TSTP Solution File: LCL828-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL828-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n023.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 : Wed May 29 17:26:36 EDT 2024
% Result : Unsatisfiable 0.42s 0.59s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16 % Problem : LCL828-1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.18 % Command : do_cvc5 %s %d
% 0.19/0.39 % Computer : n023.cluster.edu
% 0.19/0.39 % Model : x86_64 x86_64
% 0.19/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.39 % Memory : 8042.1875MB
% 0.19/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.39 % CPULimit : 300
% 0.19/0.39 % WCLimit : 300
% 0.19/0.39 % DateTime : Mon May 27 21:19:39 EDT 2024
% 0.19/0.39 % CPUTime :
% 0.26/0.55 %----Proving TF0_NAR, FOF, or CNF
% 0.26/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.42/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.fURhdp5lzM/cvc5---1.0.5_5304.smt2
% 0.42/0.59 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.fURhdp5lzM/cvc5---1.0.5_5304.smt2
% 0.42/0.60 (assume a0 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 0.42/0.60 (assume a1 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.42/0.60 (assume a2 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Nat_Osemiring__char__0 T_a)) (not (= (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a))) (= V_m V_n))))
% 0.42/0.60 (assume a3 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 0.42/0.60 (assume a4 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 0.42/0.60 (assume a5 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 0.42/0.60 (assume a6 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 0.42/0.60 (assume a7 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 0.42/0.60 (assume a8 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 0.42/0.60 (assume a9 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))
% 0.42/0.60 (assume a10 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 0.42/0.60 (assume a11 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 0.42/0.60 (assume a12 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 0.42/0.60 (assume a13 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))
% 0.42/0.60 (assume a14 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 0.42/0.60 (assume a15 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 0.42/0.60 (assume a16 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (= V_x V_y))))
% 0.42/0.60 (assume a17 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n))))
% 0.42/0.60 (assume a18 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 0.42/0.60 (assume a19 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 0.42/0.60 (assume a20 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 0.42/0.60 (assume a21 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 0.42/0.60 (assume a22 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 0.42/0.60 (assume a23 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n V_n tptp.tc_nat))))
% 0.42/0.60 (assume a24 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat))))
% 0.42/0.60 (assume a25 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 0.42/0.60 (assume a26 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 0.42/0.60 (assume a27 (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 0.42/0.60 (assume a28 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 0.42/0.60 (assume a29 (forall ((V_dB1_H $$unsorted) (V_dB2_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Lambda_OdB_OApp V_dB1_H V_dB2_H) (tptp.c_Lambda_OdB_OVar V_nat)))))
% 0.42/0.60 (assume a30 (forall ((V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OAbs V_s) (tptp.c_Lambda_OdB_OAbs V_t)) (not (tptp.c_Lambda_Obeta V_s V_t)))))
% 0.42/0.60 (assume a31 (forall ((V_s $$unsorted) (V_r $$unsorted)) (or (= V_s (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 V_r V_s))) (not (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OAbs V_r) V_s)))))
% 0.42/0.60 (assume a32 (forall ((V_t $$unsorted) (V_i $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OApp V_t (tptp.c_Lambda_OdB_OVar V_i))) (not (tptp.c_InductTermi_OIT V_t)))))
% 0.42/0.60 (assume a33 (forall ((V_r $$unsorted) (V_i $$unsorted) (V_s $$unsorted)) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift V_r V_i) (tptp.c_Lambda_Olift V_s V_i)) (not (tptp.c_Lambda_Obeta V_r V_s)))))
% 0.42/0.60 (assume a34 (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat)))))
% 0.42/0.60 (assume a35 (forall ((V_s $$unsorted) (V_u $$unsorted) (V_t $$unsorted)) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp V_s V_u) (tptp.c_Lambda_OdB_OApp V_t V_u)) (not (tptp.c_Lambda_Obeta V_s V_t)))))
% 0.42/0.60 (assume a36 (forall ((V_u $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp V_u V_s) (tptp.c_Lambda_OdB_OApp V_u V_t)) (not (tptp.c_Lambda_Obeta V_s V_t)))))
% 0.42/0.60 (assume a37 (forall ((V_x $$unsorted) (V_s $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_x) V_s V_x) V_s))))
% 0.42/0.60 (assume a38 (forall ((V_i $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_i) V_s V_k) (tptp.c_Lambda_OdB_OVar V_i)) (= V_i V_k) (tptp.c_HOL_Oord__class_Oless V_k V_i tptp.tc_nat))))
% 0.42/0.60 (assume a39 (forall ((V_s $$unsorted) (V_t $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OApp V_s V_t) V_k) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift V_s V_k) (tptp.c_Lambda_Olift V_t V_k)))))
% 0.42/0.60 (assume a40 (forall ((V_nat $$unsorted) (V_dB_H $$unsorted)) (not (= (tptp.c_Lambda_OdB_OVar V_nat) (tptp.c_Lambda_OdB_OAbs V_dB_H)))))
% 0.42/0.60 (assume a41 (forall ((V_dB $$unsorted) (V_dB_H $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OAbs V_dB) (tptp.c_Lambda_OdB_OAbs V_dB_H))) (= V_dB V_dB_H))))
% 0.42/0.60 (assume a42 (forall ((V_nat $$unsorted) (V_dB1_H $$unsorted) (V_dB2_H $$unsorted)) (not (= (tptp.c_Lambda_OdB_OVar V_nat) (tptp.c_Lambda_OdB_OApp V_dB1_H V_dB2_H)))))
% 0.42/0.60 (assume a43 (forall ((V_s $$unsorted) (V_t $$unsorted)) (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_s) V_t) (tptp.c_Lambda_Osubst V_s V_t (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 0.42/0.60 (assume a44 (forall ((V_dB1 $$unsorted) (V_dB2 $$unsorted) (V_dB1_H $$unsorted) (V_dB2_H $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OApp V_dB1 V_dB2) (tptp.c_Lambda_OdB_OApp V_dB1_H V_dB2_H))) (= V_dB2 V_dB2_H))))
% 0.42/0.60 (assume a45 (forall ((V_dB1 $$unsorted) (V_dB2 $$unsorted) (V_dB1_H $$unsorted) (V_dB2_H $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OApp V_dB1 V_dB2) (tptp.c_Lambda_OdB_OApp V_dB1_H V_dB2_H))) (= V_dB1 V_dB1_H))))
% 0.42/0.60 (assume a46 (forall ((V_i $$unsorted) (V_t $$unsorted)) (not (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OVar V_i) V_t))))
% 0.42/0.60 (assume a47 (forall ((V_r $$unsorted) (V_s $$unsorted)) (or (tptp.c_Lambda_Obeta V_r (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 V_r V_s)) (not (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OAbs V_r) V_s)))))
% 0.42/0.60 (assume a48 (forall ((V_j $$unsorted) (V_u $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_j) V_u V_i) (tptp.c_Lambda_OdB_OVar V_j)) (not (tptp.c_HOL_Oord__class_Oless V_j V_i tptp.tc_nat)))))
% 0.42/0.60 (assume a49 (forall ((V_dB_H $$unsorted) (V_dB1 $$unsorted) (V_dB2 $$unsorted)) (not (= (tptp.c_Lambda_OdB_OAbs V_dB_H) (tptp.c_Lambda_OdB_OApp V_dB1 V_dB2)))))
% 0.42/0.60 (assume a50 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OVar V_nat) (tptp.c_Lambda_OdB_OVar V_nat_H))) (= V_nat V_nat_H))))
% 0.42/0.60 (assume a51 (forall ((V_dB1 $$unsorted) (V_dB2 $$unsorted) (V_dB_H $$unsorted)) (not (= (tptp.c_Lambda_OdB_OApp V_dB1 V_dB2) (tptp.c_Lambda_OdB_OAbs V_dB_H)))))
% 0.42/0.60 (assume a52 (forall ((V_dB_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Lambda_OdB_OAbs V_dB_H) (tptp.c_Lambda_OdB_OVar V_nat)))))
% 0.42/0.60 (assume a53 (forall ((V_t $$unsorted) (V_u $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OApp V_t V_u) V_s V_k) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst V_t V_s V_k) (tptp.c_Lambda_Osubst V_u V_s V_k)))))
% 0.42/0.60 (assume a54 (forall ((V_k $$unsorted) (V_u $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_k) V_u V_k) V_u)))
% 0.42/0.60 (assume a55 (forall ((V_r $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst V_r (tptp.c_Lambda_OdB_OVar V_i) V_j)) (not (tptp.c_InductTermi_OIT V_r)))))
% 0.42/0.60 (assume a56 (forall ((V_t $$unsorted) (V_i $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Olift V_t V_i)) (not (tptp.c_InductTermi_OIT V_t)))))
% 0.42/0.60 (assume a57 (forall ((V_n $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OVar V_n))))
% 0.42/0.60 (assume a58 (not (= tptp.v_n____ tptp.v_i____)))
% 0.42/0.60 (assume a59 (forall ((V_r $$unsorted) (V_t $$unsorted) (V_i $$unsorted) (V_s $$unsorted)) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst V_r V_t V_i) (tptp.c_Lambda_Osubst V_s V_t V_i)) (not (tptp.c_Lambda_Obeta V_r V_s)))))
% 0.42/0.60 (assume a60 (tptp.c_InductTermi_OIT tptp.v_ua______))
% 0.42/0.60 (assume a61 (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r)))))
% 0.42/0.60 (assume a62 (tptp.c_InductTermi_OIT tptp.v_u____))
% 0.42/0.60 (assume a63 (forall ((V_t $$unsorted) (V_k $$unsorted) (V_s $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift V_t V_k) V_s V_k) V_t)))
% 0.42/0.60 (assume a64 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____))
% 0.42/0.60 (assume a65 (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H)))))
% 0.42/0.60 (assume a66 (tptp.c_InductTermi_OIT tptp.v_u____))
% 0.42/0.60 (assume a67 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____))
% 0.42/0.60 (assume a68 (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____))))
% 0.42/0.60 (assume a69 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat))
% 0.42/0.60 (assume a70 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat))
% 0.42/0.60 (assume a71 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat))
% 0.42/0.60 (assume a72 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 0.42/0.60 (assume a73 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 0.42/0.60 (assume a74 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 0.42/0.60 (step t1 (cl (=> (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)))) (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H))))) :rule implies_neg1)
% 0.42/0.60 (anchor :step t2)
% 0.42/0.60 (assume t2.a0 (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H)))))
% 0.42/0.60 (step t2.t1 (cl (or (not (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____))))) :rule forall_inst :args ((:= V_ua tptp.v_u____) (:= V_ia tptp.v_i____) (:= V_ea tptp.v_e____) (:= V_T_H tptp.v_Ua____)))
% 0.42/0.60 (step t2.t2 (cl (not (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)))) :rule or :premises (t2.t1))
% 0.42/0.60 (step t2.t3 (cl (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)))) :rule resolution :premises (t2.t2 t2.a0))
% 0.42/0.60 (step t2 (cl (not (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)))) :rule subproof :discharge (t2.a0))
% 0.42/0.60 (step t3 (cl (=> (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)))) :rule resolution :premises (t1 t2))
% 0.42/0.60 (step t4 (cl (=> (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)))) (not (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____))))) :rule implies_neg2)
% 0.42/0.60 (step t5 (cl (=> (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)))) (=> (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____))))) :rule resolution :premises (t3 t4))
% 0.42/0.60 (step t6 (cl (=> (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____))))) :rule contraction :premises (t5))
% 0.42/0.60 (step t7 (cl (not (forall ((V_ua $$unsorted) (V_ia $$unsorted) (V_ea $$unsorted) (V_T_H $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ V_ua V_ia)) (not (tptp.c_Type_Otyping V_ea V_ua tptp.v_T____)) (not (tptp.c_InductTermi_OIT V_ua)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_ea V_ia tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ V_T_H))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)))) :rule implies :premises (t6))
% 0.42/0.60 (step t8 (cl (not (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____))) :rule or_pos)
% 0.42/0.60 (step t9 (cl (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____))))) :rule reordering :premises (t8))
% 0.42/0.60 (step t10 (cl (not (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_InductTermi_OIT tptp.v_u____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_Ua____))))) :rule resolution :premises (t9 a68 a66 a64 a67))
% 0.42/0.60 (step t11 (cl) :rule resolution :premises (t7 t10 a65))
% 0.42/0.60
% 0.42/0.60 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.fURhdp5lzM/cvc5---1.0.5_5304.smt2
% 0.42/0.60 % cvc5---1.0.5 exiting
% 0.42/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------