TSTP Solution File: SWV275-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 21:50:09 EDT 2023

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n022.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
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 04:45:53 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fXQsN31IIJ/cvc5---1.0.5_12918.p...
% 0.19/0.49  ------- get file name : TPTP file name is SWV275-2
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12918.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.53  % SZS status Unsatisfiable for SWV275-2
% 0.19/0.53  % SZS output start Proof for SWV275-2
% 0.19/0.53  (
% 0.19/0.53  (let ((_let_1 (tptp.tc_set tptp.tc_Message_Omsg))) (let ((_let_2 (tptp.c_insert tptp.v_X tptp.v_H tptp.tc_Message_Omsg))) (let ((_let_3 (tptp.c_Message_Osynth _let_2))) (let ((_let_4 (tptp.c_Message_Osynth tptp.v_H))) (let ((_let_5 (tptp.c_insert tptp.v_X _let_4 tptp.tc_Message_Omsg))) (let ((_let_6 (tptp.c_lessequals _let_5 _let_3 _let_1))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_B T_a)) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_9 (forall ((V_A $$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_10 (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_11 (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_12 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_insert V_x V_B T_a) T_a)))) (let ((_let_13 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in V_a V_B T_a)) (tptp.c_in V_a (tptp.c_insert V_b V_B T_a) T_a))))) (let ((_let_14 (forall ((V_G $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.tc_Message_Omsg))) (or (not (tptp.c_lessequals V_G V_H _let_1)) (tptp.c_lessequals (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) _let_1)))))) (let ((_let_15 (forall ((V_X $$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_Osynth V_H) tptp.tc_Message_Omsg))))) (let ((_let_16 (tptp.c_in tptp.v_X _let_2 tptp.tc_Message_Omsg))) (let ((_let_17 (tptp.c_Main_OsubsetI__1 _let_5 _let_3 tptp.tc_Message_Omsg))) (let ((_let_18 (tptp.c_in _let_17 _let_2 tptp.tc_Message_Omsg))) (let ((_let_19 (= tptp.v_X _let_17))) (let ((_let_20 (_let_12))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (tptp.c_in _let_17 _let_3 tptp.tc_Message_Omsg))) (let ((_let_23 (not _let_18))) (let ((_let_24 (or _let_23 _let_22))) (let ((_let_25 (_let_15))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (not _let_22))) (let ((_let_28 (or _let_27 _let_6))) (let ((_let_29 (_let_8))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_32 (ASSUME :args (_let_7)))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_6 _let_27 (not _let_28)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_5 _let_3 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_29)) _let_30 :args (_let_28 false _let_8)) :args (_let_27 true _let_6 false _let_28)))) (let ((_let_34 (tptp.c_in _let_17 _let_4 tptp.tc_Message_Omsg))) (let ((_let_35 (tptp.c_in _let_17 _let_5 tptp.tc_Message_Omsg))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_19))) (let ((_let_38 (_let_11))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (tptp.c_lessequals _let_4 _let_3 _let_1))) (let ((_let_41 (not _let_40))) (let ((_let_42 (not _let_34))) (let ((_let_43 (or _let_42 _let_41 _let_22))) (let ((_let_44 (_let_10))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (tptp.c_lessequals tptp.v_H _let_2 _let_1))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_40))) (let ((_let_49 (_let_14))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (tptp.c_Main_OsubsetI__1 tptp.v_H _let_2 tptp.tc_Message_Omsg))) (let ((_let_52 (tptp.c_in _let_51 tptp.v_H tptp.tc_Message_Omsg))) (let ((_let_53 (or _let_52 _let_46))) (let ((_let_54 (tptp.c_in _let_51 _let_2 tptp.tc_Message_Omsg))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_46))) (let ((_let_57 (not _let_52))) (let ((_let_58 (or _let_57 _let_54))) (let ((_let_59 (_let_9))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_62 (_let_13))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (or _let_35 _let_6))) (let ((_let_65 (ASSUME :args (_let_16)))) (let ((_let_66 (ASSUME :args (_let_19)))) (let ((_let_67 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_65 _let_66 _let_67) :args (_let_16 _let_23 _let_19)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_67)) (CONG (SYMM _let_66) (REFL :args (_let_2)) (REFL :args (tptp.tc_Message_Omsg)) :args (APPLY_UF tptp.c_in)) (TRUE_INTRO _let_65))) :args (_let_16 _let_19 _let_23)) :args ((not (and _let_16 _let_23 _let_19)) SB_LITERAL))) (CONG (REFL :args ((not _let_16))) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_18))) (REFL :args ((not _let_19))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_34 _let_19 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_6 _let_35 (not _let_64)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_5 _let_3 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING _let_61)) :args _let_59)) _let_60 :args (_let_64 false _let_9)) :args (_let_35 true _let_6 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_22 _let_42 _let_41 (not _let_43)))) _let_33 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_40 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_54 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_51 tptp.v_H tptp.tc_Message_Omsg tptp.v_X QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_a (tptp.c_insert V_b V_B T_a) T_a) true))))) :args _let_62)) _let_63 :args (_let_58 false _let_13)) (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_46 _let_55 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.v_H _let_2 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_29)) _let_30 :args (_let_56 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_46 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.v_H _let_2 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING _let_61)) :args _let_59)) _let_60 :args (_let_53 false _let_9)) :args (_let_46 false _let_58 true _let_54 false _let_56 false _let_52 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.v_H _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H)))) :args _let_49)) _let_50 :args (_let_48 false _let_14)) :args (_let_40 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_17 _let_4 tptp.tc_Message_Omsg _let_3 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_44)) _let_45 :args (_let_43 false _let_10)) :args (_let_42 true _let_22 false _let_40 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_17 tptp.v_X _let_4 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_38))) _let_39 :args (_let_37 false _let_11)) :args (_let_19 false _let_35 true _let_34 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_22 _let_23 (not _let_24)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_17 _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) true))))) :args _let_25)) _let_26 :args (_let_24 false _let_15)) :args (_let_23 true _let_22 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.v_X tptp.v_H tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_insert V_x V_B T_a)))) :args _let_20)) _let_21 :args (_let_16 false _let_12)) :args (false false _let_19 true _let_18 false _let_16)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.53  )
% 0.19/0.53  % SZS output end Proof for SWV275-2
% 0.19/0.54  % cvc5---1.0.5 exiting
% 0.19/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------