TSTP Solution File: COL006-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL006-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 18:22:58 EDT 2023
% Result : Unsatisfiable 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : COL006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n006.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 05:12:37 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CNDyoI3dLE/cvc5---1.0.5_14675.p...
% 0.21/0.50 ------- get file name : TPTP file name is COL006-3
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14675.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Unsatisfiable for COL006-3
% 0.21/0.54 % SZS output start Proof for COL006-3
% 0.21/0.55 (
% 0.21/0.55 (let ((_let_1 (tptp.apply (tptp.apply tptp.s tptp.k) tptp.k))) (let ((_let_2 (tptp.apply (tptp.apply tptp.s _let_1) _let_1))) (let ((_let_3 (tptp.apply tptp.k _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.apply tptp.s _let_5) _let_3))) (let ((_let_7 (tptp.apply (tptp.apply tptp.s _let_3) _let_6))) (let ((_let_8 (tptp.fixed_point _let_7))) (let ((_let_9 (not _let_8))) (let ((_let_10 (forall ((Strong_fixed_point $$unsorted)) (let ((_let_1 (tptp.apply Strong_fixed_point tptp.fixed_pt))) (or (not (= _let_1 (tptp.apply tptp.fixed_pt _let_1))) (tptp.fixed_point Strong_fixed_point)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.k X) Y) X)))) (let ((_let_12 (forall ((X $$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_13 (tptp.apply _let_7 tptp.fixed_pt))) (let ((_let_14 (= _let_13 (tptp.apply tptp.fixed_pt _let_13)))) (let ((_let_15 (tptp.apply _let_6 tptp.fixed_pt))) (let ((_let_16 (tptp.apply _let_3 tptp.fixed_pt))) (let ((_let_17 (= _let_13 (tptp.apply _let_16 _let_15)))) (let ((_let_18 (tptp.apply _let_5 tptp.fixed_pt))) (let ((_let_19 (= _let_15 (tptp.apply _let_18 _let_16)))) (let ((_let_20 (= _let_2 _let_16))) (let ((_let_21 (tptp.apply _let_1 _let_15))) (let ((_let_22 (= (tptp.apply _let_2 _let_15) (tptp.apply _let_21 _let_21)))) (let ((_let_23 (tptp.apply tptp.k tptp.fixed_pt))) (let ((_let_24 (tptp.apply _let_4 tptp.fixed_pt))) (let ((_let_25 (= _let_18 (tptp.apply _let_24 _let_23)))) (let ((_let_26 (tptp.apply tptp.k _let_15))) (let ((_let_27 (tptp.apply _let_26 _let_26))) (let ((_let_28 (= _let_21 _let_27))) (let ((_let_29 (= tptp.s _let_24))) (let ((_let_30 (= _let_15 _let_27))) (let ((_let_31 (tptp.apply _let_23 _let_21))) (let ((_let_32 (= (tptp.apply (tptp.apply (tptp.apply tptp.s _let_23) _let_16) _let_21) (tptp.apply _let_31 (tptp.apply _let_16 _let_21))))) (let ((_let_33 (= tptp.fixed_pt _let_31))) (let ((_let_34 (not _let_14))) (let ((_let_35 (or _let_34 _let_8))) (let ((_let_36 (_let_10))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (_let_12))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z)))) (let ((_let_41 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.apply (tptp.apply tptp.k X) Y))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 ((tptp.apply (tptp.apply tptp.k X) Y)))) (let ((_let_45 (and _let_17 _let_19 _let_20 _let_22 _let_25 _let_28 _let_29 _let_30 _let_32 _let_33))) (let ((_let_46 (APPLY_UF tptp.apply))) (let ((_let_47 (ASSUME :args (_let_17)))) (let ((_let_48 (ASSUME :args (_let_20)))) (let ((_let_49 (SYMM _let_48))) (let ((_let_50 (CONG (SYMM _let_49) (REFL :args (_let_15)) :args _let_46))) (let ((_let_51 (ASSUME :args (_let_22)))) (let ((_let_52 (ASSUME :args (_let_33)))) (let ((_let_53 (ASSUME :args (_let_30)))) (let ((_let_54 (SYMM _let_53))) (let ((_let_55 (ASSUME :args (_let_28)))) (let ((_let_56 (SYMM (SYMM _let_55)))) (let ((_let_57 (ASSUME :args (_let_32)))) (let ((_let_58 (ASSUME :args (_let_29)))) (let ((_let_59 (ASSUME :args (_let_25)))) (let ((_let_60 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_45)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_47 _let_48 _let_51 _let_53 _let_55 _let_57 _let_58 _let_59 _let_60) (SCOPE (TRANS _let_47 (SYMM _let_50) _let_51 (CONG (TRANS _let_56 _let_54 (SYMM (SYMM _let_60)) (CONG (TRANS (SYMM (SYMM _let_59)) (CONG (SYMM _let_58) (REFL :args (_let_23)) :args _let_46)) (REFL :args (_let_16)) :args _let_46)) (REFL :args (_let_21)) :args _let_46) (SYMM (SYMM _let_57)) (CONG (REFL :args (_let_31)) (TRANS (CONG _let_49 (TRANS _let_56 _let_54) :args _let_46) _let_51) :args _let_46) (CONG (SYMM _let_52) (TRANS (SYMM _let_51) _let_50 (SYMM _let_47)) :args _let_46)) :args (_let_33 _let_17 _let_20 _let_22 _let_30 _let_28 _let_32 _let_29 _let_25 _let_19))) :args (_let_17 _let_19 _let_20 _let_22 _let_25 _let_28 _let_29 _let_30 _let_32 _let_33))) :args (true _let_45)) :args ((or _let_14 (not _let_17) (not _let_19) (not _let_20) (not _let_22) (not _let_25) (not _let_28) (not _let_29) (not _let_30) (not _let_32) (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.fixed_pt _let_21 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_33 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_23 _let_16 _let_21 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_32 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_15 _let_26 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_30 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.s tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_29 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.k tptp.k _let_15 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_28 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_4 tptp.k tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_25 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_1 _let_1 _let_15 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_22 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_2 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_20 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_5 _let_3 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_19 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_3 _let_6 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_17 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_8 _let_34 (not _let_35)))) (ASSUME :args (_let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.fixed_point Strong_fixed_point) true))))) :args _let_36)) _let_37 :args (_let_35 false _let_10)) :args (_let_34 true _let_8 false _let_35)) :args (false false _let_33 false _let_32 false _let_30 false _let_29 false _let_28 false _let_25 false _let_22 false _let_20 false _let_19 false _let_17 true _let_14)) :args (_let_12 _let_11 _let_10 _let_9)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55 )
% 0.21/0.55 % SZS output end Proof for COL006-3
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------