TSTP Solution File: ANA024-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA024-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 17:14:34 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
% 0.11/0.12  % Problem    : ANA024-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n013.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 18:23:02 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.PvgtmWDc7u/cvc5---1.0.5_6195.p...
% 0.21/0.49  ------- get file name : TPTP file name is ANA024-2
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6195.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 ANA024-2
% 0.21/0.51  % SZS output start Proof for ANA024-2
% 0.21/0.52  (
% 0.21/0.52  (let ((_let_1 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_2 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))) (let ((_let_3 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Oab__group__add T))))) (let ((_let_4 (tptp.v_g tptp.v_x))) (let ((_let_5 (tptp.v_f tptp.v_x))) (let ((_let_6 (tptp.v_k tptp.v_x))) (let ((_let_7 (tptp.c_minus _let_6 _let_4 tptp.t_b))) (let ((_let_8 (tptp.c_lessequals _let_7 (tptp.c_minus _let_5 _let_4 tptp.t_b) tptp.t_b))) (let ((_let_9 (not _let_8))) (let ((_let_10 (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b)))) (let ((_let_11 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a))))) (let ((_let_12 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= V_a (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_b T_a)))))) (let ((_let_13 (tptp.c_lessequals _let_6 _let_5 tptp.t_b))) (let ((_let_14 (tptp.c_plus _let_7 _let_4 tptp.t_b))) (let ((_let_15 (tptp.c_lessequals _let_14 _let_5 tptp.t_b))) (let ((_let_16 (= _let_6 _let_14))) (let ((_let_17 (_let_10))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (not _let_15))) (let ((_let_20 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_8))) (let ((_let_23 (_let_11))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (not _let_1))) (let ((_let_26 (or _let_25 _let_20))) (let ((_let_27 (_let_2))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_20 (not _let_26)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_27)) _let_28 :args (_let_26 false _let_2)) :args (_let_20 false _let_1 false _let_26)))) (let ((_let_30 (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_16))) (let ((_let_33 (_let_12))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (or _let_21 _let_30))) (let ((_let_36 (_let_3))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (not _let_13))) (let ((_let_39 (not _let_16))) (let ((_let_40 (ASSUME :args (_let_13)))) (let ((_let_41 (ASSUME :args (_let_16)))) (let ((_let_42 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_40 _let_41 _let_42) :args (_let_16 _let_19 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_42)) (CONG (SYMM _let_41) (REFL :args (_let_5)) (REFL :args (tptp.t_b)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_40))) :args (_let_13 _let_16 _let_19)) :args ((not (and _let_16 _let_19 _let_13)) SB_LITERAL))) (CONG (REFL :args (_let_39)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_38)) :args (or))) :args ((or _let_15 _let_39 _let_38))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_16 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_30 _let_21 (not _let_35)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_OrderedGroup_Opordered__ab__group__add T) false))))) :args _let_36)) _let_37 :args (_let_35 false _let_3)) :args (_let_30 false _let_20 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.t_b _let_6 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_minus V_a V_b T_a)))) :args _let_33)) _let_34 :args (_let_32 false _let_12)) :args (_let_16 false _let_30 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_8 _let_21 _let_19 (not _let_22)))) (ASSUME :args (_let_9)) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.t_b _let_7 _let_4 _let_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a) true))))) :args _let_23)) _let_24 :args (_let_22 false _let_11)) :args (_let_19 true _let_8 false _let_20 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.v_x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_k V_U)))) :args _let_17)) _let_18 :args (_let_13 false _let_10)) :args (false false _let_16 true _let_15 false _let_13)) :args (_let_12 _let_11 _let_10 _let_9 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.52  )
% 0.21/0.52  % SZS output end Proof for ANA024-2
% 0.21/0.52  % cvc5---1.0.5 exiting
% 0.21/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------