).
cnf(p9202,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(factoring,[status(thm)],[p9201]) ).
cnf(p9205,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(factoring,[status(thm)],[p9202]) ).
cnf(f21,axiom,
( qtd0(f(A_26),f(g(A_26)))
| ~ qtd0(s(s(qtd1)),f(g(A_26)))
| ~ qtd0(s(s(qtd1)),f(A_26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20_22) ).
fof(f21_nnf,plain,
! [A_26] :
( qtd0(f(A_26),f(g(A_26)))
| ~ qtd0(s(s(qtd1)),f(g(A_26)))
| ~ qtd0(s(s(qtd1)),f(A_26)) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [A_26] :
( qtd0(f(A_26),f(g(A_26)))
| ~ qtd0(s(s(qtd1)),f(g(A_26)))
| ~ qtd0(s(s(qtd1)),f(A_26)) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(qtd1)),f(g(X0)))
| ~ qtd0(s(s(qtd1)),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p9206,plain,
( qtd0(f(g(g(g(g(g(g(g(g(X0))))))))),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| ~ qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p9205,c21]) ).
cnf(p1389,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p1083,c5]) ).
cnf(p1853,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1389,c31]) ).
cnf(p2177,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p1853,p58]) ).
cnf(p2656,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(f(X0),f(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p2177]) ).
cnf(p2929,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p2656,c4]) ).
cnf(p3189,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p2929,c12]) ).
cnf(p3591,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| ~ iLEQ(g(X0),g(g(X0)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p3189]) ).
cnf(p4394,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3591,c1]) ).
cnf(p4964,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p4394,c18]) ).
cnf(p5396,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p4964]) ).
cnf(p5407,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p5396,c1]) ).
cnf(p5408,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p5407,c44]) ).
cnf(p5728,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p5408]) ).
cnf(p6016,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p5728,c1]) ).
cnf(p6046,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6016,c10]) ).
cnf(p6053,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p6046]) ).
cnf(p6057,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6053,c1]) ).
cnf(p6058,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6057,c35]) ).
cnf(p6059,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p6058]) ).
cnf(p6067,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6059,c1]) ).
cnf(p6070,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6067,c2]) ).
cnf(p6072,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6070,c1]) ).
cnf(p6078,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p6072]) ).
cnf(p6079,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6078,c49]) ).
cnf(p6081,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6079,c1]) ).
cnf(p6094,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p6081]) ).
cnf(p6095,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6094,c20]) ).
cnf(p6098,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6095,c5]) ).
cnf(p6100,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p6098]) ).
cnf(p6104,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p6100]) ).
cnf(p6105,plain,
( qtd0(f(g(X0)),f(g(g(X0))))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6104,c0]) ).
cnf(p6112,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6105,p93]) ).
cnf(p6114,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p6112]) ).
cnf(p6116,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6114,c4]) ).
cnf(p6117,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6116,c18]) ).
cnf(p6118,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p6117]) ).
cnf(p6120,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6118,c1]) ).
cnf(p6122,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6120,c44]) ).
cnf(p6123,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p6122]) ).
cnf(p6125,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6123,c1]) ).
cnf(p6126,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6125,c10]) ).
cnf(p6128,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p6126]) ).
cnf(p6130,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6128,c1]) ).
cnf(p6131,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6130,c35]) ).
cnf(p6132,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p6131]) ).
cnf(p6135,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6132,c1]) ).
cnf(p6136,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6135,c2]) ).
cnf(p6138,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6136,c1]) ).
cnf(p6139,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p6138]) ).
cnf(p6141,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6139,c49]) ).
cnf(p6143,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6141,c1]) ).
cnf(p6144,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p6143]) ).
cnf(p6145,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6144,c20]) ).
cnf(p6150,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p6145,c5]) ).
cnf(p6152,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p6150]) ).
cnf(p6154,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p6152]) ).
cnf(p6155,plain,
( qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6154,c53]) ).
cnf(p6161,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6155,p150]) ).
cnf(p6163,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p6161]) ).
cnf(p6164,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6163,c4]) ).
cnf(p6165,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6164,c44]) ).
cnf(p6168,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p6165]) ).
cnf(p6170,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6168,c1]) ).
cnf(p6171,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6170,c10]) ).
cnf(p6172,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p6171]) ).
cnf(p6175,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6172,c1]) ).
cnf(p6176,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6175,c35]) ).
cnf(p6177,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p6176]) ).
cnf(p6179,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6177,c1]) ).
cnf(p6181,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6179,c2]) ).
cnf(p6183,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6181,c1]) ).
cnf(p6184,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p6183]) ).
cnf(p6185,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6184,c49]) ).
cnf(p6188,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6185,c1]) ).
cnf(p6189,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p6188]) ).
cnf(p6190,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6189,c20]) ).
cnf(p6193,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p6190,c5]) ).
cnf(p6197,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p6193]) ).
cnf(p6199,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p6197]) ).
cnf(p6200,plain,
( qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6199,c6]) ).
cnf(p6204,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6200,p251]) ).
cnf(p6208,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p6204]) ).
cnf(p6209,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6208,c4]) ).
cnf(p6210,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6209,c10]) ).
cnf(p6211,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p6210]) ).
cnf(p6215,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6211,c1]) ).
cnf(p6216,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6215,c35]) ).
cnf(p6217,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p6216]) ).
cnf(p6219,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6217,c1]) ).
cnf(p6222,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6219,c2]) ).
cnf(p6224,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6222,c1]) ).
cnf(p6225,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p6224]) ).
cnf(p6226,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6225,c49]) ).
cnf(p6229,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6226,c1]) ).
cnf(p6230,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p6229]) ).
cnf(p6231,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6230,c20]) ).
cnf(p6234,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p6231,c5]) ).
cnf(p6237,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p6234]) ).
cnf(p6239,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p6237]) ).
cnf(p6240,plain,
( qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6239,c15]) ).
cnf(p6242,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6240,p438]) ).
cnf(p6245,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p6242]) ).
cnf(p6246,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6245,c4]) ).
cnf(p6247,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6246,c35]) ).
cnf(p6248,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p6247]) ).
cnf(p6251,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6248,c1]) ).
cnf(p6252,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6251,c2]) ).
cnf(p6254,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6252,c1]) ).
cnf(p6255,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p6254]) ).
cnf(p6258,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6255,c49]) ).
cnf(p6260,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6258,c1]) ).
cnf(p6261,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p6260]) ).
cnf(p6262,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6261,c20]) ).
cnf(p6267,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p6262,c5]) ).
cnf(p6269,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p6267]) ).
cnf(p6271,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p6269]) ).
cnf(p6272,plain,
( qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p6271,c22]) ).
cnf(p6275,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p6272,p853]) ).
cnf(p6277,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p6275]) ).
cnf(p6278,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p6277,c4]) ).
cnf(p6279,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p6278,c2]) ).
cnf(p6283,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p6279,c1]) ).
cnf(p6284,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p6283]) ).
cnf(p6285,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p6284,c49]) ).
cnf(p6287,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p6285,c1]) ).
cnf(p6289,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p6287]) ).
cnf(p6290,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p6289,c20]) ).
cnf(p6293,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p6290,c5]) ).
cnf(p6295,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p6293]) ).
cnf(p6298,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p6295]) ).
cnf(p6299,plain,
( qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| ~ qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p6298,c47]) ).
cnf(p6301,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p6299,p1763]) ).
cnf(p6303,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p6301]) ).
cnf(p6306,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p6303,c4]) ).
cnf(p6307,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p6306,c49]) ).
cnf(p6309,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p6307,c1]) ).
cnf(p6310,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p6309]) ).
cnf(p6312,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p6310,c20]) ).
cnf(p6315,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p6312,c5]) ).
cnf(p6317,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p6315]) ).
cnf(p6319,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p6317]) ).
cnf(p6321,plain,
( qtd0(f(g(g(g(g(g(g(g(X0)))))))),f(g(g(g(g(g(g(g(g(X0))))))))))
| ~ qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p6319,c11]) ).
cnf(p6323,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(f(g(g(g(g(g(g(g(X0)))))))),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p6321,p3784]) ).
cnf(p6325,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(f(g(g(g(g(g(g(g(X0)))))))),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(factoring,[status(thm)],[p6323]) ).
cnf(p6326,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p6325,c4]) ).
cnf(p6328,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p6326,c20]) ).
cnf(p6331,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p6328,c5]) ).
cnf(p6333,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(factoring,[status(thm)],[p6331]) ).
cnf(p6335,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(factoring,[status(thm)],[p6333]) ).
cnf(p9208,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(f(g(g(g(g(g(g(g(g(X0))))))))),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p9206,p6335]) ).
cnf(p9209,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(f(g(g(g(g(g(g(g(g(X0))))))))),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(factoring,[status(thm)],[p9208]) ).
cnf(p9211,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p9209,c4]) ).
cnf(p9212,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p9211,c30]) ).
cnf(p9215,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p9212,c5]) ).
cnf(p9216,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(factoring,[status(thm)],[p9215]) ).
cnf(p9219,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(factoring,[status(thm)],[p9216]) ).
cnf(p2211,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p1865,c1]) ).
cnf(f51,axiom,
~ qtd2(f(A_30),qtd1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_38_52) ).
fof(f51_nnf,plain,
! [A_30] : ~ qtd2(f(A_30),qtd1),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
! [A_30] : ~ qtd2(f(A_30),qtd1),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c51,plain,
~ qtd2(f(X0),qtd1),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(p2715,plain,
( qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(X0)) ),
inference(resolution,[status(thm)],[p2211,c51]) ).
cnf(p3063,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(s(s(s(s(s(s(s(s(s(qtd1)))))))))),f(g(X0)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p2715,c31]) ).
cnf(p3385,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0)))
| qtd0(f(X0),f(g(X0)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3063,p58]) ).
cnf(p3783,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(f(X0),f(g(X0)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p3385]) ).
cnf(p4634,plain,
( qtd2(f(g(X0)),s(s(s(s(s(s(s(s(s(qtd1))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p3783,c4]) ).
cnf(p5225,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(X1))
| ~ iLEQ(g(X0),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p4634,c12]) ).
cnf(p5554,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| ~ iLEQ(g(X0),g(g(X0)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p5225]) ).
cnf(p5847,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p5554,c1]) ).
cnf(p6047,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p5847,c18]) ).
cnf(p6256,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p6047]) ).
cnf(p7085,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p6256,c1]) ).
cnf(p7611,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p7085,c44]) ).
cnf(p7909,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p7611]) ).
cnf(p8165,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p7909,c1]) ).
cnf(p8229,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8165,c10]) ).
cnf(p8233,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8229]) ).
cnf(p8235,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8233,c1]) ).
cnf(p8238,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8235,c35]) ).
cnf(p8239,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8238]) ).
cnf(p8241,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8239,c1]) ).
cnf(p8242,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8241,c2]) ).
cnf(p8245,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8242,c1]) ).
cnf(p8246,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8245]) ).
cnf(p8247,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8246,c49]) ).
cnf(p8249,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8247,c1]) ).
cnf(p8251,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8249]) ).
cnf(p8252,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8251,c20]) ).
cnf(p8254,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8252,c1]) ).
cnf(p8255,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8254]) ).
cnf(p8258,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8255,c30]) ).
cnf(p8261,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8258,c1]) ).
cnf(p8269,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(factoring,[status(thm)],[p8261]) ).
cnf(p8271,plain,
( qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(X0))) ),
inference(resolution,[status(thm)],[p8269,c51]) ).
cnf(p8272,plain,
( qtd0(f(g(X0)),f(g(g(X0))))
| ~ qtd0(s(s(s(s(s(s(s(s(s(qtd1))))))))),f(g(g(X0))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8271,c0]) ).
cnf(p8275,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8272,p93]) ).
cnf(p8277,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(f(g(X0)),f(g(g(X0))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8275]) ).
cnf(p8279,plain,
( qtd2(f(g(g(X0))),s(s(s(s(s(s(s(s(qtd1)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8277,c4]) ).
cnf(p8280,plain,
( qtd2(f(X1),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(X1))
| ~ iLEQ(g(g(X0)),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8279,c18]) ).
cnf(p8281,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| ~ iLEQ(g(g(X0)),g(g(g(X0))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8280]) ).
cnf(p8283,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8281,c1]) ).
cnf(p8285,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8283,c44]) ).
cnf(p8286,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8285]) ).
cnf(p8288,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8286,c1]) ).
cnf(p8289,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8288,c10]) ).
cnf(p8292,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8289]) ).
cnf(p8294,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8292,c1]) ).
cnf(p8295,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8294,c35]) ).
cnf(p8296,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8295]) ).
cnf(p8299,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8296,c1]) ).
cnf(p8300,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8299,c2]) ).
cnf(p8302,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8300,c1]) ).
cnf(p8303,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8302]) ).
cnf(p8305,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8303,c49]) ).
cnf(p8307,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8305,c1]) ).
cnf(p8308,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8307]) ).
cnf(p8309,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8308,c20]) ).
cnf(p8312,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8309,c1]) ).
cnf(p8313,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8312]) ).
cnf(p8314,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8313,c30]) ).
cnf(p8317,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8314,c1]) ).
cnf(p8326,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(factoring,[status(thm)],[p8317]) ).
cnf(p8327,plain,
( qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[p8326,c51]) ).
cnf(p8328,plain,
( qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| ~ qtd0(s(s(s(s(s(s(s(s(qtd1)))))))),f(g(g(g(X0)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8327,c53]) ).
cnf(p8334,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0)))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8328,p150]) ).
cnf(p8336,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(f(g(g(X0))),f(g(g(g(X0)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p8334]) ).
cnf(p8337,plain,
( qtd2(f(g(g(g(X0)))),s(s(s(s(s(s(s(qtd1))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8336,c4]) ).
cnf(p8338,plain,
( qtd2(f(X1),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(X1))
| ~ iLEQ(g(g(g(X0))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8337,c44]) ).
cnf(p8340,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| ~ iLEQ(g(g(g(X0))),g(g(g(g(X0)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p8338]) ).
cnf(p8342,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8340,c1]) ).
cnf(p8343,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8342,c10]) ).
cnf(p8344,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p8343]) ).
cnf(p8347,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8344,c1]) ).
cnf(p8348,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8347,c35]) ).
cnf(p8349,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p8348]) ).
cnf(p8351,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8349,c1]) ).
cnf(p8354,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8351,c2]) ).
cnf(p8356,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8354,c1]) ).
cnf(p8357,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p8356]) ).
cnf(p8358,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8357,c49]) ).
cnf(p8361,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8358,c1]) ).
cnf(p8362,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p8361]) ).
cnf(p8363,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8362,c20]) ).
cnf(p8365,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8363,c1]) ).
cnf(p8367,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p8365]) ).
cnf(p8368,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8367,c30]) ).
cnf(p8371,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8368,c1]) ).
cnf(p8378,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(factoring,[status(thm)],[p8371]) ).
cnf(p8379,plain,
( qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[p8378,c51]) ).
cnf(p8380,plain,
( qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| ~ qtd0(s(s(s(s(s(s(s(qtd1))))))),f(g(g(g(g(X0))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8379,c6]) ).
cnf(p8383,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8380,p251]) ).
cnf(p8387,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(f(g(g(g(X0)))),f(g(g(g(g(X0))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p8383]) ).
cnf(p8388,plain,
( qtd2(f(g(g(g(g(X0))))),s(s(s(s(s(s(qtd1)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8387,c4]) ).
cnf(p8389,plain,
( qtd2(f(X1),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8388,c10]) ).
cnf(p8390,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| ~ iLEQ(g(g(g(g(X0)))),g(g(g(g(g(X0))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p8389]) ).
cnf(p8394,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8390,c1]) ).
cnf(p8395,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8394,c35]) ).
cnf(p8396,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p8395]) ).
cnf(p8398,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8396,c1]) ).
cnf(p8401,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8398,c2]) ).
cnf(p8403,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8401,c1]) ).
cnf(p8404,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p8403]) ).
cnf(p8405,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8404,c49]) ).
cnf(p8408,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8405,c1]) ).
cnf(p8409,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p8408]) ).
cnf(p8410,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8409,c20]) ).
cnf(p8412,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8410,c1]) ).
cnf(p8414,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p8412]) ).
cnf(p8415,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8414,c30]) ).
cnf(p8418,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8415,c1]) ).
cnf(p8424,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(factoring,[status(thm)],[p8418]) ).
cnf(p8425,plain,
( qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[p8424,c51]) ).
cnf(p8426,plain,
( qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| ~ qtd0(s(s(s(s(s(s(qtd1)))))),f(g(g(g(g(g(X0)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8425,c15]) ).
cnf(p8429,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0)))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8426,p438]) ).
cnf(p8433,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(f(g(g(g(g(X0))))),f(g(g(g(g(g(X0)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p8429]) ).
cnf(p8434,plain,
( qtd2(f(g(g(g(g(g(X0)))))),s(s(s(s(s(qtd1))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8433,c4]) ).
cnf(p8435,plain,
( qtd2(f(X1),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(X1))
| ~ iLEQ(g(g(g(g(g(X0))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8434,c35]) ).
cnf(p8436,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| ~ iLEQ(g(g(g(g(g(X0))))),g(g(g(g(g(g(X0)))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p8435]) ).
cnf(p8439,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8436,c1]) ).
cnf(p8440,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8439,c2]) ).
cnf(p8442,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8440,c1]) ).
cnf(p8443,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p8442]) ).
cnf(p8445,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8443,c49]) ).
cnf(p8447,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8445,c1]) ).
cnf(p8448,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p8447]) ).
cnf(p8449,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8448,c20]) ).
cnf(p8453,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8449,c1]) ).
cnf(p8454,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p8453]) ).
cnf(p8455,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8454,c30]) ).
cnf(p8458,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8455,c1]) ).
cnf(p8464,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(factoring,[status(thm)],[p8458]) ).
cnf(p8465,plain,
( qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[p8464,c51]) ).
cnf(p8466,plain,
( qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| ~ qtd0(s(s(s(s(s(qtd1))))),f(g(g(g(g(g(g(X0))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8465,c22]) ).
cnf(p8470,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0))))))))
| qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8466,p853]) ).
cnf(p8472,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(f(g(g(g(g(g(X0)))))),f(g(g(g(g(g(g(X0))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p8470]) ).
cnf(p8473,plain,
( qtd2(f(g(g(g(g(g(g(X0))))))),s(s(s(s(qtd1)))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8472,c4]) ).
cnf(p8474,plain,
( qtd2(f(X1),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(X1))
| ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8473,c2]) ).
cnf(p8478,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8474,c1]) ).
cnf(p8479,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p8478]) ).
cnf(p8480,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8479,c49]) ).
cnf(p8482,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8480,c1]) ).
cnf(p8484,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p8482]) ).
cnf(p8485,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8484,c20]) ).
cnf(p8487,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8485,c1]) ).
cnf(p8488,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p8487]) ).
cnf(p8490,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8488,c30]) ).
cnf(p8493,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8490,c1]) ).
cnf(p8498,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(factoring,[status(thm)],[p8493]) ).
cnf(p8500,plain,
( qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[status(thm)],[p8498,c51]) ).
cnf(p8501,plain,
( qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| ~ qtd0(s(s(s(s(qtd1)))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p8500,c47]) ).
cnf(p8504,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p8501,p1763]) ).
cnf(p8506,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(f(g(g(g(g(g(g(X0))))))),f(g(g(g(g(g(g(g(X0)))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p8504]) ).
cnf(p8508,plain,
( qtd2(f(g(g(g(g(g(g(g(X0)))))))),s(s(s(qtd1))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p8506,c4]) ).
cnf(p8509,plain,
( qtd2(f(X1),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p8508,c49]) ).
cnf(p8511,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p8509,c1]) ).
cnf(p8512,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p8511]) ).
cnf(p8515,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p8512,c20]) ).
cnf(p8517,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p8515,c1]) ).
cnf(p8518,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p8517]) ).
cnf(p8519,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p8518,c30]) ).
cnf(p8523,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p8519,c1]) ).
cnf(p8527,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(factoring,[status(thm)],[p8523]) ).
cnf(p8528,plain,
( qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(resolution,[status(thm)],[p8527,c51]) ).
cnf(p8530,plain,
( qtd0(f(g(g(g(g(g(g(g(X0)))))))),f(g(g(g(g(g(g(g(g(X0))))))))))
| ~ qtd0(s(s(s(qtd1))),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p8528,c11]) ).
cnf(p8533,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(f(g(g(g(g(g(g(g(X0)))))))),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p8530,p3784]) ).
cnf(p8535,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(f(g(g(g(g(g(g(g(X0)))))))),f(g(g(g(g(g(g(g(g(X0))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(factoring,[status(thm)],[p8533]) ).
cnf(p8536,plain,
( qtd2(f(g(g(g(g(g(g(g(g(X0))))))))),s(s(qtd1)))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p8535,c4]) ).
cnf(p8539,plain,
( qtd2(f(X1),s(qtd1))
| qtd0(s(qtd1),f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p8536,c20]) ).
cnf(p8541,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p8539,c1]) ).
cnf(p8542,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(factoring,[status(thm)],[p8541]) ).
cnf(p8543,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p8542,c30]) ).
cnf(p8547,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p8543,c1]) ).
cnf(p8550,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(factoring,[status(thm)],[p8547]) ).
cnf(p8551,plain,
( qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[status(thm)],[p8550,c51]) ).
cnf(p8553,plain,
( qtd0(f(g(g(g(g(g(g(g(g(X0))))))))),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| ~ qtd0(s(s(qtd1)),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p8551,c21]) ).
cnf(p8555,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(f(g(g(g(g(g(g(g(g(X0))))))))),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p8553,p6335]) ).
cnf(p8576,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(f(g(g(g(g(g(g(g(g(X0))))))))),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(factoring,[status(thm)],[p8555]) ).
cnf(p8577,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s(qtd1))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p8576,c4]) ).
cnf(p8578,plain,
( qtd2(f(X1),qtd1)
| qtd0(qtd1,f(X1))
| ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p8577,c30]) ).
cnf(p8581,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p8578,c1]) ).
cnf(p8599,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(factoring,[status(thm)],[p8581]) ).
cnf(p8600,plain,
( qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[status(thm)],[p8599,c51]) ).
cnf(f34,axiom,
( qtd0(f(A_29),f(g(A_29)))
| ~ qtd0(s(qtd1),f(g(A_29)))
| ~ qtd0(s(qtd1),f(A_29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30_35) ).
fof(f34_nnf,plain,
! [A_29] :
( qtd0(f(A_29),f(g(A_29)))
| ~ qtd0(s(qtd1),f(g(A_29)))
| ~ qtd0(s(qtd1),f(A_29)) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [A_29] :
( qtd0(f(A_29),f(g(A_29)))
| ~ qtd0(s(qtd1),f(g(A_29)))
| ~ qtd0(s(qtd1),f(A_29)) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(s(qtd1),f(g(X0)))
| ~ qtd0(s(qtd1),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(p8601,plain,
( qtd0(f(g(g(g(g(g(g(g(g(g(X0)))))))))),f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| ~ qtd0(s(qtd1),f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))) ),
inference(resolution,[status(thm)],[p8600,c34]) ).
cnf(p9221,plain,
( qtd0(f(g(g(g(g(g(g(g(g(g(X0)))))))))),f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))) ),
inference(resolution,[status(thm)],[p9219,p8601]) ).
cnf(p9229,plain,
( qtd0(f(g(g(g(g(g(g(g(g(g(X0)))))))))),f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))) ),
inference(factoring,[status(thm)],[p9221]) ).
cnf(p9230,plain,
( qtd2(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),qtd1)
| qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))) ),
inference(resolution,[status(thm)],[p9229,c4]) ).
cnf(p9231,plain,
qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))),
inference(resolution,[status(thm)],[p9230,c51]) ).
cnf(f24,axiom,
( qtd0(f(A_30),f(g(A_30)))
| ~ qtd0(qtd1,f(g(A_30)))
| ~ qtd0(qtd1,f(A_30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2_25) ).
fof(f24_nnf,plain,
! [A_30] :
( qtd0(f(A_30),f(g(A_30)))
| ~ qtd0(qtd1,f(g(A_30)))
| ~ qtd0(qtd1,f(A_30)) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [A_30] :
( qtd0(f(A_30),f(g(A_30)))
| ~ qtd0(qtd1,f(g(A_30)))
| ~ qtd0(qtd1,f(A_30)) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( qtd0(f(X0),f(g(X0)))
| ~ qtd0(qtd1,f(g(X0)))
| ~ qtd0(qtd1,f(X0)) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p9233,plain,
( qtd0(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),f(g(g(g(g(g(g(g(g(g(g(g(X0)))))))))))))
| ~ qtd0(qtd1,f(g(g(g(g(g(g(g(g(g(g(g(X0))))))))))))) ),
inference(resolution,[status(thm)],[p9231,c24]) ).
cnf(p9234,plain,
qtd0(f(g(g(g(g(g(g(g(g(g(g(X0))))))))))),f(g(g(g(g(g(g(g(g(g(g(g(X0))))))))))))),
inference(resolution,[status(thm)],[p9233,p9231]) ).
cnf(p9235,plain,
$false,
inference(resolution,[status(thm)],[p9234,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO631-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 03:17:47 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 47.81/32.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.81/32.56 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------