%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN003-4 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 17:09:28 EDT 2024

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14  % Problem    : HEN003-4 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 27 17:02:39 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.19/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.t1emD9QEhY/cvc5---1.0.5_16418.smt2
% 0.19/0.53  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.t1emD9QEhY/cvc5---1.0.5_16418.smt2
% 0.19/0.55  (assume a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))
% 0.19/0.55  (assume a1 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))
% 0.19/0.55  (assume a2 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))
% 0.19/0.55  (assume a3 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))))
% 0.19/0.55  (assume a4 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)))
% 0.19/0.55  (assume a5 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))
% 0.19/0.55  (assume a6 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)))
% 0.19/0.55  (assume a7 (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)))
% 0.19/0.55  (assume a8 (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)))
% 0.19/0.55  (assume a9 (not (= (tptp.divide tptp.a tptp.a) tptp.zero)))
% 0.19/0.55  (step t1 (cl (not (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule or_pos)
% 0.19/0.55  (step t2 (cl (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule reordering :premises (t1))
% 0.19/0.55  (step t3 (cl (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) (not (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule and_neg)
% 0.19/0.55  (step t4 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t5)
% 0.19/0.55  (assume t5.a0 (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))
% 0.19/0.55  (assume t5.a1 (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))
% 0.19/0.55  (assume t5.a2 (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))
% 0.19/0.55  (assume t5.a3 (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))
% 0.19/0.55  (step t5.t1 (cl (=> (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t5.t2)
% 0.19/0.55  (assume t5.t2.a0 (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))
% 0.19/0.55  (assume t5.t2.a1 (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))
% 0.19/0.55  (assume t5.t2.a2 (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))
% 0.19/0.55  (assume t5.t2.a3 (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))
% 0.19/0.55  (step t5.t2.t1 (cl (= (= (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) true) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule equiv_simplify)
% 0.19/0.55  (step t5.t2.t2 (cl (not (= (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) true)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule equiv1 :premises (t5.t2.t1))
% 0.19/0.55  (step t5.t2.t3 (cl (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) tptp.zero)) :rule symm :premises (t5.t2.a3))
% 0.19/0.55  (step t5.t2.t4 (cl (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) :rule trans :premises (t5.t2.t3 t5.t2.a2))
% 0.19/0.55  (step t5.t2.t5 (cl (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) tptp.zero)) :rule symm :premises (t5.t2.a2))
% 0.19/0.55  (step t5.t2.t6 (cl (= (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) tptp.zero)) :rule symm :premises (t5.t2.a1))
% 0.19/0.55  (step t5.t2.t7 (cl (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule symm :premises (t5.t2.t6))
% 0.19/0.55  (step t5.t2.t8 (cl (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule trans :premises (t5.t2.t5 t5.t2.t7))
% 0.19/0.55  (step t5.t2.t9 (cl (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule trans :premises (t5.t2.t4 t5.t2.t8))
% 0.19/0.55  (step t5.t2.t10 (cl (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule refl)
% 0.19/0.55  (step t5.t2.t11 (cl (= (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule cong :premises (t5.t2.t9 t5.t2.t10))
% 0.19/0.55  (step t5.t2.t12 (cl (= (= (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) true) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule equiv_simplify)
% 0.19/0.55  (step t5.t2.t13 (cl (= (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) true) (not (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule equiv2 :premises (t5.t2.t12))
% 0.19/0.55  (step t5.t2.t14 (cl (= (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) true)) :rule resolution :premises (t5.t2.t13 t5.t2.a0))
% 0.19/0.55  (step t5.t2.t15 (cl (= (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) true)) :rule trans :premises (t5.t2.t11 t5.t2.t14))
% 0.19/0.55  (step t5.t2.t16 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t5.t2.t2 t5.t2.t15))
% 0.19/0.55  (step t5.t2 (cl (not (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule subproof :discharge (t5.t2.a0 t5.t2.a1 t5.t2.a2 t5.t2.a3))
% 0.19/0.55  (step t5.t3 (cl (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule and_pos)
% 0.19/0.55  (step t5.t4 (cl (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule and_pos)
% 0.19/0.55  (step t5.t5 (cl (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) :rule and_pos)
% 0.19/0.55  (step t5.t6 (cl (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule and_pos)
% 0.19/0.55  (step t5.t7 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule resolution :premises (t5.t2 t5.t3 t5.t4 t5.t5 t5.t6))
% 0.19/0.55  (step t5.t8 (cl (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule reordering :premises (t5.t7))
% 0.19/0.55  (step t5.t9 (cl (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule contraction :premises (t5.t8))
% 0.19/0.55  (step t5.t10 (cl (=> (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t5.t1 t5.t9))
% 0.19/0.55  (step t5.t11 (cl (=> (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies_neg2)
% 0.19/0.55  (step t5.t12 (cl (=> (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (=> (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t5.t10 t5.t11))
% 0.19/0.55  (step t5.t13 (cl (=> (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule contraction :premises (t5.t12))
% 0.19/0.55  (step t5.t14 (cl (not (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule implies :premises (t5.t13))
% 0.19/0.55  (step t5.t15 (cl (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule and_neg)
% 0.19/0.55  (step t5.t16 (cl (and (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule resolution :premises (t5.t15 t5.a3 t5.a2 t5.a0 t5.a1))
% 0.19/0.55  (step t5.t17 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t5.t14 t5.t16))
% 0.19/0.55  (step t5 (cl (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) (not (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule subproof :discharge (t5.a0 t5.a1 t5.a2 t5.a3))
% 0.19/0.55  (step t6 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) :rule and_pos)
% 0.19/0.55  (step t7 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule and_pos)
% 0.19/0.55  (step t8 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule and_pos)
% 0.19/0.55  (step t9 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule and_pos)
% 0.19/0.55  (step t10 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule resolution :premises (t5 t6 t7 t8 t9))
% 0.19/0.55  (step t11 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule reordering :premises (t10))
% 0.19/0.55  (step t12 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule contraction :premises (t11))
% 0.19/0.55  (step t13 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t4 t12))
% 0.19/0.55  (step t14 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies_neg2)
% 0.19/0.55  (step t15 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t13 t14))
% 0.19/0.55  (step t16 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule contraction :premises (t15))
% 0.19/0.55  (step t17 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule implies :premises (t16))
% 0.19/0.55  (step t18 (cl (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) (not (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t3 t17))
% 0.19/0.55  (step t19 (cl (not (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) :rule or_pos)
% 0.19/0.55  (step t20 (cl (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule reordering :premises (t19))
% 0.19/0.55  (step t21 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t22)
% 0.19/0.55  (assume t22.a0 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))
% 0.19/0.55  (step t22.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.a)))
% 0.19/0.55  (step t22.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) :rule or :premises (t22.t1))
% 0.19/0.55  (step t22.t3 (cl (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) :rule resolution :premises (t22.t2 t22.a0))
% 0.19/0.55  (step t22 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) :rule subproof :discharge (t22.a0))
% 0.19/0.55  (step t23 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) :rule resolution :premises (t21 t22))
% 0.19/0.55  (step t24 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a))) :rule implies_neg2)
% 0.19/0.55  (step t25 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a))) :rule resolution :premises (t23 t24))
% 0.19/0.55  (step t26 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a))) :rule contraction :premises (t25))
% 0.19/0.55  (step t27 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) :rule implies :premises (t26))
% 0.19/0.55  (step t28 (cl (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) :rule resolution :premises (t27 a2))
% 0.19/0.55  (step t29 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t30)
% 0.19/0.55  (assume t30.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))
% 0.19/0.55  (step t30.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule forall_inst :args ((:= X (tptp.divide tptp.a tptp.a)) (:= Y tptp.a)))
% 0.19/0.55  (step t30.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule or :premises (t30.t1))
% 0.19/0.55  (step t30.t3 (cl (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t30.t2 t30.a0))
% 0.19/0.55  (step t30 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule subproof :discharge (t30.a0))
% 0.19/0.55  (step t31 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t29 t30))
% 0.19/0.55  (step t32 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies_neg2)
% 0.19/0.55  (step t33 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t31 t32))
% 0.19/0.55  (step t34 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule contraction :premises (t33))
% 0.19/0.55  (step t35 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule implies :premises (t34))
% 0.19/0.55  (step t36 (cl (not (= (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) :rule equiv_pos2)
% 0.19/0.55  (anchor :step t37 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 0.19/0.55  (step t37.t1 (cl (= X X)) :rule refl)
% 0.19/0.55  (step t37.t2 (cl (= Y Y)) :rule refl)
% 0.19/0.55  (step t37.t3 (cl (= (not (tptp.less_equal X Y)) (not (tptp.less_equal X Y)))) :rule refl)
% 0.19/0.55  (step t37.t4 (cl (= (= (tptp.divide X Y) tptp.zero) (= tptp.zero (tptp.divide X Y)))) :rule all_simplify)
% 0.19/0.55  (step t37.t5 (cl (= (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) :rule cong :premises (t37.t3 t37.t4))
% 0.19/0.55  (step t37 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) :rule bind)
% 0.19/0.55  (step t38 (cl (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) :rule resolution :premises (t36 t37 a0))
% 0.19/0.55  (step t39 (cl (or (not (tptp.less_equal (tptp.divide tptp.a tptp.a) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t35 t38))
% 0.19/0.55  (step t40 (cl (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) :rule resolution :premises (t20 t28 t39))
% 0.19/0.55  (step t41 (cl (not (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule or_pos)
% 0.19/0.55  (step t42 (cl (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule reordering :premises (t41))
% 0.19/0.55  (step t43 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t44)
% 0.19/0.55  (assume t44.a0 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))
% 0.19/0.55  (step t44.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.divide tptp.a tptp.a))))
% 0.19/0.55  (step t44.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) :rule or :premises (t44.t1))
% 0.19/0.55  (step t44.t3 (cl (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) :rule resolution :premises (t44.t2 t44.a0))
% 0.19/0.55  (step t44 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) :rule subproof :discharge (t44.a0))
% 0.19/0.55  (step t45 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) :rule resolution :premises (t43 t44))
% 0.19/0.55  (step t46 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule implies_neg2)
% 0.19/0.55  (step t47 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule resolution :premises (t45 t46))
% 0.19/0.55  (step t48 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule contraction :premises (t47))
% 0.19/0.55  (step t49 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) :rule implies :premises (t48))
% 0.19/0.55  (step t50 (cl (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) :rule resolution :premises (t49 a2))
% 0.19/0.55  (step t51 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t52)
% 0.19/0.55  (assume t52.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))
% 0.19/0.55  (step t52.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule forall_inst :args ((:= X (tptp.divide tptp.a (tptp.divide tptp.a tptp.a))) (:= Y tptp.a)))
% 0.19/0.55  (step t52.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule or :premises (t52.t1))
% 0.19/0.55  (step t52.t3 (cl (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule resolution :premises (t52.t2 t52.a0))
% 0.19/0.55  (step t52 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule subproof :discharge (t52.a0))
% 0.19/0.55  (step t53 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule resolution :premises (t51 t52))
% 0.19/0.55  (step t54 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (not (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule implies_neg2)
% 0.19/0.55  (step t55 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule resolution :premises (t53 t54))
% 0.19/0.55  (step t56 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule contraction :premises (t55))
% 0.19/0.55  (step t57 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule implies :premises (t56))
% 0.19/0.55  (step t58 (cl (or (not (tptp.less_equal (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule resolution :premises (t57 t38))
% 0.19/0.55  (step t59 (cl (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule resolution :premises (t42 t50 t58))
% 0.19/0.55  (step t60 (cl (not (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule or_pos)
% 0.19/0.55  (step t61 (cl (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (not (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))))) :rule reordering :premises (t60))
% 0.19/0.55  (step t62 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t63)
% 0.19/0.55  (assume t63.a0 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))
% 0.19/0.55  (step t63.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule forall_inst :args ((:= X (tptp.divide tptp.a tptp.a)) (:= Y (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))
% 0.19/0.55  (step t63.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) :rule or :premises (t63.t1))
% 0.19/0.55  (step t63.t3 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) :rule resolution :premises (t63.t2 t63.a0))
% 0.19/0.55  (step t63 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) :rule subproof :discharge (t63.a0))
% 0.19/0.55  (step t64 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) :rule resolution :premises (t62 t63))
% 0.19/0.55  (step t65 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule implies_neg2)
% 0.19/0.55  (step t66 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule resolution :premises (t64 t65))
% 0.19/0.55  (step t67 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule contraction :premises (t66))
% 0.19/0.55  (step t68 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) :rule implies :premises (t67))
% 0.19/0.55  (step t69 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) :rule resolution :premises (t68 a2))
% 0.19/0.55  (step t70 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t71)
% 0.19/0.55  (assume t71.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))
% 0.19/0.55  (step t71.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))))) :rule forall_inst :args ((:= X (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (:= Y (tptp.divide tptp.a tptp.a))))
% 0.19/0.55  (step t71.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) :rule or :premises (t71.t1))
% 0.19/0.55  (step t71.t3 (cl (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) :rule resolution :premises (t71.t2 t71.a0))
% 0.19/0.55  (step t71 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) :rule subproof :discharge (t71.a0))
% 0.19/0.55  (step t72 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) :rule resolution :premises (t70 t71))
% 0.19/0.55  (step t73 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) (not (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))))) :rule implies_neg2)
% 0.19/0.55  (step t74 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))))) :rule resolution :premises (t72 t73))
% 0.19/0.55  (step t75 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))))) :rule contraction :premises (t74))
% 0.19/0.55  (step t76 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y))))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) :rule implies :premises (t75))
% 0.19/0.55  (step t77 (cl (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a))))) :rule resolution :premises (t76 t38))
% 0.19/0.55  (step t78 (cl (= tptp.zero (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)))) :rule resolution :premises (t61 t69 t77))
% 0.19/0.55  (step t79 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t80)
% 0.19/0.55  (assume t80.a0 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))
% 0.19/0.55  (step t80.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule forall_inst :args ((:= X (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (:= Y (tptp.divide tptp.a tptp.a))))
% 0.19/0.55  (step t80.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule or :premises (t80.t1))
% 0.19/0.55  (step t80.t3 (cl (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t80.t2 t80.a0))
% 0.19/0.55  (step t80 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule subproof :discharge (t80.a0))
% 0.19/0.55  (step t81 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t79 t80))
% 0.19/0.55  (step t82 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies_neg2)
% 0.19/0.55  (step t83 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t81 t82))
% 0.19/0.55  (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule contraction :premises (t83))
% 0.19/0.55  (step t85 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule implies :premises (t84))
% 0.19/0.55  (step t86 (cl (tptp.less_equal (tptp.divide (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide tptp.a tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t85 a2))
% 0.19/0.55  (step t87 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t18 t40 t59 t78 t86))
% 0.19/0.55  (step t88 (cl (not (= (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))))) (not (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule equiv_pos2)
% 0.19/0.55  (step t89 (cl (= (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule refl)
% 0.19/0.55  (step t90 (cl (= (= (= (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) true) (= (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule equiv_simplify)
% 0.19/0.55  (step t91 (cl (not (= (= (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) true)) (= (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule equiv1 :premises (t90))
% 0.19/0.55  (step t92 (cl (= (= (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))))) :rule all_simplify)
% 0.19/0.55  (step t93 (cl (= (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule refl)
% 0.19/0.55  (step t94 (cl (= (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule all_simplify)
% 0.19/0.55  (step t95 (cl (= (= (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (= (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule cong :premises (t93 t94))
% 0.19/0.55  (step t96 (cl (= (= (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) true)) :rule all_simplify)
% 0.19/0.55  (step t97 (cl (= (= (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) true)) :rule trans :premises (t95 t96))
% 0.19/0.55  (step t98 (cl (= (= (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) true)) :rule trans :premises (t92 t97))
% 0.19/0.55  (step t99 (cl (= (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t91 t98))
% 0.19/0.55  (step t100 (cl (= (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule refl)
% 0.19/0.55  (step t101 (cl (= (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))))) :rule cong :premises (t89 t99 t100))
% 0.19/0.55  (step t102 (cl (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule and_neg)
% 0.19/0.55  (step t103 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t104)
% 0.19/0.55  (assume t104.a0 (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))
% 0.19/0.55  (assume t104.a1 (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))
% 0.19/0.55  (step t104.t1 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t104.t2)
% 0.19/0.55  (assume t104.t2.a0 (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))
% 0.19/0.55  (assume t104.t2.a1 (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))
% 0.19/0.55  (step t104.t2.t1 (cl (= (= (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) false) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule equiv_simplify)
% 0.19/0.55  (step t104.t2.t2 (cl (not (= (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) false)) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule equiv1 :premises (t104.t2.t1))
% 0.19/0.55  (step t104.t2.t3 (cl (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) tptp.zero)) :rule symm :premises (t104.t2.a0))
% 0.19/0.55  (step t104.t2.t4 (cl (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule refl)
% 0.19/0.55  (step t104.t2.t5 (cl (= (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule cong :premises (t104.t2.t3 t104.t2.t4))
% 0.19/0.55  (step t104.t2.t6 (cl (= (= (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) false) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule equiv_simplify)
% 0.19/0.55  (step t104.t2.t7 (cl (= (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) false) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule equiv2 :premises (t104.t2.t6))
% 0.19/0.55  (step t104.t2.t8 (cl (not (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule not_not)
% 0.19/0.55  (step t104.t2.t9 (cl (= (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) false) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t104.t2.t7 t104.t2.t8))
% 0.19/0.55  (step t104.t2.t10 (cl (= (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) false)) :rule resolution :premises (t104.t2.t9 t104.t2.a1))
% 0.19/0.55  (step t104.t2.t11 (cl (= (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) false)) :rule trans :premises (t104.t2.t5 t104.t2.t10))
% 0.19/0.55  (step t104.t2.t12 (cl (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t104.t2.t2 t104.t2.t11))
% 0.19/0.55  (step t104.t2 (cl (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule subproof :discharge (t104.t2.a0 t104.t2.a1))
% 0.19/0.55  (step t104.t3 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule and_pos)
% 0.19/0.55  (step t104.t4 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule and_pos)
% 0.19/0.55  (step t104.t5 (cl (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))))) :rule resolution :premises (t104.t2 t104.t3 t104.t4))
% 0.19/0.55  (step t104.t6 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule reordering :premises (t104.t5))
% 0.19/0.55  (step t104.t7 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule contraction :premises (t104.t6))
% 0.19/0.55  (step t104.t8 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t104.t1 t104.t7))
% 0.19/0.55  (step t104.t9 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule implies_neg2)
% 0.19/0.55  (step t104.t10 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule resolution :premises (t104.t8 t104.t9))
% 0.19/0.55  (step t104.t11 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule contraction :premises (t104.t10))
% 0.19/0.55  (step t104.t12 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies :premises (t104.t11))
% 0.19/0.55  (step t104.t13 (cl (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule and_neg)
% 0.19/0.55  (step t104.t14 (cl (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule resolution :premises (t104.t13 t104.a0 t104.a1))
% 0.19/0.55  (step t104.t15 (cl (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t104.t12 t104.t14))
% 0.19/0.55  (step t104 (cl (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule subproof :discharge (t104.a0 t104.a1))
% 0.19/0.55  (step t105 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule and_pos)
% 0.19/0.55  (step t106 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule and_pos)
% 0.19/0.55  (step t107 (cl (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))))) :rule resolution :premises (t104 t105 t106))
% 0.19/0.55  (step t108 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule reordering :premises (t107))
% 0.19/0.55  (step t109 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule contraction :premises (t108))
% 0.19/0.55  (step t110 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t103 t109))
% 0.19/0.55  (step t111 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule implies_neg2)
% 0.19/0.55  (step t112 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule resolution :premises (t110 t111))
% 0.19/0.55  (step t113 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule contraction :premises (t112))
% 0.19/0.55  (step t114 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies :premises (t113))
% 0.19/0.55  (step t115 (cl (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t102 t114))
% 0.19/0.55  (step t116 (cl (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule or_neg)
% 0.19/0.55  (step t117 (cl (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))))) :rule or_neg)
% 0.19/0.55  (step t118 (cl (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule or_neg)
% 0.19/0.55  (step t119 (cl (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule resolution :premises (t115 t116 t117 t118))
% 0.19/0.55  (step t120 (cl (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule contraction :premises (t119))
% 0.19/0.55  (step t121 (cl (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule resolution :premises (t88 t101 t120))
% 0.19/0.55  (step t122 (cl (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule or :premises (t121))
% 0.19/0.55  (step t123 (cl (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule reordering :premises (t122))
% 0.19/0.55  (step t124 (cl (not (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) :rule or_pos)
% 0.19/0.55  (step t125 (cl (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule reordering :premises (t124))
% 0.19/0.55  (step t126 (cl (not (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) :rule or_pos)
% 0.19/0.55  (step t127 (cl (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule reordering :premises (t126))
% 0.19/0.55  (step t128 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t129)
% 0.19/0.55  (assume t129.a0 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))
% 0.19/0.55  (step t129.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) :rule forall_inst :args ((:= X (tptp.divide tptp.a tptp.a)) (:= Y tptp.a)))
% 0.19/0.55  (step t129.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) :rule or :premises (t129.t1))
% 0.19/0.55  (step t129.t3 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) :rule resolution :premises (t129.t2 t129.a0))
% 0.19/0.55  (step t129 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) :rule subproof :discharge (t129.a0))
% 0.19/0.55  (step t130 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) :rule resolution :premises (t128 t129))
% 0.19/0.55  (step t131 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) :rule implies_neg2)
% 0.19/0.55  (step t132 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) :rule resolution :premises (t130 t131))
% 0.19/0.55  (step t133 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) :rule contraction :premises (t132))
% 0.19/0.55  (step t134 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) :rule implies :premises (t133))
% 0.19/0.55  (step t135 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) :rule resolution :premises (t134 a2))
% 0.19/0.55  (step t136 (cl (not (= (or (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (or (= tptp.zero (tptp.divide tptp.a tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (or (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) (or (= tptp.zero (tptp.divide tptp.a tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule equiv_pos2)
% 0.19/0.55  (step t137 (cl (= (= (= (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (= tptp.zero (tptp.divide tptp.a tptp.a))) true) (= (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (= tptp.zero (tptp.divide tptp.a tptp.a))))) :rule equiv_simplify)
% 0.19/0.55  (step t138 (cl (not (= (= (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (= tptp.zero (tptp.divide tptp.a tptp.a))) true)) (= (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (= tptp.zero (tptp.divide tptp.a tptp.a)))) :rule equiv1 :premises (t137))
% 0.19/0.55  (step t139 (cl (= (= (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (= tptp.zero (tptp.divide tptp.a tptp.a))) (= (= tptp.zero (tptp.divide tptp.a tptp.a)) (not (not (= tptp.zero (tptp.divide tptp.a tptp.a))))))) :rule all_simplify)
% 0.19/0.55  (step t140 (cl (= (= tptp.zero (tptp.divide tptp.a tptp.a)) (= tptp.zero (tptp.divide tptp.a tptp.a)))) :rule refl)
% 0.19/0.55  (step t141 (cl (= (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (= tptp.zero (tptp.divide tptp.a tptp.a)))) :rule all_simplify)
% 0.19/0.55  (step t142 (cl (= (= (= tptp.zero (tptp.divide tptp.a tptp.a)) (not (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) (= (= tptp.zero (tptp.divide tptp.a tptp.a)) (= tptp.zero (tptp.divide tptp.a tptp.a))))) :rule cong :premises (t140 t141))
% 0.19/0.55  (step t143 (cl (= (= (= tptp.zero (tptp.divide tptp.a tptp.a)) (= tptp.zero (tptp.divide tptp.a tptp.a))) true)) :rule all_simplify)
% 0.19/0.55  (step t144 (cl (= (= (= tptp.zero (tptp.divide tptp.a tptp.a)) (not (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) true)) :rule trans :premises (t142 t143))
% 0.19/0.55  (step t145 (cl (= (= (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (= tptp.zero (tptp.divide tptp.a tptp.a))) true)) :rule trans :premises (t139 t144))
% 0.19/0.55  (step t146 (cl (= (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (= tptp.zero (tptp.divide tptp.a tptp.a)))) :rule resolution :premises (t138 t145))
% 0.19/0.55  (step t147 (cl (= (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule refl)
% 0.19/0.55  (step t148 (cl (= (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule refl)
% 0.19/0.55  (step t149 (cl (= (or (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (or (= tptp.zero (tptp.divide tptp.a tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule cong :premises (t146 t147 t148))
% 0.19/0.55  (step t150 (cl (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule and_neg)
% 0.19/0.55  (step t151 (cl (=> (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t152)
% 0.19/0.55  (assume t152.a0 (not (= tptp.zero (tptp.divide tptp.a tptp.a))))
% 0.19/0.55  (assume t152.a1 (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))
% 0.19/0.55  (step t152.t1 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t152.t2)
% 0.19/0.55  (assume t152.t2.a0 (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))
% 0.19/0.55  (assume t152.t2.a1 (not (= tptp.zero (tptp.divide tptp.a tptp.a))))
% 0.19/0.55  (step t152.t2.t1 (cl (= (= (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) false) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule equiv_simplify)
% 0.19/0.55  (step t152.t2.t2 (cl (not (= (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) false)) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule equiv1 :premises (t152.t2.t1))
% 0.19/0.55  (step t152.t2.t3 (cl (not (= (= (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)) false) (= (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) false))) (not (= (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)) false)) (= (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) false)) :rule equiv_pos2)
% 0.19/0.55  (step t152.t2.t4 (cl (= (= (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)) false) (not (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))))) :rule all_simplify)
% 0.19/0.55  (step t152.t2.t5 (cl (= (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule all_simplify)
% 0.19/0.55  (step t152.t2.t6 (cl (= (not (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule cong :premises (t152.t2.t5))
% 0.19/0.55  (step t152.t2.t7 (cl (= (= (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)) false) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule trans :premises (t152.t2.t4 t152.t2.t6))
% 0.19/0.55  (step t152.t2.t8 (cl (= (= (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) false) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule all_simplify)
% 0.19/0.55  (step t152.t2.t9 (cl (= (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) false))) :rule symm :premises (t152.t2.t8))
% 0.19/0.55  (step t152.t2.t10 (cl (= (= (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)) false) (= (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) false))) :rule trans :premises (t152.t2.t7 t152.t2.t9))
% 0.19/0.55  (step t152.t2.t11 (cl (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) tptp.zero)) :rule symm :premises (t152.t2.a0))
% 0.19/0.55  (step t152.t2.t12 (cl (= (tptp.divide tptp.a tptp.a) (tptp.divide tptp.a tptp.a))) :rule refl)
% 0.19/0.55  (step t152.t2.t13 (cl (= (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)) (= tptp.zero (tptp.divide tptp.a tptp.a)))) :rule cong :premises (t152.t2.t11 t152.t2.t12))
% 0.19/0.55  (step t152.t2.t14 (cl (= (= (= tptp.zero (tptp.divide tptp.a tptp.a)) false) (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) :rule equiv_simplify)
% 0.19/0.55  (step t152.t2.t15 (cl (= (= tptp.zero (tptp.divide tptp.a tptp.a)) false) (not (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) :rule equiv2 :premises (t152.t2.t14))
% 0.19/0.55  (step t152.t2.t16 (cl (not (not (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) (= tptp.zero (tptp.divide tptp.a tptp.a))) :rule not_not)
% 0.19/0.55  (step t152.t2.t17 (cl (= (= tptp.zero (tptp.divide tptp.a tptp.a)) false) (= tptp.zero (tptp.divide tptp.a tptp.a))) :rule resolution :premises (t152.t2.t15 t152.t2.t16))
% 0.19/0.55  (step t152.t2.t18 (cl (= (= tptp.zero (tptp.divide tptp.a tptp.a)) false)) :rule resolution :premises (t152.t2.t17 t152.t2.a1))
% 0.19/0.55  (step t152.t2.t19 (cl (= (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)) false)) :rule trans :premises (t152.t2.t13 t152.t2.t18))
% 0.19/0.55  (step t152.t2.t20 (cl (= (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) false)) :rule resolution :premises (t152.t2.t3 t152.t2.t10 t152.t2.t19))
% 0.19/0.55  (step t152.t2.t21 (cl (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t152.t2.t2 t152.t2.t20))
% 0.19/0.55  (step t152.t2 (cl (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule subproof :discharge (t152.t2.a0 t152.t2.a1))
% 0.19/0.55  (step t152.t3 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) :rule and_pos)
% 0.19/0.55  (step t152.t4 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) :rule and_pos)
% 0.19/0.55  (step t152.t5 (cl (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a)))))) :rule resolution :premises (t152.t2 t152.t3 t152.t4))
% 0.19/0.55  (step t152.t6 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule reordering :premises (t152.t5))
% 0.19/0.55  (step t152.t7 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule contraction :premises (t152.t6))
% 0.19/0.55  (step t152.t8 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t152.t1 t152.t7))
% 0.19/0.55  (step t152.t9 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies_neg2)
% 0.19/0.55  (step t152.t10 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t152.t8 t152.t9))
% 0.19/0.55  (step t152.t11 (cl (=> (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule contraction :premises (t152.t10))
% 0.19/0.55  (step t152.t12 (cl (not (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule implies :premises (t152.t11))
% 0.19/0.55  (step t152.t13 (cl (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) :rule and_neg)
% 0.19/0.55  (step t152.t14 (cl (and (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (not (= tptp.zero (tptp.divide tptp.a tptp.a))))) :rule resolution :premises (t152.t13 t152.a1 t152.a0))
% 0.19/0.55  (step t152.t15 (cl (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t152.t12 t152.t14))
% 0.19/0.55  (step t152 (cl (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule subproof :discharge (t152.a0 t152.a1))
% 0.19/0.55  (step t153 (cl (not (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) :rule and_pos)
% 0.19/0.55  (step t154 (cl (not (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) :rule and_pos)
% 0.19/0.55  (step t155 (cl (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t152 t153 t154))
% 0.19/0.55  (step t156 (cl (not (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule reordering :premises (t155))
% 0.19/0.55  (step t157 (cl (not (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule contraction :premises (t156))
% 0.19/0.55  (step t158 (cl (=> (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t151 t157))
% 0.19/0.55  (step t159 (cl (=> (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies_neg2)
% 0.19/0.55  (step t160 (cl (=> (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (=> (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t158 t159))
% 0.19/0.55  (step t161 (cl (=> (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule contraction :premises (t160))
% 0.19/0.55  (step t162 (cl (not (and (not (= tptp.zero (tptp.divide tptp.a tptp.a))) (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule implies :premises (t161))
% 0.19/0.55  (step t163 (cl (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t150 t162))
% 0.19/0.55  (step t164 (cl (or (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))))) :rule or_neg)
% 0.19/0.55  (step t165 (cl (or (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule or_neg)
% 0.19/0.55  (step t166 (cl (or (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule or_neg)
% 0.19/0.55  (step t167 (cl (or (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (or (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (or (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t163 t164 t165 t166))
% 0.19/0.55  (step t168 (cl (or (not (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule contraction :premises (t167))
% 0.19/0.55  (step t169 (cl (or (= tptp.zero (tptp.divide tptp.a tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t136 t149 t168))
% 0.19/0.55  (step t170 (cl (= tptp.zero (tptp.divide tptp.a tptp.a)) (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule or :premises (t169))
% 0.19/0.55  (step t171 (cl (not (= tptp.zero (tptp.divide tptp.a tptp.a)))) :rule not_symm :premises (a9))
% 0.19/0.55  (step t172 (cl (not (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t170 t171 t40))
% 0.19/0.55  (step t173 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule equiv_pos2)
% 0.19/0.55  (step t174 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) :rule refl)
% 0.19/0.55  (step t175 (cl (= (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))))) :rule refl)
% 0.19/0.55  (step t176 (cl (= (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule refl)
% 0.19/0.55  (step t177 (cl (= (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule all_simplify)
% 0.19/0.55  (step t178 (cl (= (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule cong :premises (t175 t176 t177))
% 0.19/0.55  (step t179 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule cong :premises (t174 t178))
% 0.19/0.55  (step t180 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y)))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t181)
% 0.19/0.55  (assume t181.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))
% 0.19/0.55  (step t181.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))))) :rule forall_inst :args ((:= X (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (:= Y (tptp.divide tptp.a tptp.a))))
% 0.19/0.55  (step t181.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) :rule or :premises (t181.t1))
% 0.19/0.55  (step t181.t3 (cl (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) :rule resolution :premises (t181.t2 t181.a0))
% 0.19/0.55  (step t181 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) :rule subproof :discharge (t181.a0))
% 0.19/0.55  (step t182 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) :rule resolution :premises (t180 t181))
% 0.19/0.55  (step t183 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) (not (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))))) :rule implies_neg2)
% 0.19/0.55  (step t184 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))))) :rule resolution :premises (t182 t183))
% 0.19/0.55  (step t185 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))))) :rule contraction :premises (t184))
% 0.19/0.55  (step t186 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t173 t179 t185))
% 0.19/0.55  (step t187 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule implies :premises (t186))
% 0.19/0.55  (step t188 (cl (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a) (tptp.divide tptp.a tptp.a))) (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (= (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t187 a5))
% 0.19/0.55  (step t189 (cl (not (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t127 t135 t172 t188))
% 0.19/0.55  (step t190 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y)))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t191)
% 0.19/0.55  (assume t191.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))
% 0.19/0.55  (step t191.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y)))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule forall_inst :args ((:= X (tptp.divide tptp.a tptp.a)) (:= Y (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))
% 0.19/0.55  (step t191.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y)))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule or :premises (t191.t1))
% 0.19/0.55  (step t191.t3 (cl (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t191.t2 t191.a0))
% 0.19/0.55  (step t191 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y)))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule subproof :discharge (t191.a0))
% 0.19/0.55  (step t192 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t190 t191))
% 0.19/0.55  (step t193 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies_neg2)
% 0.19/0.55  (step t194 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t192 t193))
% 0.19/0.55  (step t195 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule contraction :premises (t194))
% 0.19/0.55  (step t196 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y)))) (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule implies :premises (t195))
% 0.19/0.55  (step t197 (cl (not (= (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y)))) :rule equiv_pos2)
% 0.19/0.55  (anchor :step t198 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 0.19/0.55  (step t198.t1 (cl (= X X)) :rule refl)
% 0.19/0.55  (step t198.t2 (cl (= Y Y)) :rule refl)
% 0.19/0.55  (step t198.t3 (cl (= (= (tptp.divide X Y) tptp.zero) (= tptp.zero (tptp.divide X Y)))) :rule all_simplify)
% 0.19/0.55  (step t198.t4 (cl (= (not (= (tptp.divide X Y) tptp.zero)) (not (= tptp.zero (tptp.divide X Y))))) :rule cong :premises (t198.t3))
% 0.19/0.55  (step t198.t5 (cl (= (tptp.less_equal X Y) (tptp.less_equal X Y))) :rule refl)
% 0.19/0.55  (step t198.t6 (cl (= (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y)))) :rule cong :premises (t198.t4 t198.t5))
% 0.19/0.55  (step t198 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) :rule bind)
% 0.19/0.55  (step t199 (cl (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y)))) :rule resolution :premises (t197 t198 a1))
% 0.19/0.55  (step t200 (cl (or (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (tptp.less_equal (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) :rule resolution :premises (t196 t199))
% 0.19/0.55  (step t201 (cl (not (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t125 t189 t200))
% 0.19/0.55  (step t202 (cl (not (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t123 t201 t59))
% 0.19/0.55  (step t203 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule equiv_pos2)
% 0.19/0.55  (step t204 (cl (= (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule refl)
% 0.19/0.55  (step t205 (cl (= (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule refl)
% 0.19/0.55  (step t206 (cl (= (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule all_simplify)
% 0.19/0.55  (step t207 (cl (= (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule cong :premises (t204 t205 t206))
% 0.19/0.55  (step t208 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))))) :rule cong :premises (t174 t207))
% 0.19/0.55  (step t209 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y)))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t210)
% 0.19/0.55  (assume t210.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))
% 0.19/0.55  (step t210.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule forall_inst :args ((:= X (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))) (:= Y (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))
% 0.19/0.55  (step t210.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule or :premises (t210.t1))
% 0.19/0.55  (step t210.t3 (cl (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule resolution :premises (t210.t2 t210.a0))
% 0.19/0.55  (step t210 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule subproof :discharge (t210.a0))
% 0.19/0.55  (step t211 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule resolution :premises (t209 t210))
% 0.19/0.55  (step t212 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (not (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule implies_neg2)
% 0.19/0.55  (step t213 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule resolution :premises (t211 t212))
% 0.19/0.55  (step t214 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))))) :rule contraction :premises (t213))
% 0.19/0.55  (step t215 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))))) :rule resolution :premises (t203 t208 t214))
% 0.19/0.55  (step t216 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y)))) (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule implies :premises (t215))
% 0.19/0.55  (step t217 (cl (or (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)))) (= (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a))))) :rule resolution :premises (t216 a5))
% 0.19/0.55  (step t218 (cl (=> (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)))) :rule implies_neg1)
% 0.19/0.55  (anchor :step t219)
% 0.19/0.55  (assume t219.a0 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))))
% 0.19/0.55  (step t219.t1 (cl (or (not (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule forall_inst :args ((:= X tptp.a) (:= Z tptp.a) (:= Y (tptp.divide tptp.a tptp.a))))
% 0.19/0.55  (step t219.t2 (cl (not (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule or :premises (t219.t1))
% 0.19/0.55  (step t219.t3 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule resolution :premises (t219.t2 t219.a0))
% 0.19/0.55  (step t219 (cl (not (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule subproof :discharge (t219.a0))
% 0.19/0.55  (step t220 (cl (=> (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule resolution :premises (t218 t219))
% 0.19/0.55  (step t221 (cl (=> (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (not (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule implies_neg2)
% 0.19/0.55  (step t222 (cl (=> (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) (=> (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule resolution :premises (t220 t221))
% 0.19/0.55  (step t223 (cl (=> (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a)))) :rule contraction :premises (t222))
% 0.19/0.55  (step t224 (cl (not (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)))) (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule implies :premises (t223))
% 0.19/0.55  (step t225 (cl (tptp.less_equal (tptp.divide (tptp.divide tptp.a tptp.a) (tptp.divide (tptp.divide tptp.a tptp.a) tptp.a)) (tptp.divide (tptp.divide tptp.a (tptp.divide tptp.a tptp.a)) tptp.a))) :rule resolution :premises (t224 a3))
% 0.19/0.55  (step t226 (cl) :rule resolution :premises (t2 t87 t202 t217 t225))
% 0.19/0.55  
% 0.19/0.55  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.t1emD9QEhY/cvc5---1.0.5_16418.smt2
% 0.19/0.55  % cvc5---1.0.5 exiting
% 0.19/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------