TSTP Solution File: ANA044-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA044-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 0.23s 0.54s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ANA044-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri Aug 25 18:38:28 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wTR3eH0Iji/cvc5---1.0.5_3262.p...
% 0.23/0.52  ------- get file name : TPTP file name is ANA044-2
% 0.23/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3262.smt2...
% 0.23/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.54  % SZS status Unsatisfiable for ANA044-2
% 0.23/0.54  % SZS output start Proof for ANA044-2
% 0.23/0.54  (
% 0.23/0.54  (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__cancel__semiring T))))) (let ((_let_3 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (not (tptp.c_lessequals tptp.c_0 V_b T_a)) (not (tptp.c_lessequals tptp.c_0 V_a T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_times V_a V_b T_a) T_a))))) (let ((_let_4 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals tptp.c_0 V_y T_a)) (= (tptp.c_HOL_Oabs V_y T_a) V_y))))) (let ((_let_5 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_6 (tptp.v_k tptp.v_x tptp.v_xa))) (let ((_let_7 (tptp.v_h _let_6))) (let ((_let_8 (tptp.v_l tptp.v_x tptp.v_xa))) (let ((_let_9 (tptp.c_times _let_8 _let_7 tptp.t_b))) (let ((_let_10 (= _let_9 (tptp.c_HOL_Oabs _let_9 tptp.t_b)))) (let ((_let_11 (not _let_10))) (let ((_let_12 (forall ((V_U $$unsorted)) (tptp.c_lessequals tptp.c_0 (tptp.v_h V_U) tptp.t_b)))) (let ((_let_13 (forall ((V_U $$unsorted) (V_V $$unsorted)) (tptp.c_lessequals tptp.c_0 (tptp.v_l V_U V_V) tptp.t_b)))) (let ((_let_14 (tptp.c_lessequals tptp.c_0 _let_9 tptp.t_b))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_10))) (let ((_let_19 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals tptp.c_0 V_y T_a)) (= V_y (tptp.c_HOL_Oabs V_y T_a)))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (not _let_5))) (let ((_let_22 (or _let_21 _let_16))) (let ((_let_23 (_let_1))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (ASSUME :args (_let_5)))) (let ((_let_26 (tptp.c_lessequals tptp.c_0 _let_8 tptp.t_b))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c_lessequals tptp.c_0 _let_7 tptp.t_b))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.t_b))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_27 _let_14))) (let ((_let_33 (_let_3))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (_let_13))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_12))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (or _let_21 _let_30))) (let ((_let_40 (_let_2))) (let ((_let_41 (ASSUME :args _let_40))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_10 _let_17 _let_15 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_14 _let_31 _let_29 _let_27 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_21 _let_30 (not _let_39)))) _let_25 (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_2)) :args (_let_30 false _let_5 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_h V_U)))) :args _let_37)) _let_38 :args (_let_28 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.v_x tptp.v_xa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_l V_U V_V)))) :args _let_35)) _let_36 :args (_let_26 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.t_b _let_7 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_times V_a V_b T_a)))) :args _let_33)) _let_34 :args (_let_32 false _let_3)) :args (_let_14 false _let_30 false _let_28 false _let_26 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_16 (not _let_22)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_23)) _let_24 :args (_let_22 false _let_1)) :args (_let_16 false _let_5 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.t_b _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oabs V_y T_a)))) :args (_let_19))) _let_20 :args (_let_18 false _let_19)) (ASSUME :args (_let_11)) :args (false false _let_14 false _let_16 false _let_18 true _let_10)) :args (_let_13 _let_12 _let_11 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.54  )
% 0.23/0.55  % SZS output end Proof for ANA044-2
% 0.23/0.55  % cvc5---1.0.5 exiting
% 0.23/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------