TSTP Solution File: SET843-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 14:40:38 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
% 0.12/0.13 % Problem : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 15:40:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.5FLijLP3lY/cvc5---1.0.5_7121.p...
% 0.22/0.50 ------- get file name : TPTP file name is SET843-2
% 0.22/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7121.smt2...
% 0.22/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Unsatisfiable for SET843-2
% 0.22/0.53 % SZS output start Proof for SET843-2
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (tptp.tc_set tptp.t_a))) (let ((_let_2 (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a))) (let ((_let_3 (tptp.c_Union _let_2 _let_1))) (let ((_let_4 (= tptp.v_m _let_3))) (let ((_let_5 (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a))) (let ((_let_6 (= tptp.v_m _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (not _let_6))) (let ((_let_9 (not _let_4))) (let ((_let_10 (or _let_9 _let_8))) (let ((_let_11 (tptp.tc_set _let_1))) (let ((_let_12 (tptp.c_in tptp.v_m _let_2 _let_11))) (let ((_let_13 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (= V_m (tptp.c_Zorn_Osucc V_S V_m T_a))) (tptp.c_lessequals V_n V_m _let_1))))))) (let ((_let_14 (forall ((V_Y $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (let ((_let_3 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_lessequals V_Y _let_3 (tptp.tc_set _let_2))) (tptp.c_in (tptp.c_Union V_Y _let_1) _let_3 _let_2)))))))) (let ((_let_15 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_x _let_2 _let_1)) (tptp.c_in (tptp.c_Zorn_Osucc V_S V_x T_a) _let_2 _let_1))))))) (let ((_let_16 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))))) (let ((_let_17 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_set T_a))))) (let ((_let_18 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_A V_B)))))) (let ((_let_19 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_in V_B V_A _let_1)) (tptp.c_lessequals V_B (tptp.c_Union V_A T_a) _let_1)))))) (let ((_let_20 (tptp.c_lessequals _let_5 _let_3 _let_11))) (let ((_let_21 (tptp.c_lessequals _let_5 tptp.v_m _let_11))) (let ((_let_22 (tptp.c_lessequals tptp.v_m _let_3 _let_11))) (let ((_let_23 (tptp.c_lessequals _let_3 tptp.v_m _let_11))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_22))) (let ((_let_26 (or _let_25 _let_24 _let_4))) (let ((_let_27 (tptp.c_in _let_3 _let_2 _let_11))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_12))) (let ((_let_30 (or _let_29 _let_28 _let_8 _let_23))) (let ((_let_31 (or _let_29 _let_22))) (let ((_let_32 (_let_19))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((not (= (tptp.c_in V_B V_A (tptp.tc_set T_a)) false))))) (let ((_let_35 (ASSUME :args (_let_12)))) (let ((_let_36 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_B V_A)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 ((not (= (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)) false))))) (let ((_let_40 (tptp.c_lessequals _let_2 _let_2 (tptp.tc_set _let_11)))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_27))) (let ((_let_43 (_let_14))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (_let_17))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (_let_13))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_8 _let_29 _let_23 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.v_m tptp.v_S tptp.t_a _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Zorn_OTFin V_S T_a) (not (= (tptp.c_lessequals V_n V_m (tptp.tc_set (tptp.tc_set T_a))) true))))) :args _let_47)) _let_48 :args (_let_30 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_27 (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_2 _let_11 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_A (tptp.tc_set T_a)) true))))) :args _let_45)) _let_46 :args (_let_40 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_2 tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING ((tptp.c_Union V_Y (tptp.tc_set T_a)) (tptp.c_Zorn_OTFin V_S T_a)))) :args _let_43)) _let_44 :args (_let_42 false _let_14)) :args (_let_27 false _let_40 false _let_42)) _let_35 (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_4 _let_25 _let_24 (not _let_26)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.v_m _let_3 _let_1 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_38)) _let_37 :args (_let_26 false _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_29 _let_22 (not _let_31)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.v_m _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_31 false _let_19)) :args (_let_22 false _let_12 false _let_31)) (REORDERING (ASSUME :args (_let_7)) :args ((or _let_4 _let_6))) :args (_let_4 false _let_30 false _let_27 false _let_12 true _let_23 false _let_26 false _let_22 false _let_6)))) (let ((_let_50 (tptp.c_in _let_5 _let_2 _let_11))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_20))) (let ((_let_53 (or _let_29 _let_50))) (let ((_let_54 (_let_15))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (not _let_21))) (let ((_let_57 (tptp.c_lessequals tptp.v_m _let_5 _let_11))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_6))) (let ((_let_60 (_let_16))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (and _let_4 _let_20))) (let ((_let_63 (ASSUME :args (_let_20)))) (let ((_let_64 (ASSUME :args (_let_4)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_63 _let_64) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_5)) (SYMM (SYMM _let_64)) (REFL :args (_let_11)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_63))) :args (_let_20 _let_4))) :args (_let_4 _let_20))) :args (true _let_62)) :args ((or _let_9 _let_21 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_6 _let_58 _let_56 (not _let_59)))) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_10)) _let_49 :args (_let_8 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.v_m tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Zorn_Osucc V_S V_x T_a)))) :args _let_60)) _let_61 :args (_let_57 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.v_m _let_5 _let_1 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_38)) _let_37 :args (_let_59 false _let_36)) :args (_let_56 true _let_6 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_20 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_29 _let_50 (not _let_53)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.v_m tptp.v_S tptp.t_a QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_53 false _let_15)) :args (_let_50 false _let_12 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_5 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_52 false _let_19)) :args (_let_20 false _let_50 false _let_52)) _let_49 :args (false true _let_21 false _let_20 false _let_4)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_10 _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.53 )
% 0.22/0.54 % SZS output end Proof for SET843-2
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------