TSTP Solution File: ARI678_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI678_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 17:31:44 EDT 2023
% Result : Theorem 0.23s 0.58s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ARI678_1 : TPTP v8.1.2. Released v6.3.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 18:04:30 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.52 %----Proving TF0_ARI
% 0.23/0.58 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9a8ewjPuky/cvc5---1.0.5_6419.p...
% 0.23/0.58 ------- get file name : TPTP file name is ARI678_1
% 0.23/0.58 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6419.smt2...
% 0.23/0.58 --- Run --finite-model-find --decision=internal at 15...
% 0.23/0.58 % SZS status Theorem for ARI678_1
% 0.23/0.58 % SZS output start Proof for ARI678_1
% 0.23/0.58 (
% 0.23/0.58 (let ((_let_1 (* tptp.a tptp.a))) (let ((_let_2 (* _let_1 tptp.a))) (let ((_let_3 (not (>= 1 (* _let_2 tptp.a))))) (let ((_let_4 (<= 0 tptp.a))) (let ((_let_5 (>= 7 _let_2))) (let ((_let_6 (* tptp.a tptp.a tptp.a tptp.a))) (let ((_let_7 (>= _let_6 2))) (let ((_let_8 (= _let_6 0))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (= tptp.a 0))) (let ((_let_11 (>= tptp.a 0))) (let ((_let_12 (>= tptp.a 1))) (let ((_let_13 (= tptp.a 1))) (let ((_let_14 (>= tptp.a 2))) (let ((_let_15 (* tptp.a tptp.a))) (let ((_let_16 (>= _let_15 1))) (let ((_let_17 (and _let_16 _let_14))) (let ((_let_18 (* tptp.a tptp.a tptp.a))) (let ((_let_19 (+ (* 2 _let_15) (* (- 1) _let_18)))) (let ((_let_20 (>= _let_19 1))) (let ((_let_21 (and _let_12 _let_14))) (let ((_let_22 (+ (* 2 tptp.a) (* (- 1) _let_15)))) (let ((_let_23 (>= _let_22 1))) (let ((_let_24 (>= _let_18 8))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (or))) (let ((_let_27 (_let_12))) (let ((_let_28 (not _let_10))) (let ((_let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_10))))) (let ((_let_30 (REFL :args ((not _let_11))))) (let ((_let_31 (and _let_11 _let_28))) (let ((_let_32 (_let_11 _let_28))) (let ((_let_33 (> tptp.a 0))) (let ((_let_34 (ASSUME :args (_let_28)))) (let ((_let_35 (MODUS_PONENS (AND_INTRO _let_25 _let_34) (SCOPE (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_25 _let_34 :args (_let_33))) :args _let_32)))) (let ((_let_36 (or _let_13 (= tptp.a (- 1))))) (let ((_let_37 (not _let_13))) (let ((_let_38 (= _let_6 (- 1)))) (let ((_let_39 (= _let_6 1))) (let ((_let_40 (or _let_39 _let_38))) (let ((_let_41 (not _let_36))) (let ((_let_42 (not _let_40))) (let ((_let_43 (not _let_38))) (let ((_let_44 (_let_38))) (let ((_let_45 (false))) (let ((_let_46 (1.0 (- 1.0)))) (let ((_let_47 (ASSUME :args _let_44))) (let ((_let_48 (not _let_39))) (let ((_let_49 (_let_39))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (- 1))) (let ((_let_52 (or _let_13 (= tptp.a _let_51)))) (let ((_let_53 (=> (and _let_52 _let_52) (or _let_39 (= _let_6 _let_51))))) (let ((_let_54 (_let_14))) (let ((_let_55 (and _let_11 _let_28 _let_37))) (let ((_let_56 (ASSUME :args (_let_37)))) (let ((_let_57 (not _let_14))) (let ((_let_58 (not _let_20))) (let ((_let_59 (* (- 1) (- 2)))) (let ((_let_60 ((=> (and (> _let_1 0) _let_14) (>= _let_2 (* _let_1 _let_59)))))) (let ((_let_61 (>= tptp.a _let_59))) (let ((_let_62 (not _let_23))) (let ((_let_63 ((=> (and _let_33 _let_14) (>= _let_1 (* tptp.a _let_59)))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (not _let_24))) (let ((_let_66 (<= _let_18 7))) (let ((_let_67 (_let_66))) (let ((_let_68 (ASSUME :args (_let_62)))) (let ((_let_69 (ASSUME :args (_let_58)))) (let ((_let_70 (ASSUME :args _let_54))) (let ((_let_71 (_let_10))) (let ((_let_72 (_let_8))) (let ((_let_73 (ASSUME :args _let_72))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_73 _let_9) :args (_let_7 _let_8)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_73 :args _let_72) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_73 _let_9 :args _let_46) :args _let_45) :args _let_72) :args ((not _let_8)))) :args (_let_8 _let_7)) :args ((not (and _let_7 _let_8)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MACRO_SR_PRED_INTRO (ASSUME :args _let_71) :args _let_72) :args _let_71)) :args ((or _let_8 _let_28))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_68 _let_69 _let_70 _let_64) :args (_let_65 _let_14 _let_58 _let_62)) (SCOPE (CONTRA (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_64 :args ((< _let_18 8)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_67) _let_70 (MACRO_SR_PRED_TRANSFORM _let_69 :args ((< _let_19 1))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_68 :args ((< _let_22 1)))) :args (1.0 (- 4.0) 1.0 2.0)) :args _let_45) :args _let_67) :args ((> _let_18 7))) :args ((not _let_66)))) :args (_let_62 _let_58 _let_14 _let_65)) :args ((not (and _let_65 _let_14 _let_58 _let_62)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_24))) (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_20))) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_23))) :args _let_26)) _let_64 (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_POS :args (tptp.a _let_61)) :args _let_63) (REWRITE :args _let_63))) :args ((or _let_62 (not _let_21)))) (REORDERING (CNF_AND_NEG :args (_let_21)) :args ((or (not _let_12) _let_57 _let_21))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_POS :args (_let_1 _let_61)) :args _let_60) (REWRITE :args _let_60))) :args ((or _let_58 (not _let_17)))) (REORDERING (CNF_AND_NEG :args (_let_17)) :args ((or _let_57 (not _let_16) _let_17))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_28 _let_15)) (REWRITE :args ((=> _let_28 (> _let_15 0)))))) (CONG _let_29 (REFL :args (_let_16)) :args _let_26)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_56 _let_35) (SCOPE (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_56 (ASSUME :args _let_27) :args ((> tptp.a 1)))) :args (_let_37 _let_12))) :args (_let_11 _let_28 _let_37))) :args (true _let_55)) (CONG _let_30 _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_13))) (REFL :args _let_54) :args _let_26)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 0)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_53 THEORY_ARITH)) (REWRITE :args (_let_53)))) :args ((or _let_40 _let_41))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_38 _let_42))) (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_50 _let_9) :args (_let_7 _let_39)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_50 :args _let_49) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_50 _let_9 :args _let_46) :args _let_45) :args _let_49) :args (_let_48))) :args (_let_39 _let_7)) :args ((not (and _let_7 _let_39)) SB_LITERAL))) _let_9 :args (_let_48 false _let_7)) (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_9) :args (_let_7 _let_38)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_47 :args _let_44) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_47 _let_9 :args _let_46) :args _let_45) :args _let_44) :args (_let_43))) :args (_let_38 _let_7)) :args ((not (and _let_7 _let_38)) SB_LITERAL))) _let_9 :args (_let_43 false _let_7)) :args (_let_42 true _let_39 true _let_38)) :args (_let_41 true _let_40)) :args (_let_37 true _let_36)) _let_25 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_31)) (IMPLIES_ELIM (SCOPE _let_35 :args _let_32)) :args (true _let_31)) (CONG _let_30 _let_29 (REFL :args _let_27) :args _let_26)) _let_25 :args (_let_10 true _let_24 true _let_23 false _let_21 true _let_20 false _let_17 false _let_16 false _let_14 true _let_13 false _let_11 false _let_12 false _let_11)) :args (_let_8 false _let_10)) _let_9 :args (false false _let_8 false _let_7)) :args (_let_5 _let_4 _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.59 )
% 0.23/0.59 % SZS output end Proof for ARI678_1
% 0.23/0.59 % cvc5---1.0.5 exiting
% 0.23/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------