TSTP Solution File: SYN036-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 02:00:55 EDT 2023

% Result   : Unsatisfiable 0.21s 0.68s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 16:59:56 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.sOUjB7bwy7/cvc5---1.0.5_15361.p...
% 0.21/0.54  ------- get file name : TPTP file name is SYN036-1
% 0.21/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15361.smt2...
% 0.21/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.68  % SZS status Unsatisfiable for SYN036-1
% 0.21/0.68  % SZS output start Proof for SYN036-1
% 0.21/0.70  (
% 0.21/0.70  (let ((_let_1 (forall ((X10 $$unsorted) (X12 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))))) (let ((_let_2 (forall ((X10 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (not (tptp.big_p X14)) (tptp.big_q X15))))) (let ((_let_3 (forall ((X10 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (not (tptp.big_p X14)) (tptp.big_q X15))))) (let ((_let_4 (forall ((X10 $$unsorted) (X11 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (tptp.big_q tptp.c14) (tptp.big_p X11) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (tptp.big_p tptp.c19) (tptp.big_q X17))))) (let ((_let_5 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (not (tptp.big_q X8)) (tptp.big_p X9) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))))) (let ((_let_6 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (not (tptp.big_q X8)) (tptp.big_p X9) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (not (tptp.big_p X14)) (tptp.big_q X15))))) (let ((_let_7 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (not (tptp.big_q X8)) (tptp.big_p X9) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (not (tptp.big_p X14)) (tptp.big_q X15))))) (let ((_let_8 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (not (tptp.big_q X8)) (tptp.big_p X9) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))))) (let ((_let_9 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (not (tptp.big_q X8)) (tptp.big_p X9) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (not (tptp.big_p X14)) (tptp.big_q X15))))) (let ((_let_10 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (not (tptp.big_q X8)) (tptp.big_p X9) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (not (tptp.big_p X14)) (tptp.big_q X15))))) (let ((_let_11 (forall ((Y $$unsorted) (X3 $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (tptp.big_q tptp.c4) (tptp.big_p X3) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (not (tptp.big_p X1)) (tptp.big_q X2))))) (let ((_let_12 (forall ((Y $$unsorted) (X3 $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (tptp.big_q tptp.c4) (tptp.big_p X3) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (not (tptp.big_p X1)) (tptp.big_q X2))))) (let ((_let_13 (forall ((X $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (not (tptp.big_p X1)) (tptp.big_q X2))))) (let ((_let_14 (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (not (tptp.big_q U)) (tptp.big_p V) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (tptp.big_p tptp.c9) (tptp.big_q X5))))) (let ((_let_15 (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (not (tptp.big_q U)) (tptp.big_p V) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (tptp.big_p tptp.c9) (tptp.big_q X5))))) (let ((_let_16 (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (not (tptp.big_q U)) (tptp.big_p V) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))))) (let ((_let_17 (forall ((U $$unsorted)) (not (tptp.big_q U))))) (let ((_let_18 (tptp.big_q tptp.c1))) (let ((_let_19 (forall ((X8 $$unsorted)) (not (tptp.big_q X8))))) (let ((_let_20 (forall ((X8 $$unsorted)) (not (tptp.big_q X8))))) (let ((_let_21 (tptp.big_p tptp.c11))) (let ((_let_22 (forall ((V $$unsorted)) (tptp.big_p V)))) (let ((_let_23 (forall ((X9 $$unsorted)) (tptp.big_p X9)))) (let ((_let_24 (forall ((X14 $$unsorted)) (not (tptp.big_p X14))))) (let ((_let_25 (forall ((X14 $$unsorted)) (not (tptp.big_p X14))))) (let ((_let_26 (forall ((X7 $$unsorted)) (not (tptp.big_p X7))))) (let ((_let_27 (forall ((X14 $$unsorted)) (not (tptp.big_p X14))))) (let ((_let_28 (forall ((X7 $$unsorted)) (not (tptp.big_p X7))))) (let ((_let_29 (forall ((X14 $$unsorted)) (not (tptp.big_p X14))))) (let ((_let_30 (forall ((X2 $$unsorted)) (tptp.big_q X2)))) (let ((_let_31 (tptp.big_q tptp.c20))) (let ((_let_32 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_33 (tptp.f4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_34 (tptp.big_q _let_33))) (let ((_let_35 (forall ((X1 $$unsorted)) (not (tptp.big_p X1))))) (let ((_let_36 (forall ((X16 $$unsorted)) (or (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)))))) (let ((_let_37 (not _let_32))) (let ((_let_38 (not _let_34))) (let ((_let_39 (or _let_38 _let_37))) (let ((_let_40 (forall ((X16 $$unsorted)) (or (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)))))) (let ((_let_41 (not _let_17))) (let ((_let_42 (ALPHA_EQUIV :args (_let_17 (= U X8))))) (let ((_let_43 (REORDERING (EQUIV_ELIM1 _let_42) :args ((or _let_19 _let_41))))) (let ((_let_44 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_17 (= U X8)))))) (let ((_let_45 (forall ((X12 $$unsorted)) (not (tptp.big_q X12))))) (let ((_let_46 (forall ((X13 $$unsorted)) (not (tptp.big_q X13))))) (let ((_let_47 (forall ((X12 $$unsorted)) (not (tptp.big_q X12))))) (let ((_let_48 (forall ((X18 $$unsorted)) (not (tptp.big_p X18))))) (let ((_let_49 (tptp.big_p tptp.c15))) (let ((_let_50 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_51 (tptp.f3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_52 (tptp.big_p _let_51))) (let ((_let_53 (not _let_52))) (let ((_let_54 (not _let_50))) (let ((_let_55 (or _let_54 _let_53))) (let ((_let_56 (forall ((X10 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))))))) (let ((_let_57 (forall ((X10 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))))))) (let ((_let_58 (forall ((X10 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))))))) (let ((_let_59 (forall ((X15 $$unsorted)) (tptp.big_q X15)))) (let ((_let_60 (forall ((X13 $$unsorted)) (tptp.big_q X13)))) (let ((_let_61 (forall ((X15 $$unsorted)) (tptp.big_q X15)))) (let ((_let_62 (forall ((X14 $$unsorted)) (not (tptp.big_p X14))))) (let ((_let_63 (tptp.big_q tptp.c16))) (let ((_let_64 (forall ((X14 $$unsorted)) (not (tptp.big_p X14))))) (let ((_let_65 (not _let_21))) (let ((_let_66 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_67 (tptp.f1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_68 (tptp.big_p _let_67))) (let ((_let_69 (or _let_66 _let_68))) (let ((_let_70 (_let_35))) (let ((_let_71 ((not (= (tptp.big_p X1) false))))) (let ((_let_72 (ASSUME :args _let_70))) (let ((_let_73 (forall ((X $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)))))) (let ((_let_74 (forall ((X $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)))))) (let ((_let_75 (forall ((X $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)))))) (let ((_let_76 (tptp.f1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_77 (tptp.big_p _let_76))) (let ((_let_78 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_79 (or _let_78 _let_77))) (let ((_let_80 (forall ((Y $$unsorted)) (tptp.big_p Y)))) (let ((_let_81 (forall ((X3 $$unsorted)) (tptp.big_p X3)))) (let ((_let_82 (forall ((X3 $$unsorted)) (tptp.big_p X3)))) (let ((_let_83 (forall ((X11 $$unsorted)) (tptp.big_p X11)))) (let ((_let_84 (tptp.big_q tptp.c7))) (let ((_let_85 (tptp.f2 tptp.c7))) (let ((_let_86 (tptp.big_q _let_85))) (let ((_let_87 (not _let_84))) (let ((_let_88 (not _let_86))) (let ((_let_89 (or _let_88 _let_87))) (let ((_let_90 (forall ((W $$unsorted)) (or (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)))))) (let ((_let_91 (not _let_73))) (let ((_let_92 (_let_91))) (let ((_let_93 (_let_22))) (let ((_let_94 ((not (= (tptp.big_p V) true))))) (let ((_let_95 (ASSUME :args _let_93))) (let ((_let_96 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_93)))) (let ((_let_97 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_22 (= V Y)))))) (let ((_let_98 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_22 (= V X3)))))) (let ((_let_99 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_22 (= V X3)))))) (let ((_let_100 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_22 (= V X9)))))) (let ((_let_101 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_22 (= V X11)))))) (let ((_let_102 (tptp.big_q tptp.c14))) (let ((_let_103 (forall ((X2 $$unsorted)) (tptp.big_q X2)))) (let ((_let_104 (forall ((X2 $$unsorted)) (tptp.big_q X2)))) (let ((_let_105 (forall ((X17 $$unsorted)) (tptp.big_q X17)))) (let ((_let_106 (_let_17))) (let ((_let_107 ((not (= (tptp.big_q U) false))))) (let ((_let_108 (ASSUME :args _let_106))) (let ((_let_109 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (tptp.c14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_106)))) (let ((_let_110 (not _let_30))) (let ((_let_111 (_let_30))) (let ((_let_112 ((not (= (tptp.big_q X2) true))))) (let ((_let_113 (ASSUME :args _let_111))) (let ((_let_114 (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.c14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) :args ((or _let_102 _let_110))))) (let ((_let_115 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_30 (= X2 X2)))))) (let ((_let_116 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_30 (= X2 X2)))))) (let ((_let_117 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_118 (tptp.f4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_119 (tptp.big_q _let_118))) (let ((_let_120 (or _let_86 _let_84))) (let ((_let_121 (forall ((W $$unsorted)) (or (tptp.big_q (tptp.f2 W)) (tptp.big_q W))))) (let ((_let_122 (forall ((W $$unsorted)) (or (tptp.big_q (tptp.f2 W)) (tptp.big_q W))))) (let ((_let_123 (forall ((W $$unsorted)) (or (tptp.big_q (tptp.f2 W)) (tptp.big_q W))))) (let ((_let_124 (tptp.big_q tptp.c4))) (let ((_let_125 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_126 (tptp.f3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_127 (tptp.big_p _let_126))) (let ((_let_128 (tptp.big_p tptp.c19))) (let ((_let_129 (or _let_119 _let_117))) (let ((_let_130 (forall ((X16 $$unsorted)) (or (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16))))) (let ((_let_131 (forall ((X16 $$unsorted)) (or (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16))))) (let ((_let_132 (forall ((X10 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)))))) (let ((_let_133 (forall ((X10 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)))))) (let ((_let_134 (or _let_125 _let_127))) (let ((_let_135 (tptp.c7 QUANTIFIERS_INST_ENUM))) (let ((_let_136 (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_135) :args _let_106)) :args ((or _let_87 _let_41))))) (let ((_let_137 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_85 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_106)))) (let ((_let_138 (not _let_120))) (let ((_let_139 (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_84 _let_86 _let_138))))) (let ((_let_140 (_let_121))) (let ((_let_141 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_140) :args _let_135) :args _let_140)))) (let ((_let_142 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_121 (= W W)))))) (let ((_let_143 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_121 (= W W)))))) (let ((_let_144 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (tptp.c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_106)))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_35 (= X1 X1)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_35 (= X1 Y)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_35 (= X1 X1)))) :args ((or _let_124 _let_35 _let_80 _let_81 _let_122 _let_103 _let_82 _let_123 _let_104) true (tptp.big_p tptp.c3) true (forall ((X1 $$unsorted)) (not (tptp.big_p X1))) true (forall ((Y $$unsorted)) (not (tptp.big_p Y))) true (forall ((X1 $$unsorted)) (not (tptp.big_p X1))))))) (let ((_let_146 (_let_130))) (let ((_let_147 (_let_133))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_147) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f3 X10)))) :args _let_147)) (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_125 _let_127 (not _let_134)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_133 (= X10 X10)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_128 _let_102 _let_132 _let_83 _let_131 _let_105))) (EQUIV_ELIM2 (ALPHA_EQUIV 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(MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_93)) :args ((or _let_225 _let_208))) _let_233 :args (_let_225 false _let_22)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_228 (= X X)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_234) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f1 X)))) :args _let_234)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_230 _let_229 _let_232))) (MACRO_RESOLUTION_TRUST _let_96 _let_233 :args (_let_78 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_76 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_93)) _let_233 :args (_let_77 false _let_22)) :args (_let_232 false _let_78 false _let_77)) :args ((not _let_228) true _let_231)) :args ((not _let_224) true _let_228)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_121 (= W W)))) _let_227 :args ((not _let_223) true _let_121)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_35 (= X1 X1)))) _let_201 :args ((not _let_222) true _let_35)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_30 (= X2 X2)))) _let_226 :args ((not _let_221) true _let_30)) :args (_let_18 false _let_225 true _let_224 true _let_223 true _let_222 true _let_221)) _let_220 :args (false false _let_18 false _let_17)) :args ((forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (not (tptp.big_q U)) (tptp.big_p V) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (not 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$$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((X $$unsorted) (W $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((X $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((X $$unsorted) (W $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((X $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((X $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) (forall ((X $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((X $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (tptp.big_p X) (tptp.big_p (tptp.f1 X)) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (not (tptp.big_q U)) (tptp.big_p V) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (not (tptp.big_q U)) (tptp.big_p V) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (not (tptp.big_q U)) (tptp.big_p V) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (not (tptp.big_q U)) (tptp.big_p V) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (not (tptp.big_q U)) (tptp.big_p V) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (not (tptp.big_q U)) (tptp.big_p V) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (not (tptp.big_q U)) (tptp.big_p V) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (not (tptp.big_q U)) (tptp.big_p V) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) _let_13 (forall ((X $$unsorted) (W $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((X $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((X $$unsorted) (W $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((X $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((X $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) (forall ((X $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((X $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_p (tptp.f1 X))) (tptp.big_q tptp.c1) (not (tptp.big_p tptp.c2)) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) _let_12 (forall ((Y $$unsorted) (X3 $$unsorted) (W $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (tptp.big_q tptp.c4) (tptp.big_p X3) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((Y $$unsorted) (X3 $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (tptp.big_q tptp.c4) (tptp.big_p X3) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((Y $$unsorted) (X3 $$unsorted) (W $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (tptp.big_q tptp.c4) (tptp.big_p X3) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((Y $$unsorted) (X3 $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (tptp.big_q tptp.c4) (tptp.big_p X3) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((Y $$unsorted) (X3 $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (tptp.big_q tptp.c4) (tptp.big_p X3) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) (forall ((Y $$unsorted) (X3 $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (tptp.big_q tptp.c4) (tptp.big_p X3) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((Y $$unsorted) (X3 $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (tptp.big_q tptp.c4) (tptp.big_p X3) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) (forall ((Y $$unsorted) (X4 $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((Y $$unsorted) (X4 $$unsorted) (W $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((Y $$unsorted) (X4 $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((Y $$unsorted) (X4 $$unsorted) (W $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((Y $$unsorted) (X4 $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((Y $$unsorted) (X4 $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) (forall ((Y $$unsorted) (X4 $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((Y $$unsorted) (X4 $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (not (tptp.big_p tptp.c3)) (tptp.big_p Y) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) _let_11 (forall ((Y $$unsorted) (X3 $$unsorted) (W $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (tptp.big_q tptp.c4) (tptp.big_p X3) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((Y $$unsorted) (X3 $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (tptp.big_q tptp.c4) (tptp.big_p X3) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((Y $$unsorted) (X3 $$unsorted) (W $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (tptp.big_q tptp.c4) (tptp.big_p X3) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((Y $$unsorted) (X3 $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (tptp.big_q tptp.c4) (tptp.big_p X3) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((Y $$unsorted) (X3 $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (tptp.big_q tptp.c4) (tptp.big_p X3) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) (forall ((Y $$unsorted) (X3 $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (tptp.big_q tptp.c4) (tptp.big_p X3) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((Y $$unsorted) (X3 $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (tptp.big_q tptp.c4) (tptp.big_p X3) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) (forall ((Y $$unsorted) (X4 $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((Y $$unsorted) (X4 $$unsorted) (W $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (tptp.big_q (tptp.f2 W)) (tptp.big_q W) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((Y $$unsorted) (X4 $$unsorted) (W $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (not (tptp.big_p X1)) (tptp.big_q X2))) (forall ((Y $$unsorted) (X4 $$unsorted) (W $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (not (tptp.big_q (tptp.f2 W))) (not (tptp.big_q W)) (tptp.big_p tptp.c6) (not (tptp.big_q tptp.c7)))) (forall ((Y $$unsorted) (X4 $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((Y $$unsorted) (X4 $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (not (tptp.big_q Z)) (tptp.big_q tptp.c8) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) (forall ((Y $$unsorted) (X4 $$unsorted) (Z $$unsorted) (X5 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (tptp.big_p tptp.c9) (tptp.big_q X5))) (forall ((Y $$unsorted) (X4 $$unsorted) (Z $$unsorted) (X6 $$unsorted)) (or (tptp.big_p tptp.c3) (not (tptp.big_p Y)) (not (tptp.big_q X4)) (not (tptp.big_p tptp.c5)) (tptp.big_q Z) (not (tptp.big_q tptp.c8)) (not (tptp.big_p X6)) (not (tptp.big_q tptp.c10)))) _let_10 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X13 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (not (tptp.big_q X8)) (tptp.big_p X9) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) _let_9 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X13 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (not (tptp.big_q X8)) (tptp.big_p X9) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (not (tptp.big_q X8)) (tptp.big_p X9) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (not (tptp.big_q X8)) (tptp.big_p X9) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (not (tptp.big_q X8)) (tptp.big_p X9) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (tptp.big_p tptp.c19) (tptp.big_q X17))) _let_8 (forall ((X7 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (not (tptp.big_p X14)) (tptp.big_q X15))) (forall ((X7 $$unsorted) (X13 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X7 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (not (tptp.big_p X14)) (tptp.big_q X15))) (forall ((X7 $$unsorted) (X13 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X7 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X7 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X7 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X7 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (not (tptp.big_p tptp.c11)) (tptp.big_p X7) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) _let_7 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X13 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (not (tptp.big_q X8)) (tptp.big_p X9) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) _let_6 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X13 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (not (tptp.big_q X8)) (tptp.big_p X9) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (not (tptp.big_q X8)) (tptp.big_p X9) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (not (tptp.big_q X8)) (tptp.big_p X9) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (not (tptp.big_q X8)) (tptp.big_p X9) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (tptp.big_p tptp.c19) (tptp.big_q X17))) _let_5 (forall ((X7 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (not (tptp.big_p X14)) (tptp.big_q X15))) (forall ((X7 $$unsorted) (X13 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X7 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (not (tptp.big_p X14)) (tptp.big_q X15))) (forall ((X7 $$unsorted) (X13 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X7 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X7 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X7 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X7 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (tptp.big_p tptp.c11) (not (tptp.big_p X7)) (tptp.big_q tptp.c12) (not (tptp.big_p tptp.c13)) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (tptp.big_q tptp.c14) (tptp.big_p X11) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (not (tptp.big_p X14)) (tptp.big_q X15))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X13 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (tptp.big_q tptp.c14) (tptp.big_p X11) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (tptp.big_q tptp.c14) (tptp.big_p X11) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (not (tptp.big_p X14)) (tptp.big_q X15))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X13 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (tptp.big_q tptp.c14) (tptp.big_p X11) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) _let_4 (forall ((X10 $$unsorted) (X11 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (tptp.big_q tptp.c14) (tptp.big_p X11) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (tptp.big_q tptp.c14) (tptp.big_p X11) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (tptp.big_q tptp.c14) (tptp.big_p X11) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (not (tptp.big_p X14)) (tptp.big_q X15))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (not (tptp.big_p X14)) (tptp.big_q X15))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (tptp.big_p X10) (tptp.big_p (tptp.f3 X10)) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (tptp.big_q tptp.c14) (tptp.big_p X11) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (not (tptp.big_p X14)) (tptp.big_q X15))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X13 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (tptp.big_q tptp.c14) (tptp.big_p X11) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (tptp.big_q tptp.c14) (tptp.big_p X11) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (not (tptp.big_p X14)) (tptp.big_q X15))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X13 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (tptp.big_q tptp.c14) (tptp.big_p X11) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (tptp.big_q tptp.c14) (tptp.big_p X11) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (tptp.big_q tptp.c14) (tptp.big_p X11) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (tptp.big_q tptp.c14) (tptp.big_p X11) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (tptp.big_q tptp.c14) (tptp.big_p X11) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) _let_3 (forall ((X10 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (not (tptp.big_q X13)) (tptp.big_q tptp.c16) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) _let_2 (forall ((X10 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (tptp.big_q X13) (not (tptp.big_q tptp.c16)) (tptp.big_p tptp.c17) (not (tptp.big_q tptp.c18)))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (tptp.big_p tptp.c19) (tptp.big_q X17))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X16 $$unsorted) (X18 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (tptp.big_q (tptp.f4 X16)) (tptp.big_q X16) (not (tptp.big_p X18)) (not (tptp.big_q tptp.c20)))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.big_p X10)) (not (tptp.big_p (tptp.f3 X10))) (not (tptp.big_q X12)) (not (tptp.big_p tptp.c15)) (not (tptp.big_q (tptp.f4 X16))) (not (tptp.big_q X16)) (tptp.big_p tptp.c19) (tptp.big_q X17))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.70  )
% 0.21/0.70  % SZS output end Proof for SYN036-1
% 0.21/0.70  % cvc5---1.0.5 exiting
% 0.21/0.71  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------