TSTP Solution File: LAT268-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT268-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT268-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 04:58:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.03X02735KS/cvc5---1.0.5_6509.p...
% 0.22/0.50 ------- get file name : TPTP file name is LAT268-2
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6509.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Unsatisfiable for LAT268-2
% 0.22/0.53 % SZS output start Proof for LAT268-2
% 0.22/0.53 (
% 0.22/0.53 (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 $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))))) (let ((_let_5 (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_6 (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a))) (let ((_let_7 (tptp.c_in _let_6 tptp.c_Tarski_OPartialOrder _let_5))) (let ((_let_8 (tptp.c_in _let_6 tptp.c_Tarski_OCompleteLattice _let_5))) (let ((_let_9 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_cl $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Tarski_Opotype_Oorder (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) _let_1)) (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) (tptp.c_Tarski_Opotype_Oorder V_cl T_a tptp.tc_Product__Type_Ounit) _let_1)))))) (let ((_let_10 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_cl $$unsorted)) (let ((_let_1 (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (or (not (tptp.c_in V_x V_S T_a)) (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice _let_1)) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder _let_1)) (not (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.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))))))) (let ((_let_11 (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_12 (= tptp.v_A _let_11))) (let ((_let_13 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_14 (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a))) (let ((_let_15 (tptp.c_Pair _let_14 tptp.v_x tptp.t_a tptp.t_a))) (let ((_let_16 (tptp.c_in _let_15 tptp.v_r _let_13))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.c_in tptp.v_x tptp.v_S tptp.t_a))) (let ((_let_19 (tptp.tc_set tptp.t_a))) (let ((_let_20 (tptp.c_lessequals tptp.v_S tptp.v_A _let_19))) (let ((_let_21 (tptp.c_Tarski_Opotype_Oorder _let_6 tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_22 (tptp.c_Tarski_Olub tptp.v_S _let_6 tptp.t_a))) (let ((_let_23 (tptp.c_in (tptp.c_Pair tptp.v_x _let_22 tptp.t_a tptp.t_a) _let_21 _let_13))) (let ((_let_24 (tptp.c_Tarski_Opotype_Opset _let_6 tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_25 (tptp.c_lessequals tptp.v_S _let_24 _let_19))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not _let_7))) (let ((_let_28 (not _let_8))) (let ((_let_29 (not _let_18))) (let ((_let_30 (or _let_29 _let_28 _let_27 _let_26 _let_23))) (let ((_let_31 (_let_10))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (not _let_30))) (let ((_let_34 (= _let_14 _let_22))) (let ((_let_35 (tptp.c_in (tptp.c_Pair tptp.v_x _let_14 tptp.t_a tptp.t_a) _let_21 _let_13))) (let ((_let_36 (not _let_23))) (let ((_let_37 (_let_4))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (tptp.c_in _let_15 _let_1 _let_13))) (let ((_let_40 (not _let_35))) (let ((_let_41 (or _let_40 _let_39))) (let ((_let_42 (_let_9))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (not _let_39))) (let ((_let_45 (ASSUME :args (_let_2)))) (let ((_let_46 (ASSUME :args (_let_17)))) (let ((_let_47 (or))) (let ((_let_48 (and _let_17 _let_2))) (let ((_let_49 (_let_17 _let_2))) (let ((_let_50 (APPLY_UF tptp.c_in))) (let ((_let_51 (REFL :args (_let_13)))) (let ((_let_52 (and _let_40 _let_34))) (let ((_let_53 (_let_40 _let_34))) (let ((_let_54 (ASSUME :args (_let_40)))) (let ((_let_55 (REFL :args (tptp.t_a)))) (let ((_let_56 (ASSUME :args (_let_34)))) (let ((_let_57 (= _let_11 _let_24))) (let ((_let_58 (_let_3))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (ASSUME :args (_let_12)))) (let ((_let_61 (ASSUME :args (_let_20)))) (let ((_let_62 (and _let_20 _let_12 _let_57))) (let ((_let_63 (_let_20 _let_12 _let_57))) (let ((_let_64 (ASSUME :args (_let_57)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.v_x tptp.v_S tptp.t_a _let_6 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_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_28 _let_27 _let_26 _let_23 _let_33))) (ASSUME :args (_let_18)) (ASSUME :args (_let_8)) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_60 _let_64) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.v_S)) (TRANS (SYMM _let_64) (SYMM _let_60)) (REFL :args (_let_19)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_61))) :args _let_63)) :args _let_63)) :args (true _let_62)) _let_61 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.v_cl tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Tarski_Odual V_cl T_a)))) :args _let_58))) _let_59 :args (_let_57 false _let_3)) :args (_let_25 false _let_20 false _let_12 false _let_57)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_54 _let_56) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (REFL :args (tptp.v_x)) (SYMM _let_56) _let_55 _let_55 :args (APPLY_UF tptp.c_Pair)) (REFL :args (_let_21)) _let_51 :args _let_50) (FALSE_INTRO _let_54))) :args _let_53)) :args _let_53)) :args (true _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_35))) (REFL :args ((not _let_34))) (REFL :args (_let_36)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_39 (not _let_41)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_48)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_46 _let_45) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_15)) (SYMM _let_45) _let_51 :args _let_50) (FALSE_INTRO _let_46))) :args _let_49)) :args _let_49)) :args (true _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) (REFL :args ((not _let_2))) (REFL :args (_let_44)) :args _let_47)) _let_46 _let_45 :args (_let_44 true _let_16 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.v_x _let_14 tptp.t_a tptp.v_cl QUANTIFIERS_INST_E_MATCHING ((not (= (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)) true))))) :args _let_42)) _let_43 :args (_let_41 false _let_9)) :args (_let_40 true _let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :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_37)) _let_38 :args (_let_34 false _let_4)) :args (_let_36 true _let_35 false _let_34)) :args (_let_33 false _let_18 false _let_8 false _let_7 false _let_25 true _let_23)) _let_32 :args (false true _let_30 false _let_10)) :args (_let_20 _let_18 _let_17 _let_12 _let_10 _let_9 _let_8 _let_7 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.53 )
% 0.22/0.53 % SZS output end Proof for LAT268-2
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------