TSTP Solution File: DAT008_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : DAT008_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 22:10:17 EDT 2023
% Result : Theorem 0.19s 0.58s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT008_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 14:53:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_ARI
% 0.19/0.58 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VzvhAsVAFQ/cvc5---1.0.5_18306.p...
% 0.19/0.58 ------- get file name : TPTP file name is DAT008_1
% 0.19/0.58 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18306.smt2...
% 0.19/0.58 --- Run --finite-model-find --decision=internal at 15...
% 0.19/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.19/0.58 % SZS status Theorem for DAT008_1
% 0.19/0.58 % SZS output start Proof for DAT008_1
% 0.19/0.58 (
% 0.19/0.58 (let ((_let_1 (not (forall ((U tptp.array) (V tptp.array)) (=> (and (forall ((W Int)) (> (tptp.read V W) W)) (= U (tptp.write (tptp.write V 3 5) 7 9))) (forall ((X Int)) (> (tptp.read U X) X))))))) (let ((_let_2 (forall ((X tptp.array) (Y Int) (Z Int) (X1 Int)) (or (= Y Z) (= (tptp.read (tptp.write X Y X1) Z) (tptp.read X Z)))))) (let ((_let_3 (forall ((U tptp.array) (V Int) (W Int)) (= (tptp.read (tptp.write U V W) V) W)))) (let ((_let_4 (tptp.write SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 3 5))) (let ((_let_5 (tptp.write _let_4 7 9))) (let ((_let_6 (tptp.read _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) _let_6)))) (let ((_let_8 (>= _let_7 0))) (let ((_let_9 (tptp.read _let_4 3))) (let ((_let_10 (= _let_9 5))) (let ((_let_11 (tptp.read _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (= _let_6 _let_11))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 3))) (let ((_let_14 (not _let_8))) (let ((_let_15 (forall ((W Int)) (not (>= (+ W (* (- 1) (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 W))) 0))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14))) (let ((_let_18 (forall ((V tptp.array) (BOUND_VARIABLE_654 Int)) (or (not (forall ((W Int)) (not (>= (+ W (* (- 1) (tptp.read V W))) 0)))) (not (>= (+ BOUND_VARIABLE_654 (* (- 1) (tptp.read (tptp.write (tptp.write V 3 5) 7 9) BOUND_VARIABLE_654))) 0)))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (or))) (let ((_let_22 (not _let_18))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_20) :args (_let_22))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) (REFL :args (_let_19)) :args _let_21)) _let_20 :args (_let_19 true _let_18)))) (let ((_let_24 (REFL :args (_let_17)))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 1)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_8))) :args _let_21)) :args ((or _let_8 _let_17))) _let_23 :args (_let_8 true _let_17)))) (let ((_let_26 (forall ((U tptp.array) (V Int) (W Int)) (= W (tptp.read (tptp.write U V W) V))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 ((tptp.write U V W)))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 7))) (let ((_let_31 (or _let_30 _let_12))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((tptp.read (tptp.write X Y X1) Z)))) (let ((_let_35 (tptp.read _let_5 7))) (let ((_let_36 (= _let_35 9))) (let ((_let_37 (= 9 _let_6))) (let ((_let_38 (_let_14))) (let ((_let_39 (_let_8))) (let ((_let_40 (false))) (let ((_let_41 ((- 1.0) (- 1.0) 1.0))) (let ((_let_42 (_let_30))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (ASSUME :args _let_39))) (let ((_let_45 (= 9 _let_35))) (let ((_let_46 (= 7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_47 (APPLY_UF tptp.read))) (let ((_let_48 (_let_36))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_12 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_43 (MODUS_PONENS (AND_INTRO (MODUS_PONENS _let_43 (SCOPE (SYMM _let_43) :args _let_42)) (MODUS_PONENS _let_49 (SCOPE (SYMM _let_49) :args _let_48))) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_45)))) (CONG (REFL :args (_let_5)) (SYMM (SYMM (ASSUME :args (_let_46)))) :args _let_47)) :args (_let_46 _let_45))) _let_44) :args (_let_8 _let_36 _let_30)) (SCOPE (CONTRA _let_44 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_44 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_37)) :args ((= _let_6 9))) _let_43 :args _let_41) :args _let_40) :args _let_39) :args ((< _let_7 0))) :args _let_38)) :args (_let_30 _let_37 _let_8)) :args ((not (and _let_8 _let_36 _let_30)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_4 7 9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28))) _let_27 :args (_let_36 false _let_26)) _let_25 :args ((not _let_30) false _let_36 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_4 7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 9 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32))) _let_33 :args (_let_31 false _let_2)) :args (_let_12 true _let_30 false _let_31)))) (let ((_let_51 (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (= _let_11 _let_51))) (let ((_let_53 (or _let_13 _let_52))) (let ((_let_54 (* (- 1) _let_51))) (let ((_let_55 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_54))) (let ((_let_56 (>= _let_55 0))) (let ((_let_57 (not _let_52))) (let ((_let_58 (not _let_56))) (let ((_let_59 (_let_15))) (let ((_let_60 (= _let_6 _let_51))) (let ((_let_61 (= (+ _let_6 _let_54) 0))) (let ((_let_62 ((not _let_61)))) (let ((_let_63 (_let_61))) (let ((_let_64 (ASSUME :args (_let_58)))) (let ((_let_65 (ASSUME :args (_let_52)))) (let ((_let_66 (ASSUME :args (_let_12)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (= 5 _let_6))) (let ((_let_69 (= _let_6 5))) (let ((_let_70 ((not _let_69)))) (let ((_let_71 (_let_69))) (let ((_let_72 (_let_13))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (= 5 _let_9))) (let ((_let_75 (= 3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_76 (_let_10))) (let ((_let_77 (ASSUME :args _let_76))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_73 _let_44 (MODUS_PONENS (AND_INTRO _let_66 (MODUS_PONENS _let_73 (SCOPE (SYMM _let_73) :args _let_72)) (MODUS_PONENS _let_77 (SCOPE (SYMM _let_77) :args _let_76))) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_74)))) (CONG (REFL :args (_let_4)) (SYMM (SYMM (ASSUME :args (_let_75)))) :args _let_47) _let_67) :args (_let_12 _let_75 _let_74)))) :args (_let_8 _let_10 _let_12 _let_13)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_68)) :args _let_71) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_71) _let_44 _let_73 :args _let_41) :args _let_40) :args _let_71) :args _let_70) :args _let_70)) :args (_let_13 _let_8 _let_68)) :args ((not (and _let_8 _let_10 _let_12 _let_13)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_13 (not _let_53)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_64 _let_44 (MODUS_PONENS (AND_INTRO _let_65 _let_66) (SCOPE (TRANS (SYMM _let_67) (SYMM (SYMM _let_65))) :args (_let_52 _let_12)))) :args (_let_8 _let_12 _let_52 _let_58)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_60)) :args _let_63) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_63) _let_44 (MACRO_SR_PRED_TRANSFORM _let_64 :args ((< _let_55 0))) :args _let_41) :args _let_40) :args _let_63) :args _let_62) :args _let_62)) :args (_let_58 _let_8 _let_60)) :args ((not (and _let_8 _let_12 _let_52 _let_58)) SB_LITERAL))) (CONG (REFL :args _let_38) (REFL :args ((not _let_12))) (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_56))) :args _let_21)) _let_25 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 W)))) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 0)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_21)) :args ((or _let_15 _let_17))) _let_23 :args (_let_15 true _let_17)) :args (_let_58 false _let_15)) :args (_let_57 false _let_8 false _let_12 true _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 5 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32))) _let_33 :args (_let_53 false _let_2)) :args (_let_13 true _let_52 false _let_53)) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 3 5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28))) _let_27 :args (_let_10 false _let_26)) _let_25 :args (false false _let_13 false _let_12 false _let_10 false _let_8)) :args (_let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.58 )
% 0.19/0.58 % SZS output end Proof for DAT008_1
% 0.19/0.58 % cvc5---1.0.5 exiting
% 0.19/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------