TSTP Solution File: LDA001-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LDA001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n022.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 17:29:00 EDT 2024
% Result : Unsatisfiable 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LDA001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 25 21:01:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.3J87yo39UV/cvc5---1.0.5_7034.smt2
% 0.20/0.53 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.3J87yo39UV/cvc5---1.0.5_7034.smt2
% 0.20/0.55 (assume a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))))
% 0.20/0.55 (assume a1 (= tptp.n2 (tptp.f tptp.n1 tptp.n1)))
% 0.20/0.55 (assume a2 (= tptp.n3 (tptp.f tptp.n2 tptp.n1)))
% 0.20/0.55 (assume a3 (= tptp.u (tptp.f tptp.n2 tptp.n2)))
% 0.20/0.55 (assume a4 (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))
% 0.20/0.55 (step t1 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) :rule implies_neg1)
% 0.20/0.55 (anchor :step t2)
% 0.20/0.55 (assume t2.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))))
% 0.20/0.55 (step t2.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule forall_inst :args ((:= X tptp.n2) (:= Y tptp.n1) (:= Z (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))
% 0.20/0.55 (step t2.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) :rule or :premises (t2.t1))
% 0.20/0.55 (step t2.t3 (cl (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) :rule resolution :premises (t2.t2 t2.a0))
% 0.20/0.55 (step t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) :rule subproof :discharge (t2.a0))
% 0.20/0.55 (step t3 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) :rule resolution :premises (t1 t2))
% 0.20/0.55 (step t4 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule implies_neg2)
% 0.20/0.55 (step t5 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule resolution :premises (t3 t4))
% 0.20/0.55 (step t6 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule contraction :premises (t5))
% 0.20/0.55 (step t7 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) :rule implies :premises (t6))
% 0.20/0.55 (step t8 (cl (not (= (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))))) (not (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule equiv_pos2)
% 0.20/0.55 (step t9 (cl (= (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))))) :rule refl)
% 0.20/0.55 (step t10 (cl (= (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule refl)
% 0.20/0.55 (step t11 (cl (= (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))))) :rule refl)
% 0.20/0.55 (step t12 (cl (= (= (= (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) true) (= (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))) :rule equiv_simplify)
% 0.20/0.55 (step t13 (cl (not (= (= (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) true)) (= (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) :rule equiv1 :premises (t12))
% 0.20/0.55 (step t14 (cl (= (= (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))))) :rule all_simplify)
% 0.20/0.55 (step t15 (cl (= (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) :rule refl)
% 0.20/0.55 (step t16 (cl (= (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) :rule all_simplify)
% 0.20/0.55 (step t17 (cl (= (= (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))) (= (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))) :rule cong :premises (t15 t16))
% 0.20/0.55 (step t18 (cl (= (= (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) true)) :rule all_simplify)
% 0.20/0.55 (step t19 (cl (= (= (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))) true)) :rule trans :premises (t17 t18))
% 0.20/0.55 (step t20 (cl (= (= (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) true)) :rule trans :premises (t14 t19))
% 0.20/0.55 (step t21 (cl (= (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) :rule resolution :premises (t13 t20))
% 0.20/0.55 (step t22 (cl (= (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))))) :rule refl)
% 0.20/0.55 (step t23 (cl (= (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))))) :rule refl)
% 0.20/0.55 (step t24 (cl (= (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))))) :rule refl)
% 0.20/0.55 (step t25 (cl (= (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))))) :rule refl)
% 0.20/0.55 (step t26 (cl (= (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))))) :rule refl)
% 0.20/0.55 (step t27 (cl (= (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))))) :rule refl)
% 0.20/0.55 (step t28 (cl (= (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule refl)
% 0.20/0.55 (step t29 (cl (= (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))))) :rule cong :premises (t9 t10 t11 t21 t22 t23 t24 t25 t26 t27 t28))
% 0.20/0.55 (step t30 (cl (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) :rule and_neg)
% 0.20/0.55 (step t31 (cl (=> (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) :rule implies_neg1)
% 0.20/0.55 (anchor :step t32)
% 0.20/0.55 (assume t32.a0 (= tptp.n2 (tptp.f tptp.n1 tptp.n1)))
% 0.20/0.55 (assume t32.a1 (= tptp.n3 (tptp.f tptp.n2 tptp.n1)))
% 0.20/0.55 (assume t32.a2 (= tptp.u (tptp.f tptp.n2 tptp.n2)))
% 0.20/0.55 (assume t32.a3 (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))
% 0.20/0.55 (assume t32.a4 (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))))
% 0.20/0.55 (assume t32.a5 (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))))
% 0.20/0.55 (assume t32.a6 (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))))
% 0.20/0.55 (assume t32.a7 (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))))
% 0.20/0.55 (assume t32.a8 (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))))
% 0.20/0.55 (assume t32.a9 (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))
% 0.20/0.55 (step t32.t1 (cl (=> (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) :rule implies_neg1)
% 0.20/0.55 (anchor :step t32.t2)
% 0.20/0.55 (assume t32.t2.a0 (= tptp.u (tptp.f tptp.n2 tptp.n2)))
% 0.20/0.55 (assume t32.t2.a1 (= tptp.n2 (tptp.f tptp.n1 tptp.n1)))
% 0.20/0.55 (assume t32.t2.a2 (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))))
% 0.20/0.55 (assume t32.t2.a3 (= tptp.n3 (tptp.f tptp.n2 tptp.n1)))
% 0.20/0.55 (assume t32.t2.a4 (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))))
% 0.20/0.55 (assume t32.t2.a5 (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))
% 0.20/0.55 (assume t32.t2.a6 (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))))
% 0.20/0.55 (assume t32.t2.a7 (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))))
% 0.20/0.55 (assume t32.t2.a8 (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))))
% 0.20/0.55 (assume t32.t2.a9 (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))
% 0.20/0.55 (step t32.t2.t1 (cl (= (= (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule equiv_simplify)
% 0.20/0.55 (step t32.t2.t2 (cl (not (= (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false)) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule equiv1 :premises (t32.t2.t1))
% 0.20/0.55 (step t32.t2.t3 (cl (not (= (= (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false) (= (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false))) (not (= (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false)) (= (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false)) :rule equiv_pos2)
% 0.20/0.55 (step t32.t2.t4 (cl (= (= (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false) (not (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule all_simplify)
% 0.20/0.55 (step t32.t2.t5 (cl (= (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule all_simplify)
% 0.20/0.55 (step t32.t2.t6 (cl (= (not (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule cong :premises (t32.t2.t5))
% 0.20/0.55 (step t32.t2.t7 (cl (= (= (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule trans :premises (t32.t2.t4 t32.t2.t6))
% 0.20/0.55 (step t32.t2.t8 (cl (= (= (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule all_simplify)
% 0.20/0.55 (step t32.t2.t9 (cl (= (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) (= (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false))) :rule symm :premises (t32.t2.t8))
% 0.20/0.55 (step t32.t2.t10 (cl (= (= (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false) (= (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false))) :rule trans :premises (t32.t2.t7 t32.t2.t9))
% 0.20/0.55 (step t32.t2.t11 (cl (= (tptp.f tptp.n2 tptp.n1) tptp.n3)) :rule symm :premises (t32.t2.a3))
% 0.20/0.55 (step t32.t2.t12 (cl (= tptp.n2 tptp.n2)) :rule refl)
% 0.20/0.55 (step t32.t2.t13 (cl (= (tptp.f tptp.n1 tptp.n1) tptp.n2)) :rule symm :premises (t32.t2.a1))
% 0.20/0.55 (step t32.t2.t14 (cl (= tptp.n1 tptp.n1)) :rule refl)
% 0.20/0.55 (step t32.t2.t15 (cl (= (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1) (tptp.f tptp.n2 tptp.n1))) :rule cong :premises (t32.t2.t13 t32.t2.t14))
% 0.20/0.55 (step t32.t2.t16 (cl (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1)))) :rule cong :premises (t32.t2.t12 t32.t2.t15))
% 0.20/0.55 (step t32.t2.t17 (cl (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))))) :rule cong :premises (t32.t2.t11 t32.t2.t16))
% 0.20/0.55 (step t32.t2.t18 (cl (= (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))) (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))))) :rule symm :premises (t32.t2.a4))
% 0.20/0.55 (step t32.t2.t19 (cl (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule symm :premises (t32.t2.t18))
% 0.20/0.55 (step t32.t2.t20 (cl (= (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 tptp.n2))) :rule refl)
% 0.20/0.55 (step t32.t2.t21 (cl (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) :rule symm :premises (t32.t2.t11))
% 0.20/0.55 (step t32.t2.t22 (cl (= (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) :rule refl)
% 0.20/0.55 (step t32.t2.t23 (cl (= (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) :rule cong :premises (t32.t2.t21 t32.t2.t22))
% 0.20/0.55 (step t32.t2.t24 (cl (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)) (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)))) :rule symm :premises (t32.t2.a2))
% 0.20/0.55 (step t32.t2.t25 (cl (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n2 tptp.n2))) :rule cong :premises (t32.t2.t12 t32.t2.t13))
% 0.20/0.55 (step t32.t2.t26 (cl (= (tptp.f tptp.n2 tptp.n2) tptp.u)) :rule symm :premises (t32.t2.a0))
% 0.20/0.55 (step t32.t2.t27 (cl (= (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)) tptp.u)) :rule trans :premises (t32.t2.t23 t32.t2.t24 t32.t2.t25 t32.t2.t26))
% 0.20/0.55 (step t32.t2.t28 (cl (= (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u))) :rule cong :premises (t32.t2.t20 t32.t2.t27))
% 0.20/0.55 (step t32.t2.t29 (cl (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u))) :rule trans :premises (t32.t2.t17 t32.t2.t19 t32.t2.t28))
% 0.20/0.55 (step t32.t2.t30 (cl (= (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) :rule symm :premises (t32.t2.a9))
% 0.20/0.55 (step t32.t2.t31 (cl (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) :rule symm :premises (t32.t2.t30))
% 0.20/0.55 (step t32.t2.t32 (cl (= (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)))) :rule symm :premises (t32.t2.a8))
% 0.20/0.55 (step t32.t2.t33 (cl (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) :rule symm :premises (t32.t2.t32))
% 0.20/0.55 (step t32.t2.t34 (cl (= (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n2 tptp.n2))) :rule cong :premises (t32.t2.t13 t32.t2.t13))
% 0.20/0.55 (step t32.t2.t35 (cl (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) tptp.u)) :rule trans :premises (t32.t2.t33 t32.t2.t34 t32.t2.t26))
% 0.20/0.55 (step t32.t2.t36 (cl (= (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.u tptp.n2))) :rule cong :premises (t32.t2.t35 t32.t2.t13))
% 0.20/0.55 (step t32.t2.t37 (cl (= (tptp.f tptp.u tptp.n2) (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2))) :rule cong :premises (t32.t2.a0 t32.t2.t12))
% 0.20/0.55 (step t32.t2.t38 (cl (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2))) :rule trans :premises (t32.t2.t31 t32.t2.t36 t32.t2.t37))
% 0.20/0.55 (step t32.t2.t39 (cl (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)))) :rule cong :premises (t32.t2.t12 t32.t2.t38))
% 0.20/0.55 (step t32.t2.t40 (cl (= (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)))) :rule symm :premises (t32.t2.a7))
% 0.20/0.55 (step t32.t2.t41 (cl (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) :rule symm :premises (t32.t2.t40))
% 0.20/0.55 (step t32.t2.t42 (cl (= (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)))) :rule symm :premises (t32.t2.a6))
% 0.20/0.55 (step t32.t2.t43 (cl (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) :rule symm :premises (t32.t2.t42))
% 0.20/0.55 (step t32.t2.t44 (cl (= (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.u tptp.u))) :rule cong :premises (t32.t2.t26 t32.t2.t26))
% 0.20/0.55 (step t32.t2.t45 (cl (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.u tptp.u))) :rule trans :premises (t32.t2.t43 t32.t2.t44))
% 0.20/0.55 (step t32.t2.t46 (cl (= (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) :rule cong :premises (t32.t2.t45 t32.t2.t26))
% 0.20/0.55 (step t32.t2.t47 (cl (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) :rule trans :premises (t32.t2.t39 t32.t2.t41 t32.t2.t46))
% 0.20/0.55 (step t32.t2.t48 (cl (= (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) :rule cong :premises (t32.t2.t29 t32.t2.t47))
% 0.20/0.55 (step t32.t2.t49 (cl (= (= (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) false) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))) :rule equiv_simplify)
% 0.20/0.55 (step t32.t2.t50 (cl (= (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) false) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))) :rule equiv2 :premises (t32.t2.t49))
% 0.20/0.55 (step t32.t2.t51 (cl (not (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) :rule not_not)
% 0.20/0.55 (step t32.t2.t52 (cl (= (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) false) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) :rule resolution :premises (t32.t2.t50 t32.t2.t51))
% 0.20/0.55 (step t32.t2.t53 (cl (= (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) false)) :rule resolution :premises (t32.t2.t52 t32.t2.a5))
% 0.20/0.55 (step t32.t2.t54 (cl (= (= (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false)) :rule trans :premises (t32.t2.t48 t32.t2.t53))
% 0.20/0.55 (step t32.t2.t55 (cl (= (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))) false)) :rule resolution :premises (t32.t2.t3 t32.t2.t10 t32.t2.t54))
% 0.20/0.55 (step t32.t2.t56 (cl (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule resolution :premises (t32.t2.t2 t32.t2.t55))
% 0.20/0.55 (step t32.t2 (cl (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule subproof :discharge (t32.t2.a0 t32.t2.a1 t32.t2.a2 t32.t2.a3 t32.t2.a4 t32.t2.a5 t32.t2.a6 t32.t2.a7 t32.t2.a8 t32.t2.a9))
% 0.20/0.55 (step t32.t3 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= tptp.u (tptp.f tptp.n2 tptp.n2))) :rule and_pos)
% 0.20/0.55 (step t32.t4 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) :rule and_pos)
% 0.20/0.55 (step t32.t5 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) :rule and_pos)
% 0.20/0.55 (step t32.t6 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) :rule and_pos)
% 0.20/0.55 (step t32.t7 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule and_pos)
% 0.20/0.55 (step t32.t8 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) :rule and_pos)
% 0.20/0.55 (step t32.t9 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) :rule and_pos)
% 0.20/0.55 (step t32.t10 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) :rule and_pos)
% 0.20/0.55 (step t32.t11 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) :rule and_pos)
% 0.20/0.55 (step t32.t12 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) :rule and_pos)
% 0.20/0.55 (step t32.t13 (cl (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))))) :rule resolution :premises (t32.t2 t32.t3 t32.t4 t32.t5 t32.t6 t32.t7 t32.t8 t32.t9 t32.t10 t32.t11 t32.t12))
% 0.20/0.55 (step t32.t14 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule reordering :premises (t32.t13))
% 0.20/0.55 (step t32.t15 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule contraction :premises (t32.t14))
% 0.20/0.55 (step t32.t16 (cl (=> (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule resolution :premises (t32.t1 t32.t15))
% 0.20/0.55 (step t32.t17 (cl (=> (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule implies_neg2)
% 0.20/0.55 (step t32.t18 (cl (=> (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (=> (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule resolution :premises (t32.t16 t32.t17))
% 0.20/0.55 (step t32.t19 (cl (=> (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule contraction :premises (t32.t18))
% 0.20/0.55 (step t32.t20 (cl (not (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule implies :premises (t32.t19))
% 0.20/0.55 (step t32.t21 (cl (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) :rule and_neg)
% 0.20/0.55 (step t32.t22 (cl (and (= tptp.u (tptp.f tptp.n2 tptp.n2)) (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) :rule resolution :premises (t32.t21 t32.a2 t32.a0 t32.a4 t32.a1 t32.a8 t32.a3 t32.a6 t32.a7 t32.a5 t32.a9))
% 0.20/0.55 (step t32.t23 (cl (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule resolution :premises (t32.t20 t32.t22))
% 0.20/0.55 (step t32 (cl (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule subproof :discharge (t32.a0 t32.a1 t32.a2 t32.a3 t32.a4 t32.a5 t32.a6 t32.a7 t32.a8 t32.a9))
% 0.20/0.55 (step t33 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) :rule and_pos)
% 0.20/0.55 (step t34 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) :rule and_pos)
% 0.20/0.55 (step t35 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= tptp.u (tptp.f tptp.n2 tptp.n2))) :rule and_pos)
% 0.20/0.55 (step t36 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) :rule and_pos)
% 0.20/0.55 (step t37 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) :rule and_pos)
% 0.20/0.55 (step t38 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) :rule and_pos)
% 0.20/0.55 (step t39 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) :rule and_pos)
% 0.20/0.55 (step t40 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) :rule and_pos)
% 0.20/0.55 (step t41 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule and_pos)
% 0.20/0.55 (step t42 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) :rule and_pos)
% 0.20/0.55 (step t43 (cl (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))))) :rule resolution :premises (t32 t33 t34 t35 t36 t37 t38 t39 t40 t41 t42))
% 0.20/0.55 (step t44 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule reordering :premises (t43))
% 0.20/0.55 (step t45 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule contraction :premises (t44))
% 0.20/0.55 (step t46 (cl (=> (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule resolution :premises (t31 t45))
% 0.20/0.55 (step t47 (cl (=> (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule implies_neg2)
% 0.20/0.55 (step t48 (cl (=> (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (=> (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule resolution :premises (t46 t47))
% 0.20/0.55 (step t49 (cl (=> (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule contraction :premises (t48))
% 0.20/0.55 (step t50 (cl (not (and (= tptp.n2 (tptp.f tptp.n1 tptp.n1)) (= tptp.n3 (tptp.f tptp.n2 tptp.n1)) (= tptp.u (tptp.f tptp.n2 tptp.n2)) (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule implies :premises (t49))
% 0.20/0.55 (step t51 (cl (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule resolution :premises (t30 t50))
% 0.20/0.55 (step t52 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))))) :rule or_neg)
% 0.20/0.55 (step t53 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule or_neg)
% 0.20/0.55 (step t54 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= tptp.u (tptp.f tptp.n2 tptp.n2))))) :rule or_neg)
% 0.20/0.55 (step t55 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))))) :rule or_neg)
% 0.20/0.55 (step t56 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))))) :rule or_neg)
% 0.20/0.55 (step t57 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))))) :rule or_neg)
% 0.20/0.55 (step t58 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))))) :rule or_neg)
% 0.20/0.55 (step t59 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))))) :rule or_neg)
% 0.20/0.55 (step t60 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))))) :rule or_neg)
% 0.20/0.55 (step t61 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))))) :rule or_neg)
% 0.20/0.55 (step t62 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (not (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule or_neg)
% 0.20/0.55 (step t63 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule resolution :premises (t51 t52 t53 t54 t55 t56 t57 t58 t59 t60 t61 t62))
% 0.20/0.55 (step t64 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (not (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule contraction :premises (t63))
% 0.20/0.55 (step t65 (cl (or (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))))))) :rule resolution :premises (t8 t29 t64))
% 0.20/0.55 (step t66 (cl (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule or :premises (t65))
% 0.20/0.55 (step t67 (cl (= (tptp.f (tptp.f tptp.n3 tptp.n2) tptp.u) (tptp.f (tptp.f tptp.u tptp.u) tptp.u)) (not (= tptp.n2 (tptp.f tptp.n1 tptp.n1))) (not (= tptp.n3 (tptp.f tptp.n2 tptp.n1))) (not (= tptp.u (tptp.f tptp.n2 tptp.n2))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule reordering :premises (t66))
% 0.20/0.55 (step t68 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) :rule implies_neg1)
% 0.20/0.55 (anchor :step t69)
% 0.20/0.55 (assume t69.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))))
% 0.20/0.55 (step t69.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))))) :rule forall_inst :args ((:= X tptp.n2) (:= Y tptp.n1) (:= Z tptp.n1)))
% 0.20/0.55 (step t69.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) :rule or :premises (t69.t1))
% 0.20/0.55 (step t69.t3 (cl (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) :rule resolution :premises (t69.t2 t69.a0))
% 0.20/0.55 (step t69 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) :rule subproof :discharge (t69.a0))
% 0.20/0.55 (step t70 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) :rule resolution :premises (t68 t69))
% 0.20/0.55 (step t71 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))))) :rule implies_neg2)
% 0.20/0.55 (step t72 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))))) :rule resolution :premises (t70 t71))
% 0.20/0.55 (step t73 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1))))) :rule contraction :premises (t72))
% 0.20/0.55 (step t74 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) :rule implies :premises (t73))
% 0.20/0.55 (step t75 (cl (= (tptp.f tptp.n2 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 tptp.n1)))) :rule resolution :premises (t74 a0))
% 0.20/0.55 (step t76 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) :rule implies_neg1)
% 0.20/0.55 (anchor :step t77)
% 0.20/0.55 (assume t77.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))))
% 0.20/0.55 (step t77.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))))) :rule forall_inst :args ((:= X tptp.n1) (:= Y tptp.n1) (:= Z tptp.n1)))
% 0.20/0.55 (step t77.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) :rule or :premises (t77.t1))
% 0.20/0.55 (step t77.t3 (cl (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) :rule resolution :premises (t77.t2 t77.a0))
% 0.20/0.55 (step t77 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) :rule subproof :discharge (t77.a0))
% 0.20/0.55 (step t78 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) :rule resolution :premises (t76 t77))
% 0.20/0.55 (step t79 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))))) :rule implies_neg2)
% 0.20/0.55 (step t80 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))))) :rule resolution :premises (t78 t79))
% 0.20/0.55 (step t81 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1))))) :rule contraction :premises (t80))
% 0.20/0.55 (step t82 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) :rule implies :premises (t81))
% 0.20/0.55 (step t83 (cl (= (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f (tptp.f tptp.n1 tptp.n1) (tptp.f tptp.n1 tptp.n1)))) :rule resolution :premises (t82 a0))
% 0.20/0.55 (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) :rule implies_neg1)
% 0.20/0.55 (anchor :step t85)
% 0.20/0.55 (assume t85.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))))
% 0.20/0.55 (step t85.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))))) :rule forall_inst :args ((:= X tptp.n2) (:= Y tptp.n2) (:= Z tptp.n2)))
% 0.20/0.55 (step t85.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) :rule or :premises (t85.t1))
% 0.20/0.55 (step t85.t3 (cl (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) :rule resolution :premises (t85.t2 t85.a0))
% 0.20/0.55 (step t85 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) :rule subproof :discharge (t85.a0))
% 0.20/0.55 (step t86 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) :rule resolution :premises (t84 t85))
% 0.20/0.55 (step t87 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))))) :rule implies_neg2)
% 0.20/0.55 (step t88 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))))) :rule resolution :premises (t86 t87))
% 0.20/0.55 (step t89 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2))))) :rule contraction :premises (t88))
% 0.20/0.55 (step t90 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) :rule implies :premises (t89))
% 0.20/0.55 (step t91 (cl (= (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f (tptp.f tptp.n2 tptp.n2) (tptp.f tptp.n2 tptp.n2)))) :rule resolution :premises (t90 a0))
% 0.20/0.55 (step t92 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) :rule implies_neg1)
% 0.20/0.55 (anchor :step t93)
% 0.20/0.55 (assume t93.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))))
% 0.20/0.55 (step t93.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))))) :rule forall_inst :args ((:= X tptp.n2) (:= Y (tptp.f tptp.n2 tptp.n2)) (:= Z tptp.n2)))
% 0.20/0.55 (step t93.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) :rule or :premises (t93.t1))
% 0.20/0.55 (step t93.t3 (cl (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) :rule resolution :premises (t93.t2 t93.a0))
% 0.20/0.55 (step t93 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) :rule subproof :discharge (t93.a0))
% 0.20/0.55 (step t94 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) :rule resolution :premises (t92 t93))
% 0.20/0.55 (step t95 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (not (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))))) :rule implies_neg2)
% 0.20/0.55 (step t96 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))))) :rule resolution :premises (t94 t95))
% 0.20/0.55 (step t97 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2))))) :rule contraction :premises (t96))
% 0.20/0.55 (step t98 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) :rule implies :premises (t97))
% 0.20/0.55 (step t99 (cl (= (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n2 tptp.n2) tptp.n2)) (tptp.f (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n2)) (tptp.f tptp.n2 tptp.n2)))) :rule resolution :premises (t98 a0))
% 0.20/0.55 (step t100 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) :rule implies_neg1)
% 0.20/0.55 (anchor :step t101)
% 0.20/0.55 (assume t101.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))))
% 0.20/0.55 (step t101.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))))) :rule forall_inst :args ((:= X tptp.n3) (:= Y tptp.n2) (:= Z (tptp.f tptp.n2 tptp.n1))))
% 0.20/0.55 (step t101.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule or :premises (t101.t1))
% 0.20/0.55 (step t101.t3 (cl (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule resolution :premises (t101.t2 t101.a0))
% 0.20/0.55 (step t101 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule subproof :discharge (t101.a0))
% 0.20/0.55 (step t102 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule resolution :premises (t100 t101))
% 0.20/0.55 (step t103 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (not (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))))) :rule implies_neg2)
% 0.20/0.55 (step t104 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))))) :rule resolution :premises (t102 t103))
% 0.20/0.55 (step t105 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1)))))) :rule contraction :premises (t104))
% 0.20/0.55 (step t106 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule implies :premises (t105))
% 0.20/0.55 (step t107 (cl (= (tptp.f tptp.n3 (tptp.f tptp.n2 (tptp.f tptp.n2 tptp.n1))) (tptp.f (tptp.f tptp.n3 tptp.n2) (tptp.f tptp.n3 (tptp.f tptp.n2 tptp.n1))))) :rule resolution :premises (t106 a0))
% 0.20/0.55 (step t108 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) :rule implies_neg1)
% 0.20/0.55 (anchor :step t109)
% 0.20/0.55 (assume t109.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))))
% 0.20/0.55 (step t109.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) :rule forall_inst :args ((:= X tptp.n1) (:= Y (tptp.f tptp.n1 tptp.n1)) (:= Z tptp.n1)))
% 0.20/0.55 (step t109.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) :rule or :premises (t109.t1))
% 0.20/0.55 (step t109.t3 (cl (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) :rule resolution :premises (t109.t2 t109.a0))
% 0.20/0.55 (step t109 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) :rule subproof :discharge (t109.a0))
% 0.20/0.55 (step t110 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) :rule resolution :premises (t108 t109))
% 0.20/0.55 (step t111 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (not (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) :rule implies_neg2)
% 0.20/0.55 (step t112 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) :rule resolution :premises (t110 t111))
% 0.20/0.55 (step t113 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1))))) :rule contraction :premises (t112))
% 0.20/0.55 (step t114 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z))))) (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) :rule implies :premises (t113))
% 0.20/0.55 (step t115 (cl (= (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)) (tptp.f (tptp.f tptp.n1 (tptp.f tptp.n1 tptp.n1)) (tptp.f tptp.n1 tptp.n1)))) :rule resolution :premises (t114 a0))
% 0.20/0.55 (step t116 (cl (not (= (tptp.f tptp.n2 (tptp.f tptp.n1 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1))) (tptp.f (tptp.f tptp.n2 tptp.n1) (tptp.f tptp.n2 (tptp.f (tptp.f tptp.n1 tptp.n1) tptp.n1)))))) :rule resolution :premises (t67 a4 a1 a2 a3 t75 t83 t91 t99 t107 t115))
% 0.20/0.55 (step t117 (cl) :rule resolution :premises (t7 t116 a0))
% 0.20/0.55
% 0.20/0.55 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.3J87yo39UV/cvc5---1.0.5_7034.smt2
% 0.20/0.56 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------