0.07/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : do_cvc5 %s %d
0.11/0.32	% Computer : n008.cluster.edu
0.11/0.32	% Model    : x86_64 x86_64
0.11/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory   : 8042.1875MB
0.11/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 960
0.11/0.32	% WCLimit    : 120
0.11/0.32	% DateTime   : Tue Aug  9 04:20:39 EDT 2022
0.11/0.32	% CPUTime    : 
0.17/0.44	%----Proving TF0_ARI
58.03/58.23	------- cvc5-tfa casc j11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p...
58.03/58.23	--- Run --finite-model-find --decision=internal at 15...
58.03/58.23	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
58.03/58.23	--- Run --no-e-matching --full-saturate-quant at 15...
58.03/58.23	--- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
58.03/58.23	% SZS status Theorem for theBenchmark
58.03/58.23	% SZS output start Proof for theBenchmark
58.03/58.23	(let ((_let_1 (forall ((A ty) (L1 uni) (L2 uni) (L3 uni)) (= (infix_plpl A L1 (infix_plpl A L2 L3)) (infix_plpl A (infix_plpl A L1 L2) L3))))) (let ((_let_2 (forall ((A ty) (U uni) (U1 uni)) (=> (sort1 A U) (= (cons_proj_11 A (cons A U U1)) U))))) (let ((_let_3 (forall ((A ty) (X uni) (L1 uni) (L2 uni)) (permut A (infix_plpl A (cons A X L1) L2) (infix_plpl A L1 (cons A X L2)))))) (let ((_let_4 (forall ((A ty) (U uni) (U1 uni)) (= (cons_proj_21 A (cons A U U1)) U1)))) (let ((_let_5 (nil elt))) (let ((_let_6 (tb2t _let_5))) (let ((_let_7 (forall ((J uni)) (= (t2tb (tb2t J)) J)))) (let ((_let_8 (forall ((A ty) (V uni) (V1 uni)) (not (= (nil A) (cons A V V1)))))) (let ((_let_9 (forall ((A ty) (L2 uni)) (and (forall ((X uni) (X1 uni)) (= (infix_plpl A (cons A X X1) L2) (cons A X (infix_plpl A X1 L2)))) (= (infix_plpl A (nil A) L2) L2))))) (let ((_let_10 (forall ((X elt1)) (sort1 elt (t2tb1 X))))) (let ((_let_11 (forall ((X elt1)) (sorted1 (tb2t (cons elt (t2tb1 X) (nil elt))))))) (let ((_let_12 (forall ((A ty) (L uni)) (= (infix_plpl A L (nil A)) L)))) (let ((_let_13 (not (forall ((Q1 list_elt) (Q2 list_elt) (Q list_elt)) (=> (and (= Q (tb2t (nil elt))) (sorted1 Q2) (sorted1 Q1)) (forall ((Q3 list_elt) (Q21 list_elt) (Q11 list_elt)) (let ((_let_1 (t2tb Q21))) (let ((_let_2 (t2tb Q11))) (let ((_let_3 (length2 elt _let_2))) (=> (and (forall ((X elt1) (Y elt1)) (=> (mem elt (t2tb1 X) (t2tb Q3)) (=> (mem elt (t2tb1 Y) (t2tb Q11)) (le1 X Y)))) (permut elt (infix_plpl elt (infix_plpl elt (t2tb Q3) _let_2) _let_1) (infix_plpl elt (t2tb Q1) (t2tb Q2))) (forall ((X elt1) (Y elt1)) (=> (mem elt (t2tb1 X) (t2tb Q3)) (=> (mem elt (t2tb1 Y) (t2tb Q21)) (le1 X Y)))) (sorted1 Q3) (sorted1 Q21) (sorted1 Q11)) (=> (< 0 _let_3) (=> (not (= _let_3 0)) (=> (not (= (length2 elt _let_1) 0)) (=> (not (= Q11 (tb2t (nil elt)))) (forall ((X1 elt1)) (=> (exists ((X elt1) (X2 list_elt)) (and (= X1 X) (= Q11 (tb2t (cons elt (t2tb1 X) (t2tb X2)))))) (=> (not (= Q21 (tb2t (nil elt)))) (forall ((X2 elt1)) (=> (exists ((X elt1) (X3 list_elt)) (and (= Q21 (tb2t (cons elt (t2tb1 X) (t2tb X3)))) (= X2 X))) (=> (not (le1 X1 X2)) (=> (not (= Q21 (tb2t (nil elt)))) (forall ((Q22 list_elt) (O elt1)) (=> (exists ((X elt1) (X3 list_elt)) (and (= O X) (= Q22 X3) (= Q21 (tb2t (cons elt (t2tb1 X) (t2tb X3)))))) (forall ((Q4 list_elt)) (=> (= Q4 (tb2t (infix_plpl elt (t2tb Q3) (cons elt (t2tb1 O) (nil elt))))) (permut elt (infix_plpl elt (infix_plpl elt (t2tb Q4) (t2tb Q11)) (t2tb Q22)) (infix_plpl elt (t2tb Q1) (t2tb Q2)))))))))))))))))))))))))))) (let ((_let_14 (forall ((A ty) (L1 uni) (L2 uni)) (=> (permut A L1 L2) (permut A L2 L1))))) (let ((_let_15 (forall ((Z list_elt)) (=> (sorted1 Z) (or (= Z (tb2t (nil elt))) (exists ((X elt1) (Y elt1) (L list_elt)) (let ((_let_1 (cons elt (t2tb1 Y) (t2tb L)))) (and (le1 X Y) (= Z (tb2t (cons elt (t2tb1 X) _let_1))) (sorted1 (tb2t _let_1))))) (exists ((X elt1)) (= Z (tb2t (cons elt (t2tb1 X) (nil elt)))))))))) (let ((_let_16 (forall ((A ty) (L1 uni) (L2 uni) (L3 uni)) (=> (permut A L1 L2) (=> (permut A L2 L3) (permut A L1 L3)))))) (let ((_let_17 (t2tb skv_90))) (let ((_let_18 (t2tb1 skv_91))) (let ((_let_19 (cons elt _let_18 _let_17))) (let ((_let_20 (tb2t _let_19))) (let ((_let_21 (t2tb skv_87))) (let ((_let_22 (t2tb1 skv_88))) (let ((_let_23 (cons elt _let_22 _let_21))) (let ((_let_24 (tb2t _let_23))) (let ((_let_25 (= _let_24 _let_20))) (let ((_let_26 (cons elt _let_22 _let_5))) (let ((_let_27 (= _let_5 _let_26))) (let ((_let_28 (t2tb _let_24))) (let ((_let_29 (= _let_23 _let_28))) (let ((_let_30 (= _let_19 (t2tb _let_20)))) (let ((_let_31 (= _let_5 (t2tb _let_6)))) (let ((_let_32 (= _let_22 (cons_proj_11 elt _let_23)))) (let ((_let_33 (= _let_18 (cons_proj_11 elt _let_19)))) (let ((_let_34 (cons elt _let_18 _let_5))) (let ((_let_35 (tb2t _let_34))) (let ((_let_36 (= _let_34 (t2tb _let_35)))) (let ((_let_37 (= _let_6 _let_35))) (let ((_let_38 (not _let_25))) (let ((_let_39 (infix_plpl elt (t2tb skv_85) (t2tb skv_86)))) (let ((_let_40 (tb2t (cons elt (t2tb1 skv_89) (t2tb skv_92))))) (let ((_let_41 (t2tb _let_40))) (let ((_let_42 (t2tb skv_93))) (let ((_let_43 (infix_plpl elt _let_42 _let_26))) (let ((_let_44 (t2tb (tb2t _let_43)))) (let ((_let_45 (infix_plpl elt (infix_plpl elt _let_44 _let_41) _let_21))) (let ((_let_46 (permut elt _let_45 _let_39))) (let ((_let_47 (length2 elt _let_41))) (let ((_let_48 (infix_plpl elt _let_42 _let_41))) (let ((_let_49 (permut elt (infix_plpl elt _let_48 _let_28) _let_39))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or (not (sorted1 skv_85)) (not (sorted1 skv_86)) (not (forall ((X elt1) (Y elt1)) (or (not (mem elt (t2tb1 X) (t2tb skv_93))) (not (mem elt (t2tb1 Y) (t2tb (tb2t (cons elt (t2tb1 skv_89) (t2tb skv_92)))))) (le1 X Y)))) _let_50 (not (forall ((X elt1) (Y elt1)) (or (not (mem elt (t2tb1 X) (t2tb skv_93))) (not (mem elt (t2tb1 Y) (t2tb (tb2t (cons elt (t2tb1 skv_88) (t2tb skv_87)))))) (le1 X Y)))) (not (sorted1 skv_93)) (not (sorted1 _let_24)) (not (sorted1 _let_40)) (not (>= _let_47 1)) (= _let_47 0) (= (length2 elt _let_28) 0) (= _let_6 _let_40) (= _let_6 _let_24) _let_46 _let_38 (le1 skv_89 skv_91)))) (let ((_let_52 (forall ((Q1 list_elt) (Q2 list_elt) (BOUND_VARIABLE_1668 list_elt) (BOUND_VARIABLE_1666 elt1) (BOUND_VARIABLE_1664 elt1) (BOUND_VARIABLE_1662 list_elt) (BOUND_VARIABLE_1660 elt1) (BOUND_VARIABLE_1658 list_elt) (BOUND_VARIABLE_1656 list_elt)) (let ((_let_1 (t2tb BOUND_VARIABLE_1668))) (let ((_let_2 (t2tb1 BOUND_VARIABLE_1666))) (let ((_let_3 (tb2t (cons elt _let_2 _let_1)))) (let ((_let_4 (infix_plpl elt (t2tb Q1) (t2tb Q2)))) (let ((_let_5 (tb2t (cons elt (t2tb1 BOUND_VARIABLE_1664) (t2tb BOUND_VARIABLE_1658))))) (let ((_let_6 (t2tb _let_5))) (let ((_let_7 (nil elt))) (let ((_let_8 (t2tb BOUND_VARIABLE_1656))) (let ((_let_9 (tb2t _let_7))) (let ((_let_10 (t2tb _let_3))) (let ((_let_11 (length2 elt _let_6))) (or (not (sorted1 Q1)) (not (sorted1 Q2)) (not (forall ((X elt1) (Y elt1)) (or (not (mem elt (t2tb1 X) (t2tb BOUND_VARIABLE_1656))) (not (mem elt (t2tb1 Y) (t2tb (tb2t (cons elt (t2tb1 BOUND_VARIABLE_1664) (t2tb BOUND_VARIABLE_1658)))))) (le1 X Y)))) (not (permut elt (infix_plpl elt (infix_plpl elt _let_8 _let_6) _let_10) _let_4)) (not (forall ((X elt1) (Y elt1)) (or (not (mem elt (t2tb1 X) (t2tb BOUND_VARIABLE_1656))) (not (mem elt (t2tb1 Y) (t2tb (tb2t (cons elt (t2tb1 BOUND_VARIABLE_1666) (t2tb BOUND_VARIABLE_1668)))))) (le1 X Y)))) (not (sorted1 BOUND_VARIABLE_1656)) (not (sorted1 _let_3)) (not (sorted1 _let_5)) (not (>= _let_11 1)) (= _let_11 0) (= (length2 elt _let_10) 0) (= _let_9 _let_5) (= _let_9 _let_3) (permut elt (infix_plpl elt (infix_plpl elt (t2tb (tb2t (infix_plpl elt _let_8 (cons elt _let_2 _let_7)))) _let_6) _let_1) _let_4) (not (= _let_3 (tb2t (cons elt (t2tb1 BOUND_VARIABLE_1660) (t2tb BOUND_VARIABLE_1662))))) (le1 BOUND_VARIABLE_1664 BOUND_VARIABLE_1660)))))))))))))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (OR))) (let ((_let_56 (not _let_52))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_54) :args (_let_56))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_52))) (REFL :args (_let_53)) :args _let_55)) _let_54 :args (_let_53 true _let_52)))) (let ((_let_58 (REFL :args (_let_51)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 14)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_25))) :args _let_55)) :args ((or _let_25 _let_51))) _let_57 :args (_let_25 true _let_51)))) (let ((_let_60 (forall ((A ty) (V uni) (V1 uni)) (not (= (cons A V V1) (nil A)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 (forall ((J uni)) (= J (t2tb (tb2t J)))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_7)) 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(SCOPE (INSTANTIATE _let_139 :args (elt _let_22 _let_42 _let_103 QUANTIFIERS_INST_E_MATCHING ((infix_plpl A (cons A X L1) L2)))) :args _let_138)) _let_139 :args (_let_133 false _let_3)) :args (_let_125 false _let_25 false _let_29 false _let_30 false _let_32 false _let_33 false _let_137 false _let_136 false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (elt _let_39 _let_124 _let_105 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_132)) _let_131 :args (_let_129 false _let_130)) :args (_let_106 false _let_127 false _let_125 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (elt _let_5 _let_41 _let_21 QUANTIFIERS_INST_CBQI_PROP)) :args _let_122))) _let_121 :args (_let_102 false _let_120)) :args (_let_119 false _let_25 false _let_29 false _let_30 false _let_118 true _let_117 false _let_116 false _let_115 false _let_114 false _let_32 false _let_33 false _let_113 false _let_112 false _let_36 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_102)) :args (_let_86 true _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (sorted1 Z) false))))) :args (_let_93)))) _let_94 :args (_let_92 false _let_93)) :args (_let_37 false _let_90 false _let_88 false _let_86 false _let_92)) _let_85 _let_84 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_65)) _let_64 :args (_let_31 false _let_63)) _let_67 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (elt _let_22 _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_62))) _let_61 :args ((not _let_27) false _let_60)) _let_59 :args (false false _let_37 false _let_36 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29 true _let_27 false _let_25)) :args ((forall ((A ty) (L1 uni) (L2 uni)) (let ((_let_1 (permut A L1 L2))) (and (=> _let_1 (forall ((X uni)) (= (num_occ1 A X L1) (num_occ1 A X L2)))) (=> (forall ((X uni)) (=> (sort1 A X) (= (num_occ1 A X L1) (num_occ1 A X L2)))) _let_1)))) _let_16 (forall ((A ty) (L uni) (X uni)) (= (reverse A (cons A X L)) (infix_plpl A (reverse A L) (cons A X (nil A))))) (forall ((A ty) (U uni)) (= U (mk_t A (elts A U)))) _let_15 (forall ((A ty) (X uni) (X1 uni)) (sort1 (list A) (cons A X X1))) (forall ((A ty) (L uni)) (= (= (length2 A L) 0) (= L (nil A)))) (forall ((X elt1) (Y elt1) (Z elt1)) (=> (le1 X Y) (=> (le1 Y Z) (le1 X Z)))) (forall ((A ty) (A1 ty) (Z uni) (Z1 uni)) (=> (sort1 A1 Z) (= (match_list1 A1 A (nil A) Z Z1) Z))) (forall ((A ty)) (sort1 (list A) (nil A))) (forall ((I elt1)) (= (tb2t1 (t2tb1 I)) I)) _let_14 (forall ((A ty) (X uni)) (sort1 (list A) (reverse A X))) _let_13 (forall ((A ty) (X uni)) (sort1 A (cons_proj_11 A X))) _let_12 (forall ((A ty) (X uni) (L uni)) (=> (mem A X L) (exists ((L1 uni) (L2 uni)) (let ((_let_1 (list A))) (and (= L (infix_plpl A L1 (cons A X L2))) (sort1 _let_1 L2) (sort1 _let_1 L1)))))) (forall ((A ty) (L1 uni) (L2 uni)) (= (length2 A (infix_plpl A L1 L2)) (+ (length2 A L1) (length2 A L2)))) _let_11 (forall ((A ty) (U uni)) (or (= U (cons A (cons_proj_11 A U) (cons_proj_21 A U))) (= U (nil A)))) (forall ((J uni)) (=> (sort1 elt J) (= (t2tb1 (tb2t1 J)) J))) (forall ((A ty)) (and (forall ((X uni) (X1 uni)) (= (length2 A (cons A X X1)) (+ 1 (length2 A X1)))) (= (length2 A (nil A)) 0))) (forall ((A ty) (X uni) (L1 uni) (L2 uni)) (=> (permut A L1 L2) (permut A (cons A X L1) (cons A X L2)))) (forall ((A ty) (L1 uni) (L2 uni)) (permut A (infix_plpl A L1 L2) (infix_plpl A L2 L1))) (forall ((X elt1)) (le1 X X)) (forall ((A ty) (X uni)) (=> (sort1 A X) (and (not (mem A X (nil A))) (forall ((X1 uni) (X2 uni)) (=> (sort1 A X1) (= (mem A X (cons A X1 X2)) (or (= X X1) (mem A X X2)))))))) _let_10 (forall ((A ty) (L uni) (X uni)) (= (mem A X L) (mem A X (reverse A L)))) (forall ((A ty) (Q uni)) (= (length3 A Q) (length2 A (elts A Q)))) (forall ((A ty) (L uni)) (= (length2 A (reverse A L)) (length2 A L))) (forall ((A ty) (X uni)) (=> (sort1 A X) (and (= (num_occ1 A X (nil A)) 0) (forall ((X1 uni) (X2 uni)) (let ((_let_1 (num_occ1 A X X2))) (let ((_let_2 (num_occ1 A X (cons A X1 X2)))) (let ((_let_3 (= X X1))) (=> (sort1 A X1) (and (=> _let_3 (= _let_2 (+ 1 _let_1))) (=> (not _let_3) (= _let_2 (+ 0 _let_1)))))))))))) (forall ((A ty) (X uni)) (sort1 (list A) (elts A X))) _let_9 (forall ((A ty) (X uni) (X1 uni)) (sort1 (list A) (infix_plpl A X X1))) (forall ((A ty) (X uni)) (sort1 (t A) (mk_t A X))) (forall ((A ty) (L1 uni) (L2 uni) (K1 uni) (K2 uni)) (=> (permut A L1 K1) (=> (permut A L2 K2) (permut A (infix_plpl A L1 L2) (infix_plpl A K1 K2))))) (forall ((A ty) (X uni) (L uni)) (= (num_occ1 A X L) (num_occ1 A X (reverse A L)))) (forall ((X elt1) (L list_elt)) (= (sorted1 (tb2t (cons elt (t2tb1 X) (t2tb L)))) (and (forall ((Y elt1)) (=> (mem elt (t2tb1 Y) (t2tb L)) (le1 X Y))) (sorted1 L)))) (forall ((A ty)) (let ((_let_1 (nil A))) (and (= (reverse A _let_1) _let_1) (forall ((X uni) (X1 uni)) (= (reverse A (cons A X X1)) (infix_plpl A (reverse A X1) (cons A X (nil A)))))))) (forall ((U bool1)) (or (= U true1) (= U false1))) _let_8 _let_7 (forall ((X elt1) (Y elt1) (L list_elt)) (let ((_let_1 (cons elt (t2tb1 Y) (t2tb L)))) (=> (le1 X Y) (=> (sorted1 (tb2t _let_1)) (sorted1 (tb2t (cons elt (t2tb1 X) _let_1))))))) (forall ((A ty) (X uni) (Y uni) (L uni)) (permut A (cons A X (cons A Y L)) (cons A Y (cons A X L)))) (forall ((A ty) (X bool1) (X1 uni) (X2 uni)) (sort1 A (match_bool1 A X X1 X2))) (forall ((A ty) (X uni) (L1 uni) (L2 uni)) (=> (permut A L1 L2) (=> (mem A X L1) (mem A X L2)))) (sorted1 _let_6) (forall ((X elt1) (Y elt1)) (or (le1 Y X) (le1 X Y))) (forall ((A ty)) (sort1 A (witness1 A))) (forall ((A ty) (Z uni) (Z1 uni)) (=> (sort1 A Z1) (= (match_bool1 A false1 Z Z1) Z1))) (forall ((A ty) (U uni)) (= (elts A (mk_t A U)) U)) (forall ((L1 list_elt) (L2 list_elt)) (= (and (forall ((X elt1) (Y elt1)) (=> (mem elt (t2tb1 X) (t2tb L1)) (=> (mem elt (t2tb1 Y) (t2tb L2)) (le1 X Y)))) (sorted1 L2) (sorted1 L1)) (sorted1 (tb2t (infix_plpl elt (t2tb L1) (t2tb L2)))))) (forall ((A ty) (X uni) (L1 uni) (L2 uni)) (= (or (mem A X L2) (mem A X L1)) (mem A X (infix_plpl A L1 L2)))) (forall ((A ty) (L1 uni) (L2 uni)) (=> (permut A L1 L2) (= (length2 A L1) (length2 A L2)))) (forall ((A ty) (X uni)) (sort1 (list A) (cons_proj_21 A X))) (forall ((A ty) (L1 uni) (L2 uni) (X uni)) (= (infix_plpl A (reverse A (cons A X L1)) L2) (infix_plpl A (reverse A L1) (cons A X L2)))) (forall ((A ty) (Z uni) (Z1 uni)) (=> (sort1 A Z) (= (match_bool1 A true1 Z Z1) Z))) (forall ((A ty) (A1 ty) (X uni) (X1 uni) (X2 uni)) (sort1 A1 (match_list1 A1 A X X1 X2))) (forall ((X list_elt)) (sort1 (list elt) (t2tb X))) (forall ((A ty) (X uni) (L1 uni) (L2 uni)) (= (num_occ1 A X (infix_plpl A L1 L2)) (+ (num_occ1 A X L1) (num_occ1 A X L2)))) (forall ((A ty) (L uni)) (<= 0 (length2 A L))) _let_4 _let_3 (forall ((A ty) (A1 ty) (Z uni) (Z1 uni) (U uni) (U1 uni)) (=> (sort1 A1 Z1) (= (match_list1 A1 A (cons A U U1) Z Z1) Z1))) (forall ((A ty) (L1 uni) (L2 uni) (L3 uni)) (permut A (infix_plpl A (infix_plpl A L1 L2) L3) (infix_plpl A L1 (infix_plpl A L2 L3)))) (not (= true1 false1)) _let_2 (forall ((U tuple02)) (= U tuple03)) (forall ((A ty) (X uni) (L uni)) (= (< 0 (num_occ1 A X L)) (mem A X L))) (forall ((I list_elt)) (= (tb2t (t2tb I)) I)) (forall ((A ty) (L uni)) (permut A L L)) _let_1 (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) (forall ((A ty) (L uni)) (= (reverse A (reverse A L)) L)) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
58.03/58.24	% SZS output end Proof for theBenchmark
58.03/58.24	EOF