TSTP Solution File: LAT276-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 06:03:32 EDT 2023
% Result : Unsatisfiable 0.16s 0.43s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Aug 24 07:03:56 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.40 %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.41 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.udJf960BXE/cvc5---1.0.5_27776.p...
% 0.16/0.41 ------- get file name : TPTP file name is LAT276-2
% 0.16/0.41 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27776.smt2...
% 0.16/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.43 % SZS status Unsatisfiable for LAT276-2
% 0.16/0.43 % SZS output start Proof for LAT276-2
% 0.16/0.43 (
% 0.16/0.43 (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_x $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_x V_S tptp.t_a)) (not (tptp.c_lessequals V_S tptp.v_A (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Pair V_x (tptp.c_Tarski_Olub V_S tptp.v_cl tptp.t_a) tptp.t_a tptp.t_a) tptp.v_r (tptp.tc_prod tptp.t_a tptp.t_a)))))) (let ((_let_4 (forall ((V_L $$unsorted) (V_S $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (or (not (tptp.c_in V_L tptp.v_A tptp.t_a)) (not (tptp.c_in (tptp.c_Pair (tptp.v_sko__4mP V_L V_S tptp.v_r) V_L tptp.t_a tptp.t_a) tptp.v_r _let_1)) (not (tptp.c_lessequals V_S tptp.v_A (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Pair (tptp.c_Tarski_Olub V_S tptp.v_cl tptp.t_a) V_L tptp.t_a tptp.t_a) tptp.v_r _let_1)))))) (let ((_let_5 (forall ((V_L $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_L tptp.v_A tptp.t_a)) (not (tptp.c_lessequals V_S tptp.v_A (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Pair (tptp.c_Tarski_Olub V_S tptp.v_cl tptp.t_a) V_L tptp.t_a tptp.t_a) tptp.v_r (tptp.tc_prod tptp.t_a tptp.t_a)) (tptp.c_in (tptp.v_sko__4mP V_L V_S tptp.v_r) V_S tptp.t_a))))) (let ((_let_6 (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_7 (= tptp.v_A _let_6))) (let ((_let_8 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_in V_c V_B T_a))))) (let ((_let_9 (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_U tptp.v_xa tptp.t_a tptp.t_a) (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_prod tptp.t_a tptp.t_a)) (not (tptp.c_in V_U tptp.v_S tptp.t_a)) (tptp.c_in tptp.v_xa tptp.v_S tptp.t_a))))) (let ((_let_10 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_11 (tptp.c_Tarski_Olub tptp.v_S tptp.v_cl tptp.t_a))) (let ((_let_12 (tptp.c_Pair tptp.v_xa _let_11 tptp.t_a tptp.t_a))) (let ((_let_13 (tptp.c_in _let_12 _let_1 _let_10))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c_Pair _let_11 tptp.v_xa tptp.t_a tptp.t_a))) (let ((_let_16 (tptp.c_in _let_15 _let_1 _let_10))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_14))) (let ((_let_19 (tptp.c_in tptp.v_xa tptp.v_S tptp.t_a))) (let ((_let_20 (or _let_17 _let_19))) (let ((_let_21 (tptp.c_in tptp.v_xa _let_6 tptp.t_a))) (let ((_let_22 (or _let_21 _let_19))) (let ((_let_23 (forall ((V_V $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_2 (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (or (tptp.c_in (tptp.c_Pair V_V tptp.v_xa tptp.t_a tptp.t_a) _let_2 _let_1) (not (tptp.c_in V_V tptp.v_S tptp.t_a)) (not (tptp.c_in (tptp.c_Pair tptp.v_xa (tptp.c_Tarski_Olub tptp.v_S tptp.v_cl tptp.t_a) tptp.t_a tptp.t_a) _let_2 _let_1)))))))) (let ((_let_24 (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)))) (let ((_let_25 (= _let_1 tptp.v_r))) (let ((_let_26 (tptp.v_sko__4mP tptp.v_xa tptp.v_S tptp.v_r))) (let ((_let_27 (tptp.c_Pair _let_26 tptp.v_xa tptp.t_a tptp.t_a))) (let ((_let_28 (tptp.c_in _let_27 tptp.v_r _let_10))) (let ((_let_29 (tptp.c_in _let_27 _let_1 _let_10))) (let ((_let_30 (SYMM (ASSUME :args (_let_2))))) (let ((_let_31 (tptp.c_in _let_15 tptp.v_r _let_10))) (let ((_let_32 (not _let_24))) (let ((_let_33 (not _let_28))) (let ((_let_34 (tptp.c_in tptp.v_xa tptp.v_A tptp.t_a))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_32 _let_31))) (let ((_let_37 (_let_4))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.v_xa tptp.v_S QUANTIFIERS_INST_E_MATCHING ((tptp.c_Pair (tptp.c_Tarski_Olub V_S tptp.v_cl tptp.t_a) V_L tptp.t_a tptp.t_a)))) :args _let_37)) _let_38 :args (_let_36 false _let_4)))) (let ((_let_40 (not _let_31))) (let ((_let_41 (tptp.c_in _let_12 tptp.v_r _let_10))) (let ((_let_42 (not _let_19))) (let ((_let_43 (or _let_42 _let_32 _let_41))) (let ((_let_44 (_let_3))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (forall ((V_V $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_V tptp.v_xa tptp.t_a tptp.t_a) (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_prod tptp.t_a tptp.t_a)) (not (tptp.c_in V_V tptp.v_S tptp.t_a)))))) (let ((_let_47 (tptp.c_in _let_26 tptp.v_S tptp.t_a))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_29 _let_48))) (let ((_let_50 (or _let_35 _let_32 _let_31 _let_47))) (let ((_let_51 (_let_46))) (let ((_let_52 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Pair V_V tptp.v_xa tptp.t_a tptp.t_a)))) :args _let_51)))) (let ((_let_53 (or))) (let ((_let_54 (not _let_25))) (let ((_let_55 (REFL :args (_let_54)))) (let ((_let_56 (and _let_17 _let_25))) (let ((_let_57 (_let_17 _let_25))) (let ((_let_58 (ASSUME :args (_let_17)))) (let ((_let_59 (APPLY_UF tptp.c_in))) (let ((_let_60 (REFL :args (_let_10)))) (let ((_let_61 (SYMM (SYMM _let_30)))) (let ((_let_62 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_58 _let_30) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_15)) (SYMM _let_61) _let_60 :args _let_59) (FALSE_INTRO _let_58))) :args _let_57)) :args _let_57)) :args (true _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) _let_55 (REFL :args (_let_40)) :args _let_53)))) (let ((_let_63 (ASSUME :args (_let_24)))) (let ((_let_64 (or _let_42 _let_32 _let_34))) (let ((_let_65 (_let_8))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (ASSUME :args (_let_7)))) (let ((_let_68 (not _let_7))) (let ((_let_69 (not _let_21))) (let ((_let_70 (and _let_7 _let_35))) (let ((_let_71 (ASSUME :args (_let_35)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_70)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_67) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.v_xa)) (SYMM _let_67) (REFL :args (tptp.t_a)) :args _let_59) (FALSE_INTRO _let_71))) :args (_let_35 _let_7))) :args (_let_7 _let_35))) :args (true _let_70)) (CONG (REFL :args (_let_68)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) (REFL :args (_let_69)) :args _let_53)) :args ((or _let_69 _let_68 _let_34))) _let_67 (ASSUME :args (_let_22)) (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_32 _let_42 _let_34 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.v_xa tptp.v_S tptp.t_a tptp.v_A QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c V_A T_a) false)) (not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) false))))) :args _let_65)) _let_66 :args (_let_64 false _let_8)) _let_63 :args (_let_34 false _let_7 false _let_21 true _let_19 false _let_64 false _let_24)))) (let ((_let_73 (_let_5))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.v_xa tptp.v_S QUANTIFIERS_INST_E_MATCHING ((tptp.c_Pair (tptp.c_Tarski_Olub V_S tptp.v_cl tptp.t_a) V_L tptp.t_a tptp.t_a)))) :args _let_73)) _let_74 :args (_let_50 false _let_5)))) (let ((_let_76 (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_32 _let_35 _let_31 _let_47 (not _let_50)))))) (let ((_let_77 (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_32 _let_35 _let_31 _let_33 (not _let_36)))))) (let ((_let_78 (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_29 (not _let_49)))))) (let ((_let_79 (and _let_25 _let_33))) (let ((_let_80 (ASSUME :args (_let_33)))) (let ((_let_81 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_79)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_80 _let_30) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_27)) _let_61 _let_60 :args _let_59) (FALSE_INTRO _let_80))) :args (_let_33 _let_25))) :args (_let_25 _let_33))) :args (true _let_79)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_28))) (REFL :args ((not _let_29))) :args _let_53)))) (let ((_let_82 (and _let_25 _let_41))) (let ((_let_83 (ASSUME :args (_let_41)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_82)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_83 _let_30) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_12)) _let_61 _let_60 :args _let_59) (TRUE_INTRO _let_83))) :args (_let_41 _let_25))) :args (_let_25 _let_41))) :args (true _let_82)) :args ((or _let_13 _let_54 (not _let_41)))) _let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_32 _let_42 _let_41 (not _let_43)))) _let_63 (MACRO_RESOLUTION_TRUST _let_81 _let_30 _let_78 _let_77 _let_39 _let_72 _let_63 _let_76 _let_75 _let_72 _let_63 _let_62 _let_30 _let_52 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_46 (= V_V V_U)))) (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) (REORDERING (ASSUME :args (_let_20)) :args ((or _let_19 _let_17))) :args (_let_19 false _let_25 false _let_29 true _let_28 false _let_36 false _let_34 false _let_24 false _let_47 false _let_50 false _let_34 false _let_24 true _let_31 false _let_25 false _let_49 false _let_46 false (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_U tptp.v_xa tptp.t_a tptp.t_a) (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_prod tptp.t_a tptp.t_a)) (not (tptp.c_in V_U tptp.v_S tptp.t_a)))) true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.v_xa tptp.v_S QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_x V_S tptp.t_a) false))))) :args _let_44)) _let_45 :args (_let_43 false _let_3)) :args (_let_41 false _let_24 false _let_19 false _let_43)) :args (_let_13 false _let_25 false _let_41)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_18)) :args ((or _let_14 _let_17))) _let_84 :args (_let_17 false _let_13)) _let_30 :args (_let_40 true _let_16 false _let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_81 (MACRO_RESOLUTION_TRUST _let_78 (MACRO_RESOLUTION_TRUST _let_76 _let_63 _let_72 _let_85 _let_75 :args (_let_47 false _let_24 false _let_34 true _let_31 false _let_50)) (MACRO_RESOLUTION_TRUST _let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) _let_84 :args (_let_46 false _let_13)) :args (_let_49 false _let_46)) :args (_let_29 false _let_47 false _let_49)) (MACRO_RESOLUTION_TRUST _let_77 _let_63 _let_72 _let_85 _let_39 :args (_let_33 false _let_24 false _let_34 true _let_31 false _let_36)) _let_30 :args (false false _let_29 true _let_28 false _let_25)) :args (_let_24 _let_23 _let_22 _let_20 _let_18 _let_9 _let_8 _let_7 _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.16/0.43 )
% 0.16/0.43 % SZS output end Proof for LAT276-2
% 0.16/0.43 % cvc5---1.0.5 exiting
% 0.16/0.43 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------