TSTP Solution File: SWC296+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC296+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Thu Aug 31 20:24:34 EDT 2023
% Result : Theorem 77.22s 77.47s
% Output : Proof 77.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : SWC296+1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.16 % Command : do_cvc5 %s %d
% 0.17/0.37 % Computer : n016.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon Aug 28 16:29:14 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 77.22/77.47 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.XpsoIfobKH/cvc5---1.0.5_32354.p...
% 77.22/77.47 ------- get file name : TPTP file name is SWC296+1
% 77.22/77.47 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32354.smt2...
% 77.22/77.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 77.22/77.47 --- Run --no-e-matching --full-saturate-quant at 5...
% 77.22/77.47 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 77.22/77.47 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 77.22/77.47 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 77.22/77.47 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 77.22/77.47 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 77.22/77.47 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 77.22/77.47 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 77.22/77.47 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 77.22/77.47 --- Run --relevant-triggers --full-saturate-quant at 5...
% 77.22/77.47 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 77.22/77.47 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 77.22/77.47 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 77.22/77.47 % SZS status Theorem for SWC296+1
% 77.22/77.47 % SZS output start Proof for SWC296+1
% 77.22/77.47 (
% 77.22/77.47 (let ((_let_1 (not (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (or (not (= V X)) (not (= U W)) (not (tptp.segmentP X W)) (not (tptp.strictorderedP W)) (forall ((Y $$unsorted)) (=> (tptp.ssItem Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (forall ((X1 $$unsorted)) (=> (tptp.ssList X1) (or (not (= (tptp.app (tptp.app Z (tptp.cons Y tptp.nil)) X1) U)) (forall ((X2 $$unsorted)) (=> (tptp.ssItem X2) (and (or (not (tptp.memberP Z X2)) (tptp.lt X2 Y)) (or (not (tptp.memberP X1 X2)) (tptp.lt Y X2)))))))))))))))))))))))) (let ((_let_2 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (not (= tptp.nil U)) (= (tptp.hd (tptp.app U V)) (tptp.hd U))))))))) (let ((_let_3 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (= tptp.nil (tptp.app U V)) (and (= tptp.nil V) (= tptp.nil U))))))))) (let ((_let_4 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (= (tptp.app (tptp.app U V) W) (tptp.app U (tptp.app V W))))))))))) (let ((_let_5 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.cons V U) (tptp.app (tptp.cons V tptp.nil) U)))))))) (let ((_let_6 (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U)))))) (let ((_let_7 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (not (tptp.memberP tptp.nil U)))))) (let ((_let_8 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.lt U V) (tptp.lt V W)) (tptp.lt U W)))))))))) (let ((_let_9 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app tptp.nil U) U))))) (let ((_let_10 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (= (tptp.cons W (tptp.app V U)) (tptp.app (tptp.cons W V) U)))))))))) (let ((_let_11 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (tptp.ssList (tptp.app U V)))))))) (let ((_let_12 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.tl (tptp.cons V U)) U))))))) (let ((_let_13 (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (tptp.ssItem (tptp.hd U))))))) (let ((_let_14 (forall ((U $$unsorted)) (=> (tptp.ssList U) (or (= tptp.nil U) (exists ((V $$unsorted)) (and (tptp.ssList V) (exists ((W $$unsorted)) (and (tptp.ssItem W) (= (tptp.cons W V) U)))))))))) (let ((_let_15 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (not (= (tptp.cons V U) U)))))))) (let ((_let_16 (tptp.ssList tptp.nil))) (let ((_let_17 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (tptp.ssList (tptp.cons V U)))))))) (let ((_let_18 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.strictorderedP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (tptp.lt V W))))))))))))))))) (let ((_let_19 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.memberP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (exists ((X $$unsorted)) (and (tptp.ssList X) (= (tptp.app W (tptp.cons V X)) U)))))))))))) (let ((_let_20 (tptp.app tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_21 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_20))) (let ((_let_22 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.nil))) (let ((_let_23 (tptp.app _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_24 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22))) (let ((_let_25 (tptp.app _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_26 (= _let_25 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_23)))) (let ((_let_27 (= _let_23 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_20)))) (let ((_let_28 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))) (let ((_let_29 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_28))) (let ((_let_30 (= _let_25 (tptp.app _let_28 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_31 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_21))) (let ((_let_34 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((not (= (tptp.ssList U) false))))) (let ((_let_38 (tptp.lt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_39 (tptp.memberP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (tptp.lt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_43 (tptp.memberP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (and _let_45 _let_41))) (let ((_let_47 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.strictorderedP _let_25))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.ssList _let_25))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_54 _let_52 _let_50 _let_32 _let_48 _let_46 (not (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_25))))) (let ((_let_58 (forall ((BOUND_VARIABLE_5402 $$unsorted) (BOUND_VARIABLE_5377 $$unsorted) (BOUND_VARIABLE_5375 $$unsorted) (BOUND_VARIABLE_5373 $$unsorted) (BOUND_VARIABLE_5371 $$unsorted)) (let ((_let_1 (tptp.app (tptp.app BOUND_VARIABLE_5377 (tptp.cons BOUND_VARIABLE_5371 tptp.nil)) BOUND_VARIABLE_5373))) (or (not (tptp.ssList _let_1)) (not (tptp.strictorderedP _let_1)) (not (tptp.ssItem BOUND_VARIABLE_5371)) (not (tptp.ssList BOUND_VARIABLE_5377)) (not (tptp.ssList BOUND_VARIABLE_5373)) (not (tptp.ssItem BOUND_VARIABLE_5375)) (and (or (not (tptp.memberP BOUND_VARIABLE_5377 BOUND_VARIABLE_5375)) (tptp.lt BOUND_VARIABLE_5375 BOUND_VARIABLE_5371)) (or (not (tptp.memberP BOUND_VARIABLE_5373 BOUND_VARIABLE_5375)) (tptp.lt BOUND_VARIABLE_5371 BOUND_VARIABLE_5375))) (not (tptp.ssList BOUND_VARIABLE_5402)) (not (tptp.segmentP BOUND_VARIABLE_5402 _let_1))))))) (let ((_let_59 (not _let_57))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or))) (let ((_let_62 (not _let_58))) (let ((_let_63 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_60) :args (_let_62))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_58))) (REFL :args (_let_59)) :args _let_61)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST _let_63 _let_60 :args (_let_59 true _let_58)))) (let ((_let_65 (REFL :args (_let_57)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 4)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_61)) :args ((or _let_31 _let_57))) _let_64 :args (_let_31 true _let_57)))) (let ((_let_67 (tptp.ssList _let_22))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_50 _let_68 _let_32 _let_26))) (let ((_let_70 (forall ((U $$unsorted) (BOUND_VARIABLE_4846 $$unsorted) (BOUND_VARIABLE_4844 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_4844)) (not (tptp.ssList BOUND_VARIABLE_4846)) (= (tptp.app (tptp.app U BOUND_VARIABLE_4844) BOUND_VARIABLE_4846) (tptp.app U (tptp.app BOUND_VARIABLE_4844 BOUND_VARIABLE_4846))))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_70))) (let ((_let_73 (not _let_16))) (let ((_let_74 (or _let_73 _let_52 _let_67))) (let ((_let_75 (forall ((U $$unsorted) (BOUND_VARIABLE_3314 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_3314)) (tptp.ssList (tptp.cons BOUND_VARIABLE_3314 U)))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 ((tptp.cons BOUND_VARIABLE_3314 U)))) (let ((_let_79 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)))) (let ((_let_80 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 2)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_61)) :args ((or _let_51 _let_57))))) (let ((_let_81 (MACRO_RESOLUTION_TRUST _let_80 _let_64 :args (_let_51 true _let_57)))) (let ((_let_82 (ASSUME :args (_let_16)))) (let ((_let_83 (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_52 _let_67 (not _let_74)))))) (let ((_let_84 (MACRO_RESOLUTION_TRUST _let_83 _let_82 _let_81 (MACRO_RESOLUTION_TRUST _let_79 _let_76 :args (_let_74 false _let_75)) :args (_let_67 false _let_16 false _let_51 false _let_74)))) (let ((_let_85 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 3)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_61)) :args ((or _let_49 _let_57))))) (let ((_let_86 (MACRO_RESOLUTION_TRUST _let_85 _let_64 :args (_let_49 true _let_57)))) (let ((_let_87 (or _let_32 _let_73 _let_52 _let_27))) (let ((_let_88 (forall ((U $$unsorted) (BOUND_VARIABLE_3614 $$unsorted) (BOUND_VARIABLE_3612 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_3612)) (not (tptp.ssItem BOUND_VARIABLE_3614)) (= (tptp.cons BOUND_VARIABLE_3614 (tptp.app BOUND_VARIABLE_3612 U)) (tptp.app (tptp.cons BOUND_VARIABLE_3614 BOUND_VARIABLE_3612) U)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (not _let_29))) (let ((_let_91 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92 _let_90))) (let ((_let_96 (forall ((W $$unsorted) (BOUND_VARIABLE_2156 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList BOUND_VARIABLE_2156)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.app W (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 BOUND_VARIABLE_2156)))))))) (let ((_let_97 (not _let_95))) (let ((_let_98 (not _let_96))) (let ((_let_99 (= _let_43 _let_98))) (let ((_let_100 (or _let_50 _let_48 _let_99))) (let ((_let_101 (forall ((U $$unsorted) (BOUND_VARIABLE_2182 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_2182)) (= (tptp.memberP U BOUND_VARIABLE_2182) (not (forall ((W $$unsorted) (BOUND_VARIABLE_2156 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList BOUND_VARIABLE_2156)) (not (= U (tptp.app W (tptp.cons BOUND_VARIABLE_2182 BOUND_VARIABLE_2156)))))))))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 ((tptp.memberP U BOUND_VARIABLE_2182)))) (let ((_let_105 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 5)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_61)) :args ((or _let_47 _let_57))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST _let_105 _let_64 :args (_let_47 true _let_57)))) (let ((_let_107 (forall ((W $$unsorted) (BOUND_VARIABLE_2156 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList BOUND_VARIABLE_2156)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.app W (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 BOUND_VARIABLE_2156)))))))) (let ((_let_108 (not _let_107))) (let ((_let_109 (= _let_39 _let_108))) (let ((_let_110 (tptp.memberP tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_111 (= tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_112 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_113 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_112))) (let ((_let_114 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_113))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117 _let_115))) (let ((_let_121 (forall ((V $$unsorted) (BOUND_VARIABLE_3461 $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssItem BOUND_VARIABLE_3461)) (not (= (tptp.cons BOUND_VARIABLE_3461 V) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_32 _let_111 _let_122))) (let ((_let_124 (tptp.hd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_125 (tptp.ssItem _let_124))) (let ((_let_126 (or _let_32 _let_111 _let_125))) (let ((_let_127 (tptp.tl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_128 (tptp.cons _let_124 _let_127))) (let ((_let_129 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_128))) (let ((_let_130 (or _let_32 _let_111 _let_129))) (let ((_let_131 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 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(MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_91))) :args _let_61)) :args ((or _let_91 _let_95))) _let_315 :args (_let_91 true _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_208 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_207))) _let_206 :args (_let_318 false _let_201)) :args (_let_317 false _let_51 false _let_31 false _let_47 true _let_42 false _let_93 false _let_91 false _let_318)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 2)) (CONG _let_316 (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_29))) :args _let_61)) :args ((or _let_29 _let_95))) _let_315 :args (_let_29 true _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_73 _let_52 _let_32 _let_27 (not _let_87)))) _let_82 _let_81 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.nil QUANTIFIERS_INST_CBQI_PROP)) :args (_let_88)))) _let_89 :args (_let_87 false _let_88)) :args (_let_27 false _let_16 false _let_51 false _let_31 false _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_50 _let_32 _let_68 _let_26 (not _let_69)))) _let_86 _let_66 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_22 QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.app U BOUND_VARIABLE_4844) BOUND_VARIABLE_4846)))) :args _let_72)) _let_71 :args (_let_69 false _let_70)) :args (_let_26 false _let_49 false _let_31 false _let_67 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_21 (not _let_33)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_33 false _let_34)) :args (_let_21 false _let_31 false _let_33)) :args (false true _let_30 false _let_29 false _let_27 false _let_26 false _let_21)) :args ((forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.neq U V) (not (= U V))))))) (exists ((U $$unsorted)) (and (tptp.ssItem U) (exists ((V $$unsorted)) (and (tptp.ssItem V) (not (= U V)))))) _let_19 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.singletonP U) (exists ((V $$unsorted)) (and (tptp.ssItem V) (= (tptp.cons V tptp.nil) U)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.frontsegP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (= (tptp.app V W) U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.rearsegP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (= (tptp.app W V) U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.segmentP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (exists ((X $$unsorted)) (and (tptp.ssList X) (= (tptp.app (tptp.app W V) X) U)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.cyclefreeP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (not (and (tptp.leq V W) (tptp.leq W V))))))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.totalorderP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (or (tptp.leq V W) (tptp.leq W V)))))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.strictorderP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (or (tptp.lt V W) (tptp.lt W V)))))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.totalorderedP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (tptp.leq V W))))))))))))))) _let_18 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.duplicatefreeP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (not (= V W)))))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.equalelemsP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (=> (= (tptp.app X (tptp.cons V (tptp.cons W Y))) U) (= V W))))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.neq U V) (not (= U V))))))) _let_17 _let_16 _let_15 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssItem X) (=> (= (tptp.cons W U) (tptp.cons X V)) (and (= W X) (= V U))))))))))) _let_14 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (not (= tptp.nil (tptp.cons V U))))))) _let_13 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.hd (tptp.cons V U)) V))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (tptp.ssList (tptp.tl U))))) _let_12 _let_11 _let_10 _let_9 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (and (tptp.leq U V) (tptp.leq V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.leq U V) (tptp.leq V W)) (tptp.leq U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.leq U U))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.geq U V) (tptp.leq V U)))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.lt U V) (not (tptp.lt V U))))))) _let_8 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.gt U V) (tptp.lt V U)))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (= (tptp.memberP (tptp.app V W) U) (or (tptp.memberP V U) (tptp.memberP W U))))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (= (tptp.memberP (tptp.cons V W) U) (or (= U V) (tptp.memberP W U))))))))) _let_7 (not (tptp.singletonP tptp.nil)) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (and (tptp.frontsegP U V) (tptp.frontsegP V W)) (tptp.frontsegP U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (and (tptp.frontsegP U V) (tptp.frontsegP V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.frontsegP U U))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (tptp.frontsegP U V) (tptp.frontsegP (tptp.app U W) V)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (= (tptp.frontsegP (tptp.cons U W) (tptp.cons V X)) (and (= U V) (tptp.frontsegP W X))))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.frontsegP U tptp.nil))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.frontsegP tptp.nil U) (= tptp.nil U)))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> 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V) (= (tptp.hd U) V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (exists ((V $$unsorted)) (and (tptp.ssList V) (= (tptp.tl U) V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (and (not (= tptp.nil V)) (not (= tptp.nil U)) (= (tptp.hd V) (tptp.hd U)) (= (tptp.tl V) (tptp.tl U))) (= V U)))))) _let_6 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (= (tptp.app W V) (tptp.app U V)) (= W U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (= (tptp.app V W) (tptp.app V U)) (= W U)))))))) _let_5 _let_4 _let_3 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app U tptp.nil) U))) _let_2 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (not (= tptp.nil U)) (= (tptp.tl (tptp.app U V)) (tptp.app (tptp.tl U) V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (and (tptp.geq U V) (tptp.geq V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.geq U V) (tptp.geq V W)) (tptp.geq U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.geq U U))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (not (tptp.lt U U)))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.leq U V) (tptp.lt V W)) (tptp.lt U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.leq U V) (or (= U V) (tptp.lt U V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.lt U V) (and (not (= U V)) (tptp.leq U V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.gt U V) (not (tptp.gt V U))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.gt U V) (tptp.gt V W)) (tptp.gt U W)))))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 77.22/77.48 )
% 77.22/77.48 % SZS output end Proof for SWC296+1
% 77.22/77.48 % cvc5---1.0.5 exiting
% 77.22/77.48 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------