TSTP Solution File: SYN726+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN726+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 : Fri Sep 1 02:04:47 EDT 2023
% Result : Theorem 0.22s 0.56s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN726+1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 20:32:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.56 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xENN3CrTTZ/cvc5---1.0.5_1191.p...
% 0.22/0.56 ------- get file name : TPTP file name is SYN726+1
% 0.22/0.56 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1191.smt2...
% 0.22/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.56 % SZS status Theorem for SYN726+1
% 0.22/0.56 % SZS output start Proof for SYN726+1
% 0.22/0.56 (
% 0.22/0.56 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.q X Y)))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.p X Y)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.p X Y) (tptp.q X Y))))) (let ((_let_4 (not (or (=> (and (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.p X Y) (tptp.p Y Z)) (tptp.p X Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.q X Y) (tptp.q Y Z)) (tptp.q X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.q X Y) (tptp.q Y X))) _let_3) _let_2) _let_1)))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.p X Y)) (not (tptp.p Y Z)) (tptp.p X Z))))) (let ((_let_6 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8 _let_6))) (let ((_let_12 (0))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (NOT_OR_ELIM _let_13 :args _let_12))) (let ((_let_15 (NOT_IMPLIES_ELIM1 _let_14))) (let ((_let_16 (AND_ELIM _let_15 :args _let_12))) (let ((_let_17 (not _let_11))) (let ((_let_18 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (or _let_7 _let_18))) (let ((_let_20 (AND_ELIM _let_15 :args (3)))) (let ((_let_21 (_let_3))) (let ((_let_22 ((not (= (tptp.q X Y) true))))) (let ((_let_23 (ASSUME :args _let_21))) (let ((_let_24 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (not _let_18))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.q X Y)) (tptp.q Y X))))) (let ((_let_28 (AND_ELIM _let_15 :args (2)))) (let ((_let_29 (_let_27))) (let ((_let_30 ((not (= (tptp.q Y X) true))))) (let ((_let_31 (ASSUME :args _let_29))) (let ((_let_32 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_33 (not _let_24))) (let ((_let_34 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_32))) (let ((_let_37 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.q X Y)) (not (tptp.q Y Z)) (tptp.q X Z))))) (let ((_let_38 (1))) (let ((_let_39 (AND_ELIM _let_15 :args _let_38))) (let ((_let_40 (_let_37))) (let ((_let_41 ((not (= (tptp.q X Z) true)) (not (= (tptp.q X Y) false))))) (let ((_let_42 (ASSUME :args _let_40))) (let ((_let_43 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (not _let_32))) (let ((_let_45 (or _let_44 _let_43))) (let ((_let_46 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_47 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_48 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_49 (not _let_48))) (let ((_let_50 (not _let_43))) (let ((_let_51 (or _let_50 _let_49 _let_47))) (let ((_let_52 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_35 _let_53 _let_48))) (let ((_let_55 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_49 _let_52))) (let ((_let_58 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_52))) (let ((_let_61 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_62 (or _let_61 _let_48))) (let ((_let_63 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_64 (or _let_63 _let_58))) (let ((_let_65 (not _let_63))) (let ((_let_66 (not _let_61))) (let ((_let_67 (or _let_66 _let_65 _let_6))) (let ((_let_68 (or _let_35 _let_55))) (let ((_let_69 (or _let_6 _let_34))) (let ((_let_70 ((not (= (tptp.p X Y) true))))) (let ((_let_71 (not _let_6))) (let ((_let_72 (or))) (let ((_let_73 (not _let_2))) (let ((_let_74 (_let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_2))) (REFL :args (_let_71)) :args _let_72)) (NOT_IMPLIES_ELIM2 _let_14) :args (_let_71 true _let_2)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_6 _let_34 (not _let_69)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_21)) _let_20 :args (_let_69 false _let_3)) :args (_let_34 true _let_6 false _let_69)))) (let ((_let_77 (_let_5))) (let ((_let_78 ((not (= (tptp.p Y Z) false)) (not (= (tptp.p X Z) true))))) (let ((_let_79 (ASSUME :args _let_77))) (let ((_let_80 (not _let_47))) (let ((_let_81 (not _let_1))) (let ((_let_82 (_let_81))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_43 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_47 _let_50 _let_49 (not _let_51)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_82)) :args _let_82)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_1))) (REFL :args (_let_80)) :args _let_72)) (NOT_OR_ELIM _let_13 :args _let_38) :args (_let_80 true _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_35 _let_48 _let_53 (not _let_54)))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_6 _let_66 _let_65 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_77)) _let_16 :args (_let_67 false _let_5)) _let_75 (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_58 _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_21)) _let_20 :args (_let_64 false _let_3)) (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_48 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_21)) _let_20 :args (_let_62 false _let_3)) (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_52 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_60 false _let_27)) (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_49 _let_52 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) _let_39 :args (_let_57 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_35 _let_55 (not _let_68)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.q X Y) false))))) :args _let_29)) _let_28 :args (_let_68 false _let_27)) :args (_let_55 false _let_34 false _let_68)) :args (_let_52 false _let_67 true _let_6 false _let_63 false _let_64 false _let_61 false _let_62 true _let_58 false _let_60 true _let_48 false _let_57 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) _let_39 :args (_let_54 false _let_37)) :args (_let_48 false _let_34 false _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) _let_39 :args (_let_51 false _let_37)) :args (_let_50 true _let_47 false _let_48 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_46) :args _let_29)) _let_28 :args (_let_45 false _let_27)) :args (_let_44 true _let_43 false _let_45)))) (let ((_let_84 (or _let_9 _let_32))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_6 _let_10 _let_8 _let_17))) _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_32 _let_9 (not _let_84)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args _let_46) :args _let_21)) _let_20 :args (_let_84 false _let_3)) :args (_let_9 true _let_32 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_7 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_24 _let_25 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_32 _let_33 (not _let_36)))) _let_76 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) _let_39 :args (_let_36 false _let_37)) :args (_let_33 false _let_34 true _let_32 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_26 false _let_27)) :args (_let_25 true _let_24 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_21)) _let_20 :args (_let_19 false _let_3)) :args (_let_7 true _let_18 false _let_19)) :args (_let_17 true _let_6 false _let_9 false _let_7)) _let_16 :args (false true _let_11 false _let_5)) :args (_let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.57 )
% 0.22/0.57 % SZS output end Proof for SYN726+1
% 0.22/0.57 % cvc5---1.0.5 exiting
% 0.22/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------