TSTP Solution File: GEO507+1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO507+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 : Wed Aug 30 22:51:37 EDT 2023

% Result   : Theorem 30.32s 30.51s
% Output   : Proof 30.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : GEO507+1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 22:53:01 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 30.32/30.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TZILh4B8VD/cvc5---1.0.5_4348.p...
% 30.32/30.51  ------- get file name : TPTP file name is GEO507+1
% 30.32/30.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4348.smt2...
% 30.32/30.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 30.32/30.51  --- Run --no-e-matching --full-saturate-quant at 5...
% 30.32/30.51  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 30.32/30.51  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 30.32/30.51  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.32/30.51  % SZS status Theorem for GEO507+1
% 30.32/30.51  % SZS output start Proof for GEO507+1
% 30.32/30.51  (
% 30.32/30.51  (let ((_let_1 (forall ((Xp $$unsorted) (Xq $$unsorted) (Xp1 $$unsorted) (Xq1 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.perp Xp Xq Xp1 Xq1))) (and (or (not _let_1) (tptp.perpAt Xp Xq (tptp.il Xp Xq Xp1 Xq1) Xp1 Xq1)) (or _let_1 (not (tptp.perpAt Xp Xq X Xp1 Xq1)))))))) (let ((_let_2 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted) (U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.g811 Y Z Y1 Z1 X))) (let ((_let_2 (tptp.f811 Y Z Y1 Z1 X))) (let ((_let_3 (tptp.s_col Y1 Z1 X))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.s_col Y Z X))) (let ((_let_6 (not _let_5))) (let ((_let_7 (= Y1 Z1))) (let ((_let_8 (= Y Z))) (let ((_let_9 (tptp.perpAt Y Z X Y1 Z1))) (let ((_let_10 (not _let_9))) (and (or _let_10 _let_5) (or _let_10 _let_3) (or _let_10 (not _let_8)) (or _let_10 (not _let_7)) (or _let_10 (not (tptp.s_col Y Z U)) (not (tptp.s_col Y1 Z1 V)) (tptp.s_r U X V)) (or _let_9 _let_8 _let_7 _let_6 _let_4 (tptp.s_col Y Z _let_2)) (or _let_9 _let_8 _let_7 _let_6 _let_4 (tptp.s_col Y1 Z1 _let_1)) (or _let_9 _let_8 _let_7 _let_6 _let_4 (not (tptp.s_r _let_2 X _let_1))))))))))))))))) (let ((_let_3 (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.s_m Xa Xm Xb))) (let ((_let_2 (tptp.s_e Xm Xa Xm Xb))) (let ((_let_3 (tptp.s_t Xa Xm Xb))) (let ((_let_4 (not _let_1))) (and (or _let_4 _let_3) (or _let_4 _let_2) (or (not _let_3) (not _let_2) _let_1))))))))) (let ((_let_4 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (let ((_let_1 (tptp.s_t Xc Xa Xb))) (let ((_let_2 (tptp.s_col Xa Xb Xc))) (let ((_let_3 (tptp.s_t Xb Xc Xa))) (let ((_let_4 (tptp.s_t Xa Xb Xc))) (and (or (not _let_2) _let_4 _let_3 _let_1) (or _let_2 (not _let_4)) (or _let_2 (not _let_3)) (or _let_2 (not _let_1)))))))))) (let ((_let_5 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (tptp.perp Xa Xb Xp Xq)) (not (tptp.s_col Xa Xb Xp)) (not (tptp.s_col Xa Xb Xq)))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xcx $$unsorted) (U $$unsorted) (V $$unsorted)) (or (= Xa Xb) (= Xp Xq) (not (tptp.s_col Xp Xq Xcx)) (not (tptp.s_col Xa Xb Xcx)) (not (tptp.s_col Xa Xb U)) (not (tptp.s_col Xp Xq V)) (= Xcx U) (= Xcx V) (not (tptp.s_r U Xcx V)) (tptp.perpAt Xa Xb Xcx Xp Xq))))) (let ((_let_8 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (let ((_let_1 (tptp.g813 Xa Xb Xp Xq Xc))) (let ((_let_2 (tptp.f813 Xa Xb Xp Xq Xc))) (let ((_let_3 (not (tptp.perpAt Xa Xb Xc Xp Xq)))) (and (or _let_3 (not (= Xa Xb))) (or _let_3 (not (= Xp Xq))) (or _let_3 (tptp.s_col Xp Xq Xc)) (or _let_3 (tptp.s_col Xa Xb Xc)) (or _let_3 (tptp.s_col Xa Xb _let_2)) (or _let_3 (tptp.s_col Xp Xq _let_1)) (or _let_3 (not (= Xc _let_2))) (or _let_3 (not (= Xc _let_1))) (or _let_3 (tptp.s_r _let_2 Xc _let_1))))))))) (let ((_let_9 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (tptp.perpAt Xa Xb Xc Xp Xq)) (tptp.perpAt Xp Xq Xc Xa Xb))))) (let ((_let_10 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_r Xa Xb Xc)) (not (tptp.s_col Xa Xb Xc)) (= Xa Xb) (= Xc Xb))))) (let ((_let_11 (forall ((Xa $$unsorted) (Xp $$unsorted)) (or (not (= (tptp.s Xa Xp) Xp)) (= Xp Xa))))) (let ((_let_12 (forall ((Xp $$unsorted) (Xa $$unsorted) (Xq $$unsorted)) (or (not (tptp.s_m Xp Xa Xq)) (= Xq (tptp.s Xa Xp)))))) (let ((_let_13 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted)) (or (= Xa Xb) (= Xp Xq) (not (tptp.s_col Xp Xq Xa)) (not (tptp.s_col Xp Xq Xb)) (not (tptp.s_col Xp Xq Xr)) (tptp.s_col Xa Xb Xr))))) (let ((_let_14 (forall ((Xp $$unsorted) (Xq $$unsorted) (Xcs $$unsorted) (Xr $$unsorted)) (or (= Xp Xq) (= Xcs Xp) (not (tptp.s_col Xp Xq Xcs)) (not (tptp.s_col Xp Xq Xr)) (tptp.s_col Xp Xcs Xr))))) (let ((_let_15 (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (not (tptp.sameside Xb Xp Xc)) (tptp.sameside Xa Xp Xc))))) (let ((_let_16 (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (tptp.sameside Xb Xp Xa))))) (let ((_let_17 (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (tptp.sameside Xa Xp Xb) (not (tptp.s_col Xa Xp Xb)) (tptp.s_t Xa Xp Xb))))) (let ((_let_18 (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (not (tptp.sameside Xa Xp Xb)))) (and (or _let_1 (tptp.s_col Xa Xp Xb)) (or _let_1 (not (tptp.s_t Xa Xp Xb)))))))) (let ((_let_19 (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.c63 Xa Xp Xb))) (let ((_let_2 (not (tptp.sameside Xa Xp Xb)))) (and (or _let_2 (not (= Xa Xp))) (or _let_2 (not (= Xb Xp))) (or _let_2 (not (= _let_1 Xp))) (or _let_2 (tptp.s_t Xa Xp _let_1)) (or _let_2 (tptp.s_t Xb Xp _let_1)))))))) (let ((_let_20 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xd)) (not (tptp.s_t Xa Xc Xd)) (tptp.s_t Xa Xb Xc) (tptp.s_t Xa Xc Xb))))) (let ((_let_21 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xa Xc Xb))))) (let ((_let_22 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xb Xa Xc))))) (let ((_let_23 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xc Xb Xa))))) (let ((_let_24 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xc Xa Xb))))) (let ((_let_25 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xb Xc Xa))))) (let ((_let_26 (forall ((Xa1 $$unsorted) (Xb1 $$unsorted)) (tptp.s_t Xa1 Xa1 Xb1)))) (let ((_let_27 (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_e Xa Xb Xa Xb)))) (let ((_let_28 (forall ((Xa $$unsorted) (Xp $$unsorted) (Xc $$unsorted) (Xb $$unsorted) (Xq $$unsorted)) (let ((_let_1 (tptp.ip Xa Xp Xc Xb Xq))) (let ((_let_2 (not (tptp.s_t Xb Xq Xc)))) (let ((_let_3 (not (tptp.s_t Xa Xp Xc)))) (and (or _let_3 _let_2 (tptp.s_t Xp _let_1 Xb)) (or _let_3 _let_2 (tptp.s_t Xq _let_1 Xa))))))))) (let ((_let_29 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.s_t X Y X)) (= X Y))))) (let ((_let_30 (tptp.il SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_31 (tptp.perpAt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (tptp.perpAt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (tptp.perpAt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_31))) (let ((_let_37 (_let_9))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (tptp.perp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_34))) (let ((_let_42 (forall ((BOUND_VARIABLE_4313 $$unsorted) (BOUND_VARIABLE_4315 $$unsorted) (BOUND_VARIABLE_4317 $$unsorted) (BOUND_VARIABLE_4319 $$unsorted)) (or (not (tptp.perp BOUND_VARIABLE_4313 BOUND_VARIABLE_4315 BOUND_VARIABLE_4317 BOUND_VARIABLE_4319)) (tptp.perpAt BOUND_VARIABLE_4313 BOUND_VARIABLE_4315 (tptp.il BOUND_VARIABLE_4313 BOUND_VARIABLE_4315 BOUND_VARIABLE_4317 BOUND_VARIABLE_4319) BOUND_VARIABLE_4317 BOUND_VARIABLE_4319))))) (let ((_let_43 (0))) (let ((_let_44 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args _let_43))) (let ((_let_45 (_let_42))) (let ((_let_46 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_45) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.perp BOUND_VARIABLE_4313 BOUND_VARIABLE_4315 BOUND_VARIABLE_4317 BOUND_VARIABLE_4319) false))))) :args _let_45)))) (let ((_let_47 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_40 _let_50 _let_48))) (let ((_let_52 (not _let_51))) (let ((_let_53 (_let_6))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (or))) (let ((_let_56 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_54) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args (_let_52)) :args _let_55)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST _let_56 _let_54 :args (_let_52 true _let_5)))) (let ((_let_58 (REFL :args (_let_51)))) (let ((_let_59 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 0)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_55)) :args ((or _let_39 _let_51))))) (let ((_let_60 (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_34 (not _let_41)))))) (let ((_let_61 (MACRO_RESOLUTION_TRUST _let_60 (MACRO_RESOLUTION_TRUST _let_59 _let_57 :args (_let_39 true _let_51)) (MACRO_RESOLUTION_TRUST _let_46 _let_44 :args (_let_41 false _let_42)) :args (_let_34 false _let_39 false _let_41)))) (let ((_let_62 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_63 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_64 (or _let_63 _let_32 _let_48 _let_50 _let_48 _let_62))) (let ((_let_65 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30))) (let ((_let_66 (tptp.f813 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_30))) (let ((_let_67 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_66))) (let ((_let_68 (= _let_30 _let_66))) (let ((_let_69 (tptp.g813 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_30))) (let ((_let_70 (tptp.s_col _let_66 _let_30 _let_69))) (let ((_let_71 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_69))) (let ((_let_72 (not _let_71))) (let ((_let_73 (not _let_65))) (let ((_let_74 (not _let_67))) (let ((_let_75 (or _let_68 _let_32 _let_74 _let_73 _let_72 _let_70))) (let ((_let_76 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_77 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_78 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_79 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_80 (not _let_78))) (let ((_let_81 (not _let_77))) (let ((_let_82 (or _let_32 _let_76 _let_80 _let_81 _let_80 _let_79))) (let ((_let_83 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_84 (not _let_79))) (let ((_let_85 (or _let_63 _let_32 _let_48 _let_50 _let_84 _let_83))) (let ((_let_86 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_87 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_88 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_69))) (let ((_let_89 (not _let_88))) (let ((_let_90 (not _let_87))) (let ((_let_91 (or _let_86 _let_32 _let_90 _let_89 _let_71))) (let ((_let_92 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_69))) (let ((_let_93 (not _let_92))) (let ((_let_94 (not _let_62))) (let ((_let_95 (not _let_83))) (let ((_let_96 (or _let_86 _let_63 _let_95 _let_94 _let_93 _let_88))) (let ((_let_97 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_55)) :args ((or _let_49 _let_51))))) (let ((_let_98 (MACRO_RESOLUTION_TRUST _let_97 _let_57 :args (_let_49 true _let_51)))) (let ((_let_99 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 2)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_55)) :args ((or _let_47 _let_51))))) (let ((_let_100 (MACRO_RESOLUTION_TRUST _let_99 _let_57 :args (_let_47 true _let_51)))) (let ((_let_101 (_let_13))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 ((not (= (tptp.s_col Xp Xq Xa) false)) (not (= (tptp.s_col Xp Xq Xb) false)) (not (= (tptp.s_col Xp Xq Xr) false))))) (let ((_let_104 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_101))))) (let ((_let_105 (MACRO_RESOLUTION_TRUST _let_104 _let_102 :args (_let_64 false _let_13)))) (let ((_let_106 (tptp.perpAt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_107 (not _let_63))) (let ((_let_108 (forall ((BOUND_VARIABLE_2977 $$unsorted) (BOUND_VARIABLE_2979 $$unsorted) (BOUND_VARIABLE_2981 $$unsorted) (BOUND_VARIABLE_2985 $$unsorted)) (not (tptp.perpAt BOUND_VARIABLE_2977 BOUND_VARIABLE_2979 BOUND_VARIABLE_2981 BOUND_VARIABLE_2985 BOUND_VARIABLE_2985))))) (let ((_let_109 (not _let_106))) (let ((_let_110 (1))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (AND_ELIM _let_111 :args _let_110))) (let ((_let_113 (_let_108))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_113)) _let_112 :args (_let_109 false _let_108)))) (let ((_let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_106))))) (let ((_let_117 (REFL :args (_let_35)))) (let ((_let_118 (REFL :args (_let_107)))) (let ((_let_119 (ASSUME :args (_let_109)))) (let ((_let_120 (FALSE_INTRO _let_119))) (let ((_let_121 (APPLY_UF tptp.perpAt))) (let ((_let_122 (ASSUME :args (_let_63)))) (let ((_let_123 (SYMM _let_122))) (let ((_let_124 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_125 (REFL :args (_let_30)))) (let ((_let_126 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_127 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_128 (ASSUME :args (_let_34)))) (let ((_let_129 (TRUE_INTRO _let_128))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_119 _let_122 _let_128) :args (_let_63 _let_34 _let_109)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_130 (CONG _let_127 _let_126 _let_125 _let_124 _let_123 :args _let_121) _let_120)) :args (_let_109 _let_63 _let_34)) :args ((not (and _let_63 _let_34 _let_109)) SB_LITERAL))) (CONG _let_118 _let_117 _let_116 :args _let_55)) _let_115 _let_61 :args (_let_107 true _let_106 false _let_34)))) (let ((_let_132 (REORDERING (FACTORING (CNF_OR_POS :args (_let_64))) :args ((or _let_50 _let_48 _let_32 _let_63 _let_62 (not _let_64)))))) (let ((_let_133 (or _let_35 _let_65))) (let ((_let_134 (forall ((BOUND_VARIABLE_3010 $$unsorted) (BOUND_VARIABLE_3012 $$unsorted) (BOUND_VARIABLE_3014 $$unsorted) (BOUND_VARIABLE_3016 $$unsorted) (BOUND_VARIABLE_3018 $$unsorted)) (or (not (tptp.perpAt BOUND_VARIABLE_3010 BOUND_VARIABLE_3012 BOUND_VARIABLE_3014 BOUND_VARIABLE_3016 BOUND_VARIABLE_3018)) (tptp.s_col BOUND_VARIABLE_3010 BOUND_VARIABLE_3012 BOUND_VARIABLE_3014))))) (let ((_let_135 (3))) (let ((_let_136 (AND_ELIM _let_111 :args _let_135))) (let ((_let_137 (_let_134))) (let ((_let_138 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_137) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.perpAt BOUND_VARIABLE_3010 BOUND_VARIABLE_3012 BOUND_VARIABLE_3014 BOUND_VARIABLE_3016 BOUND_VARIABLE_3018) false))))) :args _let_137)))) (let ((_let_139 (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_35 _let_65 (not _let_133)))))) (let ((_let_140 (MACRO_RESOLUTION_TRUST _let_139 _let_61 (MACRO_RESOLUTION_TRUST _let_138 _let_136 :args (_let_133 false _let_134)) :args (_let_65 false _let_34 false _let_133)))) (let ((_let_141 (or _let_35 _let_67))) (let ((_let_142 (forall ((BOUND_VARIABLE_3026 $$unsorted) (BOUND_VARIABLE_3028 $$unsorted) (BOUND_VARIABLE_3030 $$unsorted) (BOUND_VARIABLE_3032 $$unsorted) (BOUND_VARIABLE_3034 $$unsorted)) (or (not (tptp.perpAt BOUND_VARIABLE_3026 BOUND_VARIABLE_3028 BOUND_VARIABLE_3030 BOUND_VARIABLE_3032 BOUND_VARIABLE_3034)) (tptp.s_col BOUND_VARIABLE_3026 BOUND_VARIABLE_3028 (tptp.f813 BOUND_VARIABLE_3026 BOUND_VARIABLE_3028 BOUND_VARIABLE_3032 BOUND_VARIABLE_3034 BOUND_VARIABLE_3030)))))) (let ((_let_143 (4))) (let ((_let_144 (AND_ELIM _let_111 :args _let_143))) (let ((_let_145 (_let_142))) (let ((_let_146 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_145) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.perpAt BOUND_VARIABLE_3026 BOUND_VARIABLE_3028 BOUND_VARIABLE_3030 BOUND_VARIABLE_3032 BOUND_VARIABLE_3034) false))))) :args _let_145)))) (let ((_let_147 (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_35 _let_67 (not _let_141)))))) (let ((_let_148 (MACRO_RESOLUTION_TRUST _let_147 _let_61 (MACRO_RESOLUTION_TRUST _let_146 _let_144 :args (_let_141 false _let_142)) :args (_let_67 false _let_34 false _let_141)))) (let ((_let_149 (not _let_68))) (let ((_let_150 (or _let_35 _let_149))) (let ((_let_151 (forall ((BOUND_VARIABLE_3062 $$unsorted) (BOUND_VARIABLE_3064 $$unsorted) (BOUND_VARIABLE_3066 $$unsorted) (BOUND_VARIABLE_3068 $$unsorted) (BOUND_VARIABLE_3070 $$unsorted)) (or (not (tptp.perpAt BOUND_VARIABLE_3062 BOUND_VARIABLE_3064 BOUND_VARIABLE_3066 BOUND_VARIABLE_3068 BOUND_VARIABLE_3070)) (not (= BOUND_VARIABLE_3066 (tptp.f813 BOUND_VARIABLE_3062 BOUND_VARIABLE_3064 BOUND_VARIABLE_3068 BOUND_VARIABLE_3070 BOUND_VARIABLE_3066))))))) (let ((_let_152 (AND_ELIM _let_111 :args (6)))) (let ((_let_153 (_let_151))) (let ((_let_154 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_153) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.perpAt BOUND_VARIABLE_3062 BOUND_VARIABLE_3064 BOUND_VARIABLE_3066 BOUND_VARIABLE_3068 BOUND_VARIABLE_3070) false))))) :args _let_153)))) (let ((_let_155 (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_35 _let_149 (not _let_150)))))) (let ((_let_156 (MACRO_RESOLUTION_TRUST _let_155 _let_61 (MACRO_RESOLUTION_TRUST _let_154 _let_152 :args (_let_150 false _let_151)) :args (_let_149 false _let_34 false _let_150)))) (let ((_let_157 (= _let_30 _let_69))) (let ((_let_158 (not _let_70))) (let ((_let_159 (tptp.s_r _let_66 _let_30 _let_69))) (let ((_let_160 (not _let_159))) (let ((_let_161 (or _let_160 _let_158 _let_68 _let_157))) (let ((_let_162 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_r Xa Xb Xc)) (not (tptp.s_col Xa Xb Xc)) (= Xa Xb) (= Xb Xc))))) (let ((_let_163 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_164 (_let_162))) (let ((_let_165 ((not (= (tptp.s_r Xa Xb Xc) false))))) (let ((_let_166 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_66 _let_30 _let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_165)) :args _let_164))))) (let ((_let_167 (or _let_35 _let_159))) (let ((_let_168 (forall ((BOUND_VARIABLE_3100 $$unsorted) (BOUND_VARIABLE_3102 $$unsorted) (BOUND_VARIABLE_3104 $$unsorted) (BOUND_VARIABLE_3106 $$unsorted) (BOUND_VARIABLE_3108 $$unsorted)) (or (not (tptp.perpAt BOUND_VARIABLE_3100 BOUND_VARIABLE_3102 BOUND_VARIABLE_3104 BOUND_VARIABLE_3106 BOUND_VARIABLE_3108)) (tptp.s_r (tptp.f813 BOUND_VARIABLE_3100 BOUND_VARIABLE_3102 BOUND_VARIABLE_3106 BOUND_VARIABLE_3108 BOUND_VARIABLE_3104) BOUND_VARIABLE_3104 (tptp.g813 BOUND_VARIABLE_3100 BOUND_VARIABLE_3102 BOUND_VARIABLE_3106 BOUND_VARIABLE_3108 BOUND_VARIABLE_3104)))))) (let ((_let_169 (AND_ELIM _let_111 :args (8)))) (let ((_let_170 (_let_168))) (let ((_let_171 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_170) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.perpAt BOUND_VARIABLE_3100 BOUND_VARIABLE_3102 BOUND_VARIABLE_3104 BOUND_VARIABLE_3106 BOUND_VARIABLE_3108) false))))) :args _let_170)))) (let ((_let_172 (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_35 _let_159 (not _let_167)))))) (let ((_let_173 (not _let_157))) (let ((_let_174 (or _let_35 _let_173))) (let ((_let_175 (forall ((BOUND_VARIABLE_3081 $$unsorted) (BOUND_VARIABLE_3083 $$unsorted) (BOUND_VARIABLE_3085 $$unsorted) (BOUND_VARIABLE_3087 $$unsorted) (BOUND_VARIABLE_3089 $$unsorted)) (or (not (tptp.perpAt BOUND_VARIABLE_3081 BOUND_VARIABLE_3083 BOUND_VARIABLE_3085 BOUND_VARIABLE_3087 BOUND_VARIABLE_3089)) (not (= BOUND_VARIABLE_3085 (tptp.g813 BOUND_VARIABLE_3081 BOUND_VARIABLE_3083 BOUND_VARIABLE_3087 BOUND_VARIABLE_3089 BOUND_VARIABLE_3085))))))) (let ((_let_176 (AND_ELIM _let_111 :args (7)))) (let ((_let_177 (_let_175))) (let ((_let_178 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_177) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.perpAt BOUND_VARIABLE_3081 BOUND_VARIABLE_3083 BOUND_VARIABLE_3085 BOUND_VARIABLE_3087 BOUND_VARIABLE_3089) false))))) :args _let_177)))) (let ((_let_179 (REORDERING (CNF_OR_POS :args (_let_174)) :args ((or _let_35 _let_173 (not _let_174)))))) (let ((_let_180 (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_68 _let_157 _let_160 _let_158 (not _let_161)))))) (let ((_let_181 (MACRO_RESOLUTION_TRUST _let_180 _let_156 (MACRO_RESOLUTION_TRUST _let_179 _let_61 (MACRO_RESOLUTION_TRUST _let_178 _let_176 :args (_let_174 false _let_175)) :args (_let_173 false _let_34 false _let_174)) (MACRO_RESOLUTION_TRUST _let_172 _let_61 (MACRO_RESOLUTION_TRUST _let_171 _let_169 :args (_let_167 false _let_168)) :args (_let_159 false _let_34 false _let_167)) (MACRO_RESOLUTION_TRUST _let_166 _let_163 :args (_let_161 false _let_162)) :args (_let_158 true _let_68 true _let_157 false _let_159 false _let_161)))) (let ((_let_182 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_66 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_69 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101))))) (let ((_let_183 (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_32 _let_68 _let_73 _let_74 _let_70 _let_72 (not _let_75)))))) (let ((_let_184 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_185 (or _let_63 _let_32 _let_48 _let_50 _let_50 _let_184))) (let ((_let_186 (not _let_76))) (let ((_let_187 (not _let_86))) (let ((_let_188 (REFL :args (_let_187)))) (let ((_let_189 (_let_186))) (let ((_let_190 (REFL :args _let_189))) (let ((_let_191 (ASSUME :args (_let_76)))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (SYMM _let_192))) (let ((_let_194 (ASSUME :args (_let_86)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (EQ_RESOLVE 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(_let_197 false _let_21)) :args (_let_87 false _let_47 false _let_197)))) (let ((_let_202 (forall ((Xp $$unsorted) (Xq $$unsorted) (Xcs $$unsorted) (Xr $$unsorted)) (or (= Xp Xq) (= Xp Xcs) (not (tptp.s_col Xp Xq Xcs)) (not (tptp.s_col Xp Xq Xr)) (tptp.s_col Xp Xcs Xr))))) (let ((_let_203 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_204 (_let_202))) (let ((_let_205 ((not (= (tptp.s_col Xp Xq Xcs) false)) (not (= (tptp.s_col Xp Xq Xr) false))))) (let ((_let_206 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_69 QUANTIFIERS_INST_E_MATCHING _let_205)) :args _let_204)) _let_203 :args (_let_91 false _let_202)))) (let ((_let_207 (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_32 _let_86 _let_90 _let_89 _let_71 (not _let_91)))))) (let ((_let_208 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_69))) (let ((_let_209 (not _let_208))) (let ((_let_210 (or _let_209 _let_92))) (let ((_let_211 (_let_22))) (let ((_let_212 (ASSUME :args _let_211))) (let ((_let_213 ((not (= (tptp.s_col Xa Xb Xc) false))))) (let ((_let_214 (or _let_35 _let_208))) (let ((_let_215 (forall ((BOUND_VARIABLE_3044 $$unsorted) (BOUND_VARIABLE_3046 $$unsorted) (BOUND_VARIABLE_3048 $$unsorted) (BOUND_VARIABLE_3050 $$unsorted) (BOUND_VARIABLE_3052 $$unsorted)) (or (not (tptp.perpAt BOUND_VARIABLE_3044 BOUND_VARIABLE_3046 BOUND_VARIABLE_3048 BOUND_VARIABLE_3050 BOUND_VARIABLE_3052)) (tptp.s_col BOUND_VARIABLE_3050 BOUND_VARIABLE_3052 (tptp.g813 BOUND_VARIABLE_3044 BOUND_VARIABLE_3046 BOUND_VARIABLE_3050 BOUND_VARIABLE_3052 BOUND_VARIABLE_3048)))))) (let ((_let_216 (_let_215))) (let ((_let_217 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_210)) :args ((or _let_209 _let_92 (not _let_210)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_214)) :args ((or _let_35 _let_208 (not _let_214)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_216) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.perpAt BOUND_VARIABLE_3044 BOUND_VARIABLE_3046 BOUND_VARIABLE_3048 BOUND_VARIABLE_3050 BOUND_VARIABLE_3052) false))))) :args _let_216)) (AND_ELIM _let_111 :args (5)) :args (_let_214 false _let_215)) :args (_let_208 false _let_34 false _let_214)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_213)) :args _let_211)) _let_212 :args (_let_210 false _let_22)) :args (_let_92 false _let_208 false _let_210)))) (let ((_let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_69 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101))) _let_102 :args (_let_96 false _let_13)))) (let ((_let_219 (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_86 _let_63 _let_94 _let_95 _let_88 _let_93 (not _let_96)))))) (let ((_let_220 (and _let_76 _let_184))) (let ((_let_221 (ASSUME :args (_let_184)))) (let ((_let_222 (APPLY_UF tptp.s_col))) (let ((_let_223 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_224 (or _let_50 _let_77))) (let ((_let_225 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_224)) :args ((or _let_50 _let_77 (not _let_224)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_200)) :args _let_198)) _let_199 :args (_let_224 false _let_21)) :args (_let_77 false _let_49 false _let_224)))) (let ((_let_226 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_227 (not _let_226))) (let ((_let_228 (or _let_78 _let_227))) (let ((_let_229 (forall ((BOUND_VARIABLE_3587 $$unsorted) (BOUND_VARIABLE_3589 $$unsorted) (BOUND_VARIABLE_3591 $$unsorted)) (or (tptp.s_col BOUND_VARIABLE_3587 BOUND_VARIABLE_3589 BOUND_VARIABLE_3591) (not (tptp.s_t BOUND_VARIABLE_3591 BOUND_VARIABLE_3587 BOUND_VARIABLE_3589)))))) (let ((_let_230 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_231 (_let_229))) (let ((_let_232 (_let_26))) (let ((_let_233 (ASSUME :args _let_232))) (let ((_let_234 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_232)) _let_233 :args (_let_226 false _let_26)))) (let ((_let_235 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_228)) :args ((or _let_227 _let_78 (not _let_228)))) _let_234 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_231) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.s_t BOUND_VARIABLE_3591 BOUND_VARIABLE_3587 BOUND_VARIABLE_3589) false))))) :args _let_231)) (AND_ELIM _let_230 :args _let_135) :args (_let_228 false _let_229)) :args (_let_78 false _let_226 false _let_228)))) (let ((_let_236 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101)) _let_102 :args (_let_82 false _let_13)))) (let ((_let_237 (REORDERING (FACTORING (CNF_OR_POS :args (_let_82))) :args ((or _let_32 _let_76 _let_81 _let_79 _let_80 (not _let_82)))))) (let ((_let_238 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101))) _let_102 :args (_let_85 false _let_13)))) (let ((_let_239 (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_50 _let_48 _let_32 _let_63 _let_84 _let_83 (not _let_85)))))) (let ((_let_240 (tptp.sameside SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_241 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_242 (or _let_240 _let_48 _let_241))) (let ((_let_243 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_244 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_245 (tptp.s_m SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_246 (not _let_244))) (let ((_let_247 (not _let_243))) (let ((_let_248 (or _let_247 _let_246 _let_245))) (let ((_let_249 (tptp.s_m SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_250 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_251 (not _let_249))) (let ((_let_252 (or _let_251 _let_250))) (let ((_let_253 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_254 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_255 (not _let_253))) (let ((_let_256 (or _let_255 _let_254))) (let ((_let_257 (tptp.ip SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_258 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_257))) (let ((_let_259 (tptp.c63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_260 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_259))) (let ((_let_261 (not _let_240))) (let ((_let_262 (or _let_261 _let_260))) (let ((_let_263 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_259))) (let ((_let_264 (or _let_261 _let_263))) (let ((_let_265 (tptp.sameside SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_266 (or _let_261 _let_265))) (let ((_let_267 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_268 (not _let_260))) (let ((_let_269 (or _let_268 _let_268 _let_267 _let_267))) (let ((_let_270 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_271 (not _let_263))) (let ((_let_272 (or _let_271 _let_271 _let_270 _let_270))) (let ((_let_273 (tptp.sameside SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_274 (not _let_265))) (let ((_let_275 (or _let_274 _let_261 _let_273))) (let ((_let_276 (not _let_267))) (let ((_let_277 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_278 (or _let_277 _let_276))) (let ((_let_279 (not _let_270))) (let ((_let_280 (tptp.sameside SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_281 (not _let_280))) (let ((_let_282 (or _let_281 _let_279))) (let ((_let_283 (tptp.s_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_284 (not _let_283))) (let ((_let_285 (or _let_284 _let_48 _let_32 _let_254))) (let ((_let_286 (forall ((BOUND_VARIABLE_2758 $$unsorted) (BOUND_VARIABLE_2760 $$unsorted) (BOUND_VARIABLE_2762 $$unsorted)) (or (not (tptp.sameside BOUND_VARIABLE_2758 BOUND_VARIABLE_2760 BOUND_VARIABLE_2762)) (tptp.s_t BOUND_VARIABLE_2758 BOUND_VARIABLE_2760 (tptp.c63 BOUND_VARIABLE_2758 BOUND_VARIABLE_2760 BOUND_VARIABLE_2762)))))) (let ((_let_287 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_288 (_let_286))) (let ((_let_289 (forall ((BOUND_VARIABLE_2772 $$unsorted) (BOUND_VARIABLE_2774 $$unsorted) (BOUND_VARIABLE_2776 $$unsorted)) (or (not (tptp.sameside BOUND_VARIABLE_2772 BOUND_VARIABLE_2774 BOUND_VARIABLE_2776)) (tptp.s_t BOUND_VARIABLE_2776 BOUND_VARIABLE_2774 (tptp.c63 BOUND_VARIABLE_2772 BOUND_VARIABLE_2774 BOUND_VARIABLE_2776)))))) (let ((_let_290 (_let_289))) (let ((_let_291 (_let_16))) (let ((_let_292 (ASSUME :args _let_291))) (let ((_let_293 (_let_20))) (let ((_let_294 (ASSUME :args _let_293))) (let ((_let_295 (_let_15))) (let ((_let_296 (ASSUME :args _let_295))) (let ((_let_297 (forall ((BOUND_VARIABLE_3575 $$unsorted) (BOUND_VARIABLE_3577 $$unsorted) (BOUND_VARIABLE_3579 $$unsorted)) (or (tptp.s_col BOUND_VARIABLE_3575 BOUND_VARIABLE_3577 BOUND_VARIABLE_3579) (not (tptp.s_t BOUND_VARIABLE_3577 BOUND_VARIABLE_3579 BOUND_VARIABLE_3575)))))) (let ((_let_298 (2))) (let ((_let_299 (AND_ELIM _let_230 :args _let_298))) (let ((_let_300 (_let_297))) (let ((_let_301 ((not (= (tptp.s_t BOUND_VARIABLE_3577 BOUND_VARIABLE_3579 BOUND_VARIABLE_3575) false))))) (let ((_let_302 (ASSUME :args _let_300))) (let ((_let_303 (forall ((BOUND_VARIABLE_2823 $$unsorted) (BOUND_VARIABLE_2825 $$unsorted) (BOUND_VARIABLE_2827 $$unsorted)) (or (not (tptp.sameside BOUND_VARIABLE_2823 BOUND_VARIABLE_2825 BOUND_VARIABLE_2827)) (not (tptp.s_t BOUND_VARIABLE_2823 BOUND_VARIABLE_2825 BOUND_VARIABLE_2827)))))) (let ((_let_304 (_let_303))) (let ((_let_305 (not _let_254))) (let ((_let_306 (REFL :args (_let_305)))) (let ((_let_307 (ASSUME :args (_let_281)))) (let ((_let_308 (ASSUME :args (_let_254)))) (let ((_let_309 (SYMM _let_308))) (let ((_let_310 (ASSUME :args (_let_273)))) (let ((_let_311 ((not (= (tptp.s_col Xa Xb Xc) false))))) (let ((_let_312 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_311)) :args _let_164)))) (let ((_let_313 (REORDERING (CNF_OR_POS :args (_let_285)) :args ((or _let_48 _let_32 _let_284 _let_254 (not _let_285)))))) (let ((_let_314 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_315 (not _let_314))) (let ((_let_316 (tptp.s_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_317 (not _let_316))) (let ((_let_318 (or _let_317 _let_315 _let_254 _let_32))) (let ((_let_319 (or _let_48 _let_314))) (let ((_let_320 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_321 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_322 (tptp.s_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_323 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_324 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_325 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_326 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_327 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_328 (tptp.perpAt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_329 (not _let_328))) (let ((_let_330 (or _let_329 _let_48 _let_94 _let_322))) (let ((_let_331 (not _let_323))) (let ((_let_332 (tptp.s_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_333 (not _let_332))) (let ((_let_334 (or _let_333 _let_331 _let_254 _let_254))) (let ((_let_335 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_336 (or _let_331 _let_335))) (let ((_let_337 (tptp.s_r _let_66 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_338 (not _let_325))) (let ((_let_339 (or _let_35 _let_74 _let_338 _let_337))) (let ((_let_340 (tptp.s_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_341 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_342 (not _let_321))) (let ((_let_343 (not _let_341))) (let ((_let_344 (tptp.perpAt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_345 (not _let_344))) (let ((_let_346 (or _let_345 _let_343 _let_342 _let_340))) (let ((_let_347 (tptp.perpAt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_348 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_30))) (let ((_let_349 (tptp.perpAt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_350 (not _let_337))) (let ((_let_351 (tptp.s_col SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_30))) (let ((_let_352 (not _let_351))) (let ((_let_353 (or _let_32 _let_63 _let_352 _let_73 _let_74 _let_94 _let_68 _let_348 _let_350 _let_349))) (let ((_let_354 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30))) (let ((_let_355 (= 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((or _let_422 _let_258 (not _let_423)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_426))) :args ((or _let_227 _let_421 (not _let_426)))) _let_234 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_428) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.s_t BOUND_VARIABLE_2518 BOUND_VARIABLE_2520 BOUND_VARIABLE_2522) false)) (not (= (tptp.s_t BOUND_VARIABLE_2524 BOUND_VARIABLE_2526 BOUND_VARIABLE_2522) false))))) :args _let_428)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args _let_43) :args (_let_426 false _let_427)) :args (_let_421 false _let_226 false _let_426)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_425 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_257 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false _let_96 true _let_63 false _let_92 true _let_88 false _let_91 false _let_87 true _let_86 false _let_83 false _let_85 true _let_63 false _let_47 false _let_49 false _let_79 false _let_82 false _let_78 false _let_77 true _let_76 true _let_71 false _let_75 true _let_70 true _let_68 false _let_67 false _let_65 false _let_62 true _let_63 false _let_64 false _let_47 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_31 (not _let_36)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.perpAt Xa Xb Xc Xp Xq) false))))) :args _let_37)) _let_38 :args (_let_36 false _let_9)) :args (_let_31 false _let_34 false _let_36)) :args (false true _let_33 false _let_32 false _let_31)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (tptp.s_e X Y Y X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (Z2 $$unsorted) (V2 $$unsorted)) (or (not (tptp.s_e X Y Z V)) (not (tptp.s_e X Y Z2 V2)) (tptp.s_e Z V Z2 V2))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.s_e X Y Z Z)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.ext X Y W V))) (and (tptp.s_t X Y _let_1) (tptp.s_e Y _let_1 W V)))) (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.s_e X Y X1 Y1)) (not (tptp.s_e Y Z Y1 Z1)) (not (tptp.s_e X V X1 V1)) (not (tptp.s_e Y V Y1 V1)) (not (tptp.s_t X Y Z)) (not (tptp.s_t X1 Y1 Z1)) (= X Y) (tptp.s_e Z V Z1 V1))) _let_29 _let_28 (and (not (tptp.s_t tptp.alpha tptp.beta tptp.gamma)) (not (tptp.s_t tptp.beta tptp.gamma tptp.alpha)) (not (tptp.s_t tptp.gamma tptp.alpha tptp.beta))) _let_27 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xc Xd Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (not (tptp.s_e Xc Xd Xe Xf)) (tptp.s_e Xa Xb Xe Xf))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xb Xa Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xa Xb Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_e Xa Xa Xb Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa1 Xb1 Xc1)) (not (tptp.s_e Xa Xb Xa1 Xb1)) (not (tptp.s_e Xb Xc Xb1 Xc1)) (tptp.s_e Xa Xc Xa1 Xc1))) (forall ((Xq $$unsorted) (Xa $$unsorted) (Xd $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xq Xa) (not (tptp.s_t Xq Xa Xd)) (not (tptp.s_e Xa Xd Xb Xc)) (= Xd (tptp.ext Xq Xa Xb Xc)))) (forall ((Xb $$unsorted) (Xc $$unsorted) (Xa $$unsorted)) (or (not (tptp.s_e Xb Xc Xa Xa)) (= Xb Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xb Xa Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (XA $$unsorted) (XB $$unsorted) (XC $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t XA XB XC)) (not (tptp.s_e Xa Xb XB XC)) (not (tptp.s_e Xb Xc XA XB)) (tptp.s_e Xa Xc XA XC))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_t Xa Xb Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (tptp.s_t Xc Xb Xa))) _let_26 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xa Xc)) (= Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xd)) (not (tptp.s_t Xb Xc Xd)) (tptp.s_t Xa Xb Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xc Xd)) (tptp.s_t Xb Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xc Xd)) (= Xb Xc) (tptp.s_t Xa Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xd)) (not (tptp.s_t Xb Xc Xd)) (tptp.s_t Xa Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xc Xd)) (tptp.s_t Xa Xb Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xc Xd)) (= Xb Xc) (tptp.s_t Xa Xb Xd))) (not (= tptp.alpha tptp.beta)) (not (= tptp.beta tptp.gamma)) (not (= tptp.alpha tptp.gamma)) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_t Xa Xb (tptp.ext Xa Xb tptp.alpha tptp.gamma))) (forall ((Xb $$unsorted) (Xa $$unsorted)) (not (= Xb (tptp.ext Xa Xb tptp.alpha tptp.gamma)))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xp $$unsorted)) (let ((_let_1 (tptp.crossbar Xa Xb Xc Xa1 Xb1 Xp))) (let ((_let_2 (not (tptp.s_t Xa Xp Xa1)))) (let ((_let_3 (not (tptp.s_t Xa1 Xb1 Xc)))) (let ((_let_4 (not (tptp.s_t Xa Xb Xc)))) (and (or _let_4 _let_3 _let_2 (tptp.s_t Xp _let_1 Xc)) (or _let_4 _let_3 _let_2 (tptp.s_t Xb _let_1 Xb1)))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (tptp.s_ifs Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1)) (tptp.s_e Xb Xd Xb1 Xd1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa1 Xb1 Xc1)) (not (tptp.s_e Xa Xc Xa1 Xc1)) (not (tptp.s_e Xb Xc Xb1 Xc1)) (tptp.s_e Xa Xb Xa1 Xb1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xc1 $$unsorted)) (let ((_let_1 (tptp.insert Xa Xb Xa1 Xc1))) (let ((_let_2 (not (tptp.s_e Xa Xc Xa1 Xc1)))) (let ((_let_3 (not (tptp.s_t Xa Xb Xc)))) (and (or _let_3 _let_2 (tptp.s_t Xa1 _let_1 Xc1)) (or _let_3 _let_2 (tptp.s_e3 Xa Xb Xc Xa1 _let_1 Xc1))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (tptp.s_t Xa1 Xb1 Xc1))) _let_25 _let_24 _let_23 _let_22 _let_21 (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_col Xa Xa Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_col Xa Xb Xa)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (tptp.s_col Xa1 Xb1 Xc1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e Xa Xb Xa1 Xb1)) (tptp.s_e3 Xa Xb Xc Xa1 Xb1 (tptp.insert5 Xa Xb Xc Xa1 Xb1)))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (tptp.s_fs Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1)) (= Xa Xb) (tptp.s_e Xc Xd Xc1 Xd1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (= Xa Xb) (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e Xa Xp Xa Xq)) (not (tptp.s_e Xb Xp Xb Xq)) (tptp.s_e Xc Xp Xc Xq))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xc1 $$unsorted)) (or (= Xa Xb) (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e Xa Xc Xa Xc1)) (not (tptp.s_e Xb Xc Xb Xc1)) (= Xc Xc1))) (forall ((Xa $$unsorted) (Xc $$unsorted) (Xb $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xc Xb)) (not (tptp.s_e Xa Xc Xa Xc1)) (not (tptp.s_e Xb Xc Xb Xc1)) (= Xc Xc1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xb Xd)) (tptp.s_t Xa Xc Xd) (tptp.s_t Xa Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xb Xd)) (tptp.s_t Xb Xc Xd) (tptp.s_t Xb Xd Xc))) _let_20 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (let ((_let_1 (tptp.ins Xc Xd Xa Xb))) (let ((_let_2 (not (tptp.le Xa Xb Xc Xd)))) (and (or _let_2 (tptp.s_t Xa Xb _let_1)) (or _let_2 (tptp.s_e Xa _let_1 Xc Xd)) (or _let_2 (= _let_1 (tptp.ext Xa Xb (tptp.insert Xa Xb Xc Xd) Xd))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted)) (or (tptp.le Xa Xb Xc Xd) (not (tptp.s_t Xa Xb Xe)) (not (tptp.s_e Xa Xe Xc Xd)))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (tptp.le Xa Xb Xc Xd)) (not (tptp.s_e Xa Xb Xa1 Xb1)) (not (tptp.s_e Xc Xd Xc1 Xd1)) (tptp.le Xa1 Xb1 Xc1 Xd1))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.le Xa Xb Xa Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (tptp.le Xa Xb Xc Xd)) (not (tptp.le Xc Xd Xe Xf)) (tptp.le Xa Xb Xe Xf))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.le Xa Xb Xc Xd)) (not (tptp.le Xc Xd Xa Xb)) (tptp.s_e Xa Xb Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (tptp.le Xa Xb Xc Xd) (tptp.le Xc Xd Xa Xb))) (forall ((Xa $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (tptp.le Xa Xa Xc Xd)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_t Xa Xb Xc)) (tptp.le Xa Xb Xa Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_t Xa Xb Xc)) (tptp.le Xb Xc Xa Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_e Xa Xc Xa Xb)) (= Xc Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_t Xa Xb Xc) (not (tptp.le Xa Xb Xa Xc)) (not (tptp.le Xb Xc Xa Xc)))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xa Xp) (= Xb Xp) (= Xc Xp) (not (tptp.s_t Xa Xp Xc)) (not (tptp.s_t Xb Xp Xc)) (tptp.sameside Xa Xp Xb))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xa Xp) (= Xb Xp) (= Xc Xp) (not (tptp.s_t Xa Xp Xc)) (tptp.s_t Xb Xp Xc) (not (tptp.sameside Xa Xp Xb)))) _let_19 (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (tptp.sameside Xa Xp Xb) (= Xa Xp) (= Xb Xp) (= Xc Xp) (not (tptp.s_t Xa Xp Xc)) (not (tptp.s_t Xb Xp Xc)))) _let_18 _let_17 (forall ((Xa $$unsorted) (Xp $$unsorted)) (or (= Xa Xp) (tptp.sameside Xa Xp Xa))) _let_16 _let_15 (forall ((Xr $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (let ((_let_1 (tptp.insert Xb Xc Xa Xr))) (let ((_let_2 (= Xb Xc))) (let ((_let_3 (= Xr Xa))) (and (or _let_3 _let_2 (tptp.sameside _let_1 Xa Xr)) (or _let_3 _let_2 (tptp.s_e Xa _let_1 Xb Xc))))))) (forall ((Xr $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (= Xr Xa) (= Xb Xc) (not (tptp.sameside Xp Xa Xr)) (not (tptp.s_e Xa Xp Xb Xc)) (not (tptp.sameside Xq Xa Xr)) (not (tptp.s_e Xa Xq Xb Xc)) (= Xp Xq))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (not (tptp.le Xp Xa Xp Xb)) (tptp.s_t Xp Xa Xb))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (tptp.le Xp Xa Xp Xb) (not (tptp.s_t Xp Xa Xb)))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (tptp.s_col Xa Xp Xq)) (= Xa Xp) (tptp.sameside Xa Xp Xq) (tptp.sameside Xa Xp Xr))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (tptp.sameside Xa Xp Xq)) (tptp.s_col Xa Xp Xq))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (tptp.sameside Xa Xp Xr)) (tptp.s_col Xa Xp Xq))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (= Xa Xp)) (tptp.s_col Xa Xp Xq))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xc Xa Xb)) (not (tptp.s_t Xd Xa Xb)) (tptp.s_t Xd Xc Xb) (tptp.s_t Xc Xd Xb))) _let_14 (forall ((Xp $$unsorted) (Xq $$unsorted)) (or (= Xp Xq) (tptp.s_col Xp Xq Xp))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted)) (or (= Xp Xq) (not (tptp.s_col Xp Xq Xr)) (tptp.s_col Xq Xp Xr))) _let_13 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted)) (or (= Xa Xb) (= Xp Xq) (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_col Xp Xq Xc)) (not (tptp.s_col Xa Xb Xd)) (not (tptp.s_col Xp Xq Xd)) (= Xc Xd) (not (tptp.s_col Xa Xb Xe)) (tptp.s_col Xp Xq Xe))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (or (= Xa Xb) (not (tptp.s_col Xa Xb (tptp.pointOffLine Xa Xb))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.sameside Xa Xb Xc)) (not (tptp.sameside Xa1 Xb1 Xc1)) (not (tptp.s_e Xb Xa Xb1 Xa1)) (not (tptp.s_e Xb Xc Xb1 Xc1)) (tptp.s_e Xa Xc Xa1 Xc1))) (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (not (tptp.s_m Xa Xm Xb)) (tptp.s_m Xb Xm Xa))) (forall ((Xa $$unsorted) (Xm $$unsorted)) (or (not (tptp.s_m Xa Xm Xa)) (= Xm Xa))) (forall ((Xa $$unsorted) (Xm $$unsorted)) (or (tptp.s_m Xa Xm Xa) (not (= Xm Xa)))) (forall ((Xp $$unsorted) (Xa $$unsorted)) (tptp.s_m Xp Xa (tptp.s Xa Xp))) (forall ((Xp $$unsorted) (Xa $$unsorted) (Xr $$unsorted) (Xq $$unsorted)) (or (not (tptp.s_m Xp Xa Xr)) (not (tptp.s_m Xp Xa Xq)) (= Xr Xq))) _let_12 (forall ((Xa $$unsorted) (Xp $$unsorted)) (= (tptp.s Xa (tptp.s Xa Xp)) Xp)) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xr $$unsorted) (Xq $$unsorted)) (or (not (= (tptp.s Xa Xp) Xr)) (not (= (tptp.s Xa Xq) Xr)) (= Xp Xq))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (= (tptp.s Xa Xp) (tptp.s Xa Xq))) (= Xp Xq))) _let_11 (forall ((Xa $$unsorted) (Xp $$unsorted)) (or (= (tptp.s Xa Xp) Xp) (not (= Xp Xa)))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xa $$unsorted)) (tptp.s_e Xp Xq (tptp.s Xa Xp) (tptp.s Xa Xq))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (not (tptp.s_t Xp Xq Xr)) (tptp.s_t (tptp.s Xa Xp) (tptp.s Xa Xq) (tptp.s Xa Xr)))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (tptp.s_t Xp Xq Xr) (not (tptp.s_t (tptp.s Xa Xp) (tptp.s Xa Xq) (tptp.s Xa Xr))))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xcs $$unsorted) (Xa $$unsorted)) (or (not (tptp.s_e Xp Xq Xr Xcs)) (tptp.s_e (tptp.s Xa Xp) (tptp.s Xa Xq) (tptp.s Xa Xr) (tptp.s Xa Xcs)))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xcs $$unsorted) (Xa $$unsorted)) (or (tptp.s_e Xp Xq Xr Xcs) (not (tptp.s_e (tptp.s Xa Xp) (tptp.s Xa Xq) (tptp.s Xa Xr) (tptp.s Xa Xcs))))) (forall ((Xp $$unsorted) (Xa $$unsorted) (Xq $$unsorted) (Xb $$unsorted)) (or (not (tptp.s_m Xp Xa Xq)) (not (tptp.s_m Xp Xb Xq)) (= Xa Xb))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (= (tptp.s Xa Xp) (tptp.s Xb Xp))) (= Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted)) (or (not (= (tptp.s Xa (tptp.s Xb Xp)) (tptp.s Xb (tptp.s Xa Xp)))) (= Xa Xb))) (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (not (tptp.s_col Xa Xm Xb)) (not (tptp.s_e Xm Xa Xm Xb)) (= Xa Xb) (tptp.s_m Xa Xm Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xp $$unsorted)) (or (tptp.s_col Xa Xb Xc) (= Xb Xd) (not (tptp.s_e Xa Xb Xc Xd)) (not (tptp.s_e Xb Xc Xd Xa)) (not (tptp.s_col Xa Xp Xc)) (not (tptp.s_col Xb Xp Xd)) (tptp.s_m Xa Xp Xc))) (forall ((Xa1 $$unsorted) (Xm1 $$unsorted) (Xb1 $$unsorted) (Xc $$unsorted) (Xb2 $$unsorted) (Xm2 $$unsorted) (Xa2 $$unsorted)) (or (not (tptp.s_kf Xa1 Xm1 Xb1 Xc Xb2 Xm2 Xa2)) (tptp.s_t Xm1 Xc Xm2) (not (tptp.le Xc Xa1 Xc Xa2)))) (forall ((Xa1 $$unsorted) (Xm1 $$unsorted) (Xb1 $$unsorted) (Xc $$unsorted) (Xb2 $$unsorted) (Xm2 $$unsorted) (Xa2 $$unsorted)) (or (not (tptp.s_kf Xa1 Xm1 Xb1 Xc Xb2 Xm2 Xa2)) (tptp.s_t Xm1 Xc Xm2))) (forall ((Xa1 $$unsorted) (Xc $$unsorted) (Xa2 $$unsorted) (Xb1 $$unsorted) (Xb2 $$unsorted) (Xm1 $$unsorted) (Xm2 $$unsorted)) (or (not (tptp.s_t Xa1 Xc Xa2)) (not (tptp.s_t Xb1 Xc Xb2)) (not (tptp.s_e Xc Xa1 Xc Xb1)) (not (tptp.s_e Xc Xa2 Xc Xb2)) (not (tptp.s_m Xa1 Xm1 Xb1)) (not (tptp.s_m Xa2 Xm2 Xb2)) (tptp.s_t Xm1 Xc Xm2))) (forall ((Xc $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (or (not (tptp.s_e Xc Xa Xc Xb)) (tptp.s_m Xa (tptp.isomidpoint Xa Xb Xc) Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_r Xa Xb Xc)) (tptp.s_r Xc Xb Xa))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted)) (or (not (tptp.s_r Xa Xb Xc)) (= Xa Xb) (not (tptp.s_col Xb Xa Xa1)) (tptp.s_r Xa1 Xb Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_r Xa Xb Xc)) (tptp.s_r Xa Xb (tptp.s Xb Xc)))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_r Xa Xb Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted)) (or (not (tptp.s_r Xa Xb Xc)) (not (tptp.s_r Xa1 Xb Xc)) (not (tptp.s_t Xa Xc Xa1)) (= Xb Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_r Xa Xb Xc)) (not (tptp.s_r Xa Xc Xb)) (= Xb Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (or (not (tptp.s_r Xa Xb Xa)) (= Xa Xb))) _let_10 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_r Xa Xb Xc)) (not (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (tptp.s_r Xa1 Xb1 Xc1))) _let_9 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (tptp.perp Xa Xb Xp Xq)) (tptp.perp Xp Xq Xa Xb))) _let_8 _let_7 _let_6 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xa1 $$unsorted) (Xc1 $$unsorted)) (= (tptp.insert Xa Xb Xa1 Xc1) (tptp.ext (tptp.ext Xc1 Xa1 tptp.alpha tptp.gamma) Xa1 Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Za $$unsorted) (Zb $$unsorted) (Zc $$unsorted) (Zd $$unsorted)) (let ((_let_1 (tptp.s_afs Xa Xb Xc Xd Za Zb Zc Zd))) (let ((_let_2 (tptp.s_e Xb Xd Zb Zd))) (let ((_let_3 (tptp.s_e Xa Xd Za Zd))) (let ((_let_4 (tptp.s_e Xb Xc Zb Zc))) (let ((_let_5 (tptp.s_e Xa Xb Za Zb))) (let ((_let_6 (tptp.s_t Za Zb Zc))) (let ((_let_7 (tptp.s_t Xa Xb Xc))) (let ((_let_8 (not _let_1))) (and (or _let_8 _let_7) (or _let_8 _let_6) (or _let_8 _let_5) (or _let_8 _let_4) (or _let_8 _let_3) (or _let_8 _let_2) (or (not _let_7) (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Za $$unsorted) (Zb $$unsorted) (Zc $$unsorted) (Zd $$unsorted)) (let ((_let_1 (tptp.s_ifs Xa Xb Xc Xd Za Zb Zc Zd))) (let ((_let_2 (tptp.s_e Xc Xd Zc Zd))) (let ((_let_3 (tptp.s_e Xa Xd Za Zd))) (let ((_let_4 (tptp.s_e Xb Xc Zb Zc))) (let ((_let_5 (tptp.s_e Xa Xc Za Zc))) (let ((_let_6 (tptp.s_t Za Zb Zc))) (let ((_let_7 (tptp.s_t Xa Xb Xc))) (let ((_let_8 (not _let_1))) (and (or _let_8 _let_7) (or _let_8 _let_6) (or _let_8 _let_5) (or _let_8 _let_4) (or _let_8 _let_3) (or _let_8 _let_2) (or (not _let_7) (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))))) (forall ((Xa1 $$unsorted) (Xa2 $$unsorted) (Xa3 $$unsorted) (Xb1 $$unsorted) (Xb2 $$unsorted) (Xb3 $$unsorted)) (let ((_let_1 (tptp.s_e3 Xa1 Xa2 Xa3 Xb1 Xb2 Xb3))) (let ((_let_2 (tptp.s_e Xa2 Xa3 Xb2 Xb3))) (let ((_let_3 (tptp.s_e Xa1 Xa3 Xb1 Xb3))) (let ((_let_4 (tptp.s_e Xa1 Xa2 Xb1 Xb2))) (let ((_let_5 (not _let_1))) (and (or _let_5 _let_4) (or _let_5 _let_3) (or _let_5 _let_2) (or (not _let_4) (not _let_3) (not _let_2) _let_1)))))))) _let_4 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (let ((_let_1 (tptp.s_fs Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1))) (let ((_let_2 (tptp.s_e Xb Xd Xb1 Xd1))) (let ((_let_3 (tptp.s_e Xa Xd Xa1 Xd1))) (let ((_let_4 (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1))) (let ((_let_5 (tptp.s_col Xa Xb Xc))) (let ((_let_6 (not _let_1))) (and (or _let_6 _let_5) (or _let_6 _let_4) (or _let_6 _let_3) (or _let_6 _let_2) (or (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.le Xa Xb Xc Xd))) (let ((_let_2 (tptp.insert Xa Xb Xc Xd))) (let ((_let_3 (not _let_1))) (and (or _let_3 (tptp.s_t Xc _let_2 Xd)) (or _let_3 (tptp.s_e Xa Xb Xc _let_2)) (or (not (tptp.s_t Xc Y Xd)) (not (tptp.s_e Xa Xb Xc Y)) _let_1)))))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.sameside Xa Xp Xb))) (let ((_let_2 (= Xb Xp))) (let ((_let_3 (= Xa Xp))) (let ((_let_4 (tptp.s_t Xp Xb Xa))) (let ((_let_5 (tptp.s_t Xp Xa Xb))) (let ((_let_6 (not _let_1))) (and (or _let_6 (not _let_3)) (or _let_6 (not _let_2)) (or _let_6 _let_5 _let_4) (or (not _let_5) _let_3 (= tptp.xb Xp) _let_1) (or (not _let_4) _let_3 _let_2 _let_1))))))))) _let_3 (forall ((Xa1 $$unsorted) (Xm1 $$unsorted) (Xb1 $$unsorted) (Xc $$unsorted) (Xb2 $$unsorted) (Xm2 $$unsorted) (Xa2 $$unsorted)) (let ((_let_1 (tptp.s_kf Xa1 Xm1 Xb1 Xc Xb2 Xm2 Xa2))) (let ((_let_2 (tptp.s_m Xa2 Xm2 Xb2))) (let ((_let_3 (tptp.s_m Xa1 Xm1 Xb1))) (let ((_let_4 (tptp.s_e Xc Xa2 Xc Xb2))) (let ((_let_5 (tptp.s_e Xc Xa1 Xc Xb1))) (let ((_let_6 (tptp.s_t Xb1 Xc Xb2))) (let ((_let_7 (tptp.s_t Xa1 Xc Xa2))) (let ((_let_8 (not _let_1))) (and (or _let_8 _let_7) (or _let_8 _let_6) (or _let_8 _let_5) (or _let_8 _let_4) (or _let_8 _let_3) (or _let_8 _let_2) (or (not _let_7) (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (let ((_let_1 (tptp.s_e Xa Xc Xa (tptp.s Xb Xc)))) (let ((_let_2 (tptp.s_r Xa Xb Xc))) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.32/30.52  )
% 30.32/30.52  % SZS output end Proof for GEO507+1
% 30.32/30.52  % cvc5---1.0.5 exiting
% 30.37/30.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------