0.07/0.13 % Problem : Vampire---4.8_17812 : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : do_cvc5 %s %d 0.13/0.34 % Computer : n013.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 12:43:02 EDT 2023 0.13/0.34 % CPUTime : 0.19/0.46 %----Proving TH0 0.19/0.47 thf(numbers,type, 0.19/0.47 num: $tType ). 0.19/0.47 0.19/0.47 thf(holdsDuring_THFTYPE_IiooI,type, 0.19/0.47 holdsDuring_THFTYPE_IiooI: $i > $o > $o ). 0.19/0.47 0.19/0.47 thf(lAnna_THFTYPE_i,type, 0.19/0.47 lAnna_THFTYPE_i: $i ). 0.19/0.47 0.19/0.47 thf(lBen_THFTYPE_i,type, 0.19/0.47 lBen_THFTYPE_i: $i ). 0.19/0.47 0.19/0.47 thf(lBill_THFTYPE_i,type, 0.19/0.47 lBill_THFTYPE_i: $i ). 0.19/0.47 0.19/0.47 thf(lBob_THFTYPE_i,type, 0.19/0.47 lBob_THFTYPE_i: $i ). 0.19/0.47 0.19/0.47 thf(lMary_THFTYPE_i,type, 0.19/0.47 lMary_THFTYPE_i: $i ). 0.19/0.47 0.19/0.47 thf(lSue_THFTYPE_i,type, 0.19/0.47 lSue_THFTYPE_i: $i ). 0.19/0.47 0.19/0.47 thf(lYearFn_THFTYPE_IiiI,type, 0.19/0.47 lYearFn_THFTYPE_IiiI: $i > $i ). 0.19/0.47 0.19/0.47 thf(likes_THFTYPE_IiioI,type, 0.19/0.47 likes_THFTYPE_IiioI: $i > $i > $o ). 0.19/0.47 0.19/0.47 thf(n2009_THFTYPE_i,type, 0.19/0.47 n2009_THFTYPE_i: $i ). 0.19/0.47 0.19/0.47 thf(parent_THFTYPE_IiioI,type, 0.19/0.47 parent_THFTYPE_IiioI: $i > $i > $o ). 0.19/0.47 0.19/0.47 thf(ax_006,axiom, 0.19/0.47 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ). 0.19/0.47 0.19/0.47 thf(con,conjecture, 0.19/0.47 ? [R: $i > $i > $o] : 0.19/0.47 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) 0.19/0.47 @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) 0.19/0.47 & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) 0.19/0.47 & ( (~) 0.19/0.47 @ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) ) ). 0.19/0.47 0.19/0.47 thf(ax_001,axiom, 0.19/0.47 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ). 0.19/0.47 0.19/0.47 thf(ax_004,axiom, 0.19/0.47 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ). 0.19/0.47 0.19/0.47 thf(ax,axiom, 0.19/0.47 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ). 0.19/0.47 0.19/0.47 thf(ax_003,axiom, 0.19/0.47 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ). 0.19/0.47 0.19/0.47 thf(ax_005,axiom, 0.19/0.47 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ). 0.19/0.47 0.19/0.47 thf(ax_002,axiom, 0.19/0.47 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ). 0.19/0.47 0.19/0.47 thf(ax_007,axiom, 0.19/0.47 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ). 0.19/0.47 0.19/0.47 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wqDEhh1kmI/cvc5---1.0.5_17913.p... 0.19/0.47 (declare-sort $$unsorted 0) 0.19/0.47 (declare-sort tptp.num 0) 0.19/0.47 (declare-fun tptp.holdsDuring_THFTYPE_IiooI ($$unsorted Bool) Bool) 0.19/0.47 (declare-fun tptp.lAnna_THFTYPE_i () $$unsorted) 0.19/0.47 (declare-fun tptp.lBen_THFTYPE_i () $$unsorted) 0.19/0.47 (declare-fun tptp.lBill_THFTYPE_i () $$unsorted) 0.19/0.47 (declare-fun tptp.lBob_THFTYPE_i () $$unsorted) 0.19/0.47 (declare-fun tptp.lMary_THFTYPE_i () $$unsorted) 0.19/0.47 (declare-fun tptp.lSue_THFTYPE_i () $$unsorted) 0.19/0.47 (declare-fun tptp.lYearFn_THFTYPE_IiiI ($$unsorted) $$unsorted) 0.19/0.47 (declare-fun tptp.likes_THFTYPE_IiioI ($$unsorted $$unsorted) Bool) 0.19/0.47 (declare-fun tptp.n2009_THFTYPE_i () $$unsorted) 0.19/0.47 (declare-fun tptp.parent_THFTYPE_IiioI ($$unsorted $$unsorted) Bool) 0.19/0.47 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBen_THFTYPE_i))) 0.19/0.47 (assert (not (exists ((R (-> $$unsorted $$unsorted Bool))) (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (and (@ (@ R tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i) (@ (@ R tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) (@ (@ R A) B)))))))) 0.19/0.47 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBen_THFTYPE_i))) 0.19/0.47 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))) 0.19/0.47 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lAnna_THFTYPE_i))) 0.19/0.47 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))) 0.19/0.50 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lAnna_THFTYPE_i))) 0.19/0.50 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (@ (@ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i))) 0.19/0.50 (assert (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (not (@ (@ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lMary_THFTYPE_i)))) 0.19/0.50 (set-info :filename cvc5---1.0.5_17913) 0.19/0.50 (check-sat-assuming ( true )) 0.19/0.50 ------- get file name : TPTP file name is 0.19/0.50 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17913.smt2... 0.19/0.50 --- Run --ho-elim --full-saturate-quant at 10... 0.19/0.50 % SZS status Theorem for 0.19/0.50 % SZS output start Proof for 0.19/0.50 ( 0.19/0.50 (let ((_let_1 (@ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i))) (let ((_let_2 (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)))) (let ((_let_3 (@ _let_2 (not (@ _let_1 tptp.lMary_THFTYPE_i))))) (let ((_let_4 (@ _let_2 (@ _let_1 tptp.lBill_THFTYPE_i)))) (let ((_let_5 (@ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i))) (let ((_let_6 (@ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i))) (let ((_let_7 (@ _let_2 (@ (@ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)))) (let ((_let_8 (not (exists ((R (-> $$unsorted $$unsorted Bool))) (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (and (@ (@ R tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i) (@ (@ R tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) (@ (@ R A) B))))))))) (let ((_let_9 (@ _let_2 (@ _let_6 tptp.lBen_THFTYPE_i)))) (let ((_let_10 (ho_8 k_7 (ho_6 k_5 tptp.n2009_THFTYPE_i)))) (let ((_let_11 (ho_9 _let_10 BOOLEAN_TERM_VARIABLE_961))) (let ((_let_12 (ho_9 _let_10 BOOLEAN_TERM_VARIABLE_1381))) (let ((_let_13 (APPLY_UF ho_9))) (let ((_let_14 (ho_3 k_10 tptp.lSue_THFTYPE_i))) (let ((_let_15 (ho_4 _let_14 tptp.lBill_THFTYPE_i))) (let ((_let_16 (MACRO_SR_PRED_INTRO :args ((= _let_15 BOOLEAN_TERM_VARIABLE_961))))) (let ((_let_17 (REFL :args (_let_10)))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (PREPROCESS :args ((= _let_4 (ho_9 _let_10 _let_15)))) (CONG _let_17 _let_16 :args _let_13))))) (let ((_let_19 (forall ((BOUND_VARIABLE_659 |u_(-> $$unsorted $$unsorted Bool)|)) (not (ho_9 (ho_8 k_7 (ho_6 k_5 tptp.n2009_THFTYPE_i)) (and (ho_4 (ho_3 BOUND_VARIABLE_659 tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i) (ho_4 (ho_3 BOUND_VARIABLE_659 tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) (ho_4 (ho_3 BOUND_VARIABLE_659 A) B))))))))) (let ((_let_20 (not _let_12))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((R (-> $$unsorted $$unsorted Bool))) (not (@ (@ tptp.holdsDuring_THFTYPE_IiooI (@ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) (and (@ (@ R tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i) (@ (@ R tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) (@ (@ R A) B))))))) _let_19))))))) (let ((_let_22 (=>))) (let ((_let_23 (not))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted)) (ho_4 (ho_3 k_10 A) B)))) (let ((_let_25 (not _let_24))) (let ((_let_26 (ho_4 (ho_3 k_10 tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))) (let ((_let_27 (and _let_15 _let_26 _let_25))) (let ((_let_28 (MACRO_SR_PRED_INTRO :args ((= _let_27 BOOLEAN_TERM_VARIABLE_1381))))) (let ((_let_29 (_let_19))) (let ((_let_30 (REFL :args _let_29))) (let ((_let_31 ((ho_3 BOUND_VARIABLE_659 tptp.lSue_THFTYPE_i)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_21 :args (k_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29) (CONG _let_30 (CONG (CONG _let_17 _let_28 :args _let_13) :args _let_23) :args _let_22))) _let_21 :args (_let_20 false _let_19)))) (let ((_let_33 (ho_9 _let_10 BOOLEAN_TERM_VARIABLE_905))) (let ((_let_34 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_35 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_36 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_37 (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_38 (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_39 (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_40 (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_41 (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_42 (forall ((u |u_(-> $$unsorted Bool Bool)|) (e |u_(-> Bool Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_43 (forall ((x |u_(-> $$unsorted Bool Bool)|) (y |u_(-> $$unsorted Bool Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_44 (ho_3 k_2 tptp.lMary_THFTYPE_i))) (let ((_let_45 (ho_4 _let_44 tptp.lBen_THFTYPE_i))) (let ((_let_46 (ho_9 _let_10 _let_45))) (let ((_let_47 (AND_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_9)) (PREPROCESS :args ((= _let_9 _let_46)))) (PREPROCESS :args ((and _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_34)))) :args ((and _let_46 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_34))) (CONG (CONG _let_17 (MACRO_SR_PRED_INTRO :args ((= _let_45 BOOLEAN_TERM_VARIABLE_905))) :args _let_13) (REFL :args (_let_43)) (REFL :args (_let_42)) (REFL :args (_let_41)) (REFL :args (_let_40)) (REFL :args (_let_39)) (REFL :args (_let_38)) (REFL :args (_let_37)) (REFL :args (_let_36)) (REFL :args (_let_35)) (REFL :args (_let_34)) :args (and))) :args (0)))) (let ((_let_48 (ho_9 _let_10 BOOLEAN_TERM_VARIABLE_1334))) (let ((_let_49 (ho_9 _let_10 BOOLEAN_TERM_VARIABLE_970))) (let ((_let_50 (ho_4 _let_14 tptp.lMary_THFTYPE_i))) (let ((_let_51 (ho_9 _let_10 BOOLEAN_TERM_VARIABLE_925))) (let ((_let_52 (not BOOLEAN_TERM_VARIABLE_905))) (let ((_let_53 (not _let_48))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_21 :args (k_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29) (CONG _let_30 (CONG (CONG _let_17 (MACRO_SR_PRED_INTRO :args ((= (and (ho_4 (ho_3 k_2 tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i) (ho_4 _let_44 tptp.lBill_THFTYPE_i) (not (forall ((A $$unsorted) (B $$unsorted)) (ho_4 (ho_3 k_2 A) B)))) BOOLEAN_TERM_VARIABLE_1334))) :args _let_13) :args _let_23) :args _let_22))) _let_21 :args (_let_53 false _let_19)))) (let ((_let_55 (not BOOLEAN_TERM_VARIABLE_1334))) (let ((_let_56 (not _let_33))) (let ((_let_57 (or))) (let ((_let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_48))))) (let ((_let_59 (_let_55))) (let ((_let_60 (REFL :args (_let_56)))) (let ((_let_61 (_let_52))) (let ((_let_62 (REFL :args _let_61))) (let ((_let_63 (ASSUME :args (_let_33)))) (let ((_let_64 (TRUE_INTRO _let_63))) (let ((_let_65 (ASSUME :args (BOOLEAN_TERM_VARIABLE_905)))) (let ((_let_66 (SYMM (TRUE_INTRO _let_65)))) (let ((_let_67 (ASSUME :args (BOOLEAN_TERM_VARIABLE_1334)))) (let ((_let_68 (ASSUME :args (_let_53)))) (let ((_let_69 (FALSE_INTRO _let_68))) (let ((_let_70 (not BOOLEAN_TERM_VARIABLE_1381))) (let ((_let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_12))))) (let ((_let_72 (_let_70))) (let ((_let_73 (REFL :args _let_72))) (let ((_let_74 (ASSUME :args (BOOLEAN_TERM_VARIABLE_1381)))) (let ((_let_75 (TRUE_INTRO _let_74))) (let ((_let_76 (ASSUME :args (_let_20)))) (let ((_let_77 (FALSE_INTRO _let_76))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (not _let_27))) (let ((_let_80 (not _let_50))) (let ((_let_81 (MACRO_SR_PRED_INTRO :args ((= _let_80 BOOLEAN_TERM_VARIABLE_970))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (PREPROCESS :args ((= _let_3 (ho_9 _let_10 _let_80)))) (CONG _let_17 _let_81 :args _let_13))))) (let ((_let_83 (not _let_49))) (let ((_let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) BOOLEAN_TERM_VARIABLE_1334))))) (let ((_let_85 (not BOOLEAN_TERM_VARIABLE_970))) (let ((_let_86 (ASSUME :args _let_59))) (let ((_let_87 (SYMM (FALSE_INTRO _let_86)))) (let ((_let_88 (ASSUME :args (_let_85)))) (let ((_let_89 (_let_24))) (let ((_let_90 (not _let_11))) (let ((_let_91 (not BOOLEAN_TERM_VARIABLE_961))) (let ((_let_92 (REFL :args (_let_90)))) (let ((_let_93 (_let_91))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (SYMM (TRUE_INTRO _let_18)))) (let ((_let_96 (not _let_15))) (let ((_let_97 (not _let_26))) (let ((_let_98 (_let_27))) (let ((_let_99 (SYMM (MACRO_SR_PRED_INTRO :args ((= BOOLEAN_TERM_VARIABLE_925 _let_26)))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (PREPROCESS :args ((= _let_7 (ho_9 _let_10 _let_26)))) (CONG _let_17 _let_99 :args _let_13))))) (let ((_let_101 (not _let_51))) (let ((_let_102 (not BOOLEAN_TERM_VARIABLE_925))) (let ((_let_103 (ASSUME :args (_let_102)))) (let ((_let_104 (ASSUME :args _let_61))) (let ((_let_105 (ASSUME :args _let_72))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_104 _let_105 _let_76) :args (_let_33 _let_52 _let_20 _let_70)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_78 (CONG _let_17 (TRANS (FALSE_INTRO _let_105) (SYMM (FALSE_INTRO _let_104))) :args _let_13) _let_64)) :args (_let_33 _let_52 _let_70 _let_20)) :args ((not (and _let_33 _let_52 _let_20 _let_70)) SB_LITERAL))) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) BOOLEAN_TERM_VARIABLE_905))) _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) BOOLEAN_TERM_VARIABLE_1381))) :args _let_57)) :args ((or BOOLEAN_TERM_VARIABLE_905 _let_56 BOOLEAN_TERM_VARIABLE_1381 _let_12))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_68 _let_86 _let_103 _let_100) :args (_let_51 _let_102 _let_53 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_100)) (CONG _let_17 (TRANS (FALSE_INTRO _let_103) _let_87) :args _let_13) _let_69)) :args (_let_53 _let_55 _let_102 _let_51)) :args ((not (and _let_51 _let_102 _let_53 _let_55)) SB_LITERAL))) (CONG (REFL :args (_let_101)) (MACRO_SR_PRED_INTRO :args ((= (not _let_102) BOOLEAN_TERM_VARIABLE_925))) _let_58 _let_84 :args _let_57)) :args ((or BOOLEAN_TERM_VARIABLE_925 _let_101 BOOLEAN_TERM_VARIABLE_1334 _let_48))) _let_54 _let_100 (EQUIV_ELIM2 _let_99) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_98) (CONG (REFL :args _let_98) (REFL :args (_let_96)) (REFL :args (_let_97)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_57)) :args ((or _let_97 _let_96 _let_24 _let_27))) (EQUIV_ELIM2 _let_16) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_68 _let_86 _let_94 _let_18) :args (_let_11 _let_91 _let_53 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_95 (CONG _let_17 (TRANS (FALSE_INTRO _let_94) _let_87) :args _let_13) _let_69)) :args (_let_53 _let_55 _let_91 _let_11)) :args ((not (and _let_11 _let_91 _let_53 _let_55)) SB_LITERAL))) (CONG _let_92 (MACRO_SR_PRED_INTRO :args ((= (not _let_91) BOOLEAN_TERM_VARIABLE_961))) _let_58 _let_84 :args _let_57)) :args ((or BOOLEAN_TERM_VARIABLE_961 _let_90 BOOLEAN_TERM_VARIABLE_1334 _let_48))) _let_54 _let_18 (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_89) :args (tptp.lSue_THFTYPE_i tptp.lMary_THFTYPE_i QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_89)) :args ((or _let_50 _let_25))) (EQUIV_ELIM2 _let_81) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_68 _let_86 _let_88 _let_82) :args (_let_49 _let_85 _let_53 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_82)) (CONG _let_17 (TRANS (FALSE_INTRO _let_88) _let_87) :args _let_13) _let_69)) :args (_let_53 _let_55 _let_85 _let_49)) :args ((not (and _let_49 _let_85 _let_53 _let_55)) SB_LITERAL))) (CONG (REFL :args (_let_83)) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) BOOLEAN_TERM_VARIABLE_970))) _let_58 _let_84 :args _let_57)) :args ((or BOOLEAN_TERM_VARIABLE_970 _let_83 BOOLEAN_TERM_VARIABLE_1334 _let_48))) _let_54 _let_82 (REORDERING (EQUIV_ELIM1 _let_28) :args ((or BOOLEAN_TERM_VARIABLE_1381 _let_79))) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_65 _let_74 _let_76) :args (BOOLEAN_TERM_VARIABLE_905 _let_33 BOOLEAN_TERM_VARIABLE_1381 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_78 (CONG _let_17 (TRANS _let_75 _let_66) :args _let_13) _let_64)) :args (_let_33 BOOLEAN_TERM_VARIABLE_905 BOOLEAN_TERM_VARIABLE_1381 _let_20)) :args ((not (and BOOLEAN_TERM_VARIABLE_905 _let_33 BOOLEAN_TERM_VARIABLE_1381 _let_20)) SB_LITERAL))) (CONG _let_62 _let_60 _let_73 _let_71 :args _let_57)) :args ((or _let_56 _let_52 _let_12 _let_70))) _let_32 _let_47 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_65 _let_67 _let_68) :args (BOOLEAN_TERM_VARIABLE_905 _let_33 BOOLEAN_TERM_VARIABLE_1334 _let_53)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_69) (CONG _let_17 (TRANS (TRUE_INTRO _let_67) _let_66) :args _let_13) _let_64)) :args (_let_33 BOOLEAN_TERM_VARIABLE_905 BOOLEAN_TERM_VARIABLE_1334 _let_53)) :args ((not (and BOOLEAN_TERM_VARIABLE_905 _let_33 BOOLEAN_TERM_VARIABLE_1334 _let_53)) SB_LITERAL))) (CONG _let_62 _let_60 (REFL :args _let_59) _let_58 :args _let_57)) :args ((or _let_56 _let_52 _let_48 _let_55))) _let_54 _let_47 :args (_let_52 true _let_48 false _let_51 true BOOLEAN_TERM_VARIABLE_925 true _let_26 false _let_15 false BOOLEAN_TERM_VARIABLE_961 true _let_48 false _let_11 true _let_24 true _let_50 false BOOLEAN_TERM_VARIABLE_970 true _let_48 false _let_49 true _let_27 true BOOLEAN_TERM_VARIABLE_1381 true _let_12 false _let_33 true BOOLEAN_TERM_VARIABLE_1334 true _let_48 false _let_33)) _let_47 _let_32 :args (BOOLEAN_TERM_VARIABLE_1381 true BOOLEAN_TERM_VARIABLE_905 false _let_33 true _let_12)))) (let ((_let_107 (ASSUME :args (BOOLEAN_TERM_VARIABLE_961)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_76 _let_74 _let_107 _let_18) :args (BOOLEAN_TERM_VARIABLE_961 _let_11 BOOLEAN_TERM_VARIABLE_1381 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_95 (CONG _let_17 (TRANS (TRUE_INTRO _let_107) (SYMM _let_75)) :args _let_13) _let_77)) :args (_let_20 BOOLEAN_TERM_VARIABLE_1381 BOOLEAN_TERM_VARIABLE_961 _let_11)) :args ((not (and BOOLEAN_TERM_VARIABLE_961 _let_11 BOOLEAN_TERM_VARIABLE_1381 _let_20)) SB_LITERAL))) (CONG (REFL :args _let_93) _let_92 _let_73 _let_71 :args _let_57)) :args ((or _let_90 _let_91 _let_12 _let_70))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 _let_16) :args ((or BOOLEAN_TERM_VARIABLE_961 _let_96))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_15 _let_79))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_28) _let_106 :args (_let_27 false BOOLEAN_TERM_VARIABLE_1381)) :args (_let_15 false _let_27)) :args (BOOLEAN_TERM_VARIABLE_961 false _let_15)) _let_106 _let_32 _let_18 :args (false false BOOLEAN_TERM_VARIABLE_961 false BOOLEAN_TERM_VARIABLE_1381 true _let_12 false _let_11)) :args (_let_9 _let_8 (@ _let_2 (@ _let_5 tptp.lBen_THFTYPE_i)) _let_7 (@ _let_2 (@ _let_6 tptp.lAnna_THFTYPE_i)) (@ _let_2 (@ (@ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)) (@ _let_2 (@ _let_5 tptp.lAnna_THFTYPE_i)) _let_4 _let_3 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0.19/0.50 ) 0.19/0.50 % SZS output end Proof for 0.19/0.50 % cvc5---1.0.5 exiting 0.19/0.51 % cvc5---1.0.5 exiting 0.19/0.51 EOF