TSTP Solution File: LCL443-10 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL443-10 : TPTP v8.1.2. Released v7.3.0.
% 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 07:02:01 EDT 2023
% Result : Unsatisfiable 0.83s 1.07s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL443-10 : TPTP v8.1.2. Released v7.3.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 18:57:48 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.54 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Vqsd6KsnkL/cvc5---1.0.5_31342.p...
% 0.22/0.55 ------- get file name : TPTP file name is LCL443-10
% 0.22/0.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31342.smt2...
% 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.83/1.07 % SZS status Unsatisfiable for LCL443-10
% 0.83/1.07 % SZS output start Proof for LCL443-10
% 0.83/1.08 (
% 0.83/1.08 (let ((_let_1 (tptp.tc_PropLog_Opl tptp.t_a))) (let ((_let_2 (tptp.c_PropLog_Othms tptp.v_H tptp.t_a))) (let ((_let_3 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_p tptp.v_q tptp.t_a))) (let ((_let_4 (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 _let_3 tptp.c_PropLog_Opl_Ofalse tptp.t_a) _let_2 _let_1))) (let ((_let_5 (not (= _let_4 tptp.true)))) (let ((_let_6 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_q tptp.c_PropLog_Opl_Ofalse tptp.t_a))) (let ((_let_7 (tptp.c_in _let_6 _let_2 _let_1))) (let ((_let_8 (= _let_7 tptp.true))) (let ((_let_9 (tptp.c_in tptp.v_p _let_2 _let_1))) (let ((_let_10 (= _let_9 tptp.true))) (let ((_let_11 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_in V_x (tptp.c_insert V_x V_B T_a) T_a) tptp.true)))) (let ((_let_12 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (= (tptp.ifeq (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) _let_1) tptp.true (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_insert V_a V_G _let_1) T_a) _let_1) tptp.true) tptp.true))))) (let ((_let_13 (forall ((V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (= (tptp.ifeq (tptp.c_in V_p V_H _let_1) tptp.true (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) _let_1) tptp.true) tptp.true))))) (let ((_let_14 (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (= (tptp.ifeq (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H _let_1) T_a) _let_1) tptp.true (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) (tptp.c_PropLog_Othms V_H T_a) _let_1) tptp.true) tptp.true))))) (let ((_let_15 (forall ((V_p $$unsorted) (V_q $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (let ((_let_2 (tptp.c_PropLog_Othms V_H T_a))) (= (tptp.ifeq (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) _let_2 _let_1) tptp.true (tptp.ifeq (tptp.c_in V_p _let_2 _let_1) tptp.true (tptp.c_in V_q _let_2 _let_1) tptp.true) tptp.true) tptp.true)))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_17 (= tptp.true _let_9))) (let ((_let_18 (= tptp.true _let_7))) (let ((_let_19 (= tptp.true _let_4))) (let ((_let_20 (tptp.c_insert _let_3 tptp.v_H _let_1))) (let ((_let_21 (tptp.c_PropLog_Othms _let_20 tptp.t_a))) (let ((_let_22 (tptp.c_in tptp.c_PropLog_Opl_Ofalse _let_21 _let_1))) (let ((_let_23 (= tptp.true (tptp.ifeq _let_22 tptp.true _let_4 tptp.true)))) (let ((_let_24 (tptp.c_in _let_3 _let_20 _let_1))) (let ((_let_25 (= tptp.true _let_24))) (let ((_let_26 (tptp.c_in tptp.v_q _let_21 _let_1))) (let ((_let_27 (tptp.c_in tptp.v_p _let_21 _let_1))) (let ((_let_28 (tptp.ifeq _let_27 tptp.true _let_26 tptp.true))) (let ((_let_29 (tptp.c_in _let_3 _let_21 _let_1))) (let ((_let_30 (= tptp.true (tptp.ifeq _let_29 tptp.true _let_28 tptp.true)))) (let ((_let_31 (tptp.ifeq _let_26 tptp.true _let_22 tptp.true))) (let ((_let_32 (tptp.c_in _let_6 _let_21 _let_1))) (let ((_let_33 (= tptp.true (tptp.ifeq _let_32 tptp.true _let_31 tptp.true)))) (let ((_let_34 (= tptp.true (tptp.ifeq _let_24 tptp.true _let_29 tptp.true)))) (let ((_let_35 (= tptp.true (tptp.ifeq _let_9 tptp.true _let_27 tptp.true)))) (let ((_let_36 (= _let_29 (tptp.ifeq tptp.true tptp.true _let_29 tptp.true)))) (let ((_let_37 (= _let_27 (tptp.ifeq tptp.true tptp.true _let_27 tptp.true)))) (let ((_let_38 (= tptp.true (tptp.ifeq _let_7 tptp.true _let_32 tptp.true)))) (let ((_let_39 (= _let_4 (tptp.ifeq tptp.true tptp.true _let_4 tptp.true)))) (let ((_let_40 (= _let_26 (tptp.ifeq tptp.true tptp.true _let_26 tptp.true)))) (let ((_let_41 (= _let_32 (tptp.ifeq tptp.true tptp.true _let_32 tptp.true)))) (let ((_let_42 (= _let_22 (tptp.ifeq tptp.true tptp.true _let_22 tptp.true)))) (let ((_let_43 (SYMM (ASSUME :args (_let_10))))) (let ((_let_44 (SYMM (ASSUME :args (_let_8))))) (let ((_let_45 (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (= tptp.true (tptp.ifeq (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H _let_1) T_a) _let_1) tptp.true (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) (tptp.c_PropLog_Othms V_H T_a) _let_1) tptp.true)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= tptp.true (tptp.c_in V_x (tptp.c_insert V_x V_B T_a) T_a))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (forall ((V_p $$unsorted) (V_q $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (let ((_let_2 (tptp.c_PropLog_Othms V_H T_a))) (= tptp.true (tptp.ifeq (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) _let_2 _let_1) tptp.true (tptp.ifeq (tptp.c_in V_p _let_2 _let_1) tptp.true (tptp.c_in V_q _let_2 _let_1) tptp.true) tptp.true))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 ((tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) (tptp.c_PropLog_Othms V_H T_a)))) (let ((_let_53 (forall ((V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (= tptp.true (tptp.ifeq (tptp.c_in V_p V_H _let_1) tptp.true (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) _let_1) tptp.true)))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.tc_PropLog_Opl T_a))) (= tptp.true (tptp.ifeq (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) _let_1) tptp.true (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_insert V_a V_G _let_1) T_a) _let_1) tptp.true)))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 (tptp.tc_PropLog_Opl T_a))) (let ((_let_59 ((tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_insert V_a V_G _let_58) T_a) _let_58)))) (let ((_let_60 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 ((tptp.ifeq A A B C)))) (let ((_let_64 (and _let_17 _let_18 _let_23 _let_25 _let_30 _let_33 _let_34 _let_35 _let_36 _let_37 _let_38 _let_39 _let_40 _let_41 _let_42))) (let ((_let_65 (ASSUME :args (_let_39)))) (let ((_let_66 (APPLY_UF tptp.ifeq))) (let ((_let_67 (REFL :args (tptp.true)))) (let ((_let_68 (SYMM _let_44))) (let ((_let_69 (ASSUME :args (_let_33)))) (let ((_let_70 (ASSUME :args (_let_41)))) (let ((_let_71 (ASSUME :args (_let_38)))) (let ((_let_72 (ASSUME :args (_let_40)))) (let ((_let_73 (SYMM _let_72))) (let ((_let_74 (ASSUME :args (_let_35)))) (let ((_let_75 (ASSUME :args (_let_37)))) (let ((_let_76 (ASSUME :args (_let_34)))) (let ((_let_77 (ASSUME :args (_let_25)))) (let ((_let_78 (ASSUME :args (_let_36)))) (let ((_let_79 (ASSUME :args (_let_30)))) (let ((_let_80 (TRANS _let_44 (TRANS _let_68 (SYMM (SYMM _let_79)) (CONG (TRANS (TRANS (SYMM (SYMM _let_78)) (CONG (SYMM (SYMM _let_77)) _let_67 (REFL :args (_let_29)) _let_67 :args _let_66) (SYMM _let_76) _let_44) _let_68) _let_67 (REFL :args (_let_28)) _let_67 :args _let_66) (CONG _let_67 _let_67 (TRANS (CONG (TRANS (TRANS (SYMM (SYMM _let_75)) (CONG _let_43 _let_67 (REFL :args (_let_27)) _let_67 :args _let_66) (SYMM _let_74) _let_44) _let_68) _let_67 (REFL :args (_let_26)) _let_67 :args _let_66) _let_73) _let_67 :args _let_66) _let_73)))) (let ((_let_81 (CONG _let_80 _let_67 (REFL :args (_let_22)) _let_67 :args _let_66))) (let ((_let_82 (ASSUME :args (_let_42)))) (let ((_let_83 (SYMM (SYMM _let_82)))) (let ((_let_84 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_44 _let_43 _let_69 _let_70 _let_71 _let_72 _let_74 _let_75 _let_76 _let_77 _let_78 _let_79 _let_82 _let_84) (SCOPE (TRANS (SYMM (SYMM _let_84)) (CONG (TRANS (TRANS _let_83 _let_81 (CONG (SYMM _let_80) _let_67 (TRANS _let_83 _let_81) _let_67 :args _let_66) (CONG (TRANS _let_44 (TRANS _let_68 (SYMM (SYMM _let_71)) (CONG _let_68 _let_67 (REFL :args (_let_32)) _let_67 :args _let_66) (SYMM _let_70))) _let_67 (REFL :args (_let_31)) _let_67 :args _let_66) (SYMM _let_69) _let_44) _let_68) _let_67 (REFL :args (_let_4)) _let_67 :args _let_66) (SYMM _let_65)) :args (_let_39 _let_18 _let_17 _let_33 _let_41 _let_38 _let_40 _let_35 _let_37 _let_34 _let_25 _let_36 _let_30 _let_42 _let_23))) :args (_let_17 _let_18 _let_23 _let_25 _let_30 _let_33 _let_34 _let_35 _let_36 _let_37 _let_38 _let_39 _let_40 _let_41 _let_42))) :args (true _let_64)) :args ((or _let_19 (not _let_17) (not _let_18) (not _let_23) (not _let_25) (not _let_30) (not _let_33) (not _let_34) (not _let_35) (not _let_36) (not _let_37) (not _let_38) (not _let_39) (not _let_40) (not _let_41) (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.true _let_22 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_42 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.true _let_32 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_41 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.true _let_26 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_40 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.true _let_4 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_39 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_6 tptp.v_H tptp.t_a _let_3 QUANTIFIERS_INST_E_MATCHING _let_59)) :args _let_57)) _let_56 :args (_let_38 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.true _let_27 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_37 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.true _let_29 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_36 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.v_p tptp.v_H tptp.t_a _let_3 QUANTIFIERS_INST_E_MATCHING _let_59)) :args _let_57)) _let_56 :args (_let_35 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_3 _let_20 tptp.t_a QUANTIFIERS_INST_E_MATCHING ((tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) :args (_let_53))) _let_54 :args (_let_34 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.v_q tptp.c_PropLog_Opl_Ofalse tptp.t_a _let_20 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_51)) _let_50 :args (_let_33 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.v_p tptp.v_q tptp.t_a _let_20 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_51)) _let_50 :args (_let_30 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_3 tptp.v_H _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_insert V_x V_B T_a)))) :args (_let_47))) _let_48 :args (_let_25 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.c_PropLog_Opl_Ofalse _let_3 tptp.v_H tptp.t_a QUANTIFIERS_INST_E_MATCHING ((tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) :args (_let_45))) _let_46 :args (_let_23 false _let_45)) (SYMM (ASSUME :args (_let_5))) _let_44 _let_43 :args (false false _let_42 false _let_41 false _let_40 false _let_39 false _let_38 false _let_37 false _let_36 false _let_35 false _let_34 false _let_33 false _let_30 false _let_25 false _let_23 true _let_19 false _let_18 false _let_17)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_8 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.83/1.08 )
% 0.90/1.08 % SZS output end Proof for LCL443-10
% 0.90/1.08 % cvc5---1.0.5 exiting
% 0.90/1.09 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------