TSTP Solution File: SYO605+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO605+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 04:16:41 EDT 2023
% Result : Theorem 10.72s 10.95s
% Output : Proof 10.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO605+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 02:59:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 10.72/10.95 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.67GcmbrqWf/cvc5---1.0.5_13316.p...
% 10.72/10.95 ------- get file name : TPTP file name is SYO605+1
% 10.72/10.95 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13316.smt2...
% 10.72/10.95 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.72/10.95 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.72/10.95 % SZS status Theorem for SYO605+1
% 10.72/10.95 % SZS output start Proof for SYO605+1
% 10.72/10.95 (
% 10.72/10.95 (let ((_let_1 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (or (tptp.g_true_only X_2 X_1) (tptp.g_both X_2 X_1) (tptp.g_false_only X_2 X_1))))) (let ((_let_2 (not (or (forall ((A $$unsorted)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.g_both B B))) (let ((_let_2 (tptp.g_true_only B B))) (let ((_let_3 (tptp.g_false_only B B))) (or (and (tptp.g_true_only B A) (or _let_1 _let_3)) (and (tptp.g_both B A) (or _let_2 _let_3)) (and (tptp.g_false_only B A) (or _let_2 _let_1)))))))) (exists ((B $$unsorted)) (forall ((A $$unsorted)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.g_both C B))) (let ((_let_2 (tptp.g_false_only C B))) (let ((_let_3 (tptp.g_true_only C B))) (or (and (tptp.g_true_only C A) (or _let_1 _let_3)) (and (tptp.g_both C A) (or _let_2 _let_3)) (and (tptp.g_false_only C A) (or _let_2 _let_1))))))))) (and (exists ((A $$unsorted)) (and (exists ((B $$unsorted)) (and (tptp.g_both B A) (tptp.g_both B B))) (not (exists ((B $$unsorted)) (let ((_let_1 (tptp.g_both B B))) (let ((_let_2 (tptp.g_true_only B B))) (let ((_let_3 (tptp.g_false_only B B))) (or (and (tptp.g_true_only B A) (or _let_1 _let_3)) (and (tptp.g_both B A) (or _let_2 _let_3)) (and (tptp.g_false_only B A) (or _let_2 _let_1)))))))))) (not (exists ((A $$unsorted)) (forall ((B $$unsorted)) (or (and (tptp.g_true_only B A) (tptp.g_true_only B B)) (and (tptp.g_false_only B A) (tptp.g_false_only B B)))))) (exists ((B $$unsorted)) (and (exists ((A $$unsorted)) (and (exists ((C $$unsorted)) (and (tptp.g_both C A) (tptp.g_both C B))) (not (exists ((C $$unsorted)) (let ((_let_1 (tptp.g_both C B))) (let ((_let_2 (tptp.g_false_only C B))) (let ((_let_3 (tptp.g_true_only C B))) (or (and (tptp.g_true_only C A) (or _let_1 _let_3)) (and (tptp.g_both C A) (or _let_2 _let_3)) (and (tptp.g_false_only C A) (or _let_2 _let_1)))))))))) (not (exists ((A $$unsorted)) (forall ((C $$unsorted)) (or (and (tptp.g_true_only C A) (tptp.g_false_only C B)) (and (tptp.g_false_only C A) (tptp.g_true_only C B)))))))) (not (exists ((B $$unsorted)) (forall ((A $$unsorted)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.g_both C B))) (let ((_let_2 (tptp.g_false_only C B))) (let ((_let_3 (tptp.g_true_only C B))) (or (and (tptp.g_true_only C A) (or _let_1 _let_3)) (and (tptp.g_both C A) (or _let_2 _let_3)) (and (tptp.g_false_only C A) (or _let_2 _let_1))))))))))))))) (let ((_let_3 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_4 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_5 (forall ((A $$unsorted)) (not (forall ((C $$unsorted)) (or (and (tptp.g_true_only C A) (tptp.g_false_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (tptp.g_false_only C A) (tptp.g_true_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))) (let ((_let_6 (not _let_3))) (let ((_let_7 (not _let_4))) (let ((_let_8 (forall ((BOUND_VARIABLE_1060 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_1060 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (and (not (tptp.g_false_only BOUND_VARIABLE_1060 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.g_both BOUND_VARIABLE_1060 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_9 (not _let_8))) (let ((_let_10 (forall ((BOUND_VARIABLE_1048 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_1048 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (and (not (tptp.g_false_only BOUND_VARIABLE_1048 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.g_true_only BOUND_VARIABLE_1048 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_11 (not _let_10))) (let ((_let_12 (forall ((BOUND_VARIABLE_1036 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1036 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (and (not (tptp.g_both BOUND_VARIABLE_1036 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.g_true_only BOUND_VARIABLE_1036 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (not _let_5))) (let ((_let_15 (or _let_14 _let_13 _let_11 _let_9 _let_7 _let_6))) (let ((_let_16 (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (or _let_17 _let_3 _let_16))) (let ((_let_19 (_let_1))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_22 (not _let_21))) (let ((_let_23 (and _let_22 _let_7))) (let ((_let_24 (not _let_16))) (let ((_let_25 (or _let_24 _let_23))) (let ((_let_26 (and _let_24 _let_6))) (let ((_let_27 (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26))) (let ((_let_30 (or _let_21 _let_4 _let_27))) (let ((_let_31 (forall ((BOUND_VARIABLE_816 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_816 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_true_only BOUND_VARIABLE_816 BOUND_VARIABLE_816)) (not (tptp.g_both BOUND_VARIABLE_816 BOUND_VARIABLE_816))))))) (let ((_let_32 (not _let_31))) (let ((_let_33 (forall ((BOUND_VARIABLE_804 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_804 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_true_only BOUND_VARIABLE_804 BOUND_VARIABLE_804)) (not (tptp.g_false_only BOUND_VARIABLE_804 BOUND_VARIABLE_804))))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (forall ((BOUND_VARIABLE_792 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_792 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_both BOUND_VARIABLE_792 BOUND_VARIABLE_792)) (not (tptp.g_false_only BOUND_VARIABLE_792 BOUND_VARIABLE_792))))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_32))) (let ((_let_38 (forall ((A $$unsorted)) (or (not (forall ((BOUND_VARIABLE_792 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_792 A)) (and (not (tptp.g_both BOUND_VARIABLE_792 BOUND_VARIABLE_792)) (not (tptp.g_false_only BOUND_VARIABLE_792 BOUND_VARIABLE_792)))))) (not (forall ((BOUND_VARIABLE_804 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_804 A)) (and (not (tptp.g_true_only BOUND_VARIABLE_804 BOUND_VARIABLE_804)) (not (tptp.g_false_only BOUND_VARIABLE_804 BOUND_VARIABLE_804)))))) (not (forall ((BOUND_VARIABLE_816 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_816 A)) (and (not (tptp.g_true_only BOUND_VARIABLE_816 BOUND_VARIABLE_816)) (not (tptp.g_both BOUND_VARIABLE_816 BOUND_VARIABLE_816)))))))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or))) (let ((_let_42 (not _let_38))) (let ((_let_43 (_let_42))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_38))) (REFL :args (_let_39)) :args _let_41)) (NOT_OR_ELIM _let_40 :args (0)) :args (_let_39 true _let_38)))) (let ((_let_45 (REFL :args (_let_37)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 2)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_41)) :args ((or _let_31 _let_37))) _let_44 :args (_let_31 true _let_37)))) (let ((_let_47 (_let_31))) (let ((_let_48 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_ENUM))) (let ((_let_49 (not _let_23))) (let ((_let_50 (forall ((BOUND_VARIABLE_883 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_883 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (and (not (tptp.g_false_only BOUND_VARIABLE_883 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.g_both BOUND_VARIABLE_883 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (forall ((BOUND_VARIABLE_871 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_871 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (and (not (tptp.g_false_only BOUND_VARIABLE_871 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.g_true_only BOUND_VARIABLE_871 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_53 (not _let_52))) (let ((_let_54 (forall ((BOUND_VARIABLE_859 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_859 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (and (not (tptp.g_both BOUND_VARIABLE_859 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.g_true_only BOUND_VARIABLE_859 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53 _let_51))) (let ((_let_57 (forall ((A $$unsorted)) (or (not (forall ((BOUND_VARIABLE_859 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_859 A)) (and (not (tptp.g_both BOUND_VARIABLE_859 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.g_true_only BOUND_VARIABLE_859 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (not (forall ((BOUND_VARIABLE_871 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_871 A)) (and (not (tptp.g_false_only BOUND_VARIABLE_871 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.g_true_only BOUND_VARIABLE_871 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (not (forall ((BOUND_VARIABLE_883 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_883 A)) (and (not (tptp.g_false_only BOUND_VARIABLE_883 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.g_both BOUND_VARIABLE_883 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (forall ((B $$unsorted)) (not (forall ((A $$unsorted)) (or (not (forall ((BOUND_VARIABLE_859 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_859 A)) (and (not (tptp.g_both BOUND_VARIABLE_859 B)) (not (tptp.g_true_only BOUND_VARIABLE_859 B)))))) (not (forall ((BOUND_VARIABLE_871 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_871 A)) (and (not (tptp.g_false_only BOUND_VARIABLE_871 B)) (not (tptp.g_true_only BOUND_VARIABLE_871 B)))))) (not (forall ((BOUND_VARIABLE_883 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_883 A)) (and (not (tptp.g_false_only BOUND_VARIABLE_883 B)) (not (tptp.g_both BOUND_VARIABLE_883 B)))))))))))) (let ((_let_60 (not _let_57))) (let ((_let_61 (NOT_NOT_ELIM (NOT_OR_ELIM _let_40 :args (1))))) (let ((_let_62 (_let_59))) (let ((_let_63 (_let_60))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_57))) (REFL :args (_let_58)) :args _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_62)) _let_61 :args (_let_60 false _let_59)) :args (_let_58 true _let_57)))) (let ((_let_65 (REFL :args (_let_56)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 2)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_41)) :args ((or _let_50 _let_56))) _let_64 :args (_let_50 true _let_56)))) (let ((_let_67 (_let_50))) (let ((_let_68 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_19)) _let_20 :args (_let_30 false _let_1)))) (let ((_let_70 (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_4 _let_27 _let_21 (not _let_30)))))) (let ((_let_71 (MACRO_RESOLUTION_TRUST _let_70 _let_69 (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_26 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_67) :args _let_68) :args _let_67)) _let_66 :args (_let_29 false _let_50)) (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_7 _let_49))) (REORDERING (CNF_AND_POS :args (_let_23 0)) :args ((or _let_22 _let_49))) (REORDERING (CNF_AND_POS :args (_let_26 0)) :args ((or _let_24 (not _let_26)))) (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_23 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args _let_48) :args _let_47)) _let_46 :args (_let_25 false _let_31)) :args (_let_24 false _let_30 true _let_27 false _let_29 true _let_4 true _let_21 true _let_26 false _let_23 false _let_25)))) (let ((_let_72 (and _let_7 _let_28))) (let ((_let_73 (not _let_17))) (let ((_let_74 (or _let_73 _let_72))) (let ((_let_75 (and _let_6 _let_73))) (let ((_let_76 (or _let_22 _let_75))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_41)) :args ((or _let_35 _let_37))) _let_44 :args (_let_35 true _let_37)))) (let ((_let_78 (_let_35))) (let ((_let_79 (not _let_72))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 0)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_41)) :args ((or _let_54 _let_56))) _let_64 :args (_let_54 true _let_56)))) (let ((_let_81 (_let_54))) (let ((_let_82 (MACRO_RESOLUTION_TRUST _let_70 _let_69 (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_22 _let_75 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_81) :args _let_48) :args _let_81)) _let_80 :args (_let_76 false _let_54)) (REORDERING (CNF_AND_POS :args (_let_72 1)) :args ((or _let_28 _let_79))) (REORDERING (CNF_AND_POS :args (_let_72 0)) :args ((or _let_7 _let_79))) (REORDERING (CNF_AND_POS :args (_let_75 1)) :args ((or _let_73 (not _let_75)))) (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_72 (not _let_74)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args _let_48) :args _let_78)) _let_77 :args (_let_74 false _let_35)) :args (_let_73 false _let_30 true _let_21 false _let_76 true _let_27 true _let_4 true _let_75 false _let_72 false _let_74)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_3 _let_16 (not _let_18)))) _let_82 _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_19)) _let_20 :args (_let_18 false _let_1)) :args (_let_3 true _let_17 true _let_16 false _let_18)))) (let ((_let_84 (forall ((BOUND_VARIABLE_962 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_962 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_true_only BOUND_VARIABLE_962 BOUND_VARIABLE_962)) (not (tptp.g_both BOUND_VARIABLE_962 BOUND_VARIABLE_962))))))) (let ((_let_85 (not _let_84))) (let ((_let_86 (forall ((BOUND_VARIABLE_950 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_950 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_true_only BOUND_VARIABLE_950 BOUND_VARIABLE_950)) (not (tptp.g_false_only BOUND_VARIABLE_950 BOUND_VARIABLE_950))))))) (let ((_let_87 (not _let_86))) (let ((_let_88 (forall ((BOUND_VARIABLE_938 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_938 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.g_both BOUND_VARIABLE_938 BOUND_VARIABLE_938)) (not (tptp.g_false_only BOUND_VARIABLE_938 BOUND_VARIABLE_938))))))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87 _let_85 _let_6 _let_7))) (let ((_let_91 (not _let_90))) (let ((_let_92 (and _let_22 _let_28))) (let ((_let_93 (or _let_6 _let_92))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_41)) :args ((or _let_33 _let_37))) _let_44 :args (_let_33 true _let_37)))) (let ((_let_95 (_let_33))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args _let_48) :args _let_95)) _let_94 :args (_let_93 false _let_33)))) (let ((_let_97 (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_6 _let_92 (not _let_93)))))) (let ((_let_98 (_let_90))) (let ((_let_99 (not _let_92))) (let ((_let_100 (REORDERING (CNF_AND_POS :args (_let_92 0)) :args ((or _let_22 _let_99))))) (let ((_let_101 (REORDERING (CNF_AND_POS :args (_let_92 1)) :args ((or _let_28 _let_99))))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_70 _let_69 _let_101 _let_100 (REORDERING (CNF_OR_POS :args _let_98) :args ((or _let_89 _let_87 _let_85 _let_7 _let_6 _let_91))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_31 (= BOUND_VARIABLE_816 BOUND_VARIABLE_962)))) _let_46 :args (_let_84 false _let_31)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_33 (= BOUND_VARIABLE_804 BOUND_VARIABLE_950)))) _let_94 :args (_let_86 false _let_33)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_35 (= BOUND_VARIABLE_792 BOUND_VARIABLE_938)))) _let_77 :args (_let_88 false _let_35)) _let_97 _let_96 :args ((or _let_6 _let_91) false _let_30 true _let_27 true _let_21 true _let_4 false _let_84 false _let_86 false _let_88 false _let_92 false _let_93)) _let_83 :args (_let_91 false _let_3)))) (let ((_let_103 (forall ((C $$unsorted)) (or (and (tptp.g_true_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) (tptp.g_false_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (tptp.g_false_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) (tptp.g_true_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_104 (and (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) _let_17))) (let ((_let_105 (and (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) _let_16))) (let ((_let_106 (or _let_105 _let_104))) (let ((_let_107 (not _let_103))) (let ((_let_108 (not _let_106))) (let ((_let_109 (not _let_104))) (let ((_let_110 (not _let_105))) (let ((_let_111 (_let_103))) (let ((_let_112 (_let_14))) (let ((_let_113 (forall ((B $$unsorted) (BOUND_VARIABLE_1112 $$unsorted) (BOUND_VARIABLE_1110 $$unsorted)) (or (not (forall ((A $$unsorted)) (not (forall ((C $$unsorted)) (or (and (tptp.g_true_only C A) (tptp.g_false_only C B)) (and (tptp.g_false_only C A) (tptp.g_true_only C B))))))) (not (forall ((BOUND_VARIABLE_1036 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1036 BOUND_VARIABLE_1110)) (and (not (tptp.g_both BOUND_VARIABLE_1036 B)) (not (tptp.g_true_only BOUND_VARIABLE_1036 B)))))) (not (forall ((BOUND_VARIABLE_1048 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_1048 BOUND_VARIABLE_1110)) (and (not (tptp.g_false_only BOUND_VARIABLE_1048 B)) (not (tptp.g_true_only BOUND_VARIABLE_1048 B)))))) (not (forall ((BOUND_VARIABLE_1060 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_1060 BOUND_VARIABLE_1110)) (and (not (tptp.g_false_only BOUND_VARIABLE_1060 B)) (not (tptp.g_both BOUND_VARIABLE_1060 B)))))) (not (tptp.g_both BOUND_VARIABLE_1112 BOUND_VARIABLE_1110)) (not (tptp.g_both BOUND_VARIABLE_1112 B)))))) (let ((_let_114 (forall ((B $$unsorted)) (not (forall ((A $$unsorted)) (or (not (forall ((BOUND_VARIABLE_1163 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1163 A)) (and (not (tptp.g_both BOUND_VARIABLE_1163 B)) (not (tptp.g_true_only BOUND_VARIABLE_1163 B)))))) (not (forall ((BOUND_VARIABLE_1175 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_1175 A)) (and (not (tptp.g_false_only BOUND_VARIABLE_1175 B)) (not (tptp.g_true_only BOUND_VARIABLE_1175 B)))))) (not (forall ((BOUND_VARIABLE_1187 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_1187 A)) (and (not (tptp.g_false_only BOUND_VARIABLE_1187 B)) (not (tptp.g_both BOUND_VARIABLE_1187 B)))))))))))) (let ((_let_115 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (or (and (tptp.g_true_only B A) (tptp.g_true_only B B)) (and (tptp.g_false_only B A) (tptp.g_false_only B B)))))))) (let ((_let_116 (forall ((A $$unsorted) (BOUND_VARIABLE_988 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_938 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_938 A)) (and (not (tptp.g_both BOUND_VARIABLE_938 BOUND_VARIABLE_938)) (not (tptp.g_false_only BOUND_VARIABLE_938 BOUND_VARIABLE_938)))))) (not (forall ((BOUND_VARIABLE_950 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_950 A)) (and (not (tptp.g_true_only BOUND_VARIABLE_950 BOUND_VARIABLE_950)) (not (tptp.g_false_only BOUND_VARIABLE_950 BOUND_VARIABLE_950)))))) (not (forall ((BOUND_VARIABLE_962 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_962 A)) (and (not (tptp.g_true_only BOUND_VARIABLE_962 BOUND_VARIABLE_962)) (not (tptp.g_both BOUND_VARIABLE_962 BOUND_VARIABLE_962)))))) (not (tptp.g_both BOUND_VARIABLE_988 A)) (not (tptp.g_both BOUND_VARIABLE_988 BOUND_VARIABLE_988)))))) (let ((_let_117 (forall ((B $$unsorted)) (or (and (tptp.g_true_only B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) (tptp.g_true_only B B)) (and (tptp.g_false_only B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) (tptp.g_false_only B B)))))) (let ((_let_118 (and (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) _let_27))) (let ((_let_119 (and (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) _let_21))) (let ((_let_120 (or _let_119 _let_118))) (let ((_let_121 (not _let_117))) (let ((_let_122 (not _let_120))) (let ((_let_123 (not _let_118))) (let ((_let_124 (MACRO_RESOLUTION_TRUST _let_97 _let_83 _let_96 :args (_let_92 false _let_3 false _let_93)))) (let ((_let_125 (not _let_119))) (let ((_let_126 (_let_117))) (let ((_let_127 (not _let_115))) (let ((_let_128 (_let_127))) (let ((_let_129 (not _let_116))) (let ((_let_130 (_let_116))) (let ((_let_131 (_let_113))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_7 _let_6 _let_14 _let_13 _let_11 _let_9 (not _let_15)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_52 (= BOUND_VARIABLE_871 BOUND_VARIABLE_1048)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 1)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_41)) :args ((or _let_52 _let_56))) _let_64 :args (_let_52 true _let_56)) :args (_let_10 false _let_52)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_54 (= BOUND_VARIABLE_859 BOUND_VARIABLE_1036)))) _let_80 :args (_let_12 false _let_54)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_50 (= BOUND_VARIABLE_883 BOUND_VARIABLE_1060)))) _let_66 :args (_let_8 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_131) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_ENUM)) :args _let_131)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_40 :args (2))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_129) _let_116))) (REFL :args _let_128) (MACRO_SR_PRED_INTRO :args ((= (not (not _let_113)) _let_113))) (REFL :args ((not _let_114))) :args _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_130) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_ENUM)) :args _let_130)) _let_102 :args (_let_129 true _let_90)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_128)) :args _let_128) (REWRITE :args ((=> _let_127 (not _let_121)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_115))) (REFL :args _let_126) :args _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_126) :args _let_68) :args _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_119 _let_118 _let_122))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_119 1)) :args ((or _let_21 _let_125))) (MACRO_RESOLUTION_TRUST _let_100 _let_124 :args (_let_22 false _let_92)) :args (_let_125 true _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 1)) :args ((or _let_27 _let_123))) (MACRO_RESOLUTION_TRUST _let_101 _let_124 :args (_let_28 false _let_92)) :args (_let_123 true _let_27)) :args (_let_122 true _let_119 true _let_118)) :args (_let_121 true _let_120)) :args (_let_115 true _let_117)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_59 (= A A) (= BOUND_VARIABLE_859 BOUND_VARIABLE_1163) (= B B) (= BOUND_VARIABLE_871 BOUND_VARIABLE_1175) (= BOUND_VARIABLE_883 BOUND_VARIABLE_1187)))) _let_61 :args (_let_114 false _let_59)) :args (_let_113 true _let_116 false _let_115 false _let_114)) :args (_let_15 false _let_113)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_112)) :args _let_112) (REWRITE :args ((=> _let_14 (not _let_107)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_5))) (REFL :args _let_111) :args _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_111) :args _let_68) :args _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_105 _let_104 _let_108))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 1)) :args ((or _let_16 _let_110))) _let_71 :args (_let_110 true _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_104 1)) :args ((or _let_17 _let_109))) _let_82 :args (_let_109 true _let_17)) :args (_let_108 true _let_105 true _let_104)) :args (_let_107 true _let_106)) :args (_let_5 true _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_90 4)) (CONG (REFL :args _let_98) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_4))) :args _let_41)) :args ((or _let_4 _let_90))) _let_102 :args (_let_4 true _let_90)) _let_83 :args (false false _let_10 false _let_12 false _let_8 false _let_15 false _let_5 false _let_4 false _let_3)) :args (_let_2 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_true_only X_2 X_1) (and (tptp.g_true X_2 X_1) (not (tptp.g_false X_2 X_1))))) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_both X_2 X_1) (and (tptp.g_true X_2 X_1) (tptp.g_false X_2 X_1)))) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_false_only X_2 X_1) (and (tptp.g_false X_2 X_1) (not (tptp.g_true X_2 X_1))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.72/10.95 )
% 10.72/10.95 % SZS output end Proof for SYO605+1
% 10.72/10.95 % cvc5---1.0.5 exiting
% 10.72/10.95 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------