TSTP Solution File: SYN334+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 02:02:32 EDT 2023
% Result : Theorem 20.63s 20.90s
% Output : Proof 20.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n004.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 18:47:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 20.63/20.90 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.x4Hf4Kl5JU/cvc5---1.0.5_20683.p...
% 20.63/20.90 ------- get file name : TPTP file name is SYN334+1
% 20.63/20.90 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20683.smt2...
% 20.63/20.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 20.63/20.90 --- Run --no-e-matching --full-saturate-quant at 5...
% 20.63/20.90 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.63/20.90 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.63/20.90 % SZS status Theorem for SYN334+1
% 20.63/20.90 % SZS output start Proof for SYN334+1
% 20.63/20.90 (
% 20.63/20.90 (let ((_let_1 (not (exists ((X $$unsorted) (Y $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g Z Z))) (let ((_let_2 (tptp.big_f X Y))) (=> (=> _let_2 (= (tptp.big_f X Z) (tptp.big_g Y Z))) (=> (= _let_2 (=> (tptp.big_f Z Z) _let_1)) (= (tptp.big_g X Y) _let_1)))))))))) (let ((_let_2 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_4 (not _let_3))) (let ((_let_5 (or _let_4 _let_2))) (let ((_let_6 (tptp.big_g e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_7 (= _let_6 _let_2))) (let ((_let_8 (tptp.big_f e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (not _let_8))) (let ((_let_10 (= _let_9 _let_5))) (let ((_let_11 (and _let_8 (= (not (tptp.big_f e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_12 (or _let_11 _let_10 _let_7))) (let ((_let_13 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g Z Z))) (let ((_let_2 (tptp.big_f e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (or (and _let_2 (= (not (tptp.big_f e_$$unsorted_4 Z)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Z))) (= (or (not (tptp.big_f Z Z)) _let_1) (not _let_2)) (= _let_1 (tptp.big_g e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g Z Z))) (let ((_let_2 (tptp.big_f X Y))) (or (and _let_2 (= (tptp.big_g Y Z) (not (tptp.big_f X Z)))) (= (not _let_2) (or (not (tptp.big_f Z Z)) _let_1)) (= _let_1 (tptp.big_g X Y)))))))))) (let ((_let_16 (not _let_13))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (_let_15))) (let ((_let_19 (or))) (let ((_let_20 (_let_16))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_20)) :args _let_20) (REWRITE :args ((=> _let_16 (not (or _let_11 (= _let_5 _let_9) (= _let_2 _let_6)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_13))) (REFL :args (_let_14)) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (e_$$unsorted_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_18))) _let_17 :args (_let_16 false _let_15)) :args (_let_14 true _let_13)))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_12 2)) _let_21 :args ((not _let_7) true _let_12)))) (let ((_let_23 (= _let_6 _let_9))) (let ((_let_24 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_25 (= _let_2 _let_24))) (let ((_let_26 (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) _let_24))) (let ((_let_27 (= _let_4 _let_26))) (let ((_let_28 (not _let_6))) (let ((_let_29 (tptp.big_f e_$$unsorted_4 e_$$unsorted_4))) (let ((_let_30 (and _let_29 _let_23))) (let ((_let_31 (not _let_23))) (let ((_let_32 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_33 (tptp.big_g e_$$unsorted_4 e_$$unsorted_4))) (let ((_let_34 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_32))) (let ((_let_37 (not _let_29))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (or _let_30 _let_38 (= _let_33 _let_32)))) (let ((_let_40 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g Z Z))) (let ((_let_2 (tptp.big_f e_$$unsorted_4 e_$$unsorted_4))) (or (and _let_2 (= (tptp.big_g e_$$unsorted_4 Z) (not (tptp.big_f e_$$unsorted_4 Z)))) (= (or (not (tptp.big_f Z Z)) _let_1) (not _let_2)) (= _let_1 (tptp.big_g e_$$unsorted_4 e_$$unsorted_4)))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (not _let_40))) (let ((_let_43 (_let_42))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43) (REWRITE :args ((=> _let_42 (not (or _let_30 (= _let_36 _let_37) (= _let_32 _let_33)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_40))) (REFL :args (_let_41)) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (e_$$unsorted_4 e_$$unsorted_4 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_18))) _let_17 :args (_let_42 false _let_15)) :args (_let_41 true _let_40)))) (let ((_let_45 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_48 (= _let_47 _let_46))) (let ((_let_49 (and _let_34 _let_48))) (let ((_let_50 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_51 (= _let_47 _let_50))) (let ((_let_52 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_50))) (let ((_let_55 (= _let_46 _let_54))) (let ((_let_56 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_57 (= _let_50 _let_56))) (let ((_let_58 (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) _let_56))) (let ((_let_59 (= _let_53 _let_58))) (let ((_let_60 (not _let_47))) (let ((_let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))))) (let ((_let_62 (_let_48))) (let ((_let_63 (and _let_45 (= (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))))) (let ((_let_64 (or _let_63 _let_55 _let_51))) (let ((_let_65 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g Z Z))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (and _let_2 (= (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Z)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Z))) (= (or (not (tptp.big_f Z Z)) _let_1) (not _let_2)) (= _let_1 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))))))) (let ((_let_66 (not _let_64))) (let ((_let_67 (not _let_65))) (let ((_let_68 (_let_67))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_68)) :args _let_68) (REWRITE :args ((=> _let_67 (not (or _let_63 (= _let_54 _let_46) (= _let_50 _let_47)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_65))) (REFL :args (_let_66)) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_18))) _let_17 :args (_let_67 false _let_15)) :args (_let_66 true _let_65)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 2)) _let_69 :args ((not _let_51) true _let_64)))) (let ((_let_71 (_let_51))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 1)) _let_69 :args ((not _let_55) true _let_64)))) (let ((_let_73 (_let_55))) (let ((_let_74 (not _let_54))) (let ((_let_75 (and _let_52 (= (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)))))) (let ((_let_76 (or _let_75 _let_59 _let_57))) (let ((_let_77 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g Z Z))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (or (and _let_2 (= (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 Z) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 Z)))) (= (or (not (tptp.big_f Z Z)) _let_1) (not _let_2)) (= _let_1 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))))))) (let ((_let_78 (not _let_76))) (let ((_let_79 (not _let_77))) (let ((_let_80 (_let_79))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80) (REWRITE :args ((=> _let_79 (not (or _let_75 (= _let_58 _let_53) (= _let_56 _let_50)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_77))) (REFL :args (_let_78)) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_18))) _let_17 :args (_let_79 false _let_15)) :args (_let_78 true _let_77)))) (let ((_let_82 (not _let_58))) (let ((_let_83 (_let_59))) (let ((_let_84 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_85 (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) _let_84))) (let ((_let_86 (or _let_49 (= _let_35 _let_85) (= _let_32 _let_84)))) (let ((_let_87 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g Z Z))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (or (and _let_2 (= (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Z) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Z)))) (= (or (not (tptp.big_f Z Z)) _let_1) (not _let_2)) (= _let_1 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))))) (let ((_let_88 (not _let_86))) (let ((_let_89 (not _let_87))) (let ((_let_90 (_let_89))) (let ((_let_91 (not _let_36))) (let ((_let_92 (_let_38))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_30)) :args ((or _let_37 _let_30 _let_31))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_92) (CONG (REFL :args _let_92) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_29))) (REFL :args (_let_91)) :args _let_19)) :args ((or _let_29 _let_38 _let_91))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 1)) _let_44 :args ((not _let_38) true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG (REFL :args (_let_36)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_19)) :args ((or _let_34 _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_49)) :args ((or _let_35 _let_49 (not _let_48)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_86 0)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_90)) :args _let_90) (REWRITE :args ((=> _let_89 (not (or _let_49 (= _let_85 _let_35) (= _let_84 _let_32)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_87))) (REFL :args (_let_88)) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_18))) _let_17 :args (_let_89 false _let_15)) :args (_let_88 true _let_87)) :args ((not _let_49) true _let_86)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_54 1)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_73) (CONG (REFL :args _let_73) _let_61 (REFL :args (_let_74)) :args _let_19)) :args ((or _let_45 _let_55 _let_74))) _let_72 (REORDERING (CNF_EQUIV_NEG1 :args _let_71) :args ((or _let_47 _let_50 _let_51))) _let_70 (REORDERING (CNF_EQUIV_NEG1 :args _let_62) :args ((or _let_47 _let_46 _let_48))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 1)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_83) (CONG (REFL :args _let_83) (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) (REFL :args (_let_82)) :args _let_19)) :args ((or _let_52 _let_59 _let_82))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_76 1)) _let_81 :args ((not _let_59) true _let_76)) (REORDERING (CNF_EQUIV_NEG1 :args (_let_57)) :args ((or _let_50 _let_56 _let_57))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_76 2)) _let_81 :args ((not _let_57) true _let_76)) (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_50 _let_74))) (REORDERING (CNF_EQUIV_NEG1 :args _let_73) :args ((or _let_46 _let_54 _let_55))) _let_72 (REORDERING (CNF_EQUIV_NEG2 :args _let_71) :args ((or _let_60 _let_51 (not _let_50)))) _let_70 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_62) (CONG (REFL :args _let_62) (REFL :args (_let_60)) _let_61 :args _let_19)) :args ((or _let_45 _let_48 _let_60))) :args ((or _let_48 _let_60) true _let_58 true _let_59 false _let_56 true _let_57 true _let_52 false _let_54 true _let_55 true _let_50 true _let_51 false _let_45)) :args (_let_48 true _let_54 true _let_55 false _let_50 true _let_51 true _let_45 true _let_47)) :args (_let_35 true _let_49 false _let_48)) :args (_let_36 true _let_34)) :args (_let_29 true _let_38 false _let_36)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 0)) _let_44 :args ((not _let_30) true _let_39)) :args (_let_31 false _let_29 true _let_30)))) (let ((_let_94 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))))) (let ((_let_95 (_let_23))) (let ((_let_96 (_let_7))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_12 1)) _let_21 :args ((not _let_10) true _let_12)))) (let ((_let_98 (_let_10))) (let ((_let_99 (and _let_3 (= (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)))))) (let ((_let_100 (or _let_99 _let_27 _let_25))) (let ((_let_101 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g Z Z))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (and _let_2 (= (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Z) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Z)))) (= (or (not (tptp.big_f Z Z)) _let_1) (not _let_2)) (= _let_1 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))))))) (let ((_let_102 (not _let_100))) (let ((_let_103 (not _let_101))) (let ((_let_104 (_let_103))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_104)) :args _let_104) (REWRITE :args ((=> _let_103 (not (or _let_99 (= _let_26 _let_4) (= _let_24 _let_2)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_101))) (REFL :args (_let_102)) :args _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_18))) _let_17 :args (_let_103 false _let_15)) :args (_let_102 true _let_101)))) (let ((_let_106 (not _let_5))) (let ((_let_107 (not _let_26))) (let ((_let_108 (_let_27))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_108) (CONG (REFL :args _let_108) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args (_let_107)) :args _let_19)) :args ((or _let_3 _let_27 _let_107))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_100 1)) _let_105 :args ((not _let_27) true _let_100)) (CNF_OR_NEG :args (_let_26 1)) (REORDERING (CNF_OR_POS :args (_let_5)) :args ((or _let_4 _let_2 _let_106))) (REORDERING (CNF_EQUIV_NEG1 :args (_let_25)) :args ((or _let_2 _let_24 _let_25))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_100 2)) _let_105 :args ((not _let_25) true _let_100)) (REORDERING (CNF_EQUIV_NEG1 :args _let_98) :args ((or _let_9 _let_5 _let_10))) _let_97 (REORDERING (CNF_EQUIV_NEG2 :args _let_96) :args ((or _let_28 _let_7 (not _let_2)))) _let_22 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_95) (CONG (REFL :args _let_95) (REFL :args (_let_28)) _let_94 :args _let_19)) :args ((or _let_8 _let_23 _let_28))) _let_93 :args (_let_28 true _let_27 false _let_26 true _let_3 false _let_24 true _let_25 false _let_5 true _let_10 true _let_2 true _let_7 false _let_8 true _let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_5 1)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_98) (CONG (REFL :args _let_98) _let_94 (REFL :args (_let_106)) :args _let_19)) :args ((or _let_8 _let_10 _let_106))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_95) :args ((or _let_6 _let_9 _let_23))) _let_109 _let_93 :args (_let_9 true _let_6 true _let_23)) _let_97 :args (_let_106 true _let_8 true _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_96) :args ((or _let_6 _let_2 _let_7))) _let_109 _let_22 :args (_let_2 true _let_6 true _let_7)) :args (false true _let_5 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.63/20.91 )
% 20.63/20.91 % SZS output end Proof for SYN334+1
% 20.63/20.91 % cvc5---1.0.5 exiting
% 20.63/20.91 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------