TSTP Solution File: LCL430-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL430-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 0.21s 0.58s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : LCL430-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri Aug 25 05:26:52 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.JBt4BRx1NQ/cvc5---1.0.5_12352.p...
% 0.21/0.53  ------- get file name : TPTP file name is LCL430-2
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12352.smt2...
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58  % SZS status Unsatisfiable for LCL430-2
% 0.21/0.58  % SZS output start Proof for LCL430-2
% 0.21/0.58  (
% 0.21/0.58  (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_Opl_Oop_A_N_62 _let_3 tptp.c_PropLog_Opl_Ofalse tptp.t_a))) (let ((_let_5 (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a))) (let ((_let_6 (tptp.c_minus _let_5 (tptp.c_insert _let_4 tptp.v_F _let_1) _let_2))) (let ((_let_7 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms _let_6 tptp.t_a) _let_1))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set _let_1)) tptp.t_a) _let_1))))) (let ((_let_10 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) _let_1)) (not (tptp.c_lessequals V_G V_H (tptp.tc_set _let_1))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) _let_1)))))) (let ((_let_11 (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H _let_1) T_a) _let_1)) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H _let_1) T_a) _let_1)) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) _let_1)))))) (let ((_let_12 (forall ((V_a $$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_13 (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_14 (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$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_insert V_v V_t T_a) T_a) (tptp.c_insert _let_3 (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 _let_3 tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset _let_1) _let_2) _let_1) _let_2))))))) (let ((_let_15 (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_16 (tptp.c_insert _let_3 _let_6 _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 (tptp.c_insert _let_3 (tptp.c_minus _let_5 (tptp.c_insert _let_4 tptp.c_emptyset _let_1) _let_2) _let_1))) (let ((_let_19 (tptp.c_minus _let_18 tptp.v_F _let_2))) (let ((_let_20 (tptp.c_lessequals _let_19 _let_16 _let_2))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms _let_19 tptp.t_a) _let_1))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_17))) (let ((_let_25 (_let_10))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (not _let_24))) (let ((_let_28 (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a))) (let ((_let_29 (tptp.c_PropLog_Ohyps tptp.v_p _let_28 tptp.t_a))) (let ((_let_30 (tptp.c_lessequals _let_29 _let_18 _let_2))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus _let_29 tptp.v_F _let_2) tptp.t_a) _let_1))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_22))) (let ((_let_35 (_let_15))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (tptp.tc_PropLog_Opl T_a))) (let ((_let_38 (tptp.tc_set _let_37))) (let ((_let_39 (_let_9))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a)))) (let ((_let_42 (_let_14))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (tptp.tc_PropLog_Opl T_a))) (let ((_let_45 (_let_12))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (tptp.c_insert _let_4 _let_6 _let_1))) (let ((_let_48 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms _let_47 tptp.t_a) _let_1))) (let ((_let_49 (not _let_48))) (let ((_let_50 (not _let_17))) (let ((_let_51 (or _let_50 _let_49 _let_7))) (let ((_let_52 (_let_11))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (tptp.tc_PropLog_Opl T_a))) (let ((_let_55 (tptp.c_minus _let_5 tptp.v_F _let_2))) (let ((_let_56 (tptp.c_lessequals _let_55 _let_47 _let_2))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms _let_55 tptp.t_a) _let_1))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57 _let_48))) (let ((_let_61 (tptp.tc_PropLog_Opl T_a))) (let ((_let_62 (tptp.c_PropLog_Othms V_G T_a))) (let ((_let_63 (_let_13))) (let ((_let_64 (ASSUME :args _let_63))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.v_p _let_19 tptp.t_a _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) _let_61) true)) _let_62))) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_17 _let_21 _let_23 _let_27))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_7 _let_49 _let_50 (not _let_51)))) (ASSUME :args (_let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_57 _let_59 _let_48 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_5 tptp.v_F _let_1 _let_4 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_56 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.v_t QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_58 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.v_p _let_55 tptp.t_a _let_47 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_p _let_62 _let_61) false)) (not (= (tptp.c_lessequals V_G V_H (tptp.tc_set _let_61)) false))))) :args _let_25)) _let_26 :args (_let_60 false _let_10)) :args (_let_48 false _let_56 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.v_p _let_3 _let_6 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_54) T_a) _let_54) false))))) :args _let_52)) _let_53 :args (_let_51 false _let_11)) :args (_let_50 true _let_7 false _let_48 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_3 _let_5 _let_4 _let_1 tptp.v_F QUANTIFIERS_INST_E_MATCHING ((tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a)))) :args _let_45)) _let_46 :args (_let_20 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_31 _let_33 _let_22 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.v_p tptp.v_v tptp.v_t 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_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset _let_44) (tptp.tc_set _let_44))))) :args _let_42)) _let_43 :args (_let_30 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_32 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.v_p _let_29 tptp.v_F tptp.t_a _let_18 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B _let_38) T_a) _let_37) false)) (tptp.c_minus V_C V_B _let_38)))) :args _let_35)) _let_36 :args (_let_34 false _let_15)) :args (_let_22 false _let_30 false _let_32 false _let_34)) :args (_let_27 true _let_17 false _let_20 false _let_22)) _let_26 :args (false true _let_24 false _let_10)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58  )
% 0.21/0.58  % SZS output end Proof for LCL430-2
% 0.21/0.58  % cvc5---1.0.5 exiting
% 0.21/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------