TSTP Solution File: SWW576_2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW576_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 00:21:34 EDT 2023
% Result : Theorem 31.58s 31.85s
% Output : Proof 31.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW576_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 21:13:44 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_ARI
% 31.58/31.85 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lJ0CdKOMoW/cvc5---1.0.5_2964.p...
% 31.58/31.85 ------- get file name : TPTP file name is SWW576_2
% 31.58/31.85 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2964.smt2...
% 31.58/31.85 --- Run --finite-model-find --decision=internal at 15...
% 31.58/31.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 31.58/31.85 --- Run --no-e-matching --full-saturate-quant at 15...
% 31.58/31.85 % SZS status Theorem for SWW576_2
% 31.58/31.85 % SZS output start Proof for SWW576_2
% 31.58/31.85 (
% 31.58/31.85 (let ((_let_1 (not (forall ((Fp Int) (Mem tptp.map_int_int)) (=> (and (tptp.separation1 Fp) (tptp.inv1 Mem)) (forall ((L4 Int)) (=> (= L4 0) (forall ((L7 Int)) (=> (= L7 0) (forall ((R3 Int)) (=> (= R3 2) (forall ((Mem1 tptp.map_int_int)) (=> (= Mem1 (tptp.set2 Mem (- Fp 16) R3)) (tptp.inv_l21 Mem1 Fp L4)))))))))))))) (let ((_let_2 (forall ((Mem tptp.map_int_int) (Fp Int) (L4 Int)) (let ((_let_1 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb Mem) (tptp.t2tb1 (- Fp 16)))))) (= (tptp.inv_l21 Mem Fp L4) (and (<= 2 _let_1) (<= _let_1 11) (= L4 (- _let_1 2)) (tptp.inv1 Mem))))))) (let ((_let_3 (forall ((Mem tptp.map_int_int)) (= (tptp.inv1 Mem) (and (= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb Mem) (tptp.t2tb1 tptp.a1))) 0) (forall ((K Int)) (=> (and (<= 1 K) (<= K 10)) (< 0 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb Mem) (tptp.t2tb1 (+ tptp.a1 K)))))))))))) (let ((_let_4 (forall ((Fp Int)) (= (tptp.separation1 Fp) (< (+ tptp.a1 10) (- Fp 24)))))) (let ((_let_5 (forall ((M tptp.map_int_int) (A1 Int) (A2 Int) (B Int)) (let ((_let_1 (tptp.t2tb1 A2))) (=> (not (= A1 A2)) (= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb (tptp.set2 M A1 B)) _let_1)) (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb M) _let_1)))))))) (let ((_let_6 (forall ((M tptp.map_int_int) (A1 Int) (A2 Int) (B Int)) (=> (= A1 A2) (= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb (tptp.set2 M A1 B)) (tptp.t2tb1 A2))) B))))) (let ((_let_7 (+ tptp.a1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))) (let ((_let_8 (tptp.t2tb1 _let_7))) (let ((_let_9 (+ (- 16) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.set2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9 2))) (let ((_let_11 (tptp.t2tb _let_10))) (let ((_let_12 (tptp.tb2t1 (tptp.get tptp.int tptp.int _let_11 _let_8)))) (let ((_let_13 (>= _let_12 1))) (let ((_let_14 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.tb2t1 (tptp.get tptp.int tptp.int _let_14 _let_8)))) (let ((_let_16 (>= _let_15 1))) (let ((_let_17 (= _let_12 _let_15))) (let ((_let_18 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 11))) (let ((_let_19 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 1))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_13))) (let ((_let_22 (not _let_13))) (let ((_let_23 (forall ((K Int)) (or (not (>= K 1)) (>= K 11) (>= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb (tptp.set2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (+ (- 16) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) 2)) (tptp.t2tb1 (+ tptp.a1 K)))) 1))))) (let ((_let_24 (not _let_21))) (let ((_let_25 (tptp.t2tb1 tptp.a1))) (let ((_let_26 (tptp.tb2t1 (tptp.get tptp.int tptp.int _let_11 _let_25)))) (let ((_let_27 (= _let_26 0))) (let ((_let_28 (and _let_27 _let_23))) (let ((_let_29 (not _let_23))) (let ((_let_30 (tptp.tb2t1 (tptp.get tptp.int tptp.int _let_14 _let_25)))) (let ((_let_31 (= _let_30 _let_26))) (let ((_let_32 (= _let_30 0))) (let ((_let_33 (= tptp.a1 _let_9))) (let ((_let_34 (or _let_33 _let_31))) (let ((_let_35 (forall ((M tptp.map_int_int) (A1 Int) (A2 Int) (B Int)) (let ((_let_1 (tptp.t2tb1 A2))) (or (= A1 A2) (= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb (tptp.set2 M A1 B)) _let_1)) (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb M) _let_1)))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_39 (+ tptp.a1 _let_38))) (let ((_let_40 (>= _let_39 (- 34)))) (let ((_let_41 (not _let_33))) (let ((_let_42 (not _let_40))) (let ((_let_43 (tptp.separation1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_44 (= _let_43 _let_42))) (let ((_let_45 (forall ((Fp Int)) (= (tptp.separation1 Fp) (not (>= (+ tptp.a1 (* (- 1) Fp)) (- 34))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (tptp.inv_l21 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0))) (let ((_let_48 (tptp.inv1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_49 (not _let_48))) (let ((_let_50 (not _let_43))) (let ((_let_51 (or _let_50 _let_49 _let_47))) (let ((_let_52 (forall ((Fp Int) (Mem tptp.map_int_int)) (or (not (tptp.separation1 Fp)) (not (tptp.inv1 Mem)) (tptp.inv_l21 (tptp.set2 Mem (+ (- 16) Fp) 2) Fp 0))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (or))) (let ((_let_56 (not _let_52))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_54) :args (_let_56))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_52))) (REFL :args (_let_53)) :args _let_55)) _let_54 :args (_let_53 true _let_52)))) (let ((_let_58 (REFL :args (_let_51)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_44)) :args ((or _let_50 _let_42 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 0)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_43))) :args _let_55)) :args ((or _let_43 _let_51))) _let_57 :args (_let_43 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_42 false _let_43 false _let_44)))) (let ((_let_60 (_let_41))) (let ((_let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_40))))) (let ((_let_62 (_let_42))) (let ((_let_63 (= _let_39 (- 16)))) (let ((_let_64 (_let_63))) (let ((_let_65 (false))) (let ((_let_66 ((- 1.0) 1.0))) (let ((_let_67 (ASSUME :args _let_62))) (let ((_let_68 (MACRO_SR_PRED_TRANSFORM _let_67 :args ((< _let_39 (- 34)))))) (let ((_let_69 (forall ((K Int)) (or (not (>= K 1)) (>= K 11) (>= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.t2tb1 (+ tptp.a1 K)))) 1))))) (let ((_let_70 (and _let_32 _let_69))) (let ((_let_71 (= _let_48 _let_70))) (let ((_let_72 (forall ((Mem tptp.map_int_int)) (= (tptp.inv1 Mem) (and (= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb Mem) (tptp.t2tb1 tptp.a1))) 0) (forall ((K Int)) (or (not (>= K 1)) (>= K 11) (>= (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb Mem) (tptp.t2tb1 (+ tptp.a1 K)))) 1)))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_71)) :args ((or _let_49 _let_70 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_55)) :args ((or _let_48 _let_51))) _let_57 :args (_let_48 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_74)) _let_73 :args (_let_71 false _let_72)) :args (_let_70 false _let_48 false _let_71)))) (let ((_let_76 (not _let_70))) (let ((_let_77 (and _let_32 _let_31))) (let ((_let_78 (_let_32 _let_31))) (let ((_let_79 (ASSUME :args (_let_32)))) (let ((_let_80 (ASSUME :args (_let_31)))) (let ((_let_81 (tptp.inv1 _let_10))) (let ((_let_82 (= _let_81 _let_28))) (let ((_let_83 (not _let_28))) (let ((_let_84 (tptp.tb2t1 (tptp.get tptp.int tptp.int _let_11 (tptp.t2tb1 _let_9))))) (let ((_let_85 (>= _let_84 2))) (let ((_let_86 (= _let_84 2))) (let ((_let_87 (>= _let_84 12))) (let ((_let_88 (not _let_87))) (let ((_let_89 (and _let_85 _let_88 _let_86 _let_81))) (let ((_let_90 (not _let_81))) (let ((_let_91 (forall ((M tptp.map_int_int) (A2 Int) (B Int)) (= B (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb (tptp.set2 M A2 B)) (tptp.t2tb1 A2))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9 2 QUANTIFIERS_INST_ENUM)) :args (_let_91)))) _let_92 :args (_let_86 false _let_91)))) (let ((_let_94 (not _let_86))) (let ((_let_95 (not _let_85))) (let ((_let_96 (REFL :args (_let_94)))) (let ((_let_97 (> _let_84 1))) (let ((_let_98 (_let_95))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 ((<= _let_84 1)))) (let ((_let_101 (_let_86))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (= _let_47 _let_89))) (let ((_let_104 (not _let_89))) (let ((_let_105 (forall ((Mem tptp.map_int_int) (Fp Int) (L4 Int)) (let ((_let_1 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb Mem) (tptp.t2tb1 (+ (- 16) Fp)))))) (= (tptp.inv_l21 Mem Fp L4) (and (>= _let_1 2) (not (>= _let_1 12)) (= L4 (+ (- 2) _let_1)) (tptp.inv1 Mem))))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_87))) (let ((_let_108 (_let_89))) (let ((_let_109 (_let_29))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_109)) :args _let_109)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_23))) (REFL :args (_let_24)) :args _let_55)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_82)) :args ((or _let_81 _let_83 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_108) (CONG (REFL :args _let_108) (REFL :args _let_98) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) _let_96 (REFL :args (_let_90)) :args _let_55)) :args ((or _let_87 _let_89 _let_94 _let_90 _let_95))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_102 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_107) _let_102 :args _let_66) :args _let_65) :args _let_107) :args ((< _let_84 12))) :args (_let_88)) :args _let_101)) :args _let_101)) :args ((or _let_88 _let_94))) _let_93 :args (_let_88 false _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_103)) :args ((or _let_47 _let_104 (not _let_103)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 2)) _let_57 :args ((not _let_47) true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0 QUANTIFIERS_INST_ENUM)) :args (_let_105)))) _let_106 :args (_let_103 false _let_105)) :args (_let_104 true _let_47 false _let_103)) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_99 _let_102) :args (_let_86 _let_95)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_100) _let_102 :args (1.0 (- 1.0))) :args _let_65) :args _let_100) :args (_let_97)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_99 :args ((< _let_84 2)))) :args ((not _let_97)))) :args (_let_95 _let_86)) :args ((not (and _let_86 _let_95)) SB_LITERAL))) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_85))) :args _let_55)) :args ((or _let_85 _let_94))) _let_93 :args (_let_85 false _let_86)) :args (_let_90 true _let_87 true _let_89 false _let_86 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_10 QUANTIFIERS_INST_ENUM)) :args _let_74)) _let_73 :args (_let_82 false _let_72)) :args (_let_83 true _let_81 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_80) (SCOPE (TRANS (SYMM _let_80) (SYMM (SYMM _let_79))) :args _let_78)) :args _let_78)) :args (true _let_77)) :args ((or (not _let_32) _let_27 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_70 0)) :args ((or _let_32 _let_76))) _let_75 :args (_let_32 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_31 (not _let_34)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_67 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_64) (INT_TIGHT_UB _let_68) :args _let_66) :args _let_65) :args _let_64) :args ((not _let_63))) :args _let_60) :args _let_62)) :args _let_62)) (CONG _let_61 (REFL :args _let_60) :args _let_55)) _let_59 :args (_let_41 true _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9 tptp.a1 2 QUANTIFIERS_INST_ENUM)) :args _let_37))) _let_36 :args (_let_34 false _let_35)) :args (_let_31 true _let_33 false _let_34)) :args (_let_27 false _let_32 false _let_31)) :args (_let_29 true _let_28 false _let_27)) :args (_let_24 true _let_23)))) (let ((_let_111 (or _let_20 _let_18 _let_16))) (let ((_let_112 (_let_69))) (let ((_let_113 (not _let_18))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 1)) _let_110 :args (_let_113 true _let_21)))) (let ((_let_115 (= tptp.a1 (+ (- 16) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))))) (let ((_let_116 (or _let_115 _let_17))) (let ((_let_117 (not _let_115))) (let ((_let_118 (< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 11))) (let ((_let_119 (_let_118))) (let ((_let_120 (ASSUME :args (_let_115)))) (let ((_let_121 (ASSUME :args (_let_113)))) (let ((_let_122 (= (+ _let_12 (* (- 1) _let_15)) 0))) (let ((_let_123 ((not _let_122)))) (let ((_let_124 (_let_122))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_17)) :args _let_124) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_124) (ASSUME :args (_let_16)) (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_22)) :args ((< _let_12 1))) :args ((- 1.0) (- 1.0) 1.0)) :args _let_65) :args _let_124) :args _let_123) :args _let_123)) :args (_let_22 _let_16 _let_17))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_13))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_17 _let_115 (not _let_116)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_67 _let_120 _let_121) :args (_let_42 _let_113 _let_115)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_121 :args _let_119) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_119) (MACRO_SR_PRED_TRANSFORM _let_120 :args ((= (+ tptp.a1 _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44) (- 16)))) _let_68 :args (1.0 (- 1.0) 1.0)) :args _let_65) :args _let_119) :args (_let_18)) :args ((not _let_118)))) :args (_let_42 _let_115 _let_113)) :args ((not (and _let_42 _let_113 _let_115)) SB_LITERAL))) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_18))) (REFL :args (_let_117)) :args _let_55)) _let_59 _let_114 :args (_let_117 true _let_40 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9 _let_7 2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_37))) _let_36 :args (_let_116 false _let_35)) :args (_let_17 true _let_115 false _let_116)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_20 _let_18 _let_16 (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_55)) :args ((or _let_19 _let_21))) _let_110 :args (_let_19 true _let_21)) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_112) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 QUANTIFIERS_INST_ENUM)) :args _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_70 1)) :args ((or _let_69 _let_76))) _let_75 :args (_let_69 false _let_70)) :args (_let_111 false _let_69)) :args (_let_16 false _let_19 true _let_18 false _let_111)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 2)) _let_110 :args (_let_22 true _let_21)) :args (false false _let_17 false _let_16 true _let_13)) :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 ((X tptp.map_int_int)) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb X))) (forall ((I tptp.map_int_int)) (= (tptp.tb2t (tptp.t2tb I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)) (forall ((X Int)) (tptp.sort1 tptp.int (tptp.t2tb1 X))) (forall ((I Int)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb1 (tptp.tb2t1 J)) J)) _let_6 (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)))) _let_5 (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 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))))) _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 31.58/31.85 )
% 31.58/31.85 % SZS output end Proof for SWW576_2
% 31.58/31.85 % cvc5---1.0.5 exiting
% 31.58/31.85 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------