TSTP Solution File: SYN036-4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN036-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 02:00:56 EDT 2023
% Result : Unsatisfiable 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN036-4 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 19:55:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.55yr7emUKG/cvc5---1.0.5_26405.p...
% 0.20/0.50 ------- get file name : TPTP file name is SYN036-4
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26405.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55 % SZS status Unsatisfiable for SYN036-4
% 0.20/0.55 % SZS output start Proof for SYN036-4
% 0.20/0.56 (
% 0.20/0.56 (let ((_let_1 (forall ((X7 $$unsorted) (W9 $$unsorted)) (or (tptp.p tptp.cx) (tptp.p X7) (tptp.p (tptp.fy5 X7)) (tptp.q tptp.cw) (tptp.q W9) (tptp.q (tptp.fz5 W9)))))) (let ((_let_2 (forall ((W3 $$unsorted) (X1 $$unsorted)) (or (not (tptp.q tptp.cw)) (not (tptp.q W3)) (not (tptp.q (tptp.fz W3))) (tptp.p tptp.cx) (tptp.p X1) (tptp.p (tptp.fy X1)))))) (let ((_let_3 (forall ((X7 $$unsorted) (W9 $$unsorted)) (or (not (tptp.p tptp.cx)) (not (tptp.p X7)) (not (tptp.p (tptp.fy5 X7))) (not (tptp.q tptp.cw)) (not (tptp.q W9)) (not (tptp.q (tptp.fz5 W9))))))) (let ((_let_4 (forall ((X1 $$unsorted) (W3 $$unsorted)) (or (not (tptp.p tptp.cx)) (not (tptp.p X1)) (not (tptp.p (tptp.fy X1))) (tptp.q tptp.cw) (tptp.q W3) (tptp.q (tptp.fz W3)))))) (let ((_let_5 (forall ((Z2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.q Z2)) (tptp.p tptp.cx) (tptp.p X1) (tptp.p (tptp.fy X1)) (tptp.q tptp.cw))))) (let ((_let_6 (forall ((X1 $$unsorted) (Z1 $$unsorted)) (or (not (tptp.q tptp.cw)) (tptp.p tptp.cx) (tptp.p X1) (tptp.p (tptp.fy X1)) (tptp.q Z1))))) (let ((_let_7 (forall ((Y4 $$unsorted) (W6 $$unsorted) (W9 $$unsorted)) (or (not (tptp.p Y4)) (not (tptp.q W6)) (tptp.p tptp.cx) (tptp.q W9) (tptp.q (tptp.fz5 W9)))))) (let ((_let_8 (forall ((Y4 $$unsorted) (W9 $$unsorted)) (or (not (tptp.p Y4)) (not (tptp.q tptp.cw)) (not (tptp.q W9)) (not (tptp.q (tptp.fz5 W9))) (tptp.p tptp.cx))))) (let ((_let_9 (forall ((Y2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.p Y2)) (tptp.p tptp.cx) (tptp.q tptp.cw) (tptp.q W3) (tptp.q (tptp.fz W3)))))) (let ((_let_10 (forall ((Y1 $$unsorted) (W3 $$unsorted)) (or (not (tptp.p tptp.cx)) (tptp.p Y1) (tptp.q tptp.cw) (tptp.q W3) (tptp.q (tptp.fz W3)))))) (let ((_let_11 (forall ((W9 $$unsorted) (Y3 $$unsorted)) (or (not (tptp.p tptp.cx)) (not (tptp.q tptp.cw)) (not (tptp.q W9)) (not (tptp.q (tptp.fz5 W9))) (tptp.p Y3))))) (let ((_let_12 (forall ((X7 $$unsorted) (Z4 $$unsorted)) (or (not (tptp.p tptp.cx)) (not (tptp.p X7)) (not (tptp.p (tptp.fy5 X7))) (not (tptp.q Z4)) (tptp.q tptp.cw))))) (let ((_let_13 (forall ((X7 $$unsorted) (Z3 $$unsorted)) (or (not (tptp.p tptp.cx)) (not (tptp.p X7)) (not (tptp.p (tptp.fy5 X7))) (not (tptp.q tptp.cw)) (tptp.q Z3))))) (let ((_let_14 (forall ((Y4 $$unsorted) (Z4 $$unsorted)) (or (not (tptp.p Y4)) (not (tptp.q Z4)) (tptp.p tptp.cx) (tptp.q tptp.cw))))) (let ((_let_15 (forall ((Y4 $$unsorted) (Z3 $$unsorted)) (or (not (tptp.p Y4)) (not (tptp.q tptp.cw)) (tptp.p tptp.cx) (tptp.q Z3))))) (let ((_let_16 (forall ((Z4 $$unsorted) (Y3 $$unsorted)) (or (not (tptp.p tptp.cx)) (not (tptp.q Z4)) (tptp.p Y3) (tptp.q tptp.cw))))) (let ((_let_17 (forall ((Y3 $$unsorted) (Z3 $$unsorted)) (or (not (tptp.p tptp.cx)) (not (tptp.q tptp.cw)) (tptp.p Y3) (tptp.q Z3))))) (let ((_let_18 (forall ((Y3 $$unsorted)) (tptp.p Y3)))) (let ((_let_19 (tptp.fy SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (tptp.p _let_19))) (let ((_let_21 (forall ((Y1 $$unsorted)) (tptp.p Y1)))) (let ((_let_22 (forall ((W3 $$unsorted)) (or (tptp.q W3) (tptp.q (tptp.fz W3)))))) (let ((_let_23 (tptp.q tptp.cw))) (let ((_let_24 (tptp.p tptp.cx))) (let ((_let_25 (forall ((W4 $$unsorted)) (or (tptp.q W4) (tptp.q (tptp.fz W4)))))) (let ((_let_26 (tptp.fz SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_27 (tptp.q _let_26))) (let ((_let_28 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_29 (or _let_28 _let_27))) (let ((_let_30 (not _let_29))) (let ((_let_31 (forall ((Z4 $$unsorted)) (not (tptp.q Z4))))) (let ((_let_32 (not _let_27))) (let ((_let_33 (forall ((X7 $$unsorted)) (or (not (tptp.p X7)) (not (tptp.p (tptp.fy5 X7))))))) (let ((_let_34 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_35 (tptp.fy5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_36 (tptp.p _let_35))) (let ((_let_37 (not _let_36))) (let ((_let_38 (not _let_34))) (let ((_let_39 (or _let_38 _let_37))) (let ((_let_40 (forall ((Z3 $$unsorted)) (tptp.q Z3)))) (let ((_let_41 (forall ((W9 $$unsorted)) (or (not (tptp.q W9)) (not (tptp.q (tptp.fz5 W9))))))) (let ((_let_42 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (tptp.fz5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (tptp.q _let_43))) (let ((_let_45 (not _let_44))) (let ((_let_46 (not _let_42))) (let ((_let_47 (or _let_46 _let_45))) (let ((_let_48 (not _let_23))) (let ((_let_49 (forall ((X2 $$unsorted)) (or (tptp.p X2) (tptp.p (tptp.fy X2)))))) (let ((_let_50 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_51 (or _let_50 _let_20))) (let ((_let_52 (forall ((Y4 $$unsorted)) (not (tptp.p Y4))))) (let ((_let_53 (forall ((Y4 $$unsorted)) (not (tptp.p Y4))))) (let ((_let_54 (forall ((Z3 $$unsorted)) (tptp.q Z3)))) (let ((_let_55 (forall ((W9 $$unsorted)) (or (not (tptp.q W9)) (not (tptp.q (tptp.fz5 W9))))))) (let ((_let_56 (forall ((W9 $$unsorted)) (or (tptp.q W9) (tptp.q (tptp.fz5 W9)))))) (let ((_let_57 (forall ((W9 $$unsorted)) (or (tptp.q W9) (tptp.q (tptp.fz5 W9)))))) (let ((_let_58 (tptp.fz5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_59 (tptp.q _let_58))) (let ((_let_60 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_61 (or _let_60 _let_59))) (let ((_let_62 (or _let_42 _let_44))) (let ((_let_63 (forall ((Z1 $$unsorted)) (tptp.q Z1)))) (let ((_let_64 (or _let_34 _let_36))) (let ((_let_65 (forall ((X8 $$unsorted)) (or (tptp.p X8) (tptp.p (tptp.fy5 X8)))))) (let ((_let_66 (forall ((X1 $$unsorted)) (or (tptp.p X1) (tptp.p (tptp.fy X1)))))) (let ((_let_67 (not _let_57))) (let ((_let_68 (ALPHA_EQUIV :args (_let_57 (= W9 W9))))) (let ((_let_69 (_let_67))) (let ((_let_70 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_69)) :args _let_69)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_57))) (REFL :args ((not _let_62))) :args (or))))) (let ((_let_71 (CNF_OR_NEG :args (_let_62 0)))) (let ((_let_72 (_let_40))) (let ((_let_73 ((not (= (tptp.q Z3) true))))) (let ((_let_74 (ASSUME :args _let_72))) (let ((_let_75 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)))) (let ((_let_76 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_40 (= Z3 Z1)))))) (let ((_let_77 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_40 (= Z3 Z3)))))) (let ((_let_78 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_24 _let_48 _let_52 _let_54))))) (let ((_let_79 (_let_25))) (let ((_let_80 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_79) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fz W4)))) :args _let_79)))) (let ((_let_81 (_let_31))) (let ((_let_82 ((not (= (tptp.q Z4) false))))) (let ((_let_83 (ASSUME :args _let_81))) (let ((_let_84 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_81)))) (let ((_let_85 (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_27 _let_30))))) (let ((_let_86 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_81)))) (let ((_let_87 (_let_52))) (let ((_let_88 ((not (= (tptp.p Y4) false))))) (let ((_let_89 (ASSUME :args _let_87))) (let ((_let_90 (_let_65))) (let ((_let_91 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_24 _let_48 _let_66 _let_63))))) (let ((_let_92 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_49 (= X2 X1)))))) (let ((_let_93 (_let_49))) (let ((_let_94 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_93) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fy X2)))) :args _let_93)))) (let ((_let_95 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)))) (let ((_let_96 (not _let_51))) (let ((_let_97 (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_20 _let_96))))) (let ((_let_98 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)))) (let ((_let_99 (_let_57))) (let ((_let_100 (not _let_61))) (let ((_let_101 (MACRO_RESOLUTION_TRUST _let_97 _let_94 _let_98 _let_95 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_49 (= X2 X1)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_52 (= Y4 Y4)))) (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_31 (= Z4 Z4)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_31 (= Z4 Z2)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_59 _let_100))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_81)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_81)) :args ((or (not _let_31) _let_100) true _let_59 true _let_60)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_99) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fz5 W9)))) :args _let_99)) (EQUIV_ELIM2 _let_68) (MACRO_RESOLUTION_TRUST _let_98 _let_97 _let_95 _let_94 _let_92 _let_91 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_65 (= X8 X7)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_90) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fy5 X8)))) :args _let_90)) (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_34 _let_36 (not _let_64)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)) (MACRO_RESOLUTION_TRUST _let_86 _let_85 _let_84 _let_80 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_25 (= W4 W3)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_31 (= Z4 W6)))) (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) _let_78 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_52 (= Y4 Y4)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_52 (= Y4 Y2)))) _let_77 _let_75 _let_71 _let_70 :args ((or _let_24 _let_52 _let_57) false _let_28 true _let_27 false _let_29 false _let_25 false _let_31 false (forall ((W3 $$unsorted)) (or (tptp.q W3) (tptp.q (tptp.fz W3)))) false (forall ((W6 $$unsorted)) (not (tptp.q W6))) true _let_23 true (forall ((Y4 $$unsorted)) (not (tptp.p Y4))) true (forall ((Y2 $$unsorted)) (not (tptp.p Y2))) true _let_54 true _let_40 true _let_42 true _let_62)) _let_76 _let_75 _let_71 _let_70 (REORDERING (EQUIV_ELIM1 _let_68) :args ((or _let_56 _let_67))) :args ((or _let_24 _let_56) false _let_50 true _let_20 false _let_51 false _let_49 false _let_66 false _let_23 true (forall ((X7 $$unsorted)) (or (tptp.p X7) (tptp.p (tptp.fy5 X7)))) true _let_65 true _let_64 true _let_36 true _let_34 false _let_52 true _let_63 true _let_40 true _let_42 true _let_62 true _let_57)) :args ((or _let_24 _let_23) false _let_51 true _let_50 true _let_20 false _let_49 false _let_52 false (forall ((X1 $$unsorted)) (or (tptp.p X1) (tptp.p (tptp.fy X1)))) false (forall ((Y4 $$unsorted)) (not (tptp.p Y4))) true (forall ((Z4 $$unsorted)) (not (tptp.q Z4))) true (forall ((Z2 $$unsorted)) (not (tptp.q Z2))) true _let_31 false _let_61 false _let_57 false _let_56)))) (let ((_let_102 (forall ((X1 $$unsorted)) (or (tptp.p X1) (tptp.p (tptp.fy X1)))))) (let ((_let_103 (forall ((W3 $$unsorted)) (or (not (tptp.q W3)) (not (tptp.q (tptp.fz W3))))))) (let ((_let_104 (forall ((W3 $$unsorted)) (or (not (tptp.q W3)) (not (tptp.q (tptp.fz W3))))))) (let ((_let_105 (not _let_28))) (let ((_let_106 (or _let_105 _let_32))) (let ((_let_107 (_let_104))) (let ((_let_108 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)))) (let ((_let_109 (_let_41))) (let ((_let_110 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_109) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fz5 W9)))) :args _let_109)))) (let ((_let_111 (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_45 (not _let_47)))))) (let ((_let_112 (MACRO_RESOLUTION_TRUST _let_111 _let_110 _let_108 _let_75 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_41 (= W9 W9)))) _let_77 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_24 _let_48 _let_53 _let_55))) _let_78 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_52 (= Y4 Y4)))) (MACRO_RESOLUTION_TRUST _let_97 _let_98 _let_95 :args ((or (not _let_52) _let_96) true _let_50 true _let_20)) _let_94 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_105 _let_32 (not _let_106)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_107) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fz W3)))) :args _let_107)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_104 (= W3 W3)))) _let_76 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_24 _let_48 _let_103 _let_102))) _let_91 :args ((or _let_24 _let_48 _let_66 _let_102) false _let_106 false _let_27 false _let_28 false _let_104 false _let_40 false _let_103 false _let_63)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_49 (= X2 X1)))) _let_92 _let_101 :args ((or _let_24 _let_49) true _let_102 true _let_66 false _let_23)) _let_101 :args (_let_24 false _let_47 false _let_44 false _let_42 false _let_41 false _let_40 false _let_55 false _let_54 true _let_53 true _let_52 false _let_51 false _let_49 false _let_23)))) (let ((_let_113 (_let_18))) (let ((_let_114 ((not (= (tptp.p Y3) true))))) (let ((_let_115 (ASSUME :args _let_113))) (let ((_let_116 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_113)))) (let ((_let_117 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_113)))) (let ((_let_118 (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_37 (not _let_39)))))) (let ((_let_119 (_let_33))) (let ((_let_120 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_119) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fy5 X7)))) :args _let_119)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST _let_111 _let_110 _let_108 _let_75 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_41 (= W9 W9)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_40 (= Z3 Z3)))) (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_112 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) _let_112 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_33 (= X7 X7)))) _let_120 _let_118 _let_117 _let_116 (MACRO_RESOLUTION_TRUST _let_111 _let_110 _let_108 _let_75 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) _let_112 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) _let_112 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_18 (= Y3 Y3)))) :args ((or _let_48 _let_18) false _let_47 false _let_44 false _let_42 false _let_41 false _let_24 false _let_40 false _let_24 true (forall ((Y3 $$unsorted)) (tptp.p Y3)))) :args (_let_48 false _let_47 false _let_44 false _let_42 false _let_41 false _let_40 false (forall ((W9 $$unsorted)) (or (not (tptp.q W9)) (not (tptp.q (tptp.fz5 W9))))) false _let_24 false (forall ((Z3 $$unsorted)) (tptp.q Z3)) false _let_24 true (forall ((X7 $$unsorted)) (or (not (tptp.p X7)) (not (tptp.p (tptp.fy5 X7))))) true _let_33 true _let_39 false _let_36 false _let_34 false _let_18)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST _let_118 _let_120 _let_117 _let_116 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_33 (= X7 X7)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_18 (= Y3 Y3)))) (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) _let_112 _let_121 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) _let_112 _let_121 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_31 (= Z4 Z4)))) :args (_let_31 false _let_39 false _let_36 false _let_34 false _let_33 false _let_18 false (forall ((X7 $$unsorted)) (or (not (tptp.p X7)) (not (tptp.p (tptp.fy5 X7))))) false _let_24 true _let_23 false (forall ((Y3 $$unsorted)) (tptp.p Y3)) false _let_24 true _let_23 true (forall ((Z4 $$unsorted)) (not (tptp.q Z4))))))) (let ((_let_123 (MACRO_RESOLUTION_TRUST _let_80 (MACRO_RESOLUTION_TRUST _let_85 (MACRO_RESOLUTION_TRUST _let_86 _let_122 :args (_let_105 false _let_31)) (MACRO_RESOLUTION_TRUST _let_84 _let_122 :args (_let_32 false _let_31)) :args (_let_30 true _let_28 true _let_27)) :args ((not _let_25) true _let_29)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_18 (= Y3 Y1)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) _let_112 _let_121 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_25 (= W4 W3)))) _let_123 :args ((not _let_22) true _let_25)) :args (_let_21 false _let_24 true _let_23 true _let_22)) :args (_let_18 false _let_21)))) (let ((_let_125 (not _let_20))) (let ((_let_126 (not _let_50))) (let ((_let_127 (or _let_126 _let_125))) (let ((_let_128 (forall ((X5 $$unsorted)) (or (not (tptp.p X5)) (not (tptp.p (tptp.fy X5))))))) (let ((_let_129 (forall ((X1 $$unsorted)) (or (not (tptp.p X1)) (not (tptp.p (tptp.fy X1))))))) (let ((_let_130 (forall ((W3 $$unsorted)) (or (tptp.q W3) (tptp.q (tptp.fz W3)))))) (let ((_let_131 (_let_128))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_126 _let_125 (not _let_127)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_113)) _let_124 :args (_let_50 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_131) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fy X5)))) :args _let_131)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_128 (= X5 X1)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) _let_112 _let_121 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_25 (= W4 W3)))) _let_123 :args ((not _let_130) true _let_25)) :args (_let_129 false _let_24 true _let_23 true _let_130)) :args (_let_128 false _let_129)) :args (_let_127 false _let_128)) :args (_let_125 false _let_50 false _let_127)) _let_124 :args (false true _let_20 false _let_18)) :args (_let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 (forall ((W2 $$unsorted) (Y1 $$unsorted) (W4 $$unsorted)) (or (not (tptp.p tptp.cx)) (not (tptp.q W2)) (tptp.p Y1) (tptp.q W4) (tptp.q (tptp.fz W4)))) (forall ((W3 $$unsorted) (Y1 $$unsorted) (W4 $$unsorted)) (or (not (tptp.p tptp.cx)) (not (tptp.q W3)) (not (tptp.q (tptp.fz W3))) (tptp.p Y1) (tptp.q W4))) _let_10 (forall ((X5 $$unsorted) (X2 $$unsorted) (Z1 $$unsorted)) (or (not (tptp.p X5)) (not (tptp.p (tptp.fy X5))) (not (tptp.q tptp.cw)) (tptp.p X2) (tptp.q Z1))) (forall ((X5 $$unsorted) (X2 $$unsorted) (Z1 $$unsorted)) (or (not (tptp.p X5)) (not (tptp.q tptp.cw)) (tptp.p X2) (tptp.p (tptp.fy X2)) (tptp.q Z1))) (forall ((X2 $$unsorted) (X9 $$unsorted) (Z4 $$unsorted) (X8 $$unsorted)) (or (not (tptp.p X2)) (not (tptp.p (tptp.fy5 X9))) (not (tptp.q Z4)) (tptp.p X8) (tptp.q tptp.cw))) (forall ((X9 $$unsorted) (Z4 $$unsorted) (X8 $$unsorted)) (or (not (tptp.p X9)) (not (tptp.q Z4)) (tptp.p X8) (tptp.p (tptp.fy5 X8)) (tptp.q tptp.cw))) _let_9 _let_8 _let_7 (forall ((Y4 $$unsorted) (W9 $$unsorted) (W10 $$unsorted)) (or (not (tptp.p Y4)) (not (tptp.q W9)) (not (tptp.q (tptp.fz5 W9))) (tptp.p tptp.cx) (tptp.q W10))) _let_6 _let_5 (forall ((X1 $$unsorted) (W3 $$unsorted)) (or (not (tptp.p tptp.cx)) (not (tptp.p X1)) (not (tptp.p (tptp.fy X1))) (not (tptp.q W3)) (not (tptp.q (tptp.fz W3))) (tptp.q tptp.cw))) _let_4 _let_3 (forall ((X1 $$unsorted) (W3 $$unsorted)) (or (not (tptp.p X1)) (not (tptp.p (tptp.fy X1))) (not (tptp.q tptp.cw)) (not (tptp.q W3)) (not (tptp.q (tptp.fz W3))) (tptp.p tptp.cx))) (forall ((X4 $$unsorted) (W1 $$unsorted) (X2 $$unsorted) (W4 $$unsorted)) (or (not (tptp.p X4)) (not (tptp.p (tptp.fy X4))) (not (tptp.q W1)) (tptp.p X2) (tptp.q W4) (tptp.q (tptp.fz W4)))) (forall ((X4 $$unsorted) (W3 $$unsorted) (X2 $$unsorted) (W4 $$unsorted)) (or (not (tptp.p X4)) (not (tptp.p (tptp.fy X4))) (not (tptp.q W3)) (not (tptp.q (tptp.fz W3))) (tptp.p X2) (tptp.q W4))) (forall ((X4 $$unsorted) (W1 $$unsorted) (X2 $$unsorted) (W4 $$unsorted)) (or (not (tptp.p X4)) (not (tptp.q W1)) (tptp.p X2) (tptp.p (tptp.fy X2)) (tptp.q W4) (tptp.q (tptp.fz W4)))) (forall ((X4 $$unsorted) (W3 $$unsorted) (X2 $$unsorted) (W4 $$unsorted)) (or (not (tptp.p X4)) (not (tptp.q W3)) (not (tptp.q (tptp.fz W3))) (tptp.p X2) (tptp.p (tptp.fy X2)) (tptp.q W4))) (forall ((X7 $$unsorted) (W9 $$unsorted)) (or (not (tptp.p X7)) (not (tptp.p (tptp.fy5 X7))) (tptp.p tptp.cx) (tptp.q tptp.cw) (tptp.q W9) (tptp.q (tptp.fz5 W9)))) _let_2 (forall ((W9 $$unsorted) (X7 $$unsorted)) (or (not (tptp.q W9)) (not (tptp.q (tptp.fz5 W9))) (tptp.p tptp.cx) (tptp.p X7) (tptp.p (tptp.fy5 X7)) (tptp.q tptp.cw))) _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.56 )
% 0.20/0.56 % SZS output end Proof for SYN036-4
% 0.20/0.57 % cvc5---1.0.5 exiting
% 0.20/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------