TSTP Solution File: SWW631_2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW631_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 : Fri Sep  1 00:21:45 EDT 2023

% Result   : Theorem 16.92s 17.28s
% Output   : Proof 16.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWW631_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n029.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   : Sun Aug 27 19:26:41 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_ARI
% 16.92/17.28  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Rpbz34FEnI/cvc5---1.0.5_5888.p...
% 16.92/17.28  ------- get file name : TPTP file name is SWW631_2
% 16.92/17.28  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5888.smt2...
% 16.92/17.28  --- Run --finite-model-find --decision=internal at 15...
% 16.92/17.28  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 16.92/17.28  % SZS status Theorem for SWW631_2
% 16.92/17.28  % SZS output start Proof for SWW631_2
% 16.92/17.28  (
% 16.92/17.28  (let ((_let_1 (< 0 tptp.n))) (let ((_let_2 (<= 0 tptp.n))) (let ((_let_3 (not (=> _let_2 (=> _let_2 (=> (and (<= 0 0) _let_1) (forall ((G tptp.map_int_int)) (let ((_let_1 (<= 0 tptp.n))) (let ((_let_2 (tptp.t2tb 0))) (=> (and _let_1 (= G (tptp.tb2t1 (tptp.set tptp.int tptp.int (tptp.const tptp.int tptp.int _let_2) _let_2 (tptp.t2tb (- 1)))))) (=> _let_1 (=> _let_1 (=> (<= 1 (- tptp.n 1)) (forall ((Count Int) (D tptp.map_int_int) (G1 tptp.map_int_int) (I Int)) (let ((_let_1 (- I 1))) (let ((_let_2 (tptp.t2tb1 D))) (let ((_let_3 (tptp.t2tb 0))) (=> (and (<= 1 I) (<= I (- tptp.n 1))) (=> (and (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_2 _let_3)) 0) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 G1) _let_3)) (- 1)) (<= (+ Count (tptp.tb2t (tptp.get tptp.int tptp.int _let_2 (tptp.t2tb _let_1)))) _let_1) (forall ((K Int)) (let ((_let_1 (tptp.t2tb K))) (let ((_let_2 (tptp.t2tb1 G1))) (let ((_let_3 (tptp.get tptp.int tptp.int _let_2 _let_1))) (let ((_let_4 (tptp.t2tb1 D))) (let ((_let_5 (tptp.tb2t (tptp.get tptp.int tptp.int _let_4 _let_1)))) (let ((_let_6 (tptp.tb2t _let_3))) (let ((_let_7 (tptp.f K))) (=> (and (< 0 K) (< K I)) (and (< (tptp.tb2t (tptp.get tptp.int tptp.int _let_2 _let_3)) _let_7) (<= _let_7 _let_6) (< _let_6 K) (< 0 _let_5) (= _let_5 (+ (tptp.tb2t (tptp.get tptp.int tptp.int _let_4 _let_3)) 1)) (forall ((Kqt Int)) (let ((_let_1 (tptp.t2tb1 D))) (let ((_let_2 (tptp.get tptp.int tptp.int (tptp.t2tb1 G1) (tptp.t2tb K)))) (=> (and (< (tptp.tb2t _let_2) Kqt) (< Kqt K)) (< (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 _let_2)) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb Kqt)))))))))))))))))) (forall ((K Int)) (=> (and (<= 0 K) (< K I)) (tptp.path (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 D) (tptp.t2tb K))) K)))) (forall ((J Int) (Count1 Int)) (let ((_let_1 (tptp.t2tb J))) (let ((_let_2 (tptp.f I))) (=> (and (<= _let_2 J) (< J I) (<= (+ Count1 (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 D) _let_1))) (- I 1)) (forall ((K Int)) (let ((_let_1 (tptp.t2tb1 D))) (=> (and (< J K) (< K I)) (< (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb J))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K)))))))) (=> (and (<= 0 tptp.n) (<= 0 J) (< J tptp.n)) (=> (<= _let_2 (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 G1) _let_1))) (forall ((Count2 Int)) (=> (= Count2 (+ Count1 1)) (=> (and (<= 0 J) (< J tptp.n)) (forall ((J1 Int)) (=> (= J1 (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 G1) (tptp.t2tb J)))) (forall ((K Int)) (let ((_let_1 (tptp.t2tb1 D))) (=> (and (< J1 K) (< K I)) (< (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb J1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K))))))))))))))))))))))))))))))))))))) (let ((_let_4 (forall ((K Int)) (let ((_let_1 (tptp.f K))) (=> (and (< 0 K) (< K tptp.n)) (and (<= 0 _let_1) (< _let_1 K))))))) (let ((_let_5 (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)))) (let ((_let_6 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.tb2t (tptp.get tptp.int tptp.int _let_6 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_8 (* (- 1) _let_7))) (let ((_let_9 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_10 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (tptp.get tptp.int tptp.int _let_10 _let_9))) (let ((_let_12 (tptp.tb2t _let_11))) (let ((_let_13 (tptp.t2tb _let_12))) (let ((_let_14 (tptp.tb2t (tptp.get tptp.int tptp.int _let_6 _let_13)))) (let ((_let_15 (+ _let_14 _let_8))) (let ((_let_16 (>= _let_15 0))) (let ((_let_17 (= _let_11 _let_13))) (let ((_let_18 (tptp.tb2t (tptp.get tptp.int tptp.int _let_6 _let_11)))) (let ((_let_19 (* (- 1) _let_18))) (let ((_let_20 (>= (+ _let_7 _let_19) 1))) (let ((_let_21 (not _let_16))) (let ((_let_22 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) 1))) (let ((_let_23 (not _let_22))) (let ((_let_24 (* (- 1) _let_12))) (let ((_let_25 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_24) 1))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_28 (+ _let_27 _let_24))) (let ((_let_29 (>= _let_28 1))) (let ((_let_30 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_31 (not (>= (+ tptp.n _let_30) 1)))) (let ((_let_32 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 0))) (let ((_let_33 (not _let_32))) (let ((_let_34 (forall ((K Int)) (let ((_let_1 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (or (not (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 1)) (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 0) (>= (+ (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K))) (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) 1)))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_30) 1))) (let ((_let_37 (not _let_36))) (let ((_let_38 (* (- 1) _let_27))) (let ((_let_39 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_38) 0)))) (let ((_let_40 (forall ((K Int) (BOUND_VARIABLE_1615 Int)) (let ((_let_1 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (tptp.t2tb K))) (let ((_let_3 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_4 (tptp.get tptp.int tptp.int _let_3 _let_2))) (let ((_let_5 (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 _let_4)))) (let ((_let_6 (* (- 1) (tptp.tb2t _let_4)))) (let ((_let_7 (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 _let_2)))) (let ((_let_8 (tptp.f K))) (or (not (>= K 1)) (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 0) (and (>= (+ _let_8 (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_3 _let_4)))) 1) (not (>= (+ _let_8 _let_6) 1)) (>= (+ K _let_6) 1) (>= _let_7 1) (= _let_7 (+ 1 _let_5)) (or (not (>= (+ BOUND_VARIABLE_1615 _let_6) 1)) (not (>= (+ K (* (- 1) BOUND_VARIABLE_1615)) 1)) (not (>= (+ _let_5 (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb BOUND_VARIABLE_1615))))) 0)))))))))))))))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.t2tb 0))) (let ((_let_43 (tptp.tb2t (tptp.get tptp.int tptp.int _let_10 _let_42)))) (let ((_let_44 (= _let_43 (- 1)))) (let ((_let_45 (not _let_44))) (let ((_let_46 (>= (+ tptp.n (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 1))) (let ((_let_47 (not _let_46))) (let ((_let_48 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 1))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.tb2t (tptp.get tptp.int tptp.int _let_6 _let_42)))) (let ((_let_51 (not (= _let_50 0)))) (let ((_let_52 (or _let_51 _let_49 _let_47 _let_45 _let_41 (not (forall ((K Int)) (or (not (>= K 0)) (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 0) (tptp.path (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.t2tb K))) K)))) _let_39 _let_37 _let_35 _let_33 _let_31 _let_29 _let_26 _let_23 _let_21))) (let ((_let_53 (forall ((D tptp.map_int_int) (I Int) (G1 tptp.map_int_int) (BOUND_VARIABLE_1887 Int) (BOUND_VARIABLE_1885 Int)) (let ((_let_1 (tptp.t2tb1 D))) (let ((_let_2 (tptp.t2tb1 G1))) (let ((_let_3 (tptp.tb2t (tptp.get tptp.int tptp.int _let_2 (tptp.t2tb BOUND_VARIABLE_1885))))) (let ((_let_4 (* (- 1) _let_3))) (let ((_let_5 (tptp.f I))) (let ((_let_6 (* (- 1) BOUND_VARIABLE_1885))) (let ((_let_7 (tptp.t2tb 0))) (or (not (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 _let_7)) 0)) (not (>= I 1)) (not (>= (+ tptp.n (* (- 1) I)) 1)) (not (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_2 _let_7)) (- 1))) (not (forall ((K Int) (BOUND_VARIABLE_1615 Int)) (let ((_let_1 (tptp.t2tb1 D))) (let ((_let_2 (tptp.t2tb K))) (let ((_let_3 (tptp.t2tb1 G1))) (let ((_let_4 (tptp.get tptp.int tptp.int _let_3 _let_2))) (let ((_let_5 (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 _let_4)))) (let ((_let_6 (tptp.tb2t _let_4))) (let ((_let_7 (* (- 1) _let_6))) (let ((_let_8 (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 _let_2)))) (let ((_let_9 (tptp.f K))) (or (not (>= K 1)) (not (>= (+ I (* (- 1) K)) 1)) (and (>= (+ _let_9 (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_3 _let_4)))) 1) (>= (+ _let_6 (* (- 1) _let_9)) 0) (>= (+ K _let_7) 1) (>= _let_8 1) (= _let_8 (+ 1 _let_5)) (or (not (>= (+ BOUND_VARIABLE_1615 _let_7) 1)) (not (>= (+ K (* (- 1) BOUND_VARIABLE_1615)) 1)) (not (>= (+ _let_5 (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb BOUND_VARIABLE_1615))))) 0)))))))))))))))) (not (forall ((K Int)) (or (not (>= K 0)) (not (>= (+ I (* (- 1) K)) 1)) (tptp.path (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 D) (tptp.t2tb K))) K)))) (not (>= (+ BOUND_VARIABLE_1885 (* (- 1) _let_5)) 0)) (not (>= (+ I _let_6) 1)) (not (forall ((K Int)) (let ((_let_1 (tptp.t2tb1 D))) (or (not (>= (+ K (* (- 1) BOUND_VARIABLE_1885)) 1)) (not (>= (+ I (* (- 1) K)) 1)) (>= (+ (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K))) (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb BOUND_VARIABLE_1885))))) 1))))) (not (>= BOUND_VARIABLE_1885 0)) (not (>= (+ tptp.n _let_6) 1)) (>= (+ _let_5 _let_4) 1) (not (>= (+ BOUND_VARIABLE_1887 _let_4) 1)) (not (>= (+ I (* (- 1) BOUND_VARIABLE_1887)) 1)) (not (>= (+ (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb _let_3))) (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb BOUND_VARIABLE_1887))))) 0))))))))))))) (let ((_let_54 (not _let_52))) (let ((_let_55 (or))) (let ((_let_56 (not _let_53))) (let ((_let_57 (_let_56))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57) (REWRITE :args ((=> _let_56 (not (or _let_51 _let_49 _let_47 _let_45 (not (forall ((K Int) (BOUND_VARIABLE_1615 Int)) (let ((_let_1 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (tptp.t2tb K))) (let ((_let_3 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_4 (tptp.get tptp.int tptp.int _let_3 _let_2))) (let ((_let_5 (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 _let_4)))) (let ((_let_6 (tptp.tb2t _let_4))) (let ((_let_7 (* (- 1) _let_6))) (let ((_let_8 (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 _let_2)))) (let ((_let_9 (tptp.f K))) (or (not (>= K 1)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) K)) 1)) (and (>= (+ _let_9 (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_3 _let_4)))) 1) (>= (+ _let_6 (* (- 1) _let_9)) 0) (>= (+ K _let_7) 1) (>= _let_8 1) (= _let_8 (+ 1 _let_5)) (or (not (>= (+ BOUND_VARIABLE_1615 _let_7) 1)) (not (>= (+ K (* (- 1) BOUND_VARIABLE_1615)) 1)) (not (>= (+ _let_5 (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb BOUND_VARIABLE_1615))))) 0)))))))))))))))) (not (forall ((K Int)) (or (not (>= K 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) K)) 1)) (tptp.path (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.t2tb K))) K)))) _let_39 _let_37 (not (forall ((K Int)) (let ((_let_1 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (or (not (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 1)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) K)) 1)) (>= (+ (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K))) (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) 1))))) _let_33 _let_31 _let_29 _let_26 _let_23 _let_21))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_53))) (REFL :args (_let_54)) :args _let_55)) (NOT_OR_ELIM (NOT_IMPLIES_ELIM2 (NOT_IMPLIES_ELIM2 (NOT_IMPLIES_ELIM2 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)))))) :args (2)) :args (_let_54 true _let_53)))) (let ((_let_59 (REFL :args (_let_52)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 14)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_16))) :args _let_55)) :args ((or _let_16 _let_52))) _let_58 :args (_let_16 true _let_52)))) (let ((_let_61 (forall ((J tptp.uni)) (= J (tptp.t2tb (tptp.tb2t J)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.tb2t J)))) :args (_let_61))) _let_62 :args (_let_17 false _let_61)))) (let ((_let_64 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_30))) (let ((_let_65 (>= _let_64 0))) (let ((_let_66 (or _let_26 _let_65 _let_20))) (let ((_let_67 (tptp.tb2t (tptp.get tptp.int tptp.int _let_6 _let_9)))) (let ((_let_68 (= _let_67 (+ 1 _let_18)))) (let ((_let_69 (>= _let_67 1))) (let ((_let_70 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_24) 1))) (let ((_let_71 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_72 (>= (+ _let_12 (* (- 1) _let_71)) 0))) (let ((_let_73 (>= (+ _let_71 (* (- 1) (tptp.tb2t (tptp.get tptp.int tptp.int _let_10 _let_11)))) 1))) (let ((_let_74 (and _let_73 _let_72 _let_70 _let_69 _let_68 _let_66))) (let ((_let_75 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 1))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_37 _let_74))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 4)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_55)) :args ((or _let_40 _let_52))) _let_58 :args (_let_40 true _let_52)))) (let ((_let_79 (_let_40))) (let ((_let_80 ((tptp.t2tb BOUND_VARIABLE_1615) (tptp.t2tb K)))) (let ((_let_81 (ASSUME :args _let_79))) (let ((_let_82 (>= _let_27 0))) (let ((_let_83 (not _let_29))) (let ((_let_84 (and _let_82 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_38) 1)))) (let ((_let_85 (or _let_49 _let_47 _let_84))) (let ((_let_86 (forall ((K Int)) (let ((_let_1 (tptp.f K))) (or (not (>= K 1)) (not (>= (+ tptp.n (* (- 1) K)) 1)) (and (>= _let_1 0) (>= (+ K (* (- 1) _let_1)) 1))))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT 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(X2 tptp.uni)) (tptp.sort (tptp.array A) (tptp.set1 A X X1 X2))) (forall ((A tptp.ty) (A1 tptp.uni) (I Int) (V tptp.uni)) (= (tptp.set1 A A1 I V) (tptp.mk_array A (tptp.length A A1) (tptp.set A tptp.int (tptp.elts A A1) (tptp.t2tb I) V)))) (forall ((A tptp.ty) (X Int) (X1 tptp.uni)) (tptp.sort (tptp.array A) (tptp.make A X X1))) (forall ((A tptp.ty) (N Int) (V tptp.uni)) (= (tptp.make A N V) (tptp.mk_array A N (tptp.const A tptp.int V)))) _let_1 _let_4 (tptp.path 0 0) (forall ((I Int)) (=> (and (<= 0 I) (< I tptp.n)) (forall ((D Int) (J Int)) (=> (tptp.path D J) (=> (and (<= (tptp.f I) J) (< J I)) (tptp.path (+ D 1) I)))))) (forall ((Z Int) (Z1 Int)) (=> (tptp.path Z Z1) (or (and (= Z 0) (= Z1 0)) (exists ((I Int)) (and (<= 0 I) (< I tptp.n) (exists ((D Int) (J Int)) (and (tptp.path D J) (<= (tptp.f I) J) (< J I) (= Z (+ D 1)) (= Z1 I)))))))) (forall ((D Int) (I Int)) (= (tptp.distance D I) (and (tptp.path D I) (forall ((Dqt Int)) (=> (tptp.path Dqt I) (<= D Dqt)))))) (forall ((X tptp.map_int_int)) (tptp.sort (tptp.map tptp.int tptp.int) (tptp.t2tb1 X))) (forall ((I tptp.map_int_int)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb1 (tptp.tb2t1 J)) J)) _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 16.92/17.28  )
% 16.92/17.28  % SZS output end Proof for SWW631_2
% 16.92/17.28  % cvc5---1.0.5 exiting
% 16.92/17.29  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------