%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW620_2 : TPTP v8.1.2. Released v6.1.0.
% 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 : Fri Sep  1 00:21:43 EDT 2023

% Result   : Theorem 15.52s 15.76s
% Output   : Proof 15.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SWW620_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n015.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sun Aug 27 21:17:39 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.53  %----Proving TF0_ARI
% 15.52/15.76  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gTMge59iu9/cvc5---1.0.5_1600.p...
% 15.52/15.76  ------- get file name : TPTP file name is SWW620_2
% 15.52/15.76  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1600.smt2...
% 15.52/15.76  --- Run --finite-model-find --decision=internal at 15...
% 15.52/15.76  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.52/15.76  % SZS status Theorem for SWW620_2
% 15.52/15.76  % SZS output start Proof for SWW620_2
% 15.52/15.76  (
% 15.52/15.76  (let ((_let_1 (not (forall ((A Int) (A1 tptp.map_int_elt3) (Lo Int)) (=> (and (<= 0 A) (<= 0 Lo) (< Lo A)) (tptp.sorted_sub4 (tptp.tb2t10 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 A1))) Lo (+ Lo 1))))))) (let ((_let_2 (forall ((A tptp.array_elt3) (L Int) (U Int)) (= (tptp.sorted_sub4 A L U) (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb10 A))) (=> (and (<= L I1) (<= I1 I2) (< I2 U)) (tptp.le4 (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I1)) (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I2)))))))))) (let ((_let_3 (forall ((X tptp.elt6) (Y tptp.elt6)) (or (tptp.le4 X Y) (tptp.le4 Y X))))) (let ((_let_4 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120)))) (let ((_let_5 (>= _let_4 1))) (let ((_let_6 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_121))) (let ((_let_7 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120 _let_6))) (let ((_let_8 (>= _let_7 1))) (let ((_let_9 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6))) (let ((_let_10 (>= _let_9 0))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_121))) (let ((_let_12 (tptp.tb2t10 (tptp.mk_array1 tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_13 (tptp.t2tb10 _let_12))) (let ((_let_14 (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_121)))) (let ((_let_15 (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120)))) (let ((_let_16 (tptp.le4 _let_15 _let_14))) (let ((_let_17 (not _let_10))) (let ((_let_18 (or _let_5 _let_8 _let_17 _let_16))) (let ((_let_19 (not _let_5))) (let ((_let_20 (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb10 (tptp.tb2t10 (tptp.mk_array1 tptp.elt7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (or (not (>= (+ I1 _let_2) 0)) (>= (+ I1 (* (- 1) I2)) 1) (>= (+ I2 _let_2) 1) (tptp.le4 (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I1)) (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I2))))))))) (let ((_let_21 (not _let_18))) (let ((_let_22 (+ 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_23 (tptp.sorted_sub4 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22))) (let ((_let_24 (= _let_23 _let_20))) (let ((_let_25 (not _let_20))) (let ((_let_26 (forall ((A tptp.array_elt3) (L Int) (U Int)) (= (tptp.sorted_sub4 A L U) (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb10 A))) (let ((_let_2 (* (- 1) I2))) (or (>= (+ L (* (- 1) I1)) 1) (>= (+ I1 _let_2) 1) (not (>= (+ U _let_2) 1)) (tptp.le4 (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I1)) (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I2))))))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_29 (or (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0)) (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28) 1)) _let_23))) (let ((_let_30 (forall ((A Int) (A1 tptp.map_int_elt3) (Lo Int)) (or (not (>= A 0)) (not (>= Lo 0)) (not (>= (+ A (* (- 1) Lo)) 1)) (tptp.sorted_sub4 (tptp.tb2t10 (tptp.mk_array1 tptp.elt7 A (tptp.t2tb12 A1))) Lo (+ 1 Lo)))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or))) (let ((_let_34 (not _let_30))) (let ((_let_35 (_let_25))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_35)) :args _let_35) (REWRITE :args ((=> _let_25 (not (or (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120 _let_28) 0)) _let_8 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_121 _let_28) 1) _let_16))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_20))) (REFL :args (_let_21)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_24)) :args ((or _let_23 _let_25 (not _let_24)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 3)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args (_let_34))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_33)) _let_32 :args (_let_31 true _let_30)) :args ((not _let_23) true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sorted_sub4 A L U)))) :args (_let_26)))) _let_27 :args (_let_24 false _let_26)) :args (_let_25 true _let_23 false _let_24)) :args (_let_21 true _let_20)))) (let ((_let_37 (not _let_8))) (let ((_let_38 (tptp.le4 _let_14 _let_15))) (let ((_let_39 (not _let_11))) (let ((_let_40 (or _let_16 _let_38))) (let ((_let_41 (_let_3))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (not _let_16))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 3)) _let_36 :args (_let_43 true _let_18)))) (let ((_let_45 (not _let_38))) (let ((_let_46 (_let_39))) (let ((_let_47 (ASSUME :args (_let_38)))) (let ((_let_48 (ASSUME :args (_let_11)))) (let ((_let_49 (CONG (CONG (REFL :args (tptp.elt7)) (REFL :args (_let_13)) (SYMM _let_48) :args (APPLY_UF tptp.get2)) :args (APPLY_UF tptp.tb2t11)))) (let ((_let_50 (ASSUME :args (_let_43)))) (let ((_let_51 (_let_17))) (let ((_let_52 (_let_10))) (let ((_let_53 (ASSUME :args (_let_19)))) (let ((_let_54 (ASSUME :args _let_46))) (let ((_let_55 (ASSUME :args (_let_37)))) (let ((_let_56 (ASSUME :args _let_52))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_53 _let_55 _let_54 _let_56) :args (_let_19 _let_10 _let_37 _let_39)) (SCOPE (CONTRA _let_56 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_56 (INT_TIGHT_UB (ARITH_TRICHOTOMY (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_55 :args ((< _let_7 1)))) (MACRO_SR_PRED_TRANSFORM _let_54 :args ((not (= _let_7 0)))) :args ((< _let_7 0)))) (MACRO_SR_PRED_TRANSFORM _let_53 :args ((< _let_4 1))) :args ((- 1.0) 1.0 1.0)) :args (false)) :args _let_52) :args ((< _let_9 0))) :args _let_51)) :args (_let_19 _let_37 _let_39 _let_10)) :args ((not (and _let_19 _let_10 _let_37 _let_39)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_5))) (REFL :args _let_51) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_8))) (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_11))) :args _let_33)) :args ((or _let_8 _let_5 _let_17 _let_11))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_48 _let_50) :args (_let_11 _let_43 _let_38)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_50)) (CONG (SYMM _let_49) _let_49 :args (APPLY_UF tptp.le4)) (TRUE_INTRO _let_47))) :args (_let_38 _let_11 _let_43)) :args ((not (and _let_11 _let_43 _let_38)) SB_LITERAL))) (CONG (REFL :args _let_46) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_16))) (REFL :args (_let_45)) :args _let_33)) :args ((or _let_16 _let_39 _let_45))) _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_16 _let_38 (not _let_40)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_15 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.le4 X Y) true))))) :args _let_41)) _let_42 :args (_let_40 false _let_3)) :args (_let_38 true _let_16 false _let_40)) :args (_let_39 true _let_16 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 2)) (CONG (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_10))) :args _let_33)) :args ((or _let_10 _let_18))) _let_36 :args (_let_10 true _let_18)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 1)) _let_36 :args (_let_37 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_18 0)) :args ((or _let_19 _let_18))) _let_36 :args (_let_19 true _let_18)) :args (false true _let_11 false _let_10 true _let_8 true _let_5)) :args ((forall ((A tptp.ty)) (tptp.sort1 A (tptp.witness1 A))) (forall ((A tptp.ty) (X tptp.bool1) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 A (tptp.match_bool1 A X X1 X2))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z) (= (tptp.match_bool1 A tptp.true1 Z Z1) Z))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z1) (= (tptp.match_bool1 A tptp.false1 Z Z1) Z1))) (not (= tptp.true1 tptp.false1)) (forall ((U tptp.bool1)) (or (= U tptp.true1) (= U tptp.false1))) (forall ((U tptp.tuple02)) (= U tptp.tuple03)) (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 B (tptp.get B A X X1))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 (tptp.map A B) (tptp.set B A X X1 X2))) (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A1 tptp.uni) (A2 tptp.uni) (B1 tptp.uni)) (=> (tptp.sort1 B B1) (=> (= A1 A2) (= (tptp.get B A (tptp.set B A M A1 B1) A2) B1)))) (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A1 tptp.uni) (A2 tptp.uni)) (=> (tptp.sort1 A A1) (=> (tptp.sort1 A A2) (forall ((B1 tptp.uni)) (=> (not (= A1 A2)) (= (tptp.get B A (tptp.set B A M A1 B1) A2) (tptp.get B A M A2))))))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.map A B) (tptp.const B A X))) (forall ((A tptp.ty) (B tptp.ty) (B1 tptp.uni) (A1 tptp.uni)) (=> (tptp.sort1 B B1) (= (tptp.get B A (tptp.const B A B1) A1) B1))) (forall ((A tptp.ty) (X Int) (X1 tptp.uni)) (tptp.sort1 (tptp.array A) (tptp.mk_array1 A X X1))) (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (= (tptp.length1 A (tptp.mk_array1 A U U1)) U)) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.map tptp.int A) (tptp.elts A X))) (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (=> (tptp.sort1 (tptp.map tptp.int A) U1) (= (tptp.elts A (tptp.mk_array1 A U U1)) U1))) (forall ((A tptp.ty) (U tptp.uni)) (= U (tptp.mk_array1 A (tptp.length1 A U) (tptp.elts A U)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int)) (tptp.sort1 A (tptp.get2 A X X1))) (forall ((X Int)) (tptp.sort1 tptp.int (tptp.t2tb X))) (forall ((I Int)) (= (tptp.tb2t (tptp.t2tb I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)) (forall ((A tptp.ty) (A1 tptp.uni) (I Int)) (= (tptp.get2 A A1 I) (tptp.get A tptp.int (tptp.elts A A1) (tptp.t2tb I)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int) (X2 tptp.uni)) (tptp.sort1 (tptp.array A) (tptp.set2 A X X1 X2))) (forall ((A tptp.ty) (A1 tptp.uni) (I Int) (V tptp.uni)) (= (tptp.set2 A A1 I V) (tptp.mk_array1 A (tptp.length1 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.sort1 (tptp.array A) (tptp.make1 A X X1))) (forall ((A tptp.ty) (N Int) (V tptp.uni)) (= (tptp.make1 A N V) (tptp.mk_array1 A N (tptp.const A tptp.int V)))) (forall ((X tptp.elt6)) (tptp.le4 X X)) (forall ((X tptp.elt6) (Y tptp.elt6) (Z tptp.elt6)) (=> (tptp.le4 X Y) (=> (tptp.le4 Y Z) (tptp.le4 X Z)))) _let_3 (forall ((X tptp.array_elt3)) (tptp.sort1 (tptp.array tptp.elt7) (tptp.t2tb10 X))) (forall ((I tptp.array_elt3)) (= (tptp.tb2t10 (tptp.t2tb10 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb10 (tptp.tb2t10 J)) J)) (forall ((X tptp.elt6)) (tptp.sort1 tptp.elt7 (tptp.t2tb11 X))) (forall ((I tptp.elt6)) (= (tptp.tb2t11 (tptp.t2tb11 I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort1 tptp.elt7 J) (= (tptp.t2tb11 (tptp.tb2t11 J)) J))) _let_2 (forall ((A tptp.array_elt3)) (= (tptp.sorted4 A) (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb10 A))) (=> (and (<= 0 I1) (<= I1 I2) (< I2 (tptp.length1 tptp.elt7 _let_1))) (tptp.le4 (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I1)) (tptp.tb2t11 (tptp.get2 tptp.elt7 _let_1 I2)))))))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.ref A) (tptp.mk_ref A X))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.contents A X))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 A U) (= (tptp.contents A (tptp.mk_ref A U)) U))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 (tptp.ref A) U) (= U (tptp.mk_ref A (tptp.contents A U))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (<= U L) (= (tptp.occ1 A V M L U) 0))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (- U 1))) (=> (tptp.sort1 A V) (=> (< L U) (=> (not (= (tptp.get A tptp.int M (tptp.t2tb _let_1)) V)) (= (tptp.occ1 A V M L U) (tptp.occ1 A V M L _let_1))))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (- U 1))) (=> (< L U) (=> (= (tptp.get A tptp.int M (tptp.t2tb _let_1)) V) (= (tptp.occ1 A V M L U) (+ 1 (tptp.occ1 A V M L _let_1))))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.occ1 A V M L U))) (=> (<= L U) (and (<= 0 _let_1) (<= _let_1 (- U L)))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (Mid Int) (U Int)) (=> (and (<= L Mid) (<= Mid U)) (= (tptp.occ1 A V M L U) (+ (tptp.occ1 A V M L Mid) (tptp.occ1 A V M Mid U))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (tptp.sort1 A V) (=> (forall ((I Int)) (=> (and (<= L I) (< I U)) (not (= (tptp.get A tptp.int M (tptp.t2tb I)) V)))) (= (tptp.occ1 A V M L U) 0)))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (tptp.sort1 A V) (=> (< 0 (tptp.occ1 A V M L U)) (exists ((I Int)) (and (<= L I) (< I U) (= (tptp.get A tptp.int M (tptp.t2tb I)) V)))))) (forall ((A tptp.ty) (M tptp.uni) (L Int) (U Int) (I Int)) (=> (and (<= L I) (< I U)) (< 0 (tptp.occ1 A (tptp.get A tptp.int M (tptp.t2tb I)) M L U)))) (forall ((A tptp.ty) (V tptp.uni) (M1 tptp.uni) (M2 tptp.uni) (L Int) (U Int)) (=> (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (=> (and (<= L I) (< I U)) (= (tptp.get A tptp.int M1 _let_1) (tptp.get A tptp.int M2 _let_1))))) (= (tptp.occ1 A V M1 L U) (tptp.occ1 A V M2 L U)))) (forall ((A tptp.ty) (M1 tptp.uni) (M2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.permut2 A M1 M2 L U))) (and (=> _let_1 (forall ((V tptp.uni)) (= (tptp.occ1 A V M1 L U) (tptp.occ1 A V M2 L U)))) (=> (forall ((V tptp.uni)) (=> (tptp.sort1 A V) (= (tptp.occ1 A V M1 L U) (tptp.occ1 A V M2 L U)))) _let_1)))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (A3 tptp.uni) (L Int) (U Int)) (=> (tptp.permut2 A A1 A2 L U) (=> (tptp.permut2 A A2 A3 L U) (tptp.permut2 A A1 A3 L U)))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int) (I Int)) (=> (tptp.permut2 A A1 A2 L U) (=> (and (<= L I) (< I U)) (exists ((J Int)) (and (<= L J) (< J U) (= (tptp.get A tptp.int A1 (tptp.t2tb J)) (tptp.get A tptp.int A2 (tptp.t2tb I)))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (= (tptp.map_eq_sub1 A A1 A2 L U) (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (=> (and (<= L I) (< I U)) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_1))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.array_eq_sub1 A A1 A2 L U) (and (= _let_1 (tptp.length1 A A2)) (<= 0 L) (<= L _let_1) (<= 0 U) (<= U _let_1) (tptp.map_eq_sub1 A (tptp.elts A A1) (tptp.elts A A2) L U))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.array_eq A A1 A2) (and (= _let_1 (tptp.length1 A A2)) (tptp.map_eq_sub1 A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int) (I Int) (J Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (tptp.t2tb J))) (= (tptp.exchange2 A A1 A2 L U I J) (and (<= L I) (< I U) (<= L J) (< J U) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_2)) (= (tptp.get A tptp.int A1 _let_2) (tptp.get A tptp.int A2 _let_1)) (forall ((K Int)) (let ((_let_1 (tptp.t2tb K))) (=> (and (<= L K) (< K U)) (=> (not (= K I)) (=> (not (= K J)) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_1)))))))))))) (forall ((A tptp.ty) (A1 tptp.uni) (L Int) (U Int) (I Int) (J Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (tptp.t2tb J))) (=> (and (<= L I) (< I U)) (=> (and (<= L J) (< J U)) (tptp.exchange2 A A1 (tptp.set A tptp.int (tptp.set A tptp.int A1 _let_1 (tptp.get A tptp.int A1 _let_2)) _let_2 (tptp.get A tptp.int A1 _let_1)) L U I J)))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.exchange3 A A1 A2 I J) (and (= _let_1 (tptp.length1 A A2)) (tptp.exchange2 A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1 I J))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.permut3 A A1 A2 L U) (and (= _let_1 (tptp.length1 A A2)) (<= 0 L) (<= L _let_1) (<= 0 U) (<= U _let_1) (tptp.permut2 A (tptp.elts A A1) (tptp.elts A A2) L U))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.elts A A2))) (let ((_let_2 (tptp.elts A A1))) (= (tptp.permut_sub1 A A1 A2 L U) (and (tptp.map_eq_sub1 A _let_2 _let_1 0 L) (tptp.permut3 A A1 A2 L U) (tptp.map_eq_sub1 A _let_2 _let_1 U (tptp.length1 A A1))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.permut_all A A1 A2) (and (= _let_1 (tptp.length1 A A2)) (tptp.permut2 A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int) (L Int) (U Int)) (=> (tptp.exchange3 A A1 A2 I J) (=> (and (<= L I) (< I U)) (=> (and (<= L J) (< J U)) (=> (<= 0 L) (=> (<= U (tptp.length1 A A1)) (tptp.permut_sub1 A A1 A2 L U))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L1 Int) (U1 Int) (L2 Int) (U2 Int)) (=> (tptp.permut_sub1 A A1 A2 L1 U1) (=> (and (<= 0 L2) (<= L2 L1)) (=> (and (<= U1 U2) (<= U2 (tptp.length1 A A1))) (tptp.permut_sub1 A A1 A2 L2 U2))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int)) (=> (tptp.exchange3 A A1 A2 I J) (tptp.permut_all A A1 A2))) (forall ((X Int)) (let ((_let_1 (tptp.abs X))) (let ((_let_2 (<= 0 X))) (and (=> _let_2 (= _let_1 X)) (=> (not _let_2) (= _let_1 (- X))))))) (forall ((X Int) (Y Int)) (= (<= (tptp.abs X) Y) (and (<= (- Y) X) (<= X Y)))) (forall ((X Int)) (<= 0 (tptp.abs X))) (forall ((X Int) (Y Int)) (=> (not (= Y 0)) (= X (+ (* Y (tptp.div X Y)) (tptp.mod X Y))))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.div X Y))) (=> (and (<= 0 X) (< 0 Y)) (and (<= 0 _let_1) (<= _let_1 X))))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.abs Y))) (let ((_let_2 (tptp.mod X Y))) (=> (not (= Y 0)) (and (< (- _let_1) _let_2) (< _let_2 _let_1)))))) (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (< 0 Y)) (<= 0 (tptp.div X Y)))) (forall ((X Int) (Y Int)) (=> (and (<= X 0) (< 0 Y)) (<= (tptp.div X Y) 0))) (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (not (= Y 0))) (<= 0 (tptp.mod X Y)))) (forall ((X Int) (Y Int)) (=> (and (<= X 0) (not (= Y 0))) (<= (tptp.mod X Y) 0))) (forall ((X Int) (Y Int)) (=> (not (= Y 0)) (<= (tptp.abs (* (tptp.div X Y) Y)) (tptp.abs X)))) (forall ((X Int)) (= (tptp.div X 1) X)) (forall ((X Int)) (= (tptp.mod X 1) 0)) (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (< X Y)) (= (tptp.div X Y) 0))) (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (< X Y)) (= (tptp.mod X Y) X))) (forall ((X Int) (Y Int) (Z Int)) (=> (and (< 0 X) (<= 0 Y) (<= 0 Z)) (= (tptp.div (+ (* X Y) Z) X) (+ Y (tptp.div Z X))))) (forall ((X Int) (Y Int) (Z Int)) (=> (and (< 0 X) (<= 0 Y) (<= 0 Z)) (= (tptp.mod (+ (* X Y) Z) X) (tptp.mod Z X)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.max X Y))) (and (<= X _let_1) (<= Y _let_1)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.max X Y))) (or (= _let_1 X) (= _let_1 Y)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.min X Y))) (and (<= _let_1 X) (<= _let_1 Y)))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.min X Y))) (or (= _let_1 X) (= _let_1 Y)))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.max X Y) X))) (forall ((X Int) (Y Int)) (=> (<= X Y) (= (tptp.max X Y) Y))) (forall ((X Int) (Y Int)) (=> (<= X Y) (= (tptp.min X Y) X))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.min X Y) Y))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.max X Y) (tptp.max Y X)))) (forall ((X Int) (Y Int)) (=> (<= Y X) (= (tptp.min X Y) (tptp.min Y X)))) (forall ((X tptp.map_int_elt3)) (tptp.sort1 (tptp.map tptp.int tptp.elt7) (tptp.t2tb12 X))) (forall ((I tptp.map_int_elt3)) (= (tptp.tb2t12 (tptp.t2tb12 I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort1 (tptp.map tptp.int tptp.elt7) J) (= (tptp.t2tb12 (tptp.tb2t12 J)) J))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.52/15.76  )
% 15.52/15.76  % SZS output end Proof for SWW620_2
% 15.52/15.76  % cvc5---1.0.5 exiting
% 15.52/15.76  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------