%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI640_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 16:34:21 EDT 2024

% Result   : Theorem 0.21s 0.59s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ARI640_1 : TPTP v8.2.0. Released v6.3.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n002.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   : Mon May 27 05:47:54 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_ARI
% 0.21/0.59  --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.59  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.bDGpcGREX3/cvc5---1.0.5_22183.smt2
% 0.21/0.59  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.bDGpcGREX3/cvc5---1.0.5_22183.smt2
% 0.21/0.59  (assume a0 (> tptp.x 0.0))
% 0.21/0.59  (assume a1 (> tptp.y 0.0))
% 0.21/0.59  (assume a2 (< tptp.y 1.0))
% 0.21/0.59  (assume a3 (> (* tptp.x tptp.y) (+ tptp.x tptp.y)))
% 0.21/0.59  (assume a4 (not false))
% 0.21/0.59  (assume a5 true)
% 0.21/0.59  (step t1 (cl (not (= (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0)))) (or (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (>= (* tptp.x tptp.y) 0)))) (not (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0))))) (or (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (>= (* tptp.x tptp.y) 0))) :rule equiv_pos2)
% 0.21/0.59  (step t2 (cl (= (= (= (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) true) (= (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) :rule equiv_simplify)
% 0.21/0.59  (step t3 (cl (not (= (= (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) true)) (= (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule equiv1 :premises (t2))
% 0.21/0.59  (step t4 (cl (= (= (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (= (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))))) :rule all_simplify)
% 0.21/0.59  (step t5 (cl (= (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule refl)
% 0.21/0.59  (step t6 (cl (= (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule all_simplify)
% 0.21/0.59  (step t7 (cl (= (= (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) (= (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) :rule cong :premises (t5 t6))
% 0.21/0.59  (step t8 (cl (= (= (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) true)) :rule all_simplify)
% 0.21/0.59  (step t9 (cl (= (= (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) true)) :rule trans :premises (t7 t8))
% 0.21/0.59  (step t10 (cl (= (= (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) true)) :rule trans :premises (t4 t9))
% 0.21/0.59  (step t11 (cl (= (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule resolution :premises (t3 t10))
% 0.21/0.59  (step t12 (cl (= (not (>= tptp.y 0)) (not (>= tptp.y 0)))) :rule refl)
% 0.21/0.59  (step t13 (cl (= (not (>= tptp.x 0)) (not (>= tptp.x 0)))) :rule refl)
% 0.21/0.59  (step t14 (cl (= (= (= (not (not (>= (* tptp.x tptp.y) 0))) (>= (* tptp.x tptp.y) 0)) true) (= (not (not (>= (* tptp.x tptp.y) 0))) (>= (* tptp.x tptp.y) 0)))) :rule equiv_simplify)
% 0.21/0.59  (step t15 (cl (not (= (= (not (not (>= (* tptp.x tptp.y) 0))) (>= (* tptp.x tptp.y) 0)) true)) (= (not (not (>= (* tptp.x tptp.y) 0))) (>= (* tptp.x tptp.y) 0))) :rule equiv1 :premises (t14))
% 0.21/0.59  (step t16 (cl (= (= (not (not (>= (* tptp.x tptp.y) 0))) (>= (* tptp.x tptp.y) 0)) (= (>= (* tptp.x tptp.y) 0) (not (not (>= (* tptp.x tptp.y) 0)))))) :rule all_simplify)
% 0.21/0.59  (step t17 (cl (= (>= (* tptp.x tptp.y) 0) (>= (* tptp.x tptp.y) 0))) :rule refl)
% 0.21/0.59  (step t18 (cl (= (not (not (>= (* tptp.x tptp.y) 0))) (>= (* tptp.x tptp.y) 0))) :rule all_simplify)
% 0.21/0.59  (step t19 (cl (= (= (>= (* tptp.x tptp.y) 0) (not (not (>= (* tptp.x tptp.y) 0)))) (= (>= (* tptp.x tptp.y) 0) (>= (* tptp.x tptp.y) 0)))) :rule cong :premises (t17 t18))
% 0.21/0.59  (step t20 (cl (= (= (>= (* tptp.x tptp.y) 0) (>= (* tptp.x tptp.y) 0)) true)) :rule all_simplify)
% 0.21/0.59  (step t21 (cl (= (= (>= (* tptp.x tptp.y) 0) (not (not (>= (* tptp.x tptp.y) 0)))) true)) :rule trans :premises (t19 t20))
% 0.21/0.59  (step t22 (cl (= (= (not (not (>= (* tptp.x tptp.y) 0))) (>= (* tptp.x tptp.y) 0)) true)) :rule trans :premises (t16 t21))
% 0.21/0.59  (step t23 (cl (= (not (not (>= (* tptp.x tptp.y) 0))) (>= (* tptp.x tptp.y) 0))) :rule resolution :premises (t15 t22))
% 0.21/0.59  (step t24 (cl (= (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0)))) (or (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (>= (* tptp.x tptp.y) 0)))) :rule cong :premises (t11 t12 t13 t23))
% 0.21/0.59  (step t25 (cl (not (= (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))))) (not (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))))) :rule equiv_pos2)
% 0.21/0.59  (step t26 (cl (= (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))))) :rule refl)
% 0.21/0.59  (step t27 (cl (= (= (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))))) :rule equiv_simplify)
% 0.21/0.59  (step t28 (cl (= (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false) (not (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))))) :rule equiv2 :premises (t27))
% 0.21/0.59  (step t29 (cl (not (not (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) :rule not_not)
% 0.21/0.59  (step t30 (cl (= (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) :rule resolution :premises (t28 t29))
% 0.21/0.59  (step t31 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) :rule implies_neg1)
% 0.21/0.59  (anchor :step t32)
% 0.21/0.59  (assume t32.a0 (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))
% 0.21/0.59  (assume t32.a1 (>= tptp.y 0))
% 0.21/0.59  (assume t32.a2 (not (>= (* tptp.x tptp.y) 0)))
% 0.21/0.59  (assume t32.a3 (>= tptp.x 0))
% 0.21/0.59  (step t32.t1 (cl (not (= (>= tptp.x 0) (>= tptp.x 0.0))) (not (>= tptp.x 0)) (>= tptp.x 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t32.t2 (cl (= (>= tptp.x 0.0) (>= tptp.x 0))) :rule all_simplify)
% 0.21/0.59  (step t32.t3 (cl (= (>= tptp.x 0) (>= tptp.x 0.0))) :rule symm :premises (t32.t2))
% 0.21/0.59  (step t32.t4 (cl (>= tptp.x 0.0)) :rule resolution :premises (t32.t1 t32.t3 t32.a3))
% 0.21/0.59  (step t32.t5 (cl (not (= (< tptp.x 0.0) (not (>= tptp.x 0.0)))) (not (< tptp.x 0.0)) (not (>= tptp.x 0.0))) :rule equiv_pos2)
% 0.21/0.59  (step t32.t6 (cl (= (< tptp.x 0.0) (not (>= tptp.x 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t32.t7 (cl (= (not (>= tptp.x 0.0)) (not (>= tptp.x 0)))) :rule cong :premises (t32.t2))
% 0.21/0.59  (step t32.t8 (cl (= (< tptp.x 0.0) (not (>= tptp.x 0)))) :rule trans :premises (t32.t6 t32.t7))
% 0.21/0.59  (step t32.t9 (cl (= (not (>= tptp.x 0)) (not (>= tptp.x 0.0)))) :rule symm :premises (t32.t7))
% 0.21/0.59  (step t32.t10 (cl (= (< tptp.x 0.0) (not (>= tptp.x 0.0)))) :rule trans :premises (t32.t8 t32.t9))
% 0.21/0.59  (step t32.t11 (cl (not (= (not (>= tptp.x 0.0)) (< tptp.x 0.0))) (not (not (>= tptp.x 0.0))) (< tptp.x 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t32.t12 (cl (= (not (>= tptp.x 0)) (< tptp.x 0.0))) :rule symm :premises (t32.t8))
% 0.21/0.59  (step t32.t13 (cl (= (not (>= tptp.x 0.0)) (< tptp.x 0.0))) :rule trans :premises (t32.t7 t32.t12))
% 0.21/0.59  (step t32.t14 (cl (=> (>= tptp.x 0.0) false) (>= tptp.x 0.0)) :rule implies_neg1)
% 0.21/0.59  (anchor :step t32.t15)
% 0.21/0.59  (assume t32.t15.a0 (>= tptp.x 0.0))
% 0.21/0.59  (step t32.t15.t1 (cl (not (= (< (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0))) false)) (not (< (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0)))) false) :rule equiv_pos2)
% 0.21/0.59  (step t32.t15.t2 (cl (= (< (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0))) (not (>= (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0)))))) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t3 (cl (= (* (- 1.0) tptp.x) (* (- 1) tptp.x))) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t4 (cl (= (* 1.0 (* tptp.x tptp.y)) (* tptp.x tptp.y))) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t5 (cl (= (* (- 1.0) tptp.y) (* (- 1) tptp.y))) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t6 (cl (= (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t7 (cl (= (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1) tptp.x) (* tptp.x tptp.y) (* (- 1) tptp.y) (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))))) :rule cong :premises (t32.t15.t3 t32.t15.t4 t32.t15.t5 t32.t15.t6))
% 0.21/0.59  (step t32.t15.t8 (cl (= (+ (* (- 1) tptp.x) (* tptp.x tptp.y) (* (- 1) tptp.y) (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t9 (cl (= (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) 0.0)) :rule trans :premises (t32.t15.t7 t32.t15.t8))
% 0.21/0.59  (step t32.t15.t10 (cl (= (* (- 1.0) 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t11 (cl (= (* 1.0 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t12 (cl (= (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0)) (+ 0.0 0.0 0.0 0.0))) :rule cong :premises (t32.t15.t10 t32.t15.t11 t32.t15.t10 t32.t15.t11))
% 0.21/0.59  (step t32.t15.t13 (cl (= (+ 0.0 0.0 0.0 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t14 (cl (= (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0)) 0.0)) :rule trans :premises (t32.t15.t12 t32.t15.t13))
% 0.21/0.59  (step t32.t15.t15 (cl (= (>= (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0))) (>= 0.0 0.0))) :rule cong :premises (t32.t15.t9 t32.t15.t14))
% 0.21/0.59  (step t32.t15.t16 (cl (= (>= 0.0 0.0) true)) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t17 (cl (= (>= (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0))) true)) :rule trans :premises (t32.t15.t15 t32.t15.t16))
% 0.21/0.59  (step t32.t15.t18 (cl (= (not (>= (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0)))) (not true))) :rule cong :premises (t32.t15.t17))
% 0.21/0.59  (step t32.t15.t19 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t20 (cl (= (not (>= (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0)))) false)) :rule trans :premises (t32.t15.t18 t32.t15.t19))
% 0.21/0.59  (step t32.t15.t21 (cl (= (< (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0))) false)) :rule trans :premises (t32.t15.t2 t32.t15.t20))
% 0.21/0.59  (step t32.t15.t22 (cl (not (<= (* (- 1.0) tptp.x) (* (- 1.0) 0.0))) (not (< (* 1.0 (* tptp.x tptp.y)) (* 1.0 0.0))) (not (<= (* (- 1.0) tptp.y) (* (- 1.0) 0.0))) (not (< (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* 1.0 0.0))) (< (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0)))) :rule la_generic :args (1 1 1 1 1))
% 0.21/0.59  (step t32.t15.t23 (cl (=> (and (< (- 1.0) 0) (>= tptp.x 0.0)) (<= (* (- 1.0) tptp.x) (* (- 1.0) 0.0)))) :rule la_mult_neg)
% 0.21/0.59  (step t32.t15.t24 (cl (not (and (< (- 1.0) 0) (>= tptp.x 0.0))) (<= (* (- 1.0) tptp.x) (* (- 1.0) 0.0))) :rule implies :premises (t32.t15.t23))
% 0.21/0.59  (step t32.t15.t25 (cl (and (< (- 1.0) 0) (>= tptp.x 0.0)) (not (< (- 1.0) 0)) (not (>= tptp.x 0.0))) :rule and_neg)
% 0.21/0.59  (step t32.t15.t26 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 0.21/0.59  (step t32.t15.t27 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t32.t15.t26))
% 0.21/0.59  (step t32.t15.t28 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 0.21/0.59  (step t32.t15.t29 (cl (< (- 1.0) 0)) :rule resolution :premises (t32.t15.t27 t32.t15.t28))
% 0.21/0.59  (step t32.t15.t30 (cl (and (< (- 1.0) 0) (>= tptp.x 0.0))) :rule resolution :premises (t32.t15.t25 t32.t15.t29 t32.t15.a0))
% 0.21/0.59  (step t32.t15.t31 (cl (<= (* (- 1.0) tptp.x) (* (- 1.0) 0.0))) :rule resolution :premises (t32.t15.t24 t32.t15.t30))
% 0.21/0.59  (step t32.t15.t32 (cl (=> (and (> 1.0 0) (< (* tptp.x tptp.y) 0.0)) (< (* 1.0 (* tptp.x tptp.y)) (* 1.0 0.0)))) :rule la_mult_pos)
% 0.21/0.59  (step t32.t15.t33 (cl (not (and (> 1.0 0) (< (* tptp.x tptp.y) 0.0))) (< (* 1.0 (* tptp.x tptp.y)) (* 1.0 0.0))) :rule implies :premises (t32.t15.t32))
% 0.21/0.59  (step t32.t15.t34 (cl (and (> 1.0 0) (< (* tptp.x tptp.y) 0.0)) (not (> 1.0 0)) (not (< (* tptp.x tptp.y) 0.0))) :rule and_neg)
% 0.21/0.59  (step t32.t15.t35 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 0.21/0.59  (step t32.t15.t36 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t32.t15.t35))
% 0.21/0.59  (step t32.t15.t37 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 0.21/0.59  (step t32.t15.t38 (cl (> 1.0 0)) :rule resolution :premises (t32.t15.t36 t32.t15.t37))
% 0.21/0.59  (step t32.t15.t39 (cl (not (= (not (>= (* tptp.x tptp.y) 0)) (< (* tptp.x tptp.y) 0.0))) (not (not (>= (* tptp.x tptp.y) 0))) (< (* tptp.x tptp.y) 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t32.t15.t40 (cl (= (< (* tptp.x tptp.y) 0.0) (not (>= (* tptp.x tptp.y) 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t41 (cl (= (>= (* tptp.x tptp.y) 0.0) (>= (* tptp.x tptp.y) 0))) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t42 (cl (= (not (>= (* tptp.x tptp.y) 0.0)) (not (>= (* tptp.x tptp.y) 0)))) :rule cong :premises (t32.t15.t41))
% 0.21/0.59  (step t32.t15.t43 (cl (= (< (* tptp.x tptp.y) 0.0) (not (>= (* tptp.x tptp.y) 0)))) :rule trans :premises (t32.t15.t40 t32.t15.t42))
% 0.21/0.59  (step t32.t15.t44 (cl (= (not (>= (* tptp.x tptp.y) 0)) (< (* tptp.x tptp.y) 0.0))) :rule symm :premises (t32.t15.t43))
% 0.21/0.59  (step t32.t15.t45 (cl (< (* tptp.x tptp.y) 0.0)) :rule resolution :premises (t32.t15.t39 t32.t15.t44 t32.a2))
% 0.21/0.59  (step t32.t15.t46 (cl (and (> 1.0 0) (< (* tptp.x tptp.y) 0.0))) :rule resolution :premises (t32.t15.t34 t32.t15.t38 t32.t15.t45))
% 0.21/0.59  (step t32.t15.t47 (cl (< (* 1.0 (* tptp.x tptp.y)) (* 1.0 0.0))) :rule resolution :premises (t32.t15.t33 t32.t15.t46))
% 0.21/0.59  (step t32.t15.t48 (cl (=> (and (< (- 1.0) 0) (>= tptp.y 0.0)) (<= (* (- 1.0) tptp.y) (* (- 1.0) 0.0)))) :rule la_mult_neg)
% 0.21/0.59  (step t32.t15.t49 (cl (not (and (< (- 1.0) 0) (>= tptp.y 0.0))) (<= (* (- 1.0) tptp.y) (* (- 1.0) 0.0))) :rule implies :premises (t32.t15.t48))
% 0.21/0.59  (step t32.t15.t50 (cl (and (< (- 1.0) 0) (>= tptp.y 0.0)) (not (< (- 1.0) 0)) (not (>= tptp.y 0.0))) :rule and_neg)
% 0.21/0.59  (step t32.t15.t51 (cl (not (= (>= tptp.y 0) (>= tptp.y 0.0))) (not (>= tptp.y 0)) (>= tptp.y 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t32.t15.t52 (cl (= (>= tptp.y 0.0) (>= tptp.y 0))) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t53 (cl (= (>= tptp.y 0) (>= tptp.y 0.0))) :rule symm :premises (t32.t15.t52))
% 0.21/0.59  (step t32.t15.t54 (cl (>= tptp.y 0.0)) :rule resolution :premises (t32.t15.t51 t32.t15.t53 t32.a1))
% 0.21/0.59  (step t32.t15.t55 (cl (and (< (- 1.0) 0) (>= tptp.y 0.0))) :rule resolution :premises (t32.t15.t50 t32.t15.t29 t32.t15.t54))
% 0.21/0.59  (step t32.t15.t56 (cl (<= (* (- 1.0) tptp.y) (* (- 1.0) 0.0))) :rule resolution :premises (t32.t15.t49 t32.t15.t55))
% 0.21/0.59  (step t32.t15.t57 (cl (=> (and (> 1.0 0) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)) (< (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* 1.0 0.0)))) :rule la_mult_pos)
% 0.21/0.59  (step t32.t15.t58 (cl (not (and (> 1.0 0) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0))) (< (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* 1.0 0.0))) :rule implies :premises (t32.t15.t57))
% 0.21/0.59  (step t32.t15.t59 (cl (and (> 1.0 0) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)) (not (> 1.0 0)) (not (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule and_neg)
% 0.21/0.59  (step t32.t15.t60 (cl (not (= (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0))) (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t32.t15.t61 (cl (= (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t62 (cl (= (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule all_simplify)
% 0.21/0.59  (step t32.t15.t63 (cl (= (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) :rule cong :premises (t32.t15.t62))
% 0.21/0.59  (step t32.t15.t64 (cl (= (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) :rule trans :premises (t32.t15.t61 t32.t15.t63))
% 0.21/0.59  (step t32.t15.t65 (cl (= (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule symm :premises (t32.t15.t64))
% 0.21/0.59  (step t32.t15.t66 (cl (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)) :rule resolution :premises (t32.t15.t60 t32.t15.t65 t32.a0))
% 0.21/0.59  (step t32.t15.t67 (cl (and (> 1.0 0) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule resolution :premises (t32.t15.t59 t32.t15.t38 t32.t15.t66))
% 0.21/0.59  (step t32.t15.t68 (cl (< (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* 1.0 0.0))) :rule resolution :premises (t32.t15.t58 t32.t15.t67))
% 0.21/0.59  (step t32.t15.t69 (cl (< (+ (* (- 1.0) tptp.x) (* 1.0 (* tptp.x tptp.y)) (* (- 1.0) tptp.y) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0) (* 1.0 0.0)))) :rule resolution :premises (t32.t15.t22 t32.t15.t31 t32.t15.t47 t32.t15.t56 t32.t15.t68))
% 0.21/0.59  (step t32.t15.t70 (cl false) :rule resolution :premises (t32.t15.t1 t32.t15.t21 t32.t15.t69))
% 0.21/0.59  (step t32.t15 (cl (not (>= tptp.x 0.0)) false) :rule subproof :discharge (t32.t15.a0))
% 0.21/0.59  (step t32.t16 (cl (=> (>= tptp.x 0.0) false) false) :rule resolution :premises (t32.t14 t32.t15))
% 0.21/0.59  (step t32.t17 (cl (=> (>= tptp.x 0.0) false) (not false)) :rule implies_neg2)
% 0.21/0.59  (step t32.t18 (cl (=> (>= tptp.x 0.0) false) (=> (>= tptp.x 0.0) false)) :rule resolution :premises (t32.t16 t32.t17))
% 0.21/0.59  (step t32.t19 (cl (=> (>= tptp.x 0.0) false)) :rule contraction :premises (t32.t18))
% 0.21/0.59  (step t32.t20 (cl (= (=> (>= tptp.x 0.0) false) (not (>= tptp.x 0.0)))) :rule implies_simplify)
% 0.21/0.59  (step t32.t21 (cl (not (=> (>= tptp.x 0.0) false)) (not (>= tptp.x 0.0))) :rule equiv1 :premises (t32.t20))
% 0.21/0.59  (step t32.t22 (cl (not (>= tptp.x 0.0))) :rule resolution :premises (t32.t19 t32.t21))
% 0.21/0.59  (step t32.t23 (cl (< tptp.x 0.0)) :rule resolution :premises (t32.t11 t32.t13 t32.t22))
% 0.21/0.59  (step t32.t24 (cl (not (>= tptp.x 0.0))) :rule resolution :premises (t32.t5 t32.t10 t32.t23))
% 0.21/0.59  (step t32.t25 (cl) :rule resolution :premises (t32.t4 t32.t24))
% 0.21/0.59  (step t32 (cl (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (* tptp.x tptp.y) 0))) (not (>= tptp.x 0)) false) :rule subproof :discharge (t32.a0 t32.a1 t32.a2 t32.a3))
% 0.21/0.59  (step t33 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule and_pos)
% 0.21/0.59  (step t34 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (>= tptp.y 0)) :rule and_pos)
% 0.21/0.59  (step t35 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (>= (* tptp.x tptp.y) 0))) :rule and_pos)
% 0.21/0.59  (step t36 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (>= tptp.x 0)) :rule and_pos)
% 0.21/0.59  (step t37 (cl false (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)))) :rule resolution :premises (t32 t33 t34 t35 t36))
% 0.21/0.59  (step t38 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) false) :rule reordering :premises (t37))
% 0.21/0.59  (step t39 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) false) :rule contraction :premises (t38))
% 0.21/0.59  (step t40 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false) false) :rule resolution :premises (t31 t39))
% 0.21/0.59  (step t41 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false) (not false)) :rule implies_neg2)
% 0.21/0.59  (step t42 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false) (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false)) :rule resolution :premises (t40 t41))
% 0.21/0.59  (step t43 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false)) :rule contraction :premises (t42))
% 0.21/0.59  (step t44 (cl (= (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))))) :rule implies_simplify)
% 0.21/0.59  (step t45 (cl (not (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false)) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)))) :rule equiv1 :premises (t44))
% 0.21/0.59  (step t46 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)))) :rule resolution :premises (t43 t45))
% 0.21/0.59  (step t47 (cl (= (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) false)) :rule resolution :premises (t30 t46))
% 0.21/0.59  (step t48 (cl (= (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) false))) :rule cong :premises (t26 t47))
% 0.21/0.59  (step t49 (cl (= (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) false) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))))) :rule all_simplify)
% 0.21/0.59  (step t50 (cl (= (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))))) :rule trans :premises (t48 t49))
% 0.21/0.59  (step t51 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) :rule implies_neg1)
% 0.21/0.59  (anchor :step t52)
% 0.21/0.59  (assume t52.a0 (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))
% 0.21/0.59  (assume t52.a1 (>= tptp.y 0))
% 0.21/0.59  (assume t52.a2 (>= tptp.x 0))
% 0.21/0.59  (assume t52.a3 (not (>= (* tptp.x tptp.y) 0)))
% 0.21/0.59  (step t52.t1 (cl (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (* tptp.x tptp.y) 0))) (not (>= tptp.x 0))) :rule and_neg)
% 0.21/0.59  (step t52.t2 (cl (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) :rule resolution :premises (t52.t1 t52.a0 t52.a1 t52.a3 t52.a2))
% 0.21/0.59  (step t52 (cl (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) :rule subproof :discharge (t52.a0 t52.a1 t52.a2 t52.a3))
% 0.21/0.59  (step t53 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule and_pos)
% 0.21/0.59  (step t54 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (>= tptp.y 0)) :rule and_pos)
% 0.21/0.59  (step t55 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (>= tptp.x 0)) :rule and_pos)
% 0.21/0.59  (step t56 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (not (>= (* tptp.x tptp.y) 0))) :rule and_pos)
% 0.21/0.59  (step t57 (cl (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))))) :rule resolution :premises (t52 t53 t54 t55 t56))
% 0.21/0.59  (step t58 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) :rule reordering :premises (t57))
% 0.21/0.59  (step t59 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0)))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) :rule contraction :premises (t58))
% 0.21/0.59  (step t60 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) :rule resolution :premises (t51 t59))
% 0.21/0.59  (step t61 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)))) :rule implies_neg2)
% 0.21/0.59  (step t62 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0))) (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)))) :rule resolution :premises (t60 t61))
% 0.21/0.59  (step t63 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (* tptp.x tptp.y) 0)) (>= tptp.x 0)))) :rule contraction :premises (t62))
% 0.21/0.59  (step t64 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (>= tptp.x 0) (not (>= (* tptp.x tptp.y) 0))))) :rule resolution :premises (t25 t50 t63))
% 0.21/0.59  (step t65 (cl (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0)))) :rule not_and :premises (t64))
% 0.21/0.59  (step t66 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0)))) (not (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))))) :rule or_neg)
% 0.21/0.59  (step t67 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0)))) (not (not (>= tptp.y 0)))) :rule or_neg)
% 0.21/0.59  (step t68 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0)))) (not (not (>= tptp.x 0)))) :rule or_neg)
% 0.21/0.59  (step t69 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0)))) (not (not (not (>= (* tptp.x tptp.y) 0))))) :rule or_neg)
% 0.21/0.59  (step t70 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0)))) (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0)))) (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0)))) (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0))))) :rule resolution :premises (t65 t66 t67 t68 t69))
% 0.21/0.59  (step t71 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (not (not (>= (* tptp.x tptp.y) 0))))) :rule contraction :premises (t70))
% 0.21/0.59  (step t72 (cl (or (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (>= (* tptp.x tptp.y) 0))) :rule resolution :premises (t1 t24 t71))
% 0.21/0.59  (step t73 (cl (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (>= tptp.y 0)) (not (>= tptp.x 0)) (>= (* tptp.x tptp.y) 0)) :rule or :premises (t72))
% 0.21/0.59  (step t74 (cl (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (>= (* tptp.x tptp.y) 0) (not (>= tptp.y 0)) (not (>= tptp.x 0))) :rule reordering :premises (t73))
% 0.21/0.59  (step t75 (cl (not (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0)))) (not (>= (* tptp.x tptp.y) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule ite_pos2)
% 0.21/0.59  (step t76 (cl (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (* tptp.x tptp.y) 0)) (not (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))))) :rule reordering :premises (t75))
% 0.21/0.59  (step t77 (cl (not (= (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (or (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (>= tptp.y 0)) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) (or (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (>= tptp.y 0)) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule equiv_pos2)
% 0.21/0.59  (step t78 (cl (= (= (= (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) true) (= (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule equiv_simplify)
% 0.21/0.59  (step t79 (cl (not (= (= (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) true)) (= (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule equiv1 :premises (t78))
% 0.21/0.59  (step t80 (cl (= (= (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (= (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))))) :rule all_simplify)
% 0.21/0.59  (step t81 (cl (= (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule refl)
% 0.21/0.59  (step t82 (cl (= (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule all_simplify)
% 0.21/0.59  (step t83 (cl (= (= (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (= (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule cong :premises (t81 t82))
% 0.21/0.59  (step t84 (cl (= (= (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) true)) :rule all_simplify)
% 0.21/0.59  (step t85 (cl (= (= (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) true)) :rule trans :premises (t83 t84))
% 0.21/0.59  (step t86 (cl (= (= (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) true)) :rule trans :premises (t80 t85))
% 0.21/0.59  (step t87 (cl (= (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule resolution :premises (t79 t86))
% 0.21/0.59  (step t88 (cl (= (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (or (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (>= tptp.y 0)) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule cong :premises (t11 t12 t87))
% 0.21/0.59  (step t89 (cl (not (= (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))))) (not (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule equiv_pos2)
% 0.21/0.59  (step t90 (cl (= (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule refl)
% 0.21/0.59  (step t91 (cl (= (= (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false) (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))))) :rule equiv_simplify)
% 0.21/0.59  (step t92 (cl (= (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false) (not (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))))) :rule equiv2 :premises (t91))
% 0.21/0.59  (step t93 (cl (not (not (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule not_not)
% 0.21/0.59  (step t94 (cl (= (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule resolution :premises (t92 t93))
% 0.21/0.59  (step t95 (cl (=> (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule implies_neg1)
% 0.21/0.59  (anchor :step t96)
% 0.21/0.59  (assume t96.a0 (>= tptp.y 0))
% 0.21/0.59  (assume t96.a1 (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))
% 0.21/0.59  (assume t96.a2 (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))
% 0.21/0.59  (step t96.t1 (cl (not (= (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t96.t2 (cl (= (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) (not (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t96.t3 (cl (= (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule all_simplify)
% 0.21/0.59  (step t96.t4 (cl (= (not (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule cong :premises (t96.t3))
% 0.21/0.59  (step t96.t5 (cl (= (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule trans :premises (t96.t2 t96.t4))
% 0.21/0.59  (step t96.t6 (cl (= (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule symm :premises (t96.t5))
% 0.21/0.59  (step t96.t7 (cl (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) :rule resolution :premises (t96.t1 t96.t6 t96.a2))
% 0.21/0.59  (step t96.t8 (cl (not (= (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)))) (not (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule equiv_pos2)
% 0.21/0.59  (step t96.t9 (cl (= (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule cong :premises (t96.t5))
% 0.21/0.59  (step t96.t10 (cl (= (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule trans :premises (t96.t9 t82))
% 0.21/0.59  (step t96.t11 (cl (= (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0) (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)))) :rule symm :premises (t96.t10))
% 0.21/0.59  (step t96.t12 (cl (= (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)))) :rule trans :premises (t96.t3 t96.t11))
% 0.21/0.59  (step t96.t13 (cl (not (= (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) (not (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t96.t14 (cl (= (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0) (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule symm :premises (t96.t3))
% 0.21/0.59  (step t96.t15 (cl (= (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule trans :premises (t96.t10 t96.t14))
% 0.21/0.59  (step t96.t16 (cl (=> (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) false) (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) :rule implies_neg1)
% 0.21/0.59  (anchor :step t96.t17)
% 0.21/0.59  (assume t96.t17.a0 (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))
% 0.21/0.59  (step t96.t17.t1 (cl (not (= (< (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0))) false)) (not (< (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0)))) false) :rule equiv_pos2)
% 0.21/0.59  (step t96.t17.t2 (cl (= (< (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0))) (not (>= (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0)))))) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t3 (cl (= (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (+ (* (- 1) tptp.x) (* tptp.x tptp.y)))) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t4 (cl (= (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))))) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t5 (cl (= (* (- 1.0) tptp.y) (* (- 1) tptp.y))) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t6 (cl (= (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) (* (- 1) tptp.y)))) :rule cong :premises (t96.t17.t3 t96.t17.t4 t96.t17.t5))
% 0.21/0.59  (step t96.t17.t7 (cl (= (+ (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) (* (- 1) tptp.y)) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t8 (cl (= (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) 0.0)) :rule trans :premises (t96.t17.t6 t96.t17.t7))
% 0.21/0.59  (step t96.t17.t9 (cl (= (* (- 1.0) 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t10 (cl (= (* 1.0 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t11 (cl (= (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0)) (+ 0.0 0.0 0.0))) :rule cong :premises (t96.t17.t9 t96.t17.t10 t96.t17.t9))
% 0.21/0.59  (step t96.t17.t12 (cl (= (+ 0.0 0.0 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t13 (cl (= (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0)) 0.0)) :rule trans :premises (t96.t17.t11 t96.t17.t12))
% 0.21/0.59  (step t96.t17.t14 (cl (= (>= (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0))) (>= 0.0 0.0))) :rule cong :premises (t96.t17.t8 t96.t17.t13))
% 0.21/0.59  (step t96.t17.t15 (cl (= (>= 0.0 0.0) true)) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t16 (cl (= (>= (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0))) true)) :rule trans :premises (t96.t17.t14 t96.t17.t15))
% 0.21/0.59  (step t96.t17.t17 (cl (= (not (>= (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0)))) (not true))) :rule cong :premises (t96.t17.t16))
% 0.21/0.59  (step t96.t17.t18 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t19 (cl (= (not (>= (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0)))) false)) :rule trans :premises (t96.t17.t17 t96.t17.t18))
% 0.21/0.59  (step t96.t17.t20 (cl (= (< (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0))) false)) :rule trans :premises (t96.t17.t2 t96.t17.t19))
% 0.21/0.59  (step t96.t17.t21 (cl (not (< (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) 0.0))) (not (< (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* 1.0 0.0))) (not (<= (* (- 1.0) tptp.y) (* (- 1.0) 0.0))) (< (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0)))) :rule la_generic :args (1 1 1 1))
% 0.21/0.59  (step t96.t17.t22 (cl (=> (and (< (- 1.0) 0) (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) (< (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) 0.0)))) :rule la_mult_neg)
% 0.21/0.59  (step t96.t17.t23 (cl (not (and (< (- 1.0) 0) (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) (< (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) 0.0))) :rule implies :premises (t96.t17.t22))
% 0.21/0.59  (step t96.t17.t24 (cl (and (< (- 1.0) 0) (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) (not (< (- 1.0) 0)) (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule and_neg)
% 0.21/0.59  (step t96.t17.t25 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 0.21/0.59  (step t96.t17.t26 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t96.t17.t25))
% 0.21/0.59  (step t96.t17.t27 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 0.21/0.59  (step t96.t17.t28 (cl (< (- 1.0) 0)) :rule resolution :premises (t96.t17.t26 t96.t17.t27))
% 0.21/0.59  (step t96.t17.t29 (cl (and (< (- 1.0) 0) (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule resolution :premises (t96.t17.t24 t96.t17.t28 t96.t17.a0))
% 0.21/0.59  (step t96.t17.t30 (cl (< (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) 0.0))) :rule resolution :premises (t96.t17.t23 t96.t17.t29))
% 0.21/0.59  (step t96.t17.t31 (cl (=> (and (> 1.0 0) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)) (< (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* 1.0 0.0)))) :rule la_mult_pos)
% 0.21/0.59  (step t96.t17.t32 (cl (not (and (> 1.0 0) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0))) (< (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* 1.0 0.0))) :rule implies :premises (t96.t17.t31))
% 0.21/0.59  (step t96.t17.t33 (cl (and (> 1.0 0) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)) (not (> 1.0 0)) (not (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule and_neg)
% 0.21/0.59  (step t96.t17.t34 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 0.21/0.59  (step t96.t17.t35 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t96.t17.t34))
% 0.21/0.59  (step t96.t17.t36 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 0.21/0.59  (step t96.t17.t37 (cl (> 1.0 0)) :rule resolution :premises (t96.t17.t35 t96.t17.t36))
% 0.21/0.59  (step t96.t17.t38 (cl (not (= (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0))) (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t96.t17.t39 (cl (= (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t40 (cl (= (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t41 (cl (= (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) :rule cong :premises (t96.t17.t40))
% 0.21/0.59  (step t96.t17.t42 (cl (= (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) :rule trans :premises (t96.t17.t39 t96.t17.t41))
% 0.21/0.59  (step t96.t17.t43 (cl (= (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule symm :premises (t96.t17.t42))
% 0.21/0.59  (step t96.t17.t44 (cl (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0)) :rule resolution :premises (t96.t17.t38 t96.t17.t43 t96.a1))
% 0.21/0.59  (step t96.t17.t45 (cl (and (> 1.0 0) (< (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule resolution :premises (t96.t17.t33 t96.t17.t37 t96.t17.t44))
% 0.21/0.59  (step t96.t17.t46 (cl (< (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* 1.0 0.0))) :rule resolution :premises (t96.t17.t32 t96.t17.t45))
% 0.21/0.59  (step t96.t17.t47 (cl (=> (and (< (- 1.0) 0) (>= tptp.y 0.0)) (<= (* (- 1.0) tptp.y) (* (- 1.0) 0.0)))) :rule la_mult_neg)
% 0.21/0.59  (step t96.t17.t48 (cl (not (and (< (- 1.0) 0) (>= tptp.y 0.0))) (<= (* (- 1.0) tptp.y) (* (- 1.0) 0.0))) :rule implies :premises (t96.t17.t47))
% 0.21/0.59  (step t96.t17.t49 (cl (and (< (- 1.0) 0) (>= tptp.y 0.0)) (not (< (- 1.0) 0)) (not (>= tptp.y 0.0))) :rule and_neg)
% 0.21/0.59  (step t96.t17.t50 (cl (not (= (>= tptp.y 0) (>= tptp.y 0.0))) (not (>= tptp.y 0)) (>= tptp.y 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t96.t17.t51 (cl (= (>= tptp.y 0.0) (>= tptp.y 0))) :rule all_simplify)
% 0.21/0.59  (step t96.t17.t52 (cl (= (>= tptp.y 0) (>= tptp.y 0.0))) :rule symm :premises (t96.t17.t51))
% 0.21/0.59  (step t96.t17.t53 (cl (>= tptp.y 0.0)) :rule resolution :premises (t96.t17.t50 t96.t17.t52 t96.a0))
% 0.21/0.59  (step t96.t17.t54 (cl (and (< (- 1.0) 0) (>= tptp.y 0.0))) :rule resolution :premises (t96.t17.t49 t96.t17.t28 t96.t17.t53))
% 0.21/0.59  (step t96.t17.t55 (cl (<= (* (- 1.0) tptp.y) (* (- 1.0) 0.0))) :rule resolution :premises (t96.t17.t48 t96.t17.t54))
% 0.21/0.59  (step t96.t17.t56 (cl (< (+ (* (- 1.0) (+ tptp.x (* (- 1) (* tptp.x tptp.y)))) (* 1.0 (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y)))) (* (- 1.0) tptp.y)) (+ (* (- 1.0) 0.0) (* 1.0 0.0) (* (- 1.0) 0.0)))) :rule resolution :premises (t96.t17.t21 t96.t17.t30 t96.t17.t46 t96.t17.t55))
% 0.21/0.59  (step t96.t17.t57 (cl false) :rule resolution :premises (t96.t17.t1 t96.t17.t20 t96.t17.t56))
% 0.21/0.59  (step t96.t17 (cl (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) false) :rule subproof :discharge (t96.t17.a0))
% 0.21/0.59  (step t96.t18 (cl (=> (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) false) false) :rule resolution :premises (t96.t16 t96.t17))
% 0.21/0.59  (step t96.t19 (cl (=> (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) false) (not false)) :rule implies_neg2)
% 0.21/0.59  (step t96.t20 (cl (=> (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) false) (=> (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) false)) :rule resolution :premises (t96.t18 t96.t19))
% 0.21/0.59  (step t96.t21 (cl (=> (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) false)) :rule contraction :premises (t96.t20))
% 0.21/0.59  (step t96.t22 (cl (= (=> (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) false) (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)))) :rule implies_simplify)
% 0.21/0.59  (step t96.t23 (cl (not (=> (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0) false)) (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule equiv1 :premises (t96.t22))
% 0.21/0.59  (step t96.t24 (cl (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule resolution :premises (t96.t21 t96.t23))
% 0.21/0.59  (step t96.t25 (cl (<= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0)) :rule resolution :premises (t96.t13 t96.t15 t96.t24))
% 0.21/0.59  (step t96.t26 (cl (not (> (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0.0))) :rule resolution :premises (t96.t8 t96.t12 t96.t25))
% 0.21/0.59  (step t96.t27 (cl) :rule resolution :premises (t96.t7 t96.t26))
% 0.21/0.59  (step t96 (cl (not (>= tptp.y 0)) (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false) :rule subproof :discharge (t96.a0 t96.a1 t96.a2))
% 0.21/0.59  (step t97 (cl (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (>= tptp.y 0)) :rule and_pos)
% 0.21/0.59  (step t98 (cl (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule and_pos)
% 0.21/0.59  (step t99 (cl (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule and_pos)
% 0.21/0.59  (step t100 (cl false (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule resolution :premises (t96 t97 t98 t99))
% 0.21/0.59  (step t101 (cl (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) false) :rule reordering :premises (t100))
% 0.21/0.59  (step t102 (cl (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) false) :rule contraction :premises (t101))
% 0.21/0.59  (step t103 (cl (=> (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false) false) :rule resolution :premises (t95 t102))
% 0.21/0.59  (step t104 (cl (=> (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false) (not false)) :rule implies_neg2)
% 0.21/0.59  (step t105 (cl (=> (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false) (=> (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false)) :rule resolution :premises (t103 t104))
% 0.21/0.59  (step t106 (cl (=> (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false)) :rule contraction :premises (t105))
% 0.21/0.59  (step t107 (cl (= (=> (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false) (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))))) :rule implies_simplify)
% 0.21/0.59  (step t108 (cl (not (=> (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false)) (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule equiv1 :premises (t107))
% 0.21/0.59  (step t109 (cl (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule resolution :premises (t106 t108))
% 0.21/0.59  (step t110 (cl (= (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false)) :rule resolution :premises (t94 t109))
% 0.21/0.59  (step t111 (cl (= (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false))) :rule cong :premises (t90 t110))
% 0.21/0.59  (step t112 (cl (= (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) false) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))))) :rule all_simplify)
% 0.21/0.59  (step t113 (cl (= (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))))) :rule trans :premises (t111 t112))
% 0.21/0.59  (step t114 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule implies_neg1)
% 0.21/0.59  (anchor :step t115)
% 0.21/0.59  (assume t115.a0 (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))
% 0.21/0.59  (assume t115.a1 (>= tptp.y 0))
% 0.21/0.59  (assume t115.a2 (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))
% 0.21/0.59  (step t115.t1 (cl (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (not (>= tptp.y 0)) (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule and_neg)
% 0.21/0.59  (step t115.t2 (cl (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule resolution :premises (t115.t1 t115.a1 t115.a0 t115.a2))
% 0.21/0.59  (step t115 (cl (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule subproof :discharge (t115.a0 t115.a1 t115.a2))
% 0.21/0.59  (step t116 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule and_pos)
% 0.21/0.59  (step t117 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (>= tptp.y 0)) :rule and_pos)
% 0.21/0.59  (step t118 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule and_pos)
% 0.21/0.59  (step t119 (cl (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule resolution :premises (t115 t116 t117 t118))
% 0.21/0.59  (step t120 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule reordering :premises (t119))
% 0.21/0.59  (step t121 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule contraction :premises (t120))
% 0.21/0.59  (step t122 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule resolution :premises (t114 t121))
% 0.21/0.59  (step t123 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule implies_neg2)
% 0.21/0.59  (step t124 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule resolution :premises (t122 t123))
% 0.21/0.59  (step t125 (cl (=> (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) (and (>= tptp.y 0) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule contraction :premises (t124))
% 0.21/0.59  (step t126 (cl (not (and (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)) (>= tptp.y 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule resolution :premises (t89 t113 t125))
% 0.21/0.59  (step t127 (cl (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule not_and :premises (t126))
% 0.21/0.59  (step t128 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))))) :rule or_neg)
% 0.21/0.59  (step t129 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (not (>= tptp.y 0)))) :rule or_neg)
% 0.21/0.59  (step t130 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (not (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule or_neg)
% 0.21/0.59  (step t131 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule resolution :premises (t127 t128 t129 t130))
% 0.21/0.59  (step t132 (cl (or (not (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.y 0)) (not (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))))) :rule contraction :premises (t131))
% 0.21/0.59  (step t133 (cl (or (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (>= tptp.y 0)) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule resolution :premises (t77 t88 t132))
% 0.21/0.59  (step t134 (cl (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (not (>= tptp.y 0)) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) :rule or :premises (t133))
% 0.21/0.59  (step t135 (cl (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0) (not (>= tptp.y 0))) :rule reordering :premises (t134))
% 0.21/0.59  (step t136 (cl (not (= (> (* tptp.x tptp.y) (+ tptp.x tptp.y)) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) (not (> (* tptp.x tptp.y) (+ tptp.x tptp.y))) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule equiv_pos2)
% 0.21/0.59  (step t137 (cl (= (> (* tptp.x tptp.y) (+ tptp.x tptp.y)) (not (<= (* tptp.x tptp.y) (+ tptp.x tptp.y))))) :rule all_simplify)
% 0.21/0.59  (step t138 (cl (= (* tptp.x tptp.y) (* tptp.x tptp.y))) :rule all_simplify)
% 0.21/0.59  (step t139 (cl (= (+ tptp.x tptp.y) (+ tptp.x tptp.y))) :rule refl)
% 0.21/0.59  (step t140 (cl (= (<= (* tptp.x tptp.y) (+ tptp.x tptp.y)) (<= (* tptp.x tptp.y) (+ tptp.x tptp.y)))) :rule cong :premises (t138 t139))
% 0.21/0.59  (step t141 (cl (= (<= (* tptp.x tptp.y) (+ tptp.x tptp.y)) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule all_simplify)
% 0.21/0.59  (step t142 (cl (= (<= (* tptp.x tptp.y) (+ tptp.x tptp.y)) (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule trans :premises (t140 t141))
% 0.21/0.59  (step t143 (cl (= (not (<= (* tptp.x tptp.y) (+ tptp.x tptp.y))) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) :rule cong :premises (t142))
% 0.21/0.59  (step t144 (cl (= (> (* tptp.x tptp.y) (+ tptp.x tptp.y)) (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0)))) :rule trans :premises (t137 t143))
% 0.21/0.59  (step t145 (cl (not (>= (+ tptp.x tptp.y (* (- 1) (* tptp.x tptp.y))) 0))) :rule resolution :premises (t136 t144 a3))
% 0.21/0.59  (step t146 (cl (not (= (or (not (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0)))) (or (>= (* (- 1) tptp.y) 0) (>= tptp.y 0)))) (not (or (not (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0))))) (or (>= (* (- 1) tptp.y) 0) (>= tptp.y 0))) :rule equiv_pos2)
% 0.21/0.59  (step t147 (cl (= (= (= (not (not (>= (* (- 1) tptp.y) 0))) (>= (* (- 1) tptp.y) 0)) true) (= (not (not (>= (* (- 1) tptp.y) 0))) (>= (* (- 1) tptp.y) 0)))) :rule equiv_simplify)
% 0.21/0.59  (step t148 (cl (not (= (= (not (not (>= (* (- 1) tptp.y) 0))) (>= (* (- 1) tptp.y) 0)) true)) (= (not (not (>= (* (- 1) tptp.y) 0))) (>= (* (- 1) tptp.y) 0))) :rule equiv1 :premises (t147))
% 0.21/0.59  (step t149 (cl (= (= (not (not (>= (* (- 1) tptp.y) 0))) (>= (* (- 1) tptp.y) 0)) (= (>= (* (- 1) tptp.y) 0) (not (not (>= (* (- 1) tptp.y) 0)))))) :rule all_simplify)
% 0.21/0.59  (step t150 (cl (= (>= (* (- 1) tptp.y) 0) (>= (* (- 1) tptp.y) 0))) :rule refl)
% 0.21/0.59  (step t151 (cl (= (not (not (>= (* (- 1) tptp.y) 0))) (>= (* (- 1) tptp.y) 0))) :rule all_simplify)
% 0.21/0.59  (step t152 (cl (= (= (>= (* (- 1) tptp.y) 0) (not (not (>= (* (- 1) tptp.y) 0)))) (= (>= (* (- 1) tptp.y) 0) (>= (* (- 1) tptp.y) 0)))) :rule cong :premises (t150 t151))
% 0.21/0.59  (step t153 (cl (= (= (>= (* (- 1) tptp.y) 0) (>= (* (- 1) tptp.y) 0)) true)) :rule all_simplify)
% 0.21/0.59  (step t154 (cl (= (= (>= (* (- 1) tptp.y) 0) (not (not (>= (* (- 1) tptp.y) 0)))) true)) :rule trans :premises (t152 t153))
% 0.21/0.59  (step t155 (cl (= (= (not (not (>= (* (- 1) tptp.y) 0))) (>= (* (- 1) tptp.y) 0)) true)) :rule trans :premises (t149 t154))
% 0.21/0.59  (step t156 (cl (= (not (not (>= (* (- 1) tptp.y) 0))) (>= (* (- 1) tptp.y) 0))) :rule resolution :premises (t148 t155))
% 0.21/0.59  (step t157 (cl (= (= (= (not (not (>= tptp.y 0))) (>= tptp.y 0)) true) (= (not (not (>= tptp.y 0))) (>= tptp.y 0)))) :rule equiv_simplify)
% 0.21/0.59  (step t158 (cl (not (= (= (not (not (>= tptp.y 0))) (>= tptp.y 0)) true)) (= (not (not (>= tptp.y 0))) (>= tptp.y 0))) :rule equiv1 :premises (t157))
% 0.21/0.59  (step t159 (cl (= (= (not (not (>= tptp.y 0))) (>= tptp.y 0)) (= (>= tptp.y 0) (not (not (>= tptp.y 0)))))) :rule all_simplify)
% 0.21/0.59  (step t160 (cl (= (>= tptp.y 0) (>= tptp.y 0))) :rule refl)
% 0.21/0.59  (step t161 (cl (= (not (not (>= tptp.y 0))) (>= tptp.y 0))) :rule all_simplify)
% 0.21/0.59  (step t162 (cl (= (= (>= tptp.y 0) (not (not (>= tptp.y 0)))) (= (>= tptp.y 0) (>= tptp.y 0)))) :rule cong :premises (t160 t161))
% 0.21/0.59  (step t163 (cl (= (= (>= tptp.y 0) (>= tptp.y 0)) true)) :rule all_simplify)
% 0.21/0.59  (step t164 (cl (= (= (>= tptp.y 0) (not (not (>= tptp.y 0)))) true)) :rule trans :premises (t162 t163))
% 0.21/0.59  (step t165 (cl (= (= (not (not (>= tptp.y 0))) (>= tptp.y 0)) true)) :rule trans :premises (t159 t164))
% 0.21/0.59  (step t166 (cl (= (not (not (>= tptp.y 0))) (>= tptp.y 0))) :rule resolution :premises (t158 t165))
% 0.21/0.59  (step t167 (cl (= (or (not (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0)))) (or (>= (* (- 1) tptp.y) 0) (>= tptp.y 0)))) :rule cong :premises (t156 t166))
% 0.21/0.59  (step t168 (cl (not (= (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0)))))) (not (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))))) (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))))) :rule equiv_pos2)
% 0.21/0.59  (step t169 (cl (= (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))))) :rule refl)
% 0.21/0.59  (step t170 (cl (= (= (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false) (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))))) :rule equiv_simplify)
% 0.21/0.59  (step t171 (cl (= (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false) (not (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))))) :rule equiv2 :premises (t170))
% 0.21/0.59  (step t172 (cl (not (not (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) :rule not_not)
% 0.21/0.59  (step t173 (cl (= (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) :rule resolution :premises (t171 t172))
% 0.21/0.59  (step t174 (cl (=> (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) :rule implies_neg1)
% 0.21/0.59  (anchor :step t175)
% 0.21/0.59  (assume t175.a0 (not (>= tptp.y 0)))
% 0.21/0.59  (assume t175.a1 (not (>= (* (- 1) tptp.y) 0)))
% 0.21/0.59  (step t175.t1 (cl (not (= (not (< tptp.y 0.0)) (>= tptp.y 0.0))) (not (not (< tptp.y 0.0))) (>= tptp.y 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t175.t2 (cl (= (< tptp.y 0.0) (not (>= tptp.y 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t175.t3 (cl (= (>= tptp.y 0.0) (>= tptp.y 0))) :rule all_simplify)
% 0.21/0.59  (step t175.t4 (cl (= (not (>= tptp.y 0.0)) (not (>= tptp.y 0)))) :rule cong :premises (t175.t3))
% 0.21/0.59  (step t175.t5 (cl (= (< tptp.y 0.0) (not (>= tptp.y 0)))) :rule trans :premises (t175.t2 t175.t4))
% 0.21/0.59  (step t175.t6 (cl (= (not (< tptp.y 0.0)) (not (not (>= tptp.y 0))))) :rule cong :premises (t175.t5))
% 0.21/0.59  (step t175.t7 (cl (= (not (< tptp.y 0.0)) (>= tptp.y 0))) :rule trans :premises (t175.t6 t161))
% 0.21/0.59  (step t175.t8 (cl (= (>= tptp.y 0) (>= tptp.y 0.0))) :rule symm :premises (t175.t3))
% 0.21/0.59  (step t175.t9 (cl (= (not (< tptp.y 0.0)) (>= tptp.y 0.0))) :rule trans :premises (t175.t7 t175.t8))
% 0.21/0.59  (step t175.t10 (cl (=> (< tptp.y 0.0) false) (< tptp.y 0.0)) :rule implies_neg1)
% 0.21/0.59  (anchor :step t175.t11)
% 0.21/0.59  (assume t175.t11.a0 (< tptp.y 0.0))
% 0.21/0.59  (step t175.t11.t1 (cl (not (= (< (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) false)) (not (< (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) false) :rule equiv_pos2)
% 0.21/0.59  (step t175.t11.t2 (cl (= (< (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) (not (>= (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))))) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t3 (cl (= (* 1.0 tptp.y) tptp.y)) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t4 (cl (= (* (- 1.0) tptp.y) (* (- 1) tptp.y))) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t5 (cl (= (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ tptp.y (* (- 1) tptp.y)))) :rule cong :premises (t175.t11.t3 t175.t11.t4))
% 0.21/0.59  (step t175.t11.t6 (cl (= (+ tptp.y (* (- 1) tptp.y)) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t7 (cl (= (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) 0.0)) :rule trans :premises (t175.t11.t5 t175.t11.t6))
% 0.21/0.59  (step t175.t11.t8 (cl (= (* 1.0 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t9 (cl (= (* (- 1.0) 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t10 (cl (= (+ (* 1.0 0.0) (* (- 1.0) 0.0)) (+ 0.0 0.0))) :rule cong :premises (t175.t11.t8 t175.t11.t9))
% 0.21/0.59  (step t175.t11.t11 (cl (= (+ 0.0 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t12 (cl (= (+ (* 1.0 0.0) (* (- 1.0) 0.0)) 0.0)) :rule trans :premises (t175.t11.t10 t175.t11.t11))
% 0.21/0.59  (step t175.t11.t13 (cl (= (>= (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) (>= 0.0 0.0))) :rule cong :premises (t175.t11.t7 t175.t11.t12))
% 0.21/0.59  (step t175.t11.t14 (cl (= (>= 0.0 0.0) true)) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t15 (cl (= (>= (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) true)) :rule trans :premises (t175.t11.t13 t175.t11.t14))
% 0.21/0.59  (step t175.t11.t16 (cl (= (not (>= (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) (not true))) :rule cong :premises (t175.t11.t15))
% 0.21/0.59  (step t175.t11.t17 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t18 (cl (= (not (>= (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) false)) :rule trans :premises (t175.t11.t16 t175.t11.t17))
% 0.21/0.59  (step t175.t11.t19 (cl (= (< (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) false)) :rule trans :premises (t175.t11.t2 t175.t11.t18))
% 0.21/0.59  (step t175.t11.t20 (cl (not (< (* 1.0 tptp.y) (* 1.0 0.0))) (not (< (* (- 1.0) tptp.y) (* (- 1.0) 0.0))) (< (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) :rule la_generic :args (1 1 1))
% 0.21/0.59  (step t175.t11.t21 (cl (=> (and (> 1.0 0) (< tptp.y 0.0)) (< (* 1.0 tptp.y) (* 1.0 0.0)))) :rule la_mult_pos)
% 0.21/0.59  (step t175.t11.t22 (cl (not (and (> 1.0 0) (< tptp.y 0.0))) (< (* 1.0 tptp.y) (* 1.0 0.0))) :rule implies :premises (t175.t11.t21))
% 0.21/0.59  (step t175.t11.t23 (cl (and (> 1.0 0) (< tptp.y 0.0)) (not (> 1.0 0)) (not (< tptp.y 0.0))) :rule and_neg)
% 0.21/0.59  (step t175.t11.t24 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 0.21/0.59  (step t175.t11.t25 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t175.t11.t24))
% 0.21/0.59  (step t175.t11.t26 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 0.21/0.59  (step t175.t11.t27 (cl (> 1.0 0)) :rule resolution :premises (t175.t11.t25 t175.t11.t26))
% 0.21/0.59  (step t175.t11.t28 (cl (and (> 1.0 0) (< tptp.y 0.0))) :rule resolution :premises (t175.t11.t23 t175.t11.t27 t175.t11.a0))
% 0.21/0.59  (step t175.t11.t29 (cl (< (* 1.0 tptp.y) (* 1.0 0.0))) :rule resolution :premises (t175.t11.t22 t175.t11.t28))
% 0.21/0.59  (step t175.t11.t30 (cl (=> (and (< (- 1.0) 0) (> tptp.y 0.0)) (< (* (- 1.0) tptp.y) (* (- 1.0) 0.0)))) :rule la_mult_neg)
% 0.21/0.59  (step t175.t11.t31 (cl (not (and (< (- 1.0) 0) (> tptp.y 0.0))) (< (* (- 1.0) tptp.y) (* (- 1.0) 0.0))) :rule implies :premises (t175.t11.t30))
% 0.21/0.59  (step t175.t11.t32 (cl (and (< (- 1.0) 0) (> tptp.y 0.0)) (not (< (- 1.0) 0)) (not (> tptp.y 0.0))) :rule and_neg)
% 0.21/0.59  (step t175.t11.t33 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 0.21/0.59  (step t175.t11.t34 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t175.t11.t33))
% 0.21/0.59  (step t175.t11.t35 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 0.21/0.59  (step t175.t11.t36 (cl (< (- 1.0) 0)) :rule resolution :premises (t175.t11.t34 t175.t11.t35))
% 0.21/0.59  (step t175.t11.t37 (cl (not (= (not (>= (* (- 1) tptp.y) 0)) (> tptp.y 0.0))) (not (not (>= (* (- 1) tptp.y) 0))) (> tptp.y 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t175.t11.t38 (cl (= (> tptp.y 0.0) (not (<= tptp.y 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t39 (cl (= (<= tptp.y 0.0) (>= (* (- 1) tptp.y) 0))) :rule all_simplify)
% 0.21/0.59  (step t175.t11.t40 (cl (= (not (<= tptp.y 0.0)) (not (>= (* (- 1) tptp.y) 0)))) :rule cong :premises (t175.t11.t39))
% 0.21/0.59  (step t175.t11.t41 (cl (= (> tptp.y 0.0) (not (>= (* (- 1) tptp.y) 0)))) :rule trans :premises (t175.t11.t38 t175.t11.t40))
% 0.21/0.59  (step t175.t11.t42 (cl (= (not (>= (* (- 1) tptp.y) 0)) (> tptp.y 0.0))) :rule symm :premises (t175.t11.t41))
% 0.21/0.59  (step t175.t11.t43 (cl (> tptp.y 0.0)) :rule resolution :premises (t175.t11.t37 t175.t11.t42 t175.a1))
% 0.21/0.59  (step t175.t11.t44 (cl (and (< (- 1.0) 0) (> tptp.y 0.0))) :rule resolution :premises (t175.t11.t32 t175.t11.t36 t175.t11.t43))
% 0.21/0.59  (step t175.t11.t45 (cl (< (* (- 1.0) tptp.y) (* (- 1.0) 0.0))) :rule resolution :premises (t175.t11.t31 t175.t11.t44))
% 0.21/0.59  (step t175.t11.t46 (cl (< (+ (* 1.0 tptp.y) (* (- 1.0) tptp.y)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) :rule resolution :premises (t175.t11.t20 t175.t11.t29 t175.t11.t45))
% 0.21/0.59  (step t175.t11.t47 (cl false) :rule resolution :premises (t175.t11.t1 t175.t11.t19 t175.t11.t46))
% 0.21/0.59  (step t175.t11 (cl (not (< tptp.y 0.0)) false) :rule subproof :discharge (t175.t11.a0))
% 0.21/0.59  (step t175.t12 (cl (=> (< tptp.y 0.0) false) false) :rule resolution :premises (t175.t10 t175.t11))
% 0.21/0.59  (step t175.t13 (cl (=> (< tptp.y 0.0) false) (not false)) :rule implies_neg2)
% 0.21/0.59  (step t175.t14 (cl (=> (< tptp.y 0.0) false) (=> (< tptp.y 0.0) false)) :rule resolution :premises (t175.t12 t175.t13))
% 0.21/0.59  (step t175.t15 (cl (=> (< tptp.y 0.0) false)) :rule contraction :premises (t175.t14))
% 0.21/0.59  (step t175.t16 (cl (= (=> (< tptp.y 0.0) false) (not (< tptp.y 0.0)))) :rule implies_simplify)
% 0.21/0.59  (step t175.t17 (cl (not (=> (< tptp.y 0.0) false)) (not (< tptp.y 0.0))) :rule equiv1 :premises (t175.t16))
% 0.21/0.59  (step t175.t18 (cl (not (< tptp.y 0.0))) :rule resolution :premises (t175.t15 t175.t17))
% 0.21/0.59  (step t175.t19 (cl (>= tptp.y 0.0)) :rule resolution :premises (t175.t1 t175.t9 t175.t18))
% 0.21/0.59  (step t175.t20 (cl (not (= (< tptp.y 0.0) (not (>= tptp.y 0.0)))) (not (< tptp.y 0.0)) (not (>= tptp.y 0.0))) :rule equiv_pos2)
% 0.21/0.59  (step t175.t21 (cl (= (not (>= tptp.y 0)) (not (>= tptp.y 0.0)))) :rule symm :premises (t175.t4))
% 0.21/0.59  (step t175.t22 (cl (= (< tptp.y 0.0) (not (>= tptp.y 0.0)))) :rule trans :premises (t175.t5 t175.t21))
% 0.21/0.59  (step t175.t23 (cl (not (= (not (>= tptp.y 0)) (< tptp.y 0.0))) (not (not (>= tptp.y 0))) (< tptp.y 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t175.t24 (cl (= (not (>= tptp.y 0)) (< tptp.y 0.0))) :rule symm :premises (t175.t5))
% 0.21/0.59  (step t175.t25 (cl (< tptp.y 0.0)) :rule resolution :premises (t175.t23 t175.t24 t175.a0))
% 0.21/0.59  (step t175.t26 (cl (not (>= tptp.y 0.0))) :rule resolution :premises (t175.t20 t175.t22 t175.t25))
% 0.21/0.59  (step t175.t27 (cl) :rule resolution :premises (t175.t19 t175.t26))
% 0.21/0.59  (step t175 (cl (not (not (>= tptp.y 0))) (not (not (>= (* (- 1) tptp.y) 0))) false) :rule subproof :discharge (t175.a0 t175.a1))
% 0.21/0.59  (step t176 (cl (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (not (>= tptp.y 0))) :rule and_pos)
% 0.21/0.59  (step t177 (cl (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (not (>= (* (- 1) tptp.y) 0))) :rule and_pos)
% 0.21/0.59  (step t178 (cl false (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))))) :rule resolution :premises (t175 t176 t177))
% 0.21/0.59  (step t179 (cl (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) false) :rule reordering :premises (t178))
% 0.21/0.59  (step t180 (cl (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) false) :rule contraction :premises (t179))
% 0.21/0.59  (step t181 (cl (=> (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false) false) :rule resolution :premises (t174 t180))
% 0.21/0.59  (step t182 (cl (=> (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false) (not false)) :rule implies_neg2)
% 0.21/0.59  (step t183 (cl (=> (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false) (=> (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false)) :rule resolution :premises (t181 t182))
% 0.21/0.59  (step t184 (cl (=> (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false)) :rule contraction :premises (t183))
% 0.21/0.59  (step t185 (cl (= (=> (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false) (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))))) :rule implies_simplify)
% 0.21/0.59  (step t186 (cl (not (=> (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false)) (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))))) :rule equiv1 :premises (t185))
% 0.21/0.59  (step t187 (cl (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))))) :rule resolution :premises (t184 t186))
% 0.21/0.59  (step t188 (cl (= (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) false)) :rule resolution :premises (t173 t187))
% 0.21/0.59  (step t189 (cl (= (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) false))) :rule cong :premises (t169 t188))
% 0.21/0.59  (step t190 (cl (= (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) false) (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0)))))) :rule all_simplify)
% 0.21/0.59  (step t191 (cl (= (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0)))))) :rule trans :premises (t189 t190))
% 0.21/0.59  (step t192 (cl (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0)))) :rule implies_neg1)
% 0.21/0.59  (anchor :step t193)
% 0.21/0.59  (assume t193.a0 (not (>= (* (- 1) tptp.y) 0)))
% 0.21/0.59  (assume t193.a1 (not (>= tptp.y 0)))
% 0.21/0.59  (step t193.t1 (cl (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0))) (not (not (>= (* (- 1) tptp.y) 0)))) :rule and_neg)
% 0.21/0.59  (step t193.t2 (cl (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) :rule resolution :premises (t193.t1 t193.a1 t193.a0))
% 0.21/0.59  (step t193 (cl (not (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) :rule subproof :discharge (t193.a0 t193.a1))
% 0.21/0.59  (step t194 (cl (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0)))) (not (>= (* (- 1) tptp.y) 0))) :rule and_pos)
% 0.21/0.59  (step t195 (cl (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0)))) (not (>= tptp.y 0))) :rule and_pos)
% 0.21/0.59  (step t196 (cl (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))) (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0)))) (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))))) :rule resolution :premises (t193 t194 t195))
% 0.21/0.59  (step t197 (cl (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0)))) (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0)))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) :rule reordering :premises (t196))
% 0.21/0.59  (step t198 (cl (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0)))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) :rule contraction :premises (t197))
% 0.21/0.59  (step t199 (cl (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) :rule resolution :premises (t192 t198))
% 0.21/0.59  (step t200 (cl (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (not (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))))) :rule implies_neg2)
% 0.21/0.59  (step t201 (cl (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0)))) (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))))) :rule resolution :premises (t199 t200))
% 0.21/0.59  (step t202 (cl (=> (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))) (and (not (>= tptp.y 0)) (not (>= (* (- 1) tptp.y) 0))))) :rule contraction :premises (t201))
% 0.21/0.59  (step t203 (cl (not (and (not (>= (* (- 1) tptp.y) 0)) (not (>= tptp.y 0))))) :rule resolution :premises (t168 t191 t202))
% 0.21/0.59  (step t204 (cl (not (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0)))) :rule not_and :premises (t203))
% 0.21/0.59  (step t205 (cl (or (not (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0)))) (not (not (not (>= (* (- 1) tptp.y) 0))))) :rule or_neg)
% 0.21/0.59  (step t206 (cl (or (not (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0)))) (not (not (not (>= tptp.y 0))))) :rule or_neg)
% 0.21/0.59  (step t207 (cl (or (not (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0)))) (or (not (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0))))) :rule resolution :premises (t204 t205 t206))
% 0.21/0.59  (step t208 (cl (or (not (not (>= (* (- 1) tptp.y) 0))) (not (not (>= tptp.y 0))))) :rule contraction :premises (t207))
% 0.21/0.59  (step t209 (cl (or (>= (* (- 1) tptp.y) 0) (>= tptp.y 0))) :rule resolution :premises (t146 t167 t208))
% 0.21/0.59  (step t210 (cl (>= (* (- 1) tptp.y) 0) (>= tptp.y 0)) :rule or :premises (t209))
% 0.21/0.59  (step t211 (cl (not (= (> tptp.y 0.0) (not (>= (* (- 1) tptp.y) 0)))) (not (> tptp.y 0.0)) (not (>= (* (- 1) tptp.y) 0))) :rule equiv_pos2)
% 0.21/0.59  (step t212 (cl (= (> tptp.y 0.0) (not (<= tptp.y 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t213 (cl (= (<= tptp.y 0.0) (>= (* (- 1) tptp.y) 0))) :rule all_simplify)
% 0.21/0.59  (step t214 (cl (= (not (<= tptp.y 0.0)) (not (>= (* (- 1) tptp.y) 0)))) :rule cong :premises (t213))
% 0.21/0.59  (step t215 (cl (= (> tptp.y 0.0) (not (>= (* (- 1) tptp.y) 0)))) :rule trans :premises (t212 t214))
% 0.21/0.59  (step t216 (cl (not (>= (* (- 1) tptp.y) 0))) :rule resolution :premises (t211 t215 a1))
% 0.21/0.59  (step t217 (cl (>= tptp.y 0)) :rule resolution :premises (t210 t216))
% 0.21/0.59  (step t218 (cl (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) :rule resolution :premises (t135 t145 t217))
% 0.21/0.59  (step t219 (cl (not (ite (>= tptp.x 0) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0))))) (not (>= tptp.x 0)) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0)))) :rule ite_pos2)
% 0.21/0.59  (step t220 (cl (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (not (>= tptp.x 0)) (not (ite (>= tptp.x 0) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0)))))) :rule reordering :premises (t219))
% 0.21/0.59  (step t221 (cl (not (= (or (not (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0)))) (or (>= (* (- 1) tptp.x) 0) (>= tptp.x 0)))) (not (or (not (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0))))) (or (>= (* (- 1) tptp.x) 0) (>= tptp.x 0))) :rule equiv_pos2)
% 0.21/0.59  (step t222 (cl (= (= (= (not (not (>= (* (- 1) tptp.x) 0))) (>= (* (- 1) tptp.x) 0)) true) (= (not (not (>= (* (- 1) tptp.x) 0))) (>= (* (- 1) tptp.x) 0)))) :rule equiv_simplify)
% 0.21/0.59  (step t223 (cl (not (= (= (not (not (>= (* (- 1) tptp.x) 0))) (>= (* (- 1) tptp.x) 0)) true)) (= (not (not (>= (* (- 1) tptp.x) 0))) (>= (* (- 1) tptp.x) 0))) :rule equiv1 :premises (t222))
% 0.21/0.59  (step t224 (cl (= (= (not (not (>= (* (- 1) tptp.x) 0))) (>= (* (- 1) tptp.x) 0)) (= (>= (* (- 1) tptp.x) 0) (not (not (>= (* (- 1) tptp.x) 0)))))) :rule all_simplify)
% 0.21/0.59  (step t225 (cl (= (>= (* (- 1) tptp.x) 0) (>= (* (- 1) tptp.x) 0))) :rule refl)
% 0.21/0.59  (step t226 (cl (= (not (not (>= (* (- 1) tptp.x) 0))) (>= (* (- 1) tptp.x) 0))) :rule all_simplify)
% 0.21/0.59  (step t227 (cl (= (= (>= (* (- 1) tptp.x) 0) (not (not (>= (* (- 1) tptp.x) 0)))) (= (>= (* (- 1) tptp.x) 0) (>= (* (- 1) tptp.x) 0)))) :rule cong :premises (t225 t226))
% 0.21/0.59  (step t228 (cl (= (= (>= (* (- 1) tptp.x) 0) (>= (* (- 1) tptp.x) 0)) true)) :rule all_simplify)
% 0.21/0.59  (step t229 (cl (= (= (>= (* (- 1) tptp.x) 0) (not (not (>= (* (- 1) tptp.x) 0)))) true)) :rule trans :premises (t227 t228))
% 0.21/0.59  (step t230 (cl (= (= (not (not (>= (* (- 1) tptp.x) 0))) (>= (* (- 1) tptp.x) 0)) true)) :rule trans :premises (t224 t229))
% 0.21/0.59  (step t231 (cl (= (not (not (>= (* (- 1) tptp.x) 0))) (>= (* (- 1) tptp.x) 0))) :rule resolution :premises (t223 t230))
% 0.21/0.59  (step t232 (cl (= (= (= (not (not (>= tptp.x 0))) (>= tptp.x 0)) true) (= (not (not (>= tptp.x 0))) (>= tptp.x 0)))) :rule equiv_simplify)
% 0.21/0.59  (step t233 (cl (not (= (= (not (not (>= tptp.x 0))) (>= tptp.x 0)) true)) (= (not (not (>= tptp.x 0))) (>= tptp.x 0))) :rule equiv1 :premises (t232))
% 0.21/0.59  (step t234 (cl (= (= (not (not (>= tptp.x 0))) (>= tptp.x 0)) (= (>= tptp.x 0) (not (not (>= tptp.x 0)))))) :rule all_simplify)
% 0.21/0.59  (step t235 (cl (= (>= tptp.x 0) (>= tptp.x 0))) :rule refl)
% 0.21/0.59  (step t236 (cl (= (not (not (>= tptp.x 0))) (>= tptp.x 0))) :rule all_simplify)
% 0.21/0.59  (step t237 (cl (= (= (>= tptp.x 0) (not (not (>= tptp.x 0)))) (= (>= tptp.x 0) (>= tptp.x 0)))) :rule cong :premises (t235 t236))
% 0.21/0.59  (step t238 (cl (= (= (>= tptp.x 0) (>= tptp.x 0)) true)) :rule all_simplify)
% 0.21/0.59  (step t239 (cl (= (= (>= tptp.x 0) (not (not (>= tptp.x 0)))) true)) :rule trans :premises (t237 t238))
% 0.21/0.59  (step t240 (cl (= (= (not (not (>= tptp.x 0))) (>= tptp.x 0)) true)) :rule trans :premises (t234 t239))
% 0.21/0.59  (step t241 (cl (= (not (not (>= tptp.x 0))) (>= tptp.x 0))) :rule resolution :premises (t233 t240))
% 0.21/0.59  (step t242 (cl (= (or (not (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0)))) (or (>= (* (- 1) tptp.x) 0) (>= tptp.x 0)))) :rule cong :premises (t231 t241))
% 0.21/0.59  (step t243 (cl (not (= (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0)))))) (not (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))))) (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))))) :rule equiv_pos2)
% 0.21/0.59  (step t244 (cl (= (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))))) :rule refl)
% 0.21/0.59  (step t245 (cl (= (= (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false) (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))))) :rule equiv_simplify)
% 0.21/0.59  (step t246 (cl (= (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false) (not (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))))) :rule equiv2 :premises (t245))
% 0.21/0.59  (step t247 (cl (not (not (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) :rule not_not)
% 0.21/0.59  (step t248 (cl (= (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) :rule resolution :premises (t246 t247))
% 0.21/0.59  (step t249 (cl (=> (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) :rule implies_neg1)
% 0.21/0.59  (anchor :step t250)
% 0.21/0.59  (assume t250.a0 (not (>= tptp.x 0)))
% 0.21/0.59  (assume t250.a1 (not (>= (* (- 1) tptp.x) 0)))
% 0.21/0.59  (step t250.t1 (cl (not (= (not (< tptp.x 0.0)) (>= tptp.x 0.0))) (not (not (< tptp.x 0.0))) (>= tptp.x 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t250.t2 (cl (= (< tptp.x 0.0) (not (>= tptp.x 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t250.t3 (cl (= (>= tptp.x 0.0) (>= tptp.x 0))) :rule all_simplify)
% 0.21/0.59  (step t250.t4 (cl (= (not (>= tptp.x 0.0)) (not (>= tptp.x 0)))) :rule cong :premises (t250.t3))
% 0.21/0.59  (step t250.t5 (cl (= (< tptp.x 0.0) (not (>= tptp.x 0)))) :rule trans :premises (t250.t2 t250.t4))
% 0.21/0.59  (step t250.t6 (cl (= (not (< tptp.x 0.0)) (not (not (>= tptp.x 0))))) :rule cong :premises (t250.t5))
% 0.21/0.59  (step t250.t7 (cl (= (not (< tptp.x 0.0)) (>= tptp.x 0))) :rule trans :premises (t250.t6 t236))
% 0.21/0.59  (step t250.t8 (cl (= (>= tptp.x 0) (>= tptp.x 0.0))) :rule symm :premises (t250.t3))
% 0.21/0.59  (step t250.t9 (cl (= (not (< tptp.x 0.0)) (>= tptp.x 0.0))) :rule trans :premises (t250.t7 t250.t8))
% 0.21/0.59  (step t250.t10 (cl (=> (< tptp.x 0.0) false) (< tptp.x 0.0)) :rule implies_neg1)
% 0.21/0.59  (anchor :step t250.t11)
% 0.21/0.59  (assume t250.t11.a0 (< tptp.x 0.0))
% 0.21/0.59  (step t250.t11.t1 (cl (not (= (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) false)) (not (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) false) :rule equiv_pos2)
% 0.21/0.59  (step t250.t11.t2 (cl (= (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) (not (>= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))))) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t3 (cl (= (* 1.0 tptp.x) tptp.x)) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t4 (cl (= (* (- 1.0) tptp.x) (* (- 1) tptp.x))) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t5 (cl (= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ tptp.x (* (- 1) tptp.x)))) :rule cong :premises (t250.t11.t3 t250.t11.t4))
% 0.21/0.59  (step t250.t11.t6 (cl (= (+ tptp.x (* (- 1) tptp.x)) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t7 (cl (= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) 0.0)) :rule trans :premises (t250.t11.t5 t250.t11.t6))
% 0.21/0.59  (step t250.t11.t8 (cl (= (* 1.0 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t9 (cl (= (* (- 1.0) 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t10 (cl (= (+ (* 1.0 0.0) (* (- 1.0) 0.0)) (+ 0.0 0.0))) :rule cong :premises (t250.t11.t8 t250.t11.t9))
% 0.21/0.59  (step t250.t11.t11 (cl (= (+ 0.0 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t12 (cl (= (+ (* 1.0 0.0) (* (- 1.0) 0.0)) 0.0)) :rule trans :premises (t250.t11.t10 t250.t11.t11))
% 0.21/0.59  (step t250.t11.t13 (cl (= (>= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) (>= 0.0 0.0))) :rule cong :premises (t250.t11.t7 t250.t11.t12))
% 0.21/0.59  (step t250.t11.t14 (cl (= (>= 0.0 0.0) true)) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t15 (cl (= (>= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) true)) :rule trans :premises (t250.t11.t13 t250.t11.t14))
% 0.21/0.59  (step t250.t11.t16 (cl (= (not (>= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) (not true))) :rule cong :premises (t250.t11.t15))
% 0.21/0.59  (step t250.t11.t17 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t18 (cl (= (not (>= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) false)) :rule trans :premises (t250.t11.t16 t250.t11.t17))
% 0.21/0.59  (step t250.t11.t19 (cl (= (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) false)) :rule trans :premises (t250.t11.t2 t250.t11.t18))
% 0.21/0.59  (step t250.t11.t20 (cl (not (< (* 1.0 tptp.x) (* 1.0 0.0))) (not (< (* (- 1.0) tptp.x) (* (- 1.0) 0.0))) (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) :rule la_generic :args (1 1 1))
% 0.21/0.59  (step t250.t11.t21 (cl (=> (and (> 1.0 0) (< tptp.x 0.0)) (< (* 1.0 tptp.x) (* 1.0 0.0)))) :rule la_mult_pos)
% 0.21/0.59  (step t250.t11.t22 (cl (not (and (> 1.0 0) (< tptp.x 0.0))) (< (* 1.0 tptp.x) (* 1.0 0.0))) :rule implies :premises (t250.t11.t21))
% 0.21/0.59  (step t250.t11.t23 (cl (and (> 1.0 0) (< tptp.x 0.0)) (not (> 1.0 0)) (not (< tptp.x 0.0))) :rule and_neg)
% 0.21/0.59  (step t250.t11.t24 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 0.21/0.59  (step t250.t11.t25 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t250.t11.t24))
% 0.21/0.59  (step t250.t11.t26 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 0.21/0.59  (step t250.t11.t27 (cl (> 1.0 0)) :rule resolution :premises (t250.t11.t25 t250.t11.t26))
% 0.21/0.59  (step t250.t11.t28 (cl (and (> 1.0 0) (< tptp.x 0.0))) :rule resolution :premises (t250.t11.t23 t250.t11.t27 t250.t11.a0))
% 0.21/0.59  (step t250.t11.t29 (cl (< (* 1.0 tptp.x) (* 1.0 0.0))) :rule resolution :premises (t250.t11.t22 t250.t11.t28))
% 0.21/0.59  (step t250.t11.t30 (cl (=> (and (< (- 1.0) 0) (> tptp.x 0.0)) (< (* (- 1.0) tptp.x) (* (- 1.0) 0.0)))) :rule la_mult_neg)
% 0.21/0.59  (step t250.t11.t31 (cl (not (and (< (- 1.0) 0) (> tptp.x 0.0))) (< (* (- 1.0) tptp.x) (* (- 1.0) 0.0))) :rule implies :premises (t250.t11.t30))
% 0.21/0.59  (step t250.t11.t32 (cl (and (< (- 1.0) 0) (> tptp.x 0.0)) (not (< (- 1.0) 0)) (not (> tptp.x 0.0))) :rule and_neg)
% 0.21/0.59  (step t250.t11.t33 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 0.21/0.59  (step t250.t11.t34 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t250.t11.t33))
% 0.21/0.59  (step t250.t11.t35 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 0.21/0.59  (step t250.t11.t36 (cl (< (- 1.0) 0)) :rule resolution :premises (t250.t11.t34 t250.t11.t35))
% 0.21/0.59  (step t250.t11.t37 (cl (not (= (not (>= (* (- 1) tptp.x) 0)) (> tptp.x 0.0))) (not (not (>= (* (- 1) tptp.x) 0))) (> tptp.x 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t250.t11.t38 (cl (= (> tptp.x 0.0) (not (<= tptp.x 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t39 (cl (= (<= tptp.x 0.0) (>= (* (- 1) tptp.x) 0))) :rule all_simplify)
% 0.21/0.59  (step t250.t11.t40 (cl (= (not (<= tptp.x 0.0)) (not (>= (* (- 1) tptp.x) 0)))) :rule cong :premises (t250.t11.t39))
% 0.21/0.59  (step t250.t11.t41 (cl (= (> tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule trans :premises (t250.t11.t38 t250.t11.t40))
% 0.21/0.59  (step t250.t11.t42 (cl (= (not (>= (* (- 1) tptp.x) 0)) (> tptp.x 0.0))) :rule symm :premises (t250.t11.t41))
% 0.21/0.59  (step t250.t11.t43 (cl (> tptp.x 0.0)) :rule resolution :premises (t250.t11.t37 t250.t11.t42 t250.a1))
% 0.21/0.59  (step t250.t11.t44 (cl (and (< (- 1.0) 0) (> tptp.x 0.0))) :rule resolution :premises (t250.t11.t32 t250.t11.t36 t250.t11.t43))
% 0.21/0.59  (step t250.t11.t45 (cl (< (* (- 1.0) tptp.x) (* (- 1.0) 0.0))) :rule resolution :premises (t250.t11.t31 t250.t11.t44))
% 0.21/0.59  (step t250.t11.t46 (cl (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) :rule resolution :premises (t250.t11.t20 t250.t11.t29 t250.t11.t45))
% 0.21/0.59  (step t250.t11.t47 (cl false) :rule resolution :premises (t250.t11.t1 t250.t11.t19 t250.t11.t46))
% 0.21/0.59  (step t250.t11 (cl (not (< tptp.x 0.0)) false) :rule subproof :discharge (t250.t11.a0))
% 0.21/0.59  (step t250.t12 (cl (=> (< tptp.x 0.0) false) false) :rule resolution :premises (t250.t10 t250.t11))
% 0.21/0.59  (step t250.t13 (cl (=> (< tptp.x 0.0) false) (not false)) :rule implies_neg2)
% 0.21/0.59  (step t250.t14 (cl (=> (< tptp.x 0.0) false) (=> (< tptp.x 0.0) false)) :rule resolution :premises (t250.t12 t250.t13))
% 0.21/0.59  (step t250.t15 (cl (=> (< tptp.x 0.0) false)) :rule contraction :premises (t250.t14))
% 0.21/0.59  (step t250.t16 (cl (= (=> (< tptp.x 0.0) false) (not (< tptp.x 0.0)))) :rule implies_simplify)
% 0.21/0.59  (step t250.t17 (cl (not (=> (< tptp.x 0.0) false)) (not (< tptp.x 0.0))) :rule equiv1 :premises (t250.t16))
% 0.21/0.59  (step t250.t18 (cl (not (< tptp.x 0.0))) :rule resolution :premises (t250.t15 t250.t17))
% 0.21/0.59  (step t250.t19 (cl (>= tptp.x 0.0)) :rule resolution :premises (t250.t1 t250.t9 t250.t18))
% 0.21/0.59  (step t250.t20 (cl (not (= (< tptp.x 0.0) (not (>= tptp.x 0.0)))) (not (< tptp.x 0.0)) (not (>= tptp.x 0.0))) :rule equiv_pos2)
% 0.21/0.59  (step t250.t21 (cl (= (not (>= tptp.x 0)) (not (>= tptp.x 0.0)))) :rule symm :premises (t250.t4))
% 0.21/0.59  (step t250.t22 (cl (= (< tptp.x 0.0) (not (>= tptp.x 0.0)))) :rule trans :premises (t250.t5 t250.t21))
% 0.21/0.59  (step t250.t23 (cl (not (= (not (>= tptp.x 0)) (< tptp.x 0.0))) (not (not (>= tptp.x 0))) (< tptp.x 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t250.t24 (cl (= (not (>= tptp.x 0)) (< tptp.x 0.0))) :rule symm :premises (t250.t5))
% 0.21/0.59  (step t250.t25 (cl (< tptp.x 0.0)) :rule resolution :premises (t250.t23 t250.t24 t250.a0))
% 0.21/0.59  (step t250.t26 (cl (not (>= tptp.x 0.0))) :rule resolution :premises (t250.t20 t250.t22 t250.t25))
% 0.21/0.59  (step t250.t27 (cl) :rule resolution :premises (t250.t19 t250.t26))
% 0.21/0.59  (step t250 (cl (not (not (>= tptp.x 0))) (not (not (>= (* (- 1) tptp.x) 0))) false) :rule subproof :discharge (t250.a0 t250.a1))
% 0.21/0.59  (step t251 (cl (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (not (>= tptp.x 0))) :rule and_pos)
% 0.21/0.59  (step t252 (cl (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (not (>= (* (- 1) tptp.x) 0))) :rule and_pos)
% 0.21/0.59  (step t253 (cl false (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))))) :rule resolution :premises (t250 t251 t252))
% 0.21/0.59  (step t254 (cl (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) false) :rule reordering :premises (t253))
% 0.21/0.59  (step t255 (cl (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) false) :rule contraction :premises (t254))
% 0.21/0.59  (step t256 (cl (=> (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false) false) :rule resolution :premises (t249 t255))
% 0.21/0.59  (step t257 (cl (=> (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false) (not false)) :rule implies_neg2)
% 0.21/0.59  (step t258 (cl (=> (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false) (=> (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false)) :rule resolution :premises (t256 t257))
% 0.21/0.59  (step t259 (cl (=> (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false)) :rule contraction :premises (t258))
% 0.21/0.59  (step t260 (cl (= (=> (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false) (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))))) :rule implies_simplify)
% 0.21/0.59  (step t261 (cl (not (=> (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false)) (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))))) :rule equiv1 :premises (t260))
% 0.21/0.59  (step t262 (cl (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))))) :rule resolution :premises (t259 t261))
% 0.21/0.59  (step t263 (cl (= (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) false)) :rule resolution :premises (t248 t262))
% 0.21/0.59  (step t264 (cl (= (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) false))) :rule cong :premises (t244 t263))
% 0.21/0.59  (step t265 (cl (= (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) false) (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0)))))) :rule all_simplify)
% 0.21/0.59  (step t266 (cl (= (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0)))))) :rule trans :premises (t264 t265))
% 0.21/0.59  (step t267 (cl (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0)))) :rule implies_neg1)
% 0.21/0.59  (anchor :step t268)
% 0.21/0.59  (assume t268.a0 (not (>= (* (- 1) tptp.x) 0)))
% 0.21/0.59  (assume t268.a1 (not (>= tptp.x 0)))
% 0.21/0.59  (step t268.t1 (cl (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0))) (not (not (>= (* (- 1) tptp.x) 0)))) :rule and_neg)
% 0.21/0.59  (step t268.t2 (cl (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) :rule resolution :premises (t268.t1 t268.a1 t268.a0))
% 0.21/0.59  (step t268 (cl (not (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) :rule subproof :discharge (t268.a0 t268.a1))
% 0.21/0.59  (step t269 (cl (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0)))) (not (>= (* (- 1) tptp.x) 0))) :rule and_pos)
% 0.21/0.59  (step t270 (cl (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0)))) (not (>= tptp.x 0))) :rule and_pos)
% 0.21/0.59  (step t271 (cl (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))) (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0)))) (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))))) :rule resolution :premises (t268 t269 t270))
% 0.21/0.59  (step t272 (cl (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0)))) (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0)))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) :rule reordering :premises (t271))
% 0.21/0.59  (step t273 (cl (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0)))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) :rule contraction :premises (t272))
% 0.21/0.59  (step t274 (cl (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) :rule resolution :premises (t267 t273))
% 0.21/0.59  (step t275 (cl (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (not (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))))) :rule implies_neg2)
% 0.21/0.59  (step t276 (cl (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0)))) (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))))) :rule resolution :premises (t274 t275))
% 0.21/0.59  (step t277 (cl (=> (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))) (and (not (>= tptp.x 0)) (not (>= (* (- 1) tptp.x) 0))))) :rule contraction :premises (t276))
% 0.21/0.59  (step t278 (cl (not (and (not (>= (* (- 1) tptp.x) 0)) (not (>= tptp.x 0))))) :rule resolution :premises (t243 t266 t277))
% 0.21/0.59  (step t279 (cl (not (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0)))) :rule not_and :premises (t278))
% 0.21/0.59  (step t280 (cl (or (not (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0)))) (not (not (not (>= (* (- 1) tptp.x) 0))))) :rule or_neg)
% 0.21/0.59  (step t281 (cl (or (not (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0)))) (not (not (not (>= tptp.x 0))))) :rule or_neg)
% 0.21/0.59  (step t282 (cl (or (not (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0)))) (or (not (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0))))) :rule resolution :premises (t279 t280 t281))
% 0.21/0.59  (step t283 (cl (or (not (not (>= (* (- 1) tptp.x) 0))) (not (not (>= tptp.x 0))))) :rule contraction :premises (t282))
% 0.21/0.59  (step t284 (cl (or (>= (* (- 1) tptp.x) 0) (>= tptp.x 0))) :rule resolution :premises (t221 t242 t283))
% 0.21/0.59  (step t285 (cl (>= (* (- 1) tptp.x) 0) (>= tptp.x 0)) :rule or :premises (t284))
% 0.21/0.59  (step t286 (cl (not (= (> tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (not (> tptp.x 0.0)) (not (>= (* (- 1) tptp.x) 0))) :rule equiv_pos2)
% 0.21/0.59  (step t287 (cl (= (> tptp.x 0.0) (not (<= tptp.x 0.0)))) :rule all_simplify)
% 0.21/0.59  (step t288 (cl (= (<= tptp.x 0.0) (>= (* (- 1) tptp.x) 0))) :rule all_simplify)
% 0.21/0.59  (step t289 (cl (= (not (<= tptp.x 0.0)) (not (>= (* (- 1) tptp.x) 0)))) :rule cong :premises (t288))
% 0.21/0.59  (step t290 (cl (= (> tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule trans :premises (t287 t289))
% 0.21/0.59  (step t291 (cl (not (>= (* (- 1) tptp.x) 0))) :rule resolution :premises (t286 t290 a0))
% 0.21/0.59  (step t292 (cl (>= tptp.x 0)) :rule resolution :premises (t285 t291))
% 0.21/0.59  (step t293 (cl (not (= (=> (and (ite (>= 1.0 0.0) (ite (>= tptp.y 0.0) (> 1.0 tptp.y) (> 1.0 (- tptp.y))) (ite (>= tptp.y 0.0) (> (- 1.0) tptp.y) (> (- 1.0) (- tptp.y)))) (not (= tptp.x 0.0))) (ite (>= tptp.x 0.0) (ite (>= (* tptp.x tptp.y) 0.0) (> tptp.x (* tptp.x tptp.y)) (> tptp.x (- (* tptp.x tptp.y)))) (ite (>= (* tptp.x tptp.y) 0.0) (> (- tptp.x) (* tptp.x tptp.y)) (> (- tptp.x) (- (* tptp.x tptp.y)))))) (=> (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (ite (>= tptp.x 0) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0))))))) (not (=> (and (ite (>= 1.0 0.0) (ite (>= tptp.y 0.0) (> 1.0 tptp.y) (> 1.0 (- tptp.y))) (ite (>= tptp.y 0.0) (> (- 1.0) tptp.y) (> (- 1.0) (- tptp.y)))) (not (= tptp.x 0.0))) (ite (>= tptp.x 0.0) (ite (>= (* tptp.x tptp.y) 0.0) (> tptp.x (* tptp.x tptp.y)) (> tptp.x (- (* tptp.x tptp.y)))) (ite (>= (* tptp.x tptp.y) 0.0) (> (- tptp.x) (* tptp.x tptp.y)) (> (- tptp.x) (- (* tptp.x tptp.y))))))) (=> (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (ite (>= tptp.x 0) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0)))))) :rule equiv_pos2)
% 0.21/0.59  (step t294 (cl (= (>= 1.0 0.0) true)) :rule all_simplify)
% 0.21/0.59  (step t295 (cl (= (>= tptp.y 0.0) (>= tptp.y 0))) :rule all_simplify)
% 0.21/0.59  (step t296 (cl (= (> 1.0 tptp.y) (not (<= 1.0 tptp.y)))) :rule all_simplify)
% 0.21/0.59  (step t297 (cl (= (<= 1.0 tptp.y) (>= tptp.y 1))) :rule all_simplify)
% 0.21/0.59  (step t298 (cl (= (not (<= 1.0 tptp.y)) (not (>= tptp.y 1)))) :rule cong :premises (t297))
% 0.21/0.59  (step t299 (cl (= (> 1.0 tptp.y) (not (>= tptp.y 1)))) :rule trans :premises (t296 t298))
% 0.21/0.59  (step t300 (cl (= (> 1.0 (- tptp.y)) (not (<= 1.0 (- tptp.y))))) :rule all_simplify)
% 0.21/0.59  (step t301 (cl (= 1.0 1.0)) :rule refl)
% 0.21/0.59  (step t302 (cl (= (- tptp.y) (* (- 1) tptp.y))) :rule all_simplify)
% 0.21/0.59  (step t303 (cl (= (<= 1.0 (- tptp.y)) (<= 1.0 (* (- 1) tptp.y)))) :rule cong :premises (t301 t302))
% 0.21/0.59  (step t304 (cl (= (<= 1.0 (* (- 1) tptp.y)) (>= (* (- 1) tptp.y) 1))) :rule all_simplify)
% 0.21/0.59  (step t305 (cl (= (<= 1.0 (- tptp.y)) (>= (* (- 1) tptp.y) 1))) :rule trans :premises (t303 t304))
% 0.21/0.59  (step t306 (cl (= (not (<= 1.0 (- tptp.y))) (not (>= (* (- 1) tptp.y) 1)))) :rule cong :premises (t305))
% 0.21/0.59  (step t307 (cl (= (> 1.0 (- tptp.y)) (not (>= (* (- 1) tptp.y) 1)))) :rule trans :premises (t300 t306))
% 0.21/0.59  (step t308 (cl (= (ite (>= tptp.y 0.0) (> 1.0 tptp.y) (> 1.0 (- tptp.y))) (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))))) :rule cong :premises (t295 t299 t307))
% 0.21/0.59  (step t309 (cl (= (> (- 1.0) tptp.y) (not (<= (- 1.0) tptp.y)))) :rule all_simplify)
% 0.21/0.59  (step t310 (cl (= (- 1.0) (- 1.0))) :rule all_simplify)
% 0.21/0.59  (step t311 (cl (= tptp.y tptp.y)) :rule refl)
% 0.21/0.59  (step t312 (cl (= (<= (- 1.0) tptp.y) (<= (- 1.0) tptp.y))) :rule cong :premises (t310 t311))
% 0.21/0.59  (step t313 (cl (= (<= (- 1.0) tptp.y) (>= tptp.y (- 1)))) :rule all_simplify)
% 0.21/0.59  (step t314 (cl (= (<= (- 1.0) tptp.y) (>= tptp.y (- 1)))) :rule trans :premises (t312 t313))
% 0.21/0.59  (step t315 (cl (= (not (<= (- 1.0) tptp.y)) (not (>= tptp.y (- 1))))) :rule cong :premises (t314))
% 0.21/0.59  (step t316 (cl (= (> (- 1.0) tptp.y) (not (>= tptp.y (- 1))))) :rule trans :premises (t309 t315))
% 0.21/0.59  (step t317 (cl (= (> (- 1.0) (- tptp.y)) (not (<= (- 1.0) (- tptp.y))))) :rule all_simplify)
% 0.21/0.59  (step t318 (cl (= (<= (- 1.0) (- tptp.y)) (<= (- 1.0) (* (- 1) tptp.y)))) :rule cong :premises (t310 t302))
% 0.21/0.59  (step t319 (cl (= (<= (- 1.0) (* (- 1) tptp.y)) (>= (* (- 1) tptp.y) (- 1)))) :rule all_simplify)
% 0.21/0.59  (step t320 (cl (= (<= (- 1.0) (- tptp.y)) (>= (* (- 1) tptp.y) (- 1)))) :rule trans :premises (t318 t319))
% 0.21/0.59  (step t321 (cl (= (not (<= (- 1.0) (- tptp.y))) (not (>= (* (- 1) tptp.y) (- 1))))) :rule cong :premises (t320))
% 0.21/0.59  (step t322 (cl (= (> (- 1.0) (- tptp.y)) (not (>= (* (- 1) tptp.y) (- 1))))) :rule trans :premises (t317 t321))
% 0.21/0.59  (step t323 (cl (= (ite (>= tptp.y 0.0) (> (- 1.0) tptp.y) (> (- 1.0) (- tptp.y))) (ite (>= tptp.y 0) (not (>= tptp.y (- 1))) (not (>= (* (- 1) tptp.y) (- 1)))))) :rule cong :premises (t295 t316 t322))
% 0.21/0.59  (step t324 (cl (= (ite (>= 1.0 0.0) (ite (>= tptp.y 0.0) (> 1.0 tptp.y) (> 1.0 (- tptp.y))) (ite (>= tptp.y 0.0) (> (- 1.0) tptp.y) (> (- 1.0) (- tptp.y)))) (ite true (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (ite (>= tptp.y 0) (not (>= tptp.y (- 1))) (not (>= (* (- 1) tptp.y) (- 1))))))) :rule cong :premises (t294 t308 t323))
% 0.21/0.59  (step t325 (cl (= (ite true (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (ite (>= tptp.y 0) (not (>= tptp.y (- 1))) (not (>= (* (- 1) tptp.y) (- 1))))) (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))))) :rule all_simplify)
% 0.21/0.59  (step t326 (cl (= (ite (>= 1.0 0.0) (ite (>= tptp.y 0.0) (> 1.0 tptp.y) (> 1.0 (- tptp.y))) (ite (>= tptp.y 0.0) (> (- 1.0) tptp.y) (> (- 1.0) (- tptp.y)))) (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))))) :rule trans :premises (t324 t325))
% 0.21/0.59  (step t327 (cl (= (not (= tptp.x 0.0)) (not (= tptp.x 0.0)))) :rule refl)
% 0.21/0.59  (step t328 (cl (= (and (ite (>= 1.0 0.0) (ite (>= tptp.y 0.0) (> 1.0 tptp.y) (> 1.0 (- tptp.y))) (ite (>= tptp.y 0.0) (> (- 1.0) tptp.y) (> (- 1.0) (- tptp.y)))) (not (= tptp.x 0.0))) (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))))) :rule cong :premises (t326 t327))
% 0.21/0.59  (step t329 (cl (= (>= tptp.x 0.0) (>= tptp.x 0))) :rule all_simplify)
% 0.21/0.59  (step t330 (cl (= (>= (* tptp.x tptp.y) 0.0) (>= (* tptp.x tptp.y) 0))) :rule all_simplify)
% 0.21/0.59  (step t331 (cl (= (> tptp.x (* tptp.x tptp.y)) (not (<= tptp.x (* tptp.x tptp.y))))) :rule all_simplify)
% 0.21/0.59  (step t332 (cl (= (<= tptp.x (* tptp.x tptp.y)) (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0))) :rule all_simplify)
% 0.21/0.59  (step t333 (cl (= (not (<= tptp.x (* tptp.x tptp.y))) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule cong :premises (t332))
% 0.21/0.59  (step t334 (cl (= (> tptp.x (* tptp.x tptp.y)) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)))) :rule trans :premises (t331 t333))
% 0.21/0.59  (step t335 (cl (= (> tptp.x (- (* tptp.x tptp.y))) (not (<= tptp.x (- (* tptp.x tptp.y)))))) :rule all_simplify)
% 0.21/0.59  (step t336 (cl (= tptp.x tptp.x)) :rule refl)
% 0.21/0.59  (step t337 (cl (= (- (* tptp.x tptp.y)) (* (- 1) (* tptp.x tptp.y)))) :rule all_simplify)
% 0.21/0.59  (step t338 (cl (= (<= tptp.x (- (* tptp.x tptp.y))) (<= tptp.x (* (- 1) (* tptp.x tptp.y))))) :rule cong :premises (t336 t337))
% 0.21/0.59  (step t339 (cl (= (<= tptp.x (* (- 1) (* tptp.x tptp.y))) (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) :rule all_simplify)
% 0.21/0.59  (step t340 (cl (= (<= tptp.x (- (* tptp.x tptp.y))) (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) :rule trans :premises (t338 t339))
% 0.21/0.59  (step t341 (cl (= (not (<= tptp.x (- (* tptp.x tptp.y)))) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0)))) :rule cong :premises (t340))
% 0.21/0.59  (step t342 (cl (= (> tptp.x (- (* tptp.x tptp.y))) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0)))) :rule trans :premises (t335 t341))
% 0.21/0.59  (step t343 (cl (= (ite (>= (* tptp.x tptp.y) 0.0) (> tptp.x (* tptp.x tptp.y)) (> tptp.x (- (* tptp.x tptp.y)))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))))) :rule cong :premises (t330 t334 t342))
% 0.21/0.59  (step t344 (cl (= (> (- tptp.x) (* tptp.x tptp.y)) (not (<= (- tptp.x) (* tptp.x tptp.y))))) :rule all_simplify)
% 0.21/0.59  (step t345 (cl (= (- tptp.x) (* (- 1) tptp.x))) :rule all_simplify)
% 0.21/0.59  (step t346 (cl (= (* tptp.x tptp.y) (* tptp.x tptp.y))) :rule refl)
% 0.21/0.59  (step t347 (cl (= (<= (- tptp.x) (* tptp.x tptp.y)) (<= (* (- 1) tptp.x) (* tptp.x tptp.y)))) :rule cong :premises (t345 t346))
% 0.21/0.59  (step t348 (cl (= (<= (* (- 1) tptp.x) (* tptp.x tptp.y)) (>= (+ tptp.x (* tptp.x tptp.y)) 0))) :rule all_simplify)
% 0.21/0.59  (step t349 (cl (= (<= (- tptp.x) (* tptp.x tptp.y)) (>= (+ tptp.x (* tptp.x tptp.y)) 0))) :rule trans :premises (t347 t348))
% 0.21/0.59  (step t350 (cl (= (not (<= (- tptp.x) (* tptp.x tptp.y))) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)))) :rule cong :premises (t349))
% 0.21/0.59  (step t351 (cl (= (> (- tptp.x) (* tptp.x tptp.y)) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)))) :rule trans :premises (t344 t350))
% 0.21/0.59  (step t352 (cl (= (> (- tptp.x) (- (* tptp.x tptp.y))) (not (<= (- tptp.x) (- (* tptp.x tptp.y)))))) :rule all_simplify)
% 0.21/0.59  (step t353 (cl (= (<= (- tptp.x) (- (* tptp.x tptp.y))) (<= (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))))) :rule cong :premises (t345 t337))
% 0.21/0.59  (step t354 (cl (= (<= (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0))) :rule all_simplify)
% 0.21/0.59  (step t355 (cl (= (<= (- tptp.x) (- (* tptp.x tptp.y))) (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0))) :rule trans :premises (t353 t354))
% 0.21/0.59  (step t356 (cl (= (not (<= (- tptp.x) (- (* tptp.x tptp.y)))) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0)))) :rule cong :premises (t355))
% 0.21/0.59  (step t357 (cl (= (> (- tptp.x) (- (* tptp.x tptp.y))) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0)))) :rule trans :premises (t352 t356))
% 0.21/0.59  (step t358 (cl (= (ite (>= (* tptp.x tptp.y) 0.0) (> (- tptp.x) (* tptp.x tptp.y)) (> (- tptp.x) (- (* tptp.x tptp.y)))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0))))) :rule cong :premises (t330 t351 t357))
% 0.21/0.59  (step t359 (cl (= (ite (>= tptp.x 0.0) (ite (>= (* tptp.x tptp.y) 0.0) (> tptp.x (* tptp.x tptp.y)) (> tptp.x (- (* tptp.x tptp.y)))) (ite (>= (* tptp.x tptp.y) 0.0) (> (- tptp.x) (* tptp.x tptp.y)) (> (- tptp.x) (- (* tptp.x tptp.y))))) (ite (>= tptp.x 0) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0)))))) :rule cong :premises (t329 t343 t358))
% 0.21/0.59  (step t360 (cl (= (=> (and (ite (>= 1.0 0.0) (ite (>= tptp.y 0.0) (> 1.0 tptp.y) (> 1.0 (- tptp.y))) (ite (>= tptp.y 0.0) (> (- 1.0) tptp.y) (> (- 1.0) (- tptp.y)))) (not (= tptp.x 0.0))) (ite (>= tptp.x 0.0) (ite (>= (* tptp.x tptp.y) 0.0) (> tptp.x (* tptp.x tptp.y)) (> tptp.x (- (* tptp.x tptp.y)))) (ite (>= (* tptp.x tptp.y) 0.0) (> (- tptp.x) (* tptp.x tptp.y)) (> (- tptp.x) (- (* tptp.x tptp.y)))))) (=> (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (ite (>= tptp.x 0) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0))))))) :rule cong :premises (t328 t359))
% 0.21/0.59  (step t361 (cl (=> (and (ite (>= 1.0 0.0) (ite (>= tptp.y 0.0) (> 1.0 tptp.y) (> 1.0 (- tptp.y))) (ite (>= tptp.y 0.0) (> (- 1.0) tptp.y) (> (- 1.0) (- tptp.y)))) (not (= tptp.x 0.0))) (ite (>= tptp.x 0.0) (ite (>= (* tptp.x tptp.y) 0.0) (> tptp.x (* tptp.x tptp.y)) (> tptp.x (- (* tptp.x tptp.y)))) (ite (>= (* tptp.x tptp.y) 0.0) (> (- tptp.x) (* tptp.x tptp.y)) (> (- tptp.x) (- (* tptp.x tptp.y))))))) :rule hole :args ((=> (and (ite (>= 1.0 0.0) (ite (>= tptp.y 0.0) (> 1.0 tptp.y) (> 1.0 (- tptp.y))) (ite (>= tptp.y 0.0) (> (- 1.0) tptp.y) (> (- 1.0) (- tptp.y)))) (not (= tptp.x 0.0))) (ite (>= tptp.x 0.0) (ite (>= (* tptp.x tptp.y) 0.0) (> tptp.x (* tptp.x tptp.y)) (> tptp.x (- (* tptp.x tptp.y)))) (ite (>= (* tptp.x tptp.y) 0.0) (> (- tptp.x) (* tptp.x tptp.y)) (> (- tptp.x) (- (* tptp.x tptp.y)))))) 3))
% 0.21/0.59  (step t362 (cl (=> (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (ite (>= tptp.x 0) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0)))))) :rule resolution :premises (t293 t360 t361))
% 0.21/0.59  (step t363 (cl (not (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0)))) (ite (>= tptp.x 0) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0))))) :rule implies :premises (t362))
% 0.21/0.59  (step t364 (cl (ite (>= tptp.x 0) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0)))) (not (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))))) :rule reordering :premises (t363))
% 0.21/0.59  (step t365 (cl (not (= (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0)))) (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (= tptp.x 0.0)))) (not (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0))))) (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (= tptp.x 0.0))) :rule equiv_pos2)
% 0.21/0.59  (step t366 (cl (= (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))))) :rule refl)
% 0.21/0.59  (step t367 (cl (= (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))))) :rule refl)
% 0.21/0.59  (step t368 (cl (= (= (= (not (not (= tptp.x 0.0))) (= tptp.x 0.0)) true) (= (not (not (= tptp.x 0.0))) (= tptp.x 0.0)))) :rule equiv_simplify)
% 0.21/0.59  (step t369 (cl (not (= (= (not (not (= tptp.x 0.0))) (= tptp.x 0.0)) true)) (= (not (not (= tptp.x 0.0))) (= tptp.x 0.0))) :rule equiv1 :premises (t368))
% 0.21/0.59  (step t370 (cl (= (= (not (not (= tptp.x 0.0))) (= tptp.x 0.0)) (= (= tptp.x 0.0) (not (not (= tptp.x 0.0)))))) :rule all_simplify)
% 0.21/0.59  (step t371 (cl (= (= tptp.x 0.0) (= tptp.x 0.0))) :rule refl)
% 0.21/0.59  (step t372 (cl (= (not (not (= tptp.x 0.0))) (= tptp.x 0.0))) :rule all_simplify)
% 0.21/0.59  (step t373 (cl (= (= (= tptp.x 0.0) (not (not (= tptp.x 0.0)))) (= (= tptp.x 0.0) (= tptp.x 0.0)))) :rule cong :premises (t371 t372))
% 0.21/0.59  (step t374 (cl (= (= (= tptp.x 0.0) (= tptp.x 0.0)) true)) :rule all_simplify)
% 0.21/0.59  (step t375 (cl (= (= (= tptp.x 0.0) (not (not (= tptp.x 0.0)))) true)) :rule trans :premises (t373 t374))
% 0.21/0.59  (step t376 (cl (= (= (not (not (= tptp.x 0.0))) (= tptp.x 0.0)) true)) :rule trans :premises (t370 t375))
% 0.21/0.59  (step t377 (cl (= (not (not (= tptp.x 0.0))) (= tptp.x 0.0))) :rule resolution :premises (t369 t376))
% 0.21/0.59  (step t378 (cl (= (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0)))) (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (= tptp.x 0.0)))) :rule cong :premises (t366 t367 t377))
% 0.21/0.59  (step t379 (cl (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0)))) :rule and_neg)
% 0.21/0.59  (step t380 (cl (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0)))) (not (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))))) :rule or_neg)
% 0.21/0.59  (step t381 (cl (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0)))) (not (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))))) :rule or_neg)
% 0.21/0.59  (step t382 (cl (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0)))) (not (not (not (= tptp.x 0.0))))) :rule or_neg)
% 0.21/0.59  (step t383 (cl (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0)))) (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0)))) (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0))))) :rule resolution :premises (t379 t380 t381 t382))
% 0.21/0.59  (step t384 (cl (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (not (not (= tptp.x 0.0))))) :rule contraction :premises (t383))
% 0.21/0.59  (step t385 (cl (or (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (= tptp.x 0.0))) :rule resolution :premises (t365 t378 t384))
% 0.21/0.59  (step t386 (cl (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) (= tptp.x 0.0)) :rule or :premises (t385))
% 0.21/0.59  (step t387 (cl (= tptp.x 0.0) (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))))) :rule reordering :premises (t386))
% 0.21/0.59  (step t388 (cl (not (= (or (not (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0))) (or (>= (* (- 1) tptp.x) 0) (not (= tptp.x 0.0))))) (not (or (not (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0)))) (or (>= (* (- 1) tptp.x) 0) (not (= tptp.x 0.0)))) :rule equiv_pos2)
% 0.21/0.59  (step t389 (cl (= (not (= tptp.x 0.0)) (not (= tptp.x 0.0)))) :rule refl)
% 0.21/0.59  (step t390 (cl (= (or (not (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0))) (or (>= (* (- 1) tptp.x) 0) (not (= tptp.x 0.0))))) :rule cong :premises (t231 t389))
% 0.21/0.59  (step t391 (cl (not (= (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0))))) (not (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))))) (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)))) :rule equiv_pos2)
% 0.21/0.59  (step t392 (cl (= (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)))) :rule refl)
% 0.21/0.59  (step t393 (cl (= (= (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false) (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))))) :rule equiv_simplify)
% 0.21/0.59  (step t394 (cl (= (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false) (not (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))))) :rule equiv2 :premises (t393))
% 0.21/0.59  (step t395 (cl (not (not (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))))) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule not_not)
% 0.21/0.59  (step t396 (cl (= (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule resolution :premises (t394 t395))
% 0.21/0.59  (step t397 (cl (=> (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule implies_neg1)
% 0.21/0.59  (anchor :step t398)
% 0.21/0.59  (assume t398.a0 (= tptp.x 0.0))
% 0.21/0.59  (assume t398.a1 (not (>= (* (- 1) tptp.x) 0)))
% 0.21/0.59  (step t398.t1 (cl (=> (= tptp.x 0.0) false) (= tptp.x 0.0)) :rule implies_neg1)
% 0.21/0.59  (anchor :step t398.t2)
% 0.21/0.59  (assume t398.t2.a0 (= tptp.x 0.0))
% 0.21/0.59  (step t398.t2.t1 (cl (not (= (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) false)) (not (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) false) :rule equiv_pos2)
% 0.21/0.59  (step t398.t2.t2 (cl (= (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) (not (>= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))))) :rule all_simplify)
% 0.21/0.59  (step t398.t2.t3 (cl (= (* 1.0 tptp.x) tptp.x)) :rule all_simplify)
% 0.21/0.59  (step t398.t2.t4 (cl (= (* (- 1.0) tptp.x) (* (- 1) tptp.x))) :rule all_simplify)
% 0.21/0.59  (step t398.t2.t5 (cl (= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ tptp.x (* (- 1) tptp.x)))) :rule cong :premises (t398.t2.t3 t398.t2.t4))
% 0.21/0.59  (step t398.t2.t6 (cl (= (+ tptp.x (* (- 1) tptp.x)) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t398.t2.t7 (cl (= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) 0.0)) :rule trans :premises (t398.t2.t5 t398.t2.t6))
% 0.21/0.59  (step t398.t2.t8 (cl (= (* 1.0 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t398.t2.t9 (cl (= (* (- 1.0) 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t398.t2.t10 (cl (= (+ (* 1.0 0.0) (* (- 1.0) 0.0)) (+ 0.0 0.0))) :rule cong :premises (t398.t2.t8 t398.t2.t9))
% 0.21/0.59  (step t398.t2.t11 (cl (= (+ 0.0 0.0) 0.0)) :rule all_simplify)
% 0.21/0.59  (step t398.t2.t12 (cl (= (+ (* 1.0 0.0) (* (- 1.0) 0.0)) 0.0)) :rule trans :premises (t398.t2.t10 t398.t2.t11))
% 0.21/0.59  (step t398.t2.t13 (cl (= (>= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) (>= 0.0 0.0))) :rule cong :premises (t398.t2.t7 t398.t2.t12))
% 0.21/0.59  (step t398.t2.t14 (cl (= (>= 0.0 0.0) true)) :rule all_simplify)
% 0.21/0.59  (step t398.t2.t15 (cl (= (>= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) true)) :rule trans :premises (t398.t2.t13 t398.t2.t14))
% 0.21/0.59  (step t398.t2.t16 (cl (= (not (>= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) (not true))) :rule cong :premises (t398.t2.t15))
% 0.21/0.59  (step t398.t2.t17 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.59  (step t398.t2.t18 (cl (= (not (>= (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) false)) :rule trans :premises (t398.t2.t16 t398.t2.t17))
% 0.21/0.59  (step t398.t2.t19 (cl (= (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0))) false)) :rule trans :premises (t398.t2.t2 t398.t2.t18))
% 0.21/0.59  (step t398.t2.t20 (cl (not (= (* 1.0 tptp.x) (* 1.0 0.0))) (not (< (* (- 1.0) tptp.x) (* (- 1.0) 0.0))) (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) :rule la_generic :args ((- 1) 1 1))
% 0.21/0.59  (step t398.t2.t21 (cl (=> (and (> 1.0 0) (= tptp.x 0.0)) (= (* 1.0 tptp.x) (* 1.0 0.0)))) :rule la_mult_pos)
% 0.21/0.59  (step t398.t2.t22 (cl (not (and (> 1.0 0) (= tptp.x 0.0))) (= (* 1.0 tptp.x) (* 1.0 0.0))) :rule implies :premises (t398.t2.t21))
% 0.21/0.59  (step t398.t2.t23 (cl (and (> 1.0 0) (= tptp.x 0.0)) (not (> 1.0 0)) (not (= tptp.x 0.0))) :rule and_neg)
% 0.21/0.59  (step t398.t2.t24 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 0.21/0.59  (step t398.t2.t25 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t398.t2.t24))
% 0.21/0.59  (step t398.t2.t26 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 0.21/0.59  (step t398.t2.t27 (cl (> 1.0 0)) :rule resolution :premises (t398.t2.t25 t398.t2.t26))
% 0.21/0.59  (step t398.t2.t28 (cl (and (> 1.0 0) (= tptp.x 0.0))) :rule resolution :premises (t398.t2.t23 t398.t2.t27 t398.t2.a0))
% 0.21/0.59  (step t398.t2.t29 (cl (= (* 1.0 tptp.x) (* 1.0 0.0))) :rule resolution :premises (t398.t2.t22 t398.t2.t28))
% 0.21/0.59  (step t398.t2.t30 (cl (=> (and (< (- 1.0) 0) (> tptp.x 0.0)) (< (* (- 1.0) tptp.x) (* (- 1.0) 0.0)))) :rule la_mult_neg)
% 0.21/0.59  (step t398.t2.t31 (cl (not (and (< (- 1.0) 0) (> tptp.x 0.0))) (< (* (- 1.0) tptp.x) (* (- 1.0) 0.0))) :rule implies :premises (t398.t2.t30))
% 0.21/0.59  (step t398.t2.t32 (cl (and (< (- 1.0) 0) (> tptp.x 0.0)) (not (< (- 1.0) 0)) (not (> tptp.x 0.0))) :rule and_neg)
% 0.21/0.59  (step t398.t2.t33 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 0.21/0.59  (step t398.t2.t34 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t398.t2.t33))
% 0.21/0.59  (step t398.t2.t35 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 0.21/0.59  (step t398.t2.t36 (cl (< (- 1.0) 0)) :rule resolution :premises (t398.t2.t34 t398.t2.t35))
% 0.21/0.59  (step t398.t2.t37 (cl (not (= (not (>= (* (- 1) tptp.x) 0)) (> tptp.x 0.0))) (not (not (>= (* (- 1) tptp.x) 0))) (> tptp.x 0.0)) :rule equiv_pos2)
% 0.21/0.59  (step t398.t2.t38 (cl (= (> tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule trans :premises (t287 t289))
% 0.21/0.59  (step t398.t2.t39 (cl (= (not (>= (* (- 1) tptp.x) 0)) (> tptp.x 0.0))) :rule symm :premises (t398.t2.t38))
% 0.21/0.59  (step t398.t2.t40 (cl (> tptp.x 0.0)) :rule resolution :premises (t398.t2.t37 t398.t2.t39 t398.a1))
% 0.21/0.59  (step t398.t2.t41 (cl (and (< (- 1.0) 0) (> tptp.x 0.0))) :rule resolution :premises (t398.t2.t32 t398.t2.t36 t398.t2.t40))
% 0.21/0.59  (step t398.t2.t42 (cl (< (* (- 1.0) tptp.x) (* (- 1.0) 0.0))) :rule resolution :premises (t398.t2.t31 t398.t2.t41))
% 0.21/0.59  (step t398.t2.t43 (cl (< (+ (* 1.0 tptp.x) (* (- 1.0) tptp.x)) (+ (* 1.0 0.0) (* (- 1.0) 0.0)))) :rule resolution :premises (t398.t2.t20 t398.t2.t29 t398.t2.t42))
% 0.21/0.59  (step t398.t2.t44 (cl false) :rule resolution :premises (t398.t2.t1 t398.t2.t19 t398.t2.t43))
% 0.21/0.59  (step t398.t2 (cl (not (= tptp.x 0.0)) false) :rule subproof :discharge (t398.t2.a0))
% 0.21/0.59  (step t398.t3 (cl (=> (= tptp.x 0.0) false) false) :rule resolution :premises (t398.t1 t398.t2))
% 0.21/0.59  (step t398.t4 (cl (=> (= tptp.x 0.0) false) (not false)) :rule implies_neg2)
% 0.21/0.59  (step t398.t5 (cl (=> (= tptp.x 0.0) false) (=> (= tptp.x 0.0) false)) :rule resolution :premises (t398.t3 t398.t4))
% 0.21/0.59  (step t398.t6 (cl (=> (= tptp.x 0.0) false)) :rule contraction :premises (t398.t5))
% 0.21/0.59  (step t398.t7 (cl (= (=> (= tptp.x 0.0) false) (not (= tptp.x 0.0)))) :rule implies_simplify)
% 0.21/0.59  (step t398.t8 (cl (not (=> (= tptp.x 0.0) false)) (not (= tptp.x 0.0))) :rule equiv1 :premises (t398.t7))
% 0.21/0.59  (step t398.t9 (cl (not (= tptp.x 0.0))) :rule resolution :premises (t398.t6 t398.t8))
% 0.21/0.59  (step t398.t10 (cl) :rule resolution :premises (t398.a0 t398.t9))
% 0.21/0.59  (step t398 (cl (not (= tptp.x 0.0)) (not (not (>= (* (- 1) tptp.x) 0))) false) :rule subproof :discharge (t398.a0 t398.a1))
% 0.21/0.59  (step t399 (cl (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (= tptp.x 0.0)) :rule and_pos)
% 0.21/0.59  (step t400 (cl (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (not (>= (* (- 1) tptp.x) 0))) :rule and_pos)
% 0.21/0.59  (step t401 (cl false (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))))) :rule resolution :premises (t398 t399 t400))
% 0.21/0.59  (step t402 (cl (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) false) :rule reordering :premises (t401))
% 0.21/0.59  (step t403 (cl (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) false) :rule contraction :premises (t402))
% 0.21/0.59  (step t404 (cl (=> (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false) false) :rule resolution :premises (t397 t403))
% 0.21/0.59  (step t405 (cl (=> (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false) (not false)) :rule implies_neg2)
% 0.21/0.59  (step t406 (cl (=> (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false) (=> (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false)) :rule resolution :premises (t404 t405))
% 0.21/0.59  (step t407 (cl (=> (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false)) :rule contraction :premises (t406))
% 0.21/0.59  (step t408 (cl (= (=> (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false) (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))))) :rule implies_simplify)
% 0.21/0.59  (step t409 (cl (not (=> (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false)) (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))))) :rule equiv1 :premises (t408))
% 0.21/0.59  (step t410 (cl (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))))) :rule resolution :premises (t407 t409))
% 0.21/0.59  (step t411 (cl (= (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) false)) :rule resolution :premises (t396 t410))
% 0.21/0.59  (step t412 (cl (= (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) false))) :rule cong :premises (t392 t411))
% 0.21/0.59  (step t413 (cl (= (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) false) (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0))))) :rule all_simplify)
% 0.21/0.59  (step t414 (cl (= (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0))))) :rule trans :premises (t412 t413))
% 0.21/0.59  (step t415 (cl (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0))) :rule implies_neg1)
% 0.21/0.59  (anchor :step t416)
% 0.21/0.59  (assume t416.a0 (not (>= (* (- 1) tptp.x) 0)))
% 0.21/0.59  (assume t416.a1 (= tptp.x 0.0))
% 0.21/0.59  (step t416.t1 (cl (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0)) (not (not (>= (* (- 1) tptp.x) 0)))) :rule and_neg)
% 0.21/0.59  (step t416.t2 (cl (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule resolution :premises (t416.t1 t416.a1 t416.a0))
% 0.21/0.59  (step t416 (cl (not (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule subproof :discharge (t416.a0 t416.a1))
% 0.21/0.59  (step t417 (cl (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0))) (not (>= (* (- 1) tptp.x) 0))) :rule and_pos)
% 0.21/0.59  (step t418 (cl (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0))) (= tptp.x 0.0)) :rule and_pos)
% 0.21/0.59  (step t419 (cl (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))) (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0))) (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)))) :rule resolution :premises (t416 t417 t418))
% 0.21/0.59  (step t420 (cl (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0))) (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0))) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule reordering :premises (t419))
% 0.21/0.59  (step t421 (cl (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0))) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule contraction :premises (t420))
% 0.21/0.59  (step t422 (cl (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) :rule resolution :premises (t415 t421))
% 0.21/0.59  (step t423 (cl (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (not (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))))) :rule implies_neg2)
% 0.21/0.59  (step t424 (cl (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0)))) (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))))) :rule resolution :premises (t422 t423))
% 0.21/0.59  (step t425 (cl (=> (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)) (and (= tptp.x 0.0) (not (>= (* (- 1) tptp.x) 0))))) :rule contraction :premises (t424))
% 0.21/0.59  (step t426 (cl (not (and (not (>= (* (- 1) tptp.x) 0)) (= tptp.x 0.0)))) :rule resolution :premises (t391 t414 t425))
% 0.21/0.59  (step t427 (cl (not (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0))) :rule not_and :premises (t426))
% 0.21/0.59  (step t428 (cl (or (not (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0))) (not (not (not (>= (* (- 1) tptp.x) 0))))) :rule or_neg)
% 0.21/0.59  (step t429 (cl (or (not (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0))) (not (not (= tptp.x 0.0)))) :rule or_neg)
% 0.21/0.59  (step t430 (cl (or (not (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0))) (or (not (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0)))) :rule resolution :premises (t427 t428 t429))
% 0.21/0.59  (step t431 (cl (or (not (not (>= (* (- 1) tptp.x) 0))) (not (= tptp.x 0.0)))) :rule contraction :premises (t430))
% 0.21/0.59  (step t432 (cl (or (>= (* (- 1) tptp.x) 0) (not (= tptp.x 0.0)))) :rule resolution :premises (t388 t390 t431))
% 0.21/0.59  (step t433 (cl (>= (* (- 1) tptp.x) 0) (not (= tptp.x 0.0))) :rule or :premises (t432))
% 0.21/0.59  (step t434 (cl (not (= tptp.x 0.0))) :rule resolution :premises (t433 t291))
% 0.21/0.59  (step t435 (cl (not (= (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1)))) (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (>= tptp.y 1)))) (not (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1))))) (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (>= tptp.y 1))) :rule equiv_pos2)
% 0.21/0.59  (step t436 (cl (= (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))))) :rule refl)
% 0.21/0.59  (step t437 (cl (= (= (= (not (not (>= tptp.y 1))) (>= tptp.y 1)) true) (= (not (not (>= tptp.y 1))) (>= tptp.y 1)))) :rule equiv_simplify)
% 0.21/0.59  (step t438 (cl (not (= (= (not (not (>= tptp.y 1))) (>= tptp.y 1)) true)) (= (not (not (>= tptp.y 1))) (>= tptp.y 1))) :rule equiv1 :premises (t437))
% 0.21/0.59  (step t439 (cl (= (= (not (not (>= tptp.y 1))) (>= tptp.y 1)) (= (>= tptp.y 1) (not (not (>= tptp.y 1)))))) :rule all_simplify)
% 0.21/0.59  (step t440 (cl (= (>= tptp.y 1) (>= tptp.y 1))) :rule refl)
% 0.21/0.59  (step t441 (cl (= (not (not (>= tptp.y 1))) (>= tptp.y 1))) :rule all_simplify)
% 0.21/0.59  (step t442 (cl (= (= (>= tptp.y 1) (not (not (>= tptp.y 1)))) (= (>= tptp.y 1) (>= tptp.y 1)))) :rule cong :premises (t440 t441))
% 0.21/0.59  (step t443 (cl (= (= (>= tptp.y 1) (>= tptp.y 1)) true)) :rule all_simplify)
% 0.21/0.59  (step t444 (cl (= (= (>= tptp.y 1) (not (not (>= tptp.y 1)))) true)) :rule trans :premises (t442 t443))
% 0.21/0.59  (step t445 (cl (= (= (not (not (>= tptp.y 1))) (>= tptp.y 1)) true)) :rule trans :premises (t439 t444))
% 0.21/0.59  (step t446 (cl (= (not (not (>= tptp.y 1))) (>= tptp.y 1))) :rule resolution :premises (t438 t445))
% 0.21/0.59  (step t447 (cl (= (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1)))) (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (>= tptp.y 1)))) :rule cong :premises (t436 t12 t446))
% 0.21/0.59  (step t448 (cl (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1)))) :rule ite_neg2)
% 0.21/0.59  (step t449 (cl (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1)))) (not (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))))) :rule or_neg)
% 0.21/0.59  (step t450 (cl (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1)))) (not (not (>= tptp.y 0)))) :rule or_neg)
% 0.21/0.59  (step t451 (cl (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1)))) (not (not (not (>= tptp.y 1))))) :rule or_neg)
% 0.21/0.59  (step t452 (cl (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1)))) (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1)))) (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1))))) :rule resolution :premises (t448 t449 t450 t451))
% 0.21/0.59  (step t453 (cl (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (not (not (>= tptp.y 1))))) :rule contraction :premises (t452))
% 0.21/0.59  (step t454 (cl (or (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (>= tptp.y 1))) :rule resolution :premises (t435 t447 t453))
% 0.21/0.59  (step t455 (cl (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0)) (>= tptp.y 1)) :rule or :premises (t454))
% 0.21/0.59  (step t456 (cl (>= tptp.y 1) (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (>= tptp.y 0))) :rule reordering :premises (t455))
% 0.21/0.59  (step t457 (cl (not (= (< tptp.y 1.0) (not (>= tptp.y 1)))) (not (< tptp.y 1.0)) (not (>= tptp.y 1))) :rule equiv_pos2)
% 0.21/0.59  (step t458 (cl (= (< tptp.y 1.0) (not (>= tptp.y 1.0)))) :rule all_simplify)
% 0.21/0.59  (step t459 (cl (= (>= tptp.y 1.0) (>= tptp.y 1))) :rule all_simplify)
% 0.21/0.59  (step t460 (cl (= (not (>= tptp.y 1.0)) (not (>= tptp.y 1)))) :rule cong :premises (t459))
% 0.21/0.59  (step t461 (cl (= (< tptp.y 1.0) (not (>= tptp.y 1)))) :rule trans :premises (t458 t460))
% 0.21/0.59  (step t462 (cl (not (>= tptp.y 1))) :rule resolution :premises (t457 t461 a2))
% 0.21/0.59  (step t463 (cl (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1)))) :rule resolution :premises (t456 t462 t217))
% 0.21/0.59  (step t464 (cl (and (ite (>= tptp.y 0) (not (>= tptp.y 1)) (not (>= (* (- 1) tptp.y) 1))) (not (= tptp.x 0.0)))) :rule resolution :premises (t387 t434 t463))
% 0.21/0.59  (step t465 (cl (ite (>= tptp.x 0) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0))) (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ tptp.x (* tptp.x tptp.y)) 0)) (not (>= (+ tptp.x (* (- 1) (* tptp.x tptp.y))) 0))))) :rule resolution :premises (t364 t464))
% 0.21/0.59  (step t466 (cl (ite (>= (* tptp.x tptp.y) 0) (not (>= (+ (* (- 1) tptp.x) (* tptp.x tptp.y)) 0)) (not (>= (+ (* (- 1) tptp.x) (* (- 1) (* tptp.x tptp.y))) 0)))) :rule resolution :premises (t220 t292 t465))
% 0.21/0.59  (step t467 (cl (not (>= (* tptp.x tptp.y) 0))) :rule resolution :premises (t76 t218 t466))
% 0.21/0.59  (step t468 (cl) :rule resolution :premises (t74 t467 t292 t217 t145))
% 0.21/0.59  
% 0.21/0.59  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.bDGpcGREX3/cvc5---1.0.5_22183.smt2
% 0.21/0.59  % cvc5---1.0.5 exiting
% 0.21/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------