TSTP Solution File: SWC175+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC175+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 20:23:47 EDT 2023
% Result : Theorem 26.71s 26.99s
% Output : Proof 26.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.16 % Problem : SWC175+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.17 % Command : do_cvc5 %s %d
% 0.14/0.37 % Computer : n031.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 : Mon Aug 28 19:14:40 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.21/0.52 %----Proving TF0_NAR, FOF, or CNF
% 26.71/26.99 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.nHRkwQQ6t4/cvc5---1.0.5_17464.p...
% 26.71/26.99 ------- get file name : TPTP file name is SWC175+1
% 26.71/26.99 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17464.smt2...
% 26.71/26.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.71/26.99 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.71/26.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.71/26.99 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.71/26.99 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.71/26.99 % SZS status Theorem for SWC175+1
% 26.71/26.99 % SZS output start Proof for SWC175+1
% 26.71/26.99 (
% 26.71/26.99 (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 $$unsorted)) (=> (tptp.ssItem X5) (or (forall ((X6 $$unsorted)) (=> (tptp.ssList X6) (forall ((X7 $$unsorted)) (=> (tptp.ssList X7) (not (= (tptp.app (tptp.app (tptp.app X6 (tptp.cons X4 tptp.nil)) (tptp.cons X5 tptp.nil)) X7) U)))))) (tptp.neq X4 X5)))))) (and (not (= tptp.nil X)) (= tptp.nil W)))))))))))))) (let ((_let_2 (forall ((U $$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_3 (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_4 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.lt U V) (not (tptp.lt V U))))))))) (let ((_let_5 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (tptp.ssList (tptp.app U V)))))))) (let ((_let_6 (tptp.ssList tptp.nil))) (let ((_let_7 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (tptp.ssList (tptp.cons V U)))))))) (let ((_let_8 (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_9 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.neq U V) (not (= U V))))))))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_11 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.nil))) (let ((_let_12 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (= _let_12 (tptp.app _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_14 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.nil))) (let ((_let_15 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_11))) (let ((_let_16 (tptp.app (tptp.app _let_15 _let_14) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_17 (= _let_16 (tptp.app _let_15 (tptp.app _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_18 (= _let_16 (tptp.app _let_15 _let_12)))) (let ((_let_19 (not _let_10))) (let ((_let_20 (tptp.neq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21))) (let ((_let_27 (forall ((U $$unsorted) (BOUND_VARIABLE_2126 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem BOUND_VARIABLE_2126)) (= (tptp.neq U BOUND_VARIABLE_2126) (not (= U BOUND_VARIABLE_2126))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (tptp.app _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.strictorderedP _let_16))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.ssList _let_16))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35 _let_25 _let_23 _let_20 _let_33 _let_31 (not (tptp.ssList _let_29)) (and (not (= tptp.nil _let_29)) (= tptp.nil _let_16)) (not (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (forall ((Z $$unsorted) (BOUND_VARIABLE_5332 $$unsorted) (BOUND_VARIABLE_5319 $$unsorted) (BOUND_VARIABLE_5317 $$unsorted)) (or (not (tptp.ssItem Z)) (not (tptp.ssItem BOUND_VARIABLE_5317)) (not (tptp.lt BOUND_VARIABLE_5317 Z)) (not (tptp.ssList BOUND_VARIABLE_5319)) (not (= (tptp.app BOUND_VARIABLE_5319 (tptp.cons BOUND_VARIABLE_5317 tptp.nil)) (tptp.app (tptp.app (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.nil)) (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (not (tptp.ssList BOUND_VARIABLE_5332)) (not (= (tptp.app (tptp.cons Z tptp.nil) BOUND_VARIABLE_5332) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))))) (let ((_let_39 (forall ((BOUND_VARIABLE_5608 $$unsorted) (BOUND_VARIABLE_5589 $$unsorted) (BOUND_VARIABLE_5587 $$unsorted) (BOUND_VARIABLE_5585 $$unsorted) (BOUND_VARIABLE_5583 $$unsorted)) (let ((_let_1 (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5585 (tptp.cons BOUND_VARIABLE_5583 tptp.nil)) (tptp.cons BOUND_VARIABLE_5589 tptp.nil)) BOUND_VARIABLE_5587))) (let ((_let_2 (tptp.app _let_1 BOUND_VARIABLE_5608))) (or (not (tptp.ssList _let_1)) (not (tptp.strictorderedP _let_1)) (not (tptp.ssItem BOUND_VARIABLE_5583)) (not (tptp.ssItem BOUND_VARIABLE_5589)) (tptp.neq BOUND_VARIABLE_5583 BOUND_VARIABLE_5589) (not (tptp.ssList BOUND_VARIABLE_5585)) (not (tptp.ssList BOUND_VARIABLE_5587)) (not (tptp.ssList _let_2)) (and (not (= tptp.nil _let_2)) (= tptp.nil _let_1)) (not (tptp.ssList BOUND_VARIABLE_5608)) (not (forall ((Z $$unsorted) (BOUND_VARIABLE_5332 $$unsorted) (BOUND_VARIABLE_5319 $$unsorted) (BOUND_VARIABLE_5317 $$unsorted)) (or (not (tptp.ssItem Z)) (not (tptp.ssItem BOUND_VARIABLE_5317)) (not (tptp.lt BOUND_VARIABLE_5317 Z)) (not (tptp.ssList BOUND_VARIABLE_5319)) (not (= (tptp.app BOUND_VARIABLE_5319 (tptp.cons BOUND_VARIABLE_5317 tptp.nil)) (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5585 (tptp.cons BOUND_VARIABLE_5583 tptp.nil)) (tptp.cons BOUND_VARIABLE_5589 tptp.nil)) BOUND_VARIABLE_5587))) (not (tptp.ssList BOUND_VARIABLE_5332)) (not (= (tptp.app (tptp.cons Z tptp.nil) BOUND_VARIABLE_5332) BOUND_VARIABLE_5608))))))))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (or))) (let ((_let_43 (not _let_39))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args (_let_43))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args (_let_40)) :args _let_42)) _let_41 :args (_let_40 true _let_39)))) (let ((_let_45 (REFL :args (_let_38)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 3)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_42)) :args ((or _let_22 _let_38))) _let_44 :args (_let_22 true _let_38)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 2)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_42)) :args ((or _let_24 _let_38))) _let_44 :args (_let_24 true _let_38)))) (let ((_let_48 (not _let_21))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_21)) (CONG (REFL :args (_let_48)) (REFL :args (_let_20)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_10))) :args _let_42)) :args ((or _let_20 _let_10 _let_48))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 4)) _let_44 :args ((not _let_20) true _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 _let_21 (not _let_26)))) _let_47 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_27)))) _let_28 :args (_let_26 false _let_27)) :args (_let_21 false _let_24 false _let_22 false _let_26)) :args (_let_10 true _let_20 false _let_21)))) (let ((_let_50 (or _let_31 _let_25 _let_13))) (let ((_let_51 (forall ((U $$unsorted) (BOUND_VARIABLE_4834 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_4834)) (= (tptp.cons BOUND_VARIABLE_4834 U) (tptp.app (tptp.cons BOUND_VARIABLE_4834 tptp.nil) U)))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 6)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_42)) :args ((or _let_30 _let_38))) _let_44 :args (_let_30 true _let_38)))) (let ((_let_54 (tptp.ssList _let_14))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.ssList _let_15))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55 _let_31 _let_17))) (let ((_let_59 (forall ((U $$unsorted) (BOUND_VARIABLE_4878 $$unsorted) (BOUND_VARIABLE_4876 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_4876)) (not (tptp.ssList BOUND_VARIABLE_4878)) (= (tptp.app (tptp.app U BOUND_VARIABLE_4876) BOUND_VARIABLE_4878) (tptp.app U (tptp.app BOUND_VARIABLE_4876 BOUND_VARIABLE_4878))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (not _let_6))) (let ((_let_62 (or _let_61 _let_23 _let_54))) (let ((_let_63 (forall ((U $$unsorted) (BOUND_VARIABLE_3346 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_3346)) (tptp.ssList (tptp.cons BOUND_VARIABLE_3346 U)))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (ASSUME :args (_let_6)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_23 _let_54 (not _let_62)))) _let_65 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons BOUND_VARIABLE_3346 U)))) :args (_let_63))) _let_64 :args (_let_62 false _let_63)) :args (_let_54 false _let_6 false _let_22 false _let_62)))) (let ((_let_67 (tptp.ssList _let_11))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_33 _let_68 _let_56))) (let ((_let_70 (forall ((U $$unsorted) (BOUND_VARIABLE_3604 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_3604)) (tptp.ssList (tptp.app U BOUND_VARIABLE_3604)))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (and _let_10 _let_54))) (let ((_let_73 (ASSUME :args (_let_54)))) (let ((_let_74 (APPLY_UF tptp.cons))) (let ((_let_75 (REFL :args (tptp.nil)))) (let ((_let_76 (ASSUME :args (_let_10)))) (let ((_let_77 (SYMM (SYMM _let_76)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 5)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_42)) :args ((or _let_32 _let_38))) _let_44 :args (_let_32 true _let_38)))) (let ((_let_79 (not _let_18))) (let ((_let_80 (tptp.lt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_81 (or _let_25 _let_25 _let_80 _let_33 _let_61 _let_31 _let_79))) (let ((_let_82 (forall ((V $$unsorted) (BOUND_VARIABLE_3046 $$unsorted) (BOUND_VARIABLE_3044 $$unsorted) (BOUND_VARIABLE_3042 $$unsorted) (BOUND_VARIABLE_3040 $$unsorted)) (or (not (tptp.ssItem V)) (not (tptp.ssItem BOUND_VARIABLE_3040)) (tptp.lt V BOUND_VARIABLE_3040) (not (tptp.ssList BOUND_VARIABLE_3046)) (not (tptp.ssList BOUND_VARIABLE_3042)) (not (tptp.ssList BOUND_VARIABLE_3044)) (not (= (tptp.app (tptp.app BOUND_VARIABLE_3046 (tptp.cons V BOUND_VARIABLE_3042)) (tptp.cons BOUND_VARIABLE_3040 BOUND_VARIABLE_3044)) (tptp.app (tptp.app (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.nil)) (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))))) (let ((_let_83 (= _let_34 _let_82))) (let ((_let_84 (or _let_37 _let_83))) (let ((_let_85 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.strictorderedP U) (forall ((V $$unsorted) (BOUND_VARIABLE_3046 $$unsorted) (BOUND_VARIABLE_3044 $$unsorted) (BOUND_VARIABLE_3042 $$unsorted) (BOUND_VARIABLE_3040 $$unsorted)) (or (not (tptp.ssItem V)) (not (tptp.ssItem BOUND_VARIABLE_3040)) (tptp.lt V BOUND_VARIABLE_3040) (not (tptp.ssList BOUND_VARIABLE_3046)) (not (tptp.ssList BOUND_VARIABLE_3042)) (not (tptp.ssList BOUND_VARIABLE_3044)) (not (= U (tptp.app (tptp.app BOUND_VARIABLE_3046 (tptp.cons V BOUND_VARIABLE_3042)) (tptp.cons BOUND_VARIABLE_3040 BOUND_VARIABLE_3044))))))))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_82))) (let ((_let_88 (not _let_80))) (let ((_let_89 (or _let_25 _let_25 _let_88 _let_88))) (let ((_let_90 (forall ((U $$unsorted) (BOUND_VARIABLE_3790 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem BOUND_VARIABLE_3790)) (not (tptp.lt U BOUND_VARIABLE_3790)) (not (tptp.lt BOUND_VARIABLE_3790 U)))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (ASSUME :args (_let_79)))) (let ((_let_93 (APPLY_UF tptp.app))) (let ((_let_94 (ASSUME :args (_let_13)))) (let ((_let_95 (ASSUME :args (_let_17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_92 (MODUS_PONENS (AND_INTRO _let_94 _let_76 _let_95) (SCOPE (TRANS (SYMM (SYMM _let_95)) (CONG (REFL :args (_let_15)) (TRANS (CONG (CONG _let_77 _let_75 :args _let_74) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args _let_93) (SYMM _let_94)) :args _let_93)) :args (_let_13 _let_10 _let_17)))) :args (_let_10 _let_13 _let_17 _let_79)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (SYMM (SYMM (ASSUME :args (_let_18)))))) (FALSE_INTRO _let_92))) :args (_let_79 _let_18)) :args ((not (and _let_10 _let_13 _let_17 _let_79)) SB_LITERAL))) (CONG (REFL :args (_let_19)) (REFL :args ((not _let_13))) (REFL :args ((not _let_17))) (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_18))) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_81))) :args ((or _let_61 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(tptp.strictorderedP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (let ((_let_1 (= tptp.nil V))) (=> (tptp.ssList V) (= (tptp.strictorderedP (tptp.cons U V)) (or _let_1 (and (not _let_1) (tptp.strictorderedP V) (tptp.lt U (tptp.hd V)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) (tptp.duplicatefreeP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (tptp.equalelemsP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (exists ((V $$unsorted)) (and (tptp.ssItem V) (= (tptp.hd U) V)))))) (forall ((U $$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 $$unsorted)) (=> (tptp.ssList V) (=> (and (not (= tptp.nil V)) (not (= tptp.nil U)) (= (tptp.hd V) (tptp.hd U)) (= (tptp.tl V) (tptp.tl U))) (= V U)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U)))) (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_3 _let_2 (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))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (not (= tptp.nil U)) (= (tptp.hd (tptp.app U V)) (tptp.hd U))))))) (forall ((U $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.71/26.99 )
% 26.71/26.99 % SZS output end Proof for SWC175+1
% 26.71/27.00 % cvc5---1.0.5 exiting
% 26.71/27.00 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------