%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM841+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 10:48:23 EDT 2023

% Result   : Theorem 0.78s 0.98s
% Output   : Proof 0.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM841+2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n024.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 15:47:24 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.78/0.98  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GVYMIGaKgQ/cvc5---1.0.5_9596.p...
% 0.78/0.98  ------- get file name : TPTP file name is NUM841+2
% 0.78/0.98  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9596.smt2...
% 0.78/0.98  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.78/0.98  % SZS status Theorem for NUM841+2
% 0.78/0.98  % SZS output start Proof for NUM841+2
% 0.78/0.98  (
% 0.78/0.98  (let ((_let_1 (forall ((Vd46 $$unsorted) (Vd47 $$unsorted) (Vd48 $$unsorted)) (= (tptp.vplus (tptp.vplus Vd46 Vd47) Vd48) (tptp.vplus Vd46 (tptp.vplus Vd47 Vd48)))))) (let ((_let_2 (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (tptp.greater Vd194 Vd193) (exists ((Vd196 $$unsorted)) (= Vd194 (tptp.vplus Vd193 Vd196))))))) (let ((_let_3 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (tptp.greater Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))))) (let ((_let_4 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (= Vd203 Vd204) (tptp.greater Vd203 Vd204) (tptp.less Vd203 Vd204))))) (let ((_let_5 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (=> (tptp.greater Vd208 Vd209) (tptp.less Vd209 Vd208))))) (let ((_let_6 (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (=> (tptp.less Vd226 Vd227) (tptp.greater Vd227 Vd226))))) (let ((_let_7 (tptp.vplus tptp.vd345 tptp.vd347))) (let ((_let_8 (tptp.vplus tptp.vd344 tptp.vd347))) (let ((_let_9 (tptp.greater _let_8 _let_7))) (let ((_let_10 (tptp.vplus tptp.vd347 tptp.vd345))) (let ((_let_11 (= _let_7 _let_10))) (let ((_let_12 (tptp.vplus tptp.vd348 tptp.vd345))) (let ((_let_13 (tptp.greater _let_10 _let_12))) (let ((_let_14 (tptp.vplus tptp.vd345 tptp.vd348))) (let ((_let_15 (= _let_12 _let_14))) (let ((_let_16 (tptp.greater _let_8 _let_14))) (let ((_let_17 (not _let_16))) (let ((_let_18 (= _let_14 _let_12))) (let ((_let_19 (= _let_10 _let_7))) (let ((_let_20 (= _let_10 (tptp.vplus _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_21 (tptp.vplus _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_22 (= _let_14 _let_21))) (let ((_let_23 (tptp.vplus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_24 (tptp.vplus _let_8 _let_23))) (let ((_let_25 (= (tptp.vplus _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_24))) (let ((_let_26 (= _let_7 _let_24))) (let ((_let_27 (SYMM (ASSUME :args (_let_15))))) (let ((_let_28 (SYMM (ASSUME :args (_let_11))))) (let ((_let_29 (forall ((Vd196 $$unsorted)) (not (= (tptp.vplus tptp.vd347 tptp.vd345) (tptp.vplus (tptp.vplus tptp.vd348 tptp.vd345) Vd196)))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (= _let_13 _let_30))) (let ((_let_32 (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (tptp.greater Vd194 Vd193) (not (forall ((Vd196 $$unsorted)) (not (= Vd194 (tptp.vplus Vd193 Vd196))))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_32))) (let ((_let_35 ((tptp.greater Vd194 Vd193)))) (let ((_let_36 (ASSUME :args (_let_13)))) (let ((_let_37 (not _let_13))) (let ((_let_38 (or))) (let ((_let_39 (_let_20))) (let ((_let_40 (not _let_20))) (let ((_let_41 (_let_30))) (let ((_let_42 (forall ((Vd196 $$unsorted)) (not (= (tptp.vplus tptp.vd345 tptp.vd348) (tptp.vplus (tptp.vplus tptp.vd344 tptp.vd347) Vd196)))))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.greater _let_14 _let_8))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (tptp.less _let_8 _let_14))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_44))) (let ((_let_49 (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (or (not (tptp.less Vd226 Vd227)) (tptp.greater Vd227 Vd226))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (= _let_8 _let_14))) (let ((_let_52 (or _let_51 _let_16 _let_46))) (let ((_let_53 (_let_4))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (tptp.less _let_7 _let_8))) (let ((_let_56 (tptp.less _let_10 _let_12))) (let ((_let_57 (not _let_51))) (let ((_let_58 (not _let_9))) (let ((_let_59 (or _let_58 _let_55))) (let ((_let_60 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (or (not (tptp.greater Vd208 Vd209)) (tptp.less Vd209 Vd208))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 (ASSUME :args (_let_9)))) (let ((_let_64 (not _let_56))) (let ((_let_65 (or _let_37 _let_64))) (let ((_let_66 (_let_3))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 ((not (= (tptp.greater Vd203 Vd204) false))))) (let ((_let_69 (not _let_55))) (let ((_let_70 (not _let_19))) (let ((_let_71 (not _let_18))) (let ((_let_72 (REFL :args (_let_70)))) (let ((_let_73 (REFL :args (_let_71)))) (let ((_let_74 (ASSUME :args (_let_55)))) (let ((_let_75 (ASSUME :args (_let_51)))) (let ((_let_76 (SYMM _let_27))) (let ((_let_77 (SYMM _let_28))) (let ((_let_78 (ASSUME :args (_let_64)))) (let ((_let_79 (_let_22))) (let ((_let_80 (not _let_22))) (let ((_let_81 (_let_43))) (let ((_let_82 (_let_1))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (forall ((Vd196 $$unsorted)) (not (= (tptp.vplus tptp.vd345 tptp.vd347) (tptp.vplus (tptp.vplus tptp.vd344 tptp.vd347) Vd196)))))) (let ((_let_85 (not _let_26))) (let ((_let_86 (not _let_84))) (let ((_let_87 (tptp.greater _let_7 _let_8))) (let ((_let_88 (= _let_87 _let_86))) (let ((_let_89 (tptp.less _let_8 _let_7))) (let ((_let_90 (not _let_87))) (let ((_let_91 (or _let_90 _let_89))) (let ((_let_92 (not _let_89))) (let ((_let_93 (or _let_58 _let_92))) (let ((_let_94 (not _let_88))) (let ((_let_95 (_let_84))) (let ((_let_96 (ASSUME :args (_let_85)))) (let ((_let_97 (ASSUME :args (_let_25)))) (let ((_let_98 (ASSUME :args _let_79))) (let ((_let_99 (ASSUME :args _let_39))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_97 _let_98 _let_27 _let_99 _let_28) (SCOPE (TRANS _let_77 (SYMM (SYMM _let_99)) (CONG (TRANS _let_76 (SYMM (SYMM _let_98))) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) :args (APPLY_UF tptp.vplus)) (SYMM (SYMM _let_97))) :args (_let_25 _let_22 _let_18 _let_20 _let_19))) _let_96) :args (_let_18 _let_19 _let_20 _let_22 _let_25 _let_85)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (SYMM (SYMM (ASSUME :args (_let_26)))))) (FALSE_INTRO _let_96))) :args (_let_26 _let_85)) :args ((not (and _let_18 _let_19 _let_20 _let_22 _let_25 _let_85)) SB_LITERAL))) (CONG _let_73 _let_72 (REFL :args (_let_40)) (REFL :args (_let_80)) (REFL :args ((not _let_25))) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_26))) :args _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vplus _let_8 Vd196)))) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_88)) (CONG (REFL :args (_let_94)) (REFL :args (_let_87)) (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_84))) :args _let_38)) :args ((or _let_87 _let_84 _let_94))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_89 _let_90 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_58 _let_92 (not _let_93)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_8 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_66)) _let_67 :args (_let_93 false _let_3)) :args (_let_92 false _let_9 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_7 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less Vd209 Vd208) true))))) :args _let_62)) _let_61 :args (_let_91 false _let_60)) :args (_let_90 true _let_89 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_8 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_34)) _let_33 :args (_let_88 false _let_32)) :args (_let_84 true _let_87 false _let_88)) :args (_let_85 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((tptp.vplus (tptp.vplus Vd46 Vd47) Vd48)))) :args _let_82)) _let_83 :args (_let_25 false _let_1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_81)) :args _let_81) (REWRITE :args ((=> _let_43 (not _let_80)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) (REFL :args _let_79) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or (not _let_44) _let_43 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_44 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_16 _let_51 _let_46 (not _let_52)))) (ASSUME :args (_let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_74 _let_28 _let_75 _let_27 _let_78) :args (_let_18 _let_19 _let_55 _let_51 _let_64)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_78)) (CONG (SYMM _let_77) (TRANS _let_76 (SYMM _let_75)) :args (APPLY_UF tptp.less)) (TRUE_INTRO _let_74))) :args (_let_55 _let_19 _let_51 _let_18 _let_64)) :args ((not (and _let_18 _let_19 _let_55 _let_51 _let_64)) SB_LITERAL))) (CONG _let_73 _let_72 (REFL :args (_let_69)) (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_56))) :args _let_38)) :args ((or _let_71 _let_70 _let_56 _let_69 _let_57))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_37 _let_64 (not _let_65)))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_10 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_66)) _let_67 :args (_let_65 false _let_3)) :args (_let_64 false _let_13 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_55 (not _let_59)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_8 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd208 Vd209) false))))) :args _let_62)) _let_61 :args (_let_59 false _let_60)) :args (_let_55 false _let_9 false _let_59)) _let_28 _let_27 :args (_let_57 true _let_56 false _let_55 false _let_19 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_8 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd203 Vd204) true))))) :args _let_53)) _let_54 :args (_let_52 false _let_4)) :args (_let_46 true _let_16 true _let_51 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_8 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less Vd226 Vd227) false))))) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_44 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_8 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_34)) _let_33 :args (_let_45 false _let_32)) :args (_let_43 false _let_44 false _let_45)) :args (_let_22 true _let_42)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41) (REWRITE :args ((=> _let_30 (not _let_40)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) (REFL :args _let_39) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_31)) :args ((or _let_37 _let_30 (not _let_31)))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_12 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_34)) _let_33 :args (_let_31 false _let_32)) :args (_let_30 false _let_13 false _let_31)) :args (_let_20 true _let_29)) _let_28 _let_27 :args (false true _let_26 false _let_25 false _let_22 false _let_20 false _let_19 false _let_18)) :args (_let_17 _let_15 _let_13 _let_11 _let_9 (tptp.greater tptp.vd347 tptp.vd348) (tptp.greater tptp.vd344 tptp.vd345) (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)) _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (= Vd120 Vd121)) (not (exists ((Vd123 $$unsorted)) (= Vd120 (tptp.vplus Vd121 Vd123)))))) (forall ((Vd78 $$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))) _let_1 (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))))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.78/0.99  )
% 0.78/0.99  % SZS output end Proof for NUM841+2
% 0.78/0.99  % cvc5---1.0.5 exiting
% 0.78/0.99  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------