TSTP Solution File: LCL429-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL429-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 07:01:55 EDT 2023

% Result   : Unsatisfiable 0.20s 0.66s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL429-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 17:07:25 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Nipkssctdx/cvc5---1.0.5_13302.p...
% 0.20/0.51  ------- get file name : TPTP file name is LCL429-2
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13302.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.66  % SZS status Unsatisfiable for LCL429-2
% 0.20/0.66  % SZS output start Proof for LCL429-2
% 0.20/0.66  (
% 0.20/0.66  (let ((_let_1 (tptp.tc_PropLog_Opl tptp.t_a))) (let ((_let_2 (tptp.tc_set _let_1))) (let ((_let_3 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a))) (let ((_let_4 (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a))) (let ((_let_5 (tptp.c_minus _let_4 (tptp.c_insert _let_3 tptp.v_F _let_1) _let_2))) (let ((_let_6 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms _let_5 tptp.t_a) _let_1))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set _let_1)) tptp.t_a) _let_1))))) (let ((_let_9 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) _let_1)) (not (tptp.c_lessequals V_G V_H (tptp.tc_set _let_1))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) _let_1)))))) (let ((_let_10 (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H _let_1) T_a) _let_1)) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H _let_1) T_a) _let_1)) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) _let_1)))))) (let ((_let_11 (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) _let_1) T_a) V_D _let_1) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) _let_1) T_a) _let_1))))) (let ((_let_12 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus V_B V_C _let_1) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) _let_1) T_a) _let_1))))) (let ((_let_13 (forall ((V_p $$unsorted) (V_t $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (let ((_let_3 (tptp.c_PropLog_Opl_Ovar V_v T_a))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_minus V_t (tptp.c_insert V_v tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 _let_3 tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert _let_3 tptp.c_emptyset _let_1) _let_2) _let_1) _let_2))))))) (let ((_let_14 (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B _let_2) T_a) _let_1)) (not (tptp.c_lessequals V_A V_C _let_2)) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B _let_2) T_a) _let_1))))))) (let ((_let_15 (tptp.c_PropLog_Opl_Oop_A_N_62 _let_3 tptp.c_PropLog_Opl_Ofalse tptp.t_a))) (let ((_let_16 (tptp.c_insert _let_15 _let_5 _let_1))) (let ((_let_17 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms _let_16 tptp.t_a) _let_1))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.c_insert _let_3 _let_5 _let_1))) (let ((_let_20 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms _let_19 tptp.t_a) _let_1))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_18 _let_6))) (let ((_let_23 (_let_10))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (not _let_22))) (let ((_let_26 (tptp.c_insert _let_15 (tptp.c_minus _let_4 (tptp.c_insert _let_3 tptp.c_emptyset _let_1) _let_2) _let_1))) (let ((_let_27 (tptp.c_minus _let_26 tptp.v_F _let_2))) (let ((_let_28 (tptp.c_lessequals _let_27 _let_16 _let_2))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms _let_27 tptp.t_a) _let_1))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_17))) (let ((_let_33 (_let_9))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (tptp.tc_PropLog_Opl T_a))) (let ((_let_36 ((not (= (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) _let_35) false)) (not (= (tptp.c_lessequals V_G V_H (tptp.tc_set _let_35)) false))))) (let ((_let_37 (tptp.c_minus tptp.v_t (tptp.c_insert tptp.v_v tptp.c_emptyset tptp.t_a) (tptp.tc_set tptp.t_a)))) (let ((_let_38 (tptp.c_PropLog_Ohyps tptp.v_p _let_37 tptp.t_a))) (let ((_let_39 (tptp.c_lessequals _let_38 _let_26 _let_2))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus _let_38 tptp.v_F _let_2) tptp.t_a) _let_1))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_30))) (let ((_let_44 (_let_14))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (tptp.tc_PropLog_Opl T_a))) (let ((_let_47 (tptp.tc_set _let_46))) (let ((_let_48 (_let_8))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 ((tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a)))) (let ((_let_51 (_let_13))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (tptp.tc_PropLog_Opl T_a))) (let ((_let_54 (_let_11))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (tptp.tc_set T_a))) (let ((_let_57 (tptp.c_minus _let_4 tptp.v_F _let_2))) (let ((_let_58 (tptp.c_lessequals _let_57 _let_19 _let_2))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms _let_57 tptp.t_a) _let_1))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59 _let_20))) (let ((_let_63 (_let_12))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (tptp.tc_PropLog_Opl T_a))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.v_p _let_3 _let_5 tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H _let_65) T_a) _let_65) false))))) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_6 _let_21 _let_18 _let_25))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_59 _let_61 _let_20 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_4 tptp.v_F _let_1 _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a))))) :args _let_63)) _let_64 :args (_let_58 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.v_t QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_60 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.v_p _let_57 tptp.t_a _let_19 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_33)) _let_34 :args (_let_62 false _let_9)) :args (_let_20 false _let_58 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_29 _let_31 _let_17 (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_15 _let_4 _let_3 _let_1 tptp.v_F QUANTIFIERS_INST_E_MATCHING ((tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) _let_56) T_a) (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) _let_56)))) :args _let_54)) _let_55 :args (_let_28 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_40 _let_42 _let_30 (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.v_p tptp.v_t tptp.v_v tptp.t_a QUANTIFIERS_INST_E_MATCHING ((tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_emptyset _let_53) (tptp.tc_set _let_53))))) :args _let_51)) _let_52 :args (_let_39 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_48)) _let_49 :args (_let_41 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.v_p _let_38 tptp.v_F tptp.t_a _let_26 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B _let_47) T_a) _let_46) false)) (tptp.c_minus V_C V_B _let_47)))) :args _let_44)) _let_45 :args (_let_43 false _let_14)) :args (_let_30 false _let_39 false _let_41 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.v_p _let_27 tptp.t_a _let_16 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_33)) _let_34 :args (_let_32 false _let_9)) :args (_let_17 false _let_28 false _let_30 false _let_32)) :args (_let_25 true _let_6 false _let_20 false _let_17)) _let_24 :args (false true _let_22 false _let_10)) :args (_let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.66  )
% 0.20/0.66  % SZS output end Proof for LCL429-2
% 0.20/0.66  % cvc5---1.0.5 exiting
% 0.20/0.66  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------