TSTP Solution File: COM003+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM003+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 18:36:53 EDT 2023
% Result : Theorem 0.65s 0.89s
% Output : Proof 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COM003+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 12:44:58 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.65/0.89 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.5L8Em1cXo1/cvc5---1.0.5_28162.p...
% 0.65/0.89 ------- get file name : TPTP file name is COM003+1
% 0.65/0.89 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28162.smt2...
% 0.65/0.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.65/0.89 % SZS status Theorem for COM003+1
% 0.65/0.89 % SZS output start Proof for COM003+1
% 0.65/0.89 (
% 0.65/0.89 (let ((_let_1 (not (not (exists ((X1 $$unsorted)) (and (tptp.algorithm X1) (forall ((Y1 $$unsorted)) (=> (tptp.program Y1) (forall ((Z1 $$unsorted)) (tptp.decides X1 Y1 Z1)))))))))) (let ((_let_2 (=> (exists ((V $$unsorted)) (and (tptp.program V) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.halts2 V Y))) (let ((_let_2 (tptp.halts2 Y Y))) (let ((_let_3 (tptp.program Y))) (and (=> (and _let_3 _let_2) (and _let_1 (tptp.outputs V tptp.good))) (=> (and _let_3 (not _let_2)) (and _let_1 (tptp.outputs V tptp.bad)))))))))) (exists ((U $$unsorted)) (and (tptp.program U) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.halts2 U Y))) (let ((_let_2 (tptp.halts2 Y Y))) (let ((_let_3 (tptp.program Y))) (and (=> (and _let_3 _let_2) (not _let_1)) (=> (and _let_3 (not _let_2)) (and _let_1 (tptp.outputs U tptp.bad))))))))))))) (let ((_let_3 (=> (exists ((W $$unsorted)) (and (tptp.program W) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.halts3 W Y Y))) (let ((_let_2 (tptp.halts2 Y Y))) (let ((_let_3 (tptp.program Y))) (and (=> (and _let_3 _let_2) (and _let_1 (tptp.outputs W tptp.good))) (=> (and _let_3 (not _let_2)) (and _let_1 (tptp.outputs W tptp.bad)))))))))) (exists ((V $$unsorted)) (and (tptp.program V) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.halts2 V Y))) (let ((_let_2 (tptp.halts2 Y Y))) (let ((_let_3 (tptp.program Y))) (and (=> (and _let_3 _let_2) (and _let_1 (tptp.outputs V tptp.good))) (=> (and _let_3 (not _let_2)) (and _let_1 (tptp.outputs V tptp.bad))))))))))))) (let ((_let_4 (forall ((W $$unsorted)) (=> (and (tptp.program W) (forall ((Y $$unsorted)) (=> (tptp.program Y) (forall ((Z $$unsorted)) (tptp.decides W Y Z))))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.halts3 W Y Z))) (let ((_let_2 (tptp.halts2 Y Z))) (let ((_let_3 (tptp.program Y))) (and (=> (and _let_3 _let_2) (and _let_1 (tptp.outputs W tptp.good))) (=> (and _let_3 (not _let_2)) (and _let_1 (tptp.outputs W tptp.bad)))))))))))) (let ((_let_5 (=> (exists ((X $$unsorted)) (and (tptp.algorithm X) (forall ((Y $$unsorted)) (=> (tptp.program Y) (forall ((Z $$unsorted)) (tptp.decides X Y Z)))))) (exists ((W $$unsorted)) (and (tptp.program W) (forall ((Y $$unsorted)) (=> (tptp.program Y) (forall ((Z $$unsorted)) (tptp.decides W Y Z))))))))) (let ((_let_6 (tptp.program SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (forall ((BOUND_VARIABLE_885 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_885)) (tptp.halts2 BOUND_VARIABLE_885 BOUND_VARIABLE_885) (and (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_885 BOUND_VARIABLE_885) (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.bad)))))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((BOUND_VARIABLE_874 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_874)) (not (tptp.halts2 BOUND_VARIABLE_874 BOUND_VARIABLE_874)) (and (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_874 BOUND_VARIABLE_874) (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.good)))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (not _let_6))) (let ((_let_12 (or _let_11 _let_10 _let_8))) (let ((_let_13 (forall ((Y $$unsorted) (BOUND_VARIABLE_768 $$unsorted)) (or (not (tptp.program Y)) (tptp.decides SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y BOUND_VARIABLE_768))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_11 _let_14))) (let ((_let_16 (forall ((W $$unsorted)) (or (not (tptp.program W)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_768 $$unsorted)) (or (not (tptp.program Y)) (tptp.decides W Y BOUND_VARIABLE_768)))))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (forall ((X $$unsorted)) (or (not (tptp.algorithm X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_749 $$unsorted)) (or (not (tptp.program Y)) (tptp.decides X Y BOUND_VARIABLE_749)))))))) (let ((_let_19 (not _let_16))) (let ((_let_20 (not _let_18))) (let ((_let_21 (or))) (let ((_let_22 (_let_19))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_22)) :args _let_22)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_16))) (REFL :args (_let_17)) :args _let_21)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_18))) (REFL :args _let_22) :args _let_21)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_18 (= Y Y1) (= BOUND_VARIABLE_749 BOUND_VARIABLE_1044) (= X X1)))) (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (_let_20 true (forall ((X1 $$unsorted)) (or (not (tptp.algorithm X1)) (not (forall ((Y1 $$unsorted) (BOUND_VARIABLE_1044 $$unsorted)) (or (not (tptp.program Y1)) (tptp.decides X1 Y1 BOUND_VARIABLE_1044)))))))) :args (_let_19 true _let_18)) :args (_let_17 true _let_16)))) (let ((_let_24 (REFL :args (_let_15)))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_6))) :args _let_21)) :args ((or _let_6 _let_15))) _let_23 :args (_let_6 true _let_15)))) (let ((_let_26 (forall ((W $$unsorted)) (or (not (tptp.program W)) (not (forall ((BOUND_VARIABLE_874 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_874)) (not (tptp.halts2 BOUND_VARIABLE_874 BOUND_VARIABLE_874)) (and (tptp.halts3 W BOUND_VARIABLE_874 BOUND_VARIABLE_874) (tptp.outputs W tptp.good))))) (not (forall ((BOUND_VARIABLE_885 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_885)) (tptp.halts2 BOUND_VARIABLE_885 BOUND_VARIABLE_885) (and (tptp.halts3 W BOUND_VARIABLE_885 BOUND_VARIABLE_885) (tptp.outputs W tptp.bad))))))))) (let ((_let_27 (forall ((V $$unsorted)) (or (not (tptp.program V)) (not (forall ((BOUND_VARIABLE_917 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_917)) (not (tptp.halts2 BOUND_VARIABLE_917 BOUND_VARIABLE_917)) (and (tptp.halts2 V BOUND_VARIABLE_917) (tptp.outputs V tptp.good))))) (not (forall ((BOUND_VARIABLE_928 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_928)) (tptp.halts2 BOUND_VARIABLE_928 BOUND_VARIABLE_928) (and (tptp.halts2 V BOUND_VARIABLE_928) (tptp.outputs V tptp.bad))))))))) (let ((_let_28 (forall ((V $$unsorted)) (or (not (tptp.program V)) (not (forall ((BOUND_VARIABLE_962 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_962)) (not (tptp.halts2 BOUND_VARIABLE_962 BOUND_VARIABLE_962)) (and (tptp.halts2 V BOUND_VARIABLE_962) (tptp.outputs V tptp.good))))) (not (forall ((BOUND_VARIABLE_973 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_973)) (tptp.halts2 BOUND_VARIABLE_973 BOUND_VARIABLE_973) (and (tptp.halts2 V BOUND_VARIABLE_973) (tptp.outputs V tptp.bad))))))))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.program U)) (not (forall ((BOUND_VARIABLE_1005 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_1005)) (not (tptp.halts2 BOUND_VARIABLE_1005 BOUND_VARIABLE_1005)) (not (tptp.halts2 U BOUND_VARIABLE_1005))))) (not (forall ((BOUND_VARIABLE_1016 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_1016)) (tptp.halts2 BOUND_VARIABLE_1016 BOUND_VARIABLE_1016) (and (tptp.halts2 U BOUND_VARIABLE_1016) (tptp.outputs U tptp.bad))))))))) (let ((_let_30 (forall ((BOUND_VARIABLE_1016 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_1016)) (tptp.halts2 BOUND_VARIABLE_1016 BOUND_VARIABLE_1016) (and (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 BOUND_VARIABLE_1016) (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.bad)))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (forall ((BOUND_VARIABLE_1005 $$unsorted)) (or (not (tptp.program BOUND_VARIABLE_1005)) (not (tptp.halts2 BOUND_VARIABLE_1005 BOUND_VARIABLE_1005)) (not (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 BOUND_VARIABLE_1005)))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.program SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_31))) (let ((_let_37 (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_35 _let_38 _let_38))) (let ((_let_40 (and _let_37 (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.bad)))) (let ((_let_41 (or _let_35 _let_37 _let_40))) (let ((_let_42 (REFL :args (_let_36)))) (let ((_let_43 (_let_32))) (let ((_let_44 (_let_30))) (let ((_let_45 (not _let_29))) (let ((_let_46 (_let_45))) (let ((_let_47 (_let_26))) (let ((_let_48 (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.bad))) (let ((_let_49 (or (not (tptp.program SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29) (and (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29) _let_48)))) (let ((_let_50 (tptp.outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.good))) (let ((_let_51 (and (or _let_35 (not (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (and (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_50)) _let_49))) (let ((_let_52 (forall ((Y $$unsorted) (BOUND_VARIABLE_789 $$unsorted)) (or (not (tptp.program Y)) (tptp.decides SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y BOUND_VARIABLE_789))))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_11 _let_53 _let_51))) (let ((_let_55 (forall ((W $$unsorted) (BOUND_VARIABLE_850 $$unsorted) (BOUND_VARIABLE_841 $$unsorted) (BOUND_VARIABLE_852 $$unsorted) (BOUND_VARIABLE_839 $$unsorted)) (or (not (tptp.program W)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_789 $$unsorted)) (or (not (tptp.program Y)) (tptp.decides W Y BOUND_VARIABLE_789)))) (and (or (not (tptp.program BOUND_VARIABLE_839)) (not (tptp.halts2 BOUND_VARIABLE_839 BOUND_VARIABLE_841)) (and (tptp.halts3 W BOUND_VARIABLE_839 BOUND_VARIABLE_841) (tptp.outputs W tptp.good))) (or (not (tptp.program BOUND_VARIABLE_850)) (tptp.halts2 BOUND_VARIABLE_850 BOUND_VARIABLE_852) (and (tptp.halts3 W BOUND_VARIABLE_850 BOUND_VARIABLE_852) (tptp.outputs W tptp.bad)))))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 ((tptp.halts3 W BOUND_VARIABLE_839 BOUND_VARIABLE_841) (tptp.halts3 W BOUND_VARIABLE_850 BOUND_VARIABLE_852)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_13 (= Y Y) (= BOUND_VARIABLE_768 BOUND_VARIABLE_789)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_21)) :args ((or _let_13 _let_15))) _let_23 :args (_let_13 true _let_15)) :args (_let_52 false _let_13)))) (let ((_let_60 (_let_8))) (let ((_let_61 (or (not (tptp.program SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)) (not (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)) (and (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30) _let_50)))) (let ((_let_62 (and _let_61 (or _let_35 (tptp.halts2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (and (tptp.halts3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_48))))) (let ((_let_63 (or _let_11 _let_53 _let_62))) (let ((_let_64 (_let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_10 _let_8 (not _let_12)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_64)) :args _let_64)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) (REFL :args ((not _let_61))) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 0)) :args ((or _let_61 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_11 _let_53 _let_62 (not _let_63)))) _let_25 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_57)) _let_56 :args (_let_63 false _let_55)) :args (_let_62 false _let_6 false _let_52 false _let_63)) :args (_let_61 false _let_62)) :args (_let_9 false _let_61)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_60)) :args _let_60)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) (REFL :args ((not _let_49))) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_51 1)) :args ((or _let_49 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_11 _let_53 _let_51 (not _let_54)))) _let_25 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_57)) _let_56 :args (_let_54 false _let_55)) :args (_let_51 false _let_6 false _let_52 false _let_54)) :args (_let_49 false _let_51)) :args (_let_7 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program W) false))))) :args _let_47)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not (not _let_26)) _let_26))) (REFL :args ((not _let_27))) :args _let_21)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_27 (= BOUND_VARIABLE_917 BOUND_VARIABLE_962) (= V V) (= BOUND_VARIABLE_928 BOUND_VARIABLE_973)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not (not _let_28)) _let_28))) (REFL :args _let_46) :args _let_21)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_29))) (REFL :args ((not _let_36))) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_35 _let_37 _let_40 (not _let_41)))) (REORDERING (CNF_AND_POS :args (_let_40 0)) :args ((or _let_37 (not _let_40)))) (REORDERING (FACTORING (CNF_OR_POS :args (_let_39))) :args ((or _let_35 _let_38 (not _let_39)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program BOUND_VARIABLE_1016) false))))) :args _let_44)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program BOUND_VARIABLE_1005) false))))) :args _let_43)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 2)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_21)) :args ((or _let_30 _let_36))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_21)) :args ((or _let_32 _let_36))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_21)) :args ((or _let_34 _let_36))) :args (_let_36 true _let_40 true _let_37 false _let_41 false _let_39 false _let_30 false _let_32 false _let_34)) :args (_let_29 false _let_36)) :args (_let_28 false _let_29)) :args (_let_27 false _let_28)) :args (_let_26 false _let_27)) :args (_let_12 false _let_26)) _let_25 :args (false false _let_9 false _let_7 false _let_12 false _let_6)) :args (_let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.65/0.90 )
% 0.65/0.90 % SZS output end Proof for COM003+1
% 0.65/0.90 % cvc5---1.0.5 exiting
% 0.65/0.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------