TSTP Solution File: ARI673_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI673_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 17:31:43 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
% 0.12/0.13 % Problem : ARI673_1 : TPTP v8.1.2. Released v6.3.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n028.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 18:46:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_ARI
% 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.RhAfRx4N28/cvc5---1.0.5_1617.p...
% 0.21/0.53 ------- get file name : TPTP file name is ARI673_1
% 0.21/0.53 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1617.smt2...
% 0.21/0.53 --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.53 % SZS status Theorem for ARI673_1
% 0.21/0.53 % SZS output start Proof for ARI673_1
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (= tptp.a 1))) (let ((_let_2 (= tptp.a (- 1)))) (let ((_let_3 (or _let_2 _let_1))) (let ((_let_4 (not (= (= (* tptp.a tptp.a) 1) _let_3)))) (let ((_let_5 (* tptp.a tptp.a))) (let ((_let_6 (= _let_5 1))) (let ((_let_7 (>= _let_5 (- 1)))) (let ((_let_8 (= _let_5 0))) (let ((_let_9 (= tptp.a 0))) (let ((_let_10 (>= tptp.a (- 1)))) (let ((_let_11 (not _let_10))) (let ((_let_12 (>= tptp.a 2))) (let ((_let_13 (>= tptp.a 0))) (let ((_let_14 (ite _let_13 _let_12 _let_11))) (let ((_let_15 (not _let_9))) (let ((_let_16 (and _let_14 _let_14 _let_15))) (let ((_let_17 (not _let_7))) (let ((_let_18 (>= _let_5 2))) (let ((_let_19 (>= _let_5 0))) (let ((_let_20 (ite _let_19 _let_18 _let_17))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (not _let_1))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (REORDERING (THEORY_LEMMA :args ((or _let_22 _let_6) THEORY_ARITH)) :args ((or _let_6 _let_22))) (REORDERING (CNF_OR_POS :args (_let_3)) :args ((or _let_2 _let_1 (not _let_3)))) (NOT_EQUIV_ELIM1 _let_21) :args ((or _let_2 _let_6) false _let_1 false _let_3)))) (let ((_let_24 (or))) (let ((_let_25 (not _let_6))) (let ((_let_26 (> _let_5 (- 2)))) (let ((_let_27 (ASSUME :args (_let_17)))) (let ((_let_28 ((<= _let_5 (- 2))))) (let ((_let_29 (false))) (let ((_let_30 (_let_6))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_31 (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (REFL :args (0)) (SYMM (SYMM _let_31)) :args (=)) (MACRO_SR_PRED_INTRO :args ((= (= 0 1) false)))) :args ((= _let_8 false)))) :args _let_30)) :args _let_30)))) (let ((_let_33 (_let_9))) (let ((_let_34 (IMPLIES_ELIM (SCOPE (MACRO_SR_PRED_INTRO (ASSUME :args _let_33) :args (_let_8)) :args _let_33)))) (let ((_let_35 (>= tptp.a 1))) (let ((_let_36 (NOT_EQUIV_ELIM2 _let_21))) (let ((_let_37 (not _let_13))) (let ((_let_38 (_let_37))) (let ((_let_39 (not _let_12))) (let ((_let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_12))))) (let ((_let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_9))))) (let ((_let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_1))))) (let ((_let_43 (and _let_22 _let_15 _let_39))) (let ((_let_44 ((< tptp.a 0)))) (let ((_let_45 ((< tptp.a 1)))) (let ((_let_46 (ASSUME :args (_let_39)))) (let ((_let_47 (ASSUME :args (_let_22)))) (let ((_let_48 (ASSUME :args (_let_15)))) (let ((_let_49 (ARITH_TRICHOTOMY _let_48 (INT_TIGHT_UB (ARITH_TRICHOTOMY _let_47 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_46 :args ((< tptp.a 2)))) :args _let_45)) :args _let_44))) (let ((_let_50 (_let_11))) (let ((_let_51 (not _let_2))) (let ((_let_52 (and _let_51 _let_22 _let_15 _let_39))) (let ((_let_53 (ASSUME :args (_let_51)))) (let ((_let_54 (_let_14))) (let ((_let_55 (<= tptp.a 1))) (let ((_let_56 ((or _let_55 _let_35)))) (let ((_let_57 (not _let_35))) (let ((_let_58 (not _let_55))) (let ((_let_59 ((- 1) 1))) (let ((_let_60 (> tptp.a 1))) (let ((_let_61 (<= tptp.a 0))) (let ((_let_62 ((or _let_61 _let_13)))) (let ((_let_63 (not _let_61))) (let ((_let_64 (not _let_14))) (let ((_let_65 (REFL :args (_let_64)))) (let ((_let_66 (_let_16))) (let ((_let_67 (- 1))) (let ((_let_68 (- _let_5))) (let ((_let_69 (>= 1 0))) (let ((_let_70 (- tptp.a))) (let ((_let_71 (ite _let_13 (ite _let_69 _let_60 (> tptp.a _let_67)) (ite _let_69 (> _let_70 1) (> _let_70 _let_67))))) (let ((_let_72 (=> (and _let_71 _let_71 _let_15) (ite _let_19 (ite _let_69 (> _let_5 1) (> _let_5 _let_67)) (ite _let_69 (> _let_68 1) (> _let_68 _let_67)))))) (let ((_let_73 (< _let_5 2))) (let ((_let_74 (_let_18))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_75 _let_31) :args (_let_6 _let_18)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_75 _let_31 :args ((- 1.0) 1.0)) :args _let_29) :args _let_74) :args (_let_73)) (MACRO_SR_PRED_TRANSFORM _let_75 :args ((not _let_73)))) :args (_let_18 _let_6)) :args ((not (and _let_6 _let_18)) SB_LITERAL))) (REORDERING (CNF_ITE_POS3 :args (_let_20)) :args ((or _let_18 _let_17 (not _let_20)))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_72 THEORY_ARITH)) (REWRITE :args (_let_72)))) :args ((or _let_20 (not _let_16)))) (REORDERING (FACTORING (EQ_RESOLVE (CNF_AND_NEG :args _let_66) (CONG (REFL :args _let_66) _let_65 _let_65 _let_41 :args _let_24))) :args ((or _let_9 _let_16 _let_64))) (MACRO_RESOLUTION_TRUST (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_63)) :args ((> tptp.a 0))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_38) :args _let_44) :args _let_59) :args _let_29) :args (_let_63 _let_37))) :args _let_62) (REWRITE :args _let_62)) (REORDERING (CNF_ITE_NEG1 :args _let_54) :args ((or _let_39 _let_37 _let_14))) (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_58)) :args (_let_60)) (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_57)) :args _let_45) :args _let_59) :args _let_29) :args (_let_58 _let_57))) :args _let_56) (REWRITE :args _let_56)) :args ((or _let_35 _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_ITE_NEG2 :args _let_54) (CONG (REFL :args _let_54) (REFL :args (_let_13)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_24)) :args ((or _let_13 _let_10 _let_14))) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_48 _let_47 _let_46) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY _let_53 (INT_TIGHT_UB _let_49) :args ((< tptp.a (- 1)))) :args _let_50) :args (_let_51 _let_15 _let_22 _let_39))) :args (_let_51 _let_22 _let_15 _let_39))) :args (true _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_2))) _let_42 _let_41 _let_40 (REFL :args _let_50) :args _let_24)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_48 _let_47 _let_46) (SCOPE (MACRO_SR_PRED_TRANSFORM _let_49 :args _let_38) :args (_let_15 _let_22 _let_39))) :args (_let_22 _let_15 _let_39))) :args (true _let_43)) (CONG _let_42 _let_41 _let_40 (REFL :args _let_38) :args _let_24)) (CNF_OR_NEG :args (_let_3 1)) _let_36 _let_34 _let_32 _let_23 :args ((or _let_2 _let_12 _let_14) true _let_10 true _let_13 true _let_1 true _let_3 true _let_9 true _let_8 false _let_6)) :args ((or _let_2 _let_14) true _let_13 false _let_35 false _let_12)) _let_34 _let_32 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_27 _let_31) :args (_let_6 _let_17)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_28) _let_31 :args (1.0 (- 1.0))) :args _let_29) :args _let_28) :args (_let_26)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_27 :args ((< _let_5 (- 1))))) :args ((not _let_26)))) :args (_let_17 _let_6)) :args ((not (and _let_6 _let_17)) SB_LITERAL))) (CONG (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_7))) :args _let_24)) _let_23 :args (_let_2 false _let_18 false _let_20 false _let_16 false _let_14 true _let_9 true _let_8 false _let_7 false _let_6)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (THEORY_LEMMA :args ((or _let_51 _let_6) THEORY_ARITH)) :args ((or _let_6 _let_51))) (MACRO_RESOLUTION_TRUST _let_36 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_3 0)) _let_76 :args (_let_3 false _let_2)) :args (_let_25 false _let_3)) _let_76 :args (false true _let_6 false _let_2)) :args (_let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for ARI673_1
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------