0.08/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.10 % Command : do_cvc5 %s %d 0.10/0.30 % Computer : n026.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1200 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Jul 13 12:43:29 EDT 2021 0.10/0.30 % CPUTime : 0.14/0.39 %----THF division 0.14/0.40 ------- cvc5-thf casc 28 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 120... 0.14/0.40 --- Run --ho-elim --full-saturate-quant at 10... 0.14/0.42 % SZS status Theorem for theBenchmark 0.14/0.42 % SZS output start Proof for theBenchmark 0.14/0.42 (proof 0.14/0.42 (let ((_let_1 (not (exists ((R (-> $$unsorted $$unsorted Bool)) (X $$unsorted) (Y $$unsorted)) ((holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)) (and ((R X) lAnna_THFTYPE_i) (not ((R Y) lAnna_THFTYPE_i)))))))) (let ((_let_2 (parent_THFTYPE_IiioI lBob_THFTYPE_i))) (let ((_let_3 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)))) (let ((_let_4 (_let_3 (not (_let_2 lAnna_THFTYPE_i))))) (let ((_let_5 (parent_THFTYPE_IiioI lSue_THFTYPE_i))) (let ((_let_6 (parent_THFTYPE_IiioI lMary_THFTYPE_i))) (let ((_let_7 (likes_THFTYPE_IiioI lSue_THFTYPE_i))) (let ((_let_8 (_let_3 (_let_6 lAnna_THFTYPE_i)))) (let ((_let_9 (ho_7 k_6 (ho_5 k_4 n2009_THFTYPE_i)))) (let ((_let_10 (ho_8 _let_9 BOOLEAN_TERM_VARIABLE_707))) (let ((_let_11 (ho_8 _let_9 BOOLEAN_TERM_VARIABLE_1479))) (let ((_let_12 (23 ho_8))) (let ((_let_13 (ho_3 (ho_2 k_9 lBob_THFTYPE_i) lAnna_THFTYPE_i))) (let ((_let_14 (not _let_13))) (let ((_let_15 (REFL |:args| (_let_9)))) (let ((_let_16 (EQ_RESOLVE (ASSUME |:args| (_let_4)) (TRANS (PREPROCESS |:args| ((= _let_4 (ho_8 _let_9 _let_14)))) (CONG _let_15 (MACRO_SR_PRED_INTRO |:args| ((= _let_14 BOOLEAN_TERM_VARIABLE_707))) |:args| _let_12))))) (let ((_let_17 (forall ((BOUND_VARIABLE_425 |u_(-> $$unsorted $$unsorted Bool)|) (X $$unsorted) (Y $$unsorted)) (not (ho_8 (ho_7 k_6 (ho_5 k_4 n2009_THFTYPE_i)) (and (ho_3 (ho_2 BOUND_VARIABLE_425 X) lAnna_THFTYPE_i) (not (ho_3 (ho_2 BOUND_VARIABLE_425 Y) lAnna_THFTYPE_i)))))))) (let ((_let_18 (not _let_11))) (let ((_let_19 (EQ_RESOLVE (ASSUME |:args| (_let_1)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_1 7 12)) (PREPROCESS |:args| ((= (forall ((R (-> $$unsorted $$unsorted Bool)) (X $$unsorted) (Y $$unsorted)) (not ((holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)) (and ((R X) lAnna_THFTYPE_i) (not ((R Y) lAnna_THFTYPE_i)))))) _let_17))))))) (let ((_let_20 (19))) (let ((_let_21 (17))) (let ((_let_22 (ho_3 (ho_2 k_9 lMary_THFTYPE_i) lAnna_THFTYPE_i))) (let ((_let_23 (and _let_22 _let_14))) (let ((_let_24 (_let_17))) (let ((_let_25 (REFL |:args| _let_24))) (let ((_let_26 (ho_8 _let_9 BOOLEAN_TERM_VARIABLE_1103))) (let ((_let_27 (not _let_26))) (let ((_let_28 (ho_3 (ho_2 k_1 lSue_THFTYPE_i) lAnna_THFTYPE_i))) (let ((_let_29 (not _let_28))) (let ((_let_30 (and _let_28 _let_29))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_19 |:args| (k_1 lSue_THFTYPE_i lSue_THFTYPE_i)) |:args| _let_24) (CONG _let_25 (CONG (CONG _let_15 (MACRO_SR_PRED_INTRO |:args| ((= _let_30 BOOLEAN_TERM_VARIABLE_1103))) |:args| _let_12) |:args| _let_21) |:args| _let_20))) _let_19 |:args| (_let_27 false _let_17)))) (let ((_let_32 (not BOOLEAN_TERM_VARIABLE_1103))) (let ((_let_33 (not _let_30))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_1103 _let_30)))) |:args| ((or _let_30 _let_32))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_30 1)) |:args| ((or _let_29 _let_33))) (REORDERING (CNF_AND_POS |:args| (_let_30 0)) |:args| ((or _let_28 _let_33))) |:args| (_let_33 false _let_28)) |:args| (_let_32 true _let_30)))) (let ((_let_35 (not _let_10))) (let ((_let_36 (20))) (let ((_let_37 (REFL |:args| (_let_35)))) (let ((_let_38 (not BOOLEAN_TERM_VARIABLE_707))) (let ((_let_39 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_32) BOOLEAN_TERM_VARIABLE_1103))))) (let ((_let_40 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_27) _let_26))))) (let ((_let_41 (FALSE_INTRO (ASSUME |:args| (_let_27))))) (let ((_let_42 (SYMM (FALSE_INTRO (ASSUME |:args| (_let_32)))))) (let ((_let_43 (_let_38))) (let ((_let_44 (TRUE_INTRO _let_16))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_44) (CONG _let_15 (TRANS (FALSE_INTRO (ASSUME |:args| _let_43)) _let_42) |:args| _let_12) _let_41)) |:args| (_let_27 _let_32 _let_38 _let_10))) (CONG _let_40 _let_39 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_38) BOOLEAN_TERM_VARIABLE_707))) _let_37 |:args| _let_36)) |:args| ((or BOOLEAN_TERM_VARIABLE_707 _let_35 BOOLEAN_TERM_VARIABLE_1103 _let_26))) _let_16 _let_34 _let_31 |:args| (BOOLEAN_TERM_VARIABLE_707 false _let_10 true BOOLEAN_TERM_VARIABLE_1103 true _let_26)))) (let ((_let_46 (ho_8 _let_9 BOOLEAN_TERM_VARIABLE_653))) (let ((_let_47 (EQ_RESOLVE (ASSUME |:args| (_let_8)) (TRANS (PREPROCESS |:args| ((= _let_8 (ho_8 _let_9 _let_22)))) (CONG _let_15 (MACRO_SR_PRED_INTRO |:args| ((= _let_22 BOOLEAN_TERM_VARIABLE_653))) |:args| _let_12))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (not BOOLEAN_TERM_VARIABLE_653))) (let ((_let_50 (not _let_22))) (let ((_let_51 (_let_23))) (let ((_let_52 (not BOOLEAN_TERM_VARIABLE_1479))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME |:args| (_let_18)))) (CONG _let_15 (TRANS (TRUE_INTRO (ASSUME |:args| (BOOLEAN_TERM_VARIABLE_1479))) (SYMM (TRUE_INTRO (ASSUME |:args| (BOOLEAN_TERM_VARIABLE_707))))) |:args| _let_12) _let_44)) |:args| (_let_10 BOOLEAN_TERM_VARIABLE_707 BOOLEAN_TERM_VARIABLE_1479 _let_18))) (CONG _let_37 (REFL |:args| _let_43) (REFL |:args| (_let_52)) (MACRO_SR_PRED_INTRO |:args| ((= (not _let_18) _let_11))) |:args| _let_36)) |:args| ((or _let_35 _let_38 _let_11 _let_52))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_1479 _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG |:args| _let_51) (CONG (REFL |:args| _let_51) (REFL |:args| (_let_50)) (MACRO_SR_PRED_INTRO |:args| ((= (not _let_14) _let_13))) |:args| _let_36)) |:args| ((or _let_13 _let_50 _let_23))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_707 _let_14)))) |:args| ((or _let_14 _let_38))) _let_45 |:args| (_let_14 false BOOLEAN_TERM_VARIABLE_707)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_653 _let_22)))) |:args| ((or _let_22 _let_49))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_47)) (CONG _let_15 (TRANS (FALSE_INTRO (ASSUME |:args| (_let_49))) _let_42) |:args| _let_12) _let_41)) |:args| (_let_27 _let_32 _let_49 _let_46))) (CONG _let_40 _let_39 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_49) BOOLEAN_TERM_VARIABLE_653))) (REFL |:args| (_let_48)) |:args| _let_36)) |:args| ((or BOOLEAN_TERM_VARIABLE_653 _let_48 BOOLEAN_TERM_VARIABLE_1103 _let_26))) _let_47 _let_34 _let_31 |:args| (BOOLEAN_TERM_VARIABLE_653 false _let_46 true BOOLEAN_TERM_VARIABLE_1103 true _let_26)) |:args| (_let_22 false BOOLEAN_TERM_VARIABLE_653)) |:args| (_let_23 true _let_13 false _let_22)) |:args| (BOOLEAN_TERM_VARIABLE_1479 false _let_23)) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_19 |:args| (k_9 lMary_THFTYPE_i lBob_THFTYPE_i)) |:args| _let_24) (CONG _let_25 (CONG (CONG _let_15 (MACRO_SR_PRED_INTRO |:args| ((= _let_23 BOOLEAN_TERM_VARIABLE_1479))) |:args| _let_12) |:args| _let_21) |:args| _let_20))) _let_19 |:args| (_let_18 false _let_17)) _let_16 |:args| (false false BOOLEAN_TERM_VARIABLE_1479 false BOOLEAN_TERM_VARIABLE_707 true _let_11 false _let_10)) |:args| ((_let_3 (not (_let_7 lMary_THFTYPE_i))) _let_8 (_let_3 (_let_7 lBill_THFTYPE_i)) (_let_3 (_let_5 lBen_THFTYPE_i)) (_let_3 ((likes_THFTYPE_IiioI lBob_THFTYPE_i) lBill_THFTYPE_i)) (_let_3 (_let_6 lBen_THFTYPE_i)) (_let_3 (_let_5 lAnna_THFTYPE_i)) _let_4 (_let_3 ((likes_THFTYPE_IiioI lMary_THFTYPE_i) lBill_THFTYPE_i)) (_let_3 (not (_let_2 lBen_THFTYPE_i))) _let_1 (not false))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0.14/0.42 ) 0.14/0.42 % SZS output end Proof for theBenchmark 0.14/0.43 EOF