TSTP Solution File: GEO495+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO495+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 2.13s 2.37s
% Output : Proof 2.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GEO495+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.15 % 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 21:45:42 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 2.13/2.37 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.AKv2Uzm2Kg/cvc5---1.0.5_28673.p...
% 2.13/2.37 ------- get file name : TPTP file name is GEO495+1
% 2.13/2.37 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28673.smt2...
% 2.13/2.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.13/2.37 % SZS status Theorem for GEO495+1
% 2.13/2.37 % SZS output start Proof for GEO495+1
% 2.13/2.37 (
% 2.13/2.37 (let ((_let_1 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.le Xa Xb Xc Xd))) (let ((_let_2 (tptp.insert Xa Xb Xc Xd))) (let ((_let_3 (not _let_1))) (and (or _let_3 (tptp.s_t Xc _let_2 Xd)) (or _let_3 (tptp.s_e Xa Xb Xc _let_2)) (or (not (tptp.s_t Xc Y Xd)) (not (tptp.s_e Xa Xb Xc Y)) _let_1)))))))) (let ((_let_2 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xa1 $$unsorted) (Xc1 $$unsorted)) (= (tptp.insert Xa Xb Xa1 Xc1) (tptp.ext (tptp.ext Xc1 Xa1 tptp.alpha tptp.gamma) Xa1 Xa Xb))))) (let ((_let_3 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.le Xa Xb Xc Xd)) (not (tptp.le Xc Xd Xa Xb)) (tptp.s_e Xa Xb Xc Xd))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (let ((_let_1 (tptp.ins Xc Xd Xa Xb))) (let ((_let_2 (not (tptp.le Xa Xb Xc Xd)))) (and (or _let_2 (tptp.s_t Xa Xb _let_1)) (or _let_2 (tptp.s_e Xa _let_1 Xc Xd)) (or _let_2 (= _let_1 (tptp.ext Xa Xb (tptp.insert Xa Xb Xc Xd) Xd))))))))) (let ((_let_6 (forall ((Xa $$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 $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xb Xd)) (tptp.s_t Xb Xc Xd) (tptp.s_t Xb Xd Xc))))) (let ((_let_8 (forall ((Xa $$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))))))))) (let ((_let_9 (forall ((Xb $$unsorted) (Xa $$unsorted)) (not (= Xb (tptp.ext Xa Xb tptp.alpha tptp.gamma)))))) (let ((_let_10 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xa Xc)) (= Xa Xb))))) (let ((_let_11 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (tptp.s_t Xc Xb Xa))))) (let ((_let_12 (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))))) (let ((_let_13 (forall ((Xq $$unsorted) (Xa $$unsorted) (Xd $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xq Xa) (not (tptp.s_t Xq Xa Xd)) (not (tptp.s_e Xa Xd Xb Xc)) (= Xd (tptp.ext Xq Xa Xb Xc)))))) (let ((_let_14 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xa Xb Xd Xc))))) (let ((_let_15 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (not (tptp.s_e Xc Xd Xe Xf)) (tptp.s_e Xa Xb Xe Xf))))) (let ((_let_16 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xc Xd Xa Xb))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.ext X Y W V))) (and (tptp.s_t X Y _let_1) (tptp.s_e Y _let_1 W V)))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.s_e X Y Z Z)) (= X Y))))) (let ((_let_19 (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))))) (let ((_let_20 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.ext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.alpha tptp.gamma))) (let ((_let_22 (tptp.ext _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (= (tptp.insert SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_22))) (let ((_let_24 (tptp.insert SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (tptp.insert SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_26 (tptp.ext _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.alpha tptp.gamma))) (let ((_let_27 (tptp.ext _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_28 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_29 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_22))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_27))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_24))) (let ((_let_32 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_33 (not _let_20))) (let ((_let_34 (or _let_33 _let_32))) (let ((_let_35 (_let_16))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((not (= (tptp.s_e Xc Xd Xa Xb) true))))) (let ((_let_38 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_32))) (let ((_let_43 (not _let_42))) (let ((_let_44 (_let_4))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (or))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args (_let_43)) :args _let_46)) _let_45 :args (_let_43 true _let_3)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 2)) _let_47 :args ((not _let_32) true _let_42)))) (let ((_let_49 (_let_2))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((tptp.insert Xa Xb Xa1 Xc1)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_23 false _let_2)))) (let ((_let_53 (forall ((BOUND_VARIABLE_1458 $$unsorted) (BOUND_VARIABLE_1460 $$unsorted) (BOUND_VARIABLE_1462 $$unsorted) (BOUND_VARIABLE_1464 $$unsorted)) (tptp.s_e BOUND_VARIABLE_1460 (tptp.ext BOUND_VARIABLE_1458 BOUND_VARIABLE_1460 BOUND_VARIABLE_1462 BOUND_VARIABLE_1464) BOUND_VARIABLE_1462 BOUND_VARIABLE_1464)))) (let ((_let_54 (1))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (AND_ELIM _let_55 :args _let_54))) (let ((_let_57 (_let_53))) (let ((_let_58 ((tptp.ext BOUND_VARIABLE_1458 BOUND_VARIABLE_1460 BOUND_VARIABLE_1462 BOUND_VARIABLE_1464)))) (let ((_let_59 (ASSUME :args _let_57))) (let ((_let_60 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.s_t _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_63 (not _let_62))) (let ((_let_64 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_65 (or _let_64 _let_63 _let_61 _let_29))) (let ((_let_66 (_let_13))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 ((tptp.ext Xq Xa Xb Xc) (not (= (tptp.s_e Xa Xd Xb Xc) false))))) (let ((_let_69 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_62))) (let ((_let_72 (_let_11))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 ((not (= (tptp.s_t Xa Xb Xc) false))))) (let ((_let_75 (forall ((BOUND_VARIABLE_1446 $$unsorted) (BOUND_VARIABLE_1448 $$unsorted) (BOUND_VARIABLE_1450 $$unsorted) (BOUND_VARIABLE_1452 $$unsorted)) (tptp.s_t BOUND_VARIABLE_1446 BOUND_VARIABLE_1448 (tptp.ext BOUND_VARIABLE_1446 BOUND_VARIABLE_1448 BOUND_VARIABLE_1450 BOUND_VARIABLE_1452))))) (let ((_let_76 (0))) (let ((_let_77 (AND_ELIM _let_55 :args _let_76))) (let ((_let_78 (_let_75))) (let ((_let_79 ((tptp.ext BOUND_VARIABLE_1446 BOUND_VARIABLE_1448 BOUND_VARIABLE_1450 BOUND_VARIABLE_1452)))) (let ((_let_80 (ASSUME :args _let_78))) (let ((_let_81 (_let_9))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 ((tptp.ext Xa Xb tptp.alpha tptp.gamma)))) (let ((_let_84 (tptp.ins SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_85 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_84 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_86 _let_60))) (let ((_let_88 (_let_19))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (or _let_39 _let_85))) (let ((_let_91 (forall ((BOUND_VARIABLE_1615 $$unsorted) (BOUND_VARIABLE_1617 $$unsorted) (BOUND_VARIABLE_1619 $$unsorted) (BOUND_VARIABLE_1621 $$unsorted)) (or (not (tptp.le BOUND_VARIABLE_1615 BOUND_VARIABLE_1617 BOUND_VARIABLE_1619 BOUND_VARIABLE_1621)) (tptp.s_e BOUND_VARIABLE_1615 (tptp.ins BOUND_VARIABLE_1619 BOUND_VARIABLE_1621 BOUND_VARIABLE_1615 BOUND_VARIABLE_1617) BOUND_VARIABLE_1619 BOUND_VARIABLE_1621))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (AND_ELIM _let_92 :args _let_54))) (let ((_let_94 (_let_91))) (let ((_let_95 ((not (= (tptp.le BOUND_VARIABLE_1615 BOUND_VARIABLE_1617 BOUND_VARIABLE_1619 BOUND_VARIABLE_1621) false))))) (let ((_let_96 (ASSUME :args _let_94))) (let ((_let_97 (REFL :args (_let_42)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_46)) :args ((or _let_38 _let_42))) _let_47 :args (_let_38 true _let_42)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_39 _let_85 (not _let_90)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_90 false _let_91)) :args (_let_85 false _let_38 false _let_90)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_61 _let_64 _let_63 _let_29 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_87))) :args ((or _let_86 _let_60 (not _let_87)))) _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_84 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.s_e X Y Z V) false)) (not (= (tptp.s_e X Y Z2 V2) false))))) :args _let_88)) _let_89 :args (_let_87 false _let_19)) :args (_let_60 false _let_85 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_81)) _let_82 :args ((not _let_64) false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_62 (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.alpha tptp.gamma QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_69 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_72)) _let_73 :args (_let_71 false _let_11)) :args (_let_62 false _let_69 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66))) _let_67 :args (_let_65 false _let_13)) :args (_let_29 false _let_60 true _let_64 false _let_62 false _let_65)))) (let ((_let_101 (tptp.s_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.s_t _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_104 (not _let_103))) (let ((_let_105 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_26))) (let ((_let_106 (or _let_105 _let_104 _let_102 _let_30))) (let ((_let_107 (tptp.ext SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.alpha tptp.gamma))) (let ((_let_108 (tptp.s_t _let_107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_109 (= _let_107 _let_26))) (let ((_let_110 (tptp.s_t 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_141 (tptp.s_t _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_142 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_143 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_84))) (let ((_let_144 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_145 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_146 (not _let_141))) (let ((_let_147 (not _let_144))) (let ((_let_148 (or _let_147 _let_146 _let_145))) (let ((_let_149 (tptp.s_t SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_84))) (let ((_let_150 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_151 (not _let_143))) (let ((_let_152 (not _let_149))) (let ((_let_153 (or _let_152 _let_151 _let_150))) 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(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))) _let_9 (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))) _let_8 (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 $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xb Xd)) (tptp.s_t Xa Xc Xd) (tptp.s_t Xa Xd Xc))) _let_7 _let_6 _let_5 (forall ((Xa $$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))) _let_4 _let_2 (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)))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (let ((_let_1 (tptp.s_t Xc Xa Xb))) (let ((_let_2 (tptp.s_col Xa Xb Xc))) (let ((_let_3 (tptp.s_t Xb Xc Xa))) (let ((_let_4 (tptp.s_t Xa Xb Xc))) (and (or (not _let_2) _let_4 _let_3 _let_1) (or _let_2 (not _let_4)) (or _let_2 (not _let_3)) (or _let_2 (not _let_1)))))))) (forall ((Xa $$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))))))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.13/2.37 )
% 2.13/2.37 % SZS output end Proof for GEO495+1
% 2.13/2.37 % cvc5---1.0.5 exiting
% 2.13/2.38 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------