%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET840-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 14:40:37 EDT 2023

% Result   : Unsatisfiable 0.19s 0.61s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET840-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 11:00:33 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.OY1JAfM7YQ/cvc5---1.0.5_30324.p...
% 0.19/0.49  ------- get file name : TPTP file name is SET840-2
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30324.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.61  % SZS status Unsatisfiable for SET840-2
% 0.19/0.61  % SZS output start Proof for SET840-2
% 0.19/0.61  (
% 0.19/0.61  (let ((_let_1 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_A V_B)))))) (let ((_let_2 (forall ((V_A $$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_3 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_4 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_insert V_x V_B T_a) T_a)))) (let ((_let_5 (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_6 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_b))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_S tptp.t_b) V_U _let_1) (not (tptp.c_in V_U tptp.v_S _let_1))))))) (let ((_let_7 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_b))) (not (tptp.c_lessequals tptp.v_S (tptp.c_insert V_U tptp.c_emptyset _let_1) (tptp.tc_set _let_1))))))) (let ((_let_8 (tptp.c_Union tptp.v_S tptp.t_b))) (let ((_let_9 (tptp.tc_set tptp.t_b))) (let ((_let_10 (tptp.c_insert _let_8 tptp.c_emptyset _let_9))) (let ((_let_11 (tptp.c_Main_OsubsetI__1 tptp.v_S _let_10 _let_9))) (let ((_let_12 (tptp.c_Main_OsubsetI__1 _let_11 _let_8 tptp.t_b))) (let ((_let_13 (tptp.c_in _let_12 _let_8 tptp.t_b))) (let ((_let_14 (tptp.c_in _let_11 tptp.v_S _let_9))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.c_in _let_12 _let_11 tptp.t_b))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13))) (let ((_let_19 (_let_5))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (not _let_18))) (let ((_let_22 (tptp.c_lessequals _let_11 _let_8 _let_9))) (let ((_let_23 (or _let_16 _let_22))) (let ((_let_24 (_let_3))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_27 (= _let_8 _let_11))) (let ((_let_28 (not _let_22))) (let ((_let_29 (tptp.c_lessequals _let_8 _let_11 _let_9))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_27))) (let ((_let_32 (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_33 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (tptp.c_in _let_8 _let_10 _let_9))) (let ((_let_35 (tptp.c_in _let_11 _let_10 _let_9))) (let ((_let_36 (not _let_27))) (let ((_let_37 (_let_4))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (tptp.c_lessequals tptp.v_S _let_10 (tptp.tc_set _let_9)))) (let ((_let_40 (not _let_35))) (let ((_let_41 (or _let_40 _let_39))) (let ((_let_42 (_let_2))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_45 (_let_7))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_8 QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_46 :args ((not _let_39) false _let_7)))) (let ((_let_48 (not _let_34))) (let ((_let_49 (ASSUME :args (_let_40)))) (let ((_let_50 (ASSUME :args (_let_27)))) (let ((_let_51 (ASSUME :args (_let_34)))) (let ((_let_52 (or _let_29 _let_15))) (let ((_let_53 (_let_6))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (or _let_14 _let_39))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_39 _let_14 (not _let_55)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.v_S _let_10 _let_9 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_55 false _let_3)) :args (_let_14 true _let_39 false _let_55)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_28 _let_27 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_15 _let_29 (not _let_52)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U tptp.v_S _let_9) false))))) :args _let_53)) _let_54 :args (_let_52 false _let_6)) :args (_let_29 false _let_14 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_50 _let_49 _let_51) :args (_let_34 _let_40 _let_27)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_51)) (CONG (SYMM (SYMM _let_50)) (REFL :args (_let_10)) (REFL :args (_let_9)) :args (APPLY_UF tptp.c_in)) (FALSE_INTRO _let_49))) :args (_let_27 _let_40 _let_34)) :args ((not (and _let_34 _let_40 _let_27)) SB_LITERAL))) (CONG (REFL :args (_let_48)) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_35))) (REFL :args (_let_36)) :args (or))) :args ((or _let_35 _let_48 _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_39 _let_40 (not _let_41)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.v_S _let_10 _let_9 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_41 false _let_2)) :args (_let_40 true _let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_8 tptp.c_emptyset _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_insert V_x V_B T_a)))) :args _let_37)) _let_38 :args (_let_34 false _let_4)) :args (_let_36 true _let_35 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_8 _let_11 tptp.t_b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)) false))))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_28 false _let_29 true _let_27 false _let_31)))) (let ((_let_58 (not _let_13))) (let ((_let_59 (or _let_58 _let_22))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_12 _let_11 tptp.t_b tptp.v_S QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_A V_X T_a) false)) (not (= (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a) true))))) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_15 _let_13 _let_17 _let_21))) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_22 _let_58 (not _let_59)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_11 _let_8 tptp.t_b QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_59 false _let_2)) :args (_let_58 true _let_22 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_16 (not _let_23)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_11 _let_8 tptp.t_b QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_23 false _let_3)) :args (_let_16 true _let_22 false _let_23)) :args (_let_21 false _let_14 true _let_13 false _let_16)) _let_20 :args (false true _let_18 false _let_5)) :args (_let_7 _let_6 _let_5 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in V_a V_B T_a)) (tptp.c_in V_a (tptp.c_insert V_b V_B T_a) T_a))) _let_4 (forall ((V_a $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.61  )
% 0.19/0.61  % SZS output end Proof for SET840-2
% 0.19/0.62  % cvc5---1.0.5 exiting
% 0.19/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------