TSTP Solution File: ARI670_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI670_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 0.15s 0.46s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ARI670_1 : TPTP v8.1.2. Released v6.3.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 18:56:06 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.42 %----Proving TF0_ARI
% 0.15/0.46 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.GUVbBk5JOR/cvc5---1.0.5_15090.p...
% 0.15/0.46 ------- get file name : TPTP file name is ARI670_1
% 0.15/0.46 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15090.smt2...
% 0.15/0.46 --- Run --finite-model-find --decision=internal at 15...
% 0.15/0.46 % SZS status Theorem for ARI670_1
% 0.15/0.46 % SZS output start Proof for ARI670_1
% 0.15/0.46 (
% 0.15/0.46 (let ((_let_1 (not (<= tptp.a (* tptp.a tptp.a))))) (let ((_let_2 (* tptp.a tptp.a))) (let ((_let_3 (>= _let_2 0))) (let ((_let_4 (= _let_2 0))) (let ((_let_5 (= tptp.a 0))) (let ((_let_6 (+ tptp.a (* (- 1) _let_2)))) (let ((_let_7 (>= _let_6 1))) (let ((_let_8 (not _let_3))) (let ((_let_9 (>= _let_2 1))) (let ((_let_10 (>= tptp.a 0))) (let ((_let_11 (>= tptp.a 2))) (let ((_let_12 (>= _let_2 (- 1)))) (let ((_let_13 (>= _let_6 0))) (let ((_let_14 (+ tptp.a _let_2))) (let ((_let_15 (not _let_13))) (let ((_let_16 (ite _let_10 _let_15 (>= _let_14 1)))) (let ((_let_17 (ite _let_10 _let_11 (not (>= tptp.a (- 1)))))) (let ((_let_18 (not _let_5))) (let ((_let_19 (and _let_17 _let_17 _let_18))) (let ((_let_20 (and _let_17 _let_18))) (let ((_let_21 (not _let_12))) (let ((_let_22 (ite _let_3 (>= _let_2 2) _let_21))) (let ((_let_23 (ite _let_3 _let_16 (ite _let_10 (not (>= _let_14 0)) _let_7)))) (let ((_let_24 (or))) (let ((_let_25 (_let_9))) (let ((_let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_5))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (not _let_10))) (let ((_let_29 (not _let_9))) (let ((_let_30 (REFL :args (_let_29)))) (let ((_let_31 (not _let_7))) (let ((_let_32 (REFL :args (_let_31)))) (let ((_let_33 (< tptp.a 0))) (let ((_let_34 (_let_33))) (let ((_let_35 (false))) (let ((_let_36 (1.0 (- 1.0) (- 1.0)))) (let ((_let_37 (ASSUME :args _let_25))) (let ((_let_38 (not _let_11))) (let ((_let_39 (> _let_2 (- 2)))) (let ((_let_40 (ASSUME :args (_let_21)))) (let ((_let_41 ((<= _let_2 (- 2))))) (let ((_let_42 (1.0 (- 1.0)))) (let ((_let_43 (> _let_6 (- 1)))) (let ((_let_44 (ASSUME :args (_let_15)))) (let ((_let_45 ((<= _let_6 (- 1))))) (let ((_let_46 (not _let_17))) (let ((_let_47 (REFL :args (_let_46)))) (let ((_let_48 (_let_19))) (let ((_let_49 (_let_20))) (let ((_let_50 (- 1))) (let ((_let_51 (- _let_2))) (let ((_let_52 (>= 1 0))) (let ((_let_53 (- tptp.a))) (let ((_let_54 (ite _let_10 (ite _let_52 (> tptp.a 1) (> tptp.a _let_50)) (ite _let_52 (> _let_53 1) (> _let_53 _let_50))))) (let ((_let_55 (=> (and _let_54 _let_54 _let_18) (ite _let_3 (ite _let_52 (> _let_2 1) (> _let_2 _let_50)) (ite _let_52 (> _let_51 1) (> _let_51 _let_50)))))) (let ((_let_56 (=> (and _let_54 _let_18) (ite _let_3 (ite _let_10 (> _let_2 tptp.a) (> _let_2 _let_53)) (ite _let_10 (> _let_51 tptp.a) (> _let_51 _let_53)))))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_23)) :args ((or _let_8 _let_16 (not _let_23)))) (REORDERING (CNF_ITE_POS2 :args (_let_22)) :args ((or _let_3 _let_21 (not _let_22)))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_56 THEORY_ARITH)) (REWRITE :args (_let_56)))) :args ((or _let_23 (not _let_20)))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_55 THEORY_ARITH)) (REWRITE :args (_let_55)))) :args ((or _let_22 (not _let_19)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_49) (CONG (REFL :args _let_49) _let_47 _let_26 :args _let_24)) :args ((or _let_5 _let_46 _let_20))) (REORDERING (FACTORING (EQ_RESOLVE (CNF_AND_NEG :args _let_48) (CONG (REFL :args _let_48) _let_47 _let_47 _let_26 :args _let_24))) :args ((or _let_5 _let_19 _let_46))) (REORDERING (CNF_ITE_NEG1 :args (_let_17)) :args ((or _let_38 _let_28 _let_17))) (REORDERING (CNF_ITE_POS1 :args (_let_16)) :args ((or _let_28 _let_15 (not _let_16)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_44 _let_27) :args (_let_7 _let_15)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_45) _let_27 :args _let_42) :args _let_35) :args _let_45) :args (_let_43)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_44 :args ((< _let_6 0)))) :args ((not _let_43)))) :args (_let_15 _let_7)) :args ((not (and _let_7 _let_15)) SB_LITERAL))) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_13))) :args _let_24)) _let_27 :args (_let_13 false _let_7)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_40 _let_37) :args (_let_9 _let_21)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_41) _let_37 :args _let_42) :args _let_35) :args _let_41) :args (_let_39)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_40 :args ((< _let_2 (- 1))))) :args ((not _let_39)))) :args (_let_21 _let_9)) :args ((not (and _let_9 _let_21)) SB_LITERAL))) (CONG _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_12))) :args _let_24)) (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_38)) :args ((< tptp.a 2))) _let_27 _let_37 :args _let_36) :args _let_35) :args (_let_7 _let_9 _let_38))) :args ((or _let_31 _let_29 _let_11))) _let_27 (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_28)) :args _let_34) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_34) _let_37 _let_27 :args _let_36) :args _let_35) :args _let_34) :args (_let_10)) :args ((not _let_33)))) :args (_let_7 _let_9 _let_28))) (CONG _let_32 _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_10))) :args _let_24)) _let_27 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_18 _let_2)) (REWRITE :args ((=> _let_18 (> _let_2 0)))))) (CONG _let_26 (REFL :args _let_25) :args _let_24)) :args (_let_5 false _let_3 false _let_23 false _let_22 false _let_20 false _let_19 false _let_17 true _let_16 false _let_13 false _let_12 false _let_11 false _let_7 false _let_10 false _let_7 false _let_9)))) (let ((_let_58 (_let_3))) (let ((_let_59 ((not _let_4)))) (let ((_let_60 (_let_4))) (let ((_let_61 (ASSUME :args (_let_8)))) (let ((_let_62 (ASSUME :args _let_60))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_62 _let_61) :args (_let_8 _let_4)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_62 :args _let_60) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_62 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_61 :args ((< _let_2 0)))) :args ((- 1.0) 1.0)) :args _let_35) :args _let_60) :args _let_59)) :args (_let_4 _let_8)) :args ((not (and _let_8 _let_4)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_3))) (REFL :args _let_59) :args _let_24)) (MACRO_RESOLUTION_TRUST (THEORY_LEMMA :args ((or _let_18 _let_4) THEORY_ARITH)) _let_57 :args (_let_4 false _let_5)) (MACRO_RESOLUTION_TRUST (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_58) _let_27 (ASSUME :args (_let_5)) :args ((- 1.0) (- 1.0) 1.0)) :args _let_35) :args (_let_7 _let_5 _let_3))) :args ((or _let_31 _let_18 _let_8))) _let_27 _let_57 :args (_let_8 false _let_7 false _let_5)) :args (false false _let_4 true _let_3)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.15/0.46 )
% 0.15/0.46 % SZS output end Proof for ARI670_1
% 0.15/0.46 % cvc5---1.0.5 exiting
% 0.15/0.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------