TSTP Solution File: ANA043-2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ANA043-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 17:14:42 EDT 2023
% Result : Unsatisfiable 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA043-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n017.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 : Fri Aug 25 18:20:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.UZAlswnmrv/cvc5---1.0.5_13222.p...
% 0.20/0.50 ------- get file name : TPTP file name is ANA043-2
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13222.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Unsatisfiable for ANA043-2
% 0.20/0.54 % SZS output start Proof for ANA043-2
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))) (let ((_let_2 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))) (let ((_let_3 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))) (let ((_let_4 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_lessequals tptp.c_0 V_c T_a)) (tptp.c_lessequals (tptp.c_times V_c V_a T_a) (tptp.c_times V_c V_b T_a) T_a))))) (let ((_let_5 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T_a)) (= (tptp.c_times V_a (tptp.c_times V_b V_c T_a) T_a) (tptp.c_times V_b (tptp.c_times V_a V_c T_a) T_a)))))) (let ((_let_6 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))))) (let ((_let_7 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_8 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.v_xa V_U))) (let ((_let_2 (tptp.v_x V_U))) (let ((_let_3 (tptp.v_k _let_2 _let_1))) (let ((_let_4 (tptp.c_HOL_Oabs (tptp.v_l _let_2 _let_1) tptp.t_b))) (not (tptp.c_lessequals (tptp.c_times _let_4 (tptp.c_HOL_Oabs (tptp.v_f _let_3) tptp.t_b) tptp.t_b) (tptp.c_times V_U (tptp.c_times _let_4 (tptp.c_HOL_Oabs (tptp.v_h _let_3) tptp.t_b) tptp.t_b) tptp.t_b) tptp.t_b))))))))) (let ((_let_9 (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_h V_U) tptp.t_b) tptp.t_b) tptp.t_b)))) (let ((_let_10 (tptp.v_xa tptp.v_c))) (let ((_let_11 (tptp.v_x tptp.v_c))) (let ((_let_12 (tptp.v_k _let_11 _let_10))) (let ((_let_13 (tptp.c_HOL_Oabs (tptp.v_h _let_12) tptp.t_b))) (let ((_let_14 (tptp.v_l _let_11 _let_10))) (let ((_let_15 (tptp.c_HOL_Oabs _let_14 tptp.t_b))) (let ((_let_16 (tptp.c_times tptp.v_c (tptp.c_times _let_15 _let_13 tptp.t_b) tptp.t_b))) (let ((_let_17 (tptp.c_HOL_Oabs (tptp.v_f _let_12) tptp.t_b))) (let ((_let_18 (tptp.c_times _let_15 _let_17 tptp.t_b))) (let ((_let_19 (tptp.c_lessequals _let_18 _let_16 tptp.t_b))) (let ((_let_20 (tptp.c_times tptp.v_c _let_13 tptp.t_b))) (let ((_let_21 (tptp.c_times _let_15 _let_20 tptp.t_b))) (let ((_let_22 (= _let_16 _let_21))) (let ((_let_23 (tptp.c_lessequals _let_18 _let_21 tptp.t_b))) (let ((_let_24 (not _let_19))) (let ((_let_25 (_let_8))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.t_b))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_22))) (let ((_let_30 (_let_5))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (not _let_7))) (let ((_let_33 (or _let_32 _let_27))) (let ((_let_34 (_let_3))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (ASSUME :args (_let_7)))) (let ((_let_37 (tptp.c_lessequals tptp.c_0 _let_15 tptp.t_b))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.c_lessequals _let_17 _let_20 tptp.t_b))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_38 _let_23))) (let ((_let_44 (_let_4))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_37))) (let ((_let_49 (_let_6))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (or _let_32 _let_46))) (let ((_let_52 (_let_1))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_9))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (or _let_32 _let_41))) (let ((_let_57 (_let_2))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (ASSUME :args (_let_23)))) (let ((_let_60 (ASSUME :args (_let_22)))) (let ((_let_61 (ASSUME :args (_let_24)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_59 _let_60 _let_61) :args (_let_24 _let_22 _let_23)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_61)) (CONG (REFL :args (_let_18)) (SYMM (SYMM _let_60)) (REFL :args (tptp.t_b)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_59))) :args (_let_23 _let_22 _let_24)) :args ((not (and _let_24 _let_22 _let_23)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_19))) (REFL :args ((not _let_22))) (REFL :args ((not _let_23))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_40 _let_38 _let_23 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_32 _let_41 (not _let_56)))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_57)) _let_58 :args (_let_56 false _let_2)) :args (_let_41 false _let_7 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_f V_U)))) :args _let_54)) _let_55 :args (_let_39 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_37 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_32 _let_46 (not _let_51)))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_52)) _let_53 :args (_let_51 false _let_1)) :args (_let_46 false _let_7 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.t_b _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oabs V_a T_a)))) :args _let_49)) _let_50 :args (_let_48 false _let_6)) :args (_let_37 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.t_b _let_17 _let_20 _let_15 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_44)) _let_45 :args (_let_43 false _let_4)) :args (_let_23 false _let_41 false _let_39 false _let_37 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_22 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_27 (not _let_33)))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_34)) _let_35 :args (_let_33 false _let_3)) :args (_let_27 false _let_7 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.t_b tptp.v_c _let_15 _let_13 QUANTIFIERS_INST_E_MATCHING ((tptp.c_times V_a (tptp.c_times V_b V_c T_a) T_a)))) :args _let_30)) _let_31 :args (_let_29 false _let_5)) :args (_let_22 false _let_27 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.v_c QUANTIFIERS_INST_ENUM)) :args _let_25)) _let_26 :args (_let_24 false _let_8)) :args (false false _let_23 false _let_22 true _let_19)) :args (_let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for ANA043-2
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------