TSTP Solution File: COL006-7 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL006-7 : TPTP v8.1.2. Released v2.1.0.
% 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 : Wed Aug 30 18:22:59 EDT 2023
% Result : Unsatisfiable 0.21s 0.55s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : COL006-7 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 04:58:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.X9kZ0fxJeW/cvc5---1.0.5_10404.p...
% 0.21/0.51 ------- get file name : TPTP file name is COL006-7
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10404.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55 % SZS status Unsatisfiable for COL006-7
% 0.21/0.55 % SZS output start Proof for COL006-7
% 0.21/0.55 (
% 0.21/0.55 (let ((_let_1 (tptp.apply tptp.strong_fixed_point tptp.fixed_pt))) (let ((_let_2 (= _let_1 (tptp.apply tptp.fixed_pt _let_1)))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.apply tptp.k tptp.s))) (let ((_let_5 (tptp.apply (tptp.apply tptp.s _let_4) tptp.k))) (let ((_let_6 (tptp.apply tptp.s tptp.k))) (let ((_let_7 (tptp.apply tptp.s tptp.s))) (let ((_let_8 (tptp.apply _let_7 _let_6))) (let ((_let_9 (tptp.apply _let_6 tptp.k))) (let ((_let_10 (tptp.apply (tptp.apply _let_7 _let_9) _let_8))) (let ((_let_11 (tptp.apply tptp.k _let_10))) (let ((_let_12 (tptp.apply (tptp.apply tptp.s _let_11) _let_5))) (let ((_let_13 (= tptp.strong_fixed_point _let_12))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.k X) Y) X)))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z) (tptp.apply (tptp.apply X Z) (tptp.apply Y Z)))))) (let ((_let_16 (tptp.apply _let_9 _let_8))) (let ((_let_17 (tptp.apply (tptp.apply tptp.s _let_8) _let_16))) (let ((_let_18 (= _let_10 _let_17))) (let ((_let_19 (tptp.apply _let_5 tptp.fixed_pt))) (let ((_let_20 (tptp.apply _let_11 tptp.fixed_pt))) (let ((_let_21 (= (tptp.apply _let_12 tptp.fixed_pt) (tptp.apply _let_20 _let_19)))) (let ((_let_22 (tptp.apply tptp.k _let_8))) (let ((_let_23 (tptp.apply _let_22 _let_22))) (let ((_let_24 (= _let_16 _let_23))) (let ((_let_25 (tptp.apply tptp.k tptp.fixed_pt))) (let ((_let_26 (tptp.apply _let_4 tptp.fixed_pt))) (let ((_let_27 (= _let_19 (tptp.apply _let_26 _let_25)))) (let ((_let_28 (= _let_10 _let_20))) (let ((_let_29 (tptp.apply _let_16 _let_19))) (let ((_let_30 (tptp.apply _let_8 _let_19))) (let ((_let_31 (= (tptp.apply _let_17 _let_19) (tptp.apply _let_30 _let_29)))) (let ((_let_32 (= _let_8 _let_23))) (let ((_let_33 (= tptp.s _let_26))) (let ((_let_34 (tptp.apply _let_6 _let_19))) (let ((_let_35 (tptp.apply (tptp.apply tptp.s _let_19) _let_34))) (let ((_let_36 (= _let_30 _let_35))) (let ((_let_37 (tptp.apply _let_34 _let_29))) (let ((_let_38 (tptp.apply _let_19 _let_29))) (let ((_let_39 (= (tptp.apply _let_35 _let_29) (tptp.apply _let_38 _let_37)))) (let ((_let_40 (tptp.apply (tptp.apply tptp.k _let_29) _let_38))) (let ((_let_41 (= _let_37 _let_40))) (let ((_let_42 (tptp.apply _let_25 _let_37))) (let ((_let_43 (= (tptp.apply (tptp.apply (tptp.apply tptp.s _let_25) _let_29) _let_37) (tptp.apply _let_42 (tptp.apply _let_29 _let_37))))) (let ((_let_44 (= _let_29 _let_40))) (let ((_let_45 (= tptp.fixed_pt _let_42))) (let ((_let_46 (ASSUME :args (_let_13)))) (let ((_let_47 (_let_15))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z)))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.apply (tptp.apply tptp.k X) Y))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_50))) (let ((_let_53 ((tptp.apply (tptp.apply tptp.k X) Y)))) (let ((_let_54 (and _let_13 _let_18 _let_21 _let_24 _let_27 _let_28 _let_31 _let_32 _let_33 _let_36 _let_39 _let_41 _let_43 _let_44 _let_45))) (let ((_let_55 (APPLY_UF tptp.apply))) (let ((_let_56 (CONG (SYMM _let_46) (REFL :args (tptp.fixed_pt)) :args _let_55))) (let ((_let_57 (ASSUME :args (_let_21)))) (let ((_let_58 (REFL :args (_let_19)))) (let ((_let_59 (ASSUME :args (_let_28)))) (let ((_let_60 (ASSUME :args (_let_18)))) (let ((_let_61 (CONG (TRANS (SYMM _let_60) (SYMM (SYMM _let_59))) _let_58 :args _let_55))) (let ((_let_62 (ASSUME :args (_let_31)))) (let ((_let_63 (REFL :args (_let_29)))) (let ((_let_64 (ASSUME :args (_let_36)))) (let ((_let_65 (CONG (SYMM _let_64) _let_63 :args _let_55))) (let ((_let_66 (ASSUME :args (_let_44)))) (let ((_let_67 (ASSUME :args (_let_41)))) (let ((_let_68 (REFL :args (_let_37)))) (let ((_let_69 (ASSUME :args (_let_32)))) (let ((_let_70 (ASSUME :args (_let_24)))) (let ((_let_71 (ASSUME :args (_let_45)))) (let ((_let_72 (ASSUME :args (_let_43)))) (let ((_let_73 (ASSUME :args (_let_33)))) (let ((_let_74 (ASSUME :args (_let_27)))) (let ((_let_75 (ASSUME :args (_let_39)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_46 _let_57 _let_59 _let_60 _let_62 _let_64 _let_66 _let_67 _let_69 _let_70 _let_72 _let_73 _let_74 _let_75) (SCOPE (TRANS (SYMM _let_56) _let_57 (SYMM _let_61) _let_62 (SYMM _let_65) (SYMM (SYMM _let_75)) (CONG (CONG (TRANS (SYMM (SYMM _let_74)) (CONG (SYMM _let_73) (REFL :args (_let_25)) :args _let_55)) _let_63 :args _let_55) _let_68 :args _let_55) (SYMM (SYMM _let_72)) (CONG (SYMM _let_71) (TRANS (CONG (TRANS (CONG (TRANS (SYMM (SYMM _let_70)) (SYMM _let_69)) _let_58 :args _let_55) _let_64) _let_68 :args _let_55) (CONG (REFL :args (_let_35)) (TRANS (SYMM (SYMM _let_67)) (SYMM _let_66)) :args _let_55) _let_65 (SYMM _let_62) _let_61 (SYMM _let_57) _let_56) :args _let_55)) :args (_let_45 _let_13 _let_21 _let_28 _let_18 _let_31 _let_36 _let_44 _let_41 _let_32 _let_24 _let_43 _let_33 _let_27 _let_39))) :args (_let_13 _let_18 _let_21 _let_24 _let_27 _let_28 _let_31 _let_32 _let_33 _let_36 _let_39 _let_41 _let_43 _let_44 _let_45))) :args (true _let_54)) :args ((or _let_2 (not _let_13) (not _let_18) (not _let_21) (not _let_24) (not _let_27) (not _let_28) (not _let_31) (not _let_32) (not _let_33) (not _let_36) (not _let_39) (not _let_41) (not _let_43) (not _let_44) (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.fixed_pt _let_37 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_45 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_29 _let_38 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_44 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_25 _let_29 _let_37 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_43 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.k _let_19 _let_29 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_41 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_19 _let_34 _let_29 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_39 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.s _let_6 _let_19 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_36 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.s tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_33 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_8 _let_22 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_32 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_8 _let_16 _let_19 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_31 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_10 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_28 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_4 tptp.k tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_27 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.k tptp.k _let_8 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_24 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_11 _let_5 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_21 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.s _let_9 _let_8 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_18 false _let_15)) (ASSUME :args (_let_3)) _let_46 :args (false false _let_45 false _let_44 false _let_43 false _let_41 false _let_39 false _let_36 false _let_33 false _let_32 false _let_31 false _let_28 false _let_27 false _let_24 false _let_21 false _let_18 true _let_2 false _let_13)) :args (_let_15 _let_14 _let_13 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.56 )
% 0.21/0.56 % SZS output end Proof for COL006-7
% 0.21/0.56 % cvc5---1.0.5 exiting
% 0.21/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------