%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 10:48:30 EDT 2023

% Result   : Theorem 0.81s 0.99s
% Output   : Proof 0.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri Aug 25 16:02:00 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.81/0.99  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6x28sLv5JD/cvc5---1.0.5_19491.p...
% 0.81/0.99  ------- get file name : TPTP file name is NUM856+1
% 0.81/0.99  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19491.smt2...
% 0.81/0.99  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.81/0.99  % SZS status Theorem for NUM856+1
% 0.81/0.99  % SZS output start Proof for NUM856+1
% 0.81/0.99  (
% 0.81/0.99  (let ((_let_1 (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (tptp.greater Vd194 Vd193) (exists ((Vd196 $$unsorted)) (= Vd194 (tptp.vplus Vd193 Vd196))))))) (let ((_let_2 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (=> (tptp.greater Vd208 Vd209) (tptp.less Vd209 Vd208))))) (let ((_let_3 (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (=> (tptp.less Vd226 Vd227) (tptp.greater Vd227 Vd226))))) (let ((_let_4 (forall ((Vd244 $$unsorted) (Vd245 $$unsorted)) (= (tptp.geq Vd245 Vd244) (or (tptp.greater Vd245 Vd244) (= Vd245 Vd244)))))) (let ((_let_5 (forall ((Vd418 $$unsorted) (Vd419 $$unsorted)) (= (tptp.vmul Vd418 Vd419) (tptp.vmul Vd419 Vd418))))) (let ((_let_6 (forall ((Vd432 $$unsorted) (Vd433 $$unsorted) (Vd434 $$unsorted)) (= (tptp.vmul Vd432 (tptp.vplus Vd433 Vd434)) (tptp.vplus (tptp.vmul Vd432 Vd433) (tptp.vmul Vd432 Vd434)))))) (let ((_let_7 (forall ((Vd456 $$unsorted) (Vd465 $$unsorted) (Vd466 $$unsorted)) (=> (tptp.less Vd465 Vd466) (tptp.less (tptp.vmul Vd465 Vd456) (tptp.vmul Vd466 Vd456)))))) (let ((_let_8 (forall ((Vd501 $$unsorted) (Vd502 $$unsorted) (Vd504 $$unsorted) (Vd505 $$unsorted)) (=> (and (tptp.greater Vd504 Vd505) (tptp.greater Vd501 Vd502)) (tptp.greater (tptp.vmul Vd501 Vd504) (tptp.vmul Vd502 Vd505)))))) (let ((_let_9 (tptp.greater tptp.vd517 tptp.vd518))) (let ((_let_10 (tptp.geq tptp.vd519 tptp.vd520))) (let ((_let_11 (and _let_10 _let_9))) (let ((_let_12 (tptp.geq tptp.vd517 tptp.vd518))) (let ((_let_13 (tptp.greater tptp.vd519 tptp.vd520))) (let ((_let_14 (and _let_13 _let_12))) (let ((_let_15 (or _let_14 _let_11))) (let ((_let_16 (tptp.vmul tptp.vd518 tptp.vd520))) (let ((_let_17 (tptp.vmul tptp.vd517 tptp.vd519))) (let ((_let_18 (tptp.greater _let_17 _let_16))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.less tptp.vd518 tptp.vd517))) (let ((_let_21 (not _let_9))) (let ((_let_22 (or _let_21 _let_20))) (let ((_let_23 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (or (not (tptp.greater Vd208 Vd209)) (tptp.less Vd209 Vd208))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (not _let_14))) (let ((_let_26 (forall ((Vd196 $$unsorted)) (not (= tptp.vd519 (tptp.vplus tptp.vd520 Vd196)))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (= _let_13 _let_27))) (let ((_let_29 (not _let_13))) (let ((_let_30 (or _let_29 _let_21 _let_18))) (let ((_let_31 (tptp.vplus tptp.vd520 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_32 (= tptp.vd519 _let_31))) (let ((_let_33 (= tptp.vd517 tptp.vd518))) (let ((_let_34 (or _let_9 _let_33))) (let ((_let_35 (= _let_12 _let_34))) (let ((_let_36 (= _let_17 (tptp.vmul tptp.vd519 tptp.vd517)))) (let ((_let_37 (tptp.vmul tptp.vd518 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_38 (tptp.vplus _let_16 _let_37))) (let ((_let_39 (= (tptp.vmul tptp.vd518 _let_31) _let_38))) (let ((_let_40 (= (tptp.vmul tptp.vd518 tptp.vd519) (tptp.vmul tptp.vd519 tptp.vd518)))) (let ((_let_41 (= _let_17 _let_38))) (let ((_let_42 (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (tptp.greater Vd194 Vd193) (not (forall ((Vd196 $$unsorted)) (not (= Vd194 (tptp.vplus Vd193 Vd196))))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 ((tptp.greater Vd194 Vd193)))) (let ((_let_46 (ASSUME :args (_let_19)))) (let ((_let_47 (forall ((Vd501 $$unsorted) (Vd502 $$unsorted) (Vd504 $$unsorted) (Vd505 $$unsorted)) (or (not (tptp.greater Vd504 Vd505)) (not (tptp.greater Vd501 Vd502)) (tptp.greater (tptp.vmul Vd501 Vd504) (tptp.vmul Vd502 Vd505)))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (or))) (let ((_let_50 (_let_32))) (let ((_let_51 (_let_27))) (let ((_let_52 (not _let_11))) (let ((_let_53 (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_9 _let_52))))) (let ((_let_54 (ASSUME :args (_let_15)))) (let ((_let_55 (forall ((Vd244 $$unsorted) (Vd245 $$unsorted)) (= (tptp.geq Vd245 Vd244) (or (tptp.greater Vd245 Vd244) (= Vd244 Vd245)))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 ((tptp.geq Vd245 Vd244)))) (let ((_let_59 (_let_5))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 ((tptp.vmul Vd418 Vd419)))) (let ((_let_62 (_let_6))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (forall ((Vd196 $$unsorted)) (not (= (tptp.vmul tptp.vd517 tptp.vd519) (tptp.vplus (tptp.vmul tptp.vd518 tptp.vd520) Vd196)))))) (let ((_let_65 (not _let_64))) (let ((_let_66 (= _let_18 _let_65))) (let ((_let_67 (not _let_66))) (let ((_let_68 (_let_64))) (let ((_let_69 (and _let_36 _let_33 _let_32 _let_39 _let_40))) (let ((_let_70 (ASSUME :args (_let_39)))) (let ((_let_71 (APPLY_UF tptp.vmul))) (let ((_let_72 (ASSUME :args _let_50))) (let ((_let_73 (ASSUME :args (_let_40)))) (let ((_let_74 (ASSUME :args (_let_33)))) (let ((_let_75 (ASSUME :args (_let_36)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_69)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_70 _let_72 _let_73 _let_74 _let_75) (SCOPE (TRANS (SYMM (SYMM _let_75)) (CONG (REFL :args (tptp.vd519)) (SYMM (SYMM _let_74)) :args _let_71) (SYMM _let_73) (CONG (REFL :args (tptp.vd518)) (SYMM (SYMM _let_72)) :args _let_71) (SYMM (SYMM _let_70))) :args (_let_39 _let_32 _let_40 _let_33 _let_36))) :args (_let_36 _let_33 _let_32 _let_39 _let_40))) :args (true _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_68) :args (_let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vplus _let_16 Vd196)))) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_66)) (CONG (REFL :args (_let_67)) (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_49)) :args ((or _let_18 _let_64 _let_67))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_16 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44)) _let_43 :args (_let_66 false _let_42)) :args (_let_64 true _let_18 false _let_66)) :args ((not _let_41) false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.vd519 tptp.vd518 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59))) _let_60 :args (_let_40 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.vd518 tptp.vd520 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING ((tptp.vmul Vd432 (tptp.vplus Vd433 Vd434))))) :args _let_62)) _let_63 :args (_let_39 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.vd517 tptp.vd519 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_36 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_9 _let_33 (not _let_34)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_35)) :args ((or (not _let_12) _let_34 (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.vd518 tptp.vd517 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_57))) _let_56 :args (_let_35 false _let_55)) (REORDERING (CNF_AND_POS :args (_let_14 1)) :args ((or _let_12 _let_25))) _let_54 _let_53 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51) (REWRITE :args ((=> _let_27 (not (not _let_32))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) (REFL :args _let_50) :args _let_49)) (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_18 _let_29 _let_21 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.vd517 tptp.vd518 tptp.vd519 tptp.vd520 QUANTIFIERS_INST_E_MATCHING ((tptp.vmul Vd501 Vd504) (tptp.vmul Vd502 Vd505)))) :args (_let_47))) _let_48 :args (_let_30 false _let_47)) _let_46 (REORDERING (CNF_EQUIV_POS1 :args (_let_28)) :args ((or _let_29 _let_27 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.vd520 tptp.vd519 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44)) _let_43 :args (_let_28 false _let_42)) :args (_let_29 true _let_41 false _let_40 false _let_39 false _let_36 false _let_33 false _let_34 false _let_35 false _let_12 false _let_14 true _let_11 false _let_32 true _let_9 false _let_30 true _let_18 true _let_26 false _let_28)))) (let ((_let_77 (REORDERING (CNF_AND_POS :args (_let_14 0)) :args ((or _let_13 _let_25))))) (let ((_let_78 (tptp.less _let_16 (tptp.vmul tptp.vd517 tptp.vd520)))) (let ((_let_79 (not _let_20))) (let ((_let_80 (or _let_79 _let_78))) (let ((_let_81 (forall ((Vd456 $$unsorted) (Vd465 $$unsorted) (Vd466 $$unsorted)) (or (not (tptp.less Vd465 Vd466)) (tptp.less (tptp.vmul Vd465 Vd456) (tptp.vmul Vd466 Vd456)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (= tptp.vd519 tptp.vd520))) (let ((_let_84 (tptp.less _let_16 _let_17))) (let ((_let_85 (not _let_78))) (let ((_let_86 (or _let_13 _let_83))) (let ((_let_87 (= _let_10 _let_86))) (let ((_let_88 (not _let_84))) (let ((_let_89 (or _let_88 _let_18))) (let ((_let_90 (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (or (not (tptp.less Vd226 Vd227)) (tptp.greater Vd227 Vd226))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (not _let_83))) (let ((_let_93 (ASSUME :args (_let_88)))) (let ((_let_94 (ASSUME :args (_let_83)))) (let ((_let_95 (ASSUME :args (_let_78)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_20 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_78 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_93 _let_94 _let_95) :args (_let_83 _let_88 _let_78)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_95)) (CONG (REFL :args (_let_16)) (CONG (REFL :args (tptp.vd517)) (SYMM _let_94) :args _let_71) :args (APPLY_UF tptp.less)) (FALSE_INTRO _let_93))) :args (_let_88 _let_83 _let_78)) :args ((not (and _let_83 _let_88 _let_78)) SB_LITERAL))) (CONG (REFL :args (_let_92)) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_84))) (REFL :args (_let_85)) :args _let_49)) :args ((or _let_84 _let_92 _let_85))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_18 _let_88 (not _let_89)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_16 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd227 Vd226) true))))) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_88 true _let_18 false _let_89)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_10 _let_52))) (REORDERING (CNF_EQUIV_POS1 :args (_let_87)) :args ((or (not _let_10) _let_86 (not _let_87)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.vd520 tptp.vd519 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_57))) _let_56 :args (_let_87 false _let_55)) _let_54 (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_13 _let_83 (not _let_86)))) _let_77 :args (_let_86 true _let_10 false _let_87 false _let_11 true _let_86 true _let_14)) _let_76 :args (_let_83 true _let_13)) :args (_let_85 true _let_84 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.vd520 tptp.vd518 tptp.vd517 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less (tptp.vmul Vd465 Vd456) (tptp.vmul Vd466 Vd456)) true))))) :args (_let_81))) _let_82 :args (_let_80 false _let_81)) :args (_let_79 true _let_78 false _let_80)) (MACRO_RESOLUTION_TRUST _let_53 (MACRO_RESOLUTION_TRUST _let_54 (MACRO_RESOLUTION_TRUST _let_77 _let_76 :args (_let_25 true _let_13)) :args (_let_11 true _let_14)) :args (_let_9 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.vd517 tptp.vd518 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd208 Vd209) false))))) :args (_let_23))) _let_24 :args (_let_22 false _let_23)) :args (false true _let_20 false _let_9 false _let_22)) :args (_let_19 _let_15 _let_8 (forall ((Vd496 $$unsorted) (Vd497 $$unsorted) (Vd498 $$unsorted)) (=> (tptp.less (tptp.vmul Vd496 Vd497) (tptp.vmul Vd498 Vd497)) (tptp.less Vd496 Vd498))) (forall ((Vd491 $$unsorted) (Vd492 $$unsorted) (Vd493 $$unsorted)) (=> (= (tptp.vmul Vd491 Vd492) (tptp.vmul Vd493 Vd492)) (= Vd491 Vd493))) (forall ((Vd486 $$unsorted) (Vd487 $$unsorted) (Vd488 $$unsorted)) (=> (tptp.greater (tptp.vmul Vd486 Vd487) (tptp.vmul Vd488 Vd487)) (tptp.greater Vd486 Vd488))) _let_7 (forall ((Vd456 $$unsorted) (Vd461 $$unsorted) (Vd462 $$unsorted)) (=> (= Vd461 Vd462) (= (tptp.vmul Vd461 Vd456) (tptp.vmul Vd462 Vd456)))) (forall ((Vd456 $$unsorted) (Vd457 $$unsorted) (Vd458 $$unsorted)) (=> (tptp.greater Vd457 Vd458) (tptp.greater (tptp.vmul Vd457 Vd456) (tptp.vmul Vd458 Vd456)))) (forall ((Vd444 $$unsorted) (Vd445 $$unsorted) (Vd446 $$unsorted)) (= (tptp.vmul (tptp.vmul Vd444 Vd445) Vd446) (tptp.vmul Vd444 (tptp.vmul Vd445 Vd446)))) _let_6 _let_5 (forall ((Vd408 $$unsorted) (Vd409 $$unsorted)) (= (tptp.vmul (tptp.vsucc Vd408) Vd409) (tptp.vplus (tptp.vmul Vd408 Vd409) Vd409))) (forall ((Vd400 $$unsorted)) (= (tptp.vmul tptp.v1 Vd400) Vd400)) (forall ((Vd396 $$unsorted) (Vd397 $$unsorted)) (and (= (tptp.vmul Vd396 (tptp.vsucc Vd397)) (tptp.vplus (tptp.vmul Vd396 Vd397) Vd396)) (= (tptp.vmul Vd396 tptp.v1) Vd396))) (forall ((Vd386 $$unsorted) (Vd387 $$unsorted)) (=> (tptp.less Vd386 (tptp.vplus Vd387 tptp.v1)) (tptp.leq Vd386 Vd387))) (forall ((Vd375 $$unsorted) (Vd376 $$unsorted)) (=> (tptp.greater Vd375 Vd376) (tptp.geq Vd375 (tptp.vplus Vd376 tptp.v1)))) (forall ((Vd369 $$unsorted)) (tptp.geq Vd369 tptp.v1)) (forall ((Vd362 $$unsorted) (Vd363 $$unsorted) (Vd365 $$unsorted) (Vd366 $$unsorted)) (=> (and (tptp.geq Vd365 Vd366) (tptp.geq Vd362 Vd363)) (tptp.geq (tptp.vplus Vd362 Vd365) (tptp.vplus Vd363 Vd366)))) (forall ((Vd353 $$unsorted) (Vd354 $$unsorted) (Vd355 $$unsorted) (Vd356 $$unsorted)) (=> (or (and (tptp.greater Vd355 Vd356) (tptp.geq Vd353 Vd354)) (and (tptp.geq Vd355 Vd356) (tptp.greater Vd353 Vd354))) (tptp.greater (tptp.vplus Vd353 Vd355) (tptp.vplus Vd354 Vd356)))) (forall ((Vd337 $$unsorted) (Vd338 $$unsorted) (Vd340 $$unsorted) (Vd341 $$unsorted)) (=> (and (tptp.greater Vd340 Vd341) (tptp.greater Vd337 Vd338)) (tptp.greater (tptp.vplus Vd337 Vd340) (tptp.vplus Vd338 Vd341)))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (tptp.less (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330)) (tptp.less Vd328 Vd329))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (= (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330)) (= Vd328 Vd329))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (tptp.greater (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330)) (tptp.greater Vd328 Vd329))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (tptp.less Vd301 Vd302) (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (= Vd301 Vd302) (= (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (tptp.greater Vd301 Vd302) (tptp.greater (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))) (forall ((Vd295 $$unsorted) (Vd296 $$unsorted)) (tptp.greater (tptp.vplus Vd295 Vd296) Vd295)) (forall ((Vd289 $$unsorted) (Vd290 $$unsorted) (Vd292 $$unsorted)) (=> (and (tptp.leq Vd290 Vd292) (tptp.leq Vd289 Vd290)) (tptp.leq Vd289 Vd292))) (forall ((Vd281 $$unsorted) (Vd282 $$unsorted) (Vd283 $$unsorted)) (=> (or (and (tptp.less Vd282 Vd283) (tptp.leq Vd281 Vd282)) (and (tptp.leq Vd282 Vd283) (tptp.less Vd281 Vd282))) (tptp.less Vd281 Vd283))) (forall ((Vd262 $$unsorted) (Vd263 $$unsorted) (Vd265 $$unsorted)) (=> (and (tptp.less Vd263 Vd265) (tptp.less Vd262 Vd263)) (tptp.less Vd262 Vd265))) (forall ((Vd258 $$unsorted) (Vd259 $$unsorted)) (=> (tptp.leq Vd258 Vd259) (tptp.geq Vd259 Vd258))) (forall ((Vd254 $$unsorted) (Vd255 $$unsorted)) (=> (tptp.geq Vd254 Vd255) (tptp.leq Vd255 Vd254))) (forall ((Vd249 $$unsorted) (Vd250 $$unsorted)) (= (tptp.leq Vd250 Vd249) (or (tptp.less Vd250 Vd249) (= Vd250 Vd249)))) _let_4 _let_3 _let_2 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (= Vd203 Vd204) (tptp.greater Vd203 Vd204) (tptp.less Vd203 Vd204))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (= Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (tptp.greater Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (= Vd203 Vd204)) (not (tptp.greater Vd203 Vd204)))) (forall ((Vd198 $$unsorted) (Vd199 $$unsorted)) (= (tptp.less Vd199 Vd198) (exists ((Vd201 $$unsorted)) (= Vd198 (tptp.vplus Vd199 Vd201))))) _let_1 (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (= Vd120 Vd121) (exists ((Vd123 $$unsorted)) (= Vd120 (tptp.vplus Vd121 Vd123))) (exists ((Vd125 $$unsorted)) (= Vd121 (tptp.vplus Vd120 Vd125))))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (= Vd120 Vd121)) (not (exists ((Vd125 $$unsorted)) (= Vd121 (tptp.vplus Vd120 Vd125)))))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (exists ((Vd123 $$unsorted)) (= Vd120 (tptp.vplus Vd121 Vd123)))) (not (exists ((Vd125 $$unsorted)) (= Vd121 (tptp.vplus Vd120 Vd125)))))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (= Vd120 Vd121)) (not (exists ((Vd123 $$unsorted)) (= Vd120 (tptp.vplus Vd121 Vd123)))))) (forall ((Vd104 $$unsorted) (Vd105 $$unsorted)) (=> (not (= Vd104 Vd105)) (forall ((Vd107 $$unsorted)) (not (= (tptp.vplus Vd107 Vd104) (tptp.vplus Vd107 Vd105)))))) (forall ((Vd92 $$unsorted) (Vd93 $$unsorted)) (not (= Vd93 (tptp.vplus Vd92 Vd93)))) (forall ((Vd78 $$unsorted) (Vd79 $$unsorted)) (= (tptp.vplus Vd79 Vd78) (tptp.vplus Vd78 Vd79))) (forall ((Vd68 $$unsorted) (Vd69 $$unsorted)) (= (tptp.vplus (tptp.vsucc Vd68) Vd69) (tptp.vsucc (tptp.vplus Vd68 Vd69)))) (forall ((Vd59 $$unsorted)) (= (tptp.vplus tptp.v1 Vd59) (tptp.vsucc Vd59))) (forall ((Vd46 $$unsorted) (Vd47 $$unsorted) (Vd48 $$unsorted)) (= (tptp.vplus (tptp.vplus Vd46 Vd47) Vd48) (tptp.vplus Vd46 (tptp.vplus Vd47 Vd48)))) (forall ((Vd42 $$unsorted) (Vd43 $$unsorted)) (and (= (tptp.vplus Vd42 (tptp.vsucc Vd43)) (tptp.vsucc (tptp.vplus Vd42 Vd43))) (= (tptp.vplus Vd42 tptp.v1) (tptp.vsucc Vd42)))) (forall ((Vd24 $$unsorted)) (=> (not (= Vd24 tptp.v1)) (= Vd24 (tptp.vsucc (tptp.vskolem2 Vd24))))) (forall ((Vd16 $$unsorted)) (not (= (tptp.vsucc Vd16) Vd16))) (forall ((Vd7 $$unsorted) (Vd8 $$unsorted)) (=> (not (= Vd7 Vd8)) (not (= (tptp.vsucc Vd7) (tptp.vsucc Vd8))))) (forall ((Vd3 $$unsorted) (Vd4 $$unsorted)) (=> (= (tptp.vsucc Vd3) (tptp.vsucc Vd4)) (= Vd3 Vd4))) (forall ((Vd1 $$unsorted)) (not (= (tptp.vsucc Vd1) tptp.v1))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.81/1.00  )
% 0.81/1.00  % SZS output end Proof for NUM856+1
% 0.81/1.00  % cvc5---1.0.5 exiting
% 0.81/1.00  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------