TSTP Solution File: GEG025_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEG025_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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 22:40:04 EDT 2023
% Result : Theorem 0.20s 0.60s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEG025_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n019.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 : Mon Aug 28 01:00:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_ARI
% 0.20/0.60 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HpjT2vEVJV/cvc5---1.0.5_7104.p...
% 0.20/0.60 ------- get file name : TPTP file name is GEG025_1
% 0.20/0.60 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7104.smt2...
% 0.20/0.60 --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.60 % SZS status Theorem for GEG025_1
% 0.20/0.60 % SZS output start Proof for GEG025_1
% 0.20/0.60 (
% 0.20/0.60 (let ((_let_1 (= (tptp.inh tptp.kiel) 238281))) (let ((_let_2 (= (tptp.inh tptp.saarbruecken) 175810))) (let ((_let_3 (= (tptp.inh tptp.frankfurt) 671927))) (let ((_let_4 (= (tptp.inh tptp.cologne) 998105))) (let ((_let_5 (= (tptp.inh tptp.munich) 1330440))) (let ((_let_6 (= (tptp.inh tptp.hamburg) 1774224))) (let ((_let_7 (tptp.inh tptp.berlin))) (let ((_let_8 (= _let_7 3442675))) (let ((_let_9 (= (tptp.d tptp.munich tptp.saarbruecken) 360))) (let ((_let_10 (= (tptp.d tptp.munich tptp.frankfurt) 300))) (let ((_let_11 (= (tptp.d tptp.hamburg tptp.berlin) 250))) (let ((_let_12 (= (tptp.d tptp.hamburg tptp.kiel) 90))) (let ((_let_13 (= (tptp.d tptp.cologne tptp.frankfurt) 150))) (let ((_let_14 (= (tptp.d tptp.hamburg tptp.frankfurt) 390))) (let ((_let_15 (= (tptp.d tptp.hamburg tptp.cologne) 360))) (let ((_let_16 (= (tptp.d tptp.saarbruecken tptp.cologne) 190))) (let ((_let_17 (tptp.d tptp.saarbruecken tptp.frankfurt))) (let ((_let_18 (= _let_17 160))) (let ((_let_19 (tptp.d tptp.berlin tptp.frankfurt))) (let ((_let_20 (= _let_19 420))) (let ((_let_21 (= (tptp.d tptp.berlin tptp.cologne) 480))) (let ((_let_22 (= (tptp.d tptp.berlin tptp.munich) 510))) (let ((_let_23 (forall ((X tptp.city)) (= (tptp.d X X) 0)))) (let ((_let_24 (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))))) (let ((_let_25 (not (=> (and _let_24 (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) _let_23 _let_22 _let_21 _let_20 _let_18 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (exists ((X tptp.city)) (and (<= (tptp.d tptp.saarbruecken X) 600) (<= 3000000 (tptp.inh X)))))))) (let ((_let_26 (tptp.d tptp.frankfurt tptp.berlin))) (let ((_let_27 (= _let_19 _let_26))) (let ((_let_28 (tptp.d tptp.saarbruecken tptp.berlin))) (let ((_let_29 (>= _let_28 601))) (let ((_let_30 (+ _let_17 _let_26 (* (- 1) _let_28)))) (let ((_let_31 (>= _let_30 0))) (let ((_let_32 (6))) (let ((_let_33 (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_34 (ASSUME :args (_let_25)))) (let ((_let_35 (EQ_RESOLVE _let_34 _let_33))) (let ((_let_36 (NOT_IMPLIES_ELIM1 _let_35))) (let ((_let_37 (AND_ELIM _let_36 :args (21)))) (let ((_let_38 (AND_ELIM _let_36 :args (20)))) (let ((_let_39 (AND_ELIM _let_36 :args (19)))) (let ((_let_40 (AND_ELIM _let_36 :args (18)))) (let ((_let_41 (AND_ELIM _let_36 :args (17)))) (let ((_let_42 (16))) (let ((_let_43 (AND_ELIM _let_36 :args _let_42))) (let ((_let_44 (AND_ELIM _let_36 :args (15)))) (let ((_let_45 (AND_ELIM _let_36 :args (14)))) (let ((_let_46 (AND_ELIM _let_36 :args (13)))) (let ((_let_47 (AND_ELIM _let_36 :args (12)))) (let ((_let_48 (AND_ELIM _let_36 :args (11)))) (let ((_let_49 (AND_ELIM _let_36 :args (10)))) (let ((_let_50 (AND_ELIM _let_36 :args (9)))) (let ((_let_51 (AND_ELIM _let_36 :args (8)))) (let ((_let_52 (7))) (let ((_let_53 (AND_ELIM _let_36 :args _let_52))) (let ((_let_54 (AND_ELIM _let_36 :args _let_32))) (let ((_let_55 (AND_ELIM _let_36 :args (5)))) (let ((_let_56 (AND_ELIM _let_36 :args (4)))) (let ((_let_57 (AND_ELIM _let_36 :args (3)))) (let ((_let_58 (1))) (let ((_let_59 (0))) (let ((_let_60 (AND_INTRO (AND_ELIM _let_36 :args _let_59) (AND_ELIM _let_36 :args _let_58) (AND_ELIM _let_36 :args (2)) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_35)) _let_57 _let_56 _let_55 _let_54 _let_53 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_41 _let_40 _let_39 _let_38 _let_37))) (let ((_let_61 (forall ((X tptp.city)) (or (>= (tptp.d tptp.saarbruecken X) 601) (not (>= (tptp.inh X) 3000000)))))) (let ((_let_62 (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))))) (let ((_let_63 (EQ_RESOLVE _let_34 (TRANS _let_33 (MACRO_SR_EQ_INTRO (AND_INTRO _let_37 _let_38 _let_39 _let_40 _let_41 _let_43 _let_44 _let_45 _let_46 _let_47 _let_48 _let_49 _let_50 _let_51 _let_53 _let_54 _let_55 _let_56 _let_57) :args ((not (=> (and _let_24 _let_62 _let_23 _let_22 _let_21 _let_20 _let_18 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (not _let_61))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_64 (NOT_IMPLIES_ELIM1 _let_63))) (let ((_let_65 (_let_24))) (let ((_let_66 (>= _let_7 3000000))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_29 _let_67))) (let ((_let_69 (_let_61))) (let ((_let_70 (> _let_7 2999999))) (let ((_let_71 (ASSUME :args (_let_67)))) (let ((_let_72 ((<= _let_7 2999999)))) (let ((_let_73 (false))) (let ((_let_74 (ASSUME :args (_let_8)))) (let ((_let_75 (_let_62))) (let ((_let_76 (= 420 _let_26))) (let ((_let_77 (_let_31))) (let ((_let_78 (ASSUME :args (_let_18)))) (let ((_let_79 (ASSUME :args (_let_29)))) (let ((_let_80 (ASSUME :args _let_77))) (let ((_let_81 (ASSUME :args (_let_27)))) (let ((_let_82 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_78 (MODUS_PONENS (AND_INTRO _let_81 _let_82) (SCOPE (TRANS (SYMM _let_82) (SYMM (SYMM _let_81))) :args (_let_27 _let_20))) _let_79 _let_80) :args (_let_20 _let_18 _let_27 _let_29 _let_31)) (SCOPE (CONTRA _let_80 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_80 _let_79 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_76)) :args ((= _let_26 420))) _let_78 :args ((- 1.0) (- 1.0) 1.0 1.0)) :args _let_73) :args _let_77) :args ((< _let_30 0))) :args ((not _let_31)))) :args (_let_18 _let_76 _let_29 _let_31)) :args ((not (and _let_20 _let_18 _let_27 _let_29 _let_31)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (tptp.saarbruecken tptp.frankfurt tptp.berlin QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_75))) (AND_ELIM _let_64 :args _let_58) :args (_let_31 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_29 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_71 _let_74) :args (_let_8 _let_67)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_72) _let_74 :args (1.0 (- 1.0))) :args _let_73) :args _let_72) :args (_let_70)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_71 :args ((< _let_7 3000000)))) :args ((not _let_70)))) :args (_let_67 _let_8)) :args ((not (and _let_8 _let_67)) SB_LITERAL))) (CONG (REFL :args ((not _let_8))) (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args (or))) (AND_ELIM _let_60 :args _let_42) :args (_let_66 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_69) :args (tptp.berlin QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_69)) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_63)) :args (_let_68 false _let_61)) :args (_let_29 false _let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_65) :args (tptp.berlin tptp.frankfurt QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_65)) (AND_ELIM _let_64 :args _let_59) :args (_let_27 false _let_24)) (AND_ELIM _let_60 :args _let_52) (AND_ELIM _let_60 :args _let_32) :args (false false _let_31 false _let_29 false _let_27 false _let_18 false _let_20)) :args (_let_25 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.61 )
% 0.20/0.61 % SZS output end Proof for GEG025_1
% 0.20/0.61 % cvc5---1.0.5 exiting
% 0.20/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------