TSTP Solution File: NUM839+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM839+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% 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 : Thu Aug 31 10:48:22 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM839+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 12:20:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.EUUM2C3GWe/cvc5---1.0.5_22746.p...
% 0.20/0.54 ------- get file name : TPTP file name is NUM839+1
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22746.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for NUM839+1
% 0.20/0.54 % SZS output start Proof for NUM839+1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (forall ((Vd78 $$unsorted) (Vd79 $$unsorted)) (= (tptp.vplus Vd79 Vd78) (tptp.vplus Vd78 Vd79))))) (let ((_let_2 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (tptp.greater Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))))) (let ((_let_3 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (= Vd203 Vd204) (tptp.greater Vd203 Vd204) (tptp.less Vd203 Vd204))))) (let ((_let_4 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (=> (tptp.greater Vd208 Vd209) (tptp.less Vd209 Vd208))))) (let ((_let_5 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (tptp.less Vd301 Vd302) (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))))) (let ((_let_6 (tptp.vplus tptp.vd329 tptp.vd330))) (let ((_let_7 (tptp.vplus tptp.vd328 tptp.vd330))) (let ((_let_8 (tptp.greater _let_7 _let_6))) (let ((_let_9 (tptp.greater tptp.vd328 tptp.vd329))) (let ((_let_10 (not _let_9))) (let ((_let_11 (= _let_7 (tptp.vplus tptp.vd330 tptp.vd328)))) (let ((_let_12 (= _let_6 (tptp.vplus tptp.vd330 tptp.vd329)))) (let ((_let_13 (tptp.greater _let_6 _let_7))) (let ((_let_14 (= tptp.vd328 tptp.vd329))) (let ((_let_15 (ASSUME :args (_let_8)))) (let ((_let_16 (_let_1))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 ((tptp.vplus Vd79 Vd78)))) (let ((_let_19 (tptp.less _let_7 _let_6))) (let ((_let_20 (not _let_13))) (let ((_let_21 (or _let_20 _let_19))) (let ((_let_22 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (or (not (tptp.greater Vd208 Vd209)) (tptp.less Vd209 Vd208))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (not _let_19))) (let ((_let_25 (not _let_8))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (_let_2))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_24 (not _let_26)))) _let_15 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_7 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd203 Vd204) false))))) :args _let_27)) _let_28 :args (_let_26 false _let_2)) :args (_let_24 false _let_8 false _let_26)))) (let ((_let_30 (tptp.less tptp.vd328 tptp.vd329))) (let ((_let_31 (or _let_14 _let_9 _let_30))) (let ((_let_32 (_let_3))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (not _let_30))) (let ((_let_35 (or _let_34 _let_19))) (let ((_let_36 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (or (not (tptp.less Vd301 Vd302)) (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (ASSUME :args (_let_20)))) (let ((_let_39 (ASSUME :args (_let_11)))) (let ((_let_40 (ASSUME :args (_let_14)))) (let ((_let_41 (ASSUME :args (_let_12)))) (let ((_let_42 (TRANS (SYMM (SYMM _let_41)) (CONG (REFL :args (tptp.vd330)) (SYMM _let_40) :args (APPLY_UF tptp.vplus)) (SYMM _let_39)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_38 _let_41 _let_40 _let_39 _let_15) :args (_let_8 _let_14 _let_11 _let_12 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_15)) (CONG (SYMM _let_42) _let_42 :args (APPLY_UF tptp.greater)) (FALSE_INTRO _let_38))) :args (_let_20 _let_12 _let_14 _let_11 _let_8)) :args ((not (and _let_8 _let_14 _let_11 _let_12 _let_20)) SB_LITERAL))) (CONG (REFL :args (_let_25)) (REFL :args ((not _let_14))) (REFL :args ((not _let_11))) (REFL :args ((not _let_12))) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_13))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_9 _let_14 _let_30 (not _let_31)))) (ASSUME :args (_let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_19 _let_34 (not _let_35)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.vd328 tptp.vd329 tptp.vd330 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)) true))))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_34 true _let_19 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.vd328 tptp.vd329 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd203 Vd204) true))))) :args _let_32)) _let_33 :args (_let_31 false _let_3)) :args (_let_14 true _let_9 true _let_30 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_19 _let_20 (not _let_21)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_6 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less Vd209 Vd208) true))))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_20 true _let_19 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.vd330 tptp.vd329 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_18)) :args _let_16)) _let_17 :args (_let_12 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.vd330 tptp.vd328 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_18)) :args _let_16)) _let_17 :args (_let_11 false _let_1)) _let_15 :args (false false _let_14 true _let_13 false _let_12 false _let_11 false _let_8)) :args (_let_10 _let_8 _let_5 (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 $$unsorted)) (=> (tptp.less Vd226 Vd227) (tptp.greater Vd227 Vd226))) _let_4 _let_3 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (= Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))) _let_2 (forall ((Vd203 $$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)))) _let_1 (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)))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for NUM839+1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------