%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT085_1 : TPTP v8.2.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n003.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 : Wed May 29 16:43:00 EDT 2024

% Result   : Theorem 15.65s 15.97s
% Output   : Proof 15.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : DAT085_1 : TPTP v8.2.0. Released v6.1.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 27 17:21:24 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_ARI
% 15.65/15.97  --- Run --finite-model-find --decision=internal at 15...
% 15.65/15.97  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.65/15.97  --- Run --no-e-matching --full-saturate-quant at 15...
% 15.65/15.97  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.VNcPlaKi4B/cvc5---1.0.5_32733.smt2
% 15.65/15.97  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.VNcPlaKi4B/cvc5---1.0.5_32733.smt2
% 15.65/15.97  (assume a0 (forall ((K Int) (L tptp.list)) (= (tptp.head (tptp.cons K L)) K)))
% 15.65/15.97  (assume a1 (forall ((K Int) (L tptp.list)) (= (tptp.tail (tptp.cons K L)) L)))
% 15.65/15.97  (assume a2 (forall ((L tptp.list)) (or (= L tptp.nil) (= L (tptp.cons (tptp.head L) (tptp.tail L))))))
% 15.65/15.97  (assume a3 (forall ((K Int) (L tptp.list)) (not (= (tptp.cons K L) tptp.nil))))
% 15.65/15.97  (assume a4 (forall ((X Int) (L tptp.list)) (= (tptp.in X L) (or (exists ((H Int) (T tptp.list)) (and (= L (tptp.cons H T)) (= X H))) (exists ((H Int) (T tptp.list)) (and (= L (tptp.cons H T)) (tptp.in X T)))))))
% 15.65/15.97  (assume a5 (forall ((N Int) (L tptp.list)) (= (tptp.inRange N L) (or (= L tptp.nil) (exists ((K Int) (T tptp.list)) (and (= L (tptp.cons K T)) (<= 0 K) (< K N) (tptp.inRange N T)))))))
% 15.65/15.97  (assume a6 (= (tptp.length tptp.nil) 0))
% 15.65/15.97  (assume a7 (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))))
% 15.65/15.97  (assume a8 (forall ((K Int)) (= (tptp.count K tptp.nil) 0)))
% 15.65/15.97  (assume a9 (forall ((K Int) (H Int) (T tptp.list) (N Int)) (=> (not (= K H)) (= (tptp.count K (tptp.cons H T)) (tptp.count K T)))))
% 15.65/15.97  (assume a10 (forall ((K Int) (H Int) (T tptp.list) (N Int)) (=> (= K H) (= (tptp.count K (tptp.cons H T)) (+ (tptp.count K T) 1)))))
% 15.65/15.97  (assume a11 (forall ((L tptp.list)) (= (tptp.append tptp.nil L) L)))
% 15.65/15.97  (assume a12 (forall ((I Int) (K tptp.list) (L tptp.list)) (= (tptp.append (tptp.cons I K) L) (tptp.cons I (tptp.append K L)))))
% 15.65/15.97  (assume a13 (forall ((N Int) (L tptp.list)) (= (tptp.in N L) (> (tptp.count N L) 0))))
% 15.65/15.97  (assume a14 (not (not (forall ((L1 tptp.list) (L2 tptp.list)) (=> (= (tptp.length L1) (tptp.length L2)) (= L1 L2))))))
% 15.65/15.97  (assume a15 true)
% 15.65/15.97  (step t1 (cl (not (= (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (not (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule equiv_pos2)
% 15.65/15.97  (step t2 (cl (= (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule refl)
% 15.65/15.97  (step t3 (cl (= (= (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false) (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))))) :rule equiv_simplify)
% 15.65/15.97  (step t4 (cl (= (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false) (not (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))))) :rule equiv2 :premises (t3))
% 15.65/15.97  (step t5 (cl (not (not (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule not_not)
% 15.65/15.97  (step t6 (cl (= (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t4 t5))
% 15.65/15.97  (step t7 (cl (=> (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t8)
% 15.65/15.97  (assume t8.a0 (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))
% 15.65/15.97  (assume t8.a1 (= 0 (tptp.length (tptp.cons 0 tptp.nil))))
% 15.65/15.97  (step t8.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 15.65/15.97  (step t8.t2 (cl (= (= false true) false)) :rule all_simplify)
% 15.65/15.97  (step t8.t3 (cl (= (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) false) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule equiv_simplify)
% 15.65/15.97  (step t8.t4 (cl (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) false) (not (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule equiv2 :premises (t8.t3))
% 15.65/15.97  (step t8.t5 (cl (not (not (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) :rule not_not)
% 15.65/15.97  (step t8.t6 (cl (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) false) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) :rule resolution :premises (t8.t4 t8.t5))
% 15.65/15.97  (step t8.t7 (cl (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) false)) :rule resolution :premises (t8.t6 t8.a0))
% 15.65/15.97  (step t8.t8 (cl (= false (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule symm :premises (t8.t7))
% 15.65/15.97  (step t8.t9 (cl (= (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) true) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule equiv_simplify)
% 15.65/15.97  (step t8.t10 (cl (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) true) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule equiv2 :premises (t8.t9))
% 15.65/15.97  (step t8.t11 (cl (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) true)) :rule resolution :premises (t8.t10 t8.a1))
% 15.65/15.97  (step t8.t12 (cl (= false true)) :rule trans :premises (t8.t8 t8.t11))
% 15.65/15.97  (step t8.t13 (cl false) :rule resolution :premises (t8.t1 t8.t2 t8.t12))
% 15.65/15.97  (step t8 (cl (not (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false) :rule subproof :discharge (t8.a0 t8.a1))
% 15.65/15.97  (step t9 (cl (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule and_pos)
% 15.65/15.97  (step t10 (cl (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) :rule and_pos)
% 15.65/15.97  (step t11 (cl false (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t8 t9 t10))
% 15.65/15.97  (step t12 (cl (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) false) :rule reordering :premises (t11))
% 15.65/15.97  (step t13 (cl (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) false) :rule contraction :premises (t12))
% 15.65/15.97  (step t14 (cl (=> (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false) false) :rule resolution :premises (t7 t13))
% 15.65/15.97  (step t15 (cl (=> (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false) (not false)) :rule implies_neg2)
% 15.65/15.97  (step t16 (cl (=> (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false) (=> (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false)) :rule resolution :premises (t14 t15))
% 15.65/15.97  (step t17 (cl (=> (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false)) :rule contraction :premises (t16))
% 15.65/15.97  (step t18 (cl (= (=> (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false) (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))))) :rule implies_simplify)
% 15.65/15.97  (step t19 (cl (not (=> (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false)) (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule equiv1 :premises (t18))
% 15.65/15.97  (step t20 (cl (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t17 t19))
% 15.65/15.97  (step t21 (cl (= (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) false)) :rule resolution :premises (t6 t20))
% 15.65/15.97  (step t22 (cl (= (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) false))) :rule cong :premises (t2 t21))
% 15.65/15.97  (step t23 (cl (= (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) false) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule all_simplify)
% 15.65/15.97  (step t24 (cl (= (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule trans :premises (t22 t23))
% 15.65/15.97  (step t25 (cl (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t26)
% 15.65/15.97  (assume t26.a0 (= (tptp.length tptp.nil) 0))
% 15.65/15.97  (assume t26.a1 (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))
% 15.65/15.97  (assume t26.a2 (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0))
% 15.65/15.97  (assume t26.a3 (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))
% 15.65/15.97  (assume t26.a4 (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))
% 15.65/15.97  (step t26.t1 (cl (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (not (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule and_neg)
% 15.65/15.97  (step t26.t2 (cl (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t26.t3)
% 15.65/15.97  (assume t26.t3.a0 (= (tptp.length tptp.nil) 0))
% 15.65/15.97  (assume t26.t3.a1 (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))
% 15.65/15.97  (step t26.t3.t1 (cl (= (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) false) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule equiv_simplify)
% 15.65/15.97  (step t26.t3.t2 (cl (not (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) false)) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule equiv1 :premises (t26.t3.t1))
% 15.65/15.97  (step t26.t3.t3 (cl (= 0 (tptp.length tptp.nil))) :rule symm :premises (t26.t3.a0))
% 15.65/15.97  (step t26.t3.t4 (cl (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.length (tptp.cons 0 tptp.nil)))) :rule refl)
% 15.65/15.97  (step t26.t3.t5 (cl (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))))) :rule cong :premises (t26.t3.t3 t26.t3.t4))
% 15.65/15.97  (step t26.t3.t6 (cl (= (= (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false) (not (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule equiv_simplify)
% 15.65/15.97  (step t26.t3.t7 (cl (= (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false) (not (not (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule equiv2 :premises (t26.t3.t6))
% 15.65/15.97  (step t26.t3.t8 (cl (not (not (not (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil)))))) (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil)))) :rule not_not)
% 15.65/15.97  (step t26.t3.t9 (cl (= (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false) (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil)))) :rule resolution :premises (t26.t3.t7 t26.t3.t8))
% 15.65/15.97  (step t26.t3.t10 (cl (=> (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false) (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil)))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t26.t3.t11)
% 15.65/15.97  (assume t26.t3.t11.a0 (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))))
% 15.65/15.97  (step t26.t3.t11.t1 (cl (not (= (<= (+ (* (- 1) (tptp.length tptp.nil)) (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (* 1 (- 1)))) false)) (not (<= (+ (* (- 1) (tptp.length tptp.nil)) (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (* 1 (- 1))))) false) :rule equiv_pos2)
% 15.65/15.97  (step t26.t3.t11.t2 (cl (= (* (- 1) (tptp.length tptp.nil)) (* (- 1) (tptp.length tptp.nil)))) :rule refl)
% 15.65/15.97  (step t26.t3.t11.t3 (cl (= (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule all_simplify)
% 15.65/15.97  (step t26.t3.t11.t4 (cl (= (+ (* (- 1) (tptp.length tptp.nil)) (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (+ (* (- 1) (tptp.length tptp.nil)) (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))))) :rule cong :premises (t26.t3.t11.t2 t26.t3.t11.t3))
% 15.65/15.97  (step t26.t3.t11.t5 (cl (= (+ (* (- 1) (tptp.length tptp.nil)) (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) :rule all_simplify)
% 15.65/15.97  (step t26.t3.t11.t6 (cl (= (+ (* (- 1) (tptp.length tptp.nil)) (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) :rule trans :premises (t26.t3.t11.t4 t26.t3.t11.t5))
% 15.65/15.97  (step t26.t3.t11.t7 (cl (= (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) :rule refl)
% 15.65/15.97  (step t26.t3.t11.t8 (cl (= (* 1 (- 1)) (- 1))) :rule all_simplify)
% 15.65/15.97  (step t26.t3.t11.t9 (cl (= (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (* 1 (- 1))) (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (- 1)))) :rule cong :premises (t26.t3.t11.t7 t26.t3.t11.t8))
% 15.65/15.97  (step t26.t3.t11.t10 (cl (= (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (- 1)) (+ (- 1) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule all_simplify)
% 15.65/15.97  (step t26.t3.t11.t11 (cl (= (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (* 1 (- 1))) (+ (- 1) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule trans :premises (t26.t3.t11.t9 t26.t3.t11.t10))
% 15.65/15.97  (step t26.t3.t11.t12 (cl (= (<= (+ (* (- 1) (tptp.length tptp.nil)) (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (* 1 (- 1)))) (<= (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (+ (- 1) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))))) :rule cong :premises (t26.t3.t11.t6 t26.t3.t11.t11))
% 15.65/15.97  (step t26.t3.t11.t13 (cl (= (<= (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (+ (- 1) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) false)) :rule all_simplify)
% 15.65/15.97  (step t26.t3.t11.t14 (cl (= (<= (+ (* (- 1) (tptp.length tptp.nil)) (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (* 1 (- 1)))) false)) :rule trans :premises (t26.t3.t11.t12 t26.t3.t11.t13))
% 15.65/15.97  (step t26.t3.t11.t15 (cl (not (= (* (- 1) (tptp.length tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (* 1 (- 1)))) (<= (+ (* (- 1) (tptp.length tptp.nil)) (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (* 1 (- 1))))) :rule la_generic :args ((- 1) (- 1) 1))
% 15.65/15.97  (step t26.t3.t11.t16 (cl (=> (and (< (- 1) 0) (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil)))) (= (* (- 1) (tptp.length tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule la_mult_neg)
% 15.65/15.97  (step t26.t3.t11.t17 (cl (not (and (< (- 1) 0) (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))))) (= (* (- 1) (tptp.length tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) :rule implies :premises (t26.t3.t11.t16))
% 15.65/15.97  (step t26.t3.t11.t18 (cl (and (< (- 1) 0) (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil)))) (not (< (- 1) 0)) (not (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))))) :rule and_neg)
% 15.65/15.97  (step t26.t3.t11.t19 (cl (= (= (< (- 1) 0) true) (< (- 1) 0))) :rule equiv_simplify)
% 15.65/15.97  (step t26.t3.t11.t20 (cl (not (= (< (- 1) 0) true)) (< (- 1) 0)) :rule equiv1 :premises (t26.t3.t11.t19))
% 15.65/15.97  (step t26.t3.t11.t21 (cl (= (< (- 1) 0) true)) :rule hole :args ((< (- 1) 0)))
% 15.65/15.97  (step t26.t3.t11.t22 (cl (< (- 1) 0)) :rule resolution :premises (t26.t3.t11.t20 t26.t3.t11.t21))
% 15.65/15.97  (step t26.t3.t11.t23 (cl (and (< (- 1) 0) (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t26.t3.t11.t18 t26.t3.t11.t22 t26.t3.t11.a0))
% 15.65/15.97  (step t26.t3.t11.t24 (cl (= (* (- 1) (tptp.length tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t26.t3.t11.t17 t26.t3.t11.t23))
% 15.65/15.97  (step t26.t3.t11.t25 (cl (=> (and (> 1 0) (= (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (- 1))) (= (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (* 1 (- 1))))) :rule la_mult_pos)
% 15.65/15.97  (step t26.t3.t11.t26 (cl (not (and (> 1 0) (= (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (- 1)))) (= (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (* 1 (- 1)))) :rule implies :premises (t26.t3.t11.t25))
% 15.65/15.97  (step t26.t3.t11.t27 (cl (and (> 1 0) (= (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (- 1))) (not (> 1 0)) (not (= (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (- 1)))) :rule and_neg)
% 15.65/15.97  (step t26.t3.t11.t28 (cl (= (= (> 1 0) true) (> 1 0))) :rule equiv_simplify)
% 15.65/15.97  (step t26.t3.t11.t29 (cl (not (= (> 1 0) true)) (> 1 0)) :rule equiv1 :premises (t26.t3.t11.t28))
% 15.65/15.97  (step t26.t3.t11.t30 (cl (= (> 1 0) true)) :rule hole :args ((> 1 0)))
% 15.65/15.97  (step t26.t3.t11.t31 (cl (> 1 0)) :rule resolution :premises (t26.t3.t11.t29 t26.t3.t11.t30))
% 15.65/15.97  (step t26.t3.t11.t32 (cl (not (= (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (- 1)))) (not (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (= (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (- 1))) :rule equiv_pos2)
% 15.65/15.97  (step t26.t3.t11.t33 (cl (= (= (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (- 1)) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule all_simplify)
% 15.65/15.97  (step t26.t3.t11.t34 (cl (= (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (- 1)))) :rule symm :premises (t26.t3.t11.t33))
% 15.65/15.97  (step t26.t3.t11.t35 (cl (= (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (- 1))) :rule resolution :premises (t26.t3.t11.t32 t26.t3.t11.t34 t26.t3.a1))
% 15.65/15.97  (step t26.t3.t11.t36 (cl (and (> 1 0) (= (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (- 1)))) :rule resolution :premises (t26.t3.t11.t27 t26.t3.t11.t31 t26.t3.t11.t35))
% 15.65/15.97  (step t26.t3.t11.t37 (cl (= (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (* 1 (- 1)))) :rule resolution :premises (t26.t3.t11.t26 t26.t3.t11.t36))
% 15.65/15.97  (step t26.t3.t11.t38 (cl (<= (+ (* (- 1) (tptp.length tptp.nil)) (* 1 (+ (tptp.length tptp.nil) (* (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (* 1 (- 1))))) :rule resolution :premises (t26.t3.t11.t15 t26.t3.t11.t24 t26.t3.t11.t37))
% 15.65/15.97  (step t26.t3.t11.t39 (cl false) :rule resolution :premises (t26.t3.t11.t1 t26.t3.t11.t14 t26.t3.t11.t38))
% 15.65/15.97  (step t26.t3.t11 (cl (not (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil)))) false) :rule subproof :discharge (t26.t3.t11.a0))
% 15.65/15.97  (step t26.t3.t12 (cl (=> (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false) false) :rule resolution :premises (t26.t3.t10 t26.t3.t11))
% 15.65/15.97  (step t26.t3.t13 (cl (=> (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false) (not false)) :rule implies_neg2)
% 15.65/15.97  (step t26.t3.t14 (cl (=> (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false) (=> (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false)) :rule resolution :premises (t26.t3.t12 t26.t3.t13))
% 15.65/15.97  (step t26.t3.t15 (cl (=> (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false)) :rule contraction :premises (t26.t3.t14))
% 15.65/15.97  (step t26.t3.t16 (cl (= (=> (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false) (not (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule implies_simplify)
% 15.65/15.97  (step t26.t3.t17 (cl (not (=> (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false)) (not (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))))) :rule equiv1 :premises (t26.t3.t16))
% 15.65/15.97  (step t26.t3.t18 (cl (not (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t26.t3.t15 t26.t3.t17))
% 15.65/15.97  (step t26.t3.t19 (cl (= (= (tptp.length tptp.nil) (tptp.length (tptp.cons 0 tptp.nil))) false)) :rule resolution :premises (t26.t3.t9 t26.t3.t18))
% 15.65/15.97  (step t26.t3.t20 (cl (= (= 0 (tptp.length (tptp.cons 0 tptp.nil))) false)) :rule trans :premises (t26.t3.t5 t26.t3.t19))
% 15.65/15.97  (step t26.t3.t21 (cl (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t26.t3.t2 t26.t3.t20))
% 15.65/15.97  (step t26.t3 (cl (not (= (tptp.length tptp.nil) 0)) (not (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule subproof :discharge (t26.t3.a0 t26.t3.a1))
% 15.65/15.97  (step t26.t4 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (= (tptp.length tptp.nil) 0)) :rule and_pos)
% 15.65/15.97  (step t26.t5 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) :rule and_pos)
% 15.65/15.97  (step t26.t6 (cl (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))))) :rule resolution :premises (t26.t3 t26.t4 t26.t5))
% 15.65/15.97  (step t26.t7 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule reordering :premises (t26.t6))
% 15.65/15.97  (step t26.t8 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule contraction :premises (t26.t7))
% 15.65/15.97  (step t26.t9 (cl (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t26.t2 t26.t8))
% 15.65/15.97  (step t26.t10 (cl (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (not (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule implies_neg2)
% 15.65/15.97  (step t26.t11 (cl (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t26.t9 t26.t10))
% 15.65/15.97  (step t26.t12 (cl (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule contraction :premises (t26.t11))
% 15.65/15.97  (step t26.t13 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule implies :premises (t26.t12))
% 15.65/15.97  (step t26.t14 (cl (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= (tptp.length tptp.nil) 0)) (not (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule and_neg)
% 15.65/15.97  (step t26.t15 (cl (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t26.t14 t26.a0 t26.a1))
% 15.65/15.97  (step t26.t16 (cl (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t26.t13 t26.t15))
% 15.65/15.97  (step t26.t17 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t26.t18)
% 15.65/15.97  (assume t26.t18.a0 (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))
% 15.65/15.97  (assume t26.t18.a1 (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))
% 15.65/15.97  (assume t26.t18.a2 (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))
% 15.65/15.97  (step t26.t18.t1 (cl (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)) :rule symm :premises (t26.t18.a2))
% 15.65/15.97  (step t26.t18.t2 (cl (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule symm :premises (t26.t18.t1))
% 15.65/15.97  (step t26.t18.t3 (cl (= (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)) (tptp.cons 0 (tptp.cons 0 tptp.nil)))) :rule symm :premises (t26.t18.a1))
% 15.65/15.97  (step t26.t18.t4 (cl (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) :rule symm :premises (t26.t18.t3))
% 15.65/15.97  (step t26.t18.t5 (cl (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule cong :premises (t26.t18.t4))
% 15.65/15.97  (step t26.t18.t6 (cl (= (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons 0 tptp.nil)))) :rule symm :premises (t26.t18.a0))
% 15.65/15.97  (step t26.t18.t7 (cl (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) :rule trans :premises (t26.t18.t2 t26.t18.t5 t26.t18.t6))
% 15.65/15.97  (step t26.t18 (cl (not (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (not (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) :rule subproof :discharge (t26.t18.a0 t26.t18.a1 t26.t18.a2))
% 15.65/15.97  (step t26.t19 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule and_pos)
% 15.65/15.97  (step t26.t20 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) :rule and_pos)
% 15.65/15.97  (step t26.t21 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule and_pos)
% 15.65/15.97  (step t26.t22 (cl (= 0 (tptp.length (tptp.cons 0 tptp.nil))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))))) :rule resolution :premises (t26.t18 t26.t19 t26.t20 t26.t21))
% 15.65/15.97  (step t26.t23 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) :rule reordering :premises (t26.t22))
% 15.65/15.97  (step t26.t24 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) :rule contraction :premises (t26.t23))
% 15.65/15.97  (step t26.t25 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) :rule resolution :premises (t26.t17 t26.t24))
% 15.65/15.97  (step t26.t26 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (not (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule implies_neg2)
% 15.65/15.97  (step t26.t27 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t26.t25 t26.t26))
% 15.65/15.97  (step t26.t28 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule contraction :premises (t26.t27))
% 15.65/15.97  (step t26.t29 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) :rule implies :premises (t26.t28))
% 15.65/15.97  (step t26.t30 (cl (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (not (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule and_neg)
% 15.65/15.97  (step t26.t31 (cl (=> (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)) :rule implies_neg1)
% 15.65/15.97  (anchor :step t26.t32)
% 15.65/15.97  (assume t26.t32.a0 (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0))
% 15.65/15.97  (step t26.t32.t1 (cl (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule symm :premises (t26.t32.a0))
% 15.65/15.97  (step t26.t32 (cl (not (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule subproof :discharge (t26.t32.a0))
% 15.65/15.97  (step t26.t33 (cl (=> (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t26.t31 t26.t32))
% 15.65/15.97  (step t26.t34 (cl (=> (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule implies_neg2)
% 15.65/15.97  (step t26.t35 (cl (=> (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (=> (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t26.t33 t26.t34))
% 15.65/15.97  (step t26.t36 (cl (=> (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule contraction :premises (t26.t35))
% 15.65/15.97  (step t26.t37 (cl (not (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule implies :premises (t26.t36))
% 15.65/15.97  (step t26.t38 (cl (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t26.t37 t26.a2))
% 15.65/15.97  (step t26.t39 (cl (and (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t26.t30 t26.a3 t26.a4 t26.t38))
% 15.65/15.97  (step t26.t40 (cl (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) :rule resolution :premises (t26.t29 t26.t39))
% 15.65/15.97  (step t26.t41 (cl (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t26.t1 t26.t16 t26.t40))
% 15.65/15.97  (step t26 (cl (not (= (tptp.length tptp.nil) 0)) (not (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule subproof :discharge (t26.a0 t26.a1 t26.a2 t26.a3 t26.a4))
% 15.65/15.97  (step t27 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length tptp.nil) 0)) :rule and_pos)
% 15.65/15.97  (step t28 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) :rule and_pos)
% 15.65/15.97  (step t29 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)) :rule and_pos)
% 15.65/15.97  (step t30 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule and_pos)
% 15.65/15.97  (step t31 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) :rule and_pos)
% 15.65/15.97  (step t32 (cl (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t26 t27 t28 t29 t30 t31))
% 15.65/15.97  (step t33 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule reordering :premises (t32))
% 15.65/15.97  (step t34 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule contraction :premises (t33))
% 15.65/15.97  (step t35 (cl (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t25 t34))
% 15.65/15.97  (step t36 (cl (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (not (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule implies_neg2)
% 15.65/15.97  (step t37 (cl (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil))))) (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t35 t36))
% 15.65/15.97  (step t38 (cl (=> (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (and (not (= 0 (tptp.length (tptp.cons 0 tptp.nil)))) (= 0 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule contraction :premises (t37))
% 15.65/15.97  (step t39 (cl (not (and (= (tptp.length tptp.nil) 0) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t1 t24 t38))
% 15.65/15.97  (step t40 (cl (not (= (tptp.length tptp.nil) 0)) (not (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) (not (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule not_and :premises (t39))
% 15.65/15.97  (step t41 (cl (not (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) :rule or_pos)
% 15.65/15.97  (step t42 (cl (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (not (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule reordering :premises (t41))
% 15.65/15.97  (step t43 (cl (not (= (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule equiv_pos2)
% 15.65/15.97  (step t44 (cl (= (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))))) :rule refl)
% 15.65/15.97  (step t45 (cl (= (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))))) :rule refl)
% 15.65/15.97  (step t46 (cl (= (= (= (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) true) (= (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule equiv_simplify)
% 15.65/15.97  (step t47 (cl (not (= (= (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) true)) (= (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule equiv1 :premises (t46))
% 15.65/15.97  (step t48 (cl (= (= (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))))) :rule all_simplify)
% 15.65/15.97  (step t49 (cl (= (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule refl)
% 15.65/15.97  (step t50 (cl (= (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule all_simplify)
% 15.65/15.97  (step t51 (cl (= (= (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (= (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule cong :premises (t49 t50))
% 15.65/15.97  (step t52 (cl (= (= (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) true)) :rule all_simplify)
% 15.65/15.97  (step t53 (cl (= (= (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) true)) :rule trans :premises (t51 t52))
% 15.65/15.97  (step t54 (cl (= (= (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) true)) :rule trans :premises (t48 t53))
% 15.65/15.97  (step t55 (cl (= (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t47 t54))
% 15.65/15.97  (step t56 (cl (= (= (= (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) true) (= (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule equiv_simplify)
% 15.65/15.97  (step t57 (cl (not (= (= (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) true)) (= (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule equiv1 :premises (t56))
% 15.65/15.97  (step t58 (cl (= (= (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (= (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))))) :rule all_simplify)
% 15.65/15.97  (step t59 (cl (= (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule refl)
% 15.65/15.97  (step t60 (cl (= (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule all_simplify)
% 15.65/15.97  (step t61 (cl (= (= (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (= (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule cong :premises (t59 t60))
% 15.65/15.97  (step t62 (cl (= (= (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) true)) :rule all_simplify)
% 15.65/15.97  (step t63 (cl (= (= (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) true)) :rule trans :premises (t61 t62))
% 15.65/15.97  (step t64 (cl (= (= (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) true)) :rule trans :premises (t58 t63))
% 15.65/15.97  (step t65 (cl (= (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule resolution :premises (t57 t64))
% 15.65/15.97  (step t66 (cl (= (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule cong :premises (t44 t45 t55 t65))
% 15.65/15.97  (step t67 (cl (not (= (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))))) (not (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule equiv_pos2)
% 15.65/15.97  (step t68 (cl (= (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule refl)
% 15.65/15.97  (step t69 (cl (= (= (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))))) :rule equiv_simplify)
% 15.65/15.97  (step t70 (cl (= (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) (not (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))))) :rule equiv2 :premises (t69))
% 15.65/15.97  (step t71 (cl (not (not (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule not_not)
% 15.65/15.97  (step t72 (cl (= (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule resolution :premises (t70 t71))
% 15.65/15.97  (step t73 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t74)
% 15.65/15.97  (assume t74.a0 (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))
% 15.65/15.97  (assume t74.a1 (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))))
% 15.65/15.97  (assume t74.a2 (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))
% 15.65/15.97  (assume t74.a3 (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))
% 15.65/15.97  (step t74.t1 (cl (not (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0)) (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) :rule la_generic :args (1 1))
% 15.65/15.97  (step t74.t2 (cl (or (= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0) (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0)) (not (<= 0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))))) :rule la_disequality)
% 15.65/15.97  (step t74.t3 (cl (= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0) (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0)) (not (<= 0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))))) :rule or :premises (t74.t2))
% 15.65/15.97  (step t74.t4 (cl (not (= (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0)))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0))) :rule equiv_pos2)
% 15.65/15.97  (step t74.t5 (cl (= (= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule all_simplify)
% 15.65/15.97  (step t74.t6 (cl (= (not (= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0)) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule cong :premises (t74.t5))
% 15.65/15.97  (step t74.t7 (cl (= (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0)))) :rule symm :premises (t74.t6))
% 15.65/15.97  (step t74.t8 (cl (not (= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0))) :rule resolution :premises (t74.t4 t74.t7 t74.a2))
% 15.65/15.97  (step t74.t9 (cl (not (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0)) :rule la_generic :args (1 1))
% 15.65/15.97  (step t74.t10 (cl (not (= (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) :rule equiv_pos2)
% 15.65/15.97  (step t74.t11 (cl (= (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule all_simplify)
% 15.65/15.97  (step t74.t12 (cl (= (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule symm :premises (t74.t11))
% 15.65/15.97  (step t74.t13 (cl (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) :rule resolution :premises (t74.t10 t74.t12 t74.a3))
% 15.65/15.97  (step t74.t14 (cl (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0)) :rule resolution :premises (t74.t9 t74.t13))
% 15.65/15.97  (step t74.t15 (cl (not (<= 0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))))) :rule resolution :premises (t74.t3 t74.t8 t74.t14))
% 15.65/15.97  (step t74.t16 (cl (not (= (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0) (not (<= 0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))))) (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0) (not (not (<= 0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))))) :rule equiv_pos1)
% 15.65/15.97  (step t74.t17 (cl (= (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0) (not (<= 0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))))) :rule comp_simplify)
% 15.65/15.97  (step t74.t18 (cl (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0)) :rule resolution :premises (t74.t15 t74.t16 t74.t17))
% 15.65/15.97  (step t74.t19 (cl (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) :rule resolution :premises (t74.t1 t74.t18))
% 15.65/15.97  (step t74.t20 (cl (not (= (> (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))))) (not (> (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule equiv_pos2)
% 15.65/15.97  (step t74.t21 (cl (= (> (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))))) :rule all_simplify)
% 15.65/15.97  (step t74.t22 (cl (= (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0)))) :rule all_simplify)
% 15.65/15.97  (step t74.t23 (cl (= (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0))))) :rule cong :premises (t74.t22))
% 15.65/15.97  (step t74.t24 (cl (= (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0))) :rule all_simplify)
% 15.65/15.97  (step t74.t25 (cl (= (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0))) :rule trans :premises (t74.t23 t74.t24))
% 15.65/15.97  (step t74.t26 (cl (= (> (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0))) :rule trans :premises (t74.t21 t74.t25))
% 15.65/15.97  (step t74.t27 (cl (= (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0) (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))))) :rule symm :premises (t74.t25))
% 15.65/15.97  (step t74.t28 (cl (= (> (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))))) :rule trans :premises (t74.t26 t74.t27))
% 15.65/15.97  (step t74.t29 (cl (not (= (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (> (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) (not (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) (> (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) :rule equiv_pos2)
% 15.65/15.97  (step t74.t30 (cl (= (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 0) (> (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule symm :premises (t74.t26))
% 15.65/15.97  (step t74.t31 (cl (= (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (> (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule trans :premises (t74.t25 t74.t30))
% 15.65/15.97  (step t74.t32 (cl (=> (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) false) (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t74.t33)
% 15.65/15.97  (assume t74.t33.a0 (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))
% 15.65/15.97  (step t74.t33.t1 (cl (not (= (<= (+ (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) (- 1)))) false)) (not (<= (+ (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) (- 1))))) false) :rule equiv_pos2)
% 15.65/15.97  (step t74.t33.t2 (cl (= (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (to_real (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))))) :rule all_simplify)
% 15.65/15.97  (step t74.t33.t3 (cl (= (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (to_real (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))))) :rule all_simplify)
% 15.65/15.97  (step t74.t33.t4 (cl (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (to_real (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule all_simplify)
% 15.65/15.97  (step t74.t33.t5 (cl (= (+ (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (to_real (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (to_real (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (to_real (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))))) :rule cong :premises (t74.t33.t2 t74.t33.t3 t74.t33.t4))
% 15.65/15.97  (step t74.t33.t6 (cl (= (+ (to_real (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (to_real (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (to_real (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) 0.0)) :rule all_simplify)
% 15.65/15.97  (step t74.t33.t7 (cl (= (+ (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) 0.0)) :rule trans :premises (t74.t33.t5 t74.t33.t6))
% 15.65/15.97  (step t74.t33.t8 (cl (= (* 1.0 (- 1)) (- 1.0))) :rule all_simplify)
% 15.65/15.97  (step t74.t33.t9 (cl (= (* (- 1.0) (- 1)) 1.0)) :rule all_simplify)
% 15.65/15.97  (step t74.t33.t10 (cl (= (+ (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) (- 1))) (+ (- 1.0) (- 1.0) 1.0))) :rule cong :premises (t74.t33.t8 t74.t33.t8 t74.t33.t9))
% 15.65/15.97  (step t74.t33.t11 (cl (= (+ (- 1.0) (- 1.0) 1.0) (- 1.0))) :rule all_simplify)
% 15.65/15.97  (step t74.t33.t12 (cl (= (+ (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) (- 1))) (- 1.0))) :rule trans :premises (t74.t33.t10 t74.t33.t11))
% 15.65/15.97  (step t74.t33.t13 (cl (= (<= (+ (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) (- 1)))) (<= 0.0 (- 1.0)))) :rule cong :premises (t74.t33.t7 t74.t33.t12))
% 15.65/15.97  (step t74.t33.t14 (cl (= (<= 0.0 (- 1.0)) false)) :rule all_simplify)
% 15.65/15.97  (step t74.t33.t15 (cl (= (<= (+ (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) (- 1)))) false)) :rule trans :premises (t74.t33.t13 t74.t33.t14))
% 15.65/15.97  (step t74.t33.t16 (cl (not (<= (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1)))) (not (= (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1)))) (not (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (- 1)))) (<= (+ (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) (- 1))))) :rule la_generic :args (1 (- 1) (- 1) 1))
% 15.65/15.97  (step t74.t33.t17 (cl (=> (and (> 1.0 0) (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (<= (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1))))) :rule la_mult_pos)
% 15.65/15.97  (step t74.t33.t18 (cl (not (and (> 1.0 0) (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) (<= (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1)))) :rule implies :premises (t74.t33.t17))
% 15.65/15.97  (step t74.t33.t19 (cl (and (> 1.0 0) (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (not (> 1.0 0)) (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule and_neg)
% 15.65/15.97  (step t74.t33.t20 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 15.65/15.97  (step t74.t33.t21 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t74.t33.t20))
% 15.65/15.97  (step t74.t33.t22 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 15.65/15.97  (step t74.t33.t23 (cl (> 1.0 0)) :rule resolution :premises (t74.t33.t21 t74.t33.t22))
% 15.65/15.97  (step t74.t33.t24 (cl (and (> 1.0 0) (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule resolution :premises (t74.t33.t19 t74.t33.t23 t74.t33.a0))
% 15.65/15.97  (step t74.t33.t25 (cl (<= (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1)))) :rule resolution :premises (t74.t33.t18 t74.t33.t24))
% 15.65/15.97  (step t74.t33.t26 (cl (=> (and (> 1.0 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1))) (= (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1))))) :rule la_mult_pos)
% 15.65/15.97  (step t74.t33.t27 (cl (not (and (> 1.0 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)))) (= (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1)))) :rule implies :premises (t74.t33.t26))
% 15.65/15.97  (step t74.t33.t28 (cl (and (> 1.0 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1))) (not (> 1.0 0)) (not (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)))) :rule and_neg)
% 15.65/15.97  (step t74.t33.t29 (cl (not (= (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1))) :rule equiv_pos2)
% 15.65/15.97  (step t74.t33.t30 (cl (= (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))))) :rule all_simplify)
% 15.65/15.97  (step t74.t33.t31 (cl (= (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)))) :rule symm :premises (t74.t33.t30))
% 15.65/15.97  (step t74.t33.t32 (cl (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1))) :rule resolution :premises (t74.t33.t29 t74.t33.t31 t74.a1))
% 15.65/15.97  (step t74.t33.t33 (cl (and (> 1.0 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)))) :rule resolution :premises (t74.t33.t28 t74.t33.t23 t74.t33.t32))
% 15.65/15.97  (step t74.t33.t34 (cl (= (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1)))) :rule resolution :premises (t74.t33.t27 t74.t33.t33))
% 15.65/15.97  (step t74.t33.t35 (cl (=> (and (< (- 1.0) 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (- 1))))) :rule la_mult_neg)
% 15.65/15.97  (step t74.t33.t36 (cl (not (and (< (- 1.0) 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (- 1)))) :rule implies :premises (t74.t33.t35))
% 15.65/15.97  (step t74.t33.t37 (cl (and (< (- 1.0) 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (not (< (- 1.0) 0)) (not (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule and_neg)
% 15.65/15.97  (step t74.t33.t38 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 15.65/15.97  (step t74.t33.t39 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t74.t33.t38))
% 15.65/15.97  (step t74.t33.t40 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 15.65/15.97  (step t74.t33.t41 (cl (< (- 1.0) 0)) :rule resolution :premises (t74.t33.t39 t74.t33.t40))
% 15.65/15.97  (step t74.t33.t42 (cl (not (= (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) :rule equiv_pos2)
% 15.65/15.97  (step t74.t33.t43 (cl (= (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule all_simplify)
% 15.65/15.97  (step t74.t33.t44 (cl (= (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule symm :premises (t74.t33.t43))
% 15.65/15.97  (step t74.t33.t45 (cl (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) :rule resolution :premises (t74.t33.t42 t74.t33.t44 t74.a0))
% 15.65/15.97  (step t74.t33.t46 (cl (and (< (- 1.0) 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule resolution :premises (t74.t33.t37 t74.t33.t41 t74.t33.t45))
% 15.65/15.97  (step t74.t33.t47 (cl (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (- 1)))) :rule resolution :premises (t74.t33.t36 t74.t33.t46))
% 15.65/15.97  (step t74.t33.t48 (cl (<= (+ (* 1.0 (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) (- 1))))) :rule resolution :premises (t74.t33.t16 t74.t33.t25 t74.t33.t34 t74.t33.t47))
% 15.65/15.97  (step t74.t33.t49 (cl false) :rule resolution :premises (t74.t33.t1 t74.t33.t15 t74.t33.t48))
% 15.65/15.97  (step t74.t33 (cl (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) false) :rule subproof :discharge (t74.t33.a0))
% 15.65/15.97  (step t74.t34 (cl (=> (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) false) false) :rule resolution :premises (t74.t32 t74.t33))
% 15.65/15.97  (step t74.t35 (cl (=> (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) false) (not false)) :rule implies_neg2)
% 15.65/15.97  (step t74.t36 (cl (=> (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) false) (=> (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) false)) :rule resolution :premises (t74.t34 t74.t35))
% 15.65/15.97  (step t74.t37 (cl (=> (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) false)) :rule contraction :premises (t74.t36))
% 15.65/15.97  (step t74.t38 (cl (= (=> (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) false) (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))))) :rule implies_simplify)
% 15.65/15.97  (step t74.t39 (cl (not (=> (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) false)) (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule equiv1 :premises (t74.t38))
% 15.65/15.97  (step t74.t40 (cl (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule resolution :premises (t74.t37 t74.t39))
% 15.65/15.97  (step t74.t41 (cl (> (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) :rule resolution :premises (t74.t29 t74.t31 t74.t40))
% 15.65/15.97  (step t74.t42 (cl (not (<= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule resolution :premises (t74.t20 t74.t28 t74.t41))
% 15.65/15.97  (step t74.t43 (cl) :rule resolution :premises (t74.t19 t74.t42))
% 15.65/15.97  (step t74 (cl (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) :rule subproof :discharge (t74.a0 t74.a1 t74.a2 t74.a3))
% 15.65/15.97  (step t75 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule and_pos)
% 15.65/15.97  (step t76 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule and_pos)
% 15.65/15.97  (step t77 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule and_pos)
% 15.65/15.97  (step t78 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule and_pos)
% 15.65/15.97  (step t79 (cl false (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule resolution :premises (t74 t75 t76 t77 t78))
% 15.65/15.97  (step t80 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) false) :rule reordering :premises (t79))
% 15.65/15.97  (step t81 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) false) :rule contraction :premises (t80))
% 15.65/15.97  (step t82 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) false) :rule resolution :premises (t73 t81))
% 15.65/15.97  (step t83 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) (not false)) :rule implies_neg2)
% 15.65/15.97  (step t84 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false)) :rule resolution :premises (t82 t83))
% 15.65/15.97  (step t85 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false)) :rule contraction :premises (t84))
% 15.65/15.97  (step t86 (cl (= (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))))) :rule implies_simplify)
% 15.65/15.97  (step t87 (cl (not (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false)) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule equiv1 :premises (t86))
% 15.65/15.97  (step t88 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule resolution :premises (t85 t87))
% 15.65/15.97  (step t89 (cl (= (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false)) :rule resolution :premises (t72 t88))
% 15.65/15.97  (step t90 (cl (= (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false))) :rule cong :premises (t68 t89))
% 15.65/15.97  (step t91 (cl (= (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))))) :rule all_simplify)
% 15.65/15.97  (step t92 (cl (= (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))))) :rule trans :premises (t90 t91))
% 15.65/15.97  (step t93 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t94)
% 15.65/15.97  (assume t94.a0 (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))))
% 15.65/15.97  (assume t94.a1 (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))
% 15.65/15.97  (assume t94.a2 (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))
% 15.65/15.97  (assume t94.a3 (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))
% 15.65/15.97  (step t94.t1 (cl (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule and_neg)
% 15.65/15.97  (step t94.t2 (cl (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule resolution :premises (t94.t1 t94.a1 t94.a0 t94.a2 t94.a3))
% 15.65/15.97  (step t94 (cl (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule subproof :discharge (t94.a0 t94.a1 t94.a2 t94.a3))
% 15.65/15.97  (step t95 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule and_pos)
% 15.65/15.97  (step t96 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule and_pos)
% 15.65/15.97  (step t97 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule and_pos)
% 15.65/15.97  (step t98 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule and_pos)
% 15.65/15.97  (step t99 (cl (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule resolution :premises (t94 t95 t96 t97 t98))
% 15.65/15.97  (step t100 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule reordering :premises (t99))
% 15.65/15.97  (step t101 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule contraction :premises (t100))
% 15.65/15.97  (step t102 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule resolution :premises (t93 t101))
% 15.65/15.97  (step t103 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule implies_neg2)
% 15.65/15.97  (step t104 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule resolution :premises (t102 t103))
% 15.65/15.97  (step t105 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule contraction :premises (t104))
% 15.65/15.97  (step t106 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule resolution :premises (t67 t92 t105))
% 15.65/15.97  (step t107 (cl (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule not_and :premises (t106))
% 15.65/15.97  (step t108 (cl (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))))) :rule or_neg)
% 15.65/15.97  (step t109 (cl (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))))) :rule or_neg)
% 15.65/15.97  (step t110 (cl (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))))) :rule or_neg)
% 15.65/15.97  (step t111 (cl (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule or_neg)
% 15.65/15.97  (step t112 (cl (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule resolution :premises (t107 t108 t109 t110 t111))
% 15.65/15.97  (step t113 (cl (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule contraction :premises (t112))
% 15.65/15.97  (step t114 (cl (or (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule resolution :premises (t43 t66 t113))
% 15.65/15.97  (step t115 (cl (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) :rule or :premises (t114))
% 15.65/15.97  (step t116 (cl (not (= (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))))) (not (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))))) :rule equiv_pos2)
% 15.65/15.97  (step t117 (cl (= (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))))) :rule refl)
% 15.65/15.97  (step t118 (cl (= (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))))) :rule all_simplify)
% 15.65/15.97  (step t119 (cl (= (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))))) :rule cong :premises (t117 t118))
% 15.65/15.97  (step t120 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t121)
% 15.65/15.97  (assume t121.a0 (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))))
% 15.65/15.97  (step t121.t1 (cl (or (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule forall_inst :args ((:= H 0) (:= T (tptp.cons 0 tptp.nil))))
% 15.65/15.97  (step t121.t2 (cl (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) :rule or :premises (t121.t1))
% 15.65/15.97  (step t121.t3 (cl (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t121.t2 t121.a0))
% 15.65/15.97  (step t121 (cl (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) :rule subproof :discharge (t121.a0))
% 15.65/15.97  (step t122 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t120 t121))
% 15.65/15.97  (step t123 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule implies_neg2)
% 15.65/15.97  (step t124 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t122 t123))
% 15.65/15.97  (step t125 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule contraction :premises (t124))
% 15.65/15.97  (step t126 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))))) :rule resolution :premises (t116 t119 t125))
% 15.65/15.97  (step t127 (cl (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule implies :premises (t126))
% 15.65/15.97  (step t128 (cl (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t127 a7))
% 15.65/15.97  (step t129 (cl (not (= (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))))) (not (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule equiv_pos2)
% 15.65/15.97  (step t130 (cl (= (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule all_simplify)
% 15.65/15.97  (step t131 (cl (= (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))))) :rule cong :premises (t117 t130))
% 15.65/15.97  (step t132 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t133)
% 15.65/15.97  (assume t133.a0 (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))))
% 15.65/15.97  (step t133.t1 (cl (or (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule forall_inst :args ((:= H (tptp.length (tptp.cons 0 tptp.nil))) (:= T (tptp.cons 0 tptp.nil))))
% 15.65/15.97  (step t133.t2 (cl (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) :rule or :premises (t133.t1))
% 15.65/15.97  (step t133.t3 (cl (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t133.t2 t133.a0))
% 15.65/15.97  (step t133 (cl (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) :rule subproof :discharge (t133.a0))
% 15.65/15.97  (step t134 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t132 t133))
% 15.65/15.97  (step t135 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule implies_neg2)
% 15.65/15.97  (step t136 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil))))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t134 t135))
% 15.65/15.97  (step t137 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))) (+ 1 (tptp.length (tptp.cons 0 tptp.nil)))))) :rule contraction :premises (t136))
% 15.65/15.97  (step t138 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule resolution :premises (t129 t131 t137))
% 15.65/15.97  (step t139 (cl (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule implies :premises (t138))
% 15.65/15.97  (step t140 (cl (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t139 a7))
% 15.65/15.97  (step t141 (cl (not (= (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) (not (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule equiv_pos2)
% 15.65/15.97  (step t142 (cl (= (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule refl)
% 15.65/15.97  (step t143 (cl (= (= (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule equiv_simplify)
% 15.65/15.97  (step t144 (cl (= (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) (not (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule equiv2 :premises (t143))
% 15.65/15.97  (step t145 (cl (not (not (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule not_not)
% 15.65/15.97  (step t146 (cl (= (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule resolution :premises (t144 t145))
% 15.65/15.97  (step t147 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t148)
% 15.65/15.97  (assume t148.a0 (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))
% 15.65/15.97  (assume t148.a1 (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))))
% 15.65/15.97  (assume t148.a2 (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))
% 15.65/15.97  (step t148.t1 (cl (not (= (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) (not (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule equiv_pos2)
% 15.65/15.97  (step t148.t2 (cl (= (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule all_simplify)
% 15.65/15.97  (step t148.t3 (cl (not (= (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) :rule equiv_pos2)
% 15.65/15.97  (step t148.t4 (cl (= (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule symm :premises (t148.t2))
% 15.65/15.97  (step t148.t5 (cl (=> (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) false) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) :rule implies_neg1)
% 15.65/15.97  (anchor :step t148.t6)
% 15.65/15.97  (assume t148.t6.a0 (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))
% 15.65/15.97  (step t148.t6.t1 (cl (not (= (<= (+ (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* (- 1.0) 1) (* (- 1.0) (- 1)) (* 1.0 (- 1)))) false)) (not (<= (+ (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* (- 1.0) 1) (* (- 1.0) (- 1)) (* 1.0 (- 1))))) false) :rule equiv_pos2)
% 15.65/15.97  (step t148.t6.t2 (cl (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (to_real (+ (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t3 (cl (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (to_real (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))))) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t4 (cl (= (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (to_real (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))))) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t5 (cl (= (+ (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (to_real (+ (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (to_real (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (to_real (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))))) :rule cong :premises (t148.t6.t2 t148.t6.t3 t148.t6.t4))
% 15.65/15.97  (step t148.t6.t6 (cl (= (+ (to_real (+ (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (to_real (+ (* (- 1) (tptp.length (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (to_real (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) 0.0)) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t7 (cl (= (+ (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) 0.0)) :rule trans :premises (t148.t6.t5 t148.t6.t6))
% 15.65/15.97  (step t148.t6.t8 (cl (= (* (- 1.0) 1) (- 1.0))) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t9 (cl (= (* (- 1.0) (- 1)) 1.0)) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t10 (cl (= (* 1.0 (- 1)) (- 1.0))) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t11 (cl (= (+ (* (- 1.0) 1) (* (- 1.0) (- 1)) (* 1.0 (- 1))) (+ (- 1.0) 1.0 (- 1.0)))) :rule cong :premises (t148.t6.t8 t148.t6.t9 t148.t6.t10))
% 15.65/15.97  (step t148.t6.t12 (cl (= (+ (- 1.0) 1.0 (- 1.0)) (- 1.0))) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t13 (cl (= (+ (* (- 1.0) 1) (* (- 1.0) (- 1)) (* 1.0 (- 1))) (- 1.0))) :rule trans :premises (t148.t6.t11 t148.t6.t12))
% 15.65/15.97  (step t148.t6.t14 (cl (= (<= (+ (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* (- 1.0) 1) (* (- 1.0) (- 1)) (* 1.0 (- 1)))) (<= 0.0 (- 1.0)))) :rule cong :premises (t148.t6.t7 t148.t6.t13))
% 15.65/15.97  (step t148.t6.t15 (cl (= (<= 0.0 (- 1.0)) false)) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t16 (cl (= (<= (+ (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* (- 1.0) 1) (* (- 1.0) (- 1)) (* 1.0 (- 1)))) false)) :rule trans :premises (t148.t6.t14 t148.t6.t15))
% 15.65/15.97  (step t148.t6.t17 (cl (not (<= (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) 1))) (not (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (- 1)))) (not (= (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1)))) (<= (+ (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* (- 1.0) 1) (* (- 1.0) (- 1)) (* 1.0 (- 1))))) :rule la_generic :args (1 (- 1) (- 1) 1))
% 15.65/15.97  (step t148.t6.t18 (cl (=> (and (< (- 1.0) 0) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (<= (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) 1)))) :rule la_mult_neg)
% 15.65/15.97  (step t148.t6.t19 (cl (not (and (< (- 1.0) 0) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (<= (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) 1))) :rule implies :premises (t148.t6.t18))
% 15.65/15.97  (step t148.t6.t20 (cl (and (< (- 1.0) 0) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (not (< (- 1.0) 0)) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule and_neg)
% 15.65/15.97  (step t148.t6.t21 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 15.65/15.97  (step t148.t6.t22 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t148.t6.t21))
% 15.65/15.97  (step t148.t6.t23 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 15.65/15.97  (step t148.t6.t24 (cl (< (- 1.0) 0)) :rule resolution :premises (t148.t6.t22 t148.t6.t23))
% 15.65/15.97  (step t148.t6.t25 (cl (and (< (- 1.0) 0) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule resolution :premises (t148.t6.t20 t148.t6.t24 t148.t6.a0))
% 15.65/15.97  (step t148.t6.t26 (cl (<= (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) 1))) :rule resolution :premises (t148.t6.t19 t148.t6.t25))
% 15.65/15.97  (step t148.t6.t27 (cl (=> (and (< (- 1.0) 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1))) (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (- 1))))) :rule la_mult_neg)
% 15.65/15.97  (step t148.t6.t28 (cl (not (and (< (- 1.0) 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)))) (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (- 1)))) :rule implies :premises (t148.t6.t27))
% 15.65/15.97  (step t148.t6.t29 (cl (and (< (- 1.0) 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1))) (not (< (- 1.0) 0)) (not (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)))) :rule and_neg)
% 15.65/15.97  (step t148.t6.t30 (cl (not (= (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1))) :rule equiv_pos2)
% 15.65/15.97  (step t148.t6.t31 (cl (= (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))))) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t32 (cl (= (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)))) :rule symm :premises (t148.t6.t31))
% 15.65/15.97  (step t148.t6.t33 (cl (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1))) :rule resolution :premises (t148.t6.t30 t148.t6.t32 t148.a1))
% 15.65/15.97  (step t148.t6.t34 (cl (and (< (- 1.0) 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (- 1)))) :rule resolution :premises (t148.t6.t29 t148.t6.t24 t148.t6.t33))
% 15.65/15.97  (step t148.t6.t35 (cl (= (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (- 1)))) :rule resolution :premises (t148.t6.t28 t148.t6.t34))
% 15.65/15.97  (step t148.t6.t36 (cl (=> (and (> 1.0 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (= (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1))))) :rule la_mult_pos)
% 15.65/15.97  (step t148.t6.t37 (cl (not (and (> 1.0 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) (= (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1)))) :rule implies :premises (t148.t6.t36))
% 15.65/15.97  (step t148.t6.t38 (cl (and (> 1.0 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) (not (> 1.0 0)) (not (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule and_neg)
% 15.65/15.97  (step t148.t6.t39 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 15.65/15.97  (step t148.t6.t40 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t148.t6.t39))
% 15.65/15.97  (step t148.t6.t41 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 15.65/15.97  (step t148.t6.t42 (cl (> 1.0 0)) :rule resolution :premises (t148.t6.t40 t148.t6.t41))
% 15.65/15.97  (step t148.t6.t43 (cl (not (= (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) :rule equiv_pos2)
% 15.65/15.97  (step t148.t6.t44 (cl (= (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) :rule all_simplify)
% 15.65/15.97  (step t148.t6.t45 (cl (= (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule symm :premises (t148.t6.t44))
% 15.65/15.97  (step t148.t6.t46 (cl (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1))) :rule resolution :premises (t148.t6.t43 t148.t6.t45 t148.a0))
% 15.65/15.97  (step t148.t6.t47 (cl (and (> 1.0 0) (= (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (- 1)))) :rule resolution :premises (t148.t6.t38 t148.t6.t42 t148.t6.t46))
% 15.65/15.97  (step t148.t6.t48 (cl (= (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* 1.0 (- 1)))) :rule resolution :premises (t148.t6.t37 t148.t6.t47))
% 15.65/15.97  (step t148.t6.t49 (cl (<= (+ (* (- 1.0) (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (* (- 1.0) (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (* 1.0 (+ (tptp.length (tptp.cons 0 tptp.nil)) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))) (+ (* (- 1.0) 1) (* (- 1.0) (- 1)) (* 1.0 (- 1))))) :rule resolution :premises (t148.t6.t17 t148.t6.t26 t148.t6.t35 t148.t6.t48))
% 15.65/15.97  (step t148.t6.t50 (cl false) :rule resolution :premises (t148.t6.t1 t148.t6.t16 t148.t6.t49))
% 15.65/15.97  (step t148.t6 (cl (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) :rule subproof :discharge (t148.t6.a0))
% 15.65/15.97  (step t148.t7 (cl (=> (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) false) false) :rule resolution :premises (t148.t5 t148.t6))
% 15.65/15.97  (step t148.t8 (cl (=> (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) false) (not false)) :rule implies_neg2)
% 15.65/15.97  (step t148.t9 (cl (=> (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) false) (=> (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) false)) :rule resolution :premises (t148.t7 t148.t8))
% 15.65/15.97  (step t148.t10 (cl (=> (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) false)) :rule contraction :premises (t148.t9))
% 15.65/15.97  (step t148.t11 (cl (= (=> (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) false) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule implies_simplify)
% 15.65/15.97  (step t148.t12 (cl (not (=> (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1) false)) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule equiv1 :premises (t148.t11))
% 15.65/15.97  (step t148.t13 (cl (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule resolution :premises (t148.t10 t148.t12))
% 15.65/15.97  (step t148.t14 (cl (< (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) :rule resolution :premises (t148.t3 t148.t4 t148.t13))
% 15.65/15.97  (step t148.t15 (cl (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule resolution :premises (t148.t1 t148.t2 t148.t14))
% 15.65/15.97  (step t148.t16 (cl) :rule resolution :premises (t148.a2 t148.t15))
% 15.65/15.97  (step t148 (cl (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) :rule subproof :discharge (t148.a0 t148.a1 t148.a2))
% 15.65/15.97  (step t149 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule and_pos)
% 15.65/15.97  (step t150 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule and_pos)
% 15.65/15.97  (step t151 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) :rule and_pos)
% 15.65/15.97  (step t152 (cl false (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule resolution :premises (t148 t149 t150 t151))
% 15.65/15.97  (step t153 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) :rule reordering :premises (t152))
% 15.65/15.97  (step t154 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) false) :rule contraction :premises (t153))
% 15.65/15.97  (step t155 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) false) :rule resolution :premises (t147 t154))
% 15.65/15.97  (step t156 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) (not false)) :rule implies_neg2)
% 15.65/15.97  (step t157 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false)) :rule resolution :premises (t155 t156))
% 15.65/15.97  (step t158 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false)) :rule contraction :premises (t157))
% 15.65/15.97  (step t159 (cl (= (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule implies_simplify)
% 15.65/15.97  (step t160 (cl (not (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false)) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule equiv1 :premises (t159))
% 15.65/15.97  (step t161 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule resolution :premises (t158 t160))
% 15.65/15.97  (step t162 (cl (= (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false)) :rule resolution :premises (t146 t161))
% 15.65/15.97  (step t163 (cl (= (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false))) :rule cong :premises (t142 t162))
% 15.65/15.97  (step t164 (cl (= (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) false) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule all_simplify)
% 15.65/15.97  (step t165 (cl (= (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))))) :rule trans :premises (t163 t164))
% 15.65/15.97  (step t166 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t167)
% 15.65/15.97  (assume t167.a0 (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))))
% 15.65/15.97  (assume t167.a1 (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))))
% 15.65/15.97  (assume t167.a2 (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))
% 15.65/15.97  (step t167.t1 (cl (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule and_neg)
% 15.65/15.97  (step t167.t2 (cl (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule resolution :premises (t167.t1 t167.a1 t167.a0 t167.a2))
% 15.65/15.97  (step t167 (cl (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule subproof :discharge (t167.a0 t167.a1 t167.a2))
% 15.65/15.97  (step t168 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule and_pos)
% 15.65/15.97  (step t169 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule and_pos)
% 15.65/15.97  (step t170 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) :rule and_pos)
% 15.65/15.97  (step t171 (cl (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule resolution :premises (t167 t168 t169 t170))
% 15.65/15.97  (step t172 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule reordering :premises (t171))
% 15.65/15.97  (step t173 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule contraction :premises (t172))
% 15.65/15.97  (step t174 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule resolution :premises (t166 t173))
% 15.65/15.97  (step t175 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule implies_neg2)
% 15.65/15.97  (step t176 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule resolution :premises (t174 t175))
% 15.65/15.97  (step t177 (cl (=> (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)) (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule contraction :premises (t176))
% 15.65/15.97  (step t178 (cl (not (and (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1)))) :rule resolution :premises (t141 t165 t177))
% 15.65/15.97  (step t179 (cl (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule not_and :premises (t178))
% 15.65/15.97  (step t180 (cl (not (>= (+ (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (* (- 1) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) 1))) :rule resolution :premises (t179 t128 t140))
% 15.65/15.97  (step t181 (cl (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t115 t128 t140 t180))
% 15.65/15.97  (step t182 (cl (=> (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2)))) :rule implies_neg1)
% 15.65/15.97  (anchor :step t183)
% 15.65/15.97  (assume t183.a0 (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2))))
% 15.65/15.97  (step t183.t1 (cl (or (not (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2)))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule forall_inst :args ((:= L1 (tptp.cons 0 (tptp.cons 0 tptp.nil))) (:= L2 (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))
% 15.65/15.97  (step t183.t2 (cl (not (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2)))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule or :premises (t183.t1))
% 15.65/15.97  (step t183.t3 (cl (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t183.t2 t183.a0))
% 15.65/15.97  (step t183 (cl (not (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2)))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule subproof :discharge (t183.a0))
% 15.65/15.98  (step t184 (cl (=> (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t182 t183))
% 15.65/15.98  (step t185 (cl (=> (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule implies_neg2)
% 15.65/15.98  (step t186 (cl (=> (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (=> (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t184 t185))
% 15.65/15.98  (step t187 (cl (=> (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule contraction :premises (t186))
% 15.65/15.98  (step t188 (cl (not (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2)))) (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule implies :premises (t187))
% 15.65/15.98  (step t189 (cl (not (= (not (not (forall ((L1 tptp.list) (L2 tptp.list)) (=> (= (tptp.length L1) (tptp.length L2)) (= L1 L2))))) (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2))))) (not (not (not (forall ((L1 tptp.list) (L2 tptp.list)) (=> (= (tptp.length L1) (tptp.length L2)) (= L1 L2)))))) (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2)))) :rule equiv_pos2)
% 15.65/15.98  (step t190 (cl (= (not (not (forall ((L1 tptp.list) (L2 tptp.list)) (=> (= (tptp.length L1) (tptp.length L2)) (= L1 L2))))) (forall ((L1 tptp.list) (L2 tptp.list)) (=> (= (tptp.length L1) (tptp.length L2)) (= L1 L2))))) :rule all_simplify)
% 15.65/15.98  (step t191 (cl (= (forall ((L1 tptp.list) (L2 tptp.list)) (=> (= (tptp.length L1) (tptp.length L2)) (= L1 L2))) (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2))))) :rule all_simplify)
% 15.65/15.98  (step t192 (cl (= (not (not (forall ((L1 tptp.list) (L2 tptp.list)) (=> (= (tptp.length L1) (tptp.length L2)) (= L1 L2))))) (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2))))) :rule trans :premises (t190 t191))
% 15.65/15.98  (step t193 (cl (forall ((L1 tptp.list) (L2 tptp.list)) (or (not (= (tptp.length L1) (tptp.length L2))) (= L1 L2)))) :rule resolution :premises (t189 t192 a14))
% 15.65/15.98  (step t194 (cl (or (not (= (tptp.length (tptp.cons 0 (tptp.cons 0 tptp.nil))) (tptp.length (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t188 t193))
% 15.65/15.98  (step t195 (cl (= (tptp.cons 0 (tptp.cons 0 tptp.nil)) (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))) :rule resolution :premises (t42 t181 t194))
% 15.65/15.98  (step t196 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) :rule implies_neg1)
% 15.65/15.98  (anchor :step t197)
% 15.65/15.98  (assume t197.a0 (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))))
% 15.65/15.98  (step t197.t1 (cl (or (not (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule forall_inst :args ((:= K (tptp.length (tptp.cons 0 tptp.nil))) (:= L (tptp.cons 0 tptp.nil))))
% 15.65/15.98  (step t197.t2 (cl (not (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule or :premises (t197.t1))
% 15.65/15.98  (step t197.t3 (cl (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t197.t2 t197.a0))
% 15.65/15.98  (step t197 (cl (not (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule subproof :discharge (t197.a0))
% 15.65/15.98  (step t198 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t196 t197))
% 15.65/15.98  (step t199 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule implies_neg2)
% 15.65/15.98  (step t200 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t198 t199))
% 15.65/15.98  (step t201 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil)))))) :rule contraction :premises (t200))
% 15.65/15.98  (step t202 (cl (not (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule implies :premises (t201))
% 15.65/15.98  (step t203 (cl (not (= (forall ((K Int) (L tptp.list)) (= (tptp.head (tptp.cons K L)) K)) (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))))) (not (forall ((K Int) (L tptp.list)) (= (tptp.head (tptp.cons K L)) K))) (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) :rule equiv_pos2)
% 15.65/15.98  (anchor :step t204 :args ((K Int) (:= K K) (L tptp.list) (:= L L)))
% 15.65/15.98  (step t204.t1 (cl (= K K)) :rule refl)
% 15.65/15.98  (step t204.t2 (cl (= L L)) :rule refl)
% 15.65/15.98  (step t204.t3 (cl (= (= (tptp.head (tptp.cons K L)) K) (= K (tptp.head (tptp.cons K L))))) :rule all_simplify)
% 15.65/15.98  (step t204 (cl (= (forall ((K Int) (L tptp.list)) (= (tptp.head (tptp.cons K L)) K)) (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))))) :rule bind)
% 15.65/15.98  (step t205 (cl (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) :rule resolution :premises (t203 t204 a0))
% 15.65/15.98  (step t206 (cl (= (tptp.length (tptp.cons 0 tptp.nil)) (tptp.head (tptp.cons (tptp.length (tptp.cons 0 tptp.nil)) (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t202 t205))
% 15.65/15.98  (step t207 (cl (not (= (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)))) (not (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0))) :rule equiv_pos2)
% 15.65/15.98  (step t208 (cl (= (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))))) :rule refl)
% 15.65/15.98  (step t209 (cl (= (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0))) :rule all_simplify)
% 15.65/15.98  (step t210 (cl (= (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)))) :rule cong :premises (t208 t209))
% 15.65/15.98  (step t211 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) :rule implies_neg1)
% 15.65/15.98  (anchor :step t212)
% 15.65/15.98  (assume t212.a0 (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))))
% 15.65/15.98  (step t212.t1 (cl (or (not (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule forall_inst :args ((:= K 0) (:= L (tptp.cons 0 tptp.nil))))
% 15.65/15.98  (step t212.t2 (cl (not (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule or :premises (t212.t1))
% 15.65/15.98  (step t212.t3 (cl (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t212.t2 t212.a0))
% 15.65/15.98  (step t212 (cl (not (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule subproof :discharge (t212.a0))
% 15.65/15.98  (step t213 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t211 t212))
% 15.65/15.98  (step t214 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (not (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule implies_neg2)
% 15.65/15.98  (step t215 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))))) (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t213 t214))
% 15.65/15.98  (step t216 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= 0 (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil)))))) :rule contraction :premises (t215))
% 15.65/15.98  (step t217 (cl (=> (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0))) :rule resolution :premises (t207 t210 t216))
% 15.65/15.98  (step t218 (cl (not (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L))))) (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)) :rule implies :premises (t217))
% 15.65/15.98  (step t219 (cl (= (tptp.head (tptp.cons 0 (tptp.cons 0 tptp.nil))) 0)) :rule resolution :premises (t218 t205))
% 15.65/15.98  (step t220 (cl (not (= (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil)))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))))) (not (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil))))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule equiv_pos2)
% 15.65/15.98  (step t221 (cl (= (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil))) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule all_simplify)
% 15.65/15.98  (step t222 (cl (= (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil)))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))))) :rule cong :premises (t117 t221))
% 15.65/15.98  (step t223 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil)))) (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) :rule implies_neg1)
% 15.65/15.98  (anchor :step t224)
% 15.65/15.98  (assume t224.a0 (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))))
% 15.65/15.98  (step t224.t1 (cl (or (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil))))) :rule forall_inst :args ((:= H 0) (:= T tptp.nil)))
% 15.65/15.98  (step t224.t2 (cl (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil)))) :rule or :premises (t224.t1))
% 15.65/15.98  (step t224.t3 (cl (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil)))) :rule resolution :premises (t224.t2 t224.a0))
% 15.65/15.98  (step t224 (cl (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil)))) :rule subproof :discharge (t224.a0))
% 15.65/15.98  (step t225 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil)))) :rule resolution :premises (t223 t224))
% 15.65/15.98  (step t226 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil)))) (not (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil))))) :rule implies_neg2)
% 15.65/15.98  (step t227 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil)))) (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil))))) :rule resolution :premises (t225 t226))
% 15.65/15.98  (step t228 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length (tptp.cons 0 tptp.nil)) (+ 1 (tptp.length tptp.nil))))) :rule contraction :premises (t227))
% 15.65/15.98  (step t229 (cl (=> (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil)))))) :rule resolution :premises (t220 t222 t228))
% 15.65/15.98  (step t230 (cl (not (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T))))) (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) :rule implies :premises (t229))
% 15.65/15.98  (step t231 (cl (= (tptp.length tptp.nil) (+ (- 1) (tptp.length (tptp.cons 0 tptp.nil))))) :rule resolution :premises (t230 a7))
% 15.65/15.98  (step t232 (cl) :rule resolution :premises (t40 t195 t206 t219 t231 a6))
% 15.65/15.98  
% 15.65/15.98  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.VNcPlaKi4B/cvc5---1.0.5_32733.smt2
% 15.65/15.98  % cvc5---1.0.5 exiting
% 15.65/15.98  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------