%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PLA047_1 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n029.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 17:38:31 EDT 2024

% Result   : Theorem 31.60s 31.81s
% Output   : Proof 31.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : PLA047_1 : TPTP v8.2.0. Released v7.3.0.
% 0.06/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 25 23:12:24 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_ARI
% 31.60/31.81  --- Run --finite-model-find --decision=internal at 15...
% 31.60/31.81  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 31.60/31.81  --- Run --no-e-matching --full-saturate-quant at 15...
% 31.60/31.81  --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 31.60/31.81  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.zXU0DV6RxS/cvc5---1.0.5_25843.smt2
% 31.60/31.81  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.zXU0DV6RxS/cvc5---1.0.5_25843.smt2
% 31.60/31.81  (assume a0 (not (forall ((S Real)) (=> (and (<= 8000.0 (tptp.recexp S 8000 4)) (<= (/ 9 10) S) (<= S 10.0)) (<= S 1.0)))))
% 31.60/31.81  (assume a1 (= (tptp.lk 0) 1))
% 31.60/31.81  (assume a2 (= (tptp.lk 1) 9))
% 31.60/31.81  (assume a3 (= (tptp.lk 2) 40))
% 31.60/31.81  (assume a4 (= (tptp.lk 3) 50))
% 31.60/31.81  (assume a5 (= (tptp.lk 4) 100))
% 31.60/31.81  (assume a6 (= (tptp.lk 5) 400))
% 31.60/31.81  (assume a7 (= (tptp.lk 6) 600))
% 31.60/31.81  (assume a8 (= (tptp.ns 0) 10))
% 31.60/31.81  (assume a9 (= (tptp.ns 1) 50))
% 31.60/31.81  (assume a10 (= (tptp.ns 2) 99))
% 31.60/31.81  (assume a11 (= (tptp.ns 3) 190))
% 31.60/31.81  (assume a12 (= (tptp.ns 4) 550))
% 31.60/31.81  (assume a13 (= (tptp.ns 5) 1100))
% 31.60/31.81  (assume a14 (= (tptp.ns 6) 1600))
% 31.60/31.81  (assume a15 (forall ((D Real) (T Int) (C Int)) (= (* (tptp.dc D T C) (to_real (- T (tptp.ns C)))) (- (to_real T) (* D (to_real (tptp.ns C)))))))
% 31.60/31.81  (assume a16 (forall ((D Real) (T Int)) (= (tptp.imp D T 0) 0.0)))
% 31.60/31.81  (assume a17 (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (to_real T) (tptp.imp D T C)) (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2)))))))
% 31.60/31.81  (assume a18 (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0)))
% 31.60/31.81  (assume a19 (forall ((D Real) (T Int) (C Int) (K Int)) (=> (<= 1 K) (= (tptp.mysump D T C K) (+ (* (tptp.dc D T C) (to_real (tptp.lk K))) (tptp.mysump D T C (- K 1)))))))
% 31.60/31.81  (assume a20 (forall ((D Real) (T Int)) (= (tptp.recexp D T 0) 0.0)))
% 31.60/31.81  (assume a21 (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (tptp.imp D T C) (* (to_real T) (tptp.recexp D T C))) (+ (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1))))) (tptp.mysumr D T C (- C 2)))))))
% 31.60/31.81  (assume a22 (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0)))
% 31.60/31.81  (assume a23 (forall ((D Real) (T Int) (C Int) (K Int)) (=> (<= 1 K) (= (tptp.mysumr D T C K) (+ (* (tptp.dc D T C) (* (tptp.recexp D T K) (to_real (tptp.lk K)))) (tptp.mysumr D C T (- K 1)))))))
% 31.60/31.81  (assume a24 true)
% 31.60/31.81  (step t1 (cl (not (= (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))))) (not (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule equiv_pos2)
% 31.60/31.81  (step t2 (cl (= (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule refl)
% 31.60/31.81  (step t3 (cl (= (= (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))))) :rule equiv_simplify)
% 31.60/31.81  (step t4 (cl (= (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) (not (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))))) :rule equiv2 :premises (t3))
% 31.60/31.81  (step t5 (cl (not (not (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))))) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule not_not)
% 31.60/31.81  (step t6 (cl (= (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule resolution :premises (t4 t5))
% 31.60/31.81  (step t7 (cl (=> (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule implies_neg1)
% 31.60/31.81  (anchor :step t8)
% 31.60/31.81  (assume t8.a0 (= (tptp.mysumr 0.0 2 2 0) 0.0))
% 31.60/31.81  (assume t8.a1 (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))))
% 31.60/31.81  (assume t8.a2 (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))
% 31.60/31.81  (step t8.t1 (cl (=> (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) false) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) :rule implies_neg1)
% 31.60/31.81  (anchor :step t8.t2)
% 31.60/31.81  (assume t8.t2.a0 (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))
% 31.60/31.81  (step t8.t2.t1 (cl (not (= (<= (+ (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0))) (+ (* 1.0 0.0) (* (/ 1 2) (- 2.0)) (* (/ (- 1) 2) 0.0))) false)) (not (<= (+ (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0))) (+ (* 1.0 0.0) (* (/ 1 2) (- 2.0)) (* (/ (- 1) 2) 0.0)))) false) :rule equiv_pos2)
% 31.60/31.81  (step t8.t2.t2 (cl (= (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) :rule all_simplify)
% 31.60/31.81  (step t8.t2.t3 (cl (= (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (+ (* (/ 1 2) (tptp.mysumr 0.0 2 2 0)) (* (- 1) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) :rule all_simplify)
% 31.60/31.81  (step t8.t2.t4 (cl (= (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0)) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0)))) :rule refl)
% 31.60/31.81  (step t8.t2.t5 (cl (= (+ (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0))) (+ (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) (+ (* (/ 1 2) (tptp.mysumr 0.0 2 2 0)) (* (- 1) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0))))) :rule cong :premises (t8.t2.t2 t8.t2.t3 t8.t2.t4))
% 31.60/31.81  (step t8.t2.t6 (cl (= (+ (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) (+ (* (/ 1 2) (tptp.mysumr 0.0 2 2 0)) (* (- 1) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0))) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t8.t2.t7 (cl (= (+ (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0))) 0.0)) :rule trans :premises (t8.t2.t5 t8.t2.t6))
% 31.60/31.81  (step t8.t2.t8 (cl (= (* 1.0 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t8.t2.t9 (cl (= (* (/ 1 2) (- 2.0)) (- 1.0))) :rule all_simplify)
% 31.60/31.81  (step t8.t2.t10 (cl (= (* (/ (- 1) 2) 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t8.t2.t11 (cl (= (+ (* 1.0 0.0) (* (/ 1 2) (- 2.0)) (* (/ (- 1) 2) 0.0)) (+ 0.0 (- 1.0) 0.0))) :rule cong :premises (t8.t2.t8 t8.t2.t9 t8.t2.t10))
% 31.60/31.81  (step t8.t2.t12 (cl (= (+ 0.0 (- 1.0) 0.0) (- 1.0))) :rule all_simplify)
% 31.60/31.81  (step t8.t2.t13 (cl (= (+ (* 1.0 0.0) (* (/ 1 2) (- 2.0)) (* (/ (- 1) 2) 0.0)) (- 1.0))) :rule trans :premises (t8.t2.t11 t8.t2.t12))
% 31.60/31.81  (step t8.t2.t14 (cl (= (<= (+ (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0))) (+ (* 1.0 0.0) (* (/ 1 2) (- 2.0)) (* (/ (- 1) 2) 0.0))) (<= 0.0 (- 1.0)))) :rule cong :premises (t8.t2.t7 t8.t2.t13))
% 31.60/31.81  (step t8.t2.t15 (cl (= (<= 0.0 (- 1.0)) false)) :rule all_simplify)
% 31.60/31.81  (step t8.t2.t16 (cl (= (<= (+ (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0))) (+ (* 1.0 0.0) (* (/ 1 2) (- 2.0)) (* (/ (- 1) 2) 0.0))) false)) :rule trans :premises (t8.t2.t14 t8.t2.t15))
% 31.60/31.81  (step t8.t2.t17 (cl (not (= (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* 1.0 0.0))) (not (= (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ 1 2) (- 2.0)))) (not (= (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0)) (* (/ (- 1) 2) 0.0))) (<= (+ (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0))) (+ (* 1.0 0.0) (* (/ 1 2) (- 2.0)) (* (/ (- 1) 2) 0.0)))) :rule la_generic :args ((- 1) (- 1) (- 1) 1))
% 31.60/31.81  (step t8.t2.t18 (cl (=> (and (> 1.0 0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (= (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* 1.0 0.0)))) :rule la_mult_pos)
% 31.60/31.81  (step t8.t2.t19 (cl (not (and (> 1.0 0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (= (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* 1.0 0.0))) :rule implies :premises (t8.t2.t18))
% 31.60/31.81  (step t8.t2.t20 (cl (and (> 1.0 0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (not (> 1.0 0)) (not (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule and_neg)
% 31.60/31.81  (step t8.t2.t21 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 31.60/31.81  (step t8.t2.t22 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t8.t2.t21))
% 31.60/31.81  (step t8.t2.t23 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 31.60/31.81  (step t8.t2.t24 (cl (> 1.0 0)) :rule resolution :premises (t8.t2.t22 t8.t2.t23))
% 31.60/31.81  (step t8.t2.t25 (cl (and (> 1.0 0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule resolution :premises (t8.t2.t20 t8.t2.t24 t8.t2.a0))
% 31.60/31.81  (step t8.t2.t26 (cl (= (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* 1.0 0.0))) :rule resolution :premises (t8.t2.t19 t8.t2.t25))
% 31.60/31.81  (step t8.t2.t27 (cl (=> (and (> (/ 1 2) 0) (= (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (- 2.0))) (= (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ 1 2) (- 2.0))))) :rule la_mult_pos)
% 31.60/31.81  (step t8.t2.t28 (cl (not (and (> (/ 1 2) 0) (= (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (- 2.0)))) (= (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ 1 2) (- 2.0)))) :rule implies :premises (t8.t2.t27))
% 31.60/31.81  (step t8.t2.t29 (cl (and (> (/ 1 2) 0) (= (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (- 2.0))) (not (> (/ 1 2) 0)) (not (= (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (- 2.0)))) :rule and_neg)
% 31.60/31.81  (step t8.t2.t30 (cl (= (= (> (/ 1 2) 0) true) (> (/ 1 2) 0))) :rule equiv_simplify)
% 31.60/31.81  (step t8.t2.t31 (cl (not (= (> (/ 1 2) 0) true)) (> (/ 1 2) 0)) :rule equiv1 :premises (t8.t2.t30))
% 31.60/31.81  (step t8.t2.t32 (cl (= (> (/ 1 2) 0) true)) :rule hole :args ((> (/ 1 2) 0)))
% 31.60/31.81  (step t8.t2.t33 (cl (> (/ 1 2) 0)) :rule resolution :premises (t8.t2.t31 t8.t2.t32))
% 31.60/31.81  (step t8.t2.t34 (cl (not (= (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (- 2.0)))) (not (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) (= (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (- 2.0))) :rule equiv_pos2)
% 31.60/31.81  (step t8.t2.t35 (cl (= (= (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (- 2.0)) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))))) :rule all_simplify)
% 31.60/31.81  (step t8.t2.t36 (cl (= (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (- 2.0)))) :rule symm :premises (t8.t2.t35))
% 31.60/31.81  (step t8.t2.t37 (cl (= (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (- 2.0))) :rule resolution :premises (t8.t2.t34 t8.t2.t36 t8.a1))
% 31.60/31.81  (step t8.t2.t38 (cl (and (> (/ 1 2) 0) (= (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (- 2.0)))) :rule resolution :premises (t8.t2.t29 t8.t2.t33 t8.t2.t37))
% 31.60/31.81  (step t8.t2.t39 (cl (= (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ 1 2) (- 2.0)))) :rule resolution :premises (t8.t2.t28 t8.t2.t38))
% 31.60/31.81  (step t8.t2.t40 (cl (=> (and (< (/ (- 1) 2) 0) (= (tptp.mysumr 0.0 2 2 0) 0.0)) (= (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0)) (* (/ (- 1) 2) 0.0)))) :rule la_mult_neg)
% 31.60/31.81  (step t8.t2.t41 (cl (not (and (< (/ (- 1) 2) 0) (= (tptp.mysumr 0.0 2 2 0) 0.0))) (= (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0)) (* (/ (- 1) 2) 0.0))) :rule implies :premises (t8.t2.t40))
% 31.60/31.81  (step t8.t2.t42 (cl (and (< (/ (- 1) 2) 0) (= (tptp.mysumr 0.0 2 2 0) 0.0)) (not (< (/ (- 1) 2) 0)) (not (= (tptp.mysumr 0.0 2 2 0) 0.0))) :rule and_neg)
% 31.60/31.81  (step t8.t2.t43 (cl (= (= (< (/ (- 1) 2) 0) true) (< (/ (- 1) 2) 0))) :rule equiv_simplify)
% 31.60/31.81  (step t8.t2.t44 (cl (not (= (< (/ (- 1) 2) 0) true)) (< (/ (- 1) 2) 0)) :rule equiv1 :premises (t8.t2.t43))
% 31.60/31.81  (step t8.t2.t45 (cl (= (< (/ (- 1) 2) 0) true)) :rule hole :args ((< (/ (- 1) 2) 0)))
% 31.60/31.81  (step t8.t2.t46 (cl (< (/ (- 1) 2) 0)) :rule resolution :premises (t8.t2.t44 t8.t2.t45))
% 31.60/31.81  (step t8.t2.t47 (cl (and (< (/ (- 1) 2) 0) (= (tptp.mysumr 0.0 2 2 0) 0.0))) :rule resolution :premises (t8.t2.t42 t8.t2.t46 t8.a0))
% 31.60/31.81  (step t8.t2.t48 (cl (= (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0)) (* (/ (- 1) 2) 0.0))) :rule resolution :premises (t8.t2.t41 t8.t2.t47))
% 31.60/31.81  (step t8.t2.t49 (cl (<= (+ (* 1.0 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))) (* (/ 1 2) (+ (tptp.mysumr 0.0 2 2 0) (* (- 2) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (* (/ (- 1) 2) (tptp.mysumr 0.0 2 2 0))) (+ (* 1.0 0.0) (* (/ 1 2) (- 2.0)) (* (/ (- 1) 2) 0.0)))) :rule resolution :premises (t8.t2.t17 t8.t2.t26 t8.t2.t39 t8.t2.t48))
% 31.60/31.81  (step t8.t2.t50 (cl false) :rule resolution :premises (t8.t2.t1 t8.t2.t16 t8.t2.t49))
% 31.60/31.81  (step t8.t2 (cl (not (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) :rule subproof :discharge (t8.t2.a0))
% 31.60/31.81  (step t8.t3 (cl (=> (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) false) false) :rule resolution :premises (t8.t1 t8.t2))
% 31.60/31.81  (step t8.t4 (cl (=> (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) false) (not false)) :rule implies_neg2)
% 31.60/31.81  (step t8.t5 (cl (=> (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) false) (=> (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) false)) :rule resolution :premises (t8.t3 t8.t4))
% 31.60/31.81  (step t8.t6 (cl (=> (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) false)) :rule contraction :premises (t8.t5))
% 31.60/31.81  (step t8.t7 (cl (= (=> (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) false) (not (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule implies_simplify)
% 31.60/31.81  (step t8.t8 (cl (not (=> (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) false)) (not (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule equiv1 :premises (t8.t7))
% 31.60/31.81  (step t8.t9 (cl (not (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule resolution :premises (t8.t6 t8.t8))
% 31.60/31.81  (step t8.t10 (cl) :rule resolution :premises (t8.a2 t8.t9))
% 31.60/31.81  (step t8 (cl (not (= (tptp.mysumr 0.0 2 2 0) 0.0)) (not (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) (not (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) :rule subproof :discharge (t8.a0 t8.a1 t8.a2))
% 31.60/31.81  (step t9 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (= (tptp.mysumr 0.0 2 2 0) 0.0)) :rule and_pos)
% 31.60/31.81  (step t10 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) :rule and_pos)
% 31.60/31.81  (step t11 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) :rule and_pos)
% 31.60/31.81  (step t12 (cl false (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule resolution :premises (t8 t9 t10 t11))
% 31.60/31.81  (step t13 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) false) :rule reordering :premises (t12))
% 31.60/31.81  (step t14 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) false) :rule contraction :premises (t13))
% 31.60/31.81  (step t15 (cl (=> (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) false) :rule resolution :premises (t7 t14))
% 31.60/31.81  (step t16 (cl (=> (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) (not false)) :rule implies_neg2)
% 31.60/31.81  (step t17 (cl (=> (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) (=> (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false)) :rule resolution :premises (t15 t16))
% 31.60/31.81  (step t18 (cl (=> (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false)) :rule contraction :premises (t17))
% 31.60/31.81  (step t19 (cl (= (=> (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))))) :rule implies_simplify)
% 31.60/31.81  (step t20 (cl (not (=> (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false)) (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule equiv1 :premises (t19))
% 31.60/31.81  (step t21 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule resolution :premises (t18 t20))
% 31.60/31.81  (step t22 (cl (= (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false)) :rule resolution :premises (t6 t21))
% 31.60/31.81  (step t23 (cl (= (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false))) :rule cong :premises (t2 t22))
% 31.60/31.81  (step t24 (cl (= (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) false) (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))))) :rule all_simplify)
% 31.60/31.81  (step t25 (cl (= (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))))) :rule trans :premises (t23 t24))
% 31.60/31.81  (step t26 (cl (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule implies_neg1)
% 31.60/31.81  (anchor :step t27)
% 31.60/31.81  (assume t27.a0 (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))))
% 31.60/31.81  (assume t27.a1 (= (tptp.mysumr 0.0 2 2 0) 0.0))
% 31.60/31.81  (assume t27.a2 (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))
% 31.60/31.81  (step t27.t1 (cl (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (not (= (tptp.mysumr 0.0 2 2 0) 0.0)) (not (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) (not (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule and_neg)
% 31.60/31.81  (step t27.t2 (cl (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule resolution :premises (t27.t1 t27.a1 t27.a0 t27.a2))
% 31.60/31.81  (step t27 (cl (not (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) (not (= (tptp.mysumr 0.0 2 2 0) 0.0)) (not (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule subproof :discharge (t27.a0 t27.a1 t27.a2))
% 31.60/31.81  (step t28 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) :rule and_pos)
% 31.60/31.81  (step t29 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (= (tptp.mysumr 0.0 2 2 0) 0.0)) :rule and_pos)
% 31.60/31.81  (step t30 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) :rule and_pos)
% 31.60/31.81  (step t31 (cl (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule resolution :premises (t27 t28 t29 t30))
% 31.60/31.81  (step t32 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule reordering :premises (t31))
% 31.60/31.81  (step t33 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule contraction :premises (t32))
% 31.60/31.81  (step t34 (cl (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule resolution :premises (t26 t33))
% 31.60/31.81  (step t35 (cl (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (not (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule implies_neg2)
% 31.60/31.81  (step t36 (cl (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule resolution :premises (t34 t35))
% 31.60/31.81  (step t37 (cl (=> (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (and (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule contraction :premises (t36))
% 31.60/31.81  (step t38 (cl (not (and (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) (= (tptp.mysumr 0.0 2 2 0) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)))) :rule resolution :premises (t1 t25 t37))
% 31.60/31.81  (step t39 (cl (not (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) (not (= (tptp.mysumr 0.0 2 2 0) 0.0)) (not (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule not_and :premises (t38))
% 31.60/31.81  (step t40 (cl (=> (= (tptp.imp 0.0 2 2) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (= (tptp.imp 0.0 2 2) 0.0)) :rule implies_neg1)
% 31.60/31.81  (anchor :step t41)
% 31.60/31.81  (assume t41.a0 (= (tptp.imp 0.0 2 2) 0.0))
% 31.60/31.81  (step t41.t1 (cl (= (= (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) true) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule equiv_simplify)
% 31.60/31.81  (step t41.t2 (cl (not (= (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) true)) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) :rule equiv1 :premises (t41.t1))
% 31.60/31.81  (step t41.t3 (cl (= (tptp.recexp 0.0 2 2) (tptp.recexp 0.0 2 2))) :rule refl)
% 31.60/31.81  (step t41.t4 (cl (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) (* 0.0 (tptp.recexp 0.0 2 2)))) :rule cong :premises (t41.a0 t41.t3))
% 31.60/31.81  (step t41.t5 (cl (= 0.0 0.0)) :rule refl)
% 31.60/31.81  (step t41.t6 (cl (= (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) (= (* 0.0 (tptp.recexp 0.0 2 2)) 0.0))) :rule cong :premises (t41.t4 t41.t5))
% 31.60/31.81  (step t41.t7 (cl (= (* 0.0 (tptp.recexp 0.0 2 2)) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t41.t8 (cl (= 0.0 0.0)) :rule refl)
% 31.60/31.81  (step t41.t9 (cl (= (= (* 0.0 (tptp.recexp 0.0 2 2)) 0.0) (= 0.0 0.0))) :rule cong :premises (t41.t7 t41.t8))
% 31.60/31.81  (step t41.t10 (cl (= (= 0.0 0.0) true)) :rule all_simplify)
% 31.60/31.81  (step t41.t11 (cl (= (= (* 0.0 (tptp.recexp 0.0 2 2)) 0.0) true)) :rule trans :premises (t41.t9 t41.t10))
% 31.60/31.81  (step t41.t12 (cl (= (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) true)) :rule trans :premises (t41.t6 t41.t11))
% 31.60/31.81  (step t41.t13 (cl (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) :rule resolution :premises (t41.t2 t41.t12))
% 31.60/31.81  (step t41 (cl (not (= (tptp.imp 0.0 2 2) 0.0)) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) :rule subproof :discharge (t41.a0))
% 31.60/31.81  (step t42 (cl (=> (= (tptp.imp 0.0 2 2) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) :rule resolution :premises (t40 t41))
% 31.60/31.81  (step t43 (cl (=> (= (tptp.imp 0.0 2 2) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (not (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule implies_neg2)
% 31.60/31.81  (step t44 (cl (=> (= (tptp.imp 0.0 2 2) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) (=> (= (tptp.imp 0.0 2 2) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule resolution :premises (t42 t43))
% 31.60/31.81  (step t45 (cl (=> (= (tptp.imp 0.0 2 2) 0.0) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0))) :rule contraction :premises (t44))
% 31.60/31.81  (step t46 (cl (not (= (tptp.imp 0.0 2 2) 0.0)) (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) :rule implies :premises (t45))
% 31.60/31.81  (step t47 (cl (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0))) :rule reordering :premises (t46))
% 31.60/31.81  (step t48 (cl (not (= (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (= (tptp.imp 0.0 2 2) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) (not (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (= (tptp.imp 0.0 2 2) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule equiv_pos2)
% 31.60/31.81  (step t49 (cl (= (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule refl)
% 31.60/31.81  (step t50 (cl (= (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (= (tptp.mysump 0.0 2 2 0) 0.0)))) :rule refl)
% 31.60/31.81  (step t51 (cl (= (= (= (not (not (= (tptp.imp 0.0 2 2) 0.0))) (= (tptp.imp 0.0 2 2) 0.0)) true) (= (not (not (= (tptp.imp 0.0 2 2) 0.0))) (= (tptp.imp 0.0 2 2) 0.0)))) :rule equiv_simplify)
% 31.60/31.81  (step t52 (cl (not (= (= (not (not (= (tptp.imp 0.0 2 2) 0.0))) (= (tptp.imp 0.0 2 2) 0.0)) true)) (= (not (not (= (tptp.imp 0.0 2 2) 0.0))) (= (tptp.imp 0.0 2 2) 0.0))) :rule equiv1 :premises (t51))
% 31.60/31.81  (step t53 (cl (= (= (not (not (= (tptp.imp 0.0 2 2) 0.0))) (= (tptp.imp 0.0 2 2) 0.0)) (= (= (tptp.imp 0.0 2 2) 0.0) (not (not (= (tptp.imp 0.0 2 2) 0.0)))))) :rule all_simplify)
% 31.60/31.81  (step t54 (cl (= (= (tptp.imp 0.0 2 2) 0.0) (= (tptp.imp 0.0 2 2) 0.0))) :rule refl)
% 31.60/31.81  (step t55 (cl (= (not (not (= (tptp.imp 0.0 2 2) 0.0))) (= (tptp.imp 0.0 2 2) 0.0))) :rule all_simplify)
% 31.60/31.81  (step t56 (cl (= (= (= (tptp.imp 0.0 2 2) 0.0) (not (not (= (tptp.imp 0.0 2 2) 0.0)))) (= (= (tptp.imp 0.0 2 2) 0.0) (= (tptp.imp 0.0 2 2) 0.0)))) :rule cong :premises (t54 t55))
% 31.60/31.81  (step t57 (cl (= (= (= (tptp.imp 0.0 2 2) 0.0) (= (tptp.imp 0.0 2 2) 0.0)) true)) :rule all_simplify)
% 31.60/31.81  (step t58 (cl (= (= (= (tptp.imp 0.0 2 2) 0.0) (not (not (= (tptp.imp 0.0 2 2) 0.0)))) true)) :rule trans :premises (t56 t57))
% 31.60/31.81  (step t59 (cl (= (= (not (not (= (tptp.imp 0.0 2 2) 0.0))) (= (tptp.imp 0.0 2 2) 0.0)) true)) :rule trans :premises (t53 t58))
% 31.60/31.81  (step t60 (cl (= (not (not (= (tptp.imp 0.0 2 2) 0.0))) (= (tptp.imp 0.0 2 2) 0.0))) :rule resolution :premises (t52 t59))
% 31.60/31.81  (step t61 (cl (= (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule refl)
% 31.60/31.81  (step t62 (cl (= (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (= (tptp.imp 0.0 2 2) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) :rule cong :premises (t49 t50 t60 t61))
% 31.60/31.81  (step t63 (cl (not (= (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) (not (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule equiv_pos2)
% 31.60/31.81  (step t64 (cl (= (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule refl)
% 31.60/31.81  (step t65 (cl (= (= (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))))) :rule equiv_simplify)
% 31.60/31.81  (step t66 (cl (= (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (not (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))))) :rule equiv2 :premises (t65))
% 31.60/31.81  (step t67 (cl (not (not (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))))) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule not_not)
% 31.60/31.81  (step t68 (cl (= (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule resolution :premises (t66 t67))
% 31.60/31.81  (step t69 (cl (=> (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule implies_neg1)
% 31.60/31.81  (anchor :step t70)
% 31.60/31.81  (assume t70.a0 (not (= (tptp.imp 0.0 2 2) 0.0)))
% 31.60/31.81  (assume t70.a1 (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))
% 31.60/31.81  (assume t70.a2 (= (tptp.mysump 0.0 2 2 0) 0.0))
% 31.60/31.81  (assume t70.a3 (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))
% 31.60/31.81  (step t70.t1 (cl (not (= (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) :rule equiv_pos2)
% 31.60/31.81  (step t70.t2 (cl (= (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule all_simplify)
% 31.60/31.81  (step t70.t3 (cl (= (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) :rule symm :premises (t70.t2))
% 31.60/31.81  (step t70.t4 (cl (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) :rule resolution :premises (t70.t1 t70.t3 t70.a3))
% 31.60/31.81  (step t70.t5 (cl (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) :rule implies_neg1)
% 31.60/31.81  (anchor :step t70.t6)
% 31.60/31.81  (assume t70.t6.a0 (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))
% 31.60/31.81  (step t70.t6.t1 (cl (not (= (< (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0))) false)) (not (< (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0)))) false) :rule equiv_pos2)
% 31.60/31.81  (step t70.t6.t2 (cl (= (< (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0))) (not (>= (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0)))))) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t3 (cl (= (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (+ (* (- 1) (tptp.imp 0.0 2 2)) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t4 (cl (= (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) :rule refl)
% 31.60/31.81  (step t70.t6.t5 (cl (= (* 1.0 (tptp.imp 0.0 2 2)) (tptp.imp 0.0 2 2))) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t6 (cl (= (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (+ (* (- 1) (tptp.imp 0.0 2 2)) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (tptp.imp 0.0 2 2)))) :rule cong :premises (t70.t6.t3 t70.t6.t4 t70.t6.t5))
% 31.60/31.81  (step t70.t6.t7 (cl (= (+ (+ (* (- 1) (tptp.imp 0.0 2 2)) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (tptp.imp 0.0 2 2)) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t8 (cl (= (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) 0.0)) :rule trans :premises (t70.t6.t6 t70.t6.t7))
% 31.60/31.81  (step t70.t6.t9 (cl (= (* (- 1.0) 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t10 (cl (= (* (/ (- 1) 2) 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t11 (cl (= (* 1.0 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t12 (cl (= (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0)) (+ 0.0 0.0 0.0))) :rule cong :premises (t70.t6.t9 t70.t6.t10 t70.t6.t11))
% 31.60/31.81  (step t70.t6.t13 (cl (= (+ 0.0 0.0 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t14 (cl (= (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0)) 0.0)) :rule trans :premises (t70.t6.t12 t70.t6.t13))
% 31.60/31.81  (step t70.t6.t15 (cl (= (>= (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0))) (>= 0.0 0.0))) :rule cong :premises (t70.t6.t8 t70.t6.t14))
% 31.60/31.81  (step t70.t6.t16 (cl (= (>= 0.0 0.0) true)) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t17 (cl (= (>= (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0))) true)) :rule trans :premises (t70.t6.t15 t70.t6.t16))
% 31.60/31.81  (step t70.t6.t18 (cl (= (not (>= (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0)))) (not true))) :rule cong :premises (t70.t6.t17))
% 31.60/31.81  (step t70.t6.t19 (cl (= (not true) false)) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t20 (cl (= (not (>= (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0)))) false)) :rule trans :premises (t70.t6.t18 t70.t6.t19))
% 31.60/31.81  (step t70.t6.t21 (cl (= (< (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0))) false)) :rule trans :premises (t70.t6.t2 t70.t6.t20))
% 31.60/31.81  (step t70.t6.t22 (cl (not (= (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (- 1.0) 0.0))) (not (= (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* (/ (- 1) 2) 0.0))) (not (< (* 1.0 (tptp.imp 0.0 2 2)) (* 1.0 0.0))) (< (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0)))) :rule la_generic :args ((- 1) (- 1) 1 1))
% 31.60/31.81  (step t70.t6.t23 (cl (=> (and (< (- 1.0) 0) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) (= (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (- 1.0) 0.0)))) :rule la_mult_neg)
% 31.60/31.81  (step t70.t6.t24 (cl (not (and (< (- 1.0) 0) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) (= (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (- 1.0) 0.0))) :rule implies :premises (t70.t6.t23))
% 31.60/31.81  (step t70.t6.t25 (cl (and (< (- 1.0) 0) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) (not (< (- 1.0) 0)) (not (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) :rule and_neg)
% 31.60/31.81  (step t70.t6.t26 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 31.60/31.81  (step t70.t6.t27 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t70.t6.t26))
% 31.60/31.81  (step t70.t6.t28 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 31.60/31.81  (step t70.t6.t29 (cl (< (- 1.0) 0)) :rule resolution :premises (t70.t6.t27 t70.t6.t28))
% 31.60/31.81  (step t70.t6.t30 (cl (and (< (- 1.0) 0) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) :rule resolution :premises (t70.t6.t25 t70.t6.t29 t70.t6.a0))
% 31.60/31.81  (step t70.t6.t31 (cl (= (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (- 1.0) 0.0))) :rule resolution :premises (t70.t6.t24 t70.t6.t30))
% 31.60/31.81  (step t70.t6.t32 (cl (=> (and (< (/ (- 1) 2) 0) (= (tptp.mysump 0.0 2 2 0) 0.0)) (= (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* (/ (- 1) 2) 0.0)))) :rule la_mult_neg)
% 31.60/31.81  (step t70.t6.t33 (cl (not (and (< (/ (- 1) 2) 0) (= (tptp.mysump 0.0 2 2 0) 0.0))) (= (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* (/ (- 1) 2) 0.0))) :rule implies :premises (t70.t6.t32))
% 31.60/31.81  (step t70.t6.t34 (cl (and (< (/ (- 1) 2) 0) (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (< (/ (- 1) 2) 0)) (not (= (tptp.mysump 0.0 2 2 0) 0.0))) :rule and_neg)
% 31.60/31.81  (step t70.t6.t35 (cl (= (= (< (/ (- 1) 2) 0) true) (< (/ (- 1) 2) 0))) :rule equiv_simplify)
% 31.60/31.81  (step t70.t6.t36 (cl (not (= (< (/ (- 1) 2) 0) true)) (< (/ (- 1) 2) 0)) :rule equiv1 :premises (t70.t6.t35))
% 31.60/31.81  (step t70.t6.t37 (cl (= (< (/ (- 1) 2) 0) true)) :rule hole :args ((< (/ (- 1) 2) 0)))
% 31.60/31.81  (step t70.t6.t38 (cl (< (/ (- 1) 2) 0)) :rule resolution :premises (t70.t6.t36 t70.t6.t37))
% 31.60/31.81  (step t70.t6.t39 (cl (and (< (/ (- 1) 2) 0) (= (tptp.mysump 0.0 2 2 0) 0.0))) :rule resolution :premises (t70.t6.t34 t70.t6.t38 t70.a2))
% 31.60/31.81  (step t70.t6.t40 (cl (= (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* (/ (- 1) 2) 0.0))) :rule resolution :premises (t70.t6.t33 t70.t6.t39))
% 31.60/31.81  (step t70.t6.t41 (cl (=> (and (> 1.0 0) (< (tptp.imp 0.0 2 2) 0.0)) (< (* 1.0 (tptp.imp 0.0 2 2)) (* 1.0 0.0)))) :rule la_mult_pos)
% 31.60/31.81  (step t70.t6.t42 (cl (not (and (> 1.0 0) (< (tptp.imp 0.0 2 2) 0.0))) (< (* 1.0 (tptp.imp 0.0 2 2)) (* 1.0 0.0))) :rule implies :premises (t70.t6.t41))
% 31.60/31.81  (step t70.t6.t43 (cl (and (> 1.0 0) (< (tptp.imp 0.0 2 2) 0.0)) (not (> 1.0 0)) (not (< (tptp.imp 0.0 2 2) 0.0))) :rule and_neg)
% 31.60/31.81  (step t70.t6.t44 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 31.60/31.81  (step t70.t6.t45 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t70.t6.t44))
% 31.60/31.81  (step t70.t6.t46 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 31.60/31.81  (step t70.t6.t47 (cl (> 1.0 0)) :rule resolution :premises (t70.t6.t45 t70.t6.t46))
% 31.60/31.81  (step t70.t6.t48 (cl (or (= (tptp.imp 0.0 2 2) 0.0) (not (<= (tptp.imp 0.0 2 2) 0.0)) (not (<= 0.0 (tptp.imp 0.0 2 2))))) :rule la_disequality)
% 31.60/31.81  (step t70.t6.t49 (cl (= (tptp.imp 0.0 2 2) 0.0) (not (<= (tptp.imp 0.0 2 2) 0.0)) (not (<= 0.0 (tptp.imp 0.0 2 2)))) :rule or :premises (t70.t6.t48))
% 31.60/31.81  (step t70.t6.t50 (cl (not (= (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (<= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (<= (tptp.imp 0.0 2 2) 0.0)) :rule equiv_pos2)
% 31.60/31.81  (step t70.t6.t51 (cl (= (<= (tptp.imp 0.0 2 2) 0.0) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule all_simplify)
% 31.60/31.81  (step t70.t6.t52 (cl (= (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (<= (tptp.imp 0.0 2 2) 0.0))) :rule symm :premises (t70.t6.t51))
% 31.60/31.81  (step t70.t6.t53 (cl (<= (tptp.imp 0.0 2 2) 0.0)) :rule resolution :premises (t70.t6.t50 t70.t6.t52 t70.a1))
% 31.60/31.81  (step t70.t6.t54 (cl (not (<= 0.0 (tptp.imp 0.0 2 2)))) :rule resolution :premises (t70.t6.t49 t70.a0 t70.t6.t53))
% 31.60/31.81  (step t70.t6.t55 (cl (not (= (< (tptp.imp 0.0 2 2) 0.0) (not (<= 0.0 (tptp.imp 0.0 2 2))))) (< (tptp.imp 0.0 2 2) 0.0) (not (not (<= 0.0 (tptp.imp 0.0 2 2))))) :rule equiv_pos1)
% 31.60/31.81  (step t70.t6.t56 (cl (= (< (tptp.imp 0.0 2 2) 0.0) (not (<= 0.0 (tptp.imp 0.0 2 2))))) :rule comp_simplify)
% 31.60/31.81  (step t70.t6.t57 (cl (< (tptp.imp 0.0 2 2) 0.0)) :rule resolution :premises (t70.t6.t54 t70.t6.t55 t70.t6.t56))
% 31.60/31.81  (step t70.t6.t58 (cl (and (> 1.0 0) (< (tptp.imp 0.0 2 2) 0.0))) :rule resolution :premises (t70.t6.t43 t70.t6.t47 t70.t6.t57))
% 31.60/31.81  (step t70.t6.t59 (cl (< (* 1.0 (tptp.imp 0.0 2 2)) (* 1.0 0.0))) :rule resolution :premises (t70.t6.t42 t70.t6.t58))
% 31.60/31.81  (step t70.t6.t60 (cl (< (+ (* (- 1.0) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)) (* 1.0 (tptp.imp 0.0 2 2))) (+ (* (- 1.0) 0.0) (* (/ (- 1) 2) 0.0) (* 1.0 0.0)))) :rule resolution :premises (t70.t6.t22 t70.t6.t31 t70.t6.t40 t70.t6.t59))
% 31.60/31.81  (step t70.t6.t61 (cl false) :rule resolution :premises (t70.t6.t1 t70.t6.t21 t70.t6.t60))
% 31.60/31.81  (step t70.t6 (cl (not (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) false) :rule subproof :discharge (t70.t6.a0))
% 31.60/31.81  (step t70.t7 (cl (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false) false) :rule resolution :premises (t70.t5 t70.t6))
% 31.60/31.81  (step t70.t8 (cl (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false) (not false)) :rule implies_neg2)
% 31.60/31.81  (step t70.t9 (cl (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false) (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false)) :rule resolution :premises (t70.t7 t70.t8))
% 31.60/31.81  (step t70.t10 (cl (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false)) :rule contraction :premises (t70.t9))
% 31.60/31.81  (step t70.t11 (cl (= (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false) (not (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)))) :rule implies_simplify)
% 31.60/31.81  (step t70.t12 (cl (not (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false)) (not (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) :rule equiv1 :premises (t70.t11))
% 31.60/31.81  (step t70.t13 (cl (not (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) :rule resolution :premises (t70.t10 t70.t12))
% 31.60/31.81  (step t70.t14 (cl) :rule resolution :premises (t70.t4 t70.t13))
% 31.60/31.81  (step t70 (cl (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) :rule subproof :discharge (t70.a0 t70.a1 t70.a2 t70.a3))
% 31.60/31.81  (step t71 (cl (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (= (tptp.imp 0.0 2 2) 0.0))) :rule and_pos)
% 31.60/31.81  (step t72 (cl (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) :rule and_pos)
% 31.60/31.81  (step t73 (cl (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (= (tptp.mysump 0.0 2 2 0) 0.0)) :rule and_pos)
% 31.60/31.81  (step t74 (cl (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) :rule and_pos)
% 31.60/31.81  (step t75 (cl false (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule resolution :premises (t70 t71 t72 t73 t74))
% 31.60/31.81  (step t76 (cl (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) false) :rule reordering :premises (t75))
% 31.60/31.81  (step t77 (cl (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) false) :rule contraction :premises (t76))
% 31.60/31.81  (step t78 (cl (=> (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) false) :rule resolution :premises (t69 t77))
% 31.60/31.81  (step t79 (cl (=> (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (not false)) :rule implies_neg2)
% 31.60/31.81  (step t80 (cl (=> (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (=> (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false)) :rule resolution :premises (t78 t79))
% 31.60/31.81  (step t81 (cl (=> (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false)) :rule contraction :premises (t80))
% 31.60/31.81  (step t82 (cl (= (=> (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))))) :rule implies_simplify)
% 31.60/31.81  (step t83 (cl (not (=> (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false)) (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule equiv1 :premises (t82))
% 31.60/31.81  (step t84 (cl (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule resolution :premises (t81 t83))
% 31.60/31.81  (step t85 (cl (= (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false)) :rule resolution :premises (t68 t84))
% 31.60/31.81  (step t86 (cl (= (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) false))) :rule cong :premises (t64 t85))
% 31.60/31.81  (step t87 (cl (= (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) false) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) :rule all_simplify)
% 31.60/31.81  (step t88 (cl (= (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) :rule trans :premises (t86 t87))
% 31.60/31.81  (step t89 (cl (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule implies_neg1)
% 31.60/31.81  (anchor :step t90)
% 31.60/31.81  (assume t90.a0 (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))
% 31.60/31.81  (assume t90.a1 (= (tptp.mysump 0.0 2 2 0) 0.0))
% 31.60/31.81  (assume t90.a2 (not (= (tptp.imp 0.0 2 2) 0.0)))
% 31.60/31.81  (assume t90.a3 (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))
% 31.60/31.81  (step t90.t1 (cl (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule and_neg)
% 31.60/31.81  (step t90.t2 (cl (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule resolution :premises (t90.t1 t90.a2 t90.a3 t90.a1 t90.a0))
% 31.60/31.81  (step t90 (cl (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule subproof :discharge (t90.a0 t90.a1 t90.a2 t90.a3))
% 31.60/31.81  (step t91 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) :rule and_pos)
% 31.60/31.81  (step t92 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (= (tptp.mysump 0.0 2 2 0) 0.0)) :rule and_pos)
% 31.60/31.81  (step t93 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (= (tptp.imp 0.0 2 2) 0.0))) :rule and_pos)
% 31.60/31.81  (step t94 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) :rule and_pos)
% 31.60/31.81  (step t95 (cl (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule resolution :premises (t90 t91 t92 t93 t94))
% 31.60/31.81  (step t96 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule reordering :premises (t95))
% 31.60/31.81  (step t97 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule contraction :premises (t96))
% 31.60/31.81  (step t98 (cl (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule resolution :premises (t89 t97))
% 31.60/31.81  (step t99 (cl (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule implies_neg2)
% 31.60/31.81  (step t100 (cl (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule resolution :premises (t98 t99))
% 31.60/31.81  (step t101 (cl (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (and (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule contraction :premises (t100))
% 31.60/31.81  (step t102 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (= (tptp.imp 0.0 2 2) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule resolution :premises (t63 t88 t101))
% 31.60/31.81  (step t103 (cl (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule not_and :premises (t102))
% 31.60/31.81  (step t104 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule or_neg)
% 31.60/31.81  (step t105 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (not (= (tptp.mysump 0.0 2 2 0) 0.0)))) :rule or_neg)
% 31.60/31.81  (step t106 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (not (not (= (tptp.imp 0.0 2 2) 0.0))))) :rule or_neg)
% 31.60/31.81  (step t107 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule or_neg)
% 31.60/31.81  (step t108 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule resolution :premises (t103 t104 t105 t106 t107))
% 31.60/31.81  (step t109 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (= (tptp.imp 0.0 2 2) 0.0))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule contraction :premises (t108))
% 31.60/31.81  (step t110 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (= (tptp.imp 0.0 2 2) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule resolution :premises (t48 t62 t109))
% 31.60/31.81  (step t111 (cl (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (= (tptp.imp 0.0 2 2) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule or :premises (t110))
% 31.60/31.81  (step t112 (cl (= (tptp.imp 0.0 2 2) 0.0) (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule reordering :premises (t111))
% 31.60/31.81  (step t113 (cl (not (= (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))))) (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) (not (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2)))))) (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule equiv_pos2)
% 31.60/31.81  (step t114 (cl (= (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))))) :rule refl)
% 31.60/31.81  (step t115 (cl (= (>= 2 1) true)) :rule all_simplify)
% 31.60/31.81  (step t116 (cl (= (not (>= 2 1)) (not true))) :rule cong :premises (t115))
% 31.60/31.81  (step t117 (cl (= (not true) false)) :rule all_simplify)
% 31.60/31.81  (step t118 (cl (= (not (>= 2 1)) false)) :rule trans :premises (t116 t117))
% 31.60/31.81  (step t119 (cl (= 0.0 0.0)) :rule refl)
% 31.60/31.81  (step t120 (cl (= 2 2)) :rule refl)
% 31.60/31.81  (step t121 (cl (= (+ (- 2) 2) 0)) :rule all_simplify)
% 31.60/31.81  (step t122 (cl (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (tptp.mysump 0.0 2 2 0))) :rule cong :premises (t119 t120 t120 t121))
% 31.60/31.81  (step t123 (cl (= (- 1) (- 1))) :rule refl)
% 31.60/31.81  (step t124 (cl (= (* 0.0 (tptp.lk (+ (- 1) 2))) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t125 (cl (= (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (- 1) 0.0))) :rule cong :premises (t123 t124))
% 31.60/31.81  (step t126 (cl (= (* (- 1) 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t127 (cl (= (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) 0.0)) :rule trans :premises (t125 t126))
% 31.60/31.81  (step t128 (cl (= (* (tptp.imp 0.0 2 2) 2) (* 2 (tptp.imp 0.0 2 2)))) :rule all_simplify)
% 31.60/31.81  (step t129 (cl (= (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2)) (+ 0.0 (* 2 (tptp.imp 0.0 2 2))))) :rule cong :premises (t127 t128))
% 31.60/31.81  (step t130 (cl (= (+ 0.0 (* 2 (tptp.imp 0.0 2 2))) (* 2 (tptp.imp 0.0 2 2)))) :rule all_simplify)
% 31.60/31.81  (step t131 (cl (= (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2)) (* 2 (tptp.imp 0.0 2 2)))) :rule trans :premises (t129 t130))
% 31.60/31.81  (step t132 (cl (= (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))) (= (tptp.mysump 0.0 2 2 0) (* 2 (tptp.imp 0.0 2 2))))) :rule cong :premises (t122 t131))
% 31.60/31.81  (step t133 (cl (= (= (tptp.mysump 0.0 2 2 0) (* 2 (tptp.imp 0.0 2 2))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule all_simplify)
% 31.60/31.81  (step t134 (cl (= (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule trans :premises (t132 t133))
% 31.60/31.81  (step t135 (cl (= (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2)))) (or false (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule cong :premises (t118 t134))
% 31.60/31.81  (step t136 (cl (= (or false (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule all_simplify)
% 31.60/31.81  (step t137 (cl (= (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2)))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule trans :premises (t135 t136))
% 31.60/31.81  (step t138 (cl (= (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))))) (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule cong :premises (t114 t137))
% 31.60/31.81  (step t139 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T)))))) :rule implies_neg1)
% 31.60/31.81  (anchor :step t140)
% 31.60/31.81  (assume t140.a0 (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))))
% 31.60/31.81  (step t140.t1 (cl (or (not (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T)))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2)))))) :rule forall_inst :args ((:= D 0.0) (:= T 2) (:= C 2)))
% 31.60/31.81  (step t140.t2 (cl (not (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T)))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))))) :rule or :premises (t140.t1))
% 31.60/31.81  (step t140.t3 (cl (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))))) :rule resolution :premises (t140.t2 t140.a0))
% 31.60/31.81  (step t140 (cl (not (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T)))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))))) :rule subproof :discharge (t140.a0))
% 31.60/31.81  (step t141 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))))) :rule resolution :premises (t139 t140))
% 31.60/31.81  (step t142 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))))) (not (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2)))))) :rule implies_neg2)
% 31.60/31.81  (step t143 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2))))) (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2)))))) :rule resolution :premises (t141 t142))
% 31.60/31.81  (step t144 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysump 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) (* 0.0 (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) 2)))))) :rule contraction :premises (t143))
% 31.60/31.81  (step t145 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule resolution :premises (t113 t138 t144))
% 31.60/31.81  (step t146 (cl (not (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T)))))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) :rule implies :premises (t145))
% 31.60/31.81  (step t147 (cl (not (= (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (to_real T) (tptp.imp D T C)) (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2)))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))))) (not (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (to_real T) (tptp.imp D T C)) (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2))))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T)))))) :rule equiv_pos2)
% 31.60/31.81  (anchor :step t148 :args ((D Real) (:= D D) (T Int) (:= T T) (C Int) (:= C C)))
% 31.60/31.81  (step t148.t1 (cl (= D D)) :rule refl)
% 31.60/31.81  (step t148.t2 (cl (= T T)) :rule refl)
% 31.60/31.81  (step t148.t3 (cl (= C C)) :rule refl)
% 31.60/31.81  (step t148.t4 (cl (= (<= 1 C) (>= C 1))) :rule all_simplify)
% 31.60/31.81  (step t148.t5 (cl (= (* (to_real T) (tptp.imp D T C)) (* (tptp.imp D T C) T))) :rule all_simplify)
% 31.60/31.81  (step t148.t6 (cl (= D D)) :rule refl)
% 31.60/31.81  (step t148.t7 (cl (= (- C 1) (+ C (* (- 1) 1)))) :rule all_simplify)
% 31.60/31.81  (step t148.t8 (cl (= C C)) :rule refl)
% 31.60/31.81  (step t148.t9 (cl (= (* (- 1) 1) (- 1))) :rule all_simplify)
% 31.60/31.81  (step t148.t10 (cl (= (+ C (* (- 1) 1)) (+ C (- 1)))) :rule cong :premises (t148.t8 t148.t9))
% 31.60/31.81  (step t148.t11 (cl (= (+ C (- 1)) (+ (- 1) C))) :rule all_simplify)
% 31.60/31.81  (step t148.t12 (cl (= (+ C (* (- 1) 1)) (+ (- 1) C))) :rule trans :premises (t148.t10 t148.t11))
% 31.60/31.81  (step t148.t13 (cl (= (- C 1) (+ (- 1) C))) :rule trans :premises (t148.t7 t148.t12))
% 31.60/31.81  (step t148.t14 (cl (= (tptp.lk (- C 1)) (tptp.lk (+ (- 1) C)))) :rule cong :premises (t148.t13))
% 31.60/31.81  (step t148.t15 (cl (= (to_real (tptp.lk (- C 1))) (to_real (tptp.lk (+ (- 1) C))))) :rule cong :premises (t148.t14))
% 31.60/31.81  (step t148.t16 (cl (= (* D (to_real (tptp.lk (- C 1)))) (* D (to_real (tptp.lk (+ (- 1) C)))))) :rule cong :premises (t148.t6 t148.t15))
% 31.60/31.81  (step t148.t17 (cl (= (* D (to_real (tptp.lk (+ (- 1) C)))) (* D (tptp.lk (+ (- 1) C))))) :rule all_simplify)
% 31.60/31.81  (step t148.t18 (cl (= (* D (to_real (tptp.lk (- C 1)))) (* D (tptp.lk (+ (- 1) C))))) :rule trans :premises (t148.t16 t148.t17))
% 31.60/31.81  (step t148.t19 (cl (= T T)) :rule refl)
% 31.60/31.81  (step t148.t20 (cl (= (- C 2) (+ C (* (- 1) 2)))) :rule all_simplify)
% 31.60/31.81  (step t148.t21 (cl (= (* (- 1) 2) (- 2))) :rule all_simplify)
% 31.60/31.81  (step t148.t22 (cl (= (+ C (* (- 1) 2)) (+ C (- 2)))) :rule cong :premises (t148.t8 t148.t21))
% 31.60/31.81  (step t148.t23 (cl (= (+ C (- 2)) (+ (- 2) C))) :rule all_simplify)
% 31.60/31.81  (step t148.t24 (cl (= (+ C (* (- 1) 2)) (+ (- 2) C))) :rule trans :premises (t148.t22 t148.t23))
% 31.60/31.81  (step t148.t25 (cl (= (- C 2) (+ (- 2) C))) :rule trans :premises (t148.t20 t148.t24))
% 31.60/31.81  (step t148.t26 (cl (= (tptp.mysump D T C (- C 2)) (tptp.mysump D T C (+ (- 2) C)))) :rule cong :premises (t148.t6 t148.t19 t148.t8 t148.t25))
% 31.60/31.81  (step t148.t27 (cl (= (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2))) (+ (* D (tptp.lk (+ (- 1) C))) (tptp.mysump D T C (+ (- 2) C))))) :rule cong :premises (t148.t18 t148.t26))
% 31.60/31.81  (step t148.t28 (cl (= (+ (* D (tptp.lk (+ (- 1) C))) (tptp.mysump D T C (+ (- 2) C))) (+ (tptp.mysump D T C (+ (- 2) C)) (* D (tptp.lk (+ (- 1) C)))))) :rule all_simplify)
% 31.60/31.81  (step t148.t29 (cl (= (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2))) (+ (tptp.mysump D T C (+ (- 2) C)) (* D (tptp.lk (+ (- 1) C)))))) :rule trans :premises (t148.t27 t148.t28))
% 31.60/31.81  (step t148.t30 (cl (= (= (* (to_real T) (tptp.imp D T C)) (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2)))) (= (* (tptp.imp D T C) T) (+ (tptp.mysump D T C (+ (- 2) C)) (* D (tptp.lk (+ (- 1) C))))))) :rule cong :premises (t148.t5 t148.t29))
% 31.60/31.81  (step t148.t31 (cl (= (= (* (tptp.imp D T C) T) (+ (tptp.mysump D T C (+ (- 2) C)) (* D (tptp.lk (+ (- 1) C))))) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) :rule all_simplify)
% 31.60/31.81  (step t148.t32 (cl (= (= (* (to_real T) (tptp.imp D T C)) (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2)))) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) :rule trans :premises (t148.t30 t148.t31))
% 31.60/31.81  (step t148.t33 (cl (= (=> (<= 1 C) (= (* (to_real T) (tptp.imp D T C)) (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2))))) (=> (>= C 1) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T)))))) :rule cong :premises (t148.t4 t148.t32))
% 31.60/31.81  (step t148 (cl (= (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (to_real T) (tptp.imp D T C)) (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2)))))) (forall ((D Real) (T Int) (C Int)) (=> (>= C 1) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))))) :rule bind)
% 31.60/31.81  (step t149 (cl (= (forall ((D Real) (T Int) (C Int)) (=> (>= C 1) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))))) :rule all_simplify)
% 31.60/31.81  (step t150 (cl (= (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (to_real T) (tptp.imp D T C)) (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2)))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))))) :rule trans :premises (t148 t149))
% 31.60/31.81  (step t151 (cl (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T)))))) :rule resolution :premises (t147 t150 a17))
% 31.60/31.81  (step t152 (cl (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) :rule resolution :premises (t146 t151))
% 31.60/31.81  (step t153 (cl (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0)) (= (tptp.mysump 0.0 2 2 0) 0.0)) (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0))) :rule implies_neg1)
% 31.60/31.81  (anchor :step t154)
% 31.60/31.81  (assume t154.a0 (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0)))
% 31.60/31.81  (step t154.t1 (cl (or (not (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0))) (= (tptp.mysump 0.0 2 2 0) 0.0))) :rule forall_inst :args ((:= D 0.0) (:= T 2) (:= C 2)))
% 31.60/31.81  (step t154.t2 (cl (not (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0))) (= (tptp.mysump 0.0 2 2 0) 0.0)) :rule or :premises (t154.t1))
% 31.60/31.81  (step t154.t3 (cl (= (tptp.mysump 0.0 2 2 0) 0.0)) :rule resolution :premises (t154.t2 t154.a0))
% 31.60/31.81  (step t154 (cl (not (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0))) (= (tptp.mysump 0.0 2 2 0) 0.0)) :rule subproof :discharge (t154.a0))
% 31.60/31.81  (step t155 (cl (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0)) (= (tptp.mysump 0.0 2 2 0) 0.0)) (= (tptp.mysump 0.0 2 2 0) 0.0)) :rule resolution :premises (t153 t154))
% 31.60/31.81  (step t156 (cl (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0)) (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (= (tptp.mysump 0.0 2 2 0) 0.0))) :rule implies_neg2)
% 31.60/31.81  (step t157 (cl (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0)) (= (tptp.mysump 0.0 2 2 0) 0.0)) (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0)) (= (tptp.mysump 0.0 2 2 0) 0.0))) :rule resolution :premises (t155 t156))
% 31.60/31.81  (step t158 (cl (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0)) (= (tptp.mysump 0.0 2 2 0) 0.0))) :rule contraction :premises (t157))
% 31.60/31.81  (step t159 (cl (not (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0))) (= (tptp.mysump 0.0 2 2 0) 0.0)) :rule implies :premises (t158))
% 31.60/31.81  (step t160 (cl (= (tptp.mysump 0.0 2 2 0) 0.0)) :rule resolution :premises (t159 a18))
% 31.60/31.81  (step t161 (cl (not (= (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (not (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule equiv_pos2)
% 31.60/31.81  (step t162 (cl (= (= (= (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) true) (= (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule equiv_simplify)
% 31.60/31.81  (step t163 (cl (not (= (= (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) true)) (= (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule equiv1 :premises (t162))
% 31.60/31.81  (step t164 (cl (= (= (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))))) :rule all_simplify)
% 31.60/31.81  (step t165 (cl (= (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule refl)
% 31.60/31.81  (step t166 (cl (= (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule all_simplify)
% 31.60/31.81  (step t167 (cl (= (= (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (= (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule cong :premises (t165 t166))
% 31.60/31.81  (step t168 (cl (= (= (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) true)) :rule all_simplify)
% 31.60/31.81  (step t169 (cl (= (= (>= (* (- 1) (tptp.imp 0.0 2 2)) 0) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) true)) :rule trans :premises (t167 t168))
% 31.60/31.81  (step t170 (cl (= (= (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) true)) :rule trans :premises (t164 t169))
% 31.60/31.81  (step t171 (cl (= (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule resolution :premises (t163 t170))
% 31.60/31.81  (step t172 (cl (= (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule cong :premises (t49 t50 t171))
% 31.60/31.81  (step t173 (cl (not (= (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))))) (not (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) :rule equiv_pos2)
% 31.60/31.81  (step t174 (cl (= (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) :rule refl)
% 31.60/31.81  (step t175 (cl (= (= (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))))) :rule equiv_simplify)
% 31.60/31.81  (step t176 (cl (= (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (not (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))))) :rule equiv2 :premises (t175))
% 31.60/31.81  (step t177 (cl (not (not (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule not_not)
% 31.60/31.81  (step t178 (cl (= (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule resolution :premises (t176 t177))
% 31.60/31.81  (step t179 (cl (=> (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule implies_neg1)
% 31.60/31.81  (anchor :step t180)
% 31.60/31.81  (assume t180.a0 (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))
% 31.60/31.81  (assume t180.a1 (= (tptp.mysump 0.0 2 2 0) 0.0))
% 31.60/31.81  (assume t180.a2 (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))
% 31.60/31.81  (step t180.t1 (cl (not (= (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) :rule equiv_pos2)
% 31.60/31.81  (step t180.t2 (cl (= (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule all_simplify)
% 31.60/31.81  (step t180.t3 (cl (= (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) :rule symm :premises (t180.t2))
% 31.60/31.81  (step t180.t4 (cl (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) :rule resolution :premises (t180.t1 t180.t3 t180.a2))
% 31.60/31.81  (step t180.t5 (cl (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) :rule implies_neg1)
% 31.60/31.81  (anchor :step t180.t6)
% 31.60/31.81  (assume t180.t6.a0 (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))
% 31.60/31.81  (step t180.t6.t1 (cl (not (= (< (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0))) false)) (not (< (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0)))) false) :rule equiv_pos2)
% 31.60/31.81  (step t180.t6.t2 (cl (= (< (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0))) (not (>= (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0)))))) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t3 (cl (= (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))))) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t4 (cl (= (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) :rule refl)
% 31.60/31.81  (step t180.t6.t5 (cl (= (* (- 1.0) (tptp.imp 0.0 2 2)) (* (- 1) (tptp.imp 0.0 2 2)))) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t6 (cl (= (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1) (tptp.imp 0.0 2 2))))) :rule cong :premises (t180.t6.t3 t180.t6.t4 t180.t6.t5))
% 31.60/31.81  (step t180.t6.t7 (cl (= (+ (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1) (tptp.imp 0.0 2 2))) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t8 (cl (= (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) 0.0)) :rule trans :premises (t180.t6.t6 t180.t6.t7))
% 31.60/31.81  (step t180.t6.t9 (cl (= (* 1.0 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t10 (cl (= (* (/ 1 2) 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t11 (cl (= (* (- 1.0) 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t12 (cl (= (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0)) (+ 0.0 0.0 0.0))) :rule cong :premises (t180.t6.t9 t180.t6.t10 t180.t6.t11))
% 31.60/31.81  (step t180.t6.t13 (cl (= (+ 0.0 0.0 0.0) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t14 (cl (= (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0)) 0.0)) :rule trans :premises (t180.t6.t12 t180.t6.t13))
% 31.60/31.81  (step t180.t6.t15 (cl (= (>= (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0))) (>= 0.0 0.0))) :rule cong :premises (t180.t6.t8 t180.t6.t14))
% 31.60/31.81  (step t180.t6.t16 (cl (= (>= 0.0 0.0) true)) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t17 (cl (= (>= (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0))) true)) :rule trans :premises (t180.t6.t15 t180.t6.t16))
% 31.60/31.81  (step t180.t6.t18 (cl (= (not (>= (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0)))) (not true))) :rule cong :premises (t180.t6.t17))
% 31.60/31.81  (step t180.t6.t19 (cl (= (not (>= (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0)))) false)) :rule trans :premises (t180.t6.t18 t117))
% 31.60/31.81  (step t180.t6.t20 (cl (= (< (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0))) false)) :rule trans :premises (t180.t6.t2 t180.t6.t19))
% 31.60/31.81  (step t180.t6.t21 (cl (not (= (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* 1.0 0.0))) (not (= (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (/ 1 2) 0.0))) (not (< (* (- 1.0) (tptp.imp 0.0 2 2)) (* (- 1.0) 0.0))) (< (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0)))) :rule la_generic :args ((- 1) (- 1) 1 1))
% 31.60/31.81  (step t180.t6.t22 (cl (=> (and (> 1.0 0) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) (= (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* 1.0 0.0)))) :rule la_mult_pos)
% 31.60/31.81  (step t180.t6.t23 (cl (not (and (> 1.0 0) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) (= (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* 1.0 0.0))) :rule implies :premises (t180.t6.t22))
% 31.60/31.81  (step t180.t6.t24 (cl (and (> 1.0 0) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) (not (> 1.0 0)) (not (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) :rule and_neg)
% 31.60/31.81  (step t180.t6.t25 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 31.60/31.81  (step t180.t6.t26 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t180.t6.t25))
% 31.60/31.81  (step t180.t6.t27 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 31.60/31.81  (step t180.t6.t28 (cl (> 1.0 0)) :rule resolution :premises (t180.t6.t26 t180.t6.t27))
% 31.60/31.81  (step t180.t6.t29 (cl (and (> 1.0 0) (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) :rule resolution :premises (t180.t6.t24 t180.t6.t28 t180.t6.a0))
% 31.60/31.81  (step t180.t6.t30 (cl (= (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* 1.0 0.0))) :rule resolution :premises (t180.t6.t23 t180.t6.t29))
% 31.60/31.81  (step t180.t6.t31 (cl (=> (and (> (/ 1 2) 0) (= (tptp.mysump 0.0 2 2 0) 0.0)) (= (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (/ 1 2) 0.0)))) :rule la_mult_pos)
% 31.60/31.81  (step t180.t6.t32 (cl (not (and (> (/ 1 2) 0) (= (tptp.mysump 0.0 2 2 0) 0.0))) (= (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (/ 1 2) 0.0))) :rule implies :premises (t180.t6.t31))
% 31.60/31.81  (step t180.t6.t33 (cl (and (> (/ 1 2) 0) (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (> (/ 1 2) 0)) (not (= (tptp.mysump 0.0 2 2 0) 0.0))) :rule and_neg)
% 31.60/31.81  (step t180.t6.t34 (cl (= (= (> (/ 1 2) 0) true) (> (/ 1 2) 0))) :rule equiv_simplify)
% 31.60/31.81  (step t180.t6.t35 (cl (not (= (> (/ 1 2) 0) true)) (> (/ 1 2) 0)) :rule equiv1 :premises (t180.t6.t34))
% 31.60/31.81  (step t180.t6.t36 (cl (= (> (/ 1 2) 0) true)) :rule hole :args ((> (/ 1 2) 0)))
% 31.60/31.81  (step t180.t6.t37 (cl (> (/ 1 2) 0)) :rule resolution :premises (t180.t6.t35 t180.t6.t36))
% 31.60/31.81  (step t180.t6.t38 (cl (and (> (/ 1 2) 0) (= (tptp.mysump 0.0 2 2 0) 0.0))) :rule resolution :premises (t180.t6.t33 t180.t6.t37 t180.a1))
% 31.60/31.81  (step t180.t6.t39 (cl (= (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (/ 1 2) 0.0))) :rule resolution :premises (t180.t6.t32 t180.t6.t38))
% 31.60/31.81  (step t180.t6.t40 (cl (=> (and (< (- 1.0) 0) (> (tptp.imp 0.0 2 2) 0.0)) (< (* (- 1.0) (tptp.imp 0.0 2 2)) (* (- 1.0) 0.0)))) :rule la_mult_neg)
% 31.60/31.81  (step t180.t6.t41 (cl (not (and (< (- 1.0) 0) (> (tptp.imp 0.0 2 2) 0.0))) (< (* (- 1.0) (tptp.imp 0.0 2 2)) (* (- 1.0) 0.0))) :rule implies :premises (t180.t6.t40))
% 31.60/31.81  (step t180.t6.t42 (cl (and (< (- 1.0) 0) (> (tptp.imp 0.0 2 2) 0.0)) (not (< (- 1.0) 0)) (not (> (tptp.imp 0.0 2 2) 0.0))) :rule and_neg)
% 31.60/31.81  (step t180.t6.t43 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 31.60/31.81  (step t180.t6.t44 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t180.t6.t43))
% 31.60/31.81  (step t180.t6.t45 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 31.60/31.81  (step t180.t6.t46 (cl (< (- 1.0) 0)) :rule resolution :premises (t180.t6.t44 t180.t6.t45))
% 31.60/31.81  (step t180.t6.t47 (cl (not (= (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (> (tptp.imp 0.0 2 2) 0.0))) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (> (tptp.imp 0.0 2 2) 0.0)) :rule equiv_pos2)
% 31.60/31.81  (step t180.t6.t48 (cl (= (> (tptp.imp 0.0 2 2) 0.0) (not (<= (tptp.imp 0.0 2 2) 0.0)))) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t49 (cl (= (<= (tptp.imp 0.0 2 2) 0.0) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule all_simplify)
% 31.60/31.81  (step t180.t6.t50 (cl (= (not (<= (tptp.imp 0.0 2 2) 0.0)) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule cong :premises (t180.t6.t49))
% 31.60/31.81  (step t180.t6.t51 (cl (= (> (tptp.imp 0.0 2 2) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule trans :premises (t180.t6.t48 t180.t6.t50))
% 31.60/31.81  (step t180.t6.t52 (cl (= (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (> (tptp.imp 0.0 2 2) 0.0))) :rule symm :premises (t180.t6.t51))
% 31.60/31.81  (step t180.t6.t53 (cl (> (tptp.imp 0.0 2 2) 0.0)) :rule resolution :premises (t180.t6.t47 t180.t6.t52 t180.a0))
% 31.60/31.81  (step t180.t6.t54 (cl (and (< (- 1.0) 0) (> (tptp.imp 0.0 2 2) 0.0))) :rule resolution :premises (t180.t6.t42 t180.t6.t46 t180.t6.t53))
% 31.60/31.81  (step t180.t6.t55 (cl (< (* (- 1.0) (tptp.imp 0.0 2 2)) (* (- 1.0) 0.0))) :rule resolution :premises (t180.t6.t41 t180.t6.t54))
% 31.60/31.81  (step t180.t6.t56 (cl (< (+ (* 1.0 (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0)))) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)) (* (- 1.0) (tptp.imp 0.0 2 2))) (+ (* 1.0 0.0) (* (/ 1 2) 0.0) (* (- 1.0) 0.0)))) :rule resolution :premises (t180.t6.t21 t180.t6.t30 t180.t6.t39 t180.t6.t55))
% 31.60/31.81  (step t180.t6.t57 (cl false) :rule resolution :premises (t180.t6.t1 t180.t6.t20 t180.t6.t56))
% 31.60/31.81  (step t180.t6 (cl (not (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)) false) :rule subproof :discharge (t180.t6.a0))
% 31.60/31.81  (step t180.t7 (cl (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false) false) :rule resolution :premises (t180.t5 t180.t6))
% 31.60/31.81  (step t180.t8 (cl (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false) (not false)) :rule implies_neg2)
% 31.60/31.81  (step t180.t9 (cl (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false) (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false)) :rule resolution :premises (t180.t7 t180.t8))
% 31.60/31.81  (step t180.t10 (cl (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false)) :rule contraction :premises (t180.t9))
% 31.60/31.81  (step t180.t11 (cl (= (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false) (not (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0)))) :rule implies_simplify)
% 31.60/31.81  (step t180.t12 (cl (not (=> (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0) false)) (not (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) :rule equiv1 :premises (t180.t11))
% 31.60/31.81  (step t180.t13 (cl (not (= (+ (tptp.imp 0.0 2 2) (* (/ (- 1) 2) (tptp.mysump 0.0 2 2 0))) 0.0))) :rule resolution :premises (t180.t10 t180.t12))
% 31.60/31.81  (step t180.t14 (cl) :rule resolution :premises (t180.t4 t180.t13))
% 31.60/31.81  (step t180 (cl (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) :rule subproof :discharge (t180.a0 t180.a1 t180.a2))
% 31.60/31.81  (step t181 (cl (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule and_pos)
% 31.60/31.81  (step t182 (cl (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (= (tptp.mysump 0.0 2 2 0) 0.0)) :rule and_pos)
% 31.60/31.81  (step t183 (cl (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) :rule and_pos)
% 31.60/31.81  (step t184 (cl false (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule resolution :premises (t180 t181 t182 t183))
% 31.60/31.81  (step t185 (cl (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) false) :rule reordering :premises (t184))
% 31.60/31.81  (step t186 (cl (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) false) :rule contraction :premises (t185))
% 31.60/31.81  (step t187 (cl (=> (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) false) :rule resolution :premises (t179 t186))
% 31.60/31.81  (step t188 (cl (=> (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (not false)) :rule implies_neg2)
% 31.60/31.81  (step t189 (cl (=> (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (=> (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false)) :rule resolution :premises (t187 t188))
% 31.60/31.81  (step t190 (cl (=> (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false)) :rule contraction :premises (t189))
% 31.60/31.81  (step t191 (cl (= (=> (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false) (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))))) :rule implies_simplify)
% 31.60/31.81  (step t192 (cl (not (=> (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false)) (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule equiv1 :premises (t191))
% 31.60/31.81  (step t193 (cl (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule resolution :premises (t190 t192))
% 31.60/31.81  (step t194 (cl (= (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) false)) :rule resolution :premises (t178 t193))
% 31.60/31.81  (step t195 (cl (= (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) false))) :rule cong :premises (t174 t194))
% 31.60/31.81  (step t196 (cl (= (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) false) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))))) :rule all_simplify)
% 31.60/31.81  (step t197 (cl (= (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))))) :rule trans :premises (t195 t196))
% 31.60/31.81  (step t198 (cl (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule implies_neg1)
% 31.60/31.81  (anchor :step t199)
% 31.60/31.81  (assume t199.a0 (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))
% 31.60/31.81  (assume t199.a1 (= (tptp.mysump 0.0 2 2 0) 0.0))
% 31.60/31.81  (assume t199.a2 (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))
% 31.60/31.81  (step t199.t1 (cl (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule and_neg)
% 31.60/31.81  (step t199.t2 (cl (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule resolution :premises (t199.t1 t199.a2 t199.a1 t199.a0))
% 31.60/31.81  (step t199 (cl (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule subproof :discharge (t199.a0 t199.a1 t199.a2))
% 31.60/31.81  (step t200 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) :rule and_pos)
% 31.60/31.81  (step t201 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (= (tptp.mysump 0.0 2 2 0) 0.0)) :rule and_pos)
% 31.60/31.81  (step t202 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule and_pos)
% 31.60/31.81  (step t203 (cl (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) :rule resolution :premises (t199 t200 t201 t202))
% 31.60/31.81  (step t204 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule reordering :premises (t203))
% 31.60/31.81  (step t205 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule contraction :premises (t204))
% 31.60/31.81  (step t206 (cl (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) :rule resolution :premises (t198 t205))
% 31.60/31.81  (step t207 (cl (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (not (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule implies_neg2)
% 31.60/31.81  (step t208 (cl (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))))) (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule resolution :premises (t206 t207))
% 31.60/31.81  (step t209 (cl (=> (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) (and (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) (= (tptp.mysump 0.0 2 2 0) 0.0) (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule contraction :premises (t208))
% 31.60/31.81  (step t210 (cl (not (and (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0))) (= (tptp.mysump 0.0 2 2 0) 0.0) (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) :rule resolution :premises (t173 t197 t209))
% 31.60/31.81  (step t211 (cl (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) :rule not_and :premises (t210))
% 31.60/31.81  (step t212 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (not (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))))) :rule or_neg)
% 31.60/31.81  (step t213 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (not (not (= (tptp.mysump 0.0 2 2 0) 0.0)))) :rule or_neg)
% 31.60/31.81  (step t214 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (not (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) :rule or_neg)
% 31.60/31.81  (step t215 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)))) (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) :rule resolution :premises (t211 t212 t213 t214))
% 31.60/31.81  (step t216 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (not (not (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))))) :rule contraction :premises (t215))
% 31.60/31.81  (step t217 (cl (or (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0))) :rule resolution :premises (t161 t172 t216))
% 31.60/31.81  (step t218 (cl (not (= (tptp.imp 0.0 2 2) (* (/ 1 2) (tptp.mysump 0.0 2 2 0)))) (not (= (tptp.mysump 0.0 2 2 0) 0.0)) (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) :rule or :premises (t217))
% 31.60/31.81  (step t219 (cl (>= (* (- 1) (tptp.imp 0.0 2 2)) 0)) :rule resolution :premises (t218 t152 t160))
% 31.60/31.81  (step t220 (cl (= (tptp.imp 0.0 2 2) 0.0)) :rule resolution :premises (t112 t152 t160 t219))
% 31.60/31.81  (step t221 (cl (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)) 0.0)) :rule resolution :premises (t47 t220))
% 31.60/31.81  (step t222 (cl (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0)) (= (tptp.mysumr 0.0 2 2 0) 0.0)) (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0))) :rule implies_neg1)
% 31.60/31.81  (anchor :step t223)
% 31.60/31.81  (assume t223.a0 (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0)))
% 31.60/31.81  (step t223.t1 (cl (or (not (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0))) (= (tptp.mysumr 0.0 2 2 0) 0.0))) :rule forall_inst :args ((:= D 0.0) (:= T 2) (:= C 2)))
% 31.60/31.81  (step t223.t2 (cl (not (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0))) (= (tptp.mysumr 0.0 2 2 0) 0.0)) :rule or :premises (t223.t1))
% 31.60/31.81  (step t223.t3 (cl (= (tptp.mysumr 0.0 2 2 0) 0.0)) :rule resolution :premises (t223.t2 t223.a0))
% 31.60/31.81  (step t223 (cl (not (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0))) (= (tptp.mysumr 0.0 2 2 0) 0.0)) :rule subproof :discharge (t223.a0))
% 31.60/31.81  (step t224 (cl (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0)) (= (tptp.mysumr 0.0 2 2 0) 0.0)) (= (tptp.mysumr 0.0 2 2 0) 0.0)) :rule resolution :premises (t222 t223))
% 31.60/31.81  (step t225 (cl (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0)) (= (tptp.mysumr 0.0 2 2 0) 0.0)) (not (= (tptp.mysumr 0.0 2 2 0) 0.0))) :rule implies_neg2)
% 31.60/31.81  (step t226 (cl (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0)) (= (tptp.mysumr 0.0 2 2 0) 0.0)) (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0)) (= (tptp.mysumr 0.0 2 2 0) 0.0))) :rule resolution :premises (t224 t225))
% 31.60/31.81  (step t227 (cl (=> (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0)) (= (tptp.mysumr 0.0 2 2 0) 0.0))) :rule contraction :premises (t226))
% 31.60/31.81  (step t228 (cl (not (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0))) (= (tptp.mysumr 0.0 2 2 0) 0.0)) :rule implies :premises (t227))
% 31.60/31.81  (step t229 (cl (= (tptp.mysumr 0.0 2 2 0) 0.0)) :rule resolution :premises (t228 a22))
% 31.60/31.81  (step t230 (cl (not (= (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))))) (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))))) (not (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2)))))) (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))))) :rule equiv_pos2)
% 31.60/31.81  (step t231 (cl (= (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))))) :rule refl)
% 31.60/31.81  (step t232 (cl (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (tptp.mysumr 0.0 2 2 0))) :rule cong :premises (t119 t120 t120 t121))
% 31.60/31.81  (step t233 (cl (= (* (- 1) 2) (- 2))) :rule all_simplify)
% 31.60/31.81  (step t234 (cl (= (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2))) 0.0)) :rule all_simplify)
% 31.60/31.81  (step t235 (cl (= (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (- 1) 0.0))) :rule cong :premises (t123 t234))
% 31.60/31.81  (step t236 (cl (= (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) 0.0)) :rule trans :premises (t235 t126))
% 31.60/31.81  (step t237 (cl (= (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))) :rule all_simplify)
% 31.60/31.81  (step t238 (cl (= (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2)) (+ (- 2) 0.0 (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) :rule cong :premises (t233 t236 t237))
% 31.60/31.81  (step t239 (cl (= (+ (- 2) 0.0 (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) :rule all_simplify)
% 31.60/31.81  (step t240 (cl (= (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2)) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) :rule trans :premises (t238 t239))
% 31.60/31.81  (step t241 (cl (= (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))))) :rule cong :premises (t232 t240))
% 31.60/31.81  (step t242 (cl (= (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2)))) (or false (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))))) :rule cong :premises (t118 t241))
% 31.60/31.81  (step t243 (cl (= (or false (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))))) :rule all_simplify)
% 31.60/31.81  (step t244 (cl (= (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2)))) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))))) :rule trans :premises (t242 t243))
% 31.60/31.81  (step t245 (cl (= (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))))) (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))))) :rule cong :premises (t231 t244))
% 31.60/31.81  (step t246 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T)))))) :rule implies_neg1)
% 31.60/31.81  (anchor :step t247)
% 31.60/31.81  (assume t247.a0 (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))))
% 31.60/31.81  (step t247.t1 (cl (or (not (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T)))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2)))))) :rule forall_inst :args ((:= D 0.0) (:= T 2) (:= C 2)))
% 31.60/31.81  (step t247.t2 (cl (not (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T)))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))))) :rule or :premises (t247.t1))
% 31.60/31.81  (step t247.t3 (cl (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))))) :rule resolution :premises (t247.t2 t247.a0))
% 31.60/31.81  (step t247 (cl (not (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T)))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))))) :rule subproof :discharge (t247.a0))
% 31.60/31.81  (step t248 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))))) :rule resolution :premises (t246 t247))
% 31.60/31.81  (step t249 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))))) (not (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2)))))) :rule implies_neg2)
% 31.60/31.81  (step t250 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2))))) (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2)))))) :rule resolution :premises (t248 t249))
% 31.60/31.81  (step t251 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (or (not (>= 2 1)) (= (tptp.mysumr 0.0 2 2 (+ (- 2) 2)) (+ (* (- 1) 2) (* (- 1) (* 0.0 (tptp.recexp 0.0 2 (+ (- 1) 2)) (tptp.lk (+ (- 1) 2)))) (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2) 2)))))) :rule contraction :premises (t250))
% 31.60/31.81  (step t252 (cl (=> (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2))))))) :rule resolution :premises (t230 t245 t251))
% 31.60/31.81  (step t253 (cl (not (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T)))))) (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) :rule implies :premises (t252))
% 31.60/31.81  (step t254 (cl (not (= (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (tptp.imp D T C) (* (to_real T) (tptp.recexp D T C))) (+ (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1))))) (tptp.mysumr D T C (- C 2)))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))))) (not (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (tptp.imp D T C) (* (to_real T) (tptp.recexp D T C))) (+ (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1))))) (tptp.mysumr D T C (- C 2))))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T)))))) :rule equiv_pos2)
% 31.60/31.81  (anchor :step t255 :args ((D Real) (:= D D) (T Int) (:= T T) (C Int) (:= C C)))
% 31.60/31.81  (step t255.t1 (cl (= D D)) :rule refl)
% 31.60/31.81  (step t255.t2 (cl (= T T)) :rule refl)
% 31.60/31.81  (step t255.t3 (cl (= C C)) :rule refl)
% 31.60/31.81  (step t255.t4 (cl (= (<= 1 C) (>= C 1))) :rule all_simplify)
% 31.60/31.81  (step t255.t5 (cl (= (tptp.imp D T C) (tptp.imp D T C))) :rule refl)
% 31.60/31.81  (step t255.t6 (cl (= (* (to_real T) (tptp.recexp D T C)) (* (tptp.recexp D T C) T))) :rule all_simplify)
% 31.60/31.81  (step t255.t7 (cl (= (* (tptp.imp D T C) (* (to_real T) (tptp.recexp D T C))) (* (tptp.imp D T C) (* (tptp.recexp D T C) T)))) :rule cong :premises (t255.t5 t255.t6))
% 31.60/31.81  (step t255.t8 (cl (= (* (tptp.imp D T C) (* (tptp.recexp D T C) T)) (* (tptp.imp D T C) (tptp.recexp D T C) T))) :rule all_simplify)
% 31.60/31.81  (step t255.t9 (cl (= (* (tptp.imp D T C) (* (to_real T) (tptp.recexp D T C))) (* (tptp.imp D T C) (tptp.recexp D T C) T))) :rule trans :premises (t255.t7 t255.t8))
% 31.60/31.81  (step t255.t10 (cl (= (+ (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1))))) (tptp.mysumr D T C (- C 2))) (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1)))) (tptp.mysumr D T C (- C 2))))) :rule all_simplify)
% 31.60/31.81  (step t255.t11 (cl (= (to_real T) (to_real T))) :rule refl)
% 31.60/31.81  (step t255.t12 (cl (= D D)) :rule refl)
% 31.60/31.81  (step t255.t13 (cl (= T T)) :rule refl)
% 31.60/31.81  (step t255.t14 (cl (= (- C 1) (+ C (* (- 1) 1)))) :rule all_simplify)
% 31.60/31.81  (step t255.t15 (cl (= C C)) :rule refl)
% 31.60/31.81  (step t255.t16 (cl (= (* (- 1) 1) (- 1))) :rule all_simplify)
% 31.60/31.81  (step t255.t17 (cl (= (+ C (* (- 1) 1)) (+ C (- 1)))) :rule cong :premises (t255.t15 t255.t16))
% 31.60/31.81  (step t255.t18 (cl (= (+ C (- 1)) (+ (- 1) C))) :rule all_simplify)
% 31.60/31.81  (step t255.t19 (cl (= (+ C (* (- 1) 1)) (+ (- 1) C))) :rule trans :premises (t255.t17 t255.t18))
% 31.60/31.81  (step t255.t20 (cl (= (- C 1) (+ (- 1) C))) :rule trans :premises (t255.t14 t255.t19))
% 31.60/31.81  (step t255.t21 (cl (= (tptp.recexp D T (- C 1)) (tptp.recexp D T (+ (- 1) C)))) :rule cong :premises (t255.t12 t255.t13 t255.t20))
% 31.60/31.81  (step t255.t22 (cl (= (* D (tptp.recexp D T (- C 1))) (* D (tptp.recexp D T (+ (- 1) C))))) :rule cong :premises (t255.t12 t255.t21))
% 31.60/31.81  (step t255.t23 (cl (= (* D (tptp.recexp D T (+ (- 1) C))) (* D (tptp.recexp D T (+ (- 1) C))))) :rule all_simplify)
% 31.60/31.81  (step t255.t24 (cl (= (* D (tptp.recexp D T (- C 1))) (* D (tptp.recexp D T (+ (- 1) C))))) :rule trans :premises (t255.t22 t255.t23))
% 31.60/31.81  (step t255.t25 (cl (= (tptp.lk (- C 1)) (tptp.lk (+ (- 1) C)))) :rule cong :premises (t255.t20))
% 31.60/31.81  (step t255.t26 (cl (= (to_real (tptp.lk (- C 1))) (to_real (tptp.lk (+ (- 1) C))))) :rule cong :premises (t255.t25))
% 31.60/31.81  (step t255.t27 (cl (= (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1)))) (* (* D (tptp.recexp D T (+ (- 1) C))) (to_real (tptp.lk (+ (- 1) C)))))) :rule cong :premises (t255.t24 t255.t26))
% 31.60/31.81  (step t255.t28 (cl (= (* (* D (tptp.recexp D T (+ (- 1) C))) (to_real (tptp.lk (+ (- 1) C)))) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C))))) :rule all_simplify)
% 31.60/31.81  (step t255.t29 (cl (= (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1)))) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C))))) :rule trans :premises (t255.t27 t255.t28))
% 31.60/31.81  (step t255.t30 (cl (= (- C 2) (+ C (* (- 1) 2)))) :rule all_simplify)
% 31.60/31.81  (step t255.t31 (cl (= (+ C (* (- 1) 2)) (+ C (- 2)))) :rule cong :premises (t255.t15 t233))
% 31.60/31.81  (step t255.t32 (cl (= (+ C (- 2)) (+ (- 2) C))) :rule all_simplify)
% 31.60/31.81  (step t255.t33 (cl (= (+ C (* (- 1) 2)) (+ (- 2) C))) :rule trans :premises (t255.t31 t255.t32))
% 31.60/31.81  (step t255.t34 (cl (= (- C 2) (+ (- 2) C))) :rule trans :premises (t255.t30 t255.t33))
% 31.60/31.81  (step t255.t35 (cl (= (tptp.mysumr D T C (- C 2)) (tptp.mysumr D T C (+ (- 2) C)))) :rule cong :premises (t255.t12 t255.t13 t255.t15 t255.t34))
% 31.60/31.81  (step t255.t36 (cl (= (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1)))) (tptp.mysumr D T C (- C 2))) (+ (to_real T) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C))) (tptp.mysumr D T C (+ (- 2) C))))) :rule cong :premises (t255.t11 t255.t29 t255.t35))
% 31.60/31.81  (step t255.t37 (cl (= (+ (to_real T) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C))) (tptp.mysumr D T C (+ (- 2) C))) (+ (tptp.mysumr D T C (+ (- 2) C)) T (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))))) :rule all_simplify)
% 31.60/31.81  (step t255.t38 (cl (= (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1)))) (tptp.mysumr D T C (- C 2))) (+ (tptp.mysumr D T C (+ (- 2) C)) T (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))))) :rule trans :premises (t255.t36 t255.t37))
% 31.60/31.81  (step t255.t39 (cl (= (+ (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1))))) (tptp.mysumr D T C (- C 2))) (+ (tptp.mysumr D T C (+ (- 2) C)) T (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))))) :rule trans :premises (t255.t10 t255.t38))
% 31.60/31.81  (step t255.t40 (cl (= (= (* (tptp.imp D T C) (* (to_real T) (tptp.recexp D T C))) (+ (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1))))) (tptp.mysumr D T C (- C 2)))) (= (* (tptp.imp D T C) (tptp.recexp D T C) T) (+ (tptp.mysumr D T C (+ (- 2) C)) T (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C))))))) :rule cong :premises (t255.t9 t255.t39))
% 31.60/31.81  (step t255.t41 (cl (= (= (* (tptp.imp D T C) (tptp.recexp D T C) T) (+ (tptp.mysumr D T C (+ (- 2) C)) T (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C))))) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) :rule all_simplify)
% 31.60/31.81  (step t255.t42 (cl (= (= (* (tptp.imp D T C) (* (to_real T) (tptp.recexp D T C))) (+ (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1))))) (tptp.mysumr D T C (- C 2)))) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) :rule trans :premises (t255.t40 t255.t41))
% 31.60/31.81  (step t255.t43 (cl (= (=> (<= 1 C) (= (* (tptp.imp D T C) (* (to_real T) (tptp.recexp D T C))) (+ (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1))))) (tptp.mysumr D T C (- C 2))))) (=> (>= C 1) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T)))))) :rule cong :premises (t255.t4 t255.t42))
% 31.60/31.81  (step t255 (cl (= (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (tptp.imp D T C) (* (to_real T) (tptp.recexp D T C))) (+ (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1))))) (tptp.mysumr D T C (- C 2)))))) (forall ((D Real) (T Int) (C Int)) (=> (>= C 1) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))))) :rule bind)
% 31.60/31.82  (step t256 (cl (= (forall ((D Real) (T Int) (C Int)) (=> (>= C 1) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))))) :rule all_simplify)
% 31.60/31.82  (step t257 (cl (= (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (tptp.imp D T C) (* (to_real T) (tptp.recexp D T C))) (+ (+ (to_real T) (* (* D (tptp.recexp D T (- C 1))) (to_real (tptp.lk (- C 1))))) (tptp.mysumr D T C (- C 2)))))) (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T))))))) :rule trans :premises (t255 t256))
% 31.60/31.82  (step t258 (cl (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T (+ (- 1) C)) (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) (tptp.recexp D T C) T)))))) :rule resolution :premises (t254 t257 a21))
% 31.60/31.82  (step t259 (cl (= (tptp.mysumr 0.0 2 2 0) (+ (- 2) (* 2 (* (tptp.imp 0.0 2 2) (tptp.recexp 0.0 2 2)))))) :rule resolution :premises (t253 t258))
% 31.60/31.82  (step t260 (cl) :rule resolution :premises (t39 t221 t229 t259))
% 31.60/31.82  
% 31.60/31.82  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.zXU0DV6RxS/cvc5---1.0.5_25843.smt2
% 31.60/31.82  % cvc5---1.0.5 exiting
% 31.60/31.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------