TSTP Solution File: SWC283+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC283+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 20:24:28 EDT 2023
% Result : Theorem 77.19s 77.45s
% Output : Proof 77.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWC283+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n006.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 : Mon Aug 28 16:27:06 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 77.19/77.45 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gDaZG0AfDc/cvc5---1.0.5_27772.p...
% 77.19/77.45 ------- get file name : TPTP file name is SWC283+1
% 77.19/77.45 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27772.smt2...
% 77.19/77.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 77.19/77.45 --- Run --no-e-matching --full-saturate-quant at 5...
% 77.19/77.45 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 77.19/77.45 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 77.19/77.45 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 77.19/77.45 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 77.19/77.45 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 77.19/77.45 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 77.19/77.45 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 77.19/77.45 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 77.19/77.45 --- Run --relevant-triggers --full-saturate-quant at 5...
% 77.19/77.45 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 77.19/77.45 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 77.19/77.45 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 77.19/77.45 % SZS status Theorem for SWC283+1
% 77.19/77.45 % SZS output start Proof for SWC283+1
% 77.19/77.45 (
% 77.19/77.45 (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)) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (or (not (= (tptp.app W Y) X)) (not (tptp.strictorderedP W)) (exists ((Z $$unsorted)) (and (tptp.ssItem Z) (exists ((X1 $$unsorted)) (and (tptp.ssList X1) (= (tptp.app (tptp.cons Z tptp.nil) X1) Y) (exists ((X2 $$unsorted)) (and (tptp.ssItem X2) (exists ((X3 $$unsorted)) (and (tptp.ssList X3) (= (tptp.app X3 (tptp.cons X2 tptp.nil)) W) (tptp.lt X2 Z)))))))))))) (forall ((X4 $$unsorted)) (=> (tptp.ssItem X4) (forall ((X5 $$unsorted)) (=> (tptp.ssList X5) (forall ((X6 $$unsorted)) (=> (tptp.ssList X6) (or (not (= (tptp.app (tptp.app X5 (tptp.cons X4 tptp.nil)) X6) U)) (forall ((X7 $$unsorted)) (=> (tptp.ssItem X7) (and (or (not (tptp.memberP X5 X7)) (tptp.leq X7 X4)) (or (not (tptp.memberP X6 X7)) (tptp.leq X4 X7)))))))))))) (and (not (= tptp.nil X)) (= tptp.nil W)))))))))))))) (let ((_let_2 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.lt U V) (and (not (= U V)) (tptp.leq U V))))))))) (let ((_let_3 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (not (= tptp.nil U)) (= (tptp.hd (tptp.app U V)) (tptp.hd U))))))))) (let ((_let_4 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app U tptp.nil) U))))) (let ((_let_5 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (= (tptp.app (tptp.app U V) W) (tptp.app U (tptp.app V W))))))))))) (let ((_let_6 (forall ((U $$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 (tptp.ssList tptp.nil))) (let ((_let_16 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (tptp.ssList (tptp.cons V U)))))))) (let ((_let_17 (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_18 (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_19 (tptp.app tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_19))) (let ((_let_21 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.nil))) (let ((_let_22 (tptp.app _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_23 (= _let_22 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_19)))) (let ((_let_24 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_24))) (let ((_let_26 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22))) (let ((_let_27 (= _let_26 (tptp.app _let_24 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_28 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_20))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_21))) (let ((_let_34 (tptp.app _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_35 (tptp.app _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_36 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_37 (tptp.memberP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36))) (let ((_let_40 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_41 (tptp.memberP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40))) (let ((_let_44 (and _let_43 _let_39))) (let ((_let_45 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.strictorderedP _let_34))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.ssList _let_34))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52 _let_50 _let_48 _let_29 _let_46 _let_44 (not (tptp.ssList _let_35)) (and (not (= tptp.nil _let_35)) (= tptp.nil _let_34)) (not (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (forall ((Z $$unsorted) (BOUND_VARIABLE_5338 $$unsorted) (BOUND_VARIABLE_5325 $$unsorted) (BOUND_VARIABLE_5323 $$unsorted)) (or (not (tptp.ssItem Z)) (not (tptp.ssItem BOUND_VARIABLE_5323)) (not (tptp.lt BOUND_VARIABLE_5323 Z)) (not (tptp.ssList BOUND_VARIABLE_5325)) (not (= (tptp.app BOUND_VARIABLE_5325 (tptp.cons BOUND_VARIABLE_5323 tptp.nil)) (tptp.app (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (not (tptp.ssList BOUND_VARIABLE_5338)) (not (= (tptp.app (tptp.cons Z tptp.nil) BOUND_VARIABLE_5338) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))))) (let ((_let_56 (forall ((BOUND_VARIABLE_5637 $$unsorted) (BOUND_VARIABLE_5612 $$unsorted) (BOUND_VARIABLE_5610 $$unsorted) (BOUND_VARIABLE_5608 $$unsorted) (BOUND_VARIABLE_5606 $$unsorted)) (let ((_let_1 (tptp.app (tptp.app BOUND_VARIABLE_5612 (tptp.cons BOUND_VARIABLE_5606 tptp.nil)) BOUND_VARIABLE_5608))) (let ((_let_2 (tptp.app _let_1 BOUND_VARIABLE_5637))) (or (not (tptp.ssList _let_1)) (not (tptp.strictorderedP _let_1)) (not (tptp.ssItem BOUND_VARIABLE_5606)) (not (tptp.ssList BOUND_VARIABLE_5612)) (not (tptp.ssList BOUND_VARIABLE_5608)) (not (tptp.ssItem BOUND_VARIABLE_5610)) (and (or (not (tptp.memberP BOUND_VARIABLE_5612 BOUND_VARIABLE_5610)) (tptp.leq BOUND_VARIABLE_5610 BOUND_VARIABLE_5606)) (or (not (tptp.memberP BOUND_VARIABLE_5608 BOUND_VARIABLE_5610)) (tptp.leq BOUND_VARIABLE_5606 BOUND_VARIABLE_5610))) (not (tptp.ssList _let_2)) (and (not (= tptp.nil _let_2)) (= tptp.nil _let_1)) (not (tptp.ssList BOUND_VARIABLE_5637)) (not (forall ((Z $$unsorted) (BOUND_VARIABLE_5338 $$unsorted) (BOUND_VARIABLE_5325 $$unsorted) (BOUND_VARIABLE_5323 $$unsorted)) (or (not (tptp.ssItem Z)) (not (tptp.ssItem BOUND_VARIABLE_5323)) (not (tptp.lt BOUND_VARIABLE_5323 Z)) (not (tptp.ssList BOUND_VARIABLE_5325)) (not (= (tptp.app BOUND_VARIABLE_5325 (tptp.cons BOUND_VARIABLE_5323 tptp.nil)) (tptp.app (tptp.app BOUND_VARIABLE_5612 (tptp.cons BOUND_VARIABLE_5606 tptp.nil)) BOUND_VARIABLE_5608))) (not (tptp.ssList BOUND_VARIABLE_5338)) (not (= (tptp.app (tptp.cons Z tptp.nil) BOUND_VARIABLE_5338) BOUND_VARIABLE_5637))))))))))) (let ((_let_57 (not _let_55))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (or))) (let ((_let_60 (not _let_56))) (let ((_let_61 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_58) :args (_let_60))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_56))) (REFL :args (_let_57)) :args _let_59)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST _let_61 _let_58 :args (_let_57 true _let_56)))) (let ((_let_63 (REFL :args (_let_55)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 4)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_59)) :args ((or _let_28 _let_55))) _let_62 :args (_let_28 true _let_55)))) (let ((_let_65 (not _let_15))) (let ((_let_66 (or _let_29 _let_65 _let_50 _let_23))) (let ((_let_67 (forall ((U $$unsorted) (BOUND_VARIABLE_3652 $$unsorted) (BOUND_VARIABLE_3650 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_3650)) (not (tptp.ssItem BOUND_VARIABLE_3652)) (= (tptp.cons BOUND_VARIABLE_3652 (tptp.app BOUND_VARIABLE_3650 U)) (tptp.app (tptp.cons BOUND_VARIABLE_3652 BOUND_VARIABLE_3650) U)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 2)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_59)) :args ((or _let_49 _let_55))))) (let ((_let_70 (MACRO_RESOLUTION_TRUST _let_69 _let_62 :args (_let_49 true _let_55)))) (let ((_let_71 (ASSUME :args (_let_15)))) (let ((_let_72 (not _let_25))) (let ((_let_73 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74 _let_72))) (let ((_let_78 (forall ((W $$unsorted) (BOUND_VARIABLE_2194 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList BOUND_VARIABLE_2194)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.app W (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 BOUND_VARIABLE_2194)))))))) (let ((_let_79 (not _let_77))) (let ((_let_80 (not _let_78))) (let ((_let_81 (= _let_41 _let_80))) (let ((_let_82 (or _let_48 _let_46 _let_81))) (let ((_let_83 (forall ((U $$unsorted) (BOUND_VARIABLE_2220 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_2220)) (= (tptp.memberP U BOUND_VARIABLE_2220) (not (forall ((W $$unsorted) (BOUND_VARIABLE_2194 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList BOUND_VARIABLE_2194)) (not (= U (tptp.app W (tptp.cons BOUND_VARIABLE_2220 BOUND_VARIABLE_2194)))))))))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (_let_83))) (let ((_let_86 ((tptp.memberP U BOUND_VARIABLE_2220)))) (let ((_let_87 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 5)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_59)) :args ((or _let_45 _let_55))))) (let ((_let_88 (MACRO_RESOLUTION_TRUST _let_87 _let_62 :args (_let_45 true _let_55)))) (let ((_let_89 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 3)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_59)) :args ((or _let_47 _let_55))))) (let ((_let_90 (MACRO_RESOLUTION_TRUST _let_89 _let_62 :args (_let_47 true _let_55)))) (let ((_let_91 (forall ((W $$unsorted) (BOUND_VARIABLE_2194 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList BOUND_VARIABLE_2194)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.app W (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 BOUND_VARIABLE_2194)))))))) (let ((_let_92 (not _let_91))) (let ((_let_93 (= _let_37 _let_92))) (let ((_let_94 (tptp.memberP tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_95 (= tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_96 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_97 (and _let_96 _let_36))) (let ((_let_98 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_99 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_98))) (let ((_let_100 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_99))) (let ((_let_101 (not _let_100))) (let ((_let_102 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_105 _let_103 _let_101))) (let ((_let_107 (forall ((V $$unsorted) (BOUND_VARIABLE_3499 $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssItem BOUND_VARIABLE_3499)) (not (= (tptp.cons BOUND_VARIABLE_3499 V) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_29 _let_95 _let_108))) (let ((_let_110 (tptp.hd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_111 (tptp.ssItem _let_110))) (let ((_let_112 (or _let_29 _let_95 _let_111))) (let ((_let_113 (tptp.tl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_114 (tptp.cons _let_110 _let_113))) (let ((_let_115 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_114))) (let ((_let_116 (or 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$$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)))))))) (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_5 (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_4 _let_3 (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))))))) _let_2 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 77.28/77.46 )
% 77.28/77.46 % SZS output end Proof for SWC283+1
% 77.28/77.46 % cvc5---1.0.5 exiting
% 77.28/77.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------