%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEG022_1 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n014.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 16:44:39 EDT 2024

% Result   : Theorem 0.42s 0.60s
% Output   : Proof 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEG022_1 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n014.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
% 0.21/0.35  % CPULimit   : 300
% 0.21/0.35  % WCLimit    : 300
% 0.21/0.35  % DateTime   : Sun May 26 08:16:54 EDT 2024
% 0.21/0.35  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_ARI
% 0.42/0.60  --- Run --finite-model-find --decision=internal at 15...
% 0.42/0.60  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.1EL6cAEF9O/cvc5---1.0.5_12184.smt2
% 0.42/0.60  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.1EL6cAEF9O/cvc5---1.0.5_12184.smt2
% 0.42/0.60  (assume a0 (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (<= (tptp.d tptp.hamburg tptp.munich) 700))))
% 0.42/0.60  (assume a1 true)
% 0.42/0.60  (step t1 (cl (not (= (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))))) (not (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule equiv_pos2)
% 0.42/0.60  (step t2 (cl (= (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule refl)
% 0.42/0.60  (step t3 (cl (= (= (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))))) :rule equiv_simplify)
% 0.42/0.60  (step t4 (cl (= (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) (not (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))))) :rule equiv2 :premises (t3))
% 0.42/0.60  (step t5 (cl (not (not (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))))) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule not_not)
% 0.42/0.60  (step t6 (cl (= (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule resolution :premises (t4 t5))
% 0.42/0.60  (step t7 (cl (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule implies_neg1)
% 0.42/0.60  (anchor :step t8)
% 0.42/0.60  (assume t8.a0 (= (tptp.d tptp.hamburg tptp.frankfurt) 390))
% 0.42/0.60  (assume t8.a1 (>= (tptp.d tptp.hamburg tptp.munich) 701))
% 0.42/0.60  (assume t8.a2 (= 300 (tptp.d tptp.frankfurt tptp.munich)))
% 0.42/0.60  (assume t8.a3 (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))
% 0.42/0.60  (step t8.t1 (cl (not (= (< (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) (not (< (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule equiv_pos2)
% 0.42/0.60  (step t8.t2 (cl (= (< (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule all_simplify)
% 0.42/0.60  (step t8.t3 (cl (not (= (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (< (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (< (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) :rule equiv_pos2)
% 0.42/0.60  (step t8.t4 (cl (= (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (< (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule symm :premises (t8.t2))
% 0.42/0.60  (step t8.t5 (cl (=> (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0) false) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) :rule implies_neg1)
% 0.42/0.60  (anchor :step t8.t6)
% 0.42/0.60  (assume t8.t6.a0 (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))
% 0.42/0.60  (step t8.t6.t1 (cl (not (= (<= (+ (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt))) (+ (* (- 1.0) 0) (* 1.0 300) (* (- 1.0) 701) (* 1.0 390))) false)) (not (<= (+ (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt))) (+ (* (- 1.0) 0) (* 1.0 300) (* (- 1.0) 701) (* 1.0 390)))) false) :rule equiv_pos2)
% 0.42/0.60  (step t8.t6.t2 (cl (= (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (to_real (+ (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.frankfurt tptp.munich)))))) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t3 (cl (= (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (to_real (tptp.d tptp.frankfurt tptp.munich)))) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t4 (cl (= (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (to_real (* (- 1) (tptp.d tptp.hamburg tptp.munich))))) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t5 (cl (= (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt)) (to_real (tptp.d tptp.hamburg tptp.frankfurt)))) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t6 (cl (= (+ (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt))) (+ (to_real (+ (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.frankfurt tptp.munich)))) (to_real (tptp.d tptp.frankfurt tptp.munich)) (to_real (* (- 1) (tptp.d tptp.hamburg tptp.munich))) (to_real (tptp.d tptp.hamburg tptp.frankfurt))))) :rule cong :premises (t8.t6.t2 t8.t6.t3 t8.t6.t4 t8.t6.t5))
% 0.42/0.60  (step t8.t6.t7 (cl (= (+ (to_real (+ (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.frankfurt tptp.munich)))) (to_real (tptp.d tptp.frankfurt tptp.munich)) (to_real (* (- 1) (tptp.d tptp.hamburg tptp.munich))) (to_real (tptp.d tptp.hamburg tptp.frankfurt))) 0.0)) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t8 (cl (= (+ (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt))) 0.0)) :rule trans :premises (t8.t6.t6 t8.t6.t7))
% 0.42/0.60  (step t8.t6.t9 (cl (= (* (- 1.0) 0) 0.0)) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t10 (cl (= (* 1.0 300) 300.0)) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t11 (cl (= (* (- 1.0) 701) (- 701.0))) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t12 (cl (= (* 1.0 390) 390.0)) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t13 (cl (= (+ (* (- 1.0) 0) (* 1.0 300) (* (- 1.0) 701) (* 1.0 390)) (+ 0.0 300.0 (- 701.0) 390.0))) :rule cong :premises (t8.t6.t9 t8.t6.t10 t8.t6.t11 t8.t6.t12))
% 0.42/0.60  (step t8.t6.t14 (cl (= (+ 0.0 300.0 (- 701.0) 390.0) (- 11.0))) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t15 (cl (= (+ (* (- 1.0) 0) (* 1.0 300) (* (- 1.0) 701) (* 1.0 390)) (- 11.0))) :rule trans :premises (t8.t6.t13 t8.t6.t14))
% 0.42/0.60  (step t8.t6.t16 (cl (= (<= (+ (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt))) (+ (* (- 1.0) 0) (* 1.0 300) (* (- 1.0) 701) (* 1.0 390))) (<= 0.0 (- 11.0)))) :rule cong :premises (t8.t6.t8 t8.t6.t15))
% 0.42/0.60  (step t8.t6.t17 (cl (= (<= 0.0 (- 11.0)) false)) :rule all_simplify)
% 0.42/0.60  (step t8.t6.t18 (cl (= (<= (+ (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt))) (+ (* (- 1.0) 0) (* 1.0 300) (* (- 1.0) 701) (* 1.0 390))) false)) :rule trans :premises (t8.t6.t16 t8.t6.t17))
% 0.42/0.60  (step t8.t6.t19 (cl (not (<= (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* (- 1.0) 0))) (not (= (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* 1.0 300))) (not (<= (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* (- 1.0) 701))) (not (= (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt)) (* 1.0 390))) (<= (+ (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt))) (+ (* (- 1.0) 0) (* 1.0 300) (* (- 1.0) 701) (* 1.0 390)))) :rule la_generic :args (1 (- 1) 1 (- 1) 1))
% 0.42/0.60  (step t8.t6.t20 (cl (=> (and (< (- 1.0) 0) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (<= (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* (- 1.0) 0)))) :rule la_mult_neg)
% 0.42/0.60  (step t8.t6.t21 (cl (not (and (< (- 1.0) 0) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (<= (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* (- 1.0) 0))) :rule implies :premises (t8.t6.t20))
% 0.42/0.60  (step t8.t6.t22 (cl (and (< (- 1.0) 0) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (not (< (- 1.0) 0)) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule and_neg)
% 0.42/0.60  (step t8.t6.t23 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 0.42/0.60  (step t8.t6.t24 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t8.t6.t23))
% 0.42/0.60  (step t8.t6.t25 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 0.42/0.60  (step t8.t6.t26 (cl (< (- 1.0) 0)) :rule resolution :premises (t8.t6.t24 t8.t6.t25))
% 0.42/0.60  (step t8.t6.t27 (cl (and (< (- 1.0) 0) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule resolution :premises (t8.t6.t22 t8.t6.t26 t8.t6.a0))
% 0.42/0.60  (step t8.t6.t28 (cl (<= (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* (- 1.0) 0))) :rule resolution :premises (t8.t6.t21 t8.t6.t27))
% 0.42/0.60  (step t8.t6.t29 (cl (=> (and (> 1.0 0) (= (tptp.d tptp.frankfurt tptp.munich) 300)) (= (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* 1.0 300)))) :rule la_mult_pos)
% 0.42/0.60  (step t8.t6.t30 (cl (not (and (> 1.0 0) (= (tptp.d tptp.frankfurt tptp.munich) 300))) (= (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* 1.0 300))) :rule implies :premises (t8.t6.t29))
% 0.42/0.60  (step t8.t6.t31 (cl (and (> 1.0 0) (= (tptp.d tptp.frankfurt tptp.munich) 300)) (not (> 1.0 0)) (not (= (tptp.d tptp.frankfurt tptp.munich) 300))) :rule and_neg)
% 0.42/0.60  (step t8.t6.t32 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 0.42/0.60  (step t8.t6.t33 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t8.t6.t32))
% 0.42/0.60  (step t8.t6.t34 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 0.42/0.60  (step t8.t6.t35 (cl (> 1.0 0)) :rule resolution :premises (t8.t6.t33 t8.t6.t34))
% 0.42/0.60  (step t8.t6.t36 (cl (= (tptp.d tptp.frankfurt tptp.munich) 300)) :rule symm :premises (t8.a2))
% 0.42/0.60  (step t8.t6.t37 (cl (and (> 1.0 0) (= (tptp.d tptp.frankfurt tptp.munich) 300))) :rule resolution :premises (t8.t6.t31 t8.t6.t35 t8.t6.t36))
% 0.42/0.60  (step t8.t6.t38 (cl (= (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* 1.0 300))) :rule resolution :premises (t8.t6.t30 t8.t6.t37))
% 0.42/0.60  (step t8.t6.t39 (cl (=> (and (< (- 1.0) 0) (>= (tptp.d tptp.hamburg tptp.munich) 701)) (<= (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* (- 1.0) 701)))) :rule la_mult_neg)
% 0.42/0.60  (step t8.t6.t40 (cl (not (and (< (- 1.0) 0) (>= (tptp.d tptp.hamburg tptp.munich) 701))) (<= (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* (- 1.0) 701))) :rule implies :premises (t8.t6.t39))
% 0.42/0.60  (step t8.t6.t41 (cl (and (< (- 1.0) 0) (>= (tptp.d tptp.hamburg tptp.munich) 701)) (not (< (- 1.0) 0)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))) :rule and_neg)
% 0.42/0.60  (step t8.t6.t42 (cl (and (< (- 1.0) 0) (>= (tptp.d tptp.hamburg tptp.munich) 701))) :rule resolution :premises (t8.t6.t41 t8.t6.t26 t8.a1))
% 0.42/0.60  (step t8.t6.t43 (cl (<= (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* (- 1.0) 701))) :rule resolution :premises (t8.t6.t40 t8.t6.t42))
% 0.42/0.60  (step t8.t6.t44 (cl (=> (and (> 1.0 0) (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) (= (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt)) (* 1.0 390)))) :rule la_mult_pos)
% 0.42/0.60  (step t8.t6.t45 (cl (not (and (> 1.0 0) (= (tptp.d tptp.hamburg tptp.frankfurt) 390))) (= (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt)) (* 1.0 390))) :rule implies :premises (t8.t6.t44))
% 0.42/0.60  (step t8.t6.t46 (cl (and (> 1.0 0) (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) (not (> 1.0 0)) (not (= (tptp.d tptp.hamburg tptp.frankfurt) 390))) :rule and_neg)
% 0.42/0.60  (step t8.t6.t47 (cl (and (> 1.0 0) (= (tptp.d tptp.hamburg tptp.frankfurt) 390))) :rule resolution :premises (t8.t6.t46 t8.t6.t35 t8.a0))
% 0.42/0.60  (step t8.t6.t48 (cl (= (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt)) (* 1.0 390))) :rule resolution :premises (t8.t6.t45 t8.t6.t47))
% 0.42/0.60  (step t8.t6.t49 (cl (<= (+ (* (- 1.0) (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich))) (* 1.0 (tptp.d tptp.frankfurt tptp.munich)) (* (- 1.0) (tptp.d tptp.hamburg tptp.munich)) (* 1.0 (tptp.d tptp.hamburg tptp.frankfurt))) (+ (* (- 1.0) 0) (* 1.0 300) (* (- 1.0) 701) (* 1.0 390)))) :rule resolution :premises (t8.t6.t19 t8.t6.t28 t8.t6.t38 t8.t6.t43 t8.t6.t48))
% 0.42/0.60  (step t8.t6.t50 (cl false) :rule resolution :premises (t8.t6.t1 t8.t6.t18 t8.t6.t49))
% 0.42/0.60  (step t8.t6 (cl (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) :rule subproof :discharge (t8.t6.a0))
% 0.42/0.60  (step t8.t7 (cl (=> (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0) false) false) :rule resolution :premises (t8.t5 t8.t6))
% 0.42/0.60  (step t8.t8 (cl (=> (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0) false) (not false)) :rule implies_neg2)
% 0.42/0.60  (step t8.t9 (cl (=> (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0) false) (=> (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0) false)) :rule resolution :premises (t8.t7 t8.t8))
% 0.42/0.60  (step t8.t10 (cl (=> (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0) false)) :rule contraction :premises (t8.t9))
% 0.42/0.60  (step t8.t11 (cl (= (=> (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0) false) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule implies_simplify)
% 0.42/0.60  (step t8.t12 (cl (not (=> (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0) false)) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule equiv1 :premises (t8.t11))
% 0.42/0.60  (step t8.t13 (cl (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule resolution :premises (t8.t10 t8.t12))
% 0.42/0.60  (step t8.t14 (cl (< (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) :rule resolution :premises (t8.t3 t8.t4 t8.t13))
% 0.42/0.60  (step t8.t15 (cl (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule resolution :premises (t8.t1 t8.t2 t8.t14))
% 0.42/0.60  (step t8.t16 (cl) :rule resolution :premises (t8.a3 t8.t15))
% 0.42/0.60  (step t8 (cl (not (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)) (not (= 300 (tptp.d tptp.frankfurt tptp.munich))) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) :rule subproof :discharge (t8.a0 t8.a1 t8.a2 t8.a3))
% 0.42/0.60  (step t9 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) :rule and_pos)
% 0.42/0.60  (step t10 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (>= (tptp.d tptp.hamburg tptp.munich) 701)) :rule and_pos)
% 0.42/0.60  (step t11 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (= 300 (tptp.d tptp.frankfurt tptp.munich))) :rule and_pos)
% 0.42/0.60  (step t12 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) :rule and_pos)
% 0.42/0.60  (step t13 (cl false (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule resolution :premises (t8 t9 t10 t11 t12))
% 0.42/0.60  (step t14 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) false) :rule reordering :premises (t13))
% 0.42/0.60  (step t15 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) false) :rule contraction :premises (t14))
% 0.42/0.60  (step t16 (cl (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) false) :rule resolution :premises (t7 t15))
% 0.42/0.60  (step t17 (cl (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) (not false)) :rule implies_neg2)
% 0.42/0.60  (step t18 (cl (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false)) :rule resolution :premises (t16 t17))
% 0.42/0.60  (step t19 (cl (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false)) :rule contraction :premises (t18))
% 0.42/0.60  (step t20 (cl (= (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))))) :rule implies_simplify)
% 0.42/0.60  (step t21 (cl (not (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false)) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule equiv1 :premises (t20))
% 0.42/0.60  (step t22 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule resolution :premises (t19 t21))
% 0.42/0.60  (step t23 (cl (= (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false)) :rule resolution :premises (t6 t22))
% 0.42/0.60  (step t24 (cl (= (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false))) :rule cong :premises (t2 t23))
% 0.42/0.60  (step t25 (cl (= (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) false) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))))) :rule all_simplify)
% 0.42/0.60  (step t26 (cl (= (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))))) :rule trans :premises (t24 t25))
% 0.42/0.60  (step t27 (cl (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule implies_neg1)
% 0.42/0.60  (anchor :step t28)
% 0.42/0.60  (assume t28.a0 (= (tptp.d tptp.hamburg tptp.frankfurt) 390))
% 0.42/0.60  (assume t28.a1 (= (tptp.d tptp.munich tptp.frankfurt) 300))
% 0.42/0.60  (assume t28.a2 (>= (tptp.d tptp.hamburg tptp.munich) 701))
% 0.42/0.60  (assume t28.a3 (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)))
% 0.42/0.60  (assume t28.a4 (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))
% 0.42/0.60  (step t28.t1 (cl (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (not (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)) (not (= 300 (tptp.d tptp.frankfurt tptp.munich))) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule and_neg)
% 0.42/0.60  (step t28.t2 (cl (=> (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300)) (= 300 (tptp.d tptp.frankfurt tptp.munich))) (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300))) :rule implies_neg1)
% 0.42/0.60  (anchor :step t28.t3)
% 0.42/0.60  (assume t28.t3.a0 (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)))
% 0.42/0.60  (assume t28.t3.a1 (= (tptp.d tptp.munich tptp.frankfurt) 300))
% 0.42/0.60  (step t28.t3.t1 (cl (= 300 (tptp.d tptp.munich tptp.frankfurt))) :rule symm :premises (t28.t3.a1))
% 0.42/0.60  (step t28.t3.t2 (cl (= (tptp.d tptp.frankfurt tptp.munich) (tptp.d tptp.munich tptp.frankfurt))) :rule symm :premises (t28.t3.a0))
% 0.42/0.60  (step t28.t3.t3 (cl (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) :rule symm :premises (t28.t3.t2))
% 0.42/0.60  (step t28.t3.t4 (cl (= 300 (tptp.d tptp.frankfurt tptp.munich))) :rule trans :premises (t28.t3.t1 t28.t3.t3))
% 0.42/0.60  (step t28.t3 (cl (not (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) (not (= (tptp.d tptp.munich tptp.frankfurt) 300)) (= 300 (tptp.d tptp.frankfurt tptp.munich))) :rule subproof :discharge (t28.t3.a0 t28.t3.a1))
% 0.42/0.60  (step t28.t4 (cl (not (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) :rule and_pos)
% 0.42/0.60  (step t28.t5 (cl (not (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300))) (= (tptp.d tptp.munich tptp.frankfurt) 300)) :rule and_pos)
% 0.42/0.60  (step t28.t6 (cl (= 300 (tptp.d tptp.frankfurt tptp.munich)) (not (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300))) (not (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300)))) :rule resolution :premises (t28.t3 t28.t4 t28.t5))
% 0.42/0.60  (step t28.t7 (cl (not (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300))) (not (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300))) (= 300 (tptp.d tptp.frankfurt tptp.munich))) :rule reordering :premises (t28.t6))
% 0.42/0.60  (step t28.t8 (cl (not (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300))) (= 300 (tptp.d tptp.frankfurt tptp.munich))) :rule contraction :premises (t28.t7))
% 0.42/0.60  (step t28.t9 (cl (=> (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300)) (= 300 (tptp.d tptp.frankfurt tptp.munich))) (= 300 (tptp.d tptp.frankfurt tptp.munich))) :rule resolution :premises (t28.t2 t28.t8))
% 0.42/0.60  (step t28.t10 (cl (=> (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300)) (= 300 (tptp.d tptp.frankfurt tptp.munich))) (not (= 300 (tptp.d tptp.frankfurt tptp.munich)))) :rule implies_neg2)
% 0.42/0.60  (step t28.t11 (cl (=> (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300)) (= 300 (tptp.d tptp.frankfurt tptp.munich))) (=> (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300)) (= 300 (tptp.d tptp.frankfurt tptp.munich)))) :rule resolution :premises (t28.t9 t28.t10))
% 0.42/0.60  (step t28.t12 (cl (=> (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300)) (= 300 (tptp.d tptp.frankfurt tptp.munich)))) :rule contraction :premises (t28.t11))
% 0.42/0.60  (step t28.t13 (cl (not (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300))) (= 300 (tptp.d tptp.frankfurt tptp.munich))) :rule implies :premises (t28.t12))
% 0.42/0.60  (step t28.t14 (cl (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300)) (not (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) (not (= (tptp.d tptp.munich tptp.frankfurt) 300))) :rule and_neg)
% 0.42/0.60  (step t28.t15 (cl (and (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (= (tptp.d tptp.munich tptp.frankfurt) 300))) :rule resolution :premises (t28.t14 t28.a3 t28.a1))
% 0.42/0.60  (step t28.t16 (cl (= 300 (tptp.d tptp.frankfurt tptp.munich))) :rule resolution :premises (t28.t13 t28.t15))
% 0.42/0.60  (step t28.t17 (cl (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule resolution :premises (t28.t1 t28.a0 t28.a2 t28.t16 t28.a4))
% 0.42/0.60  (step t28 (cl (not (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) (not (= (tptp.d tptp.munich tptp.frankfurt) 300)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)) (not (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule subproof :discharge (t28.a0 t28.a1 t28.a2 t28.a3 t28.a4))
% 0.42/0.60  (step t29 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) :rule and_pos)
% 0.42/0.60  (step t30 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (= (tptp.d tptp.munich tptp.frankfurt) 300)) :rule and_pos)
% 0.42/0.60  (step t31 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (>= (tptp.d tptp.hamburg tptp.munich) 701)) :rule and_pos)
% 0.42/0.60  (step t32 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) :rule and_pos)
% 0.42/0.60  (step t33 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) :rule and_pos)
% 0.42/0.60  (step t34 (cl (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule resolution :premises (t28 t29 t30 t31 t32 t33))
% 0.42/0.60  (step t35 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule reordering :premises (t34))
% 0.42/0.60  (step t36 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule contraction :premises (t35))
% 0.42/0.60  (step t37 (cl (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule resolution :premises (t27 t36))
% 0.42/0.60  (step t38 (cl (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule implies_neg2)
% 0.42/0.60  (step t39 (cl (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule resolution :premises (t37 t38))
% 0.42/0.60  (step t40 (cl (=> (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= 300 (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule contraction :premises (t39))
% 0.42/0.60  (step t41 (cl (not (and (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.munich tptp.frankfurt) 300) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule resolution :premises (t1 t26 t40))
% 0.42/0.60  (step t42 (cl (not (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) (not (= (tptp.d tptp.munich tptp.frankfurt) 300)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)) (not (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule not_and :premises (t41))
% 0.42/0.60  (step t43 (cl (not (>= (tptp.d tptp.hamburg tptp.munich) 701)) (not (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) (not (= (tptp.d tptp.munich tptp.frankfurt) 300)) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) (not (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)))) :rule reordering :premises (t42))
% 0.42/0.60  (step t44 (cl (not (= (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) (not (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1)))) (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule equiv_pos2)
% 0.42/0.60  (step t45 (cl (= (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))))) :rule refl)
% 0.42/0.60  (step t46 (cl (= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) (+ (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))))) :rule all_simplify)
% 0.42/0.60  (step t47 (cl (= 1 1)) :rule refl)
% 0.42/0.60  (step t48 (cl (= (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1) (>= (+ (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) :rule cong :premises (t46 t47))
% 0.42/0.60  (step t49 (cl (= (>= (+ (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule all_simplify)
% 0.42/0.60  (step t50 (cl (= (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1) (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule trans :premises (t48 t49))
% 0.42/0.60  (step t51 (cl (= (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1)) (not (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))))) :rule cong :premises (t50))
% 0.42/0.60  (step t52 (cl (= (not (not (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule all_simplify)
% 0.42/0.60  (step t53 (cl (= (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1)) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule trans :premises (t51 t52))
% 0.42/0.60  (step t54 (cl (= (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)))) :rule cong :premises (t45 t53))
% 0.42/0.60  (step t55 (cl (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1)))) :rule implies_neg1)
% 0.42/0.60  (anchor :step t56)
% 0.42/0.60  (assume t56.a0 (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))))
% 0.42/0.60  (step t56.t1 (cl (or (not (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1)))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1)))) :rule forall_inst :args ((:= X tptp.hamburg) (:= Y tptp.frankfurt) (:= Z tptp.munich)))
% 0.42/0.60  (step t56.t2 (cl (not (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1)))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) :rule or :premises (t56.t1))
% 0.42/0.60  (step t56.t3 (cl (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) :rule resolution :premises (t56.t2 t56.a0))
% 0.42/0.60  (step t56 (cl (not (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1)))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) :rule subproof :discharge (t56.a0))
% 0.42/0.60  (step t57 (cl (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) :rule resolution :premises (t55 t56))
% 0.42/0.60  (step t58 (cl (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) (not (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1)))) :rule implies_neg2)
% 0.42/0.60  (step t59 (cl (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1))) (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1)))) :rule resolution :premises (t57 t58))
% 0.42/0.60  (step t60 (cl (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (not (>= (+ (tptp.d tptp.hamburg tptp.munich) (* (- 1) (tptp.d tptp.hamburg tptp.frankfurt)) (* (- 1) (tptp.d tptp.frankfurt tptp.munich))) 1)))) :rule contraction :premises (t59))
% 0.42/0.60  (step t61 (cl (=> (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0))) :rule resolution :premises (t44 t54 t60))
% 0.42/0.60  (step t62 (cl (not (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1)))) (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) :rule implies :premises (t61))
% 0.42/0.60  (step t63 (cl (not (= (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (<= (tptp.d tptp.hamburg tptp.munich) 700))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0))) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))))) (not (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (<= (tptp.d tptp.hamburg tptp.munich) 700)))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0))) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))))) :rule equiv_pos2)
% 0.42/0.60  (step t64 (cl (= (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))))) :rule refl)
% 0.42/0.60  (anchor :step t65 :args ((X tptp.city) (:= X X) (Y tptp.city) (:= Y Y) (Z tptp.city) (:= Z Z)))
% 0.42/0.60  (step t65.t1 (cl (= X X)) :rule refl)
% 0.42/0.60  (step t65.t2 (cl (= Y Y)) :rule refl)
% 0.42/0.60  (step t65.t3 (cl (= Z Z)) :rule refl)
% 0.42/0.60  (step t65.t4 (cl (= (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z))) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1)))) :rule all_simplify)
% 0.42/0.60  (step t65 (cl (= (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))))) :rule bind)
% 0.42/0.60  (step t66 (cl (= (forall ((X tptp.city)) (= (tptp.d X X) 0)) (forall ((X tptp.city)) (= (tptp.d X X) 0)))) :rule refl)
% 0.42/0.60  (step t67 (cl (= (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.munich) 510))) :rule refl)
% 0.42/0.60  (step t68 (cl (= (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.cologne) 480))) :rule refl)
% 0.42/0.60  (step t69 (cl (= (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.berlin tptp.frankfurt) 420))) :rule refl)
% 0.42/0.60  (step t70 (cl (= (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160))) :rule refl)
% 0.42/0.60  (step t71 (cl (= (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.saarbruecken tptp.cologne) 190))) :rule refl)
% 0.42/0.60  (step t72 (cl (= (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.cologne) 360))) :rule refl)
% 0.42/0.60  (step t73 (cl (= (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.hamburg tptp.frankfurt) 390))) :rule refl)
% 0.42/0.60  (step t74 (cl (= (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.cologne tptp.frankfurt) 150))) :rule refl)
% 0.42/0.60  (step t75 (cl (= (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.kiel) 90))) :rule refl)
% 0.42/0.60  (step t76 (cl (= (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.hamburg tptp.berlin) 250))) :rule refl)
% 0.42/0.60  (step t77 (cl (= (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.frankfurt) 300))) :rule refl)
% 0.42/0.60  (step t78 (cl (= (= (tptp.d tptp.munich tptp.saarbruecken) 360) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule refl)
% 0.42/0.60  (step t79 (cl (= (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)))) :rule cong :premises (t64 t65 t66 t67 t68 t69 t70 t71 t72 t73 t74 t75 t76 t77 t78))
% 0.42/0.60  (step t80 (cl (= (<= (tptp.d tptp.hamburg tptp.munich) 700) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))) :rule all_simplify)
% 0.42/0.60  (step t81 (cl (= (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (<= (tptp.d tptp.hamburg tptp.munich) 700)) (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))))) :rule cong :premises (t79 t80))
% 0.42/0.60  (step t82 (cl (= (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (<= (tptp.d tptp.hamburg tptp.munich) 700))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))))) :rule cong :premises (t81))
% 0.42/0.60  (step t83 (cl (= (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))))) :rule refl)
% 0.42/0.60  (step t84 (cl (= (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))))) :rule refl)
% 0.42/0.60  (step t85 (cl (= (forall ((X tptp.city)) (= (tptp.d X X) 0)) (forall ((X tptp.city)) (= (tptp.d X X) 0)))) :rule refl)
% 0.42/0.60  (step t86 (cl (and (= (tptp.d tptp.munich tptp.saarbruecken) 360) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.munich) 510)) (not (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (= (tptp.d tptp.munich tptp.frankfurt) 300)) (not (= (tptp.d tptp.hamburg tptp.berlin) 250)) (not (= (tptp.d tptp.hamburg tptp.kiel) 90)) (not (= (tptp.d tptp.cologne tptp.frankfurt) 150)) (not (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) (not (= (tptp.d tptp.hamburg tptp.cologne) 360)) (not (= (tptp.d tptp.saarbruecken tptp.cologne) 190)) (not (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160)) (not (= (tptp.d tptp.berlin tptp.frankfurt) 420)) (not (= (tptp.d tptp.berlin tptp.cologne) 480)) (not (= (tptp.d tptp.berlin tptp.munich) 510))) :rule and_neg)
% 0.42/0.60  (step t87 (cl (not (= (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (<= (tptp.d tptp.hamburg tptp.munich) 700))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))))) (not (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (<= (tptp.d tptp.hamburg tptp.munich) 700)))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))))) :rule equiv_pos2)
% 0.42/0.60  (step t88 (cl (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))))) :rule resolution :premises (t87 t82 a0))
% 0.42/0.60  (step t89 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t90 (cl (= (tptp.d tptp.munich tptp.saarbruecken) 360)) :rule and :premises (t89))
% 0.42/0.60  (step t91 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t92 (cl (= (tptp.d tptp.munich tptp.frankfurt) 300)) :rule and :premises (t91))
% 0.42/0.60  (step t93 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t94 (cl (= (tptp.d tptp.hamburg tptp.berlin) 250)) :rule and :premises (t93))
% 0.42/0.60  (step t95 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t96 (cl (= (tptp.d tptp.hamburg tptp.kiel) 90)) :rule and :premises (t95))
% 0.42/0.60  (step t97 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t98 (cl (= (tptp.d tptp.cologne tptp.frankfurt) 150)) :rule and :premises (t97))
% 0.42/0.60  (step t99 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t100 (cl (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) :rule and :premises (t99))
% 0.42/0.60  (step t101 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t102 (cl (= (tptp.d tptp.hamburg tptp.cologne) 360)) :rule and :premises (t101))
% 0.42/0.60  (step t103 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t104 (cl (= (tptp.d tptp.saarbruecken tptp.cologne) 190)) :rule and :premises (t103))
% 0.42/0.60  (step t105 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t106 (cl (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160)) :rule and :premises (t105))
% 0.42/0.60  (step t107 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t108 (cl (= (tptp.d tptp.berlin tptp.frankfurt) 420)) :rule and :premises (t107))
% 0.42/0.60  (step t109 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t110 (cl (= (tptp.d tptp.berlin tptp.cologne) 480)) :rule and :premises (t109))
% 0.42/0.60  (step t111 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t112 (cl (= (tptp.d tptp.berlin tptp.munich) 510)) :rule and :premises (t111))
% 0.42/0.60  (step t113 (cl (and (= (tptp.d tptp.munich tptp.saarbruecken) 360) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.munich) 510))) :rule resolution :premises (t86 t90 t92 t94 t96 t98 t100 t102 t104 t106 t108 t110 t112))
% 0.42/0.60  (step t114 (cl (= (tptp.d tptp.berlin tptp.munich) 510)) :rule and :premises (t113))
% 0.42/0.60  (step t115 (cl (= 510 510)) :rule refl)
% 0.42/0.60  (step t116 (cl (= (= (tptp.d tptp.berlin tptp.munich) 510) (= 510 510))) :rule cong :premises (t114 t115))
% 0.42/0.60  (step t117 (cl (= (tptp.d tptp.berlin tptp.cologne) 480)) :rule and :premises (t113))
% 0.42/0.60  (step t118 (cl (= 480 480)) :rule refl)
% 0.42/0.60  (step t119 (cl (= (= (tptp.d tptp.berlin tptp.cologne) 480) (= 480 480))) :rule cong :premises (t117 t118))
% 0.42/0.60  (step t120 (cl (= (tptp.d tptp.berlin tptp.frankfurt) 420)) :rule and :premises (t113))
% 0.42/0.60  (step t121 (cl (= 420 420)) :rule refl)
% 0.42/0.60  (step t122 (cl (= (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= 420 420))) :rule cong :premises (t120 t121))
% 0.42/0.60  (step t123 (cl (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160)) :rule and :premises (t113))
% 0.42/0.60  (step t124 (cl (= 160 160)) :rule refl)
% 0.42/0.60  (step t125 (cl (= (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= 160 160))) :rule cong :premises (t123 t124))
% 0.42/0.60  (step t126 (cl (= (tptp.d tptp.saarbruecken tptp.cologne) 190)) :rule and :premises (t113))
% 0.42/0.60  (step t127 (cl (= 190 190)) :rule refl)
% 0.42/0.60  (step t128 (cl (= (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= 190 190))) :rule cong :premises (t126 t127))
% 0.42/0.60  (step t129 (cl (= (tptp.d tptp.hamburg tptp.cologne) 360)) :rule and :premises (t113))
% 0.42/0.60  (step t130 (cl (= 360 360)) :rule refl)
% 0.42/0.60  (step t131 (cl (= (= (tptp.d tptp.hamburg tptp.cologne) 360) (= 360 360))) :rule cong :premises (t129 t130))
% 0.42/0.60  (step t132 (cl (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) :rule and :premises (t113))
% 0.42/0.60  (step t133 (cl (= 390 390)) :rule refl)
% 0.42/0.60  (step t134 (cl (= (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= 390 390))) :rule cong :premises (t132 t133))
% 0.42/0.60  (step t135 (cl (= (tptp.d tptp.cologne tptp.frankfurt) 150)) :rule and :premises (t113))
% 0.42/0.60  (step t136 (cl (= 150 150)) :rule refl)
% 0.42/0.60  (step t137 (cl (= (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= 150 150))) :rule cong :premises (t135 t136))
% 0.42/0.60  (step t138 (cl (= (tptp.d tptp.hamburg tptp.kiel) 90)) :rule and :premises (t113))
% 0.42/0.60  (step t139 (cl (= 90 90)) :rule refl)
% 0.42/0.60  (step t140 (cl (= (= (tptp.d tptp.hamburg tptp.kiel) 90) (= 90 90))) :rule cong :premises (t138 t139))
% 0.42/0.60  (step t141 (cl (= (tptp.d tptp.hamburg tptp.berlin) 250)) :rule and :premises (t113))
% 0.42/0.60  (step t142 (cl (= 250 250)) :rule refl)
% 0.42/0.60  (step t143 (cl (= (= (tptp.d tptp.hamburg tptp.berlin) 250) (= 250 250))) :rule cong :premises (t141 t142))
% 0.42/0.60  (step t144 (cl (= (tptp.d tptp.munich tptp.frankfurt) 300)) :rule and :premises (t113))
% 0.42/0.60  (step t145 (cl (= 300 300)) :rule refl)
% 0.42/0.60  (step t146 (cl (= (= (tptp.d tptp.munich tptp.frankfurt) 300) (= 300 300))) :rule cong :premises (t144 t145))
% 0.42/0.60  (step t147 (cl (= (tptp.d tptp.munich tptp.saarbruecken) 360)) :rule and :premises (t113))
% 0.42/0.60  (step t148 (cl (= (= (tptp.d tptp.munich tptp.saarbruecken) 360) (= 360 360))) :rule cong :premises (t147 t130))
% 0.42/0.60  (step t149 (cl (= (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= 510 510) (= 480 480) (= 420 420) (= 160 160) (= 190 190) (= 360 360) (= 390 390) (= 150 150) (= 90 90) (= 250 250) (= 300 300) (= 360 360)))) :rule cong :premises (t83 t84 t85 t116 t119 t122 t125 t128 t131 t134 t137 t140 t143 t146 t148))
% 0.42/0.60  (step t150 (cl (= (not (>= (tptp.d tptp.hamburg tptp.munich) 701)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))) :rule refl)
% 0.42/0.60  (step t151 (cl (= (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))) (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= 510 510) (= 480 480) (= 420 420) (= 160 160) (= 190 190) (= 360 360) (= 390 390) (= 150 150) (= 90 90) (= 250 250) (= 300 300) (= 360 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))))) :rule cong :premises (t149 t150))
% 0.42/0.60  (step t152 (cl (= (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= 510 510) (= 480 480) (= 420 420) (= 160 160) (= 190 190) (= 360 360) (= 390 390) (= 150 150) (= 90 90) (= 250 250) (= 300 300) (= 360 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))))) :rule cong :premises (t151))
% 0.42/0.60  (step t153 (cl (= (= 510 510) true)) :rule all_simplify)
% 0.42/0.60  (step t154 (cl (= (= 480 480) true)) :rule all_simplify)
% 0.42/0.60  (step t155 (cl (= (= 420 420) true)) :rule all_simplify)
% 0.42/0.60  (step t156 (cl (= (= 160 160) true)) :rule all_simplify)
% 0.42/0.60  (step t157 (cl (= (= 190 190) true)) :rule all_simplify)
% 0.42/0.60  (step t158 (cl (= (= 360 360) true)) :rule all_simplify)
% 0.42/0.60  (step t159 (cl (= (= 390 390) true)) :rule all_simplify)
% 0.42/0.60  (step t160 (cl (= (= 150 150) true)) :rule all_simplify)
% 0.42/0.60  (step t161 (cl (= (= 90 90) true)) :rule all_simplify)
% 0.42/0.60  (step t162 (cl (= (= 250 250) true)) :rule all_simplify)
% 0.42/0.60  (step t163 (cl (= (= 300 300) true)) :rule all_simplify)
% 0.42/0.60  (step t164 (cl (= (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= 510 510) (= 480 480) (= 420 420) (= 160 160) (= 190 190) (= 360 360) (= 390 390) (= 150 150) (= 90 90) (= 250 250) (= 300 300) (= 360 360)) (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) true true true true true true true true true true true true))) :rule cong :premises (t64 t45 t66 t153 t154 t155 t156 t157 t158 t159 t160 t161 t162 t163 t158))
% 0.42/0.60  (step t165 (cl (= (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) true true true true true true true true true true true true) (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0))))) :rule all_simplify)
% 0.42/0.60  (step t166 (cl (= (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= 510 510) (= 480 480) (= 420 420) (= 160 160) (= 190 190) (= 360 360) (= 390 390) (= 150 150) (= 90 90) (= 250 250) (= 300 300) (= 360 360)) (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0))))) :rule trans :premises (t164 t165))
% 0.42/0.60  (step t167 (cl (= (not (>= (tptp.d tptp.hamburg tptp.munich) 701)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))) :rule refl)
% 0.42/0.60  (step t168 (cl (= (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= 510 510) (= 480 480) (= 420 420) (= 160 160) (= 190 190) (= 360 360) (= 390 390) (= 150 150) (= 90 90) (= 250 250) (= 300 300) (= 360 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))) (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0))) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))))) :rule cong :premises (t166 t167))
% 0.42/0.60  (step t169 (cl (= (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= 510 510) (= 480 480) (= 420 420) (= 160 160) (= 190 190) (= 360 360) (= 390 390) (= 150 150) (= 90 90) (= 250 250) (= 300 300) (= 360 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0))) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))))) :rule cong :premises (t168))
% 0.42/0.60  (step t170 (cl (= (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0))) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))))) :rule trans :premises (t152 t169))
% 0.42/0.60  (step t171 (cl (= (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (<= (tptp.d tptp.hamburg tptp.munich) 700))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0))) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))))) :rule trans :premises (t82 t170))
% 0.42/0.60  (step t172 (cl (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0))) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))))) :rule resolution :premises (t63 t171 a0))
% 0.42/0.60  (step t173 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)))) :rule not_implies1 :premises (t172))
% 0.42/0.60  (step t174 (cl (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1)))) :rule and :premises (t173))
% 0.42/0.60  (step t175 (cl (>= (+ (tptp.d tptp.hamburg tptp.frankfurt) (* (- 1) (tptp.d tptp.hamburg tptp.munich)) (tptp.d tptp.frankfurt tptp.munich)) 0)) :rule resolution :premises (t62 t174))
% 0.42/0.60  (step t176 (cl (=> (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X)))) :rule implies_neg1)
% 0.42/0.60  (anchor :step t177)
% 0.42/0.60  (assume t177.a0 (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))))
% 0.42/0.60  (step t177.t1 (cl (or (not (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X)))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)))) :rule forall_inst :args ((:= X tptp.munich) (:= Y tptp.frankfurt)))
% 0.42/0.60  (step t177.t2 (cl (not (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X)))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) :rule or :premises (t177.t1))
% 0.42/0.60  (step t177.t3 (cl (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) :rule resolution :premises (t177.t2 t177.a0))
% 0.42/0.60  (step t177 (cl (not (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X)))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) :rule subproof :discharge (t177.a0))
% 0.42/0.60  (step t178 (cl (=> (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) :rule resolution :premises (t176 t177))
% 0.42/0.60  (step t179 (cl (=> (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) (not (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)))) :rule implies_neg2)
% 0.42/0.60  (step t180 (cl (=> (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) (=> (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)))) :rule resolution :premises (t178 t179))
% 0.42/0.60  (step t181 (cl (=> (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich)))) :rule contraction :premises (t180))
% 0.42/0.60  (step t182 (cl (not (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X)))) (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) :rule implies :premises (t181))
% 0.42/0.60  (step t183 (cl (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X)))) :rule and :premises (t173))
% 0.42/0.60  (step t184 (cl (= (tptp.d tptp.munich tptp.frankfurt) (tptp.d tptp.frankfurt tptp.munich))) :rule resolution :premises (t182 t183))
% 0.42/0.60  (step t185 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X)))) (not (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1)))) (not (forall ((X tptp.city)) (= (tptp.d X X) 0))) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)) (not (= (tptp.d tptp.berlin tptp.munich) 510)) (not (= (tptp.d tptp.berlin tptp.cologne) 480)) (not (= (tptp.d tptp.berlin tptp.frankfurt) 420)) (not (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160)) (not (= (tptp.d tptp.saarbruecken tptp.cologne) 190)) (not (= (tptp.d tptp.hamburg tptp.cologne) 360)) (not (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) (not (= (tptp.d tptp.cologne tptp.frankfurt) 150)) (not (= (tptp.d tptp.hamburg tptp.kiel) 90)) (not (= (tptp.d tptp.hamburg tptp.berlin) 250)) (not (= (tptp.d tptp.munich tptp.frankfurt) 300)) (not (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule and_neg)
% 0.42/0.60  (step t186 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t187 (cl (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X)))) :rule and :premises (t186))
% 0.42/0.60  (step t188 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t189 (cl (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1)))) :rule and :premises (t188))
% 0.42/0.60  (step t190 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule not_implies1 :premises (t88))
% 0.42/0.60  (step t191 (cl (forall ((X tptp.city)) (= (tptp.d X X) 0))) :rule and :premises (t190))
% 0.42/0.60  (step t192 (cl (not (not (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))) (>= (tptp.d tptp.hamburg tptp.munich) 701)) :rule not_not)
% 0.42/0.60  (step t193 (cl (not (= (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (<= (tptp.d tptp.hamburg tptp.munich) 700))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))))) (not (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (<= (tptp.d X Z) (+ (tptp.d X Y) (tptp.d Y Z)))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (<= (tptp.d tptp.hamburg tptp.munich) 700)))) (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))))) :rule equiv_pos2)
% 0.42/0.60  (step t194 (cl (not (=> (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360)) (not (>= (tptp.d tptp.hamburg tptp.munich) 701))))) :rule resolution :premises (t193 t82 a0))
% 0.42/0.60  (step t195 (cl (not (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))) :rule not_implies2 :premises (t194))
% 0.42/0.60  (step t196 (cl (>= (tptp.d tptp.hamburg tptp.munich) 701)) :rule resolution :premises (t192 t195))
% 0.42/0.60  (step t197 (cl (= (tptp.d tptp.berlin tptp.munich) 510)) :rule and :premises (t111))
% 0.42/0.60  (step t198 (cl (= (tptp.d tptp.berlin tptp.cologne) 480)) :rule and :premises (t109))
% 0.42/0.60  (step t199 (cl (= (tptp.d tptp.berlin tptp.frankfurt) 420)) :rule and :premises (t107))
% 0.42/0.60  (step t200 (cl (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160)) :rule and :premises (t105))
% 0.42/0.60  (step t201 (cl (= (tptp.d tptp.saarbruecken tptp.cologne) 190)) :rule and :premises (t103))
% 0.42/0.60  (step t202 (cl (= (tptp.d tptp.hamburg tptp.cologne) 360)) :rule and :premises (t101))
% 0.42/0.60  (step t203 (cl (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) :rule and :premises (t99))
% 0.42/0.60  (step t204 (cl (= (tptp.d tptp.cologne tptp.frankfurt) 150)) :rule and :premises (t97))
% 0.42/0.60  (step t205 (cl (= (tptp.d tptp.hamburg tptp.kiel) 90)) :rule and :premises (t95))
% 0.42/0.60  (step t206 (cl (= (tptp.d tptp.hamburg tptp.berlin) 250)) :rule and :premises (t93))
% 0.42/0.60  (step t207 (cl (= (tptp.d tptp.munich tptp.frankfurt) 300)) :rule and :premises (t91))
% 0.42/0.60  (step t208 (cl (= (tptp.d tptp.munich tptp.saarbruecken) 360)) :rule and :premises (t89))
% 0.42/0.60  (step t209 (cl (and (forall ((X tptp.city) (Y tptp.city)) (= (tptp.d X Y) (tptp.d Y X))) (forall ((X tptp.city) (Y tptp.city) (Z tptp.city)) (not (>= (+ (tptp.d X Z) (* (- 1) (tptp.d X Y)) (* (- 1) (tptp.d Y Z))) 1))) (forall ((X tptp.city)) (= (tptp.d X X) 0)) (>= (tptp.d tptp.hamburg tptp.munich) 701) (= (tptp.d tptp.berlin tptp.munich) 510) (= (tptp.d tptp.berlin tptp.cologne) 480) (= (tptp.d tptp.berlin tptp.frankfurt) 420) (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160) (= (tptp.d tptp.saarbruecken tptp.cologne) 190) (= (tptp.d tptp.hamburg tptp.cologne) 360) (= (tptp.d tptp.hamburg tptp.frankfurt) 390) (= (tptp.d tptp.cologne tptp.frankfurt) 150) (= (tptp.d tptp.hamburg tptp.kiel) 90) (= (tptp.d tptp.hamburg tptp.berlin) 250) (= (tptp.d tptp.munich tptp.frankfurt) 300) (= (tptp.d tptp.munich tptp.saarbruecken) 360))) :rule resolution :premises (t185 t187 t189 t191 t196 t197 t198 t199 t200 t201 t202 t203 t204 t205 t206 t207 t208))
% 0.42/0.60  (step t210 (cl (= (tptp.d tptp.munich tptp.frankfurt) 300)) :rule and :premises (t209))
% 0.42/0.60  (step t211 (cl (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) :rule and :premises (t209))
% 0.42/0.60  (step t212 (cl (not (not (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))) (>= (tptp.d tptp.hamburg tptp.munich) 701)) :rule not_not)
% 0.42/0.60  (step t213 (cl (not (not (>= (tptp.d tptp.hamburg tptp.munich) 701)))) :rule not_implies2 :premises (t172))
% 0.42/0.60  (step t214 (cl (>= (tptp.d tptp.hamburg tptp.munich) 701)) :rule resolution :premises (t212 t213))
% 0.42/0.60  (step t215 (cl) :rule resolution :premises (t43 t175 t184 t210 t211 t214))
% 0.42/0.60  
% 0.42/0.60  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.1EL6cAEF9O/cvc5---1.0.5_12184.smt2
% 0.42/0.61  % cvc5---1.0.5 exiting
% 0.42/0.61  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------