TSTP Solution File: LCL844-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL844-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:51:20 EDT 2023
% Result : Unsatisfiable 0.20s 0.66s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL844-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 23:07:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % File :CSE---1.6
% 0.20/0.64 % Problem :theBenchmark
% 0.20/0.64 % Transform :cnf
% 0.20/0.64 % Format :tptp:raw
% 0.20/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.64
% 0.20/0.64 % Result :Theorem 0.000000s
% 0.20/0.64 % Output :CNFRefutation 0.000000s
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 % File : LCL844-1 : TPTP v8.1.2. Released v4.1.0.
% 0.20/0.64 % Domain : Logic Calculi
% 0.20/0.64 % Problem : Strong normalization of typed lambda calculus 257_14
% 0.20/0.64 % Version : Especial.
% 0.20/0.64 % English :
% 0.20/0.64
% 0.20/0.64 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.20/0.64 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.20/0.64 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.20/0.64 % Source : [Nip10]
% 0.20/0.64 % Names : StrongNorm-257_14 [Nip10]
% 0.20/0.64
% 0.20/0.64 % Status : Unsatisfiable
% 0.20/0.64 % Rating : 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v5.5.0, 0.05 v5.3.0, 0.06 v5.2.0, 0.00 v5.1.0, 0.06 v5.0.0, 0.07 v4.1.0
% 0.20/0.64 % Syntax : Number of clauses : 69 ( 26 unt; 10 nHn; 45 RR)
% 0.20/0.64 % Number of literals : 138 ( 35 equ; 72 neg)
% 0.20/0.64 % Maximal clause size : 4 ( 2 avg)
% 0.20/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.64 % Number of predicates : 11 ( 10 usr; 0 prp; 1-3 aty)
% 0.20/0.64 % Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% 0.20/0.65 % Number of variables : 148 ( 33 sgn)
% 0.20/0.65 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.65
% 0.20/0.65 % Comments :
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.20/0.65 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_of__nat__0_0,axiom,
% 0.20/0.65 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.20/0.65 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.20/0.65 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.20/0.65 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.20/0.65 | V_m = V_n ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_of__nat__less__iff_1,axiom,
% 0.20/0.65 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_of__nat__less__iff_0,axiom,
% 0.20/0.65 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_order__less__asym_H_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Opreorder(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_order__less__asym_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Opreorder(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.20/0.65 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_xt1_I9_J_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Oorder(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__App_0,axiom,
% 0.20/0.65 c_Lambda_Osubst(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubst(V_t,V_s,V_k),c_Lambda_Osubst(V_u,V_s,V_k)) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__eq_0,axiom,
% 0.20/0.65 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__lt_0,axiom,
% 0.20/0.65 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_neq0__conv_1,axiom,
% 0.20/0.65 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_gr0I_0,axiom,
% 0.20/0.65 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.20/0.65 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.20/0.65 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.20/0.65 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.65 | V_x = V_y
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_linorder__less__linear_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.20/0.65 | V_x = V_y
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_linorder__neqE_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.20/0.65 | V_x = V_y ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.20/0.65 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.20/0.65 | V_x = V_y ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_nat__neq__iff_0,axiom,
% 0.20/0.65 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.20/0.65 | V_m = V_n ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.65 | V_x = V_y
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.20/0.65 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.20/0.65 | V_x = V_y ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_order__less__irrefl_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Opreorder(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_linorder__neq__iff_1,axiom,
% 0.20/0.65 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_order__less__le_1,axiom,
% 0.20/0.65 ( ~ class_Orderings_Oorder(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_less__not__refl_0,axiom,
% 0.20/0.65 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_nat__less__le_1,axiom,
% 0.20/0.65 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__preserves__beta_0,axiom,
% 0.20/0.65 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i))
% 0.20/0.65 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__Var_2,axiom,
% 0.20/0.65 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.20/0.65 | V_i = V_k
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_order__less__trans_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Opreorder(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_xt1_I10_J_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Oorder(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_gr__implies__not0_0,axiom,
% 0.20/0.65 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_not__less0_0,axiom,
% 0.20/0.65 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__Var_1,axiom,
% 0.20/0.65 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.20/0.65 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__lift_0,axiom,
% 0.20/0.65 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.20/0.65 c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_beta__cases_I2_J_0,axiom,
% 0.20/0.65 ( V_s = c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(V_r,V_s))
% 0.20/0.65 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_r),V_s) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_app__Var__IT_0,axiom,
% 0.20/0.65 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(V_t,c_Lambda_OdB_OVar(V_i)))
% 0.20/0.65 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_lift__preserves__beta_0,axiom,
% 0.20/0.65 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i))
% 0.20/0.65 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.20/0.65 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_appL_0,axiom,
% 0.20/0.65 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_s,V_u),c_Lambda_OdB_OApp(V_t,V_u))
% 0.20/0.65 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_appR_0,axiom,
% 0.20/0.65 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_u,V_s),c_Lambda_OdB_OApp(V_u,V_t))
% 0.20/0.65 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.20/0.65 c_Lambda_Olift(c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Olift(V_s,V_k),c_Lambda_Olift(V_t,V_k)) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.20/0.65 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_beta_0,axiom,
% 0.20/0.65 c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(V_s),V_t),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.20/0.65 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H)
% 0.20/0.65 | V_dB2 = V_dB2_H ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.20/0.65 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H)
% 0.20/0.65 | V_dB1 = V_dB1_H ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.20/0.65 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_beta__cases_I2_J_1,axiom,
% 0.20/0.65 ( c_Lambda_Obeta(V_r,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(V_r,V_s))
% 0.20/0.65 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_r),V_s) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__Var__IT_0,axiom,
% 0.20/0.65 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j))
% 0.20/0.65 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.20/0.65 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.20/0.65 | V_nat = V_nat_H ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.20/0.65 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.20/0.65 c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.20/0.65 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OApp(V_dB1,V_dB2) ).
% 0.20/0.66
% 0.20/0.66 cnf(cls_Abs_I2_J_0,axiom,
% 0.20/0.66 c_InductTermi_OIT(v_ta______) ).
% 0.20/0.66
% 0.20/0.66 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.20/0.66 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.20/0.66 | V_dB = V_dB_H ) ).
% 0.20/0.66
% 0.20/0.66 cnf(cls_lift__IT_0,axiom,
% 0.20/0.66 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
% 0.20/0.66 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.20/0.66 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.20/0.66
% 0.20/0.66 cnf(cls_Var__IT_0,axiom,
% 0.20/0.66 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ).
% 0.20/0.66
% 0.20/0.66 cnf(cls_Lambda_0,axiom,
% 0.20/0.66 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
% 0.20/0.66 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(cls_abs_0,axiom,
% 0.20/0.66 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))
% 0.20/0.66 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(cls_conjecture_0,negated_conjecture,
% 0.20/0.66 ~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(v_ta______)) ).
% 0.20/0.66
% 0.20/0.66 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.20/0.66 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.20/0.66
% 0.20/0.66 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.20/0.66 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.20/0.66
% 0.20/0.66 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.20/0.66 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.20/0.66
% 0.20/0.66 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.20/0.66 class_Orderings_Opreorder(tc_nat) ).
% 0.20/0.66
% 0.20/0.66 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.20/0.66 class_Orderings_Olinorder(tc_nat) ).
% 0.20/0.66
% 0.20/0.66 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.20/0.66 class_Orderings_Oorder(tc_nat) ).
% 0.20/0.66
% 0.20/0.66 %------------------------------------------------------------------------------
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % Proof found
% 0.20/0.66 % SZS status Theorem for theBenchmark
% 0.20/0.66 % SZS output start Proof
% 0.20/0.66 %ClaNum:99(EqnAxiom:30)
% 0.20/0.66 %VarNum:263(SingletonVarNum:128)
% 0.20/0.66 %MaxLitNum:4
% 0.20/0.66 %MaxfuncDepth:2
% 0.20/0.66 %SharedTerms:13
% 0.20/0.66 %goalClause: 44
% 0.20/0.66 %singleGoalClaCount:1
% 0.20/0.66 [31]P1(a1)
% 0.20/0.66 [32]P10(a1)
% 0.20/0.66 [33]P2(a1)
% 0.20/0.66 [34]P6(a1)
% 0.20/0.66 [35]P7(a1)
% 0.20/0.66 [36]P8(a1)
% 0.20/0.66 [37]P3(a10)
% 0.20/0.66 [44]~P3(f4(a10))
% 0.20/0.66 [53]~P4(x531,x531,a1)
% 0.20/0.66 [38]P3(f2(x381))
% 0.20/0.66 [55]~P4(x551,f5(a1),a1)
% 0.20/0.66 [46]~E(f4(x461),f2(x462))
% 0.20/0.66 [51]~P5(f2(x511),x512)
% 0.20/0.66 [39]E(f6(f2(x391),x392,x391),x392)
% 0.20/0.66 [42]P5(f3(f4(x421),x422),f6(x421,x422,f5(a1)))
% 0.20/0.66 [47]~E(f2(x471),f3(x472,x473))
% 0.20/0.66 [48]~E(f4(x481),f3(x482,x483))
% 0.20/0.66 [49]~E(f3(x491,x492),f2(x493))
% 0.20/0.66 [50]~E(f3(x501,x502),f4(x503))
% 0.20/0.66 [40]E(f6(f7(x401,x402),x403,x402),x401)
% 0.20/0.66 [41]E(f3(f7(x411,x412),f7(x413,x412)),f7(f3(x411,x413),x412))
% 0.20/0.66 [43]E(f3(f6(x431,x432,x433),f6(x434,x432,x433)),f6(f3(x431,x434),x432,x433))
% 0.20/0.66 [59]~P3(x591)+P3(f4(x591))
% 0.20/0.66 [67]E(x671,f5(a1))+P4(f5(a1),x671,a1)
% 0.20/0.66 [60]~P10(x601)+E(f9(f5(a1),x601),f5(x601))
% 0.20/0.66 [73]~P4(x732,x732,x731)+~P6(x731)
% 0.20/0.66 [74]~P4(x742,x742,x741)+~P7(x741)
% 0.20/0.66 [75]~P4(x752,x752,x751)+~P8(x751)
% 0.20/0.66 [57]E(x571,x572)+~E(f2(x571),f2(x572))
% 0.20/0.66 [58]E(x581,x582)+~E(f4(x581),f4(x582))
% 0.20/0.66 [61]~P3(x611)+P3(f7(x611,x612))
% 0.20/0.66 [64]~P5(x641,x642)+P5(f4(x641),f4(x642))
% 0.20/0.66 [69]~P5(f4(x691),x692)+P5(x691,f8(x691,x692))
% 0.20/0.66 [87]~P1(x871)+~P4(f9(x872,x871),f5(x871),x871)
% 0.20/0.66 [65]~P3(x651)+P3(f3(x651,f2(x652)))
% 0.20/0.66 [68]~P5(f4(x681),x682)+E(f4(f8(x681,x682)),x682)
% 0.20/0.66 [76]~P4(x761,x762,a1)+E(f7(f2(x761),x762),f2(x761))
% 0.20/0.66 [70]~P5(x701,x703)+P5(f3(x701,x702),f3(x703,x702))
% 0.20/0.66 [71]~P5(x712,x713)+P5(f3(x711,x712),f3(x711,x713))
% 0.20/0.66 [72]~P5(x721,x723)+P5(f7(x721,x722),f7(x723,x722))
% 0.20/0.66 [86]~P3(x861)+P3(f6(x861,f2(x862),x863))
% 0.20/0.66 [88]~P4(x881,x883,a1)+E(f6(f2(x881),x882,x883),f2(x881))
% 0.20/0.66 [62]E(x621,x622)+~E(f3(x623,x621),f3(x624,x622))
% 0.20/0.66 [63]E(x631,x632)+~E(f3(x631,x633),f3(x632,x634))
% 0.20/0.66 [99]~P5(x991,x994)+P5(f6(x991,x992,x993),f6(x994,x992,x993))
% 0.20/0.66 [78]E(x781,x782)+P4(x782,x781,a1)+P4(x781,x782,a1)
% 0.20/0.66 [93]~P1(x931)+P4(f5(x931),f9(x932,x931),x931)+~P4(f5(a1),x932,a1)
% 0.20/0.66 [95]~P1(x952)+~P4(f5(x952),f9(x951,x952),x952)+P4(f5(a1),x951,a1)
% 0.20/0.66 [90]~P4(x903,x902,x901)+~P6(x901)+~P4(x902,x903,x901)
% 0.20/0.66 [91]~P4(x913,x912,x911)+~P7(x911)+~P4(x912,x913,x911)
% 0.20/0.66 [92]~P4(x923,x922,x921)+~P8(x921)+~P4(x922,x923,x921)
% 0.20/0.66 [66]~P2(x663)+E(x661,x662)+~E(f9(x661,x663),f9(x662,x663))
% 0.20/0.66 [94]~P1(x942)+~P4(x941,x943,a1)+P4(f9(x941,x942),f9(x943,x942),x942)
% 0.20/0.66 [96]~P1(x963)+~P4(f9(x961,x963),f9(x962,x963),x963)+P4(x961,x962,a1)
% 0.20/0.66 [85]E(x851,x852)+P4(x852,x851,a1)+E(f6(f2(x851),x853,x852),f2(x851))
% 0.20/0.66 [83]P4(x831,x832,x833)+~P7(x833)+E(x831,x832)+P4(x832,x831,x833)
% 0.20/0.66 [84]P4(x841,x842,x843)+~P9(x843)+E(x841,x842)+P4(x842,x841,x843)
% 0.20/0.66 [97]~P6(x973)+~P4(x971,x974,x973)+P4(x971,x972,x973)+~P4(x974,x972,x973)
% 0.20/0.66 [98]~P8(x983)+~P4(x981,x984,x983)+P4(x981,x982,x983)+~P4(x984,x982,x983)
% 0.20/0.66 %EqnAxiom
% 0.20/0.66 [1]E(x11,x11)
% 0.20/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.66 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.20/0.66 [5]~E(x51,x52)+E(f6(x51,x53,x54),f6(x52,x53,x54))
% 0.20/0.66 [6]~E(x61,x62)+E(f6(x63,x61,x64),f6(x63,x62,x64))
% 0.20/0.66 [7]~E(x71,x72)+E(f6(x73,x74,x71),f6(x73,x74,x72))
% 0.20/0.66 [8]~E(x81,x82)+E(f9(x81,x83),f9(x82,x83))
% 0.20/0.66 [9]~E(x91,x92)+E(f9(x93,x91),f9(x93,x92))
% 0.20/0.66 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103))
% 0.20/0.66 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112))
% 0.20/0.66 [12]~E(x121,x122)+E(f5(x121),f5(x122))
% 0.20/0.66 [13]~E(x131,x132)+E(f8(x131,x133),f8(x132,x133))
% 0.20/0.66 [14]~E(x141,x142)+E(f8(x143,x141),f8(x143,x142))
% 0.20/0.66 [15]~E(x151,x152)+E(f4(x151),f4(x152))
% 0.20/0.66 [16]~E(x161,x162)+E(f3(x161,x163),f3(x162,x163))
% 0.20/0.66 [17]~E(x171,x172)+E(f3(x173,x171),f3(x173,x172))
% 0.20/0.66 [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 0.20/0.66 [19]~P10(x191)+P10(x192)+~E(x191,x192)
% 0.20/0.66 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 0.20/0.66 [21]~P6(x211)+P6(x212)+~E(x211,x212)
% 0.20/0.66 [22]~P7(x221)+P7(x222)+~E(x221,x222)
% 0.20/0.66 [23]~P8(x231)+P8(x232)+~E(x231,x232)
% 0.20/0.66 [24]~P3(x241)+P3(x242)+~E(x241,x242)
% 0.20/0.66 [25]P5(x252,x253)+~E(x251,x252)+~P5(x251,x253)
% 0.20/0.66 [26]P5(x263,x262)+~E(x261,x262)+~P5(x263,x261)
% 0.20/0.66 [27]P4(x272,x273,x274)+~E(x271,x272)+~P4(x271,x273,x274)
% 0.20/0.66 [28]P4(x283,x282,x284)+~E(x281,x282)+~P4(x283,x281,x284)
% 0.20/0.66 [29]P4(x293,x294,x292)+~E(x291,x292)+~P4(x293,x294,x291)
% 0.20/0.66 [30]~P9(x301)+P9(x302)+~E(x301,x302)
% 0.20/0.66
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 cnf(100,plain,
% 0.20/0.66 ($false),
% 0.20/0.66 inference(scs_inference,[],[37,44,59]),
% 0.20/0.66 ['proof']).
% 0.20/0.66 % SZS output end Proof
% 0.20/0.66 % Total time :0.000000s
%------------------------------------------------------------------------------