TSTP Solution File: SET865-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET865-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 14:40:49 EDT 2023
% Result : Unsatisfiable 0.16s 0.45s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET865-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat Aug 26 08:24:20 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.42 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.QKcIom7Kud/cvc5---1.0.5_23298.p...
% 0.16/0.43 ------- get file name : TPTP file name is SET865-2
% 0.16/0.43 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23298.smt2...
% 0.16/0.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.45 % SZS status Unsatisfiable for SET865-2
% 0.16/0.45 % SZS output start Proof for SET865-2
% 0.16/0.46 (
% 0.16/0.46 (let ((_let_1 (forall ((V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.c_Zorn_Ochain V_S T_a) (tptp.tc_set (tptp.tc_set (tptp.tc_set T_a))))))) (let ((_let_2 (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Union V_c T_a))) (let ((_let_2 (tptp.tc_set T_a))) (or (not (tptp.c_in V_u V_S _let_2)) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set _let_2))) (not (tptp.c_lessequals _let_1 V_u _let_2)) (= _let_1 V_u))))))) (let ((_let_3 (forall ((V_S $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.c_Zorn_OHausdorff__1 V_S T_a) (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))))) (let ((_let_4 (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_5 (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))))) (let ((_let_6 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_lessequals V_U (tptp.v_x V_U) _let_1) (not (tptp.c_in V_U tptp.v_S _let_1))))))) (let ((_let_7 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S _let_1) (not (tptp.c_in V_U tptp.v_S _let_1))))))) (let ((_let_8 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_in (tptp.c_Union V_U tptp.t_a) tptp.v_S _let_1) (not (tptp.c_in V_U (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a) (tptp.tc_set _let_1)))))))) (let ((_let_9 (tptp.tc_set tptp.t_a))) (let ((_let_10 (tptp.tc_set _let_9))) (let ((_let_11 (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a))) (let ((_let_12 (tptp.c_Zorn_OHausdorff__1 tptp.v_S tptp.t_a))) (let ((_let_13 (tptp.c_in _let_12 _let_11 _let_10))) (let ((_let_14 (tptp.c_Union _let_12 tptp.t_a))) (let ((_let_15 (tptp.v_x _let_14))) (let ((_let_16 (tptp.c_lessequals _let_14 _let_15 _let_9))) (let ((_let_17 (= _let_14 _let_15))) (let ((_let_18 (not _let_16))) (let ((_let_19 (not _let_13))) (let ((_let_20 (tptp.c_in _let_15 tptp.v_S _let_9))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_18 _let_17))) (let ((_let_23 (_let_3))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Zorn_Omaxchain V_S T_a)))) :args _let_23)) _let_24 :args (_let_13 false _let_3)))) (let ((_let_26 (tptp.c_in _let_14 tptp.v_S _let_9))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_16 _let_27))) (let ((_let_29 (_let_6))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a))) (let ((_let_32 (tptp.c_in _let_12 _let_31 _let_10))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_26 _let_33))) (let ((_let_35 (_let_8))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (tptp.c_lessequals _let_11 _let_31 (tptp.tc_set _let_10)))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_19 _let_38 _let_32))) (let ((_let_40 (_let_4))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (_let_1))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_26 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_19 _let_32 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Zorn_Ochain V_S T_a)))) :args _let_42)) _let_43 :args (_let_37 false _let_1)) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_12 _let_11 _let_10 _let_31 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_40)) _let_41 :args (_let_39 false _let_4)) :args (_let_32 false _let_37 false _let_13 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U _let_31 _let_10) false))))) :args _let_35)) _let_36 :args (_let_34 false _let_8)) :args (_let_26 false _let_32 false _let_34)))) (let ((_let_45 (not _let_17))) (let ((_let_46 (or _let_45 _let_27))) (let ((_let_47 (_let_5))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Union V_c T_a))) (let ((_let_2 (tptp.tc_set T_a))) (or (not (tptp.c_in V_u V_S _let_2)) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set _let_2))) (not (tptp.c_lessequals _let_1 V_u _let_2)) (= V_u _let_1))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (tptp.tc_set T_a))) (let ((_let_52 (or _let_20 _let_27))) (let ((_let_53 (_let_7))) (let ((_let_54 (ASSUME :args _let_53))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_19 _let_17 _let_18 _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_27 _let_20 (not _let_52)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_x V_U)))) :args _let_53)) _let_54 :args (_let_52 false _let_7)) :args (_let_20 false _let_26 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_15 tptp.v_S tptp.t_a _let_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u _let_51) false)) (not (= (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set _let_51)) false))))) :args (_let_49)))) _let_50 :args (_let_22 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_27 _let_45 (not _let_46)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U tptp.v_S _let_9) false))))) :args _let_47)) _let_48 :args (_let_46 false _let_5)) :args (_let_45 false _let_26 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_16 (not _let_28)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U tptp.v_S _let_9) false))))) :args _let_29)) _let_30 :args (_let_28 false _let_6)) :args (_let_16 false _let_26 false _let_28)) _let_25 :args (false false _let_20 false _let_22 true _let_17 false _let_16 false _let_13)) :args (_let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.16/0.46 )
% 0.16/0.46 % SZS output end Proof for SET865-2
% 0.16/0.46 % cvc5---1.0.5 exiting
% 0.16/0.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------