TSTP Solution File: ARI629_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI629_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 : Wed Aug 30 17:31:33 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI629_1 : TPTP v8.1.2. Released v6.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n008.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 : Tue Aug 29 18:22:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 %----Proving TF0_ARI
% 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KmGAePPnwG/cvc5---1.0.5_1769.p...
% 0.21/0.53 ------- get file name : TPTP file name is ARI629_1
% 0.21/0.53 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1769.smt2...
% 0.21/0.53 --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.53 % SZS status Theorem for ARI629_1
% 0.21/0.53 % SZS output start Proof for ARI629_1
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (+ 1.0 (* tptp.y tptp.y)))) (let ((_let_2 (not (>= (* _let_1 tptp.x) _let_1)))) (let ((_let_3 (> tptp.x 1.0))) (let ((_let_4 (* (- 1) tptp.x))) (let ((_let_5 (>= _let_4 (- 1)))) (let ((_let_6 (* tptp.x tptp.y tptp.y))) (let ((_let_7 (* tptp.y tptp.y))) (let ((_let_8 (* (- 1) _let_7))) (let ((_let_9 (+ tptp.x _let_8 _let_6))) (let ((_let_10 (>= _let_9 1))) (let ((_let_11 (* (- 1) _let_6))) (let ((_let_12 (+ _let_7 _let_11))) (let ((_let_13 (>= _let_12 0))) (let ((_let_14 (_let_3))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args _let_14) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (not _let_13))) (let ((_let_18 (>= _let_7 0))) (let ((_let_19 (ite _let_18 _let_17 (not (>= (+ _let_8 _let_11) 0))))) (let ((_let_20 (>= _let_6 0))) (let ((_let_21 (ite _let_20 _let_19 (ite _let_18 (not (>= (+ _let_7 _let_6) 0)) (not (>= (+ _let_8 _let_6) 0)))))) (let ((_let_22 (= tptp.y 0.0))) (let ((_let_23 (not _let_22))) (let ((_let_24 (= tptp.x 0.0))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_5))) (let ((_let_27 (>= tptp.x 0))) (let ((_let_28 (ite _let_27 _let_26 (not (>= tptp.x (- 1)))))) (let ((_let_29 (and _let_28 _let_25 _let_23))) (let ((_let_30 (or))) (let ((_let_31 (not _let_27))) (let ((_let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_5))))) (let ((_let_33 (>= tptp.x 0.0))) (let ((_let_34 ((< tptp.x 0.0)))) (let ((_let_35 (_let_31))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_33))) (let ((_let_38 (false))) (let ((_let_39 (1.0 (- 1.0)))) (let ((_let_40 (MACRO_SR_PRED_TRANSFORM _let_15 :args _let_14))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_36 _let_15) :args (_let_26 _let_31)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_34) _let_40 :args _let_39) :args _let_38) :args _let_34) :args _let_37) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM _let_36 :args _let_34) :args ((not _let_33)))) :args (_let_31 _let_26)) :args ((not (and _let_26 _let_31)) SB_LITERAL))) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) :args _let_30)) _let_15 :args (_let_27 true _let_5)))) (let ((_let_42 (REFL :args _let_35))) (let ((_let_43 (_let_28))) (let ((_let_44 (_let_25))) (let ((_let_45 (_let_24))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_46 _let_15) :args (_let_26 _let_24)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_46 :args _let_45) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_46 _let_40 :args _let_39) :args _let_38) :args _let_45) :args _let_44)) :args (_let_24 _let_26)) :args ((not (and _let_26 _let_24)) SB_LITERAL))) (CONG _let_32 (REFL :args _let_44) :args _let_30)) _let_15 :args (_let_25 true _let_5)))) (let ((_let_48 (= _let_7 0.0))) (let ((_let_49 (= _let_6 0.0))) (let ((_let_50 (_let_22))) (let ((_let_51 (_let_48))) (let ((_let_52 (not _let_20))) (let ((_let_53 (not _let_48))) (let ((_let_54 (not _let_10))) (let ((_let_55 (MACRO_SR_PRED_TRANSFORM _let_16 :args ((< _let_9 1.0))))) (let ((_let_56 (>= _let_6 0.0))) (let ((_let_57 (_let_56))) (let ((_let_58 (_let_20))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (MACRO_SR_PRED_TRANSFORM _let_59 :args _let_57))) (let ((_let_61 ((not _let_49)))) (let ((_let_62 (_let_49))) (let ((_let_63 ((< _let_6 0.0)))) (let ((_let_64 (_let_52))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (ASSUME :args _let_62))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_66 _let_65) :args (_let_52 _let_49)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_66 :args _let_62) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_66 (MACRO_SR_PRED_TRANSFORM _let_65 :args _let_63) :args ((- 1.0) 1.0)) :args _let_38) :args _let_62) :args _let_61)) :args (_let_49 _let_52)) :args ((not (and _let_52 _let_49)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_20))) (REFL :args _let_61) :args _let_30)) (THEORY_LEMMA :args ((or _let_23 _let_49) THEORY_ARITH)) (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_60 _let_55 _let_40 (ASSUME :args _let_51) :args ((- 1.0) 1.0 (- 1.0) 1.0)) :args _let_38) :args (_let_54 _let_26 _let_48 _let_20))) :args ((or _let_10 _let_5 _let_53 _let_52))) :args ((or _let_5 _let_10 _let_53 _let_52))) _let_16 _let_15 (REORDERING (IMPLIES_ELIM (SCOPE (MACRO_SR_PRED_INTRO (ASSUME :args _let_50) :args _let_51) :args _let_50)) :args ((or _let_48 _let_23))) :args (_let_23 false _let_49 true _let_20 true _let_10 true _let_5 false _let_48)))) (let ((_let_68 (not _let_28))) (let ((_let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))))) (let ((_let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))))) (let ((_let_71 (_let_29))) (let ((_let_72 (- _let_7))) (let ((_let_73 (- _let_6))) (let ((_let_74 (>= _let_7 0.0))) (let ((_let_75 (- 1.0))) (let ((_let_76 (- tptp.x))) (let ((_let_77 (>= 1.0 0.0))) (let ((_let_78 (=> (and (ite _let_33 (ite _let_77 _let_3 (> tptp.x _let_75)) (ite _let_77 (> _let_76 1.0) (> _let_76 _let_75))) _let_25 _let_23) (ite _let_56 (ite _let_74 (> _let_6 _let_7) (> _let_6 _let_72)) (ite _let_74 (> _let_73 _let_7) (> _let_73 _let_72)))))) (let ((_let_79 (>= _let_11 0))) (let ((_let_80 (>= _let_4 0))) (let ((_let_81 (not _let_80))) (let ((_let_82 (and _let_81 _let_23))) (let ((_let_83 (not _let_79))) (let ((_let_84 (_let_81))) (let ((_let_85 (and _let_25 _let_27))) (let ((_let_86 (> tptp.x 0.0))) (let ((_let_87 (ASSUME :args _let_44))) (let ((_let_88 (ASSUME :args (_let_27)))) (let ((_let_89 (_let_82))) (let ((_let_90 (> _let_6 0.0))) (let ((_let_91 (_let_83))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_92 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_63) (MACRO_SR_PRED_TRANSFORM _let_92 :args (_let_90)) :args _let_39) :args _let_38) :args _let_63) :args _let_57) :args _let_58) :args _let_91)) :args _let_91)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_79))) (REFL :args _let_58) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_86 _let_23 _let_6)) (REWRITE :args ((=> (and _let_86 _let_23) _let_90))))) :args ((or _let_83 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_89) (CONG (REFL :args _let_89) (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) _let_69 :args _let_30)) :args ((or _let_22 _let_80 _let_82))) _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_87) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_88 :args _let_37) _let_87 :args (_let_86)) :args _let_84) :args (_let_27 _let_25))) :args (_let_25 _let_27))) :args (true _let_85)) (CONG _let_70 _let_42 (REFL :args _let_84) :args _let_30)) :args ((or _let_81 _let_24 _let_31))) _let_47 _let_41 :args (_let_81 true _let_24 false _let_27)) :args (_let_82 true _let_22 true _let_80)) :args (_let_83 false _let_82)) :args (_let_20 true _let_79)))) (let ((_let_94 (not _let_18))) (let ((_let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_10))))) (let ((_let_96 (< _let_7 0.0))) (let ((_let_97 (_let_96))) (let ((_let_98 (ASSUME :args (_let_94)))) (let ((_let_99 (< _let_12 0.0))) (let ((_let_100 (_let_99))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_17)) :args _let_100) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_100) _let_55 _let_40 :args (1.0 1.0 (- 1.0))) :args _let_38) :args _let_100) :args ((>= _let_12 0.0))) :args ((not _let_99)))) :args (_let_26 _let_54 _let_17))) (CONG _let_32 _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_13))) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_19)) :args ((or _let_94 _let_17 (not _let_19)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_16 _let_15 _let_59 _let_98) :args (_let_26 _let_54 _let_94 _let_20)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_98 :args _let_97) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_97) _let_60 _let_40 _let_55 :args (1.0 (- 1.0) (- 1.0) 1.0)) :args _let_38) :args _let_97) :args (_let_74)) :args ((not _let_96)))) :args (_let_54 _let_26 _let_20 _let_94)) :args ((not (and _let_26 _let_54 _let_94 _let_20)) SB_LITERAL))) (CONG _let_32 _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_18))) (REFL :args _let_64) :args _let_30)) _let_93 _let_16 _let_15 :args (_let_18 false _let_20 true _let_10 true _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_21)) :args ((or _let_52 _let_19 (not _let_21)))) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_78 THEORY_ARITH)) (REWRITE :args (_let_78)))) :args ((or _let_21 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_71) (CONG (REFL :args _let_71) (REFL :args (_let_68)) _let_70 _let_69 :args _let_30)) :args ((or _let_22 _let_24 _let_68 _let_29))) _let_67 _let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_ITE_NEG1 :args _let_43) (CONG (REFL :args _let_43) _let_42 _let_32 :args _let_30)) :args ((or _let_5 _let_28 _let_31))) _let_15 _let_41 :args (_let_28 true _let_5 false _let_27)) :args (_let_29 true _let_22 true _let_24 false _let_28)) :args (_let_21 false _let_29)) :args (_let_19 false _let_20 false _let_21)) :args (_let_17 false _let_18 false _let_19)) _let_16 _let_15 :args (false true _let_13 true _let_10 true _let_5)) :args (_let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for ARI629_1
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------