%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET860-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 14:40:47 EDT 2023

% Result   : Unsatisfiable 0.11s 0.58s
% Output   : Proof 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SET860-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.08  % Command    : do_cvc5 %s %d
% 0.07/0.26  % Computer : n031.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Sat Aug 26 08:44:22 EDT 2023
% 0.07/0.26  % CPUTime    : 
% 0.11/0.38  %----Proving TF0_NAR, FOF, or CNF
% 0.11/0.39  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.VBt02oNLVB/cvc5---1.0.5_26398.p...
% 0.11/0.39  ------- get file name : TPTP file name is SET860-2
% 0.11/0.40  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26398.smt2...
% 0.11/0.40  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.11/0.58  % SZS status Unsatisfiable for SET860-2
% 0.11/0.58  % SZS output start Proof for SET860-2
% 0.11/0.58  (
% 0.11/0.58  (let ((_let_1 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_B T_a)) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_2 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_3 (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_4 (forall ((V_A $$unsorted) (V_X $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_A V_X T_a)) (not (tptp.c_in V_X V_C (tptp.tc_set T_a))) (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a))))) (let ((_let_5 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a)) (tptp.c_in V_A (tptp.c_Main_OUnionE__1 V_A V_C T_a) T_a))))) (let ((_let_6 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a)) (tptp.c_in (tptp.c_Main_OUnionE__1 V_A V_C T_a) V_C (tptp.tc_set T_a)))))) (let ((_let_7 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_lessequals tptp.v_B V_U _let_1) (tptp.c_lessequals V_U tptp.v_A _let_1) (not (tptp.c_in V_U tptp.v_C _let_1))))))) (let ((_let_8 (tptp.tc_set tptp.t_a))) (let ((_let_9 (tptp.c_Union tptp.v_C tptp.t_a))) (let ((_let_10 (tptp.c_lessequals tptp.v_B _let_9 _let_8))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.c_lessequals _let_9 tptp.v_A _let_8))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.c_Main_OsubsetI__1 _let_9 tptp.v_A tptp.t_a))) (let ((_let_15 (tptp.c_Main_OUnionE__1 _let_14 tptp.v_C tptp.t_a))) (let ((_let_16 (tptp.c_Main_OsubsetI__1 tptp.v_B _let_9 tptp.t_a))) (let ((_let_17 (tptp.c_in _let_16 _let_15 tptp.t_a))) (let ((_let_18 (tptp.c_lessequals tptp.v_B _let_15 _let_8))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.c_in _let_16 tptp.v_B tptp.t_a))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_17))) (let ((_let_23 (_let_3))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (not _let_22))) (let ((_let_26 (tptp.c_in _let_16 _let_9 tptp.t_a))) (let ((_let_27 (tptp.c_in _let_15 tptp.v_C _let_8))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_17))) (let ((_let_30 (or _let_29 _let_28 _let_26))) (let ((_let_31 (_let_4))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (tptp.c_in _let_14 _let_9 tptp.t_a))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_27))) (let ((_let_36 (_let_6))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (or _let_33 _let_12))) (let ((_let_39 (_let_2))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_42 (ASSUME :args (_let_13)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_12 _let_33 (not _let_38)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_9 tptp.v_A tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_39)) _let_40 :args (_let_38 false _let_2)) :args (_let_33 true _let_12 false _let_38)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_27 (not _let_35)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_14 tptp.v_C tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a) false))))) :args _let_36)) _let_37 :args (_let_35 false _let_6)) :args (_let_27 false _let_33 false _let_35)))) (let ((_let_45 (not _let_26))) (let ((_let_46 (or _let_45 _let_10))) (let ((_let_47 (_let_1))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_50 (ASSUME :args (_let_11)))) (let ((_let_51 (tptp.c_lessequals _let_15 tptp.v_A _let_8))) (let ((_let_52 (or _let_18 _let_51 _let_28))) (let ((_let_53 (_let_7))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (tptp.c_in _let_14 tptp.v_A tptp.t_a))) (let ((_let_56 (not _let_51))) (let ((_let_57 (tptp.c_in _let_14 _let_15 tptp.t_a))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_55))) (let ((_let_60 ((not (= (tptp.c_in V_c V_A T_a) false)) (not (= (tptp.c_in V_c V_B T_a) true))))) (let ((_let_61 (or _let_34 _let_57))) (let ((_let_62 (_let_5))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (not _let_55))) (let ((_let_65 (or _let_64 _let_12))) (let ((_let_66 (or _let_20 _let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_16 tptp.v_B tptp.t_a _let_15 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_17 _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_10 _let_20 (not _let_66)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.v_B _let_9 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_39)) _let_40 :args (_let_66 false _let_2)) :args (_let_20 true _let_10 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_28 _let_18 _let_51 (not _let_52)))) _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_55 _let_58 _let_56 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_12 _let_64 (not _let_65)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_9 tptp.v_A tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_65 false _let_1)) :args (_let_64 true _let_12 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_34 _let_57 (not _let_61)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_14 tptp.v_C tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a) false))))) :args _let_62)) _let_63 :args (_let_61 false _let_5)) :args (_let_57 false _let_33 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_14 _let_15 tptp.t_a tptp.v_A QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_23)) _let_24 :args (_let_59 false _let_3)) :args (_let_56 true _let_55 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U tptp.v_C _let_8) false))))) :args _let_53)) _let_54 :args (_let_52 false _let_7)) :args (_let_18 false _let_27 true _let_51 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_26 _let_28 _let_29 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_10 _let_45 (not _let_46)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.v_B _let_9 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_46 false _let_1)) :args (_let_45 true _let_10 false _let_46)) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_16 _let_15 tptp.t_a tptp.v_C QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_X V_C (tptp.tc_set T_a)) false)) (not (= (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a) true))))) :args _let_31)) _let_32 :args (_let_30 false _let_4)) :args (_let_29 true _let_26 false _let_27 false _let_30)) :args (_let_25 false _let_20 false _let_18 true _let_17)) _let_24 :args (false true _let_22 false _let_3)) :args (_let_13 _let_11 _let_7 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_in V_c (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a)))) (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c V_A T_a) (tptp.c_in V_c (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a))) (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals (tptp.c_uminus V_A _let_1) (tptp.c_uminus V_B _let_1) _let_1)) (tptp.c_lessequals V_B V_A _let_1)))) (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (tptp.c_lessequals (tptp.c_uminus V_A _let_1) (tptp.c_uminus V_B _let_1) _let_1)))) (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a))) (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a)) (tptp.c_in V_c V_A T_a))) (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x tptp.c_UNIV T_a)) (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))) (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) _let_6 _let_5 _let_4 (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_a tptp.c_emptyset T_a))) (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in V_a V_B T_a)) (tptp.c_in V_a (tptp.c_insert V_b V_B T_a) T_a))) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_insert V_x V_B T_a) T_a)) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a)) (tptp.c_in V_a V_A T_a) (= V_a V_b))) _let_3 _let_2 _let_1 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.11/0.58  )
% 0.11/0.58  % SZS output end Proof for SET860-2
% 0.11/0.58  % cvc5---1.0.5 exiting
% 0.11/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------