TSTP Solution File: COL094-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL094-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 30.72s 30.98s
% Output : Proof 30.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : COL094-1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.15 % Command : do_cvc5 %s %d
% 0.14/0.37 % Computer : n002.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun Aug 27 04:19:18 EDT 2023
% 0.22/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8t4bgASZIb/cvc5---1.0.5_8715.p...
% 0.22/0.53 ------- get file name : TPTP file name is COL094-1
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8715.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.51/10.70 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.55/15.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.59/20.80 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.61/25.84 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.66/30.89 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 30.72/30.98 % SZS status Unsatisfiable for COL094-1
% 30.72/30.98 % SZS output start Proof for COL094-1
% 30.72/30.99 (
% 30.72/30.99 (let ((_let_1 (forall ((PP $$unsorted) (QP $$unsorted)) (or (not (= tptp.r (tptp.comb_app (tptp.comb_app tptp.combS PP) QP))) (not (tptp.member (tptp.pair tptp.p PP) tptp.parcontract)) (not (tptp.member (tptp.pair tptp.q QP) tptp.parcontract)))))) (let ((_let_2 (tptp.comb_app tptp.combS tptp.p))) (let ((_let_3 (tptp.comb_app _let_2 tptp.q))) (let ((_let_4 (tptp.member (tptp.pair _let_3 tptp.r) tptp.parcontract))) (let ((_let_5 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c4 P Q R)) (= R (tptp.comb_app (tptp.ap_parcontractE_sk2q P Q R) (tptp.ap_parcontractE_sk2s P Q R))))))) (let ((_let_6 (forall ((P $$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 ((_let_7 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c4 P Q R)) (tptp.member (tptp.pair P (tptp.ap_parcontractE_sk2q P Q R)) tptp.parcontract))))) (let ((_let_8 (forall ((P $$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_9 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c3 P Q R)) (tptp.member Q tptp.comb))))) (let ((_let_10 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c2 P Q R)) (= P (tptp.comb_app tptp.combK R)))))) (let ((_let_11 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c2 P Q R)) (tptp.member Q tptp.comb))))) (let ((_let_12 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c1 P Q R)) (= R (tptp.comb_app P Q)))))) (let ((_let_13 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c1 P Q R)) (tptp.member (tptp.comb_app P Q) tptp.comb))))) (let ((_let_14 (forall ((P $$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_15 (forall ((R $$unsorted)) (or (not (tptp.member (tptp.pair tptp.combS R) tptp.parcontract)) (= R tptp.combS))))) (let ((_let_16 (forall ((P $$unsorted)) (or (not (tptp.member P tptp.comb)) (tptp.member (tptp.pair P P) tptp.parcontract))))) (let ((_let_17 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member (tptp.comb_app P Q) tptp.comb)) (tptp.member Q tptp.comb))))) (let ((_let_18 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member (tptp.comb_app P Q) tptp.comb)) (tptp.member P 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))) (= P1 P2))))) (let ((_let_20 (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combS (tptp.comb_app P Q)))))) (let ((_let_21 (not (= tptp.combK tptp.combS)))) (let ((_let_22 (tptp.ap_parcontractE_sk2q _let_2 tptp.q tptp.r))) (let ((_let_23 (tptp.ap_parcontractE_sk1q tptp.combS tptp.p _let_22))) (let ((_let_24 (tptp.comb_app tptp.combS (tptp.ap_parcontractE_sk1p tptp.combS tptp.p _let_22)))) (let ((_let_25 (= tptp.combS (tptp.comb_app _let_24 _let_23)))) (let ((_let_26 (_let_20))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.ap_parcontractE_c3 tptp.combS tptp.p _let_22))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_25))) (let ((_let_31 (_let_8))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 ((not (= (tptp.ap_parcontractE_c3 P Q R) false))))) (let ((_let_34 (tptp.ap_parcontractE_c4 tptp.combS tptp.p _let_22))) (let ((_let_35 (tptp.ap_parcontractE_c2 tptp.combS tptp.p _let_22))) (let ((_let_36 (tptp.ap_parcontractE_c1 tptp.combS tptp.p _let_22))) (let ((_let_37 (tptp.member (tptp.pair _let_2 _let_22) tptp.parcontract))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_35 _let_28 _let_34))) (let ((_let_40 (_let_14))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((not (= (tptp.member (tptp.pair (tptp.comb_app P Q) R) tptp.parcontract) false))))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.combS tptp.p _let_22 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_39 false _let_14)))) (let ((_let_44 (tptp.ap_parcontractE_sk2q tptp.combS tptp.p _let_22))) (let ((_let_45 (tptp.member (tptp.pair tptp.combS _let_44) tptp.parcontract))) (let ((_let_46 (not _let_34))) (let ((_let_47 (or _let_46 _let_45))) (let ((_let_48 (tptp.ap_parcontractE_sk2s tptp.combS tptp.p _let_22))) (let ((_let_49 (tptp.member (tptp.pair tptp.p _let_48) tptp.parcontract))) (let ((_let_50 (or _let_46 _let_49))) (let ((_let_51 (= _let_22 (tptp.comb_app _let_44 _let_48)))) (let ((_let_52 (or _let_46 _let_51))) (let ((_let_53 (= tptp.combS _let_44))) (let ((_let_54 (not _let_45))) (let ((_let_55 (or _let_54 _let_53))) (let ((_let_56 (tptp.ap_parcontractE_sk2s _let_2 tptp.q tptp.r))) (let ((_let_57 (tptp.member (tptp.pair tptp.q _let_56) tptp.parcontract))) (let ((_let_58 (not _let_57))) (let ((_let_59 (not _let_49))) (let ((_let_60 (= tptp.r (tptp.comb_app (tptp.comb_app tptp.combS _let_48) _let_56)))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59 _let_58))) (let ((_let_63 (= tptp.r (tptp.comb_app _let_22 _let_56)))) (let ((_let_64 (_let_7))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 ((not (= (tptp.ap_parcontractE_c4 P Q R) false))))) (let ((_let_67 (_let_6))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 ((not (= (tptp.ap_parcontractE_c4 P Q R) false))))) (let ((_let_70 (_let_5))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 ((not (= (tptp.ap_parcontractE_c4 P Q R) false))))) (let ((_let_73 (forall ((R $$unsorted)) (or (not (tptp.member (tptp.pair tptp.combS R) tptp.parcontract)) (= tptp.combS R))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (tptp.ap_parcontractE_c4 _let_2 tptp.q tptp.r))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_57))) (let ((_let_78 (tptp.ap_parcontractE_c3 _let_2 tptp.q tptp.r))) (let ((_let_79 (tptp.ap_parcontractE_c2 _let_2 tptp.q tptp.r))) (let ((_let_80 (tptp.ap_parcontractE_c1 _let_2 tptp.q tptp.r))) (let ((_let_81 (not _let_4))) (let ((_let_82 (or _let_81 _let_80 _let_79 _let_78 _let_75))) (let ((_let_83 (tptp.ap_parcontractE_sk1q _let_2 tptp.q tptp.r))) (let ((_let_84 (tptp.ap_parcontractE_sk1p _let_2 tptp.q tptp.r))) (let ((_let_85 (tptp.comb_app tptp.combS _let_84))) (let ((_let_86 (= _let_2 (tptp.comb_app _let_85 _let_83)))) (let ((_let_87 (not _let_78))) (let ((_let_88 (or _let_87 _let_86))) (let ((_let_89 (= tptp.combS _let_85))) (let ((_let_90 (not _let_86))) (let ((_let_91 (or _let_90 _let_89))) (let ((_let_92 (_let_19))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (= _let_2 (tptp.comb_app tptp.combK tptp.r)))) (let ((_let_95 (not _let_79))) (let ((_let_96 (or _let_95 _let_94))) (let ((_let_97 (_let_10))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 ((not (= (tptp.ap_parcontractE_c2 P Q R) false))))) (let ((_let_100 (= tptp.combS tptp.combK))) (let ((_let_101 (not _let_94))) (let ((_let_102 (or _let_101 _let_100))) (let ((_let_103 (= tptp.r _let_3))) (let ((_let_104 (not _let_80))) (let ((_let_105 (or _let_104 _let_103))) (let ((_let_106 (tptp.member _let_3 tptp.comb))) (let ((_let_107 (or _let_104 _let_106))) (let ((_let_108 (tptp.member tptp.q tptp.comb))) (let ((_let_109 (not _let_106))) (let ((_let_110 (or _let_109 _let_108))) (let ((_let_111 (tptp.member _let_2 tptp.comb))) (let ((_let_112 (or _let_109 _let_111))) (let ((_let_113 (tptp.member (tptp.pair tptp.q tptp.q) tptp.parcontract))) (let ((_let_114 (not _let_108))) (let ((_let_115 (or _let_114 _let_113))) (let ((_let_116 (tptp.member tptp.p tptp.comb))) (let ((_let_117 (not _let_111))) (let ((_let_118 (or _let_117 _let_116))) (let ((_let_119 (not _let_113))) (let ((_let_120 (tptp.member (tptp.pair tptp.p tptp.p) tptp.parcontract))) (let ((_let_121 (not _let_120))) (let ((_let_122 (not _let_103))) (let ((_let_123 (or _let_122 _let_121 _let_119))) (let ((_let_124 (not _let_116))) (let ((_let_125 (or _let_124 _let_120))) (let ((_let_126 (_let_12))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (_let_13))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 (_let_17))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 (_let_18))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 (_let_16))) (let ((_let_135 (ASSUME :args _let_134))) (let ((_let_136 ((not (= (tptp.member (tptp.pair P P) tptp.parcontract) true))))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.combS tptp.p QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_130)) _let_131 :args (_let_118 false _let_17)))) (let ((_let_138 (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_116 _let_117 (not _let_118)))))) (let ((_let_139 (_let_1))) (let ((_let_140 (ASSUME :args _let_139))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.p QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_134)) _let_135 :args (_let_125 false _let_16)))) (let ((_let_142 (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_120 _let_124 (not _let_125)))))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_80 _let_79 _let_78 _let_75 (not _let_82)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST _let_142 _let_141 (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_122 _let_121 _let_119 (not _let_123)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (tptp.p tptp.q QUANTIFIERS_INST_E_MATCHING ((tptp.comb_app (tptp.comb_app tptp.combS PP) QP)))) :args _let_139)) _let_140 :args (_let_123 false _let_1)) _let_138 _let_137 (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_113 _let_114 (not _let_115)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.q QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_134)) _let_135 :args (_let_115 false _let_16)) (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_109 _let_111 (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_2 tptp.q QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.comb_app P Q) tptp.comb) false))))) :args _let_132)) _let_133 :args (_let_112 false _let_18)) (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_108 _let_109 (not _let_110)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (_let_2 tptp.q QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_130)) _let_131 :args (_let_110 false _let_17)) (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_104 _let_106 (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_2 tptp.q tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ap_parcontractE_c1 P Q R) false))))) :args _let_128)) _let_129 :args (_let_107 false _let_13)) (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_103 _let_104 (not _let_105)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (_let_2 tptp.q tptp.r QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_126)) _let_127 :args (_let_105 false _let_12)) :args (_let_104 false _let_125 true _let_120 false _let_123 false _let_116 false _let_118 false _let_113 false _let_115 false _let_111 false _let_112 false _let_108 false _let_110 false _let_106 false _let_107 false _let_103 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_94 (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_100 _let_101 (not _let_102)))) (SYMM (ASSUME :args (_let_21))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.combS tptp.p tptp.combK tptp.r QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_92)) _let_93 :args (_let_102 false _let_19)) :args (_let_101 true _let_100 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_2 tptp.q tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_97)) _let_98 :args (_let_96 false _let_10)) :args (_let_95 true _let_94 false _let_96)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_86 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_89 (not _let_91)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.combS _let_84 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.comb_app P Q)))) :args _let_26)) _let_27 :args ((not _let_89) false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.combS tptp.p _let_85 _let_83 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_92)) _let_93 :args (_let_91 false _let_19)) :args (_let_90 true _let_89 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_2 tptp.q tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_88 false _let_8)) :args (_let_87 true _let_86 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_2 tptp.q tptp.r QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_82 false _let_14)) :args (_let_75 false _let_4 true _let_80 true _let_79 true _let_78 false _let_82)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_57 (not _let_77)))) _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_2 tptp.q tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67)) _let_68 :args (_let_77 false _let_6)) :args (_let_57 false _let_75 false _let_77)))) (let ((_let_145 (or _let_76 _let_63))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_76 _let_63 (not _let_145)))) _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_2 tptp.q tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_70)) _let_71 :args (_let_145 false _let_5)) :args (_let_63 false _let_75 false _let_145)))) (let ((_let_147 (and _let_63 _let_51 _let_53))) (let ((_let_148 (APPLY_UF tptp.comb_app))) (let ((_let_149 (REFL :args (_let_56)))) (let ((_let_150 (ASSUME :args (_let_53)))) (let ((_let_151 (ASSUME :args (_let_51)))) (let ((_let_152 (ASSUME :args (_let_63)))) (let ((_let_153 (SYMM (SYMM _let_152)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_147)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_150 _let_151 _let_152) (SCOPE (TRANS _let_153 (CONG (TRANS (SYMM (SYMM _let_151)) (CONG (SYMM _let_150) (REFL :args (_let_48)) :args _let_148)) _let_149 :args _let_148)) :args (_let_53 _let_51 _let_63))) :args (_let_63 _let_51 _let_53))) :args (true _let_147)) _let_146 (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_58 _let_59 _let_61 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (_let_48 _let_56 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_139)) _let_140 :args (_let_62 false _let_1)) _let_144 (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_53 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_44 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_73))) _let_74 :args (_let_55 false _let_73)) (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_46 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.combS tptp.p _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_70)) _let_71 :args (_let_52 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_46 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.combS tptp.p _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67)) _let_68 :args (_let_50 false _let_6)) (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_45 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.combS tptp.p _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_47 false _let_7)) :args (_let_46 false _let_63 true _let_60 false _let_62 false _let_57 false _let_53 false _let_55 false _let_51 false _let_52 false _let_49 false _let_50 false _let_45 false _let_47)))) (let ((_let_155 (= tptp.combS (tptp.comb_app tptp.combK _let_22)))) (let ((_let_156 (not _let_35))) (let ((_let_157 (or _let_156 _let_155))) (let ((_let_158 (= _let_2 _let_22))) (let ((_let_159 (not _let_36))) (let ((_let_160 (or _let_159 _let_158))) (let ((_let_161 (= tptp.r (tptp.comb_app _let_2 _let_56)))) (let ((_let_162 (not _let_158))) (let ((_let_163 (not _let_161))) (let ((_let_164 (or _let_163 _let_121 _let_58))) (let ((_let_165 (or _let_156 _let_116))) (let ((_let_166 (or _let_29 _let_116))) (let ((_let_167 (or _let_159 _let_111))) (let ((_let_168 (_let_11))) (let ((_let_169 (ASSUME :args _let_168))) (let ((_let_170 (tptp.combS tptp.p _let_22 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_171 (_let_9))) (let ((_let_172 (ASSUME :args _let_171))) (let ((_let_173 (or _let_76 _let_37))) (let ((_let_174 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_76 _let_37 (not _let_173)))) _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_2 tptp.q tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_173 false _let_7)) :args (_let_37 false _let_75 false _let_173)))) (let ((_let_175 (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_36 _let_35 _let_28 _let_34 (not _let_39)))))) (let ((_let_176 (and _let_63 _let_158))) (let ((_let_177 (ASSUME :args (_let_158)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_24 _let_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_25 (not _let_30)))) (MACRO_RESOLUTION_TRUST _let_175 _let_174 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_159 _let_158 (not _let_160)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_176)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_177 _let_152) (SCOPE (TRANS _let_153 (CONG (SYMM _let_177) _let_149 :args _let_148)) :args (_let_158 _let_63))) :args (_let_63 _let_158))) :args (true _let_176)) :args ((or (not _let_63) _let_161 _let_162))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_121 _let_58 _let_163 (not _let_164)))) (MACRO_RESOLUTION_TRUST _let_142 (MACRO_RESOLUTION_TRUST _let_175 _let_174 _let_154 _let_43 (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_111 _let_159 (not _let_167)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args _let_170) :args _let_128)) _let_129 :args (_let_167 false _let_13)) (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_116 _let_29 (not _let_166)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args _let_170) :args _let_171)) _let_172 :args (_let_166 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_165)) :args ((or _let_116 _let_156 (not _let_165)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args _let_170) :args _let_168)) _let_169 :args (_let_165 false _let_11)) _let_138 _let_137 :args (_let_116 false _let_37 true _let_34 false _let_39 true _let_36 false _let_167 true _let_28 false _let_166 true _let_35 false _let_165 true _let_111 false _let_118)) _let_141 :args (_let_120 false _let_116 false _let_125)) _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (tptp.p _let_56 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.pair tptp.p PP) tptp.parcontract) false)) (not (= (tptp.member (tptp.pair tptp.q QP) tptp.parcontract) false))))) :args _let_139)) _let_140 :args (_let_164 false _let_1)) :args (_let_163 false _let_120 false _let_57 false _let_164)) _let_146 :args (_let_162 true _let_161 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.combS tptp.p _let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_126))) _let_127 :args (_let_160 false _let_12)) :args (_let_159 true _let_158 false _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_156 _let_155 (not _let_157)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.combK _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_26)) _let_27 :args ((not _let_155) false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.combS tptp.p _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_97)) _let_98 :args (_let_157 false _let_10)) :args (_let_156 true _let_155 false _let_157)) _let_154 _let_43 :args (_let_28 false _let_37 true _let_36 true _let_35 true _let_34 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.combS tptp.p _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_30 false _let_8)) :args (_let_25 false _let_28 false _let_30)) _let_27 :args (false false _let_25 false _let_20)) :args (_let_21 (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combK (tptp.comb_app P Q)))) _let_20 _let_19 (forall ((P1 $$unsorted) (Q1 $$unsorted) (P2 $$unsorted) (Q2 $$unsorted)) (or (not (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2))) (= Q1 Q2))) (forall ((P1 $$unsorted) (P2 $$unsorted) (Q1 $$unsorted) (Q2 $$unsorted)) (or (not (= P1 P2)) (not (= Q1 Q2)) (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2)))) _let_18 _let_17 (tptp.member tptp.combK tptp.comb) (tptp.member tptp.combS tptp.comb) (forall ((P $$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_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))) (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))) _let_15 _let_14 _let_13 _let_12 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_parcontractE_c2 P Q R)) (tptp.member R tptp.comb))) _let_11 _let_10 (forall ((P $$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 $$unsorted)) (or (not (tptp.ap_parcontractE_c3 P Q R)) (tptp.member (tptp.ap_parcontractE_sk1q P Q R) tptp.comb))) _let_9 (forall ((P $$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_8 _let_7 _let_6 _let_5 _let_4 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.72/30.99 )
% 30.72/30.99 % SZS output end Proof for COL094-1
% 30.72/30.99 % cvc5---1.0.5 exiting
% 30.72/30.99 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------