%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV416+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 : Thu Aug 31 21:51:04 EDT 2023

% Result   : Theorem 27.20s 27.49s
% Output   : Proof 27.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV416+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n023.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   : Tue Aug 29 04:11:55 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 27.20/27.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.POIfp2iLch/cvc5---1.0.5_19679.p...
% 27.20/27.49  ------- get file name : TPTP file name is SWV416+2
% 27.20/27.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19679.smt2...
% 27.20/27.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 27.20/27.49  --- Run --no-e-matching --full-saturate-quant at 5...
% 27.20/27.49  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 27.20/27.49  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 27.20/27.49  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.20/27.49  % SZS status Theorem for SWV416+2
% 27.20/27.49  % SZS output start Proof for SWV416+2
% 27.20/27.49  (
% 27.20/27.49  (let ((_let_1 (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.triple U V W))) (let ((_let_2 (tptp.i _let_1))) (let ((_let_3 (tptp.remove_cpq _let_1 X))) (=> (tptp.pi_remove _let_1 X) (=> (tptp.phi _let_3) (and (tptp.pi_sharp_remove _let_2 X) (= (tptp.i _let_3) (tptp.remove_pq _let_2 X)))))))))))) (let ((_let_2 (=> (and (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.triple U tptp.create_slb V))) (let ((_let_2 (tptp.i _let_1))) (=> (tptp.contains_pq _let_2 W) (= (tptp.i (tptp.remove_cpq _let_1 W)) (tptp.remove_pq _let_2 W)))))) (forall ((X $$unsorted)) (=> (forall ((Y $$unsorted) (Z $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.triple Y X Z))) (let ((_let_2 (tptp.i _let_1))) (=> (tptp.contains_pq _let_2 X1) (= (tptp.i (tptp.remove_cpq _let_1 X1)) (tptp.remove_pq _let_2 X1)))))) (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (let ((_let_1 (tptp.triple X2 (tptp.insert_slb X (tptp.pair X5 X6)) X3))) (let ((_let_2 (tptp.i _let_1))) (=> (tptp.contains_pq _let_2 X4) (= (tptp.i (tptp.remove_cpq _let_1 X4)) (tptp.remove_pq _let_2 X4))))))))) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (let ((_let_1 (tptp.triple X7 X8 X9))) (let ((_let_2 (tptp.i _let_1))) (=> (tptp.contains_pq _let_2 X10) (= (tptp.i (tptp.remove_cpq _let_1 X10)) (tptp.remove_pq _let_2 X10))))))))) (let ((_let_3 (forall ((X10 $$unsorted) (X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted)) (= (tptp.i (tptp.triple X10 X12 X13)) (tptp.i (tptp.triple X11 X12 X14)))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.i (tptp.triple U tptp.create_slb W)) (tptp.i (tptp.triple V tptp.create_slb X)))))) (let ((_let_5 (=> (and _let_4 (forall ((Y $$unsorted)) (=> (forall ((Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.i (tptp.triple Z Y X2)) (tptp.i (tptp.triple X1 Y X3)))) (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted)) (let ((_let_1 (tptp.insert_slb Y (tptp.pair X8 X9)))) (= (tptp.i (tptp.triple X4 _let_1 X6)) (tptp.i (tptp.triple X5 _let_1 X7)))))))) _let_3))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.pi_remove U V) (tptp.pi_sharp_remove (tptp.i U) V))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.pi_sharp_remove U V) (tptp.contains_pq U V))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.i (tptp.triple U (tptp.insert_slb V (tptp.pair X Y)) W)) (tptp.insert_pq (tptp.i (tptp.triple U V W)) X))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.i (tptp.triple U tptp.create_slb V)) tptp.create_pq)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (tptp.contains_slb V X) (tptp.strictly_less_than X (tptp.lookup_slb V X))) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple (tptp.remove_pqp U X) (tptp.remove_slb V X) tptp.bad)))))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (tptp.contains_slb V X) (tptp.less_than (tptp.lookup_slb V X) X)) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple (tptp.remove_pqp U X) (tptp.remove_slb V X) W)))))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (not (tptp.contains_slb V X)) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple U V tptp.bad)))))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (not (= V W)) (tptp.contains_slb U W)) (= (tptp.lookup_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.lookup_slb U W)))))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.pair V X))) (=> (and (not (= V W)) (tptp.contains_slb U W)) (= (tptp.remove_slb (tptp.insert_slb U _let_1) W) (tptp.insert_slb (tptp.remove_slb U W) _let_1))))))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.remove_slb (tptp.insert_slb U (tptp.pair V W)) V) U)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.contains_slb (tptp.insert_slb U (tptp.pair V X)) W) (or (tptp.contains_slb U W) (= V W)))))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.contains_pq U W) (not (= V W))) (= (tptp.remove_pq (tptp.insert_pq U V) W) (tptp.insert_pq (tptp.remove_pq U W) V)))))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.remove_pq (tptp.insert_pq U V) V) U)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.contains_pq (tptp.insert_pq U V) W) (or (tptp.contains_pq U W) (= V W)))))) (let ((_let_20 (forall ((U $$unsorted)) (not (tptp.contains_pq tptp.create_pq U))))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.strictly_less_than U V) (and (tptp.less_than U V) (not (tptp.less_than V U))))))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (tptp.less_than U V) (tptp.less_than V U))))) (let ((_let_23 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (let ((_let_1 (tptp.triple X7 X8 X9))) (let ((_let_2 (tptp.i _let_1))) (or (not (tptp.contains_pq _let_2 X10)) (= (tptp.i (tptp.remove_cpq _let_1 X10)) (tptp.remove_pq _let_2 X10)))))))) (let ((_let_24 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (tptp.i _let_24))) (let ((_let_26 (tptp.remove_cpq _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_27 (= (tptp.i _let_26) (tptp.remove_pq _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_28 (tptp.contains_pq _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27))) (let ((_let_31 (forall ((X $$unsorted) (BOUND_VARIABLE_1707 $$unsorted) (BOUND_VARIABLE_1705 $$unsorted) (BOUND_VARIABLE_1703 $$unsorted) (BOUND_VARIABLE_1701 $$unsorted) (BOUND_VARIABLE_1699 $$unsorted)) (let ((_let_1 (tptp.triple BOUND_VARIABLE_1699 (tptp.insert_slb X (tptp.pair BOUND_VARIABLE_1705 BOUND_VARIABLE_1707)) BOUND_VARIABLE_1701))) (let ((_let_2 (tptp.i _let_1))) (or (not (forall ((Y $$unsorted) (Z $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.triple Y X Z))) (let ((_let_2 (tptp.i _let_1))) (or (not (tptp.contains_pq _let_2 X1)) (= (tptp.i (tptp.remove_cpq _let_1 X1)) (tptp.remove_pq _let_2 X1))))))) (not (tptp.contains_pq _let_2 BOUND_VARIABLE_1703)) (= (tptp.i (tptp.remove_cpq _let_1 BOUND_VARIABLE_1703)) (tptp.remove_pq _let_2 BOUND_VARIABLE_1703)))))))) (let ((_let_32 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.triple U tptp.create_slb V))) (let ((_let_2 (tptp.i _let_1))) (or (not (tptp.contains_pq _let_2 W)) (= (tptp.i (tptp.remove_cpq _let_1 W)) (tptp.remove_pq _let_2 W)))))))) (let ((_let_33 (and _let_32 _let_31))) (let ((_let_34 (tptp.pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_35 (tptp.insert_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_34))) (let ((_let_36 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_37 (tptp.i _let_36))) (let ((_let_38 (tptp.remove_cpq _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_39 (= (tptp.i _let_38) (tptp.remove_pq _let_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)))) (let ((_let_40 (tptp.contains_pq _let_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_41 (not _let_40))) (let ((_let_42 (forall ((Y $$unsorted) (Z $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.triple Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 Z))) (let ((_let_2 (tptp.i _let_1))) (or (not (tptp.contains_pq _let_2 X1)) (= (tptp.i (tptp.remove_cpq _let_1 X1)) (tptp.remove_pq _let_2 X1)))))))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41 _let_39))) (let ((_let_45 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_46 (tptp.remove_cpq _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_47 (tptp.i _let_45))) (let ((_let_48 (tptp.remove_pq _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_49 (= _let_48 (tptp.i _let_46)))) (let ((_let_50 (tptp.contains_pq _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (tptp.insert_pq _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_54 (= _let_37 _let_53))) (let ((_let_55 (tptp.contains_pq _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_56 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_57 (or _let_50 _let_56))) (let ((_let_58 (= _let_55 _let_57))) (let ((_let_59 (tptp.contains_slb _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_60 (tptp.contains_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_61 (or _let_60 _let_56))) (let ((_let_62 (= _let_59 _let_61))) (let ((_let_63 (tptp.lookup_slb _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_64 (tptp.strictly_less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_63))) (let ((_let_65 (tptp.less_than _let_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_63))) (let ((_let_68 (and _let_67 _let_66))) (let ((_let_69 (= _let_64 _let_68))) (let ((_let_70 (tptp.remove_slb _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_71 (tptp.remove_pqp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_72 (tptp.triple _let_71 _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_73 (= _let_38 _let_72))) (let ((_let_74 (not _let_59))) (let ((_let_75 (or _let_74 _let_66 _let_73))) (let ((_let_76 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 (tptp.remove_slb _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)))) (let ((_let_77 (= _let_47 (tptp.remove_pq _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)))) (let ((_let_78 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 tptp.bad))) (let ((_let_79 (tptp.i _let_78))) (let ((_let_80 (= _let_47 _let_79))) (let ((_let_81 (tptp.i _let_72))) (let ((_let_82 (= _let_81 (tptp.i (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_70 tptp.bad))))) (let ((_let_83 (or))) (let ((_let_84 (REFL :args (_let_44)))) (let ((_let_85 (_let_42))) (let ((_let_86 (_let_8))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 ((tptp.triple U (tptp.insert_slb V (tptp.pair X Y)) W)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_54 false _let_8)))) (let ((_let_90 (and _let_40 _let_54))) (let ((_let_91 (_let_40 _let_54))) (let ((_let_92 (ASSUME :args (_let_40)))) (let ((_let_93 (APPLY_UF tptp.contains_pq))) (let ((_let_94 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)))) (let ((_let_95 (ASSUME :args (_let_54)))) (let ((_let_96 (SYMM _let_95))) (let ((_let_97 (_let_19))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_35 tptp.bad))) (let ((_let_100 (= _let_38 _let_99))) (let ((_let_101 (or _let_59 _let_100))) (let ((_let_102 (= _let_78 _let_46))) (let ((_let_103 (or _let_60 _let_102))) (let ((_let_104 (= (tptp.remove_pq _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28) (tptp.insert_pq _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)))) (let ((_let_105 (or _let_51 _let_56 _let_104))) (let ((_let_106 (= (tptp.i _let_99) (tptp.insert_pq _let_79 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)))) (let ((_let_107 (not _let_52))) (let ((_let_108 (not _let_57))) (let ((_let_109 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (tptp.contains_slb V X) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple U V tptp.bad)))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_109))) (let ((_let_112 (_let_16))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING ((tptp.contains_slb (tptp.insert_slb U (tptp.pair V X)) W)))) :args _let_112)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST _let_114 _let_113 :args (_let_62 false _let_16)))) (let ((_let_116 (not _let_62))) (let ((_let_117 (not _let_61))) (let ((_let_118 (_let_62))) (let ((_let_119 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_120 (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_50 _let_56 _let_108))))) (let ((_let_121 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.contains_pq U W)) (= V W) (= (tptp.remove_pq (tptp.insert_pq U V) W) (tptp.insert_pq (tptp.remove_pq U W) V)))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING ((tptp.remove_pq (tptp.insert_pq U V) W)))) :args (_let_121))) _let_122 :args (_let_105 false _let_121)))) (let ((_let_124 (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_56 _let_51 _let_104 (not _let_105)))))) (let ((_let_125 (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_49 _let_107))))) (let ((_let_126 (forall ((Y $$unsorted) (BOUND_VARIABLE_1670 $$unsorted) (BOUND_VARIABLE_1668 $$unsorted) (BOUND_VARIABLE_1666 $$unsorted) (BOUND_VARIABLE_1664 $$unsorted) (BOUND_VARIABLE_1662 $$unsorted) (BOUND_VARIABLE_1660 $$unsorted)) (let ((_let_1 (tptp.insert_slb Y (tptp.pair BOUND_VARIABLE_1668 BOUND_VARIABLE_1670)))) (or (not (forall ((Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.i (tptp.triple Z Y X2)) (tptp.i (tptp.triple X1 Y X3))))) (= (tptp.i (tptp.triple BOUND_VARIABLE_1660 _let_1 BOUND_VARIABLE_1664)) (tptp.i (tptp.triple BOUND_VARIABLE_1662 _let_1 BOUND_VARIABLE_1666)))))))) (let ((_let_127 (and _let_4 _let_126))) (let ((_let_128 (tptp.insert_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 (tptp.pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)))) (let ((_let_129 (tptp.i (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 _let_128 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))) (let ((_let_130 (tptp.i (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_128 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22)))) (let ((_let_131 (= _let_130 _let_129))) (let ((_let_132 (forall ((Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.i (tptp.triple Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 X2)) (tptp.i (tptp.triple X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 X3)))))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_131))) (let ((_let_135 (tptp.i (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22)))) (let ((_let_136 (tptp.i (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))) (let ((_let_137 (= _let_136 _let_135))) (let ((_let_138 (= _let_129 (tptp.insert_pq _let_136 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)))) (let ((_let_139 (= _let_130 (tptp.insert_pq _let_135 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)))) (let ((_let_140 (_let_132))) (let ((_let_141 (and _let_138 _let_139 _let_137))) (let ((_let_142 (ASSUME :args (_let_138)))) (let ((_let_143 (APPLY_UF tptp.insert_pq))) (let ((_let_144 (ASSUME :args (_let_137)))) (let ((_let_145 (ASSUME :args (_let_139)))) (let ((_let_146 (not _let_126))) (let ((_let_147 (_let_146))) (let ((_let_148 (tptp.i (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_149 (tptp.i (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_150 (= _let_149 _let_148))) (let ((_let_151 (= tptp.create_pq _let_148))) (let ((_let_152 (= tptp.create_pq _let_149))) (let ((_let_153 (forall ((U $$unsorted) (V $$unsorted)) (= tptp.create_pq (tptp.i (tptp.triple U tptp.create_slb V)))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (_let_153))) (let ((_let_156 (and _let_152 _let_151))) (let ((_let_157 (ASSUME :args (_let_151)))) (let ((_let_158 (ASSUME :args (_let_152)))) (let ((_let_159 (not _let_4))) (let ((_let_160 (_let_159))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_3 (not _let_127)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_127)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_160)) :args _let_160)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_159) _let_4))) (REFL :args ((not _let_150))) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_156)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_157 _let_158) (SCOPE (TRANS (SYMM _let_158) (SYMM (SYMM _let_157))) :args (_let_151 _let_152))) :args (_let_152 _let_151))) :args (true _let_156)) :args ((or _let_150 (not _let_152) (not _let_151)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_155)) _let_154 :args (_let_152 false _let_153)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_PROP)) :args _let_155)) _let_154 :args (_let_151 false _let_153)) :args (_let_150 false _let_152 false _let_151)) :args (_let_4 false _let_150)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_147)) :args _let_147)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_146) _let_126))) (REFL :args ((not _let_134))) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_141)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_142 _let_144 _let_145) (SCOPE (TRANS (SYMM (SYMM _let_145)) (CONG (SYMM _let_144) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) :args _let_143) (SYMM _let_142)) :args (_let_138 _let_137 _let_139))) :args (_let_138 _let_139 _let_137))) :args (true _let_141)) :args ((or _let_131 (not _let_138) (not _let_139) (not _let_137)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_139 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_138 false _let_8)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_140) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_140)) (CNF_OR_NEG :args (_let_134 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_134 0)) (CONG (REFL :args (_let_134)) (MACRO_SR_PRED_INTRO :args ((= (not _let_133) _let_132))) :args _let_83)) :args ((or _let_132 _let_134))) :args (_let_134 false _let_139 false _let_138 false _let_137 true _let_131 false _let_132)) :args (_let_126 false _let_134)) :args (_let_127 false _let_4 false _let_126)) :args (_let_3 false _let_127)))) (let ((_let_162 (_let_3))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.bad QUANTIFIERS_INST_CBQI_PROP)) :args _let_162)) _let_161 :args (_let_80 false _let_3)))) (let ((_let_165 (not _let_49))) (let ((_let_166 (not _let_80))) (let ((_let_167 (not _let_104))) (let ((_let_168 (not _let_54))) (let ((_let_169 (and _let_100 _let_54 _let_104 _let_106 _let_80 _let_49 _let_102))) (let ((_let_170 (APPLY_UF tptp.remove_pq))) (let ((_let_171 (CONG _let_96 _let_94 :args _let_170))) (let ((_let_172 (ASSUME :args (_let_104)))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)))) (let ((_let_175 (ASSUME :args (_let_49)))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (APPLY_UF tptp.i))) (let ((_let_178 (ASSUME :args (_let_102)))) (let ((_let_179 (ASSUME :args (_let_80)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (ASSUME :args (_let_106)))) (let ((_let_182 (ASSUME :args (_let_100)))) (let ((_let_183 (REORDERING (CNF_EQUIV_POS1 :args _let_118) :args ((or _let_74 _let_61 _let_116))))) (let ((_let_184 (tptp.triple _let_71 _let_70 tptp.bad))) (let ((_let_185 (= _let_38 _let_184))) (let ((_let_186 (not _let_64))) (let ((_let_187 (or _let_74 _let_186 _let_185))) (let ((_let_188 (= _let_47 (tptp.i (tptp.triple _let_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 tptp.bad))))) (let ((_let_189 (tptp.remove_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_190 (tptp.insert_slb _let_189 _let_34))) (let ((_let_191 (= _let_70 _let_190))) (let ((_let_192 (not _let_60))) (let ((_let_193 (or _let_56 _let_192 _let_191))) (let ((_let_194 (tptp.lookup_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_195 (= _let_63 _let_194))) (let ((_let_196 (or _let_56 _let_192 _let_195))) (let ((_let_197 (tptp.strictly_less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_194))) (let ((_let_198 (tptp.triple _let_71 _let_189 tptp.bad))) (let ((_let_199 (= _let_46 _let_198))) (let ((_let_200 (not _let_197))) (let ((_let_201 (or _let_192 _let_200 _let_199))) (let ((_let_202 (tptp.i _let_198))) (let ((_let_203 (= (tptp.i (tptp.triple _let_71 _let_190 tptp.bad)) (tptp.insert_pq _let_202 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)))) (let ((_let_204 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.contains_slb V X)) (not (tptp.strictly_less_than X (tptp.lookup_slb V X))) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple (tptp.remove_pqp U X) (tptp.remove_slb V X) tptp.bad)))))) (let ((_let_205 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_206 (_let_204))) (let ((_let_207 (tptp.triple U V W))) (let ((_let_208 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= U (tptp.remove_slb (tptp.insert_slb U (tptp.pair V W)) V))))) (let ((_let_209 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_210 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_209 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING ((tptp.insert_slb U (tptp.pair V W))))) :args (_let_208))) _let_209 :args (_let_76 false _let_208)))) (let ((_let_211 (forall ((U $$unsorted) (V $$unsorted)) (= U (tptp.remove_pq (tptp.insert_pq U V) V))))) (let ((_let_212 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (_let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.insert_pq U V)))) :args (_let_211))) _let_212 :args (_let_77 false _let_211)))) (let ((_let_214 (not _let_77))) (let ((_let_215 (not _let_56))) (let ((_let_216 (not _let_185))) (let ((_let_217 (not _let_76))) (let ((_let_218 (and _let_76 _let_185 _let_54 _let_56 _let_77 _let_188))) (let ((_let_219 (ASSUME :args (_let_56)))) (let ((_let_220 (SYMM _let_219))) (let ((_let_221 (CONG (REFL :args (_let_53)) (SYMM _let_220) :args _let_170))) (let ((_let_222 (ASSUME :args (_let_77)))) (let ((_let_223 (SYMM (SYMM _let_222)))) (let ((_let_224 (ASSUME :args (_let_188)))) (let ((_let_225 (APPLY_UF tptp.triple))) (let ((_let_226 (REFL :args (tptp.bad)))) (let ((_let_227 (ASSUME :args (_let_76)))) (let ((_let_228 (TRANS (CONG (REFL :args (_let_35)) _let_220 :args (APPLY_UF tptp.remove_slb)) (SYMM _let_227)))) (let ((_let_229 (REFL :args (_let_71)))) (let ((_let_230 (ASSUME :args (_let_185)))) (let ((_let_231 (SYMM (SYMM _let_230)))) (let ((_let_232 (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_56 _let_60 _let_117))))) (let ((_let_233 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.pair V X))) (or (= V W) (not (tptp.contains_slb U W)) (= (tptp.remove_slb (tptp.insert_slb U _let_1) W) (tptp.insert_slb (tptp.remove_slb U W) _let_1))))))) (let ((_let_234 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_234 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING ((tptp.remove_slb (tptp.insert_slb U (tptp.pair V X)) W)))) :args (_let_233))) _let_234 :args (_let_193 false _let_233)))) (let ((_let_236 (REORDERING (CNF_OR_POS :args (_let_193)) :args ((or _let_56 _let_192 _let_191 (not _let_193)))))) (let ((_let_237 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (= V W) (not (tptp.contains_slb U W)) (= (tptp.lookup_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.lookup_slb U W)))))) (let ((_let_238 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_239 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING ((tptp.lookup_slb (tptp.insert_slb U (tptp.pair V X)) W)))) :args (_let_237))) _let_238 :args (_let_196 false _let_237)))) (let ((_let_240 (REORDERING (CNF_OR_POS :args (_let_196)) :args ((or _let_56 _let_192 _let_195 (not _let_196)))))) (let ((_let_241 (and _let_64 _let_195))) (let ((_let_242 (_let_64 _let_195))) (let ((_let_243 (ASSUME :args (_let_64)))) (let ((_let_244 (ASSUME :args (_let_195)))) (let ((_let_245 (SYMM _let_244))) (let ((_let_246 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_71 _let_189 tptp.bad SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_203 false _let_8)))) (let ((_let_247 (not _let_203))) (let ((_let_248 (not _let_191))) (let ((_let_249 (and _let_185 _let_54 _let_104 _let_191 _let_199 _let_203 _let_49))) (let ((_let_250 (ASSUME :args (_let_199)))) (let ((_let_251 (ASSUME :args (_let_203)))) (let ((_let_252 (SYMM (SYMM _let_251)))) (let ((_let_253 (ASSUME :args (_let_191)))) (let ((_let_254 (CONG _let_229 (SYMM (SYMM _let_253)) _let_226 :args _let_225))) (let ((_let_255 (_let_21))) (let ((_let_256 (ASSUME :args _let_255))) (let ((_let_257 (or _let_65 _let_67))) (let ((_let_258 (_let_22))) (let ((_let_259 (ASSUME :args _let_258))) (let ((_let_260 (not _let_67))) (let ((_let_261 (_let_68))) (let ((_let_262 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.contains_slb V X)) (not (tptp.less_than (tptp.lookup_slb V X) X)) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple (tptp.remove_pqp U X) (tptp.remove_slb V X) W)))))) (let ((_let_263 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_264 (_let_262))) (let ((_let_265 (tptp.less_than _let_194 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_266 (tptp.triple _let_71 _let_189 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_267 (= _let_46 _let_266))) (let ((_let_268 (not _let_265))) (let ((_let_269 (or _let_192 _let_268 _let_267))) (let ((_let_270 (= (tptp.i _let_184) _let_81))) (let ((_let_271 (= _let_202 (tptp.i _let_266)))) (let ((_let_272 (not _let_73))) (let ((_let_273 (and _let_65 _let_195))) (let ((_let_274 (_let_65 _let_195))) (let ((_let_275 (ASSUME :args (_let_65)))) (let ((_let_276 (and _let_73 _let_54 _let_270 _let_104 _let_191 _let_203 _let_49 _let_271 _let_267))) (let ((_let_277 (ASSUME :args (_let_267)))) (let ((_let_278 (ASSUME :args (_let_271)))) (let ((_let_279 (SYMM _let_278))) (let ((_let_280 (SYMM _let_279))) (let ((_let_281 (ASSUME :args (_let_270)))) (let ((_let_282 (ASSUME :args (_let_73)))) (let ((_let_283 (CONG (SYMM (SYMM _let_282)) :args _let_177))) (let ((_let_284 (and _let_76 _let_73 _let_54 _let_56 _let_77 _let_80 _let_82))) (let ((_let_285 (ASSUME :args (_let_82)))) (let ((_let_286 (not _let_31))) (let ((_let_287 (_let_286))) (let ((_let_288 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_289 (tptp.i _let_288))) (let ((_let_290 (tptp.contains_pq _let_289 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_291 (not _let_290))) (let ((_let_292 (or _let_291 (= (tptp.i (tptp.remove_cpq _let_288 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (tptp.remove_pq _let_289 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))))) (let ((_let_293 (tptp.contains_pq tptp.create_pq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_294 (= tptp.create_pq _let_289))) (let ((_let_295 (not _let_293))) (let ((_let_296 (_let_20))) (let ((_let_297 (ASSUME :args _let_296))) (let ((_let_298 (not _let_294))) (let ((_let_299 (and _let_294 _let_295))) (let ((_let_300 (ASSUME :args (_let_295)))) (let ((_let_301 (ASSUME :args (_let_294)))) (let ((_let_302 (not _let_32))) (let ((_let_303 (_let_302))) (let ((_let_304 (not _let_30))) (let ((_let_305 (tptp.pi_sharp_remove _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_306 (= _let_305 _let_28))) (let ((_let_307 (_let_7))) (let ((_let_308 (ASSUME :args _let_307))) (let ((_let_309 (tptp.pi_remove _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_310 (= _let_309 _let_305))) (let ((_let_311 (_let_6))) (let ((_let_312 (ASSUME :args _let_311))) (let ((_let_313 (and _let_305 _let_27))) (let ((_let_314 (not _let_309))) (let ((_let_315 (or _let_314 (not (tptp.phi _let_26)) _let_313))) (let ((_let_316 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.triple U V W))) (let ((_let_2 (tptp.i _let_1))) (let ((_let_3 (tptp.remove_cpq _let_1 X))) (or (not (tptp.pi_remove _let_1 X)) (not (tptp.phi _let_3)) (and (tptp.pi_sharp_remove _let_2 X) (= (tptp.i _let_3) (tptp.remove_pq _let_2 X)))))))))) (let ((_let_317 (not _let_315))) (let ((_let_318 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_319 (not _let_316))) (let ((_let_320 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_318) :args (_let_319))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_319) _let_316))) (REFL :args (_let_317)) :args _let_83)) _let_318 :args (_let_317 true _let_316)))) (let ((_let_321 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_310)) :args ((or _let_314 _let_305 (not _let_310)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_315 0)) (CONG (REFL :args (_let_315)) (MACRO_SR_PRED_INTRO :args ((= (not _let_314) _let_309))) :args _let_83)) :args ((or _let_309 _let_315))) _let_320 :args (_let_309 true _let_315)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args (_let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_311)) _let_312 :args (_let_310 false _let_6)) :args (_let_305 false _let_309 false _let_310)))) (let ((_let_322 (_let_23))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_322) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_322)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_27 _let_29 _let_304))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_313)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_315 2)) _let_320 :args ((not _let_313) true _let_315)) _let_321 :args ((not _let_27) true _let_313 false _let_305)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_306)) :args ((or (not _let_305) _let_28 (not _let_306)))) _let_321 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (_let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pi_sharp_remove U V)))) :args _let_307)) _let_308 :args (_let_306 false _let_7)) :args (_let_28 false _let_305 false _let_306)) :args (_let_304 true _let_27 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_23 (not _let_33)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_33)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_303)) :args _let_303)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_302) _let_32))) (REFL :args ((not _let_292))) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_292 0)) (CONG (REFL :args (_let_292)) (MACRO_SR_PRED_INTRO :args ((= (not _let_291) _let_290))) :args _let_83)) :args ((or _let_290 _let_292))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_299)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_300 _let_301) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_301) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) :args _let_93) (FALSE_INTRO _let_300))) :args (_let_295 _let_294))) :args (_let_294 _let_295))) :args (true _let_299)) (CONG (REFL :args (_let_298)) (MACRO_SR_PRED_INTRO :args ((= (not _let_295) _let_293))) (REFL :args (_let_291)) :args _let_83)) :args ((or _let_291 _let_298 _let_293))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_155)) _let_154 :args (_let_294 false _let_153)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_297 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_296)) _let_297 :args (_let_295 false _let_20)) :args (_let_291 false _let_294 true _let_293)) :args (_let_292 true _let_290)) :args (_let_32 false _let_292)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_287)) :args _let_287)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_286) _let_31))) (REFL :args ((not _let_44))) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_284)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_219 _let_222 _let_179 _let_227 _let_285 _let_282) (SCOPE (TRANS _let_283 (SYMM (SYMM _let_285)) (CONG (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)) _let_228 _let_226 :args _let_225) :args _let_177) _let_180 _let_223 _let_221 _let_171) :args (_let_54 _let_56 _let_77 _let_80 _let_76 _let_82 _let_73))) :args (_let_76 _let_73 _let_54 _let_56 _let_77 _let_80 _let_82))) :args (true _let_284)) :args ((or _let_39 _let_217 _let_272 _let_168 _let_215 _let_214 _let_166 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.bad QUANTIFIERS_INST_CBQI_PROP)) :args _let_162)) _let_161 :args (_let_82 false _let_3)) _let_164 _let_213 _let_89 _let_210 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_276)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_172 _let_175 _let_277 _let_278 _let_251 _let_253 _let_281 _let_282) (SCOPE (TRANS _let_283 (SYMM _let_281) (CONG _let_254 :args _let_177) _let_252 (CONG _let_280 _let_174 :args _let_143) (CONG (TRANS _let_279 (TRANS _let_280 (CONG (SYMM _let_277) :args _let_177) _let_176)) _let_174 :args _let_143) _let_173 _let_171) :args (_let_54 _let_104 _let_49 _let_267 _let_271 _let_203 _let_191 _let_270 _let_73))) :args (_let_73 _let_54 _let_270 _let_104 _let_191 _let_203 _let_49 _let_271 _let_267))) :args (true _let_276)) :args ((or _let_39 _let_272 _let_168 (not _let_270) _let_167 _let_248 _let_247 _let_165 (not _let_271) (not _let_267)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_71 _let_71 _let_189 tptp.bad SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_162)) _let_161 :args (_let_271 false _let_3)) _let_246 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_71 _let_71 _let_70 tptp.bad SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING ((tptp.triple X10 X12 X13) (tptp.triple X11 X12 X14)))) :args _let_162)) _let_161 :args (_let_270 false _let_3)) _let_89 (REORDERING (CNF_OR_POS :args (_let_269)) :args ((or _let_192 _let_268 _let_267 (not _let_269)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_263 :args _let_119) :args _let_264)) _let_263 :args (_let_269 false _let_262)) (RESOLUTION (CNF_AND_NEG :args (_let_273)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_275 _let_244) (SCOPE (TRUE_ELIM (TRANS (CONG _let_245 _let_94 :args (APPLY_UF tptp.less_than)) (TRUE_INTRO _let_275))) :args _let_274)) :args _let_274)) :args (true _let_273)) _let_240 _let_239 _let_236 _let_235 _let_125 _let_232 _let_124 _let_123 _let_120 :args ((or _let_39 _let_66 _let_272 _let_56 _let_108 _let_117 _let_107) false _let_271 false _let_203 false _let_270 false _let_54 false _let_267 false _let_269 false _let_265 false _let_195 false _let_196 false _let_191 false _let_193 false _let_49 false _let_60 false _let_104 false _let_105 false _let_50)) (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_66 _let_73 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_263 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING ((tptp.remove_cpq (tptp.triple U V W) X)))) :args _let_264)) _let_263 :args (_let_75 false _let_262)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_261) (CONG (REFL :args _let_261) (REFL :args (_let_260)) (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_83)) :args ((or _let_65 _let_68 _let_260))) (REORDERING (CNF_OR_POS :args (_let_257)) :args ((or _let_65 _let_67 (not _let_257)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_259 :args (_let_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_than U V) true))))) :args _let_258)) _let_259 :args (_let_257 false _let_22)) :args ((or _let_65 _let_68) false _let_67 false _let_257)) (REORDERING (CNF_EQUIV_POS2 :args (_let_69)) :args ((or _let_64 (not _let_68) (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_63 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strictly_less_than U V)))) :args _let_255)) _let_256 :args (_let_69 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_249)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_172 _let_175 _let_250 _let_251 _let_253 _let_230) (SCOPE (TRANS (CONG (TRANS _let_231 _let_254) :args _let_177) _let_252 (CONG (TRANS (CONG (SYMM _let_250) :args _let_177) _let_176) _let_174 :args _let_143) _let_173 _let_171) :args (_let_54 _let_104 _let_49 _let_199 _let_203 _let_191 _let_185))) :args (_let_185 _let_54 _let_104 _let_191 _let_199 _let_203 _let_49))) :args (true _let_249)) :args ((or _let_39 _let_216 _let_168 _let_167 _let_248 (not _let_199) _let_247 _let_165))) _let_246 _let_89 (REORDERING (CNF_OR_POS :args (_let_201)) :args ((or _let_192 _let_200 _let_199 (not _let_201)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.contains_slb V X) false)) _let_207))) :args _let_206)) _let_205 :args (_let_201 false _let_204)) (RESOLUTION (CNF_AND_NEG :args (_let_241)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_243 _let_244) (SCOPE (TRUE_ELIM (TRANS (CONG _let_94 _let_245 :args (APPLY_UF tptp.strictly_less_than)) (TRUE_INTRO _let_243))) :args _let_242)) :args _let_242)) :args (true _let_241)) _let_240 _let_239 _let_236 _let_235 _let_125 _let_232 _let_124 _let_123 _let_120 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_218)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_219 _let_222 _let_224 _let_227 _let_230) (SCOPE (TRANS (CONG (TRANS _let_231 (CONG _let_229 _let_228 _let_226 :args _let_225)) :args _let_177) (SYMM _let_224) _let_223 _let_221 _let_171) :args (_let_54 _let_56 _let_77 _let_188 _let_76 _let_185))) :args (_let_76 _let_185 _let_54 _let_56 _let_77 _let_188))) :args (true _let_218)) :args ((or _let_39 _let_217 _let_216 _let_168 _let_215 _let_214 (not _let_188)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.bad QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_162)) _let_161 :args (_let_188 false _let_3)) _let_213 _let_89 _let_210 (REORDERING (CNF_OR_POS :args (_let_187)) :args ((or _let_74 _let_186 _let_185 (not _let_187)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING ((tptp.remove_cpq _let_207 X)))) :args _let_206)) _let_205 :args (_let_187 false _let_204)) _let_183 _let_114 _let_113 :args ((or _let_39 _let_74 _let_186 _let_108 _let_107) false _let_203 false _let_54 false _let_199 false _let_201 false _let_197 false _let_195 false _let_196 false _let_191 false _let_193 false _let_49 false _let_60 false _let_104 false _let_105 false _let_50 true _let_56 false _let_188 false _let_77 false _let_54 false _let_76 false _let_185 false _let_187 false _let_61 false _let_62 false _let_16)) _let_183 _let_115 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_169)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_172 _let_175 _let_178 _let_179 _let_181 _let_182) (SCOPE (TRANS (CONG (SYMM (SYMM _let_182)) :args _let_177) (SYMM (SYMM _let_181)) (CONG (TRANS _let_180 (TRANS (SYMM _let_180) (CONG (SYMM (SYMM _let_178)) :args _let_177) _let_176)) _let_174 :args _let_143) _let_173 _let_171) :args (_let_54 _let_104 _let_49 _let_102 _let_80 _let_106 _let_100))) :args (_let_100 _let_54 _let_104 _let_106 _let_80 _let_49 _let_102))) :args (true _let_169)) :args ((or _let_39 (not _let_100) _let_168 _let_167 (not _let_106) _let_166 _let_165 (not _let_102)))) _let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 tptp.bad SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_106 false _let_8)) _let_89 _let_125 _let_124 _let_123 _let_120 (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_60 _let_102 (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_110 :args _let_119) :args _let_111))) _let_110 :args (_let_103 false _let_109)) (CNF_OR_NEG :args (_let_61 1)) (CNF_OR_NEG :args (_let_61 0)) (REORDERING (CNF_EQUIV_POS2 :args _let_118) :args ((or _let_59 _let_117 _let_116))) _let_115 (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_59 _let_100 (not _let_101)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING ((tptp.remove_cpq (tptp.triple U V W) X)))) :args _let_111)) _let_110 :args (_let_101 false _let_109)) :args ((or _let_39 _let_59 _let_108 _let_107) false _let_80 false _let_106 false _let_54 false _let_49 false _let_104 false _let_105 false _let_50 false _let_102 false _let_103 true _let_56 true _let_60 true _let_61 false _let_62 false _let_100 false _let_101)) (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_57 (not _let_55) (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING ((tptp.contains_pq (tptp.insert_pq U V) W)))) :args _let_97)) _let_98 :args (_let_58 false _let_19)) (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_92 _let_95) (SCOPE (TRUE_ELIM (TRANS (CONG _let_96 _let_94 :args _let_93) (TRUE_INTRO _let_92))) :args _let_91)) :args _let_91)) :args (true _let_90)) _let_89 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_85) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.contains_pq (tptp.i (tptp.triple Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 Z)) X1) false))))) :args _let_85))) (CNF_OR_NEG :args (_let_44 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 1)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_83)) :args ((or _let_40 _let_44))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_83)) :args ((or _let_42 _let_44))) :args (_let_44 false _let_82 false _let_80 false _let_77 false _let_54 false _let_76 false _let_56 false _let_73 false _let_75 false _let_65 true _let_68 false _let_69 true _let_64 false _let_61 false _let_62 false _let_59 false _let_57 false _let_58 false _let_55 false _let_54 false _let_52 true _let_39 false _let_40 false _let_42)) :args (_let_31 false _let_44)) :args (_let_33 false _let_32 false _let_31)) :args (_let_23 false _let_33)) :args (false true _let_30 false _let_23)) :args ((forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.less_than U V) (tptp.less_than V W)) (tptp.less_than U W))) _let_22 (forall ((U $$unsorted)) (tptp.less_than U U)) _let_21 (forall ((U $$unsorted)) (tptp.less_than tptp.bottom U)) (not (tptp.isnonempty_pq tptp.create_pq)) (forall ((U $$unsorted) (V $$unsorted)) (tptp.isnonempty_pq (tptp.insert_pq U V))) _let_20 _let_19 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.issmallestelement_pq U V) (forall ((W $$unsorted)) (=> (tptp.contains_pq U W) (tptp.less_than V W))))) _let_18 _let_17 (forall ((U $$unsorted) (V $$unsorted)) (=> (and (tptp.contains_pq U V) (tptp.issmallestelement_pq U V)) (= (tptp.findmin_pq_eff U V) U))) (forall ((U $$unsorted) (V $$unsorted)) (=> (and (tptp.contains_pq U V) (tptp.issmallestelement_pq U V)) (= (tptp.findmin_pq_res U V) V))) (forall ((U $$unsorted) (V $$unsorted)) (=> (and (tptp.contains_pq U V) (tptp.issmallestelement_pq U V)) (= (tptp.removemin_pq_eff U V) (tptp.remove_pq U V)))) (forall ((U $$unsorted) (V $$unsorted)) (=> (and (tptp.contains_pq U V) (tptp.issmallestelement_pq U V)) (= (tptp.removemin_pq_res U V) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.insert_pq (tptp.insert_pq U V) W) (tptp.insert_pq (tptp.insert_pq U W) V))) (not (tptp.isnonempty_slb tptp.create_slb)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (tptp.isnonempty_slb (tptp.insert_slb U (tptp.pair V W)))) (forall ((U $$unsorted)) (not (tptp.contains_slb tptp.create_slb U))) _let_16 (forall ((U $$unsorted) (V $$unsorted)) (not (tptp.pair_in_list tptp.create_slb U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.pair_in_list (tptp.insert_slb U (tptp.pair V X)) W Y) (or (tptp.pair_in_list U W Y) (and (= V W) (= X Y))))) _let_15 _let_14 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.lookup_slb (tptp.insert_slb U (tptp.pair V W)) V) W)) _let_13 (forall ((U $$unsorted)) (= (tptp.update_slb tptp.create_slb U) tptp.create_slb)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (tptp.strictly_less_than X W) (= (tptp.update_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.insert_slb (tptp.update_slb U W) (tptp.pair V W))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.pair V X))) (=> (tptp.less_than W X) (= (tptp.update_slb (tptp.insert_slb U _let_1) W) (tptp.insert_slb (tptp.update_slb U W) _let_1))))) (forall ((U $$unsorted)) (tptp.succ_cpq U U)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.insert_cpq V W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.remove_cpq V W)))) (forall ((U $$unsorted) (V $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.findmin_cpq_eff V)))) (forall ((U $$unsorted) (V $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.removemin_cpq_eff V)))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.check_cpq (tptp.triple U tptp.create_slb V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.less_than Y X) (= (tptp.check_cpq (tptp.triple U (tptp.insert_slb V (tptp.pair X Y)) W)) (tptp.check_cpq (tptp.triple U V W))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.strictly_less_than X Y) (= (tptp.check_cpq (tptp.triple U (tptp.insert_slb V (tptp.pair X Y)) W)) false))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.contains_cpq (tptp.triple U V W) X) (tptp.contains_slb V X))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.ok (tptp.triple U V tptp.bad)) false)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (not (tptp.ok (tptp.triple U V W))) (= W tptp.bad))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.insert_cpq (tptp.triple U V W) X) (tptp.triple (tptp.insert_pqp U X) (tptp.insert_slb V (tptp.pair X tptp.bottom)) W))) _let_12 _let_11 _let_10 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.findmin_cpq_eff (tptp.triple U tptp.create_slb V)) (tptp.triple U tptp.create_slb tptp.bad))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (not (tptp.contains_slb V _let_1))) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) tptp.bad))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (tptp.contains_slb V _let_1) (tptp.strictly_less_than _let_1 (tptp.lookup_slb V _let_1))) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) tptp.bad))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (tptp.contains_slb V _let_1) (tptp.less_than (tptp.lookup_slb V _let_1) _let_1)) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) W))))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.findmin_cpq_res (tptp.triple U tptp.create_slb V)) tptp.bottom)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (not (= V tptp.create_slb)) (= (tptp.findmin_cpq_res (tptp.triple U V W)) (tptp.findmin_pqp_res U)))) (forall ((U $$unsorted)) (= (tptp.removemin_cpq_eff U) (tptp.remove_cpq (tptp.findmin_cpq_eff U) (tptp.findmin_cpq_res U)))) (forall ((U $$unsorted)) (= (tptp.removemin_cpq_res U) (tptp.findmin_cpq_res U))) _let_9 _let_8 _let_7 _let_6 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.pi_sharp_find_min U V) (and (tptp.contains_pq U V) (tptp.issmallestelement_pq U V)))) (forall ((U $$unsorted)) (= (tptp.pi_find_min U) (exists ((V $$unsorted)) (tptp.pi_sharp_find_min (tptp.i U) V)))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.pi_sharp_removemin U V) (and (tptp.contains_pq U V) (tptp.issmallestelement_pq U V)))) (forall ((U $$unsorted)) (= (tptp.pi_removemin U) (exists ((V $$unsorted)) (tptp.pi_sharp_find_min (tptp.i U) V)))) (forall ((U $$unsorted)) (= (tptp.phi U) (exists ((V $$unsorted)) (and (tptp.succ_cpq U V) (tptp.ok V) (tptp.check_cpq V))))) _let_5 _let_2 (=> (and (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.triple U tptp.create_slb V))) (= (tptp.contains_cpq _let_1 W) (tptp.contains_pq (tptp.i _let_1) W)))) (forall ((X $$unsorted)) (=> (forall ((Y $$unsorted) (Z $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.triple Y X Z))) (= (tptp.contains_cpq _let_1 X1) (tptp.contains_pq (tptp.i _let_1) X1)))) (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (let ((_let_1 (tptp.triple X2 (tptp.insert_slb X (tptp.pair X4 X5)) X3))) (= (tptp.contains_cpq _let_1 X6) (tptp.contains_pq (tptp.i _let_1) X6))))))) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (let ((_let_1 (tptp.triple X7 X8 X9))) (= (tptp.contains_cpq _let_1 X10) (tptp.contains_pq (tptp.i _let_1) X10))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.20/27.50  )
% 27.20/27.50  % SZS output end Proof for SWV416+2
% 27.20/27.50  % cvc5---1.0.5 exiting
% 27.20/27.50  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------