TSTP Solution File: SWV260-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 21:50:01 EDT 2023

% Result   : Unsatisfiable 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 07:08:53 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.za8gixnUiS/cvc5---1.0.5_3373.p...
% 0.22/0.51  ------- get file name : TPTP file name is SWV260-2
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3373.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Unsatisfiable for SWV260-2
% 0.22/0.55  % SZS output start Proof for SWV260-2
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (forall ((V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oparts V_H))) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals V_G _let_1 (tptp.tc_set tptp.tc_Message_Omsg))) (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_2 (forall ((V_A $$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 $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_4 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a)) (tptp.c_in V_a V_A T_a) (= V_a V_b))))) (let ((_let_5 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))) (let ((_let_6 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))) (let ((_let_7 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (let ((_let_8 (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg))) (let ((_let_9 (tptp.c_Message_Oparts _let_8))) (let ((_let_10 (tptp.c_in tptp.v_Y _let_9 tptp.tc_Message_Omsg))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.c_in tptp.v_X (tptp.c_Message_Oparts tptp.v_H) tptp.tc_Message_Omsg))) (let ((_let_13 (tptp.c_insert tptp.v_X tptp.v_G tptp.tc_Message_Omsg))) (let ((_let_14 (tptp.c_in tptp.v_Y (tptp.c_Message_Oparts _let_13) tptp.tc_Message_Omsg))) (let ((_let_15 (tptp.c_Main_OsubsetI__1 tptp.v_H _let_9 tptp.tc_Message_Omsg))) (let ((_let_16 (tptp.c_in _let_15 _let_8 tptp.tc_Message_Omsg))) (let ((_let_17 (tptp.c_in _let_15 tptp.v_H tptp.tc_Message_Omsg))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (_let_6))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_19))) (let ((_let_23 (tptp.c_in _let_15 _let_9 tptp.tc_Message_Omsg))) (let ((_let_24 (not _let_16))) (let ((_let_25 (or _let_24 _let_23))) (let ((_let_26 (_let_7))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 ((not (= (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) true))))) (let ((_let_29 (tptp.tc_set tptp.tc_Message_Omsg))) (let ((_let_30 (tptp.c_lessequals tptp.v_H _let_9 _let_29))) (let ((_let_31 (not _let_23))) (let ((_let_32 (or _let_31 _let_30))) (let ((_let_33 (_let_2))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_36 (tptp.c_in tptp.v_X _let_9 tptp.tc_Message_Omsg))) (let ((_let_37 (not _let_30))) (let ((_let_38 (not _let_12))) (let ((_let_39 (or _let_38 _let_37 _let_36))) (let ((_let_40 (_let_1))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((not (= (tptp.c_in V_X (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg) false)) (tptp.c_Message_Oparts V_H)))) (let ((_let_43 (tptp.c_Main_OsubsetI__1 _let_13 _let_9 tptp.tc_Message_Omsg))) (let ((_let_44 (= tptp.v_X _let_43))) (let ((_let_45 (tptp.c_in _let_43 _let_9 tptp.tc_Message_Omsg))) (let ((_let_46 (not _let_36))) (let ((_let_47 (tptp.c_in _let_43 tptp.v_G tptp.tc_Message_Omsg))) (let ((_let_48 (tptp.c_in _let_43 _let_13 tptp.tc_Message_Omsg))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47 _let_44))) (let ((_let_51 (_let_4))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (tptp.c_in _let_43 _let_8 tptp.tc_Message_Omsg))) (let ((_let_54 (not _let_47))) (let ((_let_55 (or _let_54 _let_53))) (let ((_let_56 (_let_5))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (not _let_53))) (let ((_let_59 (or _let_58 _let_45))) (let ((_let_60 (tptp.c_lessequals _let_13 _let_9 _let_29))) (let ((_let_61 (not _let_45))) (let ((_let_62 (or _let_61 _let_60))) (let ((_let_63 (not _let_60))) (let ((_let_64 (not _let_14))) (let ((_let_65 (or _let_64 _let_63 _let_10))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_10 _let_64 _let_63 (not _let_65)))) (ASSUME :args (_let_11)) (ASSUME :args (_let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.v_Y _let_13 _let_8 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_65 false _let_1)) :args (_let_63 true _let_10 false _let_14 false _let_65)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_60 _let_61 (not _let_62)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_13 _let_9 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_62 false _let_2)) :args (_let_61 true _let_60 false _let_62)))) (let ((_let_68 (or _let_48 _let_60))) (let ((_let_69 (_let_3))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_72 (not _let_44))) (let ((_let_73 (and _let_61 _let_44))) (let ((_let_74 (_let_61 _let_44))) (let ((_let_75 (ASSUME :args (_let_61)))) (let ((_let_76 (ASSUME :args (_let_44)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_37 _let_36 (not _let_39)))) (ASSUME :args (_let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_75 _let_76) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_76)) (REFL :args (_let_9)) (REFL :args (tptp.tc_Message_Omsg)) :args (APPLY_UF tptp.c_in)) (FALSE_INTRO _let_75))) :args _let_74)) :args _let_74)) :args (true _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_45))) (REFL :args (_let_72)) (REFL :args (_let_46)) :args (or))) :args ((or _let_45 _let_46 _let_72))) _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_47 _let_44 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_60 _let_48 (not _let_68)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_13 _let_9 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING _let_71)) :args _let_69)) _let_70 :args (_let_68 false _let_3)) :args (_let_48 true _let_60 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_53 _let_54 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_45 _let_58 (not _let_59)))) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_43 _let_8 QUANTIFIERS_INST_E_MATCHING _let_28)) :args _let_26)) _let_27 :args (_let_59 false _let_7)) :args (_let_58 true _let_45 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_43 tptp.v_G tptp.tc_Message_Omsg tptp.v_H QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a) true))))) :args _let_56)) _let_57 :args (_let_55 false _let_5)) :args (_let_54 true _let_53 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_43 tptp.v_X tptp.v_G tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a) false))))) :args _let_51))) _let_52 :args (_let_50 false _let_4)) :args (_let_44 false _let_48 true _let_47 false _let_50)) :args (_let_46 true _let_45 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.v_X tptp.v_H _let_8 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_39 false _let_1)) :args (_let_37 false _let_12 true _let_36 false _let_39)))) (let ((_let_78 (or _let_17 _let_30))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_15 tptp.v_H tptp.tc_Message_Omsg tptp.v_G QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a) true))))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_16 _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_30 _let_17 (not _let_78)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.v_H _let_9 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING _let_71)) :args _let_69)) _let_70 :args (_let_78 false _let_3)) :args (_let_17 true _let_30 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_23 _let_24 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_30 _let_31 (not _let_32)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.v_H _let_9 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_32 false _let_2)) :args (_let_31 true _let_30 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_15 _let_8 QUANTIFIERS_INST_E_MATCHING _let_28)) :args _let_26)) _let_27 :args (_let_25 false _let_7)) :args (_let_24 true _let_23 false _let_25)) :args (_let_22 false _let_17 true _let_16)) _let_21 :args (false true _let_19 false _let_6)) :args (_let_14 _let_12 _let_11 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55  )
% 0.22/0.55  % SZS output end Proof for SWV260-2
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------