%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 : Thu Aug 31 10:42:02 EDT 2023

% Result   : Unsatisfiable 0.20s 0.64s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n015.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 13:02:52 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.H2Jce4RNVf/cvc5---1.0.5_6814.p...
% 0.20/0.49  ------- get file name : TPTP file name is NUM027-1
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6814.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.64  % SZS status Unsatisfiable for NUM027-1
% 0.20/0.64  % SZS output start Proof for NUM027-1
% 0.20/0.64  (
% 0.20/0.64  (let ((_let_1 (tptp.equalish tptp.c tptp.n0))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.multiply tptp.a tptp.c))) (let ((_let_4 (tptp.multiply tptp.b tptp.c))) (let ((_let_5 (tptp.less _let_4 _let_3))) (let ((_let_6 (tptp.less tptp.b tptp.a))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.less A B)) (tptp.equalish C tptp.n0) (tptp.less (tptp.multiply A C) (tptp.multiply B C)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.less A B) (tptp.equalish B A) (tptp.less B A))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.less A B)) (not (tptp.equalish A B)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.equalish A B)) (tptp.equalish (tptp.multiply A C) (tptp.multiply B C)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.equalish Y Z)) (tptp.equalish X Z))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equalish X Y)) (tptp.equalish Y X))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.less A B)) (tptp.equalish (tptp.add (tptp.successor (tptp.predecessor_of_1st_minus_2nd B A)) A) B))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.less A B)) (not (tptp.less C A)) (tptp.less C B))))) (let ((_let_16 (tptp.equalish _let_4 _let_3))) (let ((_let_17 (tptp.equalish tptp.b tptp.a))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (_let_11))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_19))) (let ((_let_23 (tptp.less tptp.a tptp.b))) (let ((_let_24 (or _let_23 _let_17 _let_6))) (let ((_let_25 (_let_9))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (tptp.less _let_3 _let_4))) (let ((_let_28 (not _let_23))) (let ((_let_29 (or _let_28 _let_1 _let_27))) (let ((_let_30 (_let_8))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.less _let_3 _let_3))) (let ((_let_33 (not _let_27))) (let ((_let_34 (not _let_5))) (let ((_let_35 (or _let_34 _let_33 _let_32))) (let ((_let_36 (_let_15))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (tptp.equalish _let_3 _let_3))) (let ((_let_39 (not _let_38))) (let ((_let_40 (not _let_32))) (let ((_let_41 (or _let_40 _let_39))) (let ((_let_42 (_let_10))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (tptp.add (tptp.successor (tptp.predecessor_of_1st_minus_2nd _let_3 _let_4)) _let_4))) (let ((_let_45 (tptp.equalish _let_44 _let_3))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.equalish _let_3 _let_44))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46 _let_38))) (let ((_let_50 (_let_12))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (or _let_46 _let_47))) (let ((_let_53 (_let_13))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (or _let_34 _let_45))) (let ((_let_56 (_let_14))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (ASSUME :args (_let_5)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_34 _let_45 (not _let_55)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_4 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less A B) false))))) :args _let_56)) _let_57 :args (_let_55 false _let_14)) :args (_let_45 false _let_5 false _let_55)))) (let ((_let_60 (not _let_16))) (let ((_let_61 (or _let_34 _let_60))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.b tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equalish (tptp.multiply A C) (tptp.multiply B C)) true))))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_16 _let_18 _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_34 _let_60 (not _let_61)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_4 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less A B) false))))) :args _let_42)) _let_43 :args (_let_61 false _let_10)) :args (_let_60 false _let_5 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_6 _let_23 _let_17 (not _let_24)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_1 _let_28 _let_27 (not _let_29)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_33 (not _let_35)))) _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_39 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_46 _let_48 _let_38 (not _let_49)))) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_46 _let_47 (not _let_52)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_44 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equalish X Y) false))))) :args _let_53)) _let_54 :args (_let_52 false _let_13)) :args (_let_47 false _let_45 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_3 _let_44 _let_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equalish X Y) false)) (not (= (tptp.equalish Y Z) false))))) :args _let_50)) _let_51 :args (_let_49 false _let_12)) :args (_let_38 false _let_45 false _let_47 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_3 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equalish A B) false))))) :args _let_42)) _let_43 :args (_let_41 false _let_10)) :args (_let_40 false _let_38 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_4 _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less C A) false)) (not (= (tptp.less C B) true))))) :args _let_36)) _let_37 :args (_let_35 false _let_15)) :args (_let_33 false _let_5 true _let_32 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.multiply A C) (tptp.multiply B C)))) :args _let_30)) _let_31 :args (_let_29 false _let_8)) :args (_let_28 true _let_1 true _let_27 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less B A) true))))) :args _let_25)) _let_26 :args (_let_24 false _let_9)) :args (_let_17 true _let_6 true _let_23 false _let_24)) :args (_let_22 true _let_16 false _let_17)) _let_21 :args (false true _let_19 false _let_11)) :args ((forall ((A $$unsorted)) (tptp.equalish (tptp.add A tptp.n0) A)) (forall ((A $$unsorted) (B $$unsorted)) (tptp.equalish (tptp.add A (tptp.successor B)) (tptp.successor (tptp.add A B)))) (forall ((A $$unsorted)) (tptp.equalish (tptp.multiply A tptp.n0) tptp.n0)) (forall ((A $$unsorted) (B $$unsorted)) (tptp.equalish (tptp.multiply A (tptp.successor B)) (tptp.add (tptp.multiply A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.equalish (tptp.successor A) (tptp.successor B))) (tptp.equalish A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.equalish A B)) (tptp.equalish (tptp.successor A) (tptp.successor B)))) _let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.equalish (tptp.add (tptp.successor A) B) C)) (tptp.less B C))) _let_14 (forall ((X $$unsorted)) (tptp.equalish X X)) _let_13 _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted)) (not (tptp.less A A))) (forall ((A $$unsorted)) (not (tptp.equalish (tptp.successor A) tptp.n0))) _let_8 _let_7 _let_5 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.64  )
% 0.20/0.64  % SZS output end Proof for NUM027-1
% 0.20/0.65  % cvc5---1.0.5 exiting
% 0.20/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------