%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL095-1 : TPTP v8.1.2. Released v2.7.0.
% 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 18:23:25 EDT 2023

% Result   : Unsatisfiable 30.65s 31.01s
% Output   : Proof 30.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COL095-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun Aug 27 04:26:43 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9t1N23ghHd/cvc5---1.0.5_17871.p...
% 0.21/0.51  ------- get file name : TPTP file name is COL095-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17871.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.70  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.52/15.75  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.58/20.81  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.50/25.83  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.65/30.92  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 30.65/31.01  % SZS status Unsatisfiable for COL095-1
% 30.65/31.01  % SZS output start Proof for COL095-1
% 30.65/31.01  (
% 30.65/31.01  (let ((_let_1 (forall ((Z $$unsorted)) (or (not (tptp.member (tptp.pair tptp.p Z) tptp.parcontract)) (not (tptp.member (tptp.pair tptp.yp Z) tptp.parcontract)))))) (let ((_let_2 (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK tptp.p) tptp.q) tptp.yp) tptp.parcontract))) (let ((_let_3 (tptp.member tptp.q tptp.comb))) (let ((_let_4 (tptp.member tptp.p tptp.comb))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.member (tptp.pair A B) tptp.parcontract)) (tptp.member B tptp.comb))))) (let ((_let_6 (forall ((C $$unsorted)) (or (not (= tptp.combS C)) (= C (tptp.inr (tptp.inl tptp.eptset))))))) (let ((_let_7 (forall ((C $$unsorted)) (or (not (= tptp.combK C)) (= C (tptp.inl tptp.eptset)))))) (let ((_let_8 (forall ((P $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app tptp.combK P) R) tptp.parcontract)) (tptp.member (tptp.pair P (tptp.k1_parcontractD_sk1 P R)) tptp.parcontract))))) (let ((_let_9 (forall ((P $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app tptp.combK P) R) tptp.parcontract)) (= R (tptp.comb_app tptp.combK (tptp.k1_parcontractD_sk1 P R))))))) (let ((_let_10 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c4 P Q R)) (= R (tptp.comb_app (tptp.ap_parcontractE_sk2q P Q R) (tptp.ap_parcontractE_sk2s P Q R))))))) (let ((_let_11 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c4 P Q R)) (tptp.member (tptp.pair P (tptp.ap_parcontractE_sk2q P Q R)) tptp.parcontract))))) (let ((_let_12 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c3 P Q R)) (= P (tptp.comb_app (tptp.comb_app tptp.combS (tptp.ap_parcontractE_sk1p P Q R)) (tptp.ap_parcontractE_sk1q P Q R))))))) (let ((_let_13 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c2 P Q R)) (= P (tptp.comb_app tptp.combK R)))))) (let ((_let_14 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c1 P Q R)) (= R (tptp.comb_app P Q)))))) (let ((_let_15 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app P Q) R) tptp.parcontract)) (tptp.ap_parcontractE_c1 P Q R) (tptp.ap_parcontractE_c2 P Q R) (tptp.ap_parcontractE_c3 P Q R) (tptp.ap_parcontractE_c4 P Q R))))) (let ((_let_16 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK P) Q) P) tptp.parcontract))))) (let ((_let_17 (forall ((P $$unsorted)) (or (not (tptp.member P tptp.comb)) (tptp.member (tptp.pair P P) tptp.parcontract))))) (let ((_let_18 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member (tptp.comb_app P Q) tptp.comb)) (tptp.member Q tptp.comb))))) (let ((_let_19 (forall ((P1 $$unsorted) (Q1 $$unsorted) (P2 $$unsorted) (Q2 $$unsorted)) (or (not (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2))) (= Q1 Q2))))) (let ((_let_20 (forall ((P1 $$unsorted) (Q1 $$unsorted) (P2 $$unsorted) (Q2 $$unsorted)) (or (not (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2))) (= P1 P2))))) (let ((_let_21 (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combK (tptp.comb_app P Q)))))) (let ((_let_22 (tptp.inl tptp.eptset))) (let ((_let_23 (tptp.comb_app _let_22 tptp.p))) (let ((_let_24 (tptp.ap_parcontractE_sk2s _let_23 tptp.q tptp.yp))) (let ((_let_25 (tptp.ap_parcontractE_sk2q _let_23 tptp.q tptp.yp))) (let ((_let_26 (tptp.comb_app _let_25 _let_24))) (let ((_let_27 (= tptp.yp _let_26))) (let ((_let_28 (tptp.k1_parcontractD_sk1 tptp.p _let_25))) (let ((_let_29 (tptp.comb_app _let_22 _let_28))) (let ((_let_30 (= _let_25 _let_29))) (let ((_let_31 (tptp.member (tptp.pair tptp.yp _let_28) tptp.parcontract))) (let ((_let_32 (tptp.member (tptp.pair (tptp.comb_app _let_29 _let_24) _let_28) tptp.parcontract))) (let ((_let_33 (tptp.ap_parcontractE_c4 _let_23 tptp.q tptp.yp))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_27))) (let ((_let_36 (_let_10))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (tptp.ap_parcontractE_c3 _let_23 tptp.q tptp.yp))) (let ((_let_39 (tptp.ap_parcontractE_c2 _let_23 tptp.q tptp.yp))) (let ((_let_40 (tptp.ap_parcontractE_c1 _let_23 tptp.q tptp.yp))) (let ((_let_41 (tptp.comb_app _let_23 tptp.q))) (let ((_let_42 (tptp.member (tptp.pair _let_41 tptp.yp) tptp.parcontract))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_40 _let_39 _let_38 _let_33))) (let ((_let_45 (_let_15))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (tptp.ap_parcontractE_sk1q _let_23 tptp.q tptp.yp))) (let ((_let_48 (tptp.ap_parcontractE_sk1p _let_23 tptp.q tptp.yp))) (let ((_let_49 (tptp.inr _let_22))) (let ((_let_50 (tptp.comb_app _let_49 _let_48))) (let ((_let_51 (= _let_23 (tptp.comb_app _let_50 _let_47)))) (let ((_let_52 (not _let_38))) (let ((_let_53 (or _let_52 _let_51))) (let ((_let_54 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c3 P Q R)) (= P (tptp.comb_app (tptp.comb_app (tptp.inr (tptp.inl tptp.eptset)) (tptp.ap_parcontractE_sk1p P Q R)) (tptp.ap_parcontractE_sk1q P Q R))))))) (let ((_let_55 (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO _let_55 :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (= _let_22 _let_50))) (let ((_let_58 (not _let_51))) (let ((_let_59 (or _let_58 _let_57))) (let ((_let_60 (_let_20))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (forall ((P $$unsorted) (Q $$unsorted)) (not (= (tptp.comb_app P Q) (tptp.inl tptp.eptset)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO _let_55 :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (= _let_23 (tptp.comb_app _let_22 tptp.yp)))) (let ((_let_65 (not _let_39))) (let ((_let_66 (or _let_65 _let_64))) (let ((_let_67 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c2 P Q R)) (= P (tptp.comb_app (tptp.inl tptp.eptset) R)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO _let_55 :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (= tptp.p tptp.yp))) (let ((_let_70 (not _let_64))) (let ((_let_71 (or _let_70 _let_69))) (let ((_let_72 (_let_19))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (tptp.member (tptp.pair tptp.p tptp.p) tptp.parcontract))) (let ((_let_75 (tptp.member (tptp.pair tptp.p tptp.yp) tptp.parcontract))) (let ((_let_76 (not _let_69))) (let ((_let_77 (not _let_4))) (let ((_let_78 (or _let_77 _let_74))) (let ((_let_79 (_let_17))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (ASSUME :args (_let_4)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_74 (not _let_78)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.p QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member P tptp.comb) false))))) :args _let_79)) _let_80 :args (_let_78 false _let_17)) :args (_let_74 false _let_4 false _let_78)))) (let ((_let_83 (tptp.member (tptp.pair tptp.yp tptp.yp) tptp.parcontract))) (let ((_let_84 (not _let_83))) (let ((_let_85 (not _let_75))) (let ((_let_86 (or _let_85 _let_84))) (let ((_let_87 (_let_1))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (tptp.member tptp.yp tptp.comb))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_83))) (let ((_let_92 (or _let_43 _let_89))) (let ((_let_93 (_let_5))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((not (= (tptp.member (tptp.pair A B) tptp.parcontract) false))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO _let_55 :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_43 _let_89 (not _let_92)))) _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_41 tptp.yp QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_92 false _let_5)) :args (_let_89 false _let_42 false _let_92)))) (let ((_let_98 (or))) (let ((_let_99 (not _let_74))) (let ((_let_100 (ASSUME :args (_let_74)))) (let ((_let_101 (APPLY_UF tptp.member))) (let ((_let_102 (REFL :args (tptp.parcontract)))) (let ((_let_103 (APPLY_UF tptp.pair))) (let ((_let_104 (ASSUME :args (_let_69)))) (let ((_let_105 (REFL :args (tptp.p)))) (let ((_let_106 (ASSUME :args (_let_85)))) (let ((_let_107 (= tptp.yp _let_41))) (let ((_let_108 (not _let_40))) (let ((_let_109 (or _let_108 _let_107))) (let ((_let_110 (_let_14))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (tptp.member (tptp.pair tptp.yp tptp.p) tptp.parcontract))) (let ((_let_113 (tptp.member (tptp.pair _let_41 tptp.p) tptp.parcontract))) (let ((_let_114 (not _let_107))) (let ((_let_115 (not _let_112))) (let ((_let_116 (or _let_99 _let_115))) (let ((_let_117 ((not (= (tptp.member (tptp.pair tptp.p Z) tptp.parcontract) false))))) (let ((_let_118 (not _let_3))) (let ((_let_119 (or _let_77 _let_118 _let_113))) (let ((_let_120 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.inl tptp.eptset) P) Q) P) tptp.parcontract))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO _let_55 :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 (ASSUME :args (_let_115)))) (let ((_let_124 (ASSUME :args (_let_107)))) (let ((_let_125 (ASSUME :args (_let_113)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_40 _let_39 _let_38 _let_33 (not _let_44)))) _let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_108 _let_107 (not _let_109)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_123 _let_124 _let_125) :args (_let_107 _let_115 _let_113)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_125)) (CONG (CONG (SYMM _let_124) _let_105 :args _let_103) _let_102 :args _let_101) (FALSE_INTRO _let_123))) :args (_let_115 _let_107 _let_113)) :args ((not (and _let_107 _let_115 _let_113)) SB_LITERAL))) (CONG (REFL :args (_let_114)) (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_112))) (REFL :args ((not _let_113))) :args _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_77 _let_118 _let_113 (not _let_119)))) _let_81 (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.p tptp.q QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_122)) _let_121 :args (_let_119 false _let_120)) :args (_let_113 false _let_4 false _let_3 false _let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_99 _let_115 (not _let_116)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.p QUANTIFIERS_INST_E_MATCHING _let_117)) :args _let_87)) _let_88 :args (_let_116 false _let_1)) :args (_let_115 false _let_74 false _let_116)) :args (_let_114 false _let_113 true _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_23 tptp.q tptp.yp QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_111 :args (_let_109 false _let_14)) :args (_let_108 true _let_107 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_64 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_69 (not _let_71)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_100 _let_104 _let_106) :args (_let_74 _let_85 _let_69)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_106)) (CONG (CONG _let_105 (SYMM _let_104) :args _let_103) _let_102 :args _let_101) (TRUE_INTRO _let_100))) :args (_let_74 _let_69 _let_85)) :args ((not (and _let_74 _let_85 _let_69)) SB_LITERAL))) (CONG (REFL :args (_let_99)) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_75))) (REFL :args (_let_76)) :args _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_84 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_83 (not _let_91)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.yp QUANTIFIERS_INST_CBQI_PROP)) :args _let_79)) _let_80 :args (_let_91 false _let_17)) :args (_let_83 false _let_89 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.yp QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.pair tptp.yp Z) tptp.parcontract) false))))) :args _let_87)) _let_88 :args (_let_86 false _let_1)) :args (_let_85 false _let_83 false _let_86)) _let_82 :args (_let_76 true _let_75 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_22 tptp.p _let_22 tptp.yp QUANTIFIERS_INST_CBQI_PROP)) :args _let_72)) _let_73 :args (_let_71 false _let_19)) :args (_let_70 true _let_69 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_23 tptp.q tptp.yp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ap_parcontractE_c2 P Q R) false))))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_65 true _let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_51 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_57 (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_49 _let_48 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_62)))) _let_63 :args ((not _let_57) false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_22 tptp.p _let_50 _let_47 QUANTIFIERS_INST_CBQI_PROP)) :args _let_60)) _let_61 :args (_let_59 false _let_20)) :args (_let_58 true _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_23 tptp.q tptp.yp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ap_parcontractE_c3 P Q R) false))))) :args (_let_54))) _let_56 :args (_let_53 false _let_54)) :args (_let_52 true _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_23 tptp.q tptp.yp QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.pair (tptp.comb_app P Q) R) tptp.parcontract) false))))) :args _let_45)) _let_46 :args (_let_44 false _let_15)) :args (_let_33 false _let_42 true _let_40 true _let_39 true _let_38 false _let_44)))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_27 (not _let_35)))) _let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_23 tptp.q tptp.yp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ap_parcontractE_c4 P Q R) false))))) :args _let_36)) _let_37 :args (_let_35 false _let_10)) :args (_let_27 false _let_33 false _let_35)))) (let ((_let_128 (tptp.member (tptp.pair _let_23 _let_25) tptp.parcontract))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 _let_30))) (let ((_let_131 (forall ((P $$unsorted) (R $$unsorted)) (let ((_let_1 (tptp.inl tptp.eptset))) (or (not (tptp.member (tptp.pair (tptp.comb_app _let_1 P) R) tptp.parcontract)) (= R (tptp.comb_app _let_1 (tptp.k1_parcontractD_sk1 P R)))))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO _let_55 :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (or _let_34 _let_128))) (let ((_let_134 (_let_11))) (let ((_let_135 (ASSUME :args _let_134))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_34 _let_128 (not _let_133)))) _let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (_let_23 tptp.q tptp.yp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ap_parcontractE_c4 P Q R) false))))) :args _let_134)) _let_135 :args (_let_133 false _let_11)) :args (_let_128 false _let_33 false _let_133)))) (let ((_let_137 (not _let_31))) (let ((_let_138 (tptp.member (tptp.pair tptp.p _let_28) tptp.parcontract))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_139 _let_137))) (let ((_let_141 (or _let_129 _let_138))) (let ((_let_142 (forall ((P $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app (tptp.inl tptp.eptset) P) R) tptp.parcontract)) (tptp.member (tptp.pair P (tptp.k1_parcontractD_sk1 P R)) tptp.parcontract))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO _let_55 :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_129 _let_138 (not _let_141)))) _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.p _let_25 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.pair (tptp.comb_app _let_22 P) R) tptp.parcontract) false))))) :args (_let_142))) _let_143 :args (_let_141 false _let_142)) :args (_let_138 false _let_128 false _let_141)))) (let ((_let_145 (tptp.member _let_24 tptp.comb))) (let ((_let_146 (not _let_145))) (let ((_let_147 (tptp.member _let_28 tptp.comb))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_148 _let_146 _let_32))) (let ((_let_150 (or _let_139 _let_147))) (let ((_let_151 (tptp.member _let_26 tptp.comb))) (let ((_let_152 (not _let_151))) (let ((_let_153 (or _let_152 _let_145))) (let ((_let_154 (_let_18))) (let ((_let_155 (ASSUME :args _let_154))) (let ((_let_156 (and _let_89 _let_27))) (let ((_let_157 (_let_89 _let_27))) (let ((_let_158 (ASSUME :args (_let_89)))) (let ((_let_159 (ASSUME :args (_let_27)))) (let ((_let_160 (SYMM (SYMM _let_159)))) (let ((_let_161 (ASSUME :args (_let_32)))) (let ((_let_162 (ASSUME :args (_let_30)))) (let ((_let_163 (ASSUME :args (_let_137)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_161 _let_162 _let_159 _let_163) :args (_let_27 _let_30 _let_137 _let_32)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_163)) (CONG (CONG (TRANS _let_160 (CONG (SYMM (SYMM _let_162)) (REFL :args (_let_24)) :args (APPLY_UF tptp.comb_app))) (REFL :args (_let_28)) :args _let_103) _let_102 :args _let_101) (TRUE_INTRO _let_161))) :args (_let_32 _let_30 _let_27 _let_137)) :args ((not (and _let_27 _let_30 _let_137 _let_32)) SB_LITERAL))) (CONG (REFL :args ((not _let_27))) (REFL :args ((not _let_30))) (MACRO_SR_PRED_INTRO :args ((= (not _let_137) _let_31))) (REFL :args ((not _let_32))) :args _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_146 _let_148 _let_32 (not _let_149)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_152 _let_145 (not _let_153)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_156)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_158 _let_159) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_160) (REFL :args (tptp.comb)) :args _let_101) (TRUE_INTRO _let_158))) :args _let_157)) :args _let_157)) :args (true _let_156)) _let_97 _let_127 :args (_let_151 false _let_89 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_25 _let_24 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.comb_app P Q) tptp.comb) false))))) :args _let_154)) _let_155 :args (_let_153 false _let_18)) :args (_let_145 false _let_151 false _let_153)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_139 _let_147 (not _let_150)))) _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.p _let_28 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_150 false _let_5)) :args (_let_147 false _let_138 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_28 _let_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_122)) _let_121 :args (_let_149 false _let_120)) :args (_let_32 false _let_145 false _let_147 false _let_149)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_139 _let_137 (not _let_140)))) _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_28 QUANTIFIERS_INST_E_MATCHING _let_117)) :args _let_87)) _let_88 :args (_let_140 false _let_1)) :args (_let_137 false _let_138 false _let_140)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_129 _let_30 (not _let_130)))) _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.p _let_25 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.pair (tptp.comb_app _let_22 P) R) tptp.parcontract) false))))) :args (_let_131))) _let_132 :args (_let_130 false _let_131)) :args (_let_30 false _let_128 false _let_130)) _let_127 :args (false false _let_32 true _let_31 false _let_30 false _let_27)) :args ((not (= tptp.combK tptp.combS)) _let_21 (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combS (tptp.comb_app P Q)))) _let_20 _let_19 (forall ((P1 $$unsorted) (P2 $$unsorted) (Q1 $$unsorted) (Q2 $$unsorted)) (or (not (= P1 P2)) (not (= Q1 Q2)) (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member (tptp.comb_app P Q) tptp.comb)) (tptp.member P tptp.comb))) _let_18 (tptp.member tptp.combK tptp.comb) (tptp.member tptp.combS tptp.comb) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (tptp.member (tptp.comb_app P Q) tptp.comb))) (forall ((A $$unsorted)) (or (not (tptp.member A tptp.comb)) (tptp.member (tptp.pair A A) (tptp.rtrancl tptp.contract)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK P) Q) P) tptp.contract))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (not (tptp.member R tptp.comb)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS P) Q) R) (tptp.comb_app (tptp.comb_app P R) (tptp.comb_app Q R))) tptp.contract))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app P Q) R) tptp.contract)) (tptp.ap_contractE_c1 P Q R) (tptp.ap_contractE_c2 P Q R) (tptp.ap_contractE_c3 P Q R) (tptp.ap_contractE_c4 P Q R))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (tptp.member R tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (tptp.member Q tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (= P (tptp.comb_app tptp.combK R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (tptp.member (tptp.ap_contractE_sk1p P Q R) tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (tptp.member (tptp.ap_contractE_sk1q P Q R) tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (tptp.member Q tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (= R (tptp.comb_app (tptp.comb_app (tptp.ap_contractE_sk1p P Q R) Q) (tptp.comb_app (tptp.ap_contractE_sk1q P Q R) Q))))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (= P (tptp.comb_app (tptp.comb_app tptp.combS (tptp.ap_contractE_sk1p P Q R)) (tptp.ap_contractE_sk1q P Q R))))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (tptp.member (tptp.pair P (tptp.ap_contractE_sk2q P Q R)) tptp.contract))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (tptp.member Q tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (= R (tptp.comb_app (tptp.ap_contractE_sk2q P Q R) Q)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (tptp.member (tptp.pair Q (tptp.ap_contractE_sk3q P Q R)) tptp.contract))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (tptp.member P tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (= R (tptp.comb_app P (tptp.ap_contractE_sk3q P Q R))))) (forall ((R $$unsorted)) (not (tptp.member (tptp.pair tptp.combK R) tptp.contract))) (forall ((R $$unsorted)) (not (tptp.member (tptp.pair tptp.combS R) tptp.contract))) _let_17 _let_16 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (not (tptp.member R tptp.comb)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS P) Q) R) (tptp.comb_app (tptp.comb_app P R) (tptp.comb_app Q R))) tptp.parcontract))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted) (S $$unsorted)) (or (not (tptp.member (tptp.pair P Q) tptp.parcontract)) (not (tptp.member (tptp.pair R S) tptp.parcontract)) (tptp.member (tptp.pair (tptp.comb_app P R) (tptp.comb_app Q S)) tptp.parcontract))) (forall ((R $$unsorted)) (or (not (tptp.member (tptp.pair tptp.combK R) tptp.parcontract)) (tptp.member tptp.combK tptp.comb))) (forall ((R $$unsorted)) (or (not (tptp.member (tptp.pair tptp.combK R) tptp.parcontract)) (= R tptp.combK))) (forall ((R $$unsorted)) (or (not (tptp.member (tptp.pair tptp.combS R) tptp.parcontract)) (tptp.member tptp.combS tptp.comb))) (forall ((R $$unsorted)) (or (not (tptp.member (tptp.pair tptp.combS R) tptp.parcontract)) (= R tptp.combS))) _let_15 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c1 P Q R)) (tptp.member (tptp.comb_app P Q) tptp.comb))) _let_14 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c2 P Q R)) (tptp.member R tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c2 P Q R)) (tptp.member Q tptp.comb))) _let_13 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c3 P Q R)) (tptp.member (tptp.ap_parcontractE_sk1p P Q R) tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c3 P Q R)) (tptp.member (tptp.ap_parcontractE_sk1q P Q R) tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c3 P Q R)) (tptp.member Q tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c3 P Q R)) (= R (tptp.comb_app (tptp.comb_app (tptp.ap_parcontractE_sk1p P Q R) Q) (tptp.comb_app (tptp.ap_parcontractE_sk1q P Q R) Q))))) _let_12 _let_11 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c4 P Q R)) (tptp.member (tptp.pair Q (tptp.ap_parcontractE_sk2s P Q R)) tptp.parcontract))) _let_10 _let_9 _let_8 (forall ((P $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app tptp.combS P) R) tptp.parcontract)) (= R (tptp.comb_app tptp.combS (tptp.s1_parcontractD_sk1 P R))))) (forall ((P $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app tptp.combS P) R) tptp.parcontract)) (tptp.member (tptp.pair P (tptp.s1_parcontractD_sk1 P R)) tptp.parcontract))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combS P) Q) R) tptp.parcontract)) (= R (tptp.comb_app (tptp.comb_app tptp.combS (tptp.s2_parcontractD_sk1p P Q R)) (tptp.s2_parcontractD_sk1q P Q R))))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combS P) Q) R) tptp.parcontract)) (tptp.member (tptp.pair P (tptp.s2_parcontractD_sk1p P Q R)) tptp.parcontract))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combS P) Q) R) tptp.parcontract)) (tptp.member (tptp.pair Q (tptp.s2_parcontractD_sk1q P Q R)) tptp.parcontract))) _let_7 _let_6 (forall ((P $$unsorted) (Q $$unsorted) (C $$unsorted)) (or (not (= (tptp.comb_app P Q) C)) (= C (tptp.inr (tptp.inr (tptp.pair P Q)))))) _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.65/31.01  )
% 30.65/31.01  % SZS output end Proof for COL095-1
% 30.65/31.02  % cvc5---1.0.5 exiting
% 30.65/31.02  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------