TSTP Solution File: ANA009-2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 17:14:28 EDT 2023
% Result : Unsatisfiable 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 18:34:37 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.yppXWMi1XM/cvc5---1.0.5_18581.p...
% 0.21/0.49 ------- get file name : TPTP file name is ANA009-2
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18581.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.51 % SZS status Unsatisfiable for ANA009-2
% 0.21/0.51 % SZS output start Proof for ANA009-2
% 0.21/0.51 (
% 0.21/0.51 (let ((_let_1 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_2 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))))) (let ((_let_3 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))) (let ((_let_4 (tptp.v_lb tptp.v_x))) (let ((_let_5 (tptp.c_uminus _let_4 tptp.t_b))) (let ((_let_6 (tptp.v_f tptp.v_x))) (let ((_let_7 (tptp.c_plus _let_6 _let_5 tptp.t_b))) (let ((_let_8 (tptp.c_lessequals tptp.c_0 _let_7 tptp.t_b))) (let ((_let_9 (not _let_8))) (let ((_let_10 (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_lb V_U) (tptp.v_f V_U) tptp.t_b)))) (let ((_let_11 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_uminus V_a T_a) T_a) tptp.c_0))))) (let ((_let_12 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_c T_a) (tptp.c_plus V_b V_c T_a) T_a))))) (let ((_let_13 (tptp.c_plus _let_4 _let_5 tptp.t_b))) (let ((_let_14 (tptp.c_lessequals _let_13 _let_7 tptp.t_b))) (let ((_let_15 (tptp.c_lessequals _let_4 _let_6 tptp.t_b))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.t_b))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_14))) (let ((_let_20 (_let_12))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_19))) (let ((_let_23 (= tptp.c_0 _let_13))) (let ((_let_24 (not _let_14))) (let ((_let_25 (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_23))) (let ((_let_28 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_plus V_a (tptp.c_uminus V_a T_a) T_a)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (not _let_1))) (let ((_let_31 (or _let_30 _let_25))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (ASSUME :args (_let_1)))) (let ((_let_35 (ASSUME :args (_let_9)))) (let ((_let_36 (and _let_9 _let_23))) (let ((_let_37 (_let_9 _let_23))) (let ((_let_38 (ASSUME :args (_let_23)))) (let ((_let_39 (or _let_30 _let_17))) (let ((_let_40 (_let_3))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (_let_10))) (let ((_let_43 (ASSUME :args _let_42))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.t_b _let_4 _let_6 _let_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_plus V_a V_c T_a) (tptp.c_plus V_b V_c T_a) T_a) true))))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_16 _let_18 _let_14 _let_22))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.v_x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_lb V_U)))) :args _let_42)) _let_43 :args (_let_15 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_30 _let_17 (not _let_39)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_40)) _let_41 :args (_let_39 false _let_3)) :args (_let_17 false _let_1 false _let_39)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_36)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_35 _let_38) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_38) (REFL :args (_let_7)) (REFL :args (tptp.t_b)) :args (APPLY_UF tptp.c_lessequals)) (FALSE_INTRO _let_35))) :args _let_37)) :args _let_37)) :args (true _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) (REFL :args ((not _let_23))) (REFL :args (_let_24)) :args (or))) _let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_23 (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_2)) :args (_let_25 false _let_1 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.t_b _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_uminus V_a T_a)))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_23 false _let_25 false _let_27)) :args (_let_24 true _let_8 false _let_23)) :args (_let_22 false _let_15 false _let_17 true _let_14)) _let_21 :args (false true _let_19 false _let_12)) :args (_let_12 _let_11 _let_10 _let_9 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.51 )
% 0.21/0.52 % SZS output end Proof for ANA009-2
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------