TSTP Solution File: ITP334_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 03:33:28 EDT 2023
% Result : Theorem 0.63s 0.98s
% Output : Proof 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.21 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.22 % Command : do_cvc5 %s %d
% 0.23/0.44 % Computer : n015.cluster.edu
% 0.23/0.44 % Model : x86_64 x86_64
% 0.23/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.44 % Memory : 8042.1875MB
% 0.23/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.44 % CPULimit : 300
% 0.23/0.44 % WCLimit : 300
% 0.23/0.44 % DateTime : Sun Aug 27 12:15:09 EDT 2023
% 0.29/0.44 % CPUTime :
% 0.29/0.66 %----Proving TF0_ARI
% 0.63/0.98 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Gxzq7KfPZs/cvc5---1.0.5_23580.p...
% 0.63/0.98 ------- get file name : TPTP file name is ITP001_1
% 0.63/0.98 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23580.smt2...
% 0.63/0.98 --- Run --finite-model-find --decision=internal at 15...
% 0.63/0.98 % SZS status Theorem for ITP001_1
% 0.63/0.98 % SZS output start Proof for ITP001_1
% 0.63/0.98 (
% 0.63/0.98 (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$'| |tptp.'top$'|)))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$b'| |tptp.'top$b'|)))) (let ((_let_3 (= _let_2 (+ _let_1 1)))) (let ((_let_4 (= _let_1 0))) (let ((_let_5 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$f'| |tptp.'top$f'|)))) (let ((_let_6 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$l'| |tptp.'top$r'|)))) (let ((_let_7 (= _let_5 0))) (let ((_let_8 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$g'| |tptp.'top$g'|)))) (let ((_let_9 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$k'| |tptp.'top$q'|)))) (let ((_let_10 (= _let_8 0))) (let ((_let_11 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$h'| |tptp.'top$h'|)))) (let ((_let_12 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$j'| |tptp.'top$p'|)))) (let ((_let_13 (= _let_11 0))) (let ((_let_14 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$e'| |tptp.'top$e'|)))) (let ((_let_15 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$d'| |tptp.'top$d'|)))) (let ((_let_16 (= _let_15 (+ _let_14 1)))) (let ((_let_17 (= _let_14 0))) (let ((_let_18 (< 0 _let_1))) (let ((_let_19 (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'nat$'| 0)) 0))) (let ((_let_20 (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'nat$'| 1)) 1))) (let ((_let_21 (<= 0 0))) (let ((_let_22 (< 0 0))) (let ((_let_23 (<= 0 1))) (let ((_let_24 (< 0 1))) (let ((_let_25 (= _let_14 1))) (let ((_let_26 (+ 0 1))) (let ((_let_27 (< _let_1 _let_26))) (let ((_let_28 (not (and (=> _let_27 _let_18) (=> (not _let_27) (< (- _let_1 _let_26) _let_1)))))) (SCOPE (SCOPE (CONTRA (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) (NOT_IMPLIES_ELIM1 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) :args ((forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$a'| |tptp.'uuf$'| A__questionmark_v0) A__questionmark_v1) (< A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (|tptp.'fun_app$b'| (|tptp.'uu$'| A__questionmark_v0) A__questionmark_v1) (- A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1$'|)) (= (|tptp.'fun_app$c'| (|tptp.'uue$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0$'|)) (= (|tptp.'fun_app$d'| (|tptp.'uud$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal$'|)) (= (|tptp.'fun_app$e'| (|tptp.'uuc$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (= (|tptp.'fun_app$f'| (|tptp.'uub$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows$'|)) (= (|tptp.'fun_app$g'| (|tptp.'uua$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$d'| A__questionmark_v1 A__questionmark_v0))) _let_28 (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (+ 0 1))) (let ((_let_3 (< _let_1 _let_2))) (=> (< 0 _let_1) (and (=> _let_3 (= _let_2 _let_1)) (=> (not _let_3) (= (+ (- _let_1 _let_2) 1) _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (< _let_1 _let_2))) (= (and (=> _let_3 (< 0 0)) (=> (not _let_3) (< 0 (- _let_1 _let_2)))) (< _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< _let_1 (+ 0 1)) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (< 0 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1))) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$a'| |tptp.'top$a'|)) (+ _let_2 1)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$c'| |tptp.'top$c'|)) (+ _let_15 1)) _let_16 _let_3 (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< 0 (- A__questionmark_v0 A__questionmark_v1)) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (- _let_2 _let_1))) (let ((_let_4 (+ _let_1 1))) (let ((_let_5 (+ _let_2 1))) (let ((_let_6 (- _let_5 _let_4))) (let ((_let_7 (< _let_2 _let_1))) (let ((_let_8 (not _let_7))) (let ((_let_9 (< _let_5 _let_4))) (and (=> _let_9 (and (=> _let_7 (= 0 0)) (=> _let_8 (= 0 _let_3)))) (=> (not _let_9) (and (=> _let_7 (= _let_6 0)) (=> _let_8 (= _let_6 _let_3))))))))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_4 (- _let_3 _let_2))) (let ((_let_5 (- _let_4 _let_1))) (let ((_let_6 (+ _let_1 1))) (let ((_let_7 (+ _let_3 1))) (let ((_let_8 (- _let_7 _let_2))) (let ((_let_9 (- _let_8 _let_6))) (let ((_let_10 (< _let_3 _let_2))) (let ((_let_11 (not _let_10))) (let ((_let_12 (- 0 _let_1))) (let ((_let_13 (and (=> _let_10 (< 0 _let_1)) (=> _let_11 (< _let_4 _let_1))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (< _let_7 _let_2))) (let ((_let_16 (not _let_15))) (let ((_let_17 (- 0 _let_6))) (let ((_let_18 (and (=> _let_15 (< 0 _let_6)) (=> _let_16 (< _let_8 _let_6))))) (and (=> _let_18 (and (=> _let_13 (= 0 0)) (=> _let_14 (and (=> _let_10 (= 0 _let_12)) (=> _let_11 (= 0 _let_5)))))) (=> (not _let_18) (and (=> _let_15 (and (=> _let_13 (= _let_17 0)) (=> _let_14 (and (=> _let_10 (= _let_17 _let_12)) (=> _let_11 (= _let_17 _let_5)))))) (=> _let_16 (and (=> _let_13 (= _let_9 0)) (=> _let_14 (and (=> _let_10 (= _let_9 _let_12)) (=> _let_11 (= _let_9 _let_5)))))))))))))))))))))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (< 0 _let_1))) (and (=> _let_2 (= 0 0)) (=> (not _let_2) (= (- 0 _let_1) 0)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (< _let_1 _let_1))) (and (=> _let_2 (= 0 0)) (=> (not _let_2) (= (- _let_1 _let_1) 0)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (< _let_1 (+ _let_1 1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_2 _let_1) (< (+ _let_2 1) (+ _let_1 1)))))) _let_7 (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (= (+ _let_2 1) (+ _let_1 1)) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (= (+ _let_2 1) (+ _let_1 1)) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 Int)) (= (- A__questionmark_v0 A__questionmark_v0) 0)) (forall ((A__questionmark_v0 Int)) (= (- A__questionmark_v0 0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Rows$'|)) (= (|tptp.'fun_app$i'| (|tptp.'minus$'| A__questionmark_v0) |tptp.'zero$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (= (- A__questionmark_v0 0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Rows$'|)) (= (|tptp.'fun_app$i'| (|tptp.'minus$'| A__questionmark_v0) A__questionmark_v0) |tptp.'zero$'|)) (forall ((A__questionmark_v0 Int)) (= (- A__questionmark_v0 A__questionmark_v0) 0)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (not (= _let_1 0)) (< 0 _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (not (= _let_1 0)) (< 0 _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< (+ _let_2 1) (+ _let_1 1)) (< _let_2 _let_1))))) _let_10 (forall ((A__questionmark_v0 |tptp.'Rows$'|)) (= (= |tptp.'zero$'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'zero$'|))) (forall ((A__questionmark_v0 Int)) (= (= 0 A__questionmark_v0) (= A__questionmark_v0 0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (= (- (- A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (- (- A__questionmark_v0 A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (= (- A__questionmark_v0 A__questionmark_v1) (- A__questionmark_v2 A__questionmark_v3)) (= (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (not (= _let_1 (+ _let_1 1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (= (+ _let_2 1) (+ _let_1 1)) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (not (= _let_1 _let_2)) (=> (< _let_1 _let_2) false) (=> (< _let_2 _let_1) false)) false)))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (not (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (not (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3)))))) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3))) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_1 _let_1) false))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_2 _let_1) (not (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (< _let_1 _let_2) (not (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (not (< _let_1 _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (= (not (= _let_1 _let_2)) (or (< _let_1 _let_2) (< _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Rows$'|) (A__questionmark_v1 |tptp.'Rows_bool_fun$'|)) (= (|tptp.'member$d'| A__questionmark_v0 (|tptp.'collect$'| A__questionmark_v1)) (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (|tptp.'member$c'| A__questionmark_v0 (|tptp.'collect$a'| A__questionmark_v1)) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Literal$'|) (A__questionmark_v1 |tptp.'Literal_bool_fun$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'collect$b'| A__questionmark_v1)) (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num0$'|) (A__questionmark_v1 |tptp.'Num0_bool_fun$'|)) (= (|tptp.'member$a'| A__questionmark_v0 (|tptp.'collect$c'| A__questionmark_v1)) (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num1$'|) (A__questionmark_v1 |tptp.'Num1_bool_fun$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'collect$d'| A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (= (|tptp.'collect$'| (|tptp.'uua$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'collect$a'| (|tptp.'uub$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (= (|tptp.'collect$b'| (|tptp.'uuc$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (= (|tptp.'collect$c'| (|tptp.'uud$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (= (|tptp.'collect$d'| (|tptp.'uue$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Rows_bool_fun$'|) (A__questionmark_v1 |tptp.'Rows_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Rows$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$'| A__questionmark_v0) (|tptp.'collect$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$a'| A__questionmark_v0) (|tptp.'collect$a'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Literal_bool_fun$'|) (A__questionmark_v1 |tptp.'Literal_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Literal$'|)) (= (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$b'| A__questionmark_v0) (|tptp.'collect$b'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Num0_bool_fun$'|) (A__questionmark_v1 |tptp.'Num0_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Num0$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$c'| A__questionmark_v0) (|tptp.'collect$c'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Num1_bool_fun$'|) (A__questionmark_v1 |tptp.'Num1_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Num1$'|)) (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$d'| A__questionmark_v0) (|tptp.'collect$d'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_4 (- _let_3 _let_2))) (let ((_let_5 (- _let_4 _let_1))) (let ((_let_6 (- _let_3 _let_1))) (let ((_let_7 (- _let_6 _let_2))) (let ((_let_8 (< _let_3 _let_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (- 0 _let_1))) (let ((_let_11 (and (=> _let_8 (< 0 _let_1)) (=> _let_9 (< _let_4 _let_1))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (< _let_3 _let_1))) (let ((_let_14 (not _let_13))) (let ((_let_15 (- 0 _let_2))) (let ((_let_16 (and (=> _let_13 (< 0 _let_2)) (=> _let_14 (< _let_6 _let_2))))) (and (=> _let_16 (and (=> _let_11 (= 0 0)) (=> _let_12 (and (=> _let_8 (= 0 _let_10)) (=> _let_9 (= 0 _let_5)))))) (=> (not _let_16) (and (=> _let_13 (and (=> _let_11 (= _let_15 0)) (=> _let_12 (and (=> _let_8 (= _let_15 _let_10)) (=> _let_9 (= _let_15 _let_5)))))) (=> _let_14 (and (=> _let_11 (= _let_7 0)) (=> _let_12 (and (=> _let_8 (= _let_7 _let_10)) (=> _let_9 (= _let_7 _let_5)))))))))))))))))))))))))) (forall ((A__questionmark_v0 |tptp.'Rows$'|) (A__questionmark_v1 |tptp.'Rows$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$i'| (|tptp.'minus$'| A__questionmark_v0) A__questionmark_v1) |tptp.'zero$'|))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 A__questionmark_v1) (= (- A__questionmark_v0 A__questionmark_v1) 0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (< (- A__questionmark_v0 A__questionmark_v2) (- A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (< (- A__questionmark_v2 A__questionmark_v1) (- A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (= (- A__questionmark_v0 A__questionmark_v1) (- A__questionmark_v2 A__questionmark_v3)) (= (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v2 A__questionmark_v3)) (< (- A__questionmark_v0 A__questionmark_v3) (- A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (not (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0)) (exists ((A__questionmark_v1 |tptp.'Nat$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (= 0 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (= 0 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) 0) false)) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) 1))) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2)))) (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| 0)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v3) (|tptp.'nat$'| 0))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'nat$'| 0)) (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1)))) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))) (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v4) 1)))))) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| 0)) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) 1)))))) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (and (=> (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0) false) (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (=> (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (= _let_1 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)) (not (= _let_1 0))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (= 0 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) 0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (= 0 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| 0)) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (< 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (not (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2))) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (not (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3))))))) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (not (= _let_1 0))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (not (< 0 _let_1)) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (=> (= _let_1 0) false) (< 0 _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (not (< _let_2 _let_1)) (= (< _let_2 (+ _let_1 1)) (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_bool_fun$'|)) (=> (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1)) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3))) (=> (and (< _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$f'| A__questionmark_v2 (|tptp.'nat$'| (+ _let_1 1)))) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_nat_bool_fun_fun$'|)) (=> (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v3) (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1)))) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat$'|) (A__questionmark_v5 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v3))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v4))) (=> (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) _let_2) (< _let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v5)) (|tptp.'fun_app$f'| _let_1 A__questionmark_v4) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$f'| _let_1 A__questionmark_v5)))))) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (< _let_2 _let_3) (< _let_3 _let_1)) (< (+ _let_2 1) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< (+ _let_2 1) (+ _let_1 1)) (< _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (not (< _let_1 _let_2)) (< _let_1 (+ _let_2 1))) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (= (< (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (+ _let_1 1)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2))) (and (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v0) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (= (not (< _let_1 _let_2)) (< _let_2 (+ _let_1 1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< _let_2 (+ _let_1 1)) (or (< _let_2 _let_1) (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2))) (or (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v0) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_2 _let_1) (< _let_2 (+ _let_1 1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (and (< _let_2 (+ _let_1 1)) (=> (< _let_2 _let_1) false) (=> (= _let_2 _let_1) false)) false)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (+ _let_2 1))) (=> (and (< _let_2 _let_1) (not (= _let_3 _let_1))) (< _let_3 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (< (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (=> (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (+ _let_1 1))) false)))) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< (+ _let_2 1) _let_1) (< _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (< _let_1 _let_2) (=> (= _let_2 (+ _let_1 1)) false) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (=> (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (+ _let_1 1))) false)))) false)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (< _let_1 _let_2))) (let ((_let_4 (= 0 0))) (let ((_let_5 (< _let_2 _let_1))) (=> (and (=> _let_5 _let_4) (=> (not _let_5) (= (- _let_2 _let_1) 0)) (=> _let_3 _let_4) (=> (not _let_3) (= (- _let_1 _let_2) 0))) (= _let_2 _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (< _let_1 0))) (and (=> _let_2 (= 0 _let_1)) (=> (not _let_2) (= (- _let_1 0) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (< _let_2 _let_1))) (=> (and (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3)))) (and (=> _let_3 (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| 0))) (=> (not _let_3) (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| (- _let_2 _let_1)))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_4 (< _let_3 _let_2))) (=> (< _let_3 _let_1) (and (=> _let_4 (< 0 _let_1)) (=> (not _let_4) (< (- _let_3 _let_2) _let_1))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_3 (- _let_2 _let_1))) (let ((_let_4 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_5 (- _let_2 _let_4))) (let ((_let_6 (< _let_2 _let_1))) (let ((_let_7 (not _let_6))) (let ((_let_8 (< _let_2 _let_4))) (=> (and (< _let_1 _let_4) (< _let_1 _let_2)) (and (=> _let_8 (and (=> _let_6 (< 0 0)) (=> _let_7 (< 0 _let_3)))) (=> (not _let_8) (and (=> _let_6 (< _let_5 0)) (=> _let_7 (< _let_5 _let_3))))))))))))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (< (- A__questionmark_v0 A__questionmark_v1) 0))) (forall ((A__questionmark_v0 |tptp.'Nat_rows_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less$'| (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$k'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (= (|tptp.'less$'| (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v2)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less$a'| (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$l'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (= (|tptp.'less$a'| (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v2)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_literal_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less$b'| (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$m'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (= (|tptp.'less$b'| (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v2)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_num0_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less$c'| (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$n'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (= (|tptp.'less$c'| (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v2)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_num1_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less$d'| (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$o'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (= (|tptp.'less$d'| (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v2)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_int_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (< (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (= (< (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_rows_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less$'| (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$k'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (|tptp.'less$'| (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less$a'| (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$l'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (|tptp.'less$a'| (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_literal_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less$b'| (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$m'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (|tptp.'less$b'| (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_num0_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less$c'| (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$n'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (|tptp.'less$c'| (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_num1_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less$d'| (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$o'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (|tptp.'less$d'| (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_int_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (< (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (< (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< _let_1 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)) (or (= _let_1 0) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (+ _let_1 1)) (< _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (< 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) (exists ((A__questionmark_v1 |tptp.'Nat$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2))) (and (|tptp.'fun_app$f'| A__questionmark_v1 (|tptp.'nat$'| 0)) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (=> (< _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$f'| A__questionmark_v1 (|tptp.'nat$'| (+ _let_1 1))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (< 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) (exists ((A__questionmark_v1 |tptp.'Nat$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2))) (or (|tptp.'fun_app$f'| A__questionmark_v1 (|tptp.'nat$'| 0)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (and (< _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$f'| A__questionmark_v1 (|tptp.'nat$'| (+ _let_1 1))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (< _let_1 _let_2))) (let ((_let_4 (< 0 _let_1))) (=> (and (< 0 _let_2) _let_4) (and (=> _let_3 _let_4) (=> (not _let_3) (< (- _let_1 _let_2) _let_1))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (+ _let_1 1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_4 (< _let_1 _let_3))) (and (=> _let_4 (< 0 _let_2)) (=> (not _let_4) (< (- _let_1 _let_3) _let_2)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (- _let_2 _let_1))) (let ((_let_4 (+ _let_1 1))) (let ((_let_5 (+ (- _let_2 _let_4) 1))) (let ((_let_6 (< _let_2 _let_1))) (let ((_let_7 (not _let_6))) (let ((_let_8 (< _let_2 _let_4))) (let ((_let_9 (+ 0 1))) (=> (< _let_1 _let_2) (and (=> _let_8 (and (=> _let_6 (= _let_9 0)) (=> _let_7 (= _let_9 _let_3)))) (=> (not _let_8) (and (=> _let_6 (= _let_5 0)) (=> _let_7 (= _let_5 _let_3)))))))))))))))) (< 0 _let_2) (< 0 _let_15) (< 0 _let_14) _let_18 (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1))) (let ((_let_3 (< _let_1 _let_2))) (let ((_let_4 (< 0 _let_1))) (=> _let_4 (and (=> _let_3 _let_4) (=> (not _let_3) (< (- _let_1 _let_2) _let_1))))))))) _let_13 (forall ((A__questionmark_v0 |tptp.'Num1$'|)) (= (|tptp.'member$'| A__questionmark_v0 |tptp.'top$e'|) true)) (forall ((A__questionmark_v0 |tptp.'Num0$'|)) (= (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$h'|) true)) (forall ((A__questionmark_v0 |tptp.'Literal$'|)) (= (|tptp.'member$b'| A__questionmark_v0 |tptp.'top$g'|) true)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$f'|) true)) (forall ((A__questionmark_v0 |tptp.'Rows$'|)) (= (|tptp.'member$d'| A__questionmark_v0 |tptp.'top$'|) true)) (forall ((A__questionmark_v0 |tptp.'Num1$'|)) (|tptp.'member$'| A__questionmark_v0 |tptp.'top$e'|)) (forall ((A__questionmark_v0 |tptp.'Num0$'|)) (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$h'|)) (forall ((A__questionmark_v0 |tptp.'Literal$'|)) (|tptp.'member$b'| A__questionmark_v0 |tptp.'top$g'|)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$f'|)) (forall ((A__questionmark_v0 |tptp.'Rows$'|)) (|tptp.'member$d'| A__questionmark_v0 |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'Num1$'|)) (= (|tptp.'fun_app$c'| |tptp.'top$i'| A__questionmark_v0) |tptp.'top$j'|)) (forall ((A__questionmark_v0 |tptp.'Num0$'|)) (= (|tptp.'fun_app$d'| |tptp.'top$k'| A__questionmark_v0) |tptp.'top$j'|)) (forall ((A__questionmark_v0 |tptp.'Literal$'|)) (= (|tptp.'fun_app$e'| |tptp.'top$l'| A__questionmark_v0) |tptp.'top$j'|)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'fun_app$f'| |tptp.'top$m'| A__questionmark_v0) |tptp.'top$j'|)) (forall ((A__questionmark_v0 |tptp.'Rows$'|)) (= (|tptp.'fun_app$g'| |tptp.'top$n'| A__questionmark_v0) |tptp.'top$j'|)) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|)) (=> (and (not (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| 0))) (exists ((A__questionmark_v1 |tptp.'Nat$'|)) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1))) (exists ((A__questionmark_v1 |tptp.'Nat$'|)) (and (not (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (and (=> (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0) false) (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (=> (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)) false))) false)) (= |tptp.'top$e'| (|tptp.'collect$d'| |tptp.'top$i'|)) (= |tptp.'top$h'| (|tptp.'collect$c'| |tptp.'top$k'|)) (= |tptp.'top$g'| (|tptp.'collect$b'| |tptp.'top$l'|)) (= |tptp.'top$f'| (|tptp.'collect$a'| |tptp.'top$m'|)) (= |tptp.'top$'| (|tptp.'collect$'| |tptp.'top$n'|)) (forall ((A__questionmark_v0 Int)) (exists ((A__questionmark_v1 Int)) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int)) (exists ((A__questionmark_v1 Int)) (< A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (and (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$b'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (and (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$c'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (and (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$d'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|) (A__questionmark_v2 |tptp.'Rows_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|) (A__questionmark_v2 |tptp.'Literal_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|) (A__questionmark_v2 |tptp.'Num0_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|) (A__questionmark_v2 |tptp.'Num1_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|) (A__questionmark_v2 |tptp.'Rows_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_set$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|) (A__questionmark_v2 |tptp.'Literal_set$'|)) (=> (and (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|) (A__questionmark_v2 |tptp.'Num0_set$'|)) (=> (and (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|) (A__questionmark_v2 |tptp.'Num1_set$'|)) (=> (and (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (not (< A__questionmark_v0 A__questionmark_v1)) (= (not (< A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (=> (< A__questionmark_v0 A__questionmark_v1) false) (=> (= A__questionmark_v0 A__questionmark_v1) false) (=> (< A__questionmark_v1 A__questionmark_v0) false)) false)) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (and (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$b'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (and (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$c'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (and (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$d'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (not (|tptp.'less$'| A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (not (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (not (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (not (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (not (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 Int)) (not (< A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Int_int_bool_fun_fun$'|) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (=> (< A__questionmark_v3 A__questionmark_v4) (|tptp.'fun_app$'| (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 Int)) (|tptp.'fun_app$'| (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v3)) (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3) (|tptp.'fun_app$'| (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)))) (|tptp.'fun_app$'| (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|) (A__questionmark_v2 |tptp.'Rows_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_set$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|) (A__questionmark_v2 |tptp.'Literal_set$'|)) (=> (and (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|) (A__questionmark_v2 |tptp.'Num0_set$'|)) (=> (and (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|) (A__questionmark_v2 |tptp.'Num1_set$'|)) (=> (and (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (< A__questionmark_v0 A__questionmark_v1)) (or (< A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|) (A__questionmark_v2 |tptp.'Rows_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less$'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_set$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less$a'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|) (A__questionmark_v2 |tptp.'Literal_set$'|)) (=> (and (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$b'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less$b'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|) (A__questionmark_v2 |tptp.'Num0_set$'|)) (=> (and (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$c'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less$c'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|) (A__questionmark_v2 |tptp.'Num1_set$'|)) (=> (and (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$d'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less$d'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v2 A__questionmark_v0)) (< A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (not (= A__questionmark_v0 A__questionmark_v1)) (=> (< A__questionmark_v0 A__questionmark_v1) false) (=> (< A__questionmark_v1 A__questionmark_v0) false)) false)) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (and (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$b'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (and (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$c'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (and (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$d'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (= A__questionmark_v0 A__questionmark_v1)) (or (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (and (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$b'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (and (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$c'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (and (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$d'| A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|) (A__questionmark_v2 |tptp.'Rows_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_set$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|) (A__questionmark_v2 |tptp.'Literal_set$'|)) (=> (and (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|) (A__questionmark_v2 |tptp.'Num0_set$'|)) (=> (and (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|) (A__questionmark_v2 |tptp.'Num1_set$'|)) (=> (and (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Int_rows_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$'| (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Int_nat_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$a'| (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$a'| A__questionmark_v0 (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Int_literal_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$b'| (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$b'| A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Int_num0_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$s'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$c'| (|tptp.'fun_app$s'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$s'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$c'| A__questionmark_v0 (|tptp.'fun_app$s'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Int_num1_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$t'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$d'| (|tptp.'fun_app$t'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$t'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$d'| A__questionmark_v0 (|tptp.'fun_app$t'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Rows_set_int_fun$'|) (A__questionmark_v2 |tptp.'Rows_set$'|) (A__questionmark_v3 |tptp.'Rows_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Rows_set$'|) (A__questionmark_v5 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Nat_set_int_fun$'|) (A__questionmark_v2 |tptp.'Nat_set$'|) (A__questionmark_v3 |tptp.'Nat_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$a'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Nat_set$'|) (A__questionmark_v5 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Literal_set_int_fun$'|) (A__questionmark_v2 |tptp.'Literal_set$'|) (A__questionmark_v3 |tptp.'Literal_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Literal_set$'|) (A__questionmark_v5 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Num0_set_int_fun$'|) (A__questionmark_v2 |tptp.'Num0_set$'|) (A__questionmark_v3 |tptp.'Num0_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$c'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Num0_set$'|) (A__questionmark_v5 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_rows_set_fun$'|) (A__questionmark_v3 |tptp.'Rows_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$'| (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$'| (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_nat_set_fun$'|) (A__questionmark_v3 |tptp.'Nat_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$a'| (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$a'| (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_literal_set_fun$'|) (A__questionmark_v3 |tptp.'Literal_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$b'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$b'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_num0_set_fun$'|) (A__questionmark_v3 |tptp.'Num0_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$s'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$c'| (|tptp.'fun_app$s'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$s'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$c'| (|tptp.'fun_app$s'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_num1_set_fun$'|) (A__questionmark_v3 |tptp.'Num1_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$t'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$d'| (|tptp.'fun_app$t'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$t'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$d'| (|tptp.'fun_app$t'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|) (A__questionmark_v2 |tptp.'Rows_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Rows_set$'|) (A__questionmark_v5 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$v'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Nat_set$'|) (A__questionmark_v5 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$v'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$v'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$v'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|) (A__questionmark_v2 |tptp.'Literal_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$w'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Literal_set$'|) (A__questionmark_v5 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$w'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$w'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$w'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|) (A__questionmark_v2 |tptp.'Num0_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Num0_set$'|) (A__questionmark_v5 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (not (|tptp.'less$'| A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (not (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (not (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (not (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (not (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 Int)) (not (< A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Rows_set_int_fun$'|) (A__questionmark_v2 |tptp.'Rows_set$'|) (A__questionmark_v3 |tptp.'Rows_set$'|)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Rows_set$'|) (A__questionmark_v5 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Nat_set_int_fun$'|) (A__questionmark_v2 |tptp.'Nat_set$'|) (A__questionmark_v3 |tptp.'Nat_set$'|)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$a'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Nat_set$'|) (A__questionmark_v5 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Literal_set_int_fun$'|) (A__questionmark_v2 |tptp.'Literal_set$'|) (A__questionmark_v3 |tptp.'Literal_set$'|)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Literal_set$'|) (A__questionmark_v5 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Num0_set_int_fun$'|) (A__questionmark_v2 |tptp.'Num0_set$'|) (A__questionmark_v3 |tptp.'Num0_set$'|)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$c'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Num0_set$'|) (A__questionmark_v5 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Num1_set_int_fun$'|) (A__questionmark_v2 |tptp.'Num1_set$'|) (A__questionmark_v3 |tptp.'Num1_set$'|)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$d'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Num1_set$'|) (A__questionmark_v5 |tptp.'Num1_set$'|)) (=> (|tptp.'less$d'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Int_rows_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$'| (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Int_nat_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$a'| A__questionmark_v0 (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$a'| (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$a'| A__questionmark_v0 (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Int_literal_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$b'| A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$b'| (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$b'| A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Int_num0_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$c'| A__questionmark_v0 (|tptp.'fun_app$s'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$c'| (|tptp.'fun_app$s'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$s'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$c'| A__questionmark_v0 (|tptp.'fun_app$s'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_rows_set_fun$'|) (A__questionmark_v3 |tptp.'Rows_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$'| (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$'| (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_nat_set_fun$'|) (A__questionmark_v3 |tptp.'Nat_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$a'| (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$a'| (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_literal_set_fun$'|) (A__questionmark_v3 |tptp.'Literal_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (|tptp.'less$b'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$b'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$b'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_num0_set_fun$'|) (A__questionmark_v3 |tptp.'Num0_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (|tptp.'less$c'| (|tptp.'fun_app$s'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$c'| (|tptp.'fun_app$s'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$s'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$c'| (|tptp.'fun_app$s'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_num1_set_fun$'|) (A__questionmark_v3 |tptp.'Num1_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (|tptp.'less$d'| (|tptp.'fun_app$t'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$d'| (|tptp.'fun_app$t'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$t'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$d'| (|tptp.'fun_app$t'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|) (A__questionmark_v2 |tptp.'Rows_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Rows_set$'|) (A__questionmark_v5 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$v'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Nat_set$'|) (A__questionmark_v5 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$v'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$v'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$v'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|) (A__questionmark_v2 |tptp.'Literal_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$w'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Literal_set$'|) (A__questionmark_v5 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$w'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$w'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$w'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|) (A__questionmark_v2 |tptp.'Num0_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Num0_set$'|) (A__questionmark_v5 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less$'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less$b'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less$c'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less$d'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (not (< A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|) (A__questionmark_v2 tptp.tlbool)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= (=> (|tptp.'less$'| A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v2 tptp.tltrue)) true))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 tptp.tlbool)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (= (=> (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v2 tptp.tltrue)) true))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|) (A__questionmark_v2 tptp.tlbool)) (=> (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (= (=> (|tptp.'less$b'| A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v2 tptp.tltrue)) true))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|) (A__questionmark_v2 tptp.tlbool)) (=> (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (= (=> (|tptp.'less$c'| A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v2 tptp.tltrue)) true))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|) (A__questionmark_v2 tptp.tlbool)) (=> (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (= (=> (|tptp.'less$d'| A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v2 tptp.tltrue)) true))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 tptp.tlbool)) (=> (< A__questionmark_v0 A__questionmark_v1) (= (=> (< A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v2 tptp.tltrue)) true))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (or (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v0 A__questionmark_v1) false))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v0 A__questionmark_v1) false))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v0 A__questionmark_v1) false))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v0 A__questionmark_v1) false))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v0 A__questionmark_v1) false))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v0 A__questionmark_v1) false))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v1 A__questionmark_v0) false))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v1 A__questionmark_v0) false))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v1 A__questionmark_v0) false))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v1 A__questionmark_v0) false))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v1 A__questionmark_v0) false))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v1 A__questionmark_v0) false))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= (not (|tptp.'less$'| A__questionmark_v1 A__questionmark_v0)) true))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (= (not (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v0)) true))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (|tptp.'less$b'| A__questionmark_v0 A__questionmark_v1) (= (not (|tptp.'less$b'| A__questionmark_v1 A__questionmark_v0)) true))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (|tptp.'less$c'| A__questionmark_v0 A__questionmark_v1) (= (not (|tptp.'less$c'| A__questionmark_v1 A__questionmark_v0)) true))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (|tptp.'less$d'| A__questionmark_v0 A__questionmark_v1) (= (not (|tptp.'less$d'| A__questionmark_v1 A__questionmark_v0)) true))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (= (not (< A__questionmark_v1 A__questionmark_v0)) true))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'Num1$'|)) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$e'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'Num0$'|)) (|tptp.'member$a'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$h'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'Literal$'|)) (|tptp.'member$b'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$g'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (|tptp.'member$c'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$f'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'Rows$'|)) (|tptp.'member$d'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$'| A__questionmark_v0))) (exists ((A__questionmark_v0 |tptp.'Num1$'|)) (|tptp.'member$'| A__questionmark_v0 |tptp.'top$e'|)) (exists ((A__questionmark_v0 |tptp.'Num0$'|)) (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$h'|)) (exists ((A__questionmark_v0 |tptp.'Literal$'|)) (|tptp.'member$b'| A__questionmark_v0 |tptp.'top$g'|)) (exists ((A__questionmark_v0 |tptp.'Nat$'|)) (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$f'|)) (exists ((A__questionmark_v0 |tptp.'Rows$'|)) (|tptp.'member$d'| A__questionmark_v0 |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'Num1_bool_fun$'|)) (not (|tptp.'less$e'| |tptp.'top$i'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num0_bool_fun$'|)) (not (|tptp.'less$f'| |tptp.'top$k'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Literal_bool_fun$'|)) (not (|tptp.'less$g'| |tptp.'top$l'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|)) (not (|tptp.'less$h'| |tptp.'top$m'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Rows_bool_fun$'|)) (not (|tptp.'less$i'| |tptp.'top$n'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (not (|tptp.'less$d'| |tptp.'top$e'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (not (|tptp.'less$c'| |tptp.'top$h'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (not (|tptp.'less$b'| |tptp.'top$g'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (not (|tptp.'less$a'| |tptp.'top$f'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (not (|tptp.'less$'| |tptp.'top$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Num1_bool_fun$'|)) (= (not (= A__questionmark_v0 |tptp.'top$i'|)) (|tptp.'less$e'| A__questionmark_v0 |tptp.'top$i'|))) (forall ((A__questionmark_v0 |tptp.'Num0_bool_fun$'|)) (= (not (= A__questionmark_v0 |tptp.'top$k'|)) (|tptp.'less$f'| A__questionmark_v0 |tptp.'top$k'|))) (forall ((A__questionmark_v0 |tptp.'Literal_bool_fun$'|)) (= (not (= A__questionmark_v0 |tptp.'top$l'|)) (|tptp.'less$g'| A__questionmark_v0 |tptp.'top$l'|))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|)) (= (not (= A__questionmark_v0 |tptp.'top$m'|)) (|tptp.'less$h'| A__questionmark_v0 |tptp.'top$m'|))) (forall ((A__questionmark_v0 |tptp.'Rows_bool_fun$'|)) (= (not (= A__questionmark_v0 |tptp.'top$n'|)) (|tptp.'less$i'| A__questionmark_v0 |tptp.'top$n'|))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (= (not (= A__questionmark_v0 |tptp.'top$e'|)) (|tptp.'less$d'| A__questionmark_v0 |tptp.'top$e'|))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (= (not (= A__questionmark_v0 |tptp.'top$h'|)) (|tptp.'less$c'| A__questionmark_v0 |tptp.'top$h'|))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (= (not (= A__questionmark_v0 |tptp.'top$g'|)) (|tptp.'less$b'| A__questionmark_v0 |tptp.'top$g'|))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (not (= A__questionmark_v0 |tptp.'top$f'|)) (|tptp.'less$a'| A__questionmark_v0 |tptp.'top$f'|))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (= (not (= A__questionmark_v0 |tptp.'top$'|)) (|tptp.'less$'| A__questionmark_v0 |tptp.'top$'|))) (not _let_22) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (< _let_1 1))) (=> (< 0 _let_1) (and (=> _let_2 (= (+ 0 1) _let_1)) (=> (not _let_2) (= (+ (- _let_1 1) 1) _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (< 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (< _let_1 1))) (=> (< 0 _let_1) (and (=> _let_2 (= _let_1 (+ 0 1))) (=> (not _let_2) (= _let_1 (+ (- _let_1 1) 1)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (- _let_1 1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_4 (- _let_3 _let_2))) (let ((_let_5 (+ _let_3 1))) (let ((_let_6 (- _let_5 _let_1))) (let ((_let_7 (< _let_1 1))) (let ((_let_8 (not _let_7))) (let ((_let_9 (- _let_3 0))) (let ((_let_10 (and (=> _let_7 (< _let_3 0)) (=> _let_8 (< _let_3 _let_2))))) (let ((_let_11 (not _let_10))) (let ((_let_12 (< _let_5 _let_1))) (=> (< 0 _let_1) (and (=> _let_12 (and (=> _let_10 (= 0 0)) (=> _let_11 (and (=> _let_7 (= 0 _let_9)) (=> _let_8 (= 0 _let_4)))))) (=> (not _let_12) (and (=> _let_10 (= _let_6 0)) (=> _let_11 (and (=> _let_7 (= _let_6 _let_9)) (=> _let_8 (= _let_6 _let_4))))))))))))))))))))) (<= _let_26 _let_2) (<= _let_26 _let_15) (<= _let_26 _let_14) (<= _let_26 _let_1) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (|tptp.'less_eq$a'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (|tptp.'less_eq$c'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (|tptp.'less_eq$d'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (<= A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (|tptp.'less_eq$a'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (|tptp.'less_eq$c'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (|tptp.'less_eq$d'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (<= A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (= _let_1 _let_1))) _let_25 (forall ((A__questionmark_v0 |tptp.'Num1$'|)) (|tptp.'fun_app$c'| |tptp.'top$i'| A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Num0$'|)) (|tptp.'fun_app$d'| |tptp.'top$k'| A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Literal$'|)) (|tptp.'fun_app$e'| |tptp.'top$l'| A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (|tptp.'fun_app$f'| |tptp.'top$m'| A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Rows$'|)) (|tptp.'fun_app$g'| |tptp.'top$n'| A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= (+ _let_2 1) (+ _let_1 1)) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (- _let_2 _let_1))) (let ((_let_4 (< _let_2 _let_1))) (let ((_let_5 (not _let_4))) (let ((_let_6 (and (=> _let_4 (< _let_2 0)) (=> _let_5 (< _let_2 _let_3))))) (=> (<= _let_1 _let_2) (and (=> _let_6 (= 0 _let_1)) (=> (not _let_6) (and (=> _let_4 (= (- _let_2 0) _let_1)) (=> _let_5 (= (- _let_2 _let_3) _let_1))))))))))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= 0 (- A__questionmark_v0 A__questionmark_v1)) (<= A__questionmark_v1 A__questionmark_v0))) (= (|tptp.'fun_app$i'| (|tptp.'minus$'| |tptp.'one$'|) |tptp.'one$'|) |tptp.'zero$'|) (= (- 1 1) 0) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (= 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)))) (= _let_1 _let_1))) _let_19 (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (= 1 _let_1) (= _let_1 1)))) _let_20 (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (< _let_2 _let_1))) (=> (<= _let_2 _let_1) (and (=> _let_3 (= 0 0)) (=> (not _let_3) (= (- _let_2 _let_1) 0)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (< _let_2 _let_1))) (= (and (=> _let_3 (= 0 0)) (=> (not _let_3) (= (- _let_2 _let_1) 0))) (<= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< _let_1 1) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (+ _let_1 1))) (let ((_let_3 (< _let_2 1))) (and (=> _let_3 (= 0 _let_1)) (=> (not _let_3) (= (- _let_2 1) _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_1 0) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (|tptp.'less_eq$c'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'less_eq$c'| A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (|tptp.'less_eq$d'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'less_eq$d'| A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (= (<= A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (=> (<= A__questionmark_v0 A__questionmark_v1) false) (=> (<= A__questionmark_v1 A__questionmark_v0) false)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (or (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v0)) (<= A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v1 A__questionmark_v0) (<= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Int_int_bool_fun_fun$'|) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (=> (<= A__questionmark_v3 A__questionmark_v4) (|tptp.'fun_app$'| (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3) (|tptp.'fun_app$'| (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)))) (|tptp.'fun_app$'| (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (let ((_let_1 (<= A__questionmark_v0 A__questionmark_v1))) (let ((_let_2 (<= A__questionmark_v2 A__questionmark_v0))) (let ((_let_3 (<= A__questionmark_v1 A__questionmark_v2))) (let ((_let_4 (<= A__questionmark_v1 A__questionmark_v0))) (let ((_let_5 (<= A__questionmark_v2 A__questionmark_v1))) (let ((_let_6 (<= A__questionmark_v0 A__questionmark_v2))) (=> (and (=> (and _let_1 _let_3) false) (=> (and _let_4 _let_6) false) (=> (and _let_6 _let_5) false) (=> (and _let_5 _let_4) false) (=> (and _let_3 _let_2) false) (=> (and _let_2 _let_1) false)) false)))))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (<= A__questionmark_v0 A__questionmark_v1)) (and (<= A__questionmark_v1 A__questionmark_v0) (not (= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_int_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (<= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v3))) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (<= (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_int_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (<= (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (<= (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)))) _let_21 (not (< 1 1)) (<= 1 1) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))))) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v4) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v4) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3)))))))) (forall ((A__questionmark_v0 Int)) (= (= 1 A__questionmark_v0) (= A__questionmark_v0 1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (or (<= _let_1 _let_2) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (and (<= _let_2 _let_1) (<= _let_1 _let_2)) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (= _let_2 _let_1) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (<= _let_2 _let_3) (<= _let_3 _let_1)) (<= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (<= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (=> _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (- _let_2 _let_1))) (let ((_let_4 (< _let_2 _let_1))) (=> (<= _let_1 _let_2) (and (=> _let_4 (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'nat$'| 0)) _let_3)) (=> (not _let_4) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'nat$'| _let_3)) _let_3))))))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (or (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (or (<= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (not (= A__questionmark_v0 A__questionmark_v1)) (<= A__questionmark_v0 A__questionmark_v1)) (< A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))) (< A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (< A__questionmark_v0 A__questionmark_v1)) (<= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (<= A__questionmark_v0 A__questionmark_v1)) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (or (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (<= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v0)) (< A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v2 A__questionmark_v0)) (< A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (or (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (<= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (or (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (not (<= A__questionmark_v0 A__questionmark_v1)) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (<= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (= (not (< A__questionmark_v0 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (not (< A__questionmark_v0 A__questionmark_v1)) (= (<= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (< A__questionmark_v0 A__questionmark_v1)) (or (not (<= A__questionmark_v0 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (not (< A__questionmark_v0 A__questionmark_v1)) (<= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (not (< A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (= (- A__questionmark_v0 A__questionmark_v1) (- A__questionmark_v2 A__questionmark_v3)) (= (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (<= (- A__questionmark_v0 A__questionmark_v2) (- A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (<= (- A__questionmark_v2 A__questionmark_v1) (- A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v3)) (<= (- A__questionmark_v0 A__questionmark_v3) (- A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (=> (|tptp.'less_eq$d'| |tptp.'top$e'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$e'|))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (=> (|tptp.'less_eq$c'| |tptp.'top$h'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$h'|))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (=> (|tptp.'less_eq$b'| |tptp.'top$g'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$g'|))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (=> (|tptp.'less_eq$a'| |tptp.'top$f'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$f'|))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (=> (|tptp.'less_eq$'| |tptp.'top$'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (= (|tptp.'less_eq$d'| |tptp.'top$e'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$e'|))) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (= (|tptp.'less_eq$c'| |tptp.'top$h'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$h'|))) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (= (|tptp.'less_eq$b'| |tptp.'top$g'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$g'|))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'less_eq$a'| |tptp.'top$f'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$f'|))) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (= (|tptp.'less_eq$'| |tptp.'top$'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (|tptp.'less_eq$d'| A__questionmark_v0 |tptp.'top$e'|)) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (|tptp.'less_eq$c'| A__questionmark_v0 |tptp.'top$h'|)) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (|tptp.'less_eq$b'| A__questionmark_v0 |tptp.'top$g'|)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (|tptp.'less_eq$a'| A__questionmark_v0 |tptp.'top$f'|)) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (|tptp.'less_eq$'| A__questionmark_v0 |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_1 0) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (<= _let_1 0) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_1 0) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (<= 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) true)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_nat_bool_fun_fun$'|)) (=> (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v3) A__questionmark_v3)) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat$'|) (A__questionmark_v5 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v3))) (=> (and (|tptp.'fun_app$f'| _let_1 A__questionmark_v4) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$f'| _let_1 A__questionmark_v5)))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v3) (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (|tptp.'fun_app$f'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_bool_fun$'|)) (=> (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3))) (=> (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$f'| A__questionmark_v2 (|tptp.'nat$'| (+ _let_1 1))))))) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (<= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3))) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (= (not (<= _let_1 _let_2)) (<= (+ _let_2 1) _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (not (<= (+ _let_1 1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (+ _let_1 1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_3 _let_2) (or (<= _let_3 _let_1) (= _let_3 _let_2))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (<= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) 1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (<= _let_2 _let_1) (<= _let_2 (+ _let_1 1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (+ _let_1 1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (and (<= _let_3 _let_2) (=> (<= _let_3 _let_1) false) (=> (= _let_3 _let_2) false)) false))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (<= (+ _let_2 1) _let_1) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v4)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v3)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v4))))) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (and (<= _let_2 _let_1) (not (= _let_2 _let_1))) (< _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (or (< _let_2 _let_1) (= _let_2 _let_1)) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_2 _let_1) (or (< _let_2 _let_1) (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_2 _let_1) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< _let_2 _let_1) (and (<= _let_2 _let_1) (not (= _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_3 (- _let_2 _let_1))) (let ((_let_4 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_5 (- _let_2 _let_4))) (let ((_let_6 (< _let_2 _let_1))) (let ((_let_7 (not _let_6))) (let ((_let_8 (< _let_2 _let_4))) (=> (<= _let_1 _let_4) (and (=> _let_8 (and (=> _let_6 (<= 0 0)) (=> _let_7 (<= 0 _let_3)))) (=> (not _let_8) (and (=> _let_6 (<= _let_5 0)) (=> _let_7 (<= _let_5 _let_3))))))))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_4 (- _let_3 _let_2))) (let ((_let_5 (- _let_3 _let_1))) (let ((_let_6 (< _let_3 _let_2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (< _let_3 _let_1))) (=> (and (<= _let_1 _let_3) (<= _let_2 _let_3)) (= (and (=> _let_8 (and (=> _let_6 (<= 0 0)) (=> _let_7 (<= 0 _let_4)))) (=> (not _let_8) (and (=> _let_6 (<= _let_5 0)) (=> _let_7 (<= _let_5 _let_4))))) (<= _let_2 _let_1)))))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (< _let_1 _let_2))) (and (=> _let_3 (<= 0 _let_1)) (=> (not _let_3) (<= (- _let_1 _let_2) _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (- _let_2 _let_1))) (let ((_let_4 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_5 (- _let_4 _let_1))) (let ((_let_6 (< _let_2 _let_1))) (let ((_let_7 (not _let_6))) (let ((_let_8 (< _let_4 _let_1))) (=> (<= _let_4 _let_2) (and (=> _let_8 (and (=> _let_6 (<= 0 0)) (=> _let_7 (<= 0 _let_3)))) (=> (not _let_8) (and (=> _let_6 (<= _let_5 0)) (=> _let_7 (<= _let_5 _let_3))))))))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (- _let_2 _let_1))) (let ((_let_4 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_5 (- _let_1 _let_4))) (let ((_let_6 (- _let_2 _let_4))) (let ((_let_7 (- _let_6 _let_5))) (let ((_let_8 (< _let_2 _let_1))) (let ((_let_9 (not _let_8))) (let ((_let_10 (< _let_1 _let_4))) (let ((_let_11 (not _let_10))) (let ((_let_12 (- _let_6 0))) (let ((_let_13 (< _let_2 _let_4))) (let ((_let_14 (not _let_13))) (let ((_let_15 (- 0 _let_5))) (let ((_let_16 (- 0 0))) (let ((_let_17 (and (=> _let_13 (and (=> _let_10 (< 0 0)) (=> _let_11 (< 0 _let_5)))) (=> _let_14 (and (=> _let_10 (< _let_6 0)) (=> _let_11 (< _let_6 _let_5))))))) (=> (and (<= _let_4 _let_2) (<= _let_4 _let_1)) (and (=> _let_17 (and (=> _let_8 (= 0 0)) (=> _let_9 (= 0 _let_3)))) (=> (not _let_17) (and (=> _let_13 (and (=> _let_10 (and (=> _let_8 (= _let_16 0)) (=> _let_9 (= _let_16 _let_3)))) (=> _let_11 (and (=> _let_8 (= _let_15 0)) (=> _let_9 (= _let_15 _let_3)))))) (=> _let_14 (and (=> _let_10 (and (=> _let_8 (= _let_12 0)) (=> _let_9 (= _let_12 _let_3)))) (=> _let_11 (and (=> _let_8 (= _let_7 0)) (=> _let_9 (= _let_7 _let_3)))))))))))))))))))))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_4 (- _let_1 _let_3))) (let ((_let_5 (- _let_2 _let_3))) (let ((_let_6 (< _let_1 _let_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (< _let_2 _let_3))) (=> (and (<= _let_3 _let_2) (<= _let_3 _let_1)) (= (and (=> _let_8 (and (=> _let_6 (<= 0 0)) (=> _let_7 (<= 0 _let_4)))) (=> (not _let_8) (and (=> _let_6 (<= _let_5 0)) (=> _let_7 (<= _let_5 _let_4))))) (<= _let_2 _let_1)))))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_4 (- _let_1 _let_3))) (let ((_let_5 (- _let_2 _let_3))) (let ((_let_6 (< _let_1 _let_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (< _let_2 _let_3))) (=> (and (<= _let_3 _let_2) (<= _let_3 _let_1)) (= (and (=> _let_8 (and (=> _let_6 (= 0 0)) (=> _let_7 (= 0 _let_4)))) (=> (not _let_8) (and (=> _let_6 (= _let_5 0)) (=> _let_7 (= _let_5 _let_4))))) (= _let_2 _let_1)))))))))))) _let_24 (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1))) 0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (=> _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (=> _let_1 _let_1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (<= (- A__questionmark_v0 A__questionmark_v1) 0))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| 0)))) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (not (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3)))) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (<= _let_2 _let_1) (< _let_2 (+ _let_1 1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< _let_2 _let_1) (<= (+ _let_2 1) _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< _let_2 (+ _let_1 1)) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (<= _let_1 _let_2) (= (< _let_2 (+ _let_1 1)) (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (<= (+ _let_2 1) _let_1) (< _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_bool_fun$'|)) (=> (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3))) (=> (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (< _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$f'| A__questionmark_v2 (|tptp.'nat$'| (+ _let_1 1)))) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_bool_fun$'|)) (=> (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3))) (=> (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (< _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$f'| A__questionmark_v2 (|tptp.'nat$'| (+ _let_1 1))))))) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= (+ _let_2 1) _let_1) (< _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_2 _let_1) (<= (+ _let_2 1) _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (+ (- _let_2 _let_1) 1))) (let ((_let_4 (+ _let_2 1))) (let ((_let_5 (- _let_4 _let_1))) (let ((_let_6 (< _let_2 _let_1))) (let ((_let_7 (not _let_6))) (let ((_let_8 (+ 0 1))) (let ((_let_9 (< _let_4 _let_1))) (=> (<= _let_1 _let_2) (and (=> _let_9 (and (=> _let_6 (= 0 _let_8)) (=> _let_7 (= 0 _let_3)))) (=> (not _let_9) (and (=> _let_6 (= _let_5 _let_8)) (=> _let_7 (= _let_5 _let_3)))))))))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (- _let_2 _let_1))) (let ((_let_4 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_5 (- _let_4 _let_1))) (let ((_let_6 (< _let_2 _let_1))) (let ((_let_7 (not _let_6))) (let ((_let_8 (< _let_4 _let_1))) (=> (and (< _let_4 _let_2) (<= _let_1 _let_4)) (and (=> _let_8 (and (=> _let_6 (< 0 0)) (=> _let_7 (< 0 _let_3)))) (=> (not _let_8) (and (=> _let_6 (< _let_5 0)) (=> _let_7 (< _let_5 _let_3))))))))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_4 (- _let_1 _let_3))) (let ((_let_5 (- _let_2 _let_3))) (let ((_let_6 (< _let_1 _let_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (< _let_2 _let_3))) (=> (and (<= _let_3 _let_2) (<= _let_3 _let_1)) (= (and (=> _let_8 (and (=> _let_6 (< 0 0)) (=> _let_7 (< 0 _let_4)))) (=> (not _let_8) (and (=> _let_6 (< _let_5 0)) (=> _let_7 (< _let_5 _let_4))))) (< _let_2 _let_1)))))))))))) (= 1 _let_26) _let_25 (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (- _let_2 1))) (let ((_let_4 (- _let_3 _let_1))) (let ((_let_5 (+ _let_1 1))) (let ((_let_6 (- _let_2 _let_5))) (let ((_let_7 (< _let_2 1))) (let ((_let_8 (not _let_7))) (let ((_let_9 (- 0 _let_1))) (let ((_let_10 (and (=> _let_7 (< 0 _let_1)) (=> _let_8 (< _let_3 _let_1))))) (let ((_let_11 (not _let_10))) (let ((_let_12 (< _let_2 _let_5))) (and (=> _let_12 (and (=> _let_10 (= 0 0)) (=> _let_11 (and (=> _let_7 (= 0 _let_9)) (=> _let_8 (= 0 _let_4)))))) (=> (not _let_12) (and (=> _let_10 (= _let_6 0)) (=> _let_11 (and (=> _let_7 (= _let_6 _let_9)) (=> _let_8 (= _let_6 _let_4)))))))))))))))))))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| 0)))) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (and (< _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (not (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3)))) (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'nat$'| (+ _let_1 1)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (=> (and (< 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$f'| A__questionmark_v1 (|tptp.'nat$'| 1)) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (=> (and (< 0 _let_1) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$f'| A__questionmark_v1 (|tptp.'nat$'| (+ _let_1 1))))))) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (< 1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)))) (=> _let_1 _let_1))) (not (< 1 0)) _let_24 (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (<= 0 (- A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Num1_set$'|)) (|tptp.'less_eq$d'| A__questionmark_v0 |tptp.'top$e'|)) (forall ((A__questionmark_v0 |tptp.'Num0_set$'|)) (|tptp.'less_eq$c'| A__questionmark_v0 |tptp.'top$h'|)) (forall ((A__questionmark_v0 |tptp.'Literal_set$'|)) (|tptp.'less_eq$b'| A__questionmark_v0 |tptp.'top$g'|)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (|tptp.'less_eq$a'| A__questionmark_v0 |tptp.'top$f'|)) (forall ((A__questionmark_v0 |tptp.'Rows_set$'|)) (|tptp.'less_eq$'| A__questionmark_v0 |tptp.'top$'|)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (not (= A__questionmark_v0 A__questionmark_v1)) (=> (< A__questionmark_v0 A__questionmark_v1) false) (=> (< A__questionmark_v1 A__questionmark_v0) false)) false)) (not (= 0 1)) (not (<= 1 0)) _let_23 _let_23 (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (- _let_2 _let_1))) (let ((_let_4 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'nat$'| _let_3)))) (let ((_let_5 (< _let_2 _let_1))) (let ((_let_6 (not _let_5))) (let ((_let_7 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'nat$'| 0)))) (and (=> _let_5 (and (=> _let_5 (= _let_7 0)) (=> _let_6 (= _let_7 _let_3)))) (=> _let_6 (and (=> _let_5 (= _let_4 0)) (=> _let_6 (= _let_4 _let_3))))))))))))) (forall ((A__questionmark_v0 Int)) (=> (and (< 0 A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (= A__questionmark_v0 _let_1) (< 0 _let_1)) false)))) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 (- A__questionmark_v1 1)) (< A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (or (<= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int)) (<= A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (or (= A__questionmark_v0 A__questionmark_v1) (not (<= A__questionmark_v0 A__questionmark_v1)) (not (<= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int)) (= (< A__questionmark_v0 A__questionmark_v0) false)) (= _let_22 false) (forall ((A__questionmark_v0 Int)) (= (<= 1 A__questionmark_v0) (< 0 A__questionmark_v0))) (= _let_21 true) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 tptp.tlbool) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (= A__questionmark_v0 tptp.tltrue))) (let ((_let_3 (not _let_2))) (let ((_let_4 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (and (=> _let_2 (and (=> _let_2 (= _let_4 _let_4)) (=> _let_3 (= _let_4 _let_1)))) (=> _let_3 (and (=> _let_2 (= _let_1 _let_4)) (=> _let_3 (= _let_1 _let_1)))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_bool_fun$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (- A__questionmark_v1 1)) (forall ((A__questionmark_v3 Int)) (=> (and (< A__questionmark_v3 A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$'| A__questionmark_v2 (- A__questionmark_v3 1))))) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_bool_fun$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v1) (forall ((A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v3 A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$'| A__questionmark_v2 (- A__questionmark_v3 1))))) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (<= A__questionmark_v0 A__questionmark_v1)) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 Int)) (=> (<= 0 A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'Nat$'|)) (= A__questionmark_v0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 Int)) (=> (and (<= 0 A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) false))) false)) _let_20 (forall ((A__questionmark_v0 Int)) (= (- A__questionmark_v0 0) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (=> (forall ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (= A__questionmark_v0 (- (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) false)) false)) _let_19 (forall ((A__questionmark_v0 Int)) (=> (< 0 A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (and (< 0 _let_1) (= A__questionmark_v0 _let_1)))))) (< 1 _let_1) _let_18 (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Num1_set$'|)) (=> (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$e'| A__questionmark_v1))) (exists ((A__questionmark_v2 |tptp.'Num1_set$'|)) (and (|tptp.'less_eq$d'| A__questionmark_v2 A__questionmark_v1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$e'| A__questionmark_v2)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Num0_set$'|)) (=> (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$h'| A__questionmark_v1))) (exists ((A__questionmark_v2 |tptp.'Num0_set$'|)) (and (|tptp.'less_eq$c'| A__questionmark_v2 A__questionmark_v1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$h'| A__questionmark_v2)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Literal_set$'|)) (=> (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$g'| A__questionmark_v1))) (exists ((A__questionmark_v2 |tptp.'Literal_set$'|)) (and (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$g'| A__questionmark_v2)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$f'| A__questionmark_v1))) (exists ((A__questionmark_v2 |tptp.'Nat_set$'|)) (and (|tptp.'less_eq$a'| A__questionmark_v2 A__questionmark_v1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$f'| A__questionmark_v2)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Rows_set$'|)) (=> (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$'| A__questionmark_v1))) (exists ((A__questionmark_v2 |tptp.'Rows_set$'|)) (and (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$'| A__questionmark_v2)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)))))) (= (|tptp.'abs$'| _let_1) |tptp.'zero$'|) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'card$i'| |tptp.'top$o'|)) 1) (forall ((A__questionmark_v0 |tptp.'Num1$'|)) (= (|tptp.'fun_app$c'| |tptp.'top$i'| A__questionmark_v0) (|tptp.'member$'| A__questionmark_v0 |tptp.'top$e'|))) (forall ((A__questionmark_v0 |tptp.'Num0$'|)) (= (|tptp.'fun_app$d'| |tptp.'top$k'| A__questionmark_v0) (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$h'|))) (forall ((A__questionmark_v0 |tptp.'Literal$'|)) (= (|tptp.'fun_app$e'| |tptp.'top$l'| A__questionmark_v0) (|tptp.'member$b'| A__questionmark_v0 |tptp.'top$g'|))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'fun_app$f'| |tptp.'top$m'| A__questionmark_v0) (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$f'|))) (forall ((A__questionmark_v0 |tptp.'Rows$'|)) (= (|tptp.'fun_app$g'| |tptp.'top$n'| A__questionmark_v0) (|tptp.'member$d'| A__questionmark_v0 |tptp.'top$'|))) (and (=> _let_17 (= _let_15 0)) (=> (not _let_17) _let_16)) (and (=> _let_13 (= _let_12 0)) (=> (not _let_13) (= _let_12 (+ _let_11 1)))) (and (=> _let_10 (= _let_9 0)) (=> (not _let_10) (= _let_9 (+ _let_8 1)))) (and (=> _let_7 (= _let_6 0)) (=> (not _let_7) (= _let_6 (+ _let_5 1)))) (and (=> _let_4 (= _let_2 0)) (=> (not _let_4) _let_3)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (= (= (+ A__questionmark_v0 A__questionmark_v1) (+ A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (= (= (+ A__questionmark_v0 A__questionmark_v1) (+ A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (= (<= (+ A__questionmark_v0 A__questionmark_v1) (+ A__questionmark_v2 A__questionmark_v1)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (= (<= (+ A__questionmark_v0 A__questionmark_v1) (+ A__questionmark_v0 A__questionmark_v2)) (<= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 Int)) (= (+ A__questionmark_v0 0) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (= (= 0 (+ A__questionmark_v0 A__questionmark_v0)) (= A__questionmark_v0 0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= (+ A__questionmark_v0 A__questionmark_v1) A__questionmark_v1) (= A__questionmark_v0 0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= (+ A__questionmark_v0 A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 (+ A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v1 0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 (+ A__questionmark_v0 A__questionmark_v1)) (= A__questionmark_v1 0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'nat$'| (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'nat$'| A__questionmark_v0)))) (let ((_let_2 (<= 0 A__questionmark_v0))) (and (=> _let_2 (= _let_1 A__questionmark_v0)) (=> (not _let_2) (= _let_1 0)))))) (forall ((B tptp.tlbool)) (or (= B tptp.tltrue) (= B tptp.tlfalse))) (not (= tptp.tltrue tptp.tlfalse)) true)))))))))))))))))))))))))))))))
% 0.63/0.98 )
% 0.63/0.98 % SZS output end Proof for ITP001_1
% 0.63/0.98 % cvc5---1.0.5 exiting
% 0.63/0.99 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------