TSTP Solution File: ARI669_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI669_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI669_1 : TPTP v8.1.2. Released v6.3.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 18:21:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_ARI
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GvIuSEZFBG/cvc5---1.0.5_3418.p...
% 0.20/0.53 ------- get file name : TPTP file name is ARI669_1
% 0.20/0.53 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3418.smt2...
% 0.20/0.53 --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.53 % SZS status Theorem for ARI669_1
% 0.20/0.53 % SZS output start Proof for ARI669_1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (= tptp.a 0))) (let ((_let_2 (= tptp.b 0))) (let ((_let_3 (= tptp.c 0))) (let ((_let_4 (or _let_3 _let_2 _let_1))) (let ((_let_5 (not (= (= (* (* (* tptp.a tptp.b) tptp.b) tptp.c) 0) _let_4)))) (let ((_let_6 (* tptp.a tptp.b tptp.b tptp.c))) (let ((_let_7 (= _let_6 0))) (let ((_let_8 (>= _let_6 1))) (let ((_let_9 (>= _let_6 0))) (let ((_let_10 (>= tptp.c 0))) (let ((_let_11 (not _let_10))) (let ((_let_12 (not _let_2))) (let ((_let_13 (>= tptp.a 0))) (let ((_let_14 (not _let_13))) (let ((_let_15 (and _let_14 _let_12 _let_11))) (let ((_let_16 (>= tptp.a 1))) (let ((_let_17 (and _let_16 _let_12 _let_11))) (let ((_let_18 (>= tptp.c 1))) (let ((_let_19 (and _let_14 _let_12 _let_18))) (let ((_let_20 (and _let_16 _let_12 _let_18))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (not _let_1))) (let ((_let_23 (NOT_EQUIV_ELIM2 _let_21))) (let ((_let_24 (_let_7))) (let ((_let_25 (_let_8))) (let ((_let_26 (false))) (let ((_let_27 (ASSUME :args _let_24))) (let ((_let_28 (or))) (let ((_let_29 (not _let_9))) (let ((_let_30 (not _let_7))) (let ((_let_31 (> _let_6 (- 1)))) (let ((_let_32 (ASSUME :args (_let_29)))) (let ((_let_33 ((<= _let_6 (- 1))))) (let ((_let_34 (> _let_6 0))) (let ((_let_35 (< tptp.c 0))) (let ((_let_36 (< tptp.a 0))) (let ((_let_37 (> 0 _let_6))) (let ((_let_38 (> tptp.a 0))) (let ((_let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))))) (let ((_let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_2))))) (let ((_let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))))) (let ((_let_42 (_let_15))) (let ((_let_43 (not _let_16))) (let ((_let_44 (_let_43))) (let ((_let_45 (REFL :args _let_44))) (let ((_let_46 (_let_17))) (let ((_let_47 (ASSUME :args _let_44))) (let ((_let_48 (ASSUME :args (_let_13)))) (let ((_let_49 (ASSUME :args (_let_22)))) (let ((_let_50 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_49 _let_48) :args (_let_22 _let_13 _let_43)) (SCOPE (CONTRA (ARITH_TRICHOTOMY _let_49 _let_48 :args (_let_38)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_47 :args ((< tptp.a 1)))) :args ((not _let_38)))) :args (_let_43 _let_22 _let_13)) :args ((not (and _let_22 _let_13 _let_43)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_1))) (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_16))) :args _let_28)) :args ((or _let_1 _let_16 _let_14))))) (let ((_let_51 (not _let_3))) (let ((_let_52 (and _let_51 _let_10))) (let ((_let_53 (_let_51 _let_10))) (let ((_let_54 (> tptp.c 0))) (let ((_let_55 (ASSUME :args (_let_10)))) (let ((_let_56 (ASSUME :args (_let_51)))) (let ((_let_57 (not _let_18))) (let ((_let_58 (REFL :args (_let_57)))) (let ((_let_59 (_let_19))) (let ((_let_60 (_let_20))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_38 _let_12 _let_54 _let_6)) (REWRITE :args ((=> (and _let_38 _let_12 _let_54) _let_34))))) :args ((or _let_8 (not _let_20)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_60) (CONG (REFL :args _let_60) _let_45 _let_40 _let_58 :args _let_28)) :args ((or _let_2 _let_57 _let_43 _let_20))) _let_50 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_59) (CONG (REFL :args _let_59) _let_41 _let_40 _let_58 :args _let_28)) :args ((or _let_2 _let_57 _let_13 _let_19))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_36 _let_12 _let_54 _let_6)) (REWRITE :args ((=> (and _let_36 _let_12 _let_54) _let_37))))) :args ((or _let_29 (not _let_19)))) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_56 _let_55) (SCOPE (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_56 _let_55 :args (_let_54))) :args _let_53)) :args _let_53)) :args (true _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_3))) (REFL :args (_let_11)) (REFL :args (_let_18)) :args _let_28)) :args ((or _let_3 _let_18 _let_11))) (MACRO_RESOLUTION_TRUST _let_50 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_46) (CONG (REFL :args _let_46) _let_45 _let_40 _let_39 :args _let_28)) :args ((or _let_2 _let_10 _let_43 _let_17))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_42) (CONG (REFL :args _let_42) _let_41 _let_40 _let_39 :args _let_28)) :args ((or _let_2 _let_10 _let_13 _let_15))) :args ((or _let_2 _let_1 _let_10 _let_15 _let_17) true _let_16 false _let_13)) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_38 _let_12 _let_35 _let_6)) (REWRITE :args ((=> (and _let_38 _let_12 _let_35) _let_37))))) :args ((or _let_29 (not _let_17)))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_36 _let_12 _let_35 _let_6)) (REWRITE :args ((=> (and _let_36 _let_12 _let_35) _let_34))))) :args ((or _let_8 (not _let_15)))) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_32 _let_27) :args (_let_7 _let_29)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_33) _let_27 :args (1.0 (- 1.0))) :args _let_26) :args _let_33) :args (_let_31)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_32 :args ((< _let_6 0)))) :args ((not _let_31)))) :args (_let_29 _let_7)) :args ((not (and _let_7 _let_29)) SB_LITERAL))) (CONG (REFL :args (_let_30)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_9))) :args _let_28)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_27 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_25) _let_27 :args ((- 1.0) 1.0)) :args _let_26) :args _let_25) :args ((< _let_6 1))) :args ((not _let_8))) :args _let_24)) :args _let_24)) (CNF_OR_NEG :args (_let_4 2)) (CNF_OR_NEG :args (_let_4 1)) _let_23 (MACRO_RESOLUTION_TRUST (REORDERING (THEORY_LEMMA :args ((or _let_22 _let_7) THEORY_ARITH)) :args ((or _let_7 _let_22))) (REORDERING (CNF_OR_POS :args (_let_4)) :args ((or _let_3 _let_2 _let_1 (not _let_4)))) (REORDERING (THEORY_LEMMA :args ((or _let_12 _let_7) THEORY_ARITH)) :args ((or _let_7 _let_12))) (NOT_EQUIV_ELIM1 _let_21) :args ((or _let_3 _let_7) false _let_1 true _let_2 false _let_4)) :args (_let_3 false _let_20 false _let_16 false _let_13 true _let_19 false _let_18 false _let_10 true _let_17 true _let_15 false _let_9 true _let_8 true _let_1 true _let_2 true _let_4 false _let_7)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (THEORY_LEMMA :args ((or _let_51 _let_7) THEORY_ARITH)) :args ((or _let_7 _let_51))) (MACRO_RESOLUTION_TRUST _let_23 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_4 0)) _let_61 :args (_let_4 false _let_3)) :args (_let_30 false _let_4)) _let_61 :args (false true _let_7 false _let_3)) :args (_let_5 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for ARI669_1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.36/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------