%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM845+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 10:48:25 EDT 2023

% Result   : Theorem 0.20s 0.57s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM845+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Aug 25 08:44:36 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.57  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.47UFPnb3h6/cvc5---1.0.5_24267.p...
% 0.20/0.57  ------- get file name : TPTP file name is NUM845+1
% 0.20/0.57  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24267.smt2...
% 0.20/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57  % SZS status Theorem for NUM845+1
% 0.20/0.57  % SZS output start Proof for NUM845+1
% 0.20/0.57  (
% 0.20/0.57  (let ((_let_1 (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))))) (let ((_let_2 (tptp.vsucc tptp.vd411))) (let ((_let_3 (tptp.vmul tptp.vd411 tptp.v1))) (let ((_let_4 (tptp.vsucc _let_3))) (let ((_let_5 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vsucc tptp.vd411))) (let ((_let_2 (tptp.vmul tptp.vd411 Vd413))) (let ((_let_3 (tptp.vplus _let_2 Vd413))) (=> (= (tptp.vmul _let_1 Vd413) _let_3) (= (tptp.vplus _let_3 _let_1) (tptp.vplus _let_2 (tptp.vplus Vd413 _let_1)))))))))) (let ((_let_6 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vsucc tptp.vd411))) (let ((_let_2 (tptp.vmul tptp.vd411 Vd413))) (=> (= (tptp.vmul _let_1 Vd413) (tptp.vplus _let_2 Vd413)) (= (tptp.vplus _let_2 (tptp.vplus Vd413 _let_1)) (tptp.vplus _let_2 (tptp.vplus _let_1 Vd413))))))))) (let ((_let_7 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vmul tptp.vd411 Vd413))) (let ((_let_2 (tptp.vsucc tptp.vd411))) (=> (= (tptp.vmul _let_2 Vd413) (tptp.vplus _let_1 Vd413)) (= (tptp.vplus _let_1 (tptp.vplus _let_2 Vd413)) (tptp.vplus _let_1 (tptp.vsucc (tptp.vplus tptp.vd411 Vd413)))))))))) (let ((_let_8 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vmul tptp.vd411 Vd413))) (=> (= (tptp.vmul (tptp.vsucc tptp.vd411) Vd413) (tptp.vplus _let_1 Vd413)) (= (tptp.vplus _let_1 (tptp.vsucc (tptp.vplus tptp.vd411 Vd413))) (tptp.vplus _let_1 (tptp.vplus tptp.vd411 (tptp.vsucc Vd413))))))))) (let ((_let_9 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vsucc Vd413))) (let ((_let_2 (tptp.vmul tptp.vd411 Vd413))) (=> (= (tptp.vmul (tptp.vsucc tptp.vd411) Vd413) (tptp.vplus _let_2 Vd413)) (= (tptp.vplus _let_2 (tptp.vplus tptp.vd411 _let_1)) (tptp.vplus (tptp.vplus _let_2 tptp.vd411) _let_1)))))))) (let ((_let_10 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vsucc Vd413))) (let ((_let_2 (tptp.vmul tptp.vd411 Vd413))) (=> (= (tptp.vmul (tptp.vsucc tptp.vd411) Vd413) (tptp.vplus _let_2 Vd413)) (= (tptp.vplus (tptp.vplus _let_2 tptp.vd411) _let_1) (tptp.vplus (tptp.vmul tptp.vd411 _let_1) _let_1)))))))) (let ((_let_11 (not (forall ((Vd416 $$unsorted)) (let ((_let_1 (tptp.vsucc Vd416))) (let ((_let_2 (tptp.vsucc tptp.vd411))) (=> (= (tptp.vmul _let_2 Vd416) (tptp.vplus (tptp.vmul tptp.vd411 Vd416) Vd416)) (= (tptp.vmul _let_2 _let_1) (tptp.vplus (tptp.vmul tptp.vd411 _let_1) _let_1))))))))) (let ((_let_12 (tptp.vmul tptp.vd411 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.vplus _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.vmul _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (tptp.vsucc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.vplus (tptp.vmul tptp.vd411 _let_16) _let_16))) (let ((_let_18 (tptp.vmul _let_2 _let_16))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (tptp.vplus _let_14 _let_2))) (let ((_let_21 (= _let_18 _let_20))) (let ((_let_22 (tptp.vplus (tptp.vplus _let_12 tptp.vd411) _let_16))) (let ((_let_23 (= _let_17 _let_22))) (let ((_let_24 (tptp.vplus _let_12 (tptp.vplus tptp.vd411 _let_16)))) (let ((_let_25 (= _let_22 _let_24))) (let ((_let_26 (tptp.vplus _let_12 (tptp.vsucc (tptp.vplus tptp.vd411 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_27 (= _let_24 _let_26))) (let ((_let_28 (tptp.vplus _let_12 (tptp.vplus _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_29 (= _let_26 _let_28))) (let ((_let_30 (tptp.vplus _let_12 (tptp.vplus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_2)))) (let ((_let_31 (= _let_28 _let_30))) (let ((_let_32 (tptp.vplus _let_13 _let_2))) (let ((_let_33 (= _let_30 _let_32))) (let ((_let_34 (not _let_15))) (let ((_let_35 (or _let_34 _let_19))) (let ((_let_36 (forall ((Vd416 $$unsorted)) (let ((_let_1 (tptp.vsucc Vd416))) (let ((_let_2 (tptp.vsucc tptp.vd411))) (or (not (= (tptp.vmul _let_2 Vd416) (tptp.vplus (tptp.vmul tptp.vd411 Vd416) Vd416))) (= (tptp.vmul _let_2 _let_1) (tptp.vplus (tptp.vmul tptp.vd411 _let_1) _let_1)))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_38) :args (_let_40))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) _let_38 :args (_let_37 true _let_36)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG (REFL :args (_let_35)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_15))) :args _let_39)) :args ((or _let_15 _let_35))) _let_41 :args (_let_15 true _let_35)))) (let ((_let_43 (not _let_19))) (let ((_let_44 (forall ((BOUND_VARIABLE_1213 $$unsorted) (BOUND_VARIABLE_1215 $$unsorted)) (= (tptp.vmul BOUND_VARIABLE_1213 (tptp.vsucc BOUND_VARIABLE_1215)) (tptp.vplus (tptp.vmul BOUND_VARIABLE_1213 BOUND_VARIABLE_1215) BOUND_VARIABLE_1213))))) (let ((_let_45 (_let_44))) (let ((_let_46 (or _let_34 _let_23))) (let ((_let_47 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vsucc Vd413))) (let ((_let_2 (tptp.vmul tptp.vd411 Vd413))) (or (not (= (tptp.vmul (tptp.vsucc tptp.vd411) Vd413) (tptp.vplus _let_2 Vd413))) (= (tptp.vplus (tptp.vplus _let_2 tptp.vd411) _let_1) (tptp.vplus (tptp.vmul tptp.vd411 _let_1) _let_1)))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (or _let_34 _let_25))) (let ((_let_50 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vsucc Vd413))) (let ((_let_2 (tptp.vmul tptp.vd411 Vd413))) (or (not (= (tptp.vmul (tptp.vsucc tptp.vd411) Vd413) (tptp.vplus _let_2 Vd413))) (= (tptp.vplus _let_2 (tptp.vplus tptp.vd411 _let_1)) (tptp.vplus (tptp.vplus _let_2 tptp.vd411) _let_1)))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (or _let_34 _let_27))) (let ((_let_53 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vmul tptp.vd411 Vd413))) (or (not (= (tptp.vmul (tptp.vsucc tptp.vd411) Vd413) (tptp.vplus _let_1 Vd413))) (= (tptp.vplus _let_1 (tptp.vsucc (tptp.vplus tptp.vd411 Vd413))) (tptp.vplus _let_1 (tptp.vplus tptp.vd411 (tptp.vsucc Vd413))))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (or _let_34 _let_29))) (let ((_let_56 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vmul tptp.vd411 Vd413))) (let ((_let_2 (tptp.vsucc tptp.vd411))) (or (not (= (tptp.vmul _let_2 Vd413) (tptp.vplus _let_1 Vd413))) (= (tptp.vplus _let_1 (tptp.vplus _let_2 Vd413)) (tptp.vplus _let_1 (tptp.vsucc (tptp.vplus tptp.vd411 Vd413)))))))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (or _let_34 _let_31))) (let ((_let_59 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vsucc tptp.vd411))) (let ((_let_2 (tptp.vmul tptp.vd411 Vd413))) (or (not (= (tptp.vmul _let_1 Vd413) (tptp.vplus _let_2 Vd413))) (= (tptp.vplus _let_2 (tptp.vplus Vd413 _let_1)) (tptp.vplus _let_2 (tptp.vplus _let_1 Vd413))))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or _let_34 _let_33))) (let ((_let_62 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vsucc tptp.vd411))) (let ((_let_2 (tptp.vmul tptp.vd411 Vd413))) (let ((_let_3 (tptp.vplus _let_2 Vd413))) (or (not (= _let_3 (tptp.vmul _let_1 Vd413))) (= (tptp.vplus _let_3 _let_1) (tptp.vplus _let_2 (tptp.vplus Vd413 _let_1)))))))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (= _let_32 _let_20))) (let ((_let_65 (ASSUME :args (_let_23)))) (let ((_let_66 (ASSUME :args (_let_25)))) (let ((_let_67 (ASSUME :args (_let_27)))) (let ((_let_68 (ASSUME :args (_let_29)))) (let ((_let_69 (ASSUME :args (_let_31)))) (let ((_let_70 (ASSUME :args (_let_33)))) (let ((_let_71 (ASSUME :args (_let_21)))) (let ((_let_72 (ASSUME :args (_let_43)))) (let ((_let_73 (_let_15))) (let ((_let_74 (ASSUME :args _let_73))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_71 (MODUS_PONENS _let_74 (SCOPE (CONG (SYMM _let_74) (REFL :args (_let_2)) :args (APPLY_UF tptp.vplus)) :args _let_73)) _let_70 _let_68 _let_67 _let_69 _let_66 _let_65 _let_72) :args (_let_15 _let_43 _let_23 _let_25 _let_27 _let_29 _let_31 _let_33 _let_21)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_72)) (TRUE_INTRO (TRANS (SYMM (SYMM _let_71)) (SYMM (ASSUME :args (_let_64))) (SYMM _let_70) (SYMM _let_69) (SYMM _let_68) (SYMM _let_67) (SYMM _let_66) (SYMM _let_65))))) :args (_let_21 _let_64 _let_33 _let_29 _let_27 _let_31 _let_25 _let_23 _let_43)) :args ((not (and _let_15 _let_43 _let_23 _let_25 _let_27 _let_29 _let_31 _let_33 _let_21)) SB_LITERAL))) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_19))) (REFL :args ((not _let_23))) (REFL :args ((not _let_25))) (REFL :args ((not _let_27))) (REFL :args ((not _let_29))) (REFL :args ((not _let_31))) (REFL :args ((not _let_33))) (REFL :args ((not _let_21))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_34 _let_33 (not _let_61)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vmul _let_2 Vd413)))) :args (_let_62)))) _let_63 :args (_let_61 false _let_62)) :args (_let_33 false _let_15 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_34 _let_31 (not _let_58)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vmul _let_2 Vd413)))) :args (_let_59)))) _let_60 :args (_let_58 false _let_59)) :args (_let_31 false _let_15 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_34 _let_29 (not _let_55)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vmul _let_2 Vd413)))) :args (_let_56)))) _let_57 :args (_let_55 false _let_56)) :args (_let_29 false _let_15 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_34 _let_27 (not _let_52)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vmul _let_2 Vd413)))) :args (_let_53)))) _let_54 :args (_let_52 false _let_53)) :args (_let_27 false _let_15 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_34 _let_25 (not _let_49)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vmul _let_2 Vd413)))) :args (_let_50)))) _let_51 :args (_let_49 false _let_50)) :args (_let_25 false _let_15 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_34 _let_23 (not _let_46)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vmul _let_2 Vd413)))) :args (_let_47)))) _let_48 :args (_let_46 false _let_47)) :args (_let_23 false _let_15 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_45) :args (_let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.vmul BOUND_VARIABLE_1213 (tptp.vsucc BOUND_VARIABLE_1215))))) :args _let_45)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_21 false _let_44)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 1)) _let_41 :args (_let_43 true _let_35)) _let_42 :args (false false _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_23 false _let_21 true _let_19 false _let_15)) :args (_let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vsucc tptp.vd411))) (let ((_let_2 (tptp.vplus (tptp.vmul tptp.vd411 Vd413) Vd413))) (let ((_let_3 (tptp.vmul _let_1 Vd413))) (=> (= _let_3 _let_2) (= (tptp.vplus _let_3 _let_1) (tptp.vplus _let_2 _let_1))))))) (forall ((Vd413 $$unsorted)) (let ((_let_1 (tptp.vsucc tptp.vd411))) (let ((_let_2 (tptp.vmul _let_1 Vd413))) (=> (= _let_2 (tptp.vplus (tptp.vmul tptp.vd411 Vd413) Vd413)) (= (tptp.vmul _let_1 (tptp.vsucc Vd413)) (tptp.vplus _let_2 _let_1)))))) (= _let_4 (tptp.vplus _let_3 tptp.v1)) (= _let_2 _let_4) (= (tptp.vmul _let_2 tptp.v1) _let_2) (forall ((Vd400 $$unsorted)) (= (tptp.vmul tptp.v1 Vd400) Vd400)) _let_1 (forall ((Vd386 $$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 $$unsorted)) (= (tptp.leq Vd250 Vd249) (or (tptp.less Vd250 Vd249) (= Vd250 Vd249)))) (forall ((Vd244 $$unsorted) (Vd245 $$unsorted)) (= (tptp.geq Vd245 Vd244) (or (tptp.greater Vd245 Vd244) (= Vd245 Vd244)))) (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (=> (tptp.less Vd226 Vd227) (tptp.greater Vd227 Vd226))) (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (=> (tptp.greater Vd208 Vd209) (tptp.less Vd209 Vd208))) (forall ((Vd203 $$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))))) (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (tptp.greater Vd194 Vd193) (exists ((Vd196 $$unsorted)) (= Vd194 (tptp.vplus Vd193 Vd196))))) (forall ((Vd120 $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.57  )
% 0.20/0.57  % SZS output end Proof for NUM845+1
% 0.20/0.57  % cvc5---1.0.5 exiting
% 0.20/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------