TSTP Solution File: NUM840+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM840+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 0.21s 0.56s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM840+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 08:13:10 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.56 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.uF83gUakIJ/cvc5---1.0.5_11808.p...
% 0.21/0.56 ------- get file name : TPTP file name is NUM840+2
% 0.21/0.56 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11808.smt2...
% 0.21/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56 % SZS status Theorem for NUM840+2
% 0.21/0.56 % SZS output start Proof for NUM840+2
% 0.21/0.56 (
% 0.21/0.56 (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 ((Vd226 $$unsorted) (Vd227 $$unsorted)) (=> (tptp.less Vd226 Vd227) (tptp.greater Vd227 Vd226))))) (let ((_let_6 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (tptp.less Vd301 Vd302) (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))))) (let ((_let_7 (tptp.vplus tptp.vd329 tptp.vd330))) (let ((_let_8 (tptp.vplus tptp.vd328 tptp.vd330))) (let ((_let_9 (tptp.greater _let_8 _let_7))) (let ((_let_10 (= tptp.vd328 tptp.vd329))) (let ((_let_11 (tptp.less _let_8 _let_7))) (let ((_let_12 (tptp.less tptp.vd328 tptp.vd329))) (let ((_let_13 (not _let_12))) (let ((_let_14 (= _let_8 (tptp.vplus tptp.vd330 tptp.vd328)))) (let ((_let_15 (= _let_7 (tptp.vplus tptp.vd330 tptp.vd329)))) (let ((_let_16 (tptp.greater _let_7 _let_8))) (let ((_let_17 (_let_1))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 ((tptp.vplus Vd79 Vd78)))) (let ((_let_20 (not _let_11))) (let ((_let_21 (or _let_20 _let_16))) (let ((_let_22 (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (or (not (tptp.less Vd226 Vd227)) (tptp.greater Vd227 Vd226))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 (ASSUME :args (_let_11)))) (let ((_let_26 (not _let_9))) (let ((_let_27 (or _let_26 _let_20))) (let ((_let_28 (_let_2))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_20 _let_26 (not _let_27)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_8 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd203 Vd204) false))))) :args _let_28)) _let_29 :args (_let_27 false _let_2)) :args (_let_26 false _let_11 false _let_27)))) (let ((_let_31 (tptp.less tptp.vd329 tptp.vd328))) (let ((_let_32 (tptp.greater tptp.vd329 tptp.vd328))) (let ((_let_33 (or _let_10 _let_32 _let_31))) (let ((_let_34 (_let_3))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not _let_32))) (let ((_let_37 (or _let_36 _let_12))) (let ((_let_38 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (or (not (tptp.greater Vd208 Vd209)) (tptp.less Vd209 Vd208))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (tptp.less _let_7 _let_8))) (let ((_let_41 (not _let_31))) (let ((_let_42 (or _let_41 _let_40))) (let ((_let_43 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (or (not (tptp.less Vd301 Vd302)) (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (not _let_40))) (let ((_let_46 (or _let_45 _let_9))) (let ((_let_47 (not _let_15))) (let ((_let_48 (not _let_14))) (let ((_let_49 (not _let_16))) (let ((_let_50 (not _let_10))) (let ((_let_51 (ASSUME :args (_let_26)))) (let ((_let_52 (ASSUME :args (_let_15)))) (let ((_let_53 (ASSUME :args (_let_10)))) (let ((_let_54 (ASSUME :args (_let_14)))) (let ((_let_55 (TRANS (SYMM (SYMM _let_54)) (CONG (REFL :args (tptp.vd330)) (SYMM (SYMM _let_53)) :args (APPLY_UF tptp.vplus)) (SYMM _let_52)))) (let ((_let_56 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_51 _let_54 _let_53 _let_52 _let_56) :args (_let_10 _let_26 _let_16 _let_14 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_56)) (CONG (SYMM _let_55) _let_55 :args (APPLY_UF tptp.greater)) (FALSE_INTRO _let_51))) :args (_let_26 _let_14 _let_10 _let_15 _let_16)) :args ((not (and _let_10 _let_26 _let_16 _let_14 _let_15)) SB_LITERAL))) (CONG (REFL :args (_let_50)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_9))) (REFL :args (_let_49)) (REFL :args (_let_48)) (REFL :args (_let_47)) :args (or))) :args ((or _let_9 _let_50 _let_49 _let_48 _let_47))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_10 _let_31 _let_32 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_40 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_9 _let_45 (not _let_46)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_7 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd227 Vd226) true))))) :args _let_24)) _let_23 :args (_let_46 false _let_22)) :args (_let_45 true _let_9 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.vd329 tptp.vd328 tptp.vd330 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)) true))))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_41 true _let_40 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_12 _let_36 (not _let_37)))) (ASSUME :args (_let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.vd329 tptp.vd328 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less Vd209 Vd208) true))))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_36 true _let_12 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.vd329 tptp.vd328 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd203 Vd204) true))))) :args _let_34))) _let_35 :args (_let_33 false _let_3)) :args (_let_10 true _let_31 true _let_32 false _let_33)) _let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_16 (not _let_21)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_8 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less Vd226 Vd227) false))))) :args _let_24)) _let_23 :args (_let_21 false _let_22)) :args (_let_16 false _let_11 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.vd330 tptp.vd329 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_17)) _let_18 :args (_let_15 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.vd330 tptp.vd328 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_17)) _let_18 :args (_let_14 false _let_1)) :args (false false _let_10 true _let_9 false _let_16 false _let_15 false _let_14)) :args (_let_13 _let_11 (=> (= _let_8 _let_7) _let_10) (=> _let_9 (tptp.greater tptp.vd328 tptp.vd329)) _let_6 (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)))) _let_5 _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)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57 )
% 0.21/0.57 % SZS output end Proof for NUM840+2
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------