0.13/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.13/0.14	% Command    : do_cvc5 %s %d
0.13/0.35	% Computer   : n012.cluster.edu
0.13/0.35	% Model      : x86_64 x86_64
0.13/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory     : 8042.1875MB
0.13/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 1200
0.13/0.35	% WCLimit    : 120
0.13/0.35	% DateTime   : Tue Jul 13 11:08:31 EDT 2021
0.13/0.35	% CPUTime    : 
0.20/0.48	%----THF division
0.20/0.48	------- cvc5-thf casc 28 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 120...
0.20/0.48	--- Run --ho-elim --full-saturate-quant at 10...
0.20/0.50	% SZS status Theorem for theBenchmark
0.20/0.51	% SZS output start Proof for theBenchmark
0.20/0.51	(proof
0.20/0.51	(let ((_let_1 (parent_THFTYPE_IiioI lSue_THFTYPE_i))) (let ((_let_2 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)))) (let ((_let_3 (parent_THFTYPE_IiioI lMary_THFTYPE_i))) (let ((_let_4 (not (exists ((R (-> $$unsorted $$unsorted Bool))) ((holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)) (and ((R lSue_THFTYPE_i) lBill_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) ((R A) B))) ((R lMary_THFTYPE_i) lBill_THFTYPE_i))))))) (let ((_let_5 (_let_2 ((likes_THFTYPE_IiioI lMary_THFTYPE_i) lBill_THFTYPE_i)))) (let ((_let_6 (likes_THFTYPE_IiioI lSue_THFTYPE_i))) (let ((_let_7 (_let_2 (_let_6 lBill_THFTYPE_i)))) (let ((_let_8 (_let_2 (not (_let_6 lMary_THFTYPE_i))))) (let ((_let_9 (ho_2 k_1 lSue_THFTYPE_i))) (let ((_let_10 (ho_3 _let_9 lBill_THFTYPE_i))) (let ((_let_11 (ho_7 k_6 (ho_5 k_4 n2009_THFTYPE_i)))) (let ((_let_12 (ho_8 _let_11 BOOLEAN_TERM_VARIABLE_1039))) (let ((_let_13 (ho_8 _let_11 BOOLEAN_TERM_VARIABLE_644))) (let ((_let_14 (not BOOLEAN_TERM_VARIABLE_644))) (let ((_let_15 (ho_8 _let_11 BOOLEAN_TERM_VARIABLE_633))) (let ((_let_16 (forall ((BOUND_VARIABLE_403 |u_(-> $$unsorted $$unsorted Bool)|)) (not (ho_8 (ho_7 k_6 (ho_5 k_4 n2009_THFTYPE_i)) (and (ho_3 (ho_2 BOUND_VARIABLE_403 lSue_THFTYPE_i) lBill_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) (ho_3 (ho_2 BOUND_VARIABLE_403 A) B))) (ho_3 (ho_2 BOUND_VARIABLE_403 lMary_THFTYPE_i) lBill_THFTYPE_i))))))) (let ((_let_17 (not _let_12))) (let ((_let_18 (EQ_RESOLVE (ASSUME |:args| (_let_4)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_4 7 12)) (PREPROCESS |:args| ((= (forall ((R (-> $$unsorted $$unsorted Bool))) (not ((holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)) (and ((R lSue_THFTYPE_i) lBill_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) ((R A) B))) ((R lMary_THFTYPE_i) lBill_THFTYPE_i))))) _let_16))))))) (let ((_let_19 (23 ho_8))) (let ((_let_20 (ho_3 (ho_2 k_1 lMary_THFTYPE_i) lBill_THFTYPE_i))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (ho_3 (ho_2 k_1 A) B)))) (let ((_let_22 (not _let_21))) (let ((_let_23 (and _let_10 _let_22 _let_20))) (let ((_let_24 (REFL |:args| (_let_11)))) (let ((_let_25 (_let_16))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_18 |:args| (k_1)) |:args| _let_25) (CONG (REFL |:args| _let_25) (CONG (CONG _let_24 (MACRO_SR_PRED_INTRO |:args| ((= _let_23 BOOLEAN_TERM_VARIABLE_1039))) |:args| _let_19) |:args| (17)) |:args| (19)))) _let_18 |:args| (_let_17 false _let_16)))) (let ((_let_27 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_28 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_29 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_30 (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_31 (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_8 v ii) (ite (= ii i) e (ho_8 u ii)))))))))) (let ((_let_32 (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_33 (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_34 (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_35 (forall ((u |u_(-> $$unsorted Bool Bool)|) (e |u_(-> Bool Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_36 (forall ((x |u_(-> $$unsorted Bool Bool)|) (y |u_(-> $$unsorted Bool Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_37 (ho_3 _let_9 lMary_THFTYPE_i))) (let ((_let_38 (not _let_37))) (let ((_let_39 (ho_8 _let_11 _let_38))) (let ((_let_40 (AND_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME |:args| (_let_8)) (PREPROCESS |:args| ((= _let_8 _let_39)))) (PREPROCESS |:args| ((and _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27)))) |:args| ((and _let_39 _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27))) (CONG (CONG _let_24 (MACRO_SR_PRED_INTRO |:args| ((= _let_38 BOOLEAN_TERM_VARIABLE_633))) |:args| _let_19) (REFL |:args| (_let_36)) (REFL |:args| (_let_35)) (REFL |:args| (_let_34)) (REFL |:args| (_let_33)) (REFL |:args| (_let_32)) (REFL |:args| (_let_31)) (REFL |:args| (_let_30)) (REFL |:args| (_let_29)) (REFL |:args| (_let_28)) (REFL |:args| (_let_27)) |:args| (18))) |:args| (0)))) (let ((_let_41 (ho_8 _let_11 BOOLEAN_TERM_VARIABLE_671))) (let ((_let_42 (not BOOLEAN_TERM_VARIABLE_633))) (let ((_let_43 (not BOOLEAN_TERM_VARIABLE_1039))) (let ((_let_44 (not _let_15))) (let ((_let_45 (20))) (let ((_let_46 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_17) _let_12))))) (let ((_let_47 (_let_43))) (let ((_let_48 (REFL |:args| _let_47))) (let ((_let_49 (_let_42))) (let ((_let_50 (REFL |:args| (_let_44)))) (let ((_let_51 (TRUE_INTRO (ASSUME |:args| (_let_15))))) (let ((_let_52 (TRUE_INTRO (ASSUME |:args| (BOOLEAN_TERM_VARIABLE_1039))))) (let ((_let_53 (FALSE_INTRO (ASSUME |:args| (_let_17))))) (let ((_let_54 (SYMM _let_53))) (let ((_let_55 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_1039 _let_23))))) (let ((_let_56 (_let_21))) (let ((_let_57 (EQ_RESOLVE (ASSUME |:args| (_let_5)) (TRANS (PREPROCESS |:args| ((= _let_5 (ho_8 _let_11 _let_20)))) (CONG _let_24 (MACRO_SR_PRED_INTRO |:args| ((= _let_20 BOOLEAN_TERM_VARIABLE_671))) |:args| _let_19))))) (let ((_let_58 (not _let_41))) (let ((_let_59 (not BOOLEAN_TERM_VARIABLE_671))) (let ((_let_60 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_43) BOOLEAN_TERM_VARIABLE_1039))))) (let ((_let_61 (FALSE_INTRO (ASSUME |:args| _let_47)))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (not _let_20))) (let ((_let_64 (not _let_10))) (let ((_let_65 (_let_23))) (let ((_let_66 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_644 _let_10))))) (let ((_let_67 (EQ_RESOLVE (ASSUME |:args| (_let_7)) (TRANS (PREPROCESS |:args| ((= _let_7 (ho_8 _let_11 _let_10)))) (CONG _let_24 (MACRO_SR_PRED_INTRO |:args| ((= _let_10 BOOLEAN_TERM_VARIABLE_644))) |:args| _let_19))))) (let ((_let_68 (not _let_13))) (let ((_let_69 (REFL |:args| (_let_68)))) (let ((_let_70 (_let_14))) (let ((_let_71 (TRUE_INTRO _let_67))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_54 (CONG _let_24 (TRANS _let_61 (SYMM (FALSE_INTRO (ASSUME |:args| _let_49)))) |:args| _let_19) _let_51)) |:args| (_let_15 _let_42 _let_43 _let_17))) (CONG _let_50 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_42) BOOLEAN_TERM_VARIABLE_633))) _let_60 _let_46 |:args| _let_45)) |:args| ((or BOOLEAN_TERM_VARIABLE_633 _let_44 BOOLEAN_TERM_VARIABLE_1039 _let_12))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_71) (CONG _let_24 (TRANS (FALSE_INTRO (ASSUME |:args| _let_70)) _let_62) |:args| _let_19) _let_53)) |:args| (_let_17 _let_43 _let_14 _let_13))) (CONG _let_46 _let_60 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_14) BOOLEAN_TERM_VARIABLE_644))) _let_69 |:args| _let_45)) |:args| ((or BOOLEAN_TERM_VARIABLE_644 _let_68 BOOLEAN_TERM_VARIABLE_1039 _let_12))) _let_26 _let_67 (REORDERING (EQUIV_ELIM1 _let_66) |:args| ((or _let_10 _let_14))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG |:args| _let_65) (CONG (REFL |:args| _let_65) (REFL |:args| (_let_64)) (MACRO_SR_PRED_INTRO |:args| ((= (not _let_22) _let_21))) (REFL |:args| (_let_63)) |:args| _let_45)) |:args| ((or _let_64 _let_63 _let_21 _let_23))) (REORDERING (EQUIV_ELIM1 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_671 _let_20)))) |:args| ((or _let_20 _let_59))) (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_57)) (CONG _let_24 (TRANS (FALSE_INTRO (ASSUME |:args| (_let_59))) _let_62) |:args| _let_19) _let_53)) |:args| (_let_17 _let_43 _let_59 _let_41))) (CONG _let_46 _let_60 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_59) BOOLEAN_TERM_VARIABLE_671))) (REFL |:args| (_let_58)) |:args| _let_45)) |:args| ((or BOOLEAN_TERM_VARIABLE_671 _let_58 BOOLEAN_TERM_VARIABLE_1039 _let_12))) _let_26 _let_57 (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME |:args| _let_56) |:args| (lSue_THFTYPE_i lMary_THFTYPE_i)) |:args| _let_56)) |:args| ((or _let_37 _let_22))) (EQUIV_ELIM2 _let_55) (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_54 (CONG _let_24 (TRANS _let_52 (SYMM (TRUE_INTRO (ASSUME |:args| (BOOLEAN_TERM_VARIABLE_633))))) |:args| _let_19) _let_51)) |:args| (_let_15 BOOLEAN_TERM_VARIABLE_633 BOOLEAN_TERM_VARIABLE_1039 _let_17))) (CONG _let_50 (REFL |:args| _let_49) _let_48 _let_46 |:args| _let_45)) |:args| ((or _let_44 _let_42 _let_12 _let_43))) _let_26 _let_40 (REORDERING (EQUIV_ELIM1 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_633 _let_38)))) |:args| ((or _let_38 _let_42))) |:args| (_let_42 true _let_12 false _let_13 true BOOLEAN_TERM_VARIABLE_644 true _let_10 false _let_20 false BOOLEAN_TERM_VARIABLE_671 true _let_12 false _let_41 true _let_21 true _let_23 true BOOLEAN_TERM_VARIABLE_1039 true _let_12 false _let_15 true _let_37)) _let_40 _let_26 |:args| (BOOLEAN_TERM_VARIABLE_1039 true BOOLEAN_TERM_VARIABLE_633 false _let_15 true _let_12)))) (SCOPE (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_66) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_23 0)) |:args| ((or _let_10 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 _let_55) |:args| ((or _let_23 _let_43))) _let_72 |:args| (_let_23 false BOOLEAN_TERM_VARIABLE_1039)) |:args| (_let_10 false _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_54 (CONG _let_24 (TRANS _let_52 (SYMM (TRUE_INTRO (ASSUME |:args| (BOOLEAN_TERM_VARIABLE_644))))) |:args| _let_19) _let_71)) |:args| (_let_13 BOOLEAN_TERM_VARIABLE_644 BOOLEAN_TERM_VARIABLE_1039 _let_17))) (CONG _let_69 (REFL |:args| _let_70) _let_48 _let_46 |:args| _let_45)) |:args| ((or _let_68 _let_14 _let_12 _let_43))) _let_67 _let_26 _let_72 |:args| (_let_14 false _let_13 true _let_12 false BOOLEAN_TERM_VARIABLE_1039)) |:args| (false false _let_10 true BOOLEAN_TERM_VARIABLE_644)) |:args| (_let_8 _let_7 (_let_2 (_let_3 lAnna_THFTYPE_i)) (_let_2 (_let_1 lBen_THFTYPE_i)) _let_5 _let_4 (_let_2 (_let_3 lBen_THFTYPE_i)) (_let_2 ((likes_THFTYPE_IiioI lBob_THFTYPE_i) lBill_THFTYPE_i)) (_let_2 (_let_1 lAnna_THFTYPE_i)) (not false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
0.20/0.51	)
0.20/0.51	% SZS output end Proof for theBenchmark
0.20/0.51	EOF