TSTP Solution File: LAT268-10 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT268-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 : Thu Aug 31 06:03:27 EDT 2023
% Result : Unsatisfiable 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT268-10 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 07:53:27 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.u3G21ArdSg/cvc5---1.0.5_7326.p...
% 0.20/0.49 ------- get file name : TPTP file name is LAT268-10
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7326.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Unsatisfiable for LAT268-10
% 0.20/0.52 % SZS output start Proof for LAT268-10
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_2 (= tptp.v_r _let_1))) (let ((_let_3 (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))))) (let ((_let_4 (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))))) (let ((_let_5 (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_6 (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a))) (let ((_let_7 (tptp.c_in _let_6 tptp.c_Tarski_OPartialOrder _let_5))) (let ((_let_8 (= _let_7 tptp.true))) (let ((_let_9 (tptp.c_in _let_6 tptp.c_Tarski_OCompleteLattice _let_5))) (let ((_let_10 (= _let_9 tptp.true))) (let ((_let_11 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_cl $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (= (tptp.ifeq (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Tarski_Opotype_Oorder (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) _let_1) tptp.true (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) (tptp.c_Tarski_Opotype_Oorder V_cl T_a tptp.tc_Product__Type_Ounit) _let_1) tptp.true) tptp.true))))) (let ((_let_12 (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (= (tptp.ifeq (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a)) tptp.true (tptp.ifeq (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice _let_1) tptp.true (tptp.ifeq (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder _let_1) tptp.true (tptp.ifeq (tptp.c_in V_x V_S T_a) tptp.true (tptp.c_in (tptp.c_Pair V_x (tptp.c_Tarski_Olub V_S V_cl T_a) T_a T_a) (tptp.c_Tarski_Opotype_Oorder V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_prod T_a T_a)) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true))))) (let ((_let_13 (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_14 (= tptp.v_A _let_13))) (let ((_let_15 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_16 (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a))) (let ((_let_17 (tptp.c_Pair _let_16 tptp.v_x tptp.t_a tptp.t_a))) (let ((_let_18 (tptp.c_in _let_17 tptp.v_r _let_15))) (let ((_let_19 (not (= _let_18 tptp.true)))) (let ((_let_20 (tptp.c_in tptp.v_x tptp.v_S tptp.t_a))) (let ((_let_21 (= _let_20 tptp.true))) (let ((_let_22 (tptp.tc_set tptp.t_a))) (let ((_let_23 (tptp.c_lessequals tptp.v_S tptp.v_A _let_22))) (let ((_let_24 (= _let_23 tptp.true))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_27 (tptp.c_in _let_17 _let_1 _let_15))) (let ((_let_28 (= _let_27 (tptp.ifeq tptp.true tptp.true _let_27 tptp.true)))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (tptp.c_Tarski_Opotype_Oorder _let_6 tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_31 (tptp.c_Tarski_Olub tptp.v_S _let_6 tptp.t_a))) (let ((_let_32 (tptp.c_in (tptp.c_Pair tptp.v_x _let_31 tptp.t_a tptp.t_a) _let_30 _let_15))) (let ((_let_33 (= _let_32 (tptp.ifeq tptp.true tptp.true _let_32 tptp.true)))) (let ((_let_34 (tptp.ifeq _let_20 tptp.true _let_32 tptp.true))) (let ((_let_35 (tptp.ifeq _let_7 tptp.true _let_34 tptp.true))) (let ((_let_36 (tptp.ifeq _let_9 tptp.true _let_35 tptp.true))) (let ((_let_37 (tptp.c_Tarski_Opotype_Opset _let_6 tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_38 (= tptp.true (tptp.ifeq (tptp.c_lessequals tptp.v_S _let_37 _let_22) tptp.true _let_36 tptp.true)))) (let ((_let_39 (= _let_13 _let_37))) (let ((_let_40 (= _let_16 _let_31))) (let ((_let_41 (= tptp.true (tptp.ifeq (tptp.c_in (tptp.c_Pair tptp.v_x _let_16 tptp.t_a tptp.t_a) _let_30 _let_15) tptp.true _let_27 tptp.true)))) (let ((_let_42 (= tptp.true _let_7))) (let ((_let_43 (= tptp.true _let_9))) (let ((_let_44 (= tptp.true _let_20))) (let ((_let_45 (= tptp.true _let_23))) (let ((_let_46 (= tptp.true _let_18))) (let ((_let_47 (not _let_28))) (let ((_let_48 (_let_26))) (let ((_let_49 ((tptp.ifeq A A B C)))) (let ((_let_50 (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (= tptp.true (tptp.ifeq (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a)) tptp.true (tptp.ifeq (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice _let_1) tptp.true (tptp.ifeq (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder _let_1) tptp.true (tptp.ifeq (tptp.c_in V_x V_S T_a) tptp.true (tptp.c_in (tptp.c_Pair V_x (tptp.c_Tarski_Olub V_S V_cl T_a) T_a T_a) (tptp.c_Tarski_Opotype_Oorder V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_prod T_a T_a)) tptp.true) tptp.true) tptp.true) tptp.true)))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_3))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_4))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_cl $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (= tptp.true (tptp.ifeq (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Tarski_Opotype_Oorder (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) _let_1) tptp.true (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) (tptp.c_Tarski_Opotype_Oorder V_cl T_a tptp.tc_Product__Type_Ounit) _let_1) tptp.true)))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (ASSUME :args (_let_2)))) (let ((_let_59 (SYMM (ASSUME :args (_let_8))))) (let ((_let_60 (SYMM (ASSUME :args (_let_10))))) (let ((_let_61 (ASSUME :args (_let_14)))) (let ((_let_62 (SYMM (ASSUME :args (_let_21))))) (let ((_let_63 (SYMM (ASSUME :args (_let_24))))) (let ((_let_64 (SYMM (ASSUME :args (_let_19))))) (let ((_let_65 (not _let_33))) (let ((_let_66 (not _let_38))) (let ((_let_67 (not _let_39))) (let ((_let_68 (not _let_40))) (let ((_let_69 (not _let_41))) (let ((_let_70 (not _let_2))) (let ((_let_71 (not _let_42))) (let ((_let_72 (not _let_43))) (let ((_let_73 (not _let_14))) (let ((_let_74 (not _let_44))) (let ((_let_75 (not _let_45))) (let ((_let_76 (not _let_46))) (let ((_let_77 (and _let_14 _let_2 _let_45 _let_44 _let_76 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_33))) (let ((_let_78 (APPLY_UF tptp.c_in))) (let ((_let_79 (REFL :args (_let_15)))) (let ((_let_80 (ASSUME :args (_let_41)))) (let ((_let_81 (APPLY_UF tptp.ifeq))) (let ((_let_82 (REFL :args (tptp.true)))) (let ((_let_83 (REFL :args (tptp.t_a)))) (let ((_let_84 (ASSUME :args (_let_40)))) (let ((_let_85 (ASSUME :args (_let_33)))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (SYMM _let_62))) (let ((_let_88 (TRANS (CONG _let_87 _let_82 (REFL :args (_let_32)) _let_82 :args _let_81) _let_86))) (let ((_let_89 (CONG _let_82 _let_82 _let_88 _let_82 :args _let_81))) (let ((_let_90 (SYMM _let_88))) (let ((_let_91 (ASSUME :args (_let_39)))) (let ((_let_92 (ASSUME :args (_let_38)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.true _let_27 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_80 _let_84 _let_85 _let_62 _let_59 _let_60 _let_63 _let_61 _let_91 _let_92 _let_64 _let_58) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS _let_62 (TRANS _let_87 (SYMM (SYMM _let_92)) (CONG (TRANS (TRANS (CONG (REFL :args (tptp.v_S)) (TRANS (SYMM _let_91) (SYMM _let_61)) (REFL :args (_let_22)) :args (APPLY_UF tptp.c_lessequals)) (SYMM _let_63) _let_62) _let_87) _let_82 (REFL :args (_let_36)) _let_82 :args _let_81) (CONG _let_82 _let_82 (TRANS (TRANS (CONG (SYMM _let_60) _let_82 (REFL :args (_let_35)) _let_82 :args _let_81) (CONG _let_82 _let_82 (TRANS (TRANS (CONG (SYMM _let_59) _let_82 (REFL :args (_let_34)) _let_82 :args _let_81) _let_89 _let_86) _let_90) _let_82 :args _let_81) _let_89 _let_86) _let_90) _let_82 :args _let_81) _let_89 _let_86 (CONG (CONG (REFL :args (tptp.v_x)) (SYMM _let_84) _let_83 _let_83 :args (APPLY_UF tptp.c_Pair)) (REFL :args (_let_30)) _let_79 :args _let_78))) _let_82 (REFL :args (_let_27)) _let_82 :args _let_81) (SYMM _let_80)) (CONG (REFL :args (_let_17)) (SYMM _let_58) _let_79 :args _let_78) :args (=)) (FALSE_INTRO _let_64)) :args ((= _let_28 false)))) :args (_let_41 _let_40 _let_33 _let_44 _let_42 _let_43 _let_45 _let_14 _let_39 _let_38 _let_76 _let_2))) :args (_let_14 _let_2 _let_45 _let_44 _let_76 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_33))) :args (true _let_77)) (CONG (REFL :args (_let_73)) (REFL :args (_let_70)) (REFL :args (_let_75)) (REFL :args (_let_74)) (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_46))) (REFL :args (_let_72)) (REFL :args (_let_71)) (REFL :args (_let_69)) (REFL :args (_let_68)) (REFL :args (_let_67)) (REFL :args (_let_66)) (REFL :args (_let_65)) (REFL :args (_let_47)) :args (or))) :args ((or _let_46 _let_75 _let_74 _let_73 _let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_47))) _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.v_x _let_16 tptp.t_a tptp.v_cl QUANTIFIERS_INST_E_MATCHING ((tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) (tptp.c_Tarski_Opotype_Oorder V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_prod T_a T_a))))) :args (_let_56))) _let_57 :args (_let_41 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.v_S tptp.v_cl tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Tarski_Oglb V_S V_cl T_a)))) :args _let_54)) _let_55 :args (_let_40 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.v_cl tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Tarski_Odual V_cl T_a)))) :args _let_52))) _let_53 :args (_let_39 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.v_S _let_6 tptp.t_a tptp.v_x QUANTIFIERS_INST_E_MATCHING ((tptp.c_Pair V_x (tptp.c_Tarski_Olub V_S V_cl T_a) T_a T_a)))) :args (_let_50))) _let_51 :args (_let_38 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.true _let_32 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_29 :args (_let_33 false _let_26)) :args (_let_47 true _let_46 false _let_45 false _let_44 false _let_14 false _let_43 false _let_42 false _let_2 false _let_41 false _let_40 false _let_39 false _let_38 false _let_33)) _let_29 :args (false true _let_28 false _let_26)) :args (_let_25 _let_24 _let_21 _let_19 _let_14 _let_12 _let_11 _let_10 _let_8 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52 )
% 0.20/0.52 % SZS output end Proof for LAT268-10
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------