TSTP Solution File: GEG023_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEG023_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 22:40:03 EDT 2023

% Result   : Theorem 0.21s 0.64s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : GEG023_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 00:55:53 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_ARI
% 0.21/0.64  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.R96Svxwq2Y/cvc5---1.0.5_25450.p...
% 0.21/0.64  ------- get file name : TPTP file name is GEG023_1
% 0.21/0.64  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25450.smt2...
% 0.21/0.64  --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.64  % SZS status Theorem for GEG023_1
% 0.21/0.64  % SZS output start Proof for GEG023_1
% 0.21/0.64  (
% 0.21/0.64  (let ((_let_1 (tptp.d tptp.kiel tptp.saarbruecken))) (let ((_let_2 (= (tptp.d tptp.munich tptp.saarbruecken) 360))) (let ((_let_3 (= (tptp.d tptp.munich tptp.frankfurt) 300))) (let ((_let_4 (= (tptp.d tptp.hamburg tptp.berlin) 250))) (let ((_let_5 (tptp.d tptp.hamburg tptp.kiel))) (let ((_let_6 (= _let_5 90))) (let ((_let_7 (= (tptp.d tptp.cologne tptp.frankfurt) 150))) (let ((_let_8 (= (tptp.d tptp.hamburg tptp.frankfurt) 390))) (let ((_let_9 (tptp.d tptp.hamburg tptp.cologne))) (let ((_let_10 (= _let_9 360))) (let ((_let_11 (tptp.d tptp.saarbruecken tptp.cologne))) (let ((_let_12 (= _let_11 190))) (let ((_let_13 (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160))) (let ((_let_14 (= (tptp.d tptp.berlin tptp.frankfurt) 420))) (let ((_let_15 (= (tptp.d tptp.berlin tptp.cologne) 480))) (let ((_let_16 (= (tptp.d tptp.berlin tptp.munich) 510))) (let ((_let_17 (forall ((X tptp.city)) (= (tptp.d X X) 0)))) (let ((_let_18 (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))))) (let ((_let_19 (not (=> (and _let_18 (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_10 _let_8 _let_7 _let_6 _let_4 _let_3 _let_2) (<= _let_1 640))))) (let ((_let_20 (>= _let_1 641))) (let ((_let_21 (tptp.d tptp.cologne tptp.hamburg))) (let ((_let_22 (= _let_9 _let_21))) (let ((_let_23 (tptp.d tptp.saarbruecken tptp.kiel))) (let ((_let_24 (= _let_1 _let_23))) (let ((_let_25 (tptp.d tptp.cologne tptp.kiel))) (let ((_let_26 (* (- 1) _let_23))) (let ((_let_27 (>= (+ _let_11 _let_26 _let_25) 0))) (let ((_let_28 (+ _let_5 _let_21 (* (- 1) _let_25)))) (let ((_let_29 (>= _let_28 0))) (let ((_let_30 (not _let_20))) (let ((_let_31 (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_32 (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_33 (ASSUME :args (_let_19)))) (let ((_let_34 (EQ_RESOLVE _let_33 _let_32))) (let ((_let_35 (NOT_IMPLIES_ELIM1 _let_34))) (let ((_let_36 (AND_ELIM _let_35 :args (3)))) (let ((_let_37 (AND_ELIM _let_35 :args (4)))) (let ((_let_38 (AND_ELIM _let_35 :args (5)))) (let ((_let_39 (AND_ELIM _let_35 :args (6)))) (let ((_let_40 (AND_ELIM _let_35 :args (7)))) (let ((_let_41 (8))) (let ((_let_42 (AND_ELIM _let_35 :args _let_41))) (let ((_let_43 (9))) (let ((_let_44 (AND_ELIM _let_35 :args _let_43))) (let ((_let_45 (AND_ELIM _let_35 :args (10)))) (let ((_let_46 (AND_ELIM _let_35 :args (11)))) (let ((_let_47 (12))) (let ((_let_48 (AND_ELIM _let_35 :args _let_47))) (let ((_let_49 (AND_ELIM _let_35 :args (13)))) (let ((_let_50 (AND_ELIM _let_35 :args (14)))) (let ((_let_51 (EQ_RESOLVE _let_33 (TRANS _let_32 (MACRO_SR_EQ_INTRO (AND_INTRO _let_50 _let_49 _let_48 _let_46 _let_45 _let_44 _let_42 _let_40 _let_39 _let_38 _let_37 _let_36) :args ((not (=> (and _let_18 _let_31 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_10 _let_8 _let_7 _let_6 _let_4 _let_3 _let_2) _let_30)) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_52 (1))) (let ((_let_53 (0))) (let ((_let_54 (AND_INTRO (AND_ELIM _let_35 :args _let_53) (AND_ELIM _let_35 :args _let_52) (AND_ELIM _let_35 :args (2)) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_34)) _let_36 _let_37 _let_38 _let_39 _let_40 _let_42 _let_44 _let_45 _let_46 _let_48 _let_49 _let_50))) (let ((_let_55 (NOT_IMPLIES_ELIM1 _let_51))) (let ((_let_56 (AND_ELIM _let_55 :args _let_53))) (let ((_let_57 (_let_18))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (AND_ELIM _let_55 :args _let_52))) (let ((_let_60 (_let_31))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (not _let_29))) (let ((_let_63 (= 360 _let_21))) (let ((_let_64 (_let_29))) (let ((_let_65 (ASSUME :args (_let_6)))) (let ((_let_66 (ASSUME :args (_let_12)))) (let ((_let_67 (ASSUME :args (_let_24)))) (let ((_let_68 (ASSUME :args (_let_20)))) (let ((_let_69 (ASSUME :args (_let_27)))) (let ((_let_70 (ASSUME :args _let_64))) (let ((_let_71 (ASSUME :args (_let_22)))) (let ((_let_72 (ASSUME :args (_let_10)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_65 (MODUS_PONENS (AND_INTRO _let_71 _let_72) (SCOPE (TRANS (SYMM _let_72) (SYMM (SYMM _let_71))) :args (_let_22 _let_10))) _let_66 _let_67 _let_68 _let_69 _let_70) :args (_let_12 _let_10 _let_6 _let_20 _let_22 _let_24 _let_27 _let_29)) (SCOPE (CONTRA _let_70 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_70 _let_69 _let_68 (MACRO_SR_PRED_TRANSFORM _let_67 :args ((= (+ _let_1 _let_26) 0))) _let_66 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_63)) :args ((= _let_21 360))) _let_65 :args ((- 1.0) (- 1.0) (- 1.0) 1.0 1.0 1.0 1.0)) :args (false)) :args _let_64) :args ((< _let_28 0))) :args (_let_62))) :args (_let_6 _let_63 _let_12 _let_24 _let_20 _let_27 _let_29)) :args ((not (and _let_12 _let_10 _let_6 _let_20 _let_22 _let_24 _let_27 _let_29)) SB_LITERAL))) :args ((or _let_30 (not _let_12) (not _let_10) (not _let_6) (not _let_22) (not _let_24) (not _let_27) _let_62))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.cologne tptp.hamburg tptp.kiel QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_60))) _let_59 :args (_let_29 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.saarbruecken tptp.cologne tptp.kiel QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_60))) _let_59 :args (_let_27 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.kiel tptp.saarbruecken QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_57)) _let_56 :args (_let_24 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.hamburg tptp.cologne QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_57)) _let_56 :args (_let_22 false _let_18)) (AND_ELIM _let_54 :args _let_47) (AND_ELIM _let_54 :args _let_43) (AND_ELIM _let_54 :args _let_41) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_51)) :args (false false _let_29 false _let_27 false _let_24 false _let_22 false _let_6 false _let_10 false _let_12 false _let_20)) :args (_let_19 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.64  )
% 0.21/0.64  % SZS output end Proof for GEG023_1
% 0.21/0.64  % cvc5---1.0.5 exiting
% 0.21/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------