%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUN133-1 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n007.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 17:37:56 EDT 2024

% Result   : Unsatisfiable 0.47s 0.69s
% Output   : Proof 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUN133-1 : TPTP v8.2.0. Released v8.1.0.
% 0.08/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 26 01:24:24 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.47/0.69  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.pRaaBfeIc6/cvc5---1.0.5_27979.smt2
% 0.47/0.69  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.pRaaBfeIc6/cvc5---1.0.5_27979.smt2
% 0.47/0.72  (assume a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))))
% 0.47/0.72  (assume a1 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))))
% 0.47/0.72  (assume a2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))))
% 0.47/0.72  (assume a3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (tptp.times Y Z)) (tptp.times (tptp.times X Y) Z))))
% 0.47/0.72  (assume a4 (forall ((X $$unsorted)) (= (|tptp.'+'| X tptp.zero) X)))
% 0.47/0.72  (assume a5 (forall ((X $$unsorted)) (= (tptp.times X tptp.zero) tptp.zero)))
% 0.47/0.72  (assume a6 (forall ((X $$unsorted)) (= (tptp.times X tptp.one) X)))
% 0.47/0.72  (assume a7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))))
% 0.47/0.72  (assume a8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z)))))
% 0.47/0.72  (assume a9 (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| (tptp.s X) Y) (tptp.s (|tptp.'+'| X Y)))))
% 0.47/0.72  (assume a10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))))
% 0.47/0.72  (assume a11 (= (tptp.sum tptp.zero) tptp.zero))
% 0.47/0.72  (assume a12 (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N)))))
% 0.47/0.72  (assume a13 (= (tptp.cubes tptp.zero) tptp.zero))
% 0.47/0.72  (assume a14 (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N)))))
% 0.47/0.72  (assume a15 (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N)))))
% 0.47/0.72  (assume a16 (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))
% 0.47/0.72  (assume a17 (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))
% 0.47/0.72  (step t1 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z)))) :rule implies_neg1)
% 0.47/0.72  (anchor :step t2)
% 0.47/0.72  (assume t2.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))))
% 0.47/0.72  (step t2.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z)))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule forall_inst :args ((:= X (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a))) (:= Y (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (:= Z (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))
% 0.47/0.72  (step t2.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z)))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule or :premises (t2.t1))
% 0.47/0.72  (step t2.t3 (cl (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule resolution :premises (t2.t2 t2.a0))
% 0.47/0.72  (step t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z)))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule subproof :discharge (t2.a0))
% 0.47/0.72  (step t3 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule resolution :premises (t1 t2))
% 0.47/0.72  (step t4 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule implies_neg2)
% 0.47/0.72  (step t5 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule resolution :premises (t3 t4))
% 0.47/0.72  (step t6 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule contraction :premises (t5))
% 0.47/0.72  (step t7 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z)))) (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule implies :premises (t6))
% 0.47/0.72  (step t8 (cl (not (= (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))))) (not (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule equiv_pos2)
% 0.47/0.72  (step t9 (cl (= (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))))) :rule refl)
% 0.47/0.72  (step t10 (cl (= (= (= (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) true) (= (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))) :rule equiv_simplify)
% 0.47/0.72  (step t11 (cl (not (= (= (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) true)) (= (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) :rule equiv1 :premises (t10))
% 0.47/0.72  (step t12 (cl (= (= (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))))) :rule all_simplify)
% 0.47/0.72  (step t13 (cl (= (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) :rule refl)
% 0.47/0.72  (step t14 (cl (= (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) :rule all_simplify)
% 0.47/0.72  (step t15 (cl (= (= (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))) (= (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))) :rule cong :premises (t13 t14))
% 0.47/0.72  (step t16 (cl (= (= (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) true)) :rule all_simplify)
% 0.47/0.72  (step t17 (cl (= (= (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))) true)) :rule trans :premises (t15 t16))
% 0.47/0.72  (step t18 (cl (= (= (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) true)) :rule trans :premises (t12 t17))
% 0.47/0.72  (step t19 (cl (= (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) :rule resolution :premises (t11 t18))
% 0.47/0.72  (step t20 (cl (= (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))))) :rule refl)
% 0.47/0.72  (step t21 (cl (= (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))))) :rule refl)
% 0.47/0.72  (step t22 (cl (= (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))))) :rule refl)
% 0.47/0.72  (step t23 (cl (= (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))))) :rule refl)
% 0.47/0.72  (step t24 (cl (= (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))))) :rule refl)
% 0.47/0.72  (step t25 (cl (= (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))))) :rule refl)
% 0.47/0.72  (step t26 (cl (= (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))))) :rule refl)
% 0.47/0.72  (step t27 (cl (= (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))))) :rule refl)
% 0.47/0.72  (step t28 (cl (= (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))))) :rule refl)
% 0.47/0.72  (step t29 (cl (= (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))))) :rule refl)
% 0.47/0.72  (step t30 (cl (= (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))))) :rule refl)
% 0.47/0.72  (step t31 (cl (= (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))))) :rule refl)
% 0.47/0.72  (step t32 (cl (= (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule refl)
% 0.47/0.72  (step t33 (cl (= (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) :rule refl)
% 0.47/0.72  (step t34 (cl (= (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))))) :rule refl)
% 0.47/0.72  (step t35 (cl (= (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule refl)
% 0.47/0.72  (step t36 (cl (= (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))))) :rule cong :premises (t9 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29 t30 t31 t32 t33 t34 t35))
% 0.47/0.72  (step t37 (cl (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) :rule and_neg)
% 0.47/0.72  (step t38 (cl (=> (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) :rule implies_neg1)
% 0.47/0.72  (anchor :step t39)
% 0.47/0.72  (assume t39.a0 (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))
% 0.47/0.72  (assume t39.a1 (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))
% 0.47/0.72  (assume t39.a2 (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))))
% 0.47/0.72  (assume t39.a3 (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))))
% 0.47/0.72  (assume t39.a4 (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))))
% 0.47/0.72  (assume t39.a5 (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))))
% 0.47/0.72  (assume t39.a6 (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))))
% 0.47/0.72  (assume t39.a7 (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))))
% 0.47/0.72  (assume t39.a8 (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))))
% 0.47/0.72  (assume t39.a9 (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))))
% 0.47/0.72  (assume t39.a10 (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))))
% 0.47/0.72  (assume t39.a11 (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))))
% 0.47/0.72  (assume t39.a12 (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))))
% 0.47/0.73  (assume t39.a13 (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))))
% 0.47/0.73  (assume t39.a14 (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))
% 0.47/0.73  (assume t39.a15 (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))
% 0.47/0.73  (assume t39.a16 (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))
% 0.47/0.73  (step t39.t1 (cl (=> (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) :rule implies_neg1)
% 0.47/0.73  (anchor :step t39.t2)
% 0.47/0.73  (assume t39.t2.a0 (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))))
% 0.47/0.73  (assume t39.t2.a1 (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))))
% 0.47/0.73  (assume t39.t2.a2 (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))))
% 0.47/0.73  (assume t39.t2.a3 (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))))
% 0.47/0.73  (assume t39.t2.a4 (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))))
% 0.47/0.73  (assume t39.t2.a5 (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))
% 0.47/0.73  (assume t39.t2.a6 (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))
% 0.47/0.73  (assume t39.t2.a7 (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))))
% 0.47/0.73  (assume t39.t2.a8 (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))))
% 0.47/0.73  (assume t39.t2.a9 (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))))
% 0.47/0.73  (assume t39.t2.a10 (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))))
% 0.47/0.73  (assume t39.t2.a11 (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))))
% 0.47/0.73  (assume t39.t2.a12 (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))))
% 0.47/0.73  (assume t39.t2.a13 (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))))
% 0.47/0.73  (assume t39.t2.a14 (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))
% 0.47/0.73  (assume t39.t2.a15 (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))
% 0.47/0.73  (assume t39.t2.a16 (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))
% 0.47/0.73  (step t39.t2.t1 (cl (= (= (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) false) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule equiv_simplify)
% 0.47/0.73  (step t39.t2.t2 (cl (not (= (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) false)) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule equiv1 :premises (t39.t2.t1))
% 0.47/0.73  (step t39.t2.t3 (cl (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule symm :premises (t39.t2.a2))
% 0.47/0.73  (step t39.t2.t4 (cl (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) :rule symm :premises (t39.t2.t3))
% 0.47/0.73  (step t39.t2.t5 (cl (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule symm :premises (t39.t2.a5))
% 0.47/0.73  (step t39.t2.t6 (cl (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule symm :premises (t39.t2.a4))
% 0.47/0.73  (step t39.t2.t7 (cl (= (tptp.sum tptp.a) (tptp.sum tptp.a))) :rule refl)
% 0.47/0.73  (step t39.t2.t8 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule symm :premises (t39.t2.a3))
% 0.47/0.73  (step t39.t2.t9 (cl (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a)))) :rule symm :premises (t39.t2.a0))
% 0.47/0.73  (step t39.t2.t10 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a)))) :rule trans :premises (t39.t2.t8 t39.t2.t9))
% 0.47/0.73  (step t39.t2.t11 (cl (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) :rule cong :premises (t39.t2.t7 t39.t2.t10))
% 0.47/0.73  (step t39.t2.t12 (cl (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) :rule trans :premises (t39.t2.t5 t39.t2.t6 t39.t2.t11))
% 0.47/0.73  (step t39.t2.t13 (cl (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule cong :premises (t39.t2.t4 t39.t2.t12))
% 0.47/0.73  (step t39.t2.t14 (cl (= (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))) (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))))) :rule symm :premises (t39.t2.a1))
% 0.47/0.73  (step t39.t2.t15 (cl (= (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a)))) :rule refl)
% 0.47/0.73  (step t39.t2.t16 (cl (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))))) :rule cong :premises (t39.t2.t9 t39.t2.t15))
% 0.47/0.73  (step t39.t2.t17 (cl (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))))) :rule trans :premises (t39.t2.t13 t39.t2.t14 t39.t2.t16))
% 0.47/0.73  (step t39.t2.t18 (cl (= (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) :rule symm :premises (t39.t2.a15))
% 0.47/0.73  (step t39.t2.t19 (cl (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule symm :premises (t39.t2.t18))
% 0.47/0.73  (step t39.t2.t20 (cl (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule cong :premises (t39.t2.t4 t39.t2.t19))
% 0.47/0.73  (step t39.t2.t21 (cl (= (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))))) :rule symm :premises (t39.t2.a14))
% 0.47/0.73  (step t39.t2.t22 (cl (= (tptp.s tptp.a) (tptp.s tptp.a))) :rule refl)
% 0.47/0.73  (step t39.t2.t23 (cl (= (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) :rule symm :premises (t39.t2.a13))
% 0.47/0.73  (step t39.t2.t24 (cl (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) :rule symm :premises (t39.t2.t10))
% 0.47/0.73  (step t39.t2.t25 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule cong :premises (t39.t2.t7 t39.t2.t24))
% 0.47/0.73  (step t39.t2.t26 (cl (= (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule symm :premises (t39.t2.a12))
% 0.47/0.73  (step t39.t2.t27 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) :rule symm :premises (t39.t2.t26))
% 0.47/0.73  (step t39.t2.t28 (cl (= (tptp.times tptp.a (tptp.s tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)))) :rule symm :premises (t39.t2.a11))
% 0.47/0.73  (step t39.t2.t29 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) :rule symm :premises (t39.t2.t28))
% 0.47/0.73  (step t39.t2.t30 (cl (= (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule cong :premises (t39.t2.t29 t39.t2.t22))
% 0.47/0.73  (step t39.t2.t31 (cl (= (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) :rule symm :premises (t39.t2.a10))
% 0.47/0.73  (step t39.t2.t32 (cl (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))) :rule symm :premises (t39.t2.a9))
% 0.47/0.73  (step t39.t2.t33 (cl (= (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))) :rule trans :premises (t39.t2.t23 t39.t2.t25 t39.t2.t27 t39.t2.t30 t39.t2.t31 t39.t2.t32))
% 0.47/0.73  (step t39.t2.t34 (cl (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) :rule cong :premises (t39.t2.t22 t39.t2.t33))
% 0.47/0.73  (step t39.t2.t35 (cl (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) :rule trans :premises (t39.t2.t20 t39.t2.t21 t39.t2.t34))
% 0.47/0.73  (step t39.t2.t36 (cl (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) :rule trans :premises (t39.t2.t35 t39.t2.a8))
% 0.47/0.73  (step t39.t2.t37 (cl (= (tptp.cubes tptp.a) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) :rule symm :premises (t39.t2.a16))
% 0.47/0.73  (step t39.t2.t38 (cl (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) :rule symm :premises (t39.t2.t37))
% 0.47/0.73  (step t39.t2.t39 (cl (= (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))) (tptp.cubes tptp.a)))) :rule cong :premises (t39.t2.t36 t39.t2.t38))
% 0.47/0.73  (step t39.t2.t40 (cl (= (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))) (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) :rule symm :premises (t39.t2.a8))
% 0.47/0.73  (step t39.t2.t41 (cl (= (tptp.cubes tptp.a) (tptp.cubes tptp.a))) :rule refl)
% 0.47/0.73  (step t39.t2.t42 (cl (= (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))) (tptp.cubes tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) :rule cong :premises (t39.t2.t40 t39.t2.t41))
% 0.47/0.73  (step t39.t2.t43 (cl (= (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)) (tptp.cubes (tptp.s tptp.a)))) :rule symm :premises (t39.t2.a7))
% 0.47/0.73  (step t39.t2.t44 (cl (= (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))) (tptp.cubes (tptp.s tptp.a)))) :rule trans :premises (t39.t2.t39 t39.t2.t42 t39.t2.t43))
% 0.47/0.73  (step t39.t2.t45 (cl (= (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) :rule cong :premises (t39.t2.t17 t39.t2.t44))
% 0.47/0.73  (step t39.t2.t46 (cl (= (= (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) false) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))) :rule equiv_simplify)
% 0.47/0.73  (step t39.t2.t47 (cl (= (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) false) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))) :rule equiv2 :premises (t39.t2.t46))
% 0.47/0.73  (step t39.t2.t48 (cl (not (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) :rule not_not)
% 0.47/0.73  (step t39.t2.t49 (cl (= (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) false) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) :rule resolution :premises (t39.t2.t47 t39.t2.t48))
% 0.47/0.73  (step t39.t2.t50 (cl (= (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) false)) :rule resolution :premises (t39.t2.t49 t39.t2.a6))
% 0.47/0.73  (step t39.t2.t51 (cl (= (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) false)) :rule trans :premises (t39.t2.t45 t39.t2.t50))
% 0.47/0.73  (step t39.t2.t52 (cl (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule resolution :premises (t39.t2.t2 t39.t2.t51))
% 0.47/0.73  (step t39.t2 (cl (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule subproof :discharge (t39.t2.a0 t39.t2.a1 t39.t2.a2 t39.t2.a3 t39.t2.a4 t39.t2.a5 t39.t2.a6 t39.t2.a7 t39.t2.a8 t39.t2.a9 t39.t2.a10 t39.t2.a11 t39.t2.a12 t39.t2.a13 t39.t2.a14 t39.t2.a15 t39.t2.a16))
% 0.47/0.73  (step t39.t3 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t39.t4 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule and_pos)
% 0.47/0.73  (step t39.t5 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t39.t6 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t39.t7 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t39.t8 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t39.t9 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t39.t10 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t39.t11 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) :rule and_pos)
% 0.47/0.73  (step t39.t12 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t39.t13 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t39.t14 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t39.t15 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t39.t16 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t39.t17 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t39.t18 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t39.t19 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) :rule and_pos)
% 0.47/0.73  (step t39.t20 (cl (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))))) :rule resolution :premises (t39.t2 t39.t3 t39.t4 t39.t5 t39.t6 t39.t7 t39.t8 t39.t9 t39.t10 t39.t11 t39.t12 t39.t13 t39.t14 t39.t15 t39.t16 t39.t17 t39.t18 t39.t19))
% 0.47/0.73  (step t39.t21 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule reordering :premises (t39.t20))
% 0.47/0.73  (step t39.t22 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule contraction :premises (t39.t21))
% 0.47/0.73  (step t39.t23 (cl (=> (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule resolution :premises (t39.t1 t39.t22))
% 0.47/0.73  (step t39.t24 (cl (=> (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule implies_neg2)
% 0.47/0.73  (step t39.t25 (cl (=> (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (=> (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule resolution :premises (t39.t23 t39.t24))
% 0.47/0.73  (step t39.t26 (cl (=> (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule contraction :premises (t39.t25))
% 0.47/0.73  (step t39.t27 (cl (not (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule implies :premises (t39.t26))
% 0.47/0.73  (step t39.t28 (cl (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) :rule and_neg)
% 0.47/0.73  (step t39.t29 (cl (and (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)))) :rule resolution :premises (t39.t28 t39.a2 t39.a6 t39.a12 t39.a5 t39.a13 t39.a14 t39.a1 t39.a3 t39.a8 t39.a7 t39.a10 t39.a4 t39.a11 t39.a9 t39.a16 t39.a15 t39.a0))
% 0.47/0.73  (step t39.t30 (cl (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule resolution :premises (t39.t27 t39.t29))
% 0.47/0.73  (step t39 (cl (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule subproof :discharge (t39.a0 t39.a1 t39.a2 t39.a3 t39.a4 t39.a5 t39.a6 t39.a7 t39.a8 t39.a9 t39.a10 t39.a11 t39.a12 t39.a13 t39.a14 t39.a15 t39.a16))
% 0.47/0.73  (step t40 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) :rule and_pos)
% 0.47/0.73  (step t41 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t42 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t43 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t44 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t45 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t46 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule and_pos)
% 0.47/0.73  (step t47 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t48 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) :rule and_pos)
% 0.47/0.73  (step t49 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t50 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t51 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t52 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t53 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t54 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t55 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule and_pos)
% 0.47/0.73  (step t56 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule and_pos)
% 0.47/0.73  (step t57 (cl (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))))) :rule resolution :premises (t39 t40 t41 t42 t43 t44 t45 t46 t47 t48 t49 t50 t51 t52 t53 t54 t55 t56))
% 0.56/0.73  (step t58 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule reordering :premises (t57))
% 0.56/0.73  (step t59 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule contraction :premises (t58))
% 0.56/0.73  (step t60 (cl (=> (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule resolution :premises (t38 t59))
% 0.56/0.73  (step t61 (cl (=> (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule implies_neg2)
% 0.56/0.73  (step t62 (cl (=> (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (=> (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule resolution :premises (t60 t61))
% 0.56/0.73  (step t63 (cl (=> (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule contraction :premises (t62))
% 0.56/0.73  (step t64 (cl (not (and (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a)) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule implies :premises (t63))
% 0.56/0.73  (step t65 (cl (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule resolution :premises (t37 t64))
% 0.56/0.73  (step t66 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))))) :rule or_neg)
% 0.56/0.73  (step t67 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))))) :rule or_neg)
% 0.56/0.73  (step t68 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))))) :rule or_neg)
% 0.56/0.73  (step t69 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))))) :rule or_neg)
% 0.56/0.73  (step t70 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))))) :rule or_neg)
% 0.56/0.73  (step t71 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))))) :rule or_neg)
% 0.56/0.73  (step t72 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))))) :rule or_neg)
% 0.56/0.73  (step t73 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))))) :rule or_neg)
% 0.56/0.73  (step t74 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))))) :rule or_neg)
% 0.56/0.73  (step t75 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))))) :rule or_neg)
% 0.56/0.73  (step t76 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))))) :rule or_neg)
% 0.56/0.73  (step t77 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))))) :rule or_neg)
% 0.56/0.73  (step t78 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))))) :rule or_neg)
% 0.56/0.73  (step t79 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))))) :rule or_neg)
% 0.56/0.73  (step t80 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule or_neg)
% 0.56/0.73  (step t81 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) :rule or_neg)
% 0.56/0.73  (step t82 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))))) :rule or_neg)
% 0.56/0.73  (step t83 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (not (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule or_neg)
% 0.56/0.73  (step t84 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule resolution :premises (t65 t66 t67 t68 t69 t70 t71 t72 t73 t74 t75 t76 t77 t78 t79 t80 t81 t82 t83))
% 0.56/0.73  (step t85 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule contraction :premises (t84))
% 0.56/0.73  (step t86 (cl (or (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))))) :rule resolution :premises (t8 t36 t85))
% 0.56/0.73  (step t87 (cl (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule or :premises (t86))
% 0.56/0.73  (step t88 (cl (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.sum (tptp.s tptp.a))) (tptp.cubes (tptp.s tptp.a))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.cubes tptp.a))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule reordering :premises (t87))
% 0.56/0.73  (step t89 (cl (=> (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N))))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t90)
% 0.56/0.73  (assume t90.a0 (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N)))))
% 0.56/0.73  (step t90.t1 (cl (or (not (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N))))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule forall_inst :args ((:= N tptp.a)))
% 0.56/0.73  (step t90.t2 (cl (not (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N))))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule or :premises (t90.t1))
% 0.56/0.73  (step t90.t3 (cl (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule resolution :premises (t90.t2 t90.a0))
% 0.56/0.73  (step t90 (cl (not (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N))))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule subproof :discharge (t90.a0))
% 0.56/0.73  (step t91 (cl (=> (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule resolution :premises (t89 t90))
% 0.56/0.73  (step t92 (cl (=> (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule implies_neg2)
% 0.56/0.73  (step t93 (cl (=> (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) (=> (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule resolution :premises (t91 t92))
% 0.56/0.73  (step t94 (cl (=> (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N)))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule contraction :premises (t93))
% 0.56/0.73  (step t95 (cl (not (forall ((N $$unsorted)) (= (tptp.sum (tptp.s N)) (|tptp.'+'| (tptp.s N) (tptp.sum N))))) (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule implies :premises (t94))
% 0.56/0.73  (step t96 (cl (= (tptp.sum (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule resolution :premises (t95 a12))
% 0.56/0.73  (step t97 (cl (=> (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N))))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t98)
% 0.56/0.73  (assume t98.a0 (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N)))))
% 0.56/0.73  (step t98.t1 (cl (or (not (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N))))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))))) :rule forall_inst :args ((:= N tptp.a)))
% 0.56/0.73  (step t98.t2 (cl (not (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N))))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) :rule or :premises (t98.t1))
% 0.56/0.73  (step t98.t3 (cl (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) :rule resolution :premises (t98.t2 t98.a0))
% 0.56/0.73  (step t98 (cl (not (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N))))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) :rule subproof :discharge (t98.a0))
% 0.56/0.73  (step t99 (cl (=> (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) :rule resolution :premises (t97 t98))
% 0.56/0.73  (step t100 (cl (=> (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (not (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))))) :rule implies_neg2)
% 0.56/0.73  (step t101 (cl (=> (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) (=> (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))))) :rule resolution :premises (t99 t100))
% 0.56/0.73  (step t102 (cl (=> (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N)))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a))))) :rule contraction :premises (t101))
% 0.56/0.73  (step t103 (cl (not (forall ((N $$unsorted)) (= (tptp.cubes (tptp.s N)) (|tptp.'+'| (tptp.times (tptp.s N) (tptp.times (tptp.s N) (tptp.s N))) (tptp.cubes N))))) (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) :rule implies :premises (t102))
% 0.56/0.73  (step t104 (cl (= (tptp.cubes (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (tptp.cubes tptp.a)))) :rule resolution :premises (t103 a14))
% 0.56/0.73  (step t105 (cl (=> (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N))))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t106)
% 0.56/0.73  (assume t106.a0 (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N)))))
% 0.56/0.73  (step t106.t1 (cl (or (not (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))))) :rule forall_inst :args ((:= N tptp.a)))
% 0.56/0.73  (step t106.t2 (cl (not (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) :rule or :premises (t106.t1))
% 0.56/0.73  (step t106.t3 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) :rule resolution :premises (t106.t2 t106.a0))
% 0.56/0.73  (step t106 (cl (not (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) :rule subproof :discharge (t106.a0))
% 0.56/0.73  (step t107 (cl (=> (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) :rule resolution :premises (t105 t106))
% 0.56/0.73  (step t108 (cl (=> (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))))) :rule implies_neg2)
% 0.56/0.73  (step t109 (cl (=> (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) (=> (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))))) :rule resolution :premises (t107 t108))
% 0.56/0.73  (step t110 (cl (=> (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a))))) :rule contraction :premises (t109))
% 0.56/0.73  (step t111 (cl (not (forall ((N $$unsorted)) (= (|tptp.'+'| (tptp.sum N) (tptp.sum N)) (tptp.times N (tptp.s N))))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) :rule implies :premises (t110))
% 0.56/0.73  (step t112 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times tptp.a (tptp.s tptp.a)))) :rule resolution :premises (t111 a15))
% 0.56/0.73  (step t113 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t114)
% 0.56/0.73  (assume t114.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))))
% 0.56/0.73  (step t114.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule forall_inst :args ((:= X (tptp.s tptp.a)) (:= Y (tptp.sum tptp.a))))
% 0.56/0.73  (step t114.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) :rule or :premises (t114.t1))
% 0.56/0.73  (step t114.t3 (cl (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) :rule resolution :premises (t114.t2 t114.a0))
% 0.56/0.73  (step t114 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) :rule subproof :discharge (t114.a0))
% 0.56/0.73  (step t115 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) :rule resolution :premises (t113 t114))
% 0.56/0.73  (step t116 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule implies_neg2)
% 0.56/0.73  (step t117 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule resolution :premises (t115 t116))
% 0.56/0.73  (step t118 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule contraction :premises (t117))
% 0.56/0.73  (step t119 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) :rule implies :premises (t118))
% 0.56/0.73  (step t120 (cl (= (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a)))) :rule resolution :premises (t119 a0))
% 0.56/0.73  (step t121 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z)))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z))))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t122)
% 0.56/0.73  (assume t122.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z)))))
% 0.56/0.73  (step t122.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z))))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))))) :rule forall_inst :args ((:= X (tptp.s tptp.a)) (:= Y (tptp.sum tptp.a)) (:= Z (tptp.sum (tptp.s tptp.a)))))
% 0.56/0.73  (step t122.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z))))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule or :premises (t122.t1))
% 0.56/0.73  (step t122.t3 (cl (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule resolution :premises (t122.t2 t122.a0))
% 0.56/0.73  (step t122 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z))))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule subproof :discharge (t122.a0))
% 0.56/0.73  (step t123 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z)))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule resolution :premises (t121 t122))
% 0.56/0.73  (step t124 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z)))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (not (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))))) :rule implies_neg2)
% 0.56/0.73  (step t125 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z)))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z)))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))))) :rule resolution :premises (t123 t124))
% 0.56/0.73  (step t126 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z)))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))))))) :rule contraction :premises (t125))
% 0.56/0.73  (step t127 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z))))) (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule implies :premises (t126))
% 0.56/0.73  (step t128 (cl (= (tptp.times (|tptp.'+'| (tptp.s tptp.a) (tptp.sum tptp.a)) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule resolution :premises (t127 a8))
% 0.56/0.73  (step t129 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y))))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t130)
% 0.56/0.73  (assume t130.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))))
% 0.56/0.73  (step t130.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.s tptp.a))))
% 0.56/0.73  (step t130.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) :rule or :premises (t130.t1))
% 0.56/0.73  (step t130.t3 (cl (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) :rule resolution :premises (t130.t2 t130.a0))
% 0.56/0.73  (step t130 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) :rule subproof :discharge (t130.a0))
% 0.56/0.73  (step t131 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) :rule resolution :premises (t129 t130))
% 0.56/0.73  (step t132 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))))) :rule implies_neg2)
% 0.56/0.73  (step t133 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))))) :rule resolution :premises (t131 t132))
% 0.56/0.73  (step t134 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a)))))) :rule contraction :premises (t133))
% 0.56/0.73  (step t135 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y))))) (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) :rule implies :premises (t134))
% 0.56/0.73  (step t136 (cl (= (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))))) :rule resolution :premises (t135 a10))
% 0.56/0.73  (step t137 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y))))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t138)
% 0.56/0.73  (assume t138.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))))
% 0.56/0.73  (step t138.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y))))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))
% 0.56/0.73  (step t138.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y))))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) :rule or :premises (t138.t1))
% 0.56/0.73  (step t138.t3 (cl (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) :rule resolution :premises (t138.t2 t138.a0))
% 0.56/0.73  (step t138 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y))))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) :rule subproof :discharge (t138.a0))
% 0.56/0.73  (step t139 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) :rule resolution :premises (t137 t138))
% 0.56/0.73  (step t140 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (not (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))))) :rule implies_neg2)
% 0.56/0.73  (step t141 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))))) :rule resolution :premises (t139 t140))
% 0.56/0.73  (step t142 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))))))) :rule contraction :premises (t141))
% 0.56/0.73  (step t143 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y))))) (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) :rule implies :premises (t142))
% 0.56/0.73  (step t144 (cl (= (tptp.times (tptp.s tptp.a) (tptp.times (tptp.s tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)) (tptp.times tptp.a (tptp.times (tptp.s tptp.a) (tptp.s tptp.a)))))) :rule resolution :premises (t143 a10))
% 0.56/0.73  (step t145 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t146)
% 0.56/0.73  (assume t146.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))))
% 0.56/0.73  (step t146.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))))) :rule forall_inst :args ((:= X (tptp.sum tptp.a)) (:= Y (tptp.sum (tptp.s tptp.a)))))
% 0.56/0.73  (step t146.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) :rule or :premises (t146.t1))
% 0.56/0.73  (step t146.t3 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) :rule resolution :premises (t146.t2 t146.a0))
% 0.56/0.73  (step t146 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) :rule subproof :discharge (t146.a0))
% 0.56/0.73  (step t147 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) :rule resolution :premises (t145 t146))
% 0.56/0.73  (step t148 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))))) :rule implies_neg2)
% 0.56/0.73  (step t149 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))))) :rule resolution :premises (t147 t148))
% 0.56/0.73  (step t150 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))))) :rule contraction :premises (t149))
% 0.56/0.73  (step t151 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) :rule implies :premises (t150))
% 0.56/0.73  (step t152 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum (tptp.s tptp.a))) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a)))) :rule resolution :premises (t151 a0))
% 0.56/0.73  (step t153 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t154)
% 0.56/0.73  (assume t154.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))))
% 0.56/0.73  (step t154.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))))) :rule forall_inst :args ((:= X (tptp.s tptp.a)) (:= Y (tptp.times tptp.a (tptp.s tptp.a)))))
% 0.56/0.73  (step t154.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule or :premises (t154.t1))
% 0.56/0.73  (step t154.t3 (cl (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule resolution :premises (t154.t2 t154.a0))
% 0.56/0.73  (step t154 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule subproof :discharge (t154.a0))
% 0.56/0.73  (step t155 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule resolution :premises (t153 t154))
% 0.56/0.73  (step t156 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))))) :rule implies_neg2)
% 0.56/0.73  (step t157 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))))) :rule resolution :premises (t155 t156))
% 0.56/0.73  (step t158 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a))))) :rule contraction :premises (t157))
% 0.56/0.73  (step t159 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule implies :premises (t158))
% 0.56/0.73  (step t160 (cl (= (|tptp.'+'| (tptp.s tptp.a) (tptp.times tptp.a (tptp.s tptp.a))) (|tptp.'+'| (tptp.times tptp.a (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule resolution :premises (t159 a0))
% 0.56/0.73  (step t161 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z)))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t162)
% 0.56/0.73  (assume t162.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))))
% 0.56/0.73  (step t162.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z)))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))))) :rule forall_inst :args ((:= X (tptp.sum tptp.a)) (:= Y (tptp.sum tptp.a)) (:= Z (tptp.s tptp.a))))
% 0.56/0.73  (step t162.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z)))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) :rule or :premises (t162.t1))
% 0.56/0.73  (step t162.t3 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) :rule resolution :premises (t162.t2 t162.a0))
% 0.56/0.73  (step t162 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z)))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) :rule subproof :discharge (t162.a0))
% 0.56/0.73  (step t163 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) :rule resolution :premises (t161 t162))
% 0.56/0.73  (step t164 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (not (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))))) :rule implies_neg2)
% 0.56/0.73  (step t165 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))))) :rule resolution :premises (t163 t164))
% 0.56/0.73  (step t166 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a))))) :rule contraction :premises (t165))
% 0.56/0.73  (step t167 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z)))) (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) :rule implies :premises (t166))
% 0.56/0.73  (step t168 (cl (= (|tptp.'+'| (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (|tptp.'+'| (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.s tptp.a)))) :rule resolution :premises (t167 a1))
% 0.56/0.73  (step t169 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule equiv_pos2)
% 0.56/0.73  (step t170 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))))) :rule refl)
% 0.56/0.73  (step t171 (cl (= (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule all_simplify)
% 0.56/0.73  (step t172 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))))) :rule cong :premises (t170 t171))
% 0.56/0.73  (step t173 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X)))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t174)
% 0.56/0.73  (assume t174.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))))
% 0.56/0.73  (step t174.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X)))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a))))) :rule forall_inst :args ((:= X (tptp.s tptp.a)) (:= Y (tptp.sum (tptp.s tptp.a)))))
% 0.56/0.73  (step t174.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X)))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule or :premises (t174.t1))
% 0.56/0.73  (step t174.t3 (cl (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule resolution :premises (t174.t2 t174.a0))
% 0.56/0.73  (step t174 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X)))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule subproof :discharge (t174.a0))
% 0.56/0.73  (step t175 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) :rule resolution :premises (t173 t174))
% 0.56/0.73  (step t176 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) (not (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a))))) :rule implies_neg2)
% 0.56/0.73  (step t177 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a))))) :rule resolution :premises (t175 t176))
% 0.56/0.73  (step t178 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a))))) :rule contraction :premises (t177))
% 0.56/0.73  (step t179 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a)))))) :rule resolution :premises (t169 t172 t178))
% 0.56/0.73  (step t180 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X)))) (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) :rule implies :premises (t179))
% 0.56/0.73  (step t181 (cl (= (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))))) :rule resolution :premises (t180 a2))
% 0.56/0.73  (step t182 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z))))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t183)
% 0.56/0.73  (assume t183.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))))
% 0.56/0.73  (step t183.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z))))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))))) :rule forall_inst :args ((:= X (tptp.sum tptp.a)) (:= Y (tptp.sum tptp.a)) (:= Z (tptp.s tptp.a))))
% 0.56/0.73  (step t183.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z))))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule or :premises (t183.t1))
% 0.56/0.73  (step t183.t3 (cl (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule resolution :premises (t183.t2 t183.a0))
% 0.56/0.73  (step t183 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z))))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule subproof :discharge (t183.a0))
% 0.56/0.73  (step t184 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule resolution :premises (t182 t183))
% 0.56/0.73  (step t185 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (not (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))))) :rule implies_neg2)
% 0.56/0.73  (step t186 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))))) :rule resolution :premises (t184 t185))
% 0.56/0.73  (step t187 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))))) :rule contraction :premises (t186))
% 0.56/0.73  (step t188 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z))))) (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule implies :premises (t187))
% 0.56/0.73  (step t189 (cl (= (tptp.times (tptp.sum tptp.a) (|tptp.'+'| (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))))) :rule resolution :premises (t188 a7))
% 0.56/0.73  (step t190 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t191)
% 0.56/0.73  (assume t191.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))))
% 0.56/0.73  (step t191.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule forall_inst :args ((:= X (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))) (:= Y (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)))))
% 0.56/0.73  (step t191.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule or :premises (t191.t1))
% 0.56/0.73  (step t191.t3 (cl (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule resolution :premises (t191.t2 t191.a0))
% 0.56/0.73  (step t191 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule subproof :discharge (t191.a0))
% 0.56/0.73  (step t192 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule resolution :premises (t190 t191))
% 0.56/0.73  (step t193 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (not (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule implies_neg2)
% 0.56/0.73  (step t194 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule resolution :premises (t192 t193))
% 0.56/0.73  (step t195 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule contraction :premises (t194))
% 0.56/0.73  (step t196 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X)))) (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule implies :premises (t195))
% 0.56/0.73  (step t197 (cl (= (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a))))) :rule resolution :premises (t196 a0))
% 0.56/0.73  (step t198 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X)))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t199)
% 0.56/0.73  (assume t199.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))))
% 0.56/0.73  (step t199.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule forall_inst :args ((:= X (tptp.sum tptp.a)) (:= Y (tptp.s tptp.a))))
% 0.56/0.73  (step t199.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule or :premises (t199.t1))
% 0.56/0.73  (step t199.t3 (cl (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule resolution :premises (t199.t2 t199.a0))
% 0.56/0.73  (step t199 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule subproof :discharge (t199.a0))
% 0.56/0.73  (step t200 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule resolution :premises (t198 t199))
% 0.56/0.73  (step t201 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (not (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule implies_neg2)
% 0.56/0.73  (step t202 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule resolution :premises (t200 t201))
% 0.56/0.73  (step t203 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule contraction :premises (t202))
% 0.56/0.73  (step t204 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X)))) (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule implies :premises (t203))
% 0.56/0.73  (step t205 (cl (= (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))) :rule resolution :premises (t204 a2))
% 0.56/0.73  (step t206 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z))))) :rule implies_neg1)
% 0.56/0.73  (anchor :step t207)
% 0.56/0.73  (assume t207.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))))
% 0.56/0.73  (step t207.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z))))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) :rule forall_inst :args ((:= X (tptp.s tptp.a)) (:= Y (tptp.sum (tptp.s tptp.a))) (:= Z (tptp.sum tptp.a))))
% 0.56/0.73  (step t207.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z))))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule or :premises (t207.t1))
% 0.56/0.73  (step t207.t3 (cl (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule resolution :premises (t207.t2 t207.a0))
% 0.56/0.73  (step t207 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z))))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule subproof :discharge (t207.a0))
% 0.56/0.73  (step t208 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule resolution :premises (t206 t207))
% 0.56/0.73  (step t209 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (not (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) :rule implies_neg2)
% 0.56/0.73  (step t210 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) :rule resolution :premises (t208 t209))
% 0.56/0.73  (step t211 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a)))))) :rule contraction :premises (t210))
% 0.56/0.73  (step t212 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z))))) (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule implies :premises (t211))
% 0.56/0.73  (step t213 (cl (= (tptp.times (tptp.s tptp.a) (|tptp.'+'| (tptp.sum (tptp.s tptp.a)) (tptp.sum tptp.a))) (|tptp.'+'| (tptp.times (tptp.s tptp.a) (tptp.sum (tptp.s tptp.a))) (tptp.times (tptp.s tptp.a) (tptp.sum tptp.a))))) :rule resolution :premises (t212 a7))
% 0.56/0.73  (step t214 (cl (not (= (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (|tptp.'+'| (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))) (|tptp.'+'| (|tptp.'+'| (tptp.times (tptp.sum (tptp.s tptp.a)) (tptp.s tptp.a)) (tptp.times (tptp.sum tptp.a) (tptp.s tptp.a))) (tptp.times (tptp.sum tptp.a) (tptp.sum tptp.a)))))) :rule resolution :premises (t88 a17 a16 t96 t104 t112 t120 t128 t136 t144 t152 t160 t168 t181 t189 t197 t205 t213))
% 0.56/0.73  (step t215 (cl) :rule resolution :premises (t7 t214 a1))
% 0.56/0.73  
% 0.56/0.73  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.pRaaBfeIc6/cvc5---1.0.5_27979.smt2
% 0.56/0.73  % cvc5---1.0.5 exiting
% 0.56/0.74  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------