TSTP Solution File: ANA018-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ANA018-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 : Wed Aug 30 17:14:31 EDT 2023
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA018-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 18:25:54 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1fXGgdP6DN/cvc5---1.0.5_10140.p...
% 0.21/0.49 ------- get file name : TPTP file name is ANA018-2
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10140.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Unsatisfiable for ANA018-2
% 0.21/0.53 % SZS output start Proof for ANA018-2
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))) (let ((_let_2 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))))) (let ((_let_3 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))) (let ((_let_4 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))))) (let ((_let_5 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_lessequals tptp.c_0 V_c T_a)) (tptp.c_lessequals (tptp.c_times V_c V_a T_a) (tptp.c_times V_c V_b T_a) T_a))))) (let ((_let_6 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))))) (let ((_let_7 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))))) (let ((_let_8 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Osemigroup__mult T_a)) (= (tptp.c_times (tptp.c_times V_a V_b T_a) V_c T_a) (tptp.c_times V_a (tptp.c_times V_b V_c T_a) T_a)))))) (let ((_let_9 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_10 (tptp.c_HOL_Oabs (tptp.v_g tptp.v_xa) tptp.t_b))) (let ((_let_11 (tptp.c_times (tptp.c_times tptp.v_ca tptp.v_c tptp.t_b) _let_10 tptp.t_b))) (let ((_let_12 (tptp.c_HOL_Oabs (tptp.v_x tptp.v_xa) tptp.t_b))) (let ((_let_13 (tptp.c_lessequals _let_12 _let_11 tptp.t_b))) (let ((_let_14 (not _let_13))) (let ((_let_15 (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_x V_U) tptp.t_b) (tptp.c_times tptp.v_ca (tptp.c_HOL_Oabs (tptp.v_f V_U) tptp.t_b) tptp.t_b) tptp.t_b)))) (let ((_let_16 (tptp.c_less tptp.c_0 tptp.v_ca tptp.t_b))) (let ((_let_17 (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_f V_U) tptp.t_b) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_g V_U) tptp.t_b) tptp.t_b) tptp.t_b)))) (let ((_let_18 (tptp.c_times tptp.v_c _let_10 tptp.t_b))) (let ((_let_19 (tptp.c_times tptp.v_ca _let_18 tptp.t_b))) (let ((_let_20 (= _let_11 _let_19))) (let ((_let_21 (tptp.c_HOL_Oabs (tptp.v_f tptp.v_xa) tptp.t_b))) (let ((_let_22 (tptp.c_times tptp.v_ca _let_21 tptp.t_b))) (let ((_let_23 (tptp.c_lessequals _let_22 _let_11 tptp.t_b))) (let ((_let_24 (tptp.c_lessequals _let_22 _let_19 tptp.t_b))) (let ((_let_25 (tptp.class_OrderedGroup_Osemigroup__mult tptp.t_b))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_20))) (let ((_let_28 (_let_8))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (not _let_9))) (let ((_let_31 (or _let_30 _let_25))) (let ((_let_32 (_let_3))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (ASSUME :args (_let_9)))) (let ((_let_35 (tptp.c_lessequals _let_12 _let_22 tptp.t_b))) (let ((_let_36 (not _let_35))) (let ((_let_37 (not _let_23))) (let ((_let_38 (tptp.class_Orderings_Oorder tptp.t_b))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_36 _let_13))) (let ((_let_41 (_let_7))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (_let_15))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_38))) (let ((_let_48 (_let_4))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (or _let_30 _let_45))) (let ((_let_51 (_let_2))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_38 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_30 _let_45 (not _let_50)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_51)) _let_52 :args (_let_50 false _let_2)) :args (_let_45 false _let_9 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_LOrder_Ojoin__semilorder T) false))))) :args _let_48)) _let_49 :args (_let_47 false _let_4)) :args (_let_38 false _let_45 false _let_47)))) (let ((_let_54 (tptp.c_lessequals tptp.c_0 tptp.v_ca tptp.t_b))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.c_lessequals _let_21 _let_18 tptp.t_b))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57 _let_55 _let_24))) (let ((_let_61 (_let_5))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (or _let_30 _let_58))) (let ((_let_64 (_let_1))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (not _let_16))) (let ((_let_67 (or _let_39 _let_66 _let_54))) (let ((_let_68 (_let_6))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (_let_17))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (ASSUME :args (_let_24)))) (let ((_let_73 (ASSUME :args (_let_20)))) (let ((_let_74 (ASSUME :args (_let_37)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_72 _let_73 _let_74) :args (_let_20 _let_37 _let_24)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_74)) (CONG (REFL :args (_let_22)) (SYMM (SYMM _let_73)) (REFL :args (tptp.t_b)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_72))) :args (_let_24 _let_20 _let_37)) :args ((not (and _let_20 _let_37 _let_24)) SB_LITERAL))) (CONG (REFL :args ((not _let_20))) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_23))) (REFL :args ((not _let_24))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_57 _let_55 _let_59 _let_24 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.v_xa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_g V_U)))) :args _let_70)) _let_71 :args (_let_56 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_39 _let_54 (not _let_67)))) (ASSUME :args (_let_16)) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.t_b tptp.c_0 tptp.v_ca QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_less V_x V_y T_a) false))))) :args _let_68)) _let_69 :args (_let_67 false _let_6)) :args (_let_54 false _let_16 false _let_38 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_30 _let_58 (not _let_63)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_64)) _let_65 :args (_let_63 false _let_1)) :args (_let_58 false _let_9 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.t_b _let_21 _let_18 tptp.v_ca QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_times V_c V_a T_a) (tptp.c_times V_c V_b T_a) T_a) true))))) :args _let_61)) _let_62 :args (_let_60 false _let_5)) :args (_let_24 false _let_56 false _let_54 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_13 _let_39 _let_36 _let_37 (not _let_40)))) (ASSUME :args (_let_14)) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.v_xa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_x V_U)))) :args _let_43)) _let_44 :args (_let_35 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.t_b _let_22 _let_11 _let_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_x V_y T_a) false)) (not (= (tptp.c_lessequals V_x V_z T_a) true))))) :args _let_41)) _let_42 :args (_let_40 false _let_7)) :args (_let_37 true _let_13 false _let_38 false _let_35 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_20 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_25 (not _let_31)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_32)) _let_33 :args (_let_31 false _let_3)) :args (_let_25 false _let_9 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.t_b tptp.v_ca tptp.v_c _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.c_times (tptp.c_times V_a V_b T_a) V_c T_a)))) :args _let_28)) _let_29 :args (_let_27 false _let_8)) :args (_let_20 false _let_25 false _let_27)) :args (false false _let_24 true _let_23 false _let_20)) :args (_let_17 _let_16 _let_15 _let_14 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for ANA018-2
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------