TSTP Solution File: ARI671_1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI671_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 17:31:42 EDT 2023
% Result : Unsatisfiable 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI671_1 : TPTP v8.1.2. Released v6.3.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n010.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 18:23:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_ARI
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.uDjK9ygyVW/cvc5---1.0.5_25955.p...
% 0.20/0.49 ------- get file name : TPTP file name is ARI671_1
% 0.20/0.50 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25955.smt2...
% 0.20/0.50 --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.52 % SZS status Unsatisfiable for ARI671_1
% 0.20/0.52 % SZS output start Proof for ARI671_1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (= (* tptp.a tptp.a) 2))) (let ((_let_2 (_let_1))) (let ((_let_3 (= tptp.a 0))) (let ((_let_4 (not _let_3))) (let ((_let_5 (>= tptp.a (- 1)))) (let ((_let_6 (not _let_5))) (let ((_let_7 (>= tptp.a 2))) (let ((_let_8 (>= tptp.a 0))) (let ((_let_9 (ite _let_8 _let_7 _let_6))) (let ((_let_10 (and _let_9 _let_4))) (let ((_let_11 (* tptp.a tptp.a))) (let ((_let_12 (+ tptp.a (* (- 1) _let_11)))) (let ((_let_13 (+ tptp.a _let_11))) (let ((_let_14 (>= _let_13 1))) (let ((_let_15 (>= _let_12 0))) (let ((_let_16 (not _let_15))) (let ((_let_17 (ite _let_8 _let_16 _let_14))) (let ((_let_18 (>= _let_11 0))) (let ((_let_19 (ite _let_18 _let_17 (ite _let_8 (not (>= _let_13 0)) (>= _let_12 1))))) (let ((_let_20 (= tptp.a 1))) (let ((_let_21 (>= tptp.a 1))) (let ((_let_22 (= tptp.a (- 1)))) (let ((_let_23 (or _let_20 _let_22))) (let ((_let_24 (not _let_20))) (let ((_let_25 (= _let_11 (- 1)))) (let ((_let_26 (= _let_11 1))) (let ((_let_27 (or _let_26 _let_25))) (let ((_let_28 (not _let_23))) (let ((_let_29 (not _let_27))) (let ((_let_30 (= _let_11 2))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args _let_2) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (=))) (let ((_let_34 (SYMM (SYMM _let_31)))) (let ((_let_35 (- 1))) (let ((_let_36 (or _let_20 (= tptp.a _let_35)))) (let ((_let_37 (=> (and _let_36 _let_36) (or _let_26 (= _let_11 _let_35))))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_37 THEORY_ARITH)) (REWRITE :args (_let_37)))) :args ((or _let_27 _let_28))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_25 _let_29))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_31 (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (REFL :args (1)) _let_34 :args _let_33) (MACRO_SR_PRED_INTRO :args ((= (= 1 2) false)))) :args ((= _let_26 false)))) :args _let_32)) :args _let_32)) _let_31 :args ((not _let_26) false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_31 (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (REFL :args ((- 1))) _let_34 :args _let_33) (MACRO_SR_PRED_INTRO :args ((= (= (- 1) 2) false)))) :args ((= _let_25 false)))) :args _let_32)) :args _let_32)) _let_31 :args ((not _let_25) false _let_30)) :args (_let_29 true _let_26 true _let_25)) :args (_let_28 true _let_27)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 0)) _let_38 :args (_let_24 true _let_23)))) (let ((_let_40 (= _let_11 0))) (let ((_let_41 (_let_3))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MACRO_SR_PRED_INTRO (ASSUME :args _let_41) :args (_let_40)) :args _let_41)) :args ((or _let_40 _let_4))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_31 (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (REFL :args (0)) _let_34 :args _let_33) (MACRO_SR_PRED_INTRO :args ((= (= 0 2) false)))) :args ((= _let_40 false)))) :args _let_32)) :args _let_32)) _let_31 :args ((not _let_40) false _let_30)) :args (_let_4 true _let_40)))) (let ((_let_43 (or))) (let ((_let_44 (not _let_8))) (let ((_let_45 (_let_44))) (let ((_let_46 (not _let_21))) (let ((_let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_21))))) (let ((_let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))))) (let ((_let_49 (and _let_4 _let_46))) (let ((_let_50 (_let_4 _let_46))) (let ((_let_51 ((< tptp.a 0)))) (let ((_let_52 (_let_46))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (ASSUME :args (_let_4)))) (let ((_let_55 (ARITH_TRICHOTOMY _let_54 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_53 :args ((< tptp.a 1)))) :args _let_51))) (let ((_let_56 (not _let_22))) (let ((_let_57 (_let_6))) (let ((_let_58 (and _let_4 _let_46 _let_56))) (let ((_let_59 ((< tptp.a (- 1))))) (let ((_let_60 (ASSUME :args (_let_56)))) (let ((_let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))))) (let ((_let_62 (_let_9))) (let ((_let_63 ((not _let_14)))) (let ((_let_64 (not _let_30))) (let ((_let_65 (REFL :args (_let_64)))) (let ((_let_66 (_let_14))) (let ((_let_67 (false))) (let ((_let_68 (ASSUME :args _let_57))) (let ((_let_69 (ASSUME :args _let_66))) (let ((_let_70 (not _let_9))) (let ((_let_71 (_let_10))) (let ((_let_72 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_71) (CONG (REFL :args _let_71) (REFL :args (_let_70)) _let_48 :args _let_43)) :args ((or _let_3 _let_10 _let_70))))) (let ((_let_73 (not _let_17))) (let ((_let_74 (_let_17))) (let ((_let_75 (- tptp.a))) (let ((_let_76 (- _let_11))) (let ((_let_77 (>= 1 0))) (let ((_let_78 (> tptp.a 1))) (let ((_let_79 (=> (and (ite _let_8 (ite _let_77 _let_78 (> tptp.a _let_35)) (ite _let_77 (> _let_75 1) (> _let_75 _let_35))) _let_4) (ite _let_18 (ite _let_8 (> _let_11 tptp.a) (> _let_11 _let_75)) (ite _let_8 (> _let_76 tptp.a) (> _let_76 _let_75)))))) (let ((_let_80 (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_79 THEORY_ARITH)) (REWRITE :args (_let_79)))) :args ((or _let_19 (not _let_10)))))) (let ((_let_81 (not _let_18))) (let ((_let_82 (> _let_11 (- 1)))) (let ((_let_83 (ASSUME :args (_let_81)))) (let ((_let_84 ((<= _let_11 (- 1))))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_83 _let_31) :args (_let_30 _let_81)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_84) _let_31 :args (1.0 (- 1.0))) :args _let_67) :args _let_84) :args (_let_82)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_83 :args ((< _let_11 0)))) :args ((not _let_82)))) :args (_let_81 _let_30)) :args ((not (and _let_30 _let_81)) SB_LITERAL))) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_18))) :args _let_43)) _let_31 :args (_let_18 false _let_30)))) (let ((_let_86 (not _let_19))) (let ((_let_87 (REORDERING (CNF_ITE_POS1 :args (_let_19)) :args ((or _let_17 _let_81 _let_86))))) (let ((_let_88 (MACRO_RESOLUTION_TRUST _let_87 _let_85 _let_80 (REORDERING (CNF_ITE_POS2 :args _let_74) :args ((or _let_8 _let_14 _let_73))) _let_72 _let_42 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_68 _let_31 _let_69) :args (_let_30 _let_6 _let_14)) (SCOPE (CONTRA _let_69 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_69 _let_31 (MACRO_SR_PRED_TRANSFORM _let_68 :args _let_59) :args ((- 1.0) 1.0 1.0)) :args _let_67) :args _let_66) :args ((< _let_13 1))) :args _let_63)) :args (_let_6 _let_30 _let_14)) :args ((not (and _let_30 _let_6 _let_14)) SB_LITERAL))) (CONG _let_65 _let_61 (REFL :args _let_63) :args _let_43)) _let_31 (REORDERING (EQ_RESOLVE (CNF_ITE_NEG2 :args _let_62) (CONG (REFL :args _let_62) (REFL :args (_let_8)) _let_61 :args _let_43)) :args ((or _let_8 _let_5 _let_9))) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_58)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_60 _let_54 _let_53) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY _let_60 (INT_TIGHT_UB _let_55) :args _let_59) :args _let_57) :args (_let_56 _let_4 _let_46))) :args (_let_4 _let_46 _let_56))) :args (true _let_58)) (CONG _let_48 _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_22))) (REFL :args _let_57) :args _let_43)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 1)) _let_38 :args (_let_56 true _let_23)) _let_42 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_49)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_54 _let_53) (SCOPE (MACRO_SR_PRED_TRANSFORM _let_55 :args _let_45) :args _let_50)) :args _let_50)) :args (true _let_49)) (CONG _let_48 _let_47 (REFL :args _let_45) :args _let_43)) _let_42 :args (_let_21 false _let_18 false _let_19 true _let_17 false _let_10 true _let_3 true _let_14 false _let_30 false _let_9 true _let_5 true _let_22 true _let_3 true _let_8 true _let_3)))) (let ((_let_89 (and _let_21 _let_24))) (let ((_let_90 (ASSUME :args (_let_21)))) (let ((_let_91 (ASSUME :args (_let_24)))) (let ((_let_92 (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_91 _let_90 :args (_let_78))))) (let ((_let_93 (<= tptp.a 0))) (let ((_let_94 ((or _let_93 _let_8)))) (let ((_let_95 (not _let_93))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_95)) :args ((> tptp.a 0))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_45) :args _let_51) :args ((- 1) 1)) :args _let_67) :args (_let_95 _let_44))) :args _let_94) (REWRITE :args _let_94)) :args ((or _let_8 _let_46))) _let_88 :args (_let_8 false _let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_80 (MACRO_RESOLUTION_TRUST _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args _let_74) :args ((or _let_44 _let_16 _let_73))) _let_96 (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_16)) :args ((< _let_12 0))) _let_31 _let_92 :args (1.0 1.0 (- 1.0))) :args _let_67) :args (_let_30 _let_24 _let_21 _let_16))) :args ((or _let_64 _let_20 _let_46 _let_15))) :args ((or _let_64 _let_46 _let_20 _let_15))) _let_31 _let_88 _let_39 :args (_let_15 false _let_30 false _let_21 true _let_20)) :args (_let_73 false _let_8 false _let_15)) _let_85 :args (_let_86 true _let_17 false _let_18)) (MACRO_RESOLUTION_TRUST _let_72 _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_NEG1 :args _let_62) :args ((or _let_44 (not _let_7) _let_9))) _let_96 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_90) (SCOPE _let_92 :args (_let_24 _let_21))) :args (_let_21 _let_24))) :args (true _let_89)) (CONG (REFL :args _let_52) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_7)) :args _let_43)) _let_88 _let_39 :args (_let_7 false _let_21 true _let_20)) :args (_let_9 false _let_8 false _let_7)) :args (_let_10 true _let_3 false _let_9)) :args (false true _let_19 false _let_10)) :args _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for ARI671_1
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------