%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM855+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 10:48:30 EDT 2023

% Result   : Theorem 0.21s 0.58s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM855+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n015.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 14:53:07 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.58  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.2ASxvi7Iv7/cvc5---1.0.5_26208.p...
% 0.21/0.58  ------- get file name : TPTP file name is NUM855+1
% 0.21/0.58  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26208.smt2...
% 0.21/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58  % SZS status Theorem for NUM855+1
% 0.21/0.58  % SZS output start Proof for NUM855+1
% 0.21/0.58  (
% 0.21/0.58  (let ((_let_1 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (tptp.greater Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))))) (let ((_let_2 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (= Vd203 Vd204) (tptp.greater Vd203 Vd204) (tptp.less Vd203 Vd204))))) (let ((_let_3 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (=> (tptp.greater Vd208 Vd209) (tptp.less Vd209 Vd208))))) (let ((_let_4 (forall ((Vd262 $$unsorted) (Vd263 $$unsorted) (Vd265 $$unsorted)) (=> (and (tptp.less Vd263 Vd265) (tptp.less Vd262 Vd263)) (tptp.less Vd262 Vd265))))) (let ((_let_5 (tptp.vmul tptp.vd509 tptp.vd511))) (let ((_let_6 (tptp.vmul tptp.vd508 tptp.vd511))) (let ((_let_7 (tptp.greater _let_6 _let_5))) (let ((_let_8 (tptp.vmul tptp.vd511 tptp.vd509))) (let ((_let_9 (= _let_5 _let_8))) (let ((_let_10 (tptp.vmul tptp.vd512 tptp.vd509))) (let ((_let_11 (tptp.greater _let_8 _let_10))) (let ((_let_12 (tptp.vmul tptp.vd509 tptp.vd512))) (let ((_let_13 (= _let_10 _let_12))) (let ((_let_14 (tptp.greater _let_6 _let_12))) (let ((_let_15 (not _let_14))) (let ((_let_16 (= _let_12 _let_10))) (let ((_let_17 (= _let_8 _let_5))) (let ((_let_18 (tptp.less _let_8 _let_10))) (let ((_let_19 (tptp.less _let_5 _let_12))) (let ((_let_20 (SYMM (ASSUME :args (_let_13))))) (let ((_let_21 (SYMM (ASSUME :args (_let_9))))) (let ((_let_22 (not _let_18))) (let ((_let_23 (not _let_11))) (let ((_let_24 (or _let_23 _let_22))) (let ((_let_25 (_let_1))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_22 (not _let_24)))) (ASSUME :args (_let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_8 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd203 Vd204) false))))) :args _let_25)) _let_26 :args (_let_24 false _let_1)) :args (_let_22 false _let_11 false _let_24)))) (let ((_let_28 (tptp.less _let_5 _let_6))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.less _let_6 _let_12))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_19))) (let ((_let_33 (forall ((Vd262 $$unsorted) (Vd263 $$unsorted) (Vd265 $$unsorted)) (or (not (tptp.less Vd263 Vd265)) (not (tptp.less Vd262 Vd263)) (tptp.less Vd262 Vd265))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (= _let_6 _let_12))) (let ((_let_36 (or _let_35 _let_14 _let_30))) (let ((_let_37 (_let_2))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (not _let_35))) (let ((_let_40 (not _let_7))) (let ((_let_41 (or _let_40 _let_28))) (let ((_let_42 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (or (not (tptp.greater Vd208 Vd209)) (tptp.less Vd209 Vd208))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_28 (not _let_41)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_6 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd208 Vd209) false))))) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_28 false _let_7 false _let_41)))) (let ((_let_45 (not _let_17))) (let ((_let_46 (not _let_16))) (let ((_let_47 (or))) (let ((_let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))))) (let ((_let_49 (REFL :args (_let_45)))) (let ((_let_50 (REFL :args (_let_46)))) (let ((_let_51 (ASSUME :args (_let_28)))) (let ((_let_52 (APPLY_UF tptp.less))) (let ((_let_53 (ASSUME :args (_let_35)))) (let ((_let_54 (SYMM _let_20))) (let ((_let_55 (SYMM (SYMM _let_21)))) (let ((_let_56 (ASSUME :args (_let_22)))) (let ((_let_57 (SYMM (FALSE_INTRO _let_56)))) (let ((_let_58 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_58 _let_21 _let_20 _let_56) :args (_let_16 _let_17 _let_22 _let_19)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_57 (CONG _let_55 _let_54 :args _let_52) (TRUE_INTRO _let_58))) :args (_let_19 _let_17 _let_16 _let_22)) :args ((not (and _let_16 _let_17 _let_22 _let_19)) SB_LITERAL))) (CONG _let_50 _let_49 _let_48 (REFL :args ((not _let_19))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_29 _let_31 _let_19 (not _let_32)))) _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_14 _let_35 _let_30 (not _let_36)))) (ASSUME :args (_let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_51 _let_21 _let_53 _let_20 _let_56) :args (_let_16 _let_17 _let_35 _let_28 _let_22)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_57 (CONG _let_55 (TRANS _let_54 (SYMM _let_53)) :args _let_52) (TRUE_INTRO _let_51))) :args (_let_28 _let_17 _let_35 _let_16 _let_22)) :args ((not (and _let_16 _let_17 _let_35 _let_28 _let_22)) SB_LITERAL))) (CONG _let_50 _let_49 (REFL :args (_let_39)) (REFL :args (_let_29)) _let_48 :args _let_47)) :args ((or _let_46 _let_45 _let_18 _let_39 _let_29))) _let_20 _let_21 _let_27 _let_44 :args (_let_39 false _let_16 false _let_17 true _let_18 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_6 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd203 Vd204) true))))) :args _let_37)) _let_38 :args (_let_36 false _let_2)) :args (_let_30 true _let_14 true _let_35 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_5 _let_6 _let_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less Vd263 Vd265) false)) (not (= (tptp.less Vd262 Vd263) false))))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_19 false _let_28 false _let_30 false _let_32)) _let_27 _let_21 _let_20 :args (false false _let_19 true _let_18 false _let_17 false _let_16)) :args (_let_15 _let_13 _let_11 _let_9 _let_7 (tptp.greater tptp.vd511 tptp.vd512) (tptp.greater tptp.vd508 tptp.vd509) (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 $$unsorted)) (=> (tptp.greater (tptp.vmul Vd486 Vd487) (tptp.vmul Vd488 Vd487)) (tptp.greater Vd486 Vd488))) (forall ((Vd456 $$unsorted) (Vd465 $$unsorted) (Vd466 $$unsorted)) (=> (tptp.less Vd465 Vd466) (tptp.less (tptp.vmul Vd465 Vd456) (tptp.vmul Vd466 Vd456)))) (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 $$unsorted)) (= (tptp.vmul (tptp.vmul Vd444 Vd445) Vd446) (tptp.vmul Vd444 (tptp.vmul Vd445 Vd446)))) (forall ((Vd432 $$unsorted) (Vd433 $$unsorted) (Vd434 $$unsorted)) (= (tptp.vmul Vd432 (tptp.vplus Vd433 Vd434)) (tptp.vplus (tptp.vmul Vd432 Vd433) (tptp.vmul Vd432 Vd434)))) (forall ((Vd418 $$unsorted) (Vd419 $$unsorted)) (= (tptp.vmul Vd418 Vd419) (tptp.vmul Vd419 Vd418))) (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))) _let_4 (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))) _let_3 _let_2 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (= Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))) _let_1 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.59  )
% 0.21/0.59  % SZS output end Proof for NUM855+1
% 0.21/0.59  % cvc5---1.0.5 exiting
% 0.21/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------