%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 22:51:35 EDT 2023

% Result   : Theorem 52.99s 53.20s
% Output   : Proof 52.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n011.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Aug 29 22:21:56 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 52.99/53.20  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7LpUPzi5SI/cvc5---1.0.5_12643.p...
% 52.99/53.20  ------- get file name : TPTP file name is GEO497+1
% 52.99/53.20  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12643.smt2...
% 52.99/53.20  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 52.99/53.20  --- Run --no-e-matching --full-saturate-quant at 5...
% 52.99/53.20  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 52.99/53.20  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 52.99/53.20  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 52.99/53.20  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 52.99/53.20  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 52.99/53.20  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 52.99/53.20  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 52.99/53.20  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 52.99/53.20  % SZS status Theorem for GEO497+1
% 52.99/53.20  % SZS output start Proof for GEO497+1
% 52.99/53.20  (
% 52.99/53.20  (let ((_let_1 (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.sameside Xa Xp Xb))) (let ((_let_2 (= Xb Xp))) (let ((_let_3 (= Xa Xp))) (let ((_let_4 (tptp.s_t Xp Xb Xa))) (let ((_let_5 (tptp.s_t Xp Xa Xb))) (let ((_let_6 (not _let_1))) (and (or _let_6 (not _let_3)) (or _let_6 (not _let_2)) (or _let_6 _let_5 _let_4) (or (not _let_5) _let_3 (= tptp.xb Xp) _let_1) (or (not _let_4) _let_3 _let_2 _let_1))))))))))) (let ((_let_2 (forall ((Xa $$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_3 (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))))) (let ((_let_4 (not (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)))))))))) (let ((_let_5 (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (tptp.sameside Xa Xp Xb) (not (tptp.s_col Xa Xp Xb)) (tptp.s_t Xa Xp Xb))))) (let ((_let_6 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xd)) (not (tptp.s_t Xa Xc Xd)) (tptp.s_t Xa Xb Xc) (tptp.s_t Xa Xc Xb))))) (let ((_let_7 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xb Xd)) (tptp.s_t Xb Xc Xd) (tptp.s_t Xb Xd Xc))))) (let ((_let_8 (forall ((Xb $$unsorted) (Xa $$unsorted)) (not (= Xb (tptp.ext Xa Xb tptp.alpha tptp.gamma)))))) (let ((_let_9 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xa Xc)) (= Xa Xb))))) (let ((_let_10 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (tptp.s_t Xc Xb Xa))))) (let ((_let_11 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xc Xd Xa Xb))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.ext X Y W V))) (and (tptp.s_t X Y _let_1) (tptp.s_e Y _let_1 W V)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.s_e X Y Z Z)) (= X Y))))) (let ((_let_14 (tptp.insert SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15))) (let ((_let_19 (_let_10))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (not _let_18))) (let ((_let_22 (not _let_15))) (let ((_let_23 (tptp.s_col _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (or _let_23 _let_22))) (let ((_let_25 (forall ((BOUND_VARIABLE_2494 $$unsorted) (BOUND_VARIABLE_2496 $$unsorted) (BOUND_VARIABLE_2498 $$unsorted)) (or (tptp.s_col BOUND_VARIABLE_2494 BOUND_VARIABLE_2496 BOUND_VARIABLE_2498) (not (tptp.s_t BOUND_VARIABLE_2498 BOUND_VARIABLE_2494 BOUND_VARIABLE_2496)))))) (let ((_let_26 (_let_25))) (let ((_let_27 (tptp.s_t _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (not _let_23))) (let ((_let_29 (tptp.sameside _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (or _let_29 _let_28 _let_27))) (let ((_let_31 (_let_5))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_34 (not _let_27))) (let ((_let_35 (or _let_17 _let_34 _let_33))) (let ((_let_36 (_let_9))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_39 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_40 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_41 (not _let_33))) (let ((_let_42 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_39))) (let ((_let_45 (_let_11))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_48 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_49 (or _let_48 _let_47 _let_42))) (let ((_let_50 (forall ((BOUND_VARIABLE_2026 $$unsorted) (BOUND_VARIABLE_2028 $$unsorted) (BOUND_VARIABLE_2030 $$unsorted) (BOUND_VARIABLE_2032 $$unsorted)) (or (= BOUND_VARIABLE_2026 BOUND_VARIABLE_2028) (= BOUND_VARIABLE_2030 BOUND_VARIABLE_2032) (tptp.s_e BOUND_VARIABLE_2028 (tptp.insert BOUND_VARIABLE_2030 BOUND_VARIABLE_2032 BOUND_VARIABLE_2028 BOUND_VARIABLE_2026) BOUND_VARIABLE_2030 BOUND_VARIABLE_2032))))) (let ((_let_51 (tptp.insert SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_52 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_53 (or (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) _let_52))) (let ((_let_54 (tptp.ext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.alpha tptp.gamma))) (let ((_let_55 (tptp.ext _let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_56 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_57 (= _let_51 _let_55))) (let ((_let_58 (forall ((BOUND_VARIABLE_1677 $$unsorted) (BOUND_VARIABLE_1679 $$unsorted) (BOUND_VARIABLE_1681 $$unsorted) (BOUND_VARIABLE_1683 $$unsorted)) (tptp.s_e BOUND_VARIABLE_1679 (tptp.ext BOUND_VARIABLE_1677 BOUND_VARIABLE_1679 BOUND_VARIABLE_1681 BOUND_VARIABLE_1683) BOUND_VARIABLE_1681 BOUND_VARIABLE_1683)))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_58))) (let ((_let_61 (_let_3))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((tptp.insert Xa Xb Xa1 Xc1)))) (let ((_let_64 (and _let_57 _let_56))) (let ((_let_65 (ASSUME :args (_let_56)))) (let ((_let_66 (APPLY_UF tptp.s_e))) (let ((_let_67 (ASSUME :args (_let_57)))) (let ((_let_68 (or))) (let ((_let_69 (not _let_50))) (let ((_let_70 (_let_69))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_70)) :args _let_70)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_50))) (REFL :args ((not _let_53))) :args _let_68)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 2)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_67) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (SYMM (SYMM _let_67)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) :args _let_66) (TRUE_INTRO _let_65))) :args (_let_56 _let_57))) :args (_let_57 _let_56))) :args (true _let_64)) :args ((or _let_52 (not _let_57) (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_57 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_60) :args (_let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_60)) (AND_ELIM _let_59 :args (1)) :args (_let_56 false _let_58)) :args (_let_52 false _let_57 false _let_56)) :args (_let_53 false _let_52)) :args (_let_50 false _let_53)))) (let ((_let_72 (_let_50))) (let ((_let_73 (or _let_48 _let_47 _let_29))) (let ((_let_74 (forall ((BOUND_VARIABLE_2011 $$unsorted) (BOUND_VARIABLE_2013 $$unsorted) (BOUND_VARIABLE_2015 $$unsorted) (BOUND_VARIABLE_2017 $$unsorted)) (or (= BOUND_VARIABLE_2011 BOUND_VARIABLE_2013) (= BOUND_VARIABLE_2015 BOUND_VARIABLE_2017) (tptp.sameside (tptp.insert BOUND_VARIABLE_2015 BOUND_VARIABLE_2017 BOUND_VARIABLE_2013 BOUND_VARIABLE_2011) BOUND_VARIABLE_2013 BOUND_VARIABLE_2011))))) (let ((_let_75 (not _let_73))) (let ((_let_76 (not _let_74))) (let ((_let_77 (_let_76))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_77)) :args _let_77)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_74))) (REFL :args (_let_75)) :args _let_68)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)))) _let_71 :args (_let_76 false _let_50)) :args (_let_75 true _let_74)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_73 1)) _let_78 :args ((not _let_47) true _let_73)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_73 0)) _let_78 :args ((not _let_48) true _let_73)))) (let ((_let_81 (not _let_40))) (let ((_let_82 (or _let_81 _let_47))) (let ((_let_83 (_let_13))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (ASSUME :args (_let_33)))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_88 (tptp.ext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alpha tptp.gamma))) (let ((_let_89 (tptp.ext _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_90 (= _let_14 _let_89))) (let ((_let_91 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_89 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_90 false _let_3)))) (let ((_let_93 (tptp.s_t _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_89))) (let ((_let_94 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_88))) (let ((_let_95 (tptp.s_t _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_96 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_89))) (let ((_let_97 (not _let_93))) (let ((_let_98 (not _let_95))) (let ((_let_99 (or _let_94 _let_98 _let_97 _let_96 _let_91))) (let ((_let_100 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_33 _let_48 _let_29))) (let ((_let_103 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_104 (or _let_22 _let_16))) (let ((_let_105 (forall ((BOUND_VARIABLE_1665 $$unsorted) (BOUND_VARIABLE_1667 $$unsorted) (BOUND_VARIABLE_1669 $$unsorted) (BOUND_VARIABLE_1671 $$unsorted)) (tptp.s_t BOUND_VARIABLE_1665 BOUND_VARIABLE_1667 (tptp.ext BOUND_VARIABLE_1665 BOUND_VARIABLE_1667 BOUND_VARIABLE_1669 BOUND_VARIABLE_1671))))) (let ((_let_106 (AND_ELIM _let_59 :args (0)))) (let ((_let_107 (_let_105))) (let ((_let_108 ((tptp.ext BOUND_VARIABLE_1665 BOUND_VARIABLE_1667 BOUND_VARIABLE_1669 BOUND_VARIABLE_1671)))) (let ((_let_109 (ASSUME :args _let_107))) (let ((_let_110 (_let_8))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_88))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_95))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alpha tptp.gamma QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_112 false _let_105)))) (let ((_let_116 (_let_7))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 (not _let_96))) (let ((_let_119 (not _let_90))) (let ((_let_120 (REFL :args (_let_119)))) (let ((_let_121 (and _let_90 _let_101))) (let ((_let_122 (ASSUME :args (_let_101)))) (let ((_let_123 (APPLY_UF tptp.s_t))) (let ((_let_124 (ASSUME :args (_let_90)))) (let ((_let_125 (SYMM (SYMM _let_124)))) (let ((_let_126 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_73 2)) _let_78 :args ((not _let_29) true _let_73)))) (let ((_let_128 (forall ((BOUND_VARIABLE_2744 $$unsorted) (BOUND_VARIABLE_2746 $$unsorted) (BOUND_VARIABLE_2748 $$unsorted)) (or (not (tptp.s_t BOUND_VARIABLE_2746 BOUND_VARIABLE_2748 BOUND_VARIABLE_2744)) (= BOUND_VARIABLE_2744 BOUND_VARIABLE_2746) (= 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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))) _let_8 (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 $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (tptp.s_t Xa1 Xb1 Xc1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xb Xc Xa))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xc Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xc Xb Xa))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xb Xa Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xa Xc Xb))) (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))) _let_7 _let_6 (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)))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.c63 Xa Xp Xb))) (let ((_let_2 (not (tptp.sameside Xa Xp Xb)))) (and (or _let_2 (not (= Xa Xp))) (or _let_2 (not (= Xb Xp))) (or _let_2 (not (= _let_1 Xp))) (or _let_2 (tptp.s_t Xa Xp _let_1)) (or _let_2 (tptp.s_t Xb Xp _let_1)))))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (tptp.sameside Xa Xp Xb) (= Xa Xp) (= Xb Xp) (= Xc Xp) (not (tptp.s_t Xa Xp Xc)) (not (tptp.s_t Xb Xp Xc)))) (forall ((Xa $$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_5 (forall ((Xa $$unsorted) (Xp $$unsorted)) (or (= Xa Xp) (tptp.sameside Xa Xp Xa))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (tptp.sameside Xb Xp Xa))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (not (tptp.sameside Xb Xp Xc)) (tptp.sameside Xa Xp Xc))) _let_4 _let_3 (forall ((Xa $$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 $$unsorted)) (let ((_let_1 (tptp.s_e3 Xa1 Xa2 Xa3 Xb1 Xb2 Xb3))) (let ((_let_2 (tptp.s_e Xa2 Xa3 Xb2 Xb3))) (let ((_let_3 (tptp.s_e Xa1 Xa3 Xb1 Xb3))) (let ((_let_4 (tptp.s_e Xa1 Xa2 Xb1 Xb2))) (let ((_let_5 (not _let_1))) (and (or _let_5 _let_4) (or _let_5 _let_3) (or _let_5 _let_2) (or (not _let_4) (not _let_3) (not _let_2) _let_1)))))))) _let_2 (forall ((Xa $$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)))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 52.99/53.20  )
% 52.99/53.20  % SZS output end Proof for GEO497+1
% 52.99/53.20  % cvc5---1.0.5 exiting
% 52.99/53.20  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------