%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SCT073-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n005.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 17:42:45 EDT 2024

% Result   : Unsatisfiable 0.91s 1.09s
% Output   : Proof 0.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17  % Problem    : SCT073-1 : TPTP v8.2.0. Released v4.1.0.
% 0.18/0.19  % Command    : do_cvc5 %s %d
% 0.18/0.39  % Computer : n005.cluster.edu
% 0.18/0.39  % Model    : x86_64 x86_64
% 0.18/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39  % Memory   : 8042.1875MB
% 0.18/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39  % CPULimit   : 300
% 0.18/0.39  % WCLimit    : 300
% 0.18/0.39  % DateTime   : Mon May 27 18:02:39 EDT 2024
% 0.18/0.39  % CPUTime    : 
% 0.38/0.66  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.91/1.09  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.UXO1tvLgx3/cvc5---1.0.5_29434.smt2
% 0.91/1.09  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.UXO1tvLgx3/cvc5---1.0.5_29434.smt2
% 0.91/1.11  (assume a0 (forall ((V_r $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Otrans (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a)))
% 0.91/1.11  (assume a1 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_x T_a) V_x))))
% 0.91/1.11  (assume a2 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 0.91/1.11  (assume a3 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) V_x T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_x T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_z V_x T_a) T_a)))))
% 0.91/1.11  (assume a4 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_z T_a) T_a)))))
% 0.91/1.11  (assume a5 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a6 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a7 (forall ((V_I $$unsorted) (V_J $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf V_I V_J (tptp.tc_fun T_a tptp.tc_bool)) V_C T_a T_b) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Product__Type_OSigma V_I V_C T_a T_b) (tptp.c_Product__Type_OSigma V_J V_C T_a T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)))))
% 0.91/1.11  (assume a8 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_x) V_B T_a) (not (tptp.c_in V_x V_A T_b)) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_b T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a9 (forall ((V_B $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_B T_b) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.91/1.11  (assume a10 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a11 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_b V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a12 (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup V_R (tptp.c_Relation_OId T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a))))
% 0.91/1.11  (assume a13 (forall ((V_R $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.c_Transitive__Closure_Ortrancl V_S T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup V_R V_S (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))
% 0.91/1.11  (assume a14 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.c_Set_Oinsert V_a V_A T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a (tptp.c_Complete__Lattice_OInf__class_OInf V_A T_a) T_a)))))
% 0.91/1.11  (assume a15 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 0.91/1.11  (assume a16 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 0.91/1.11  (assume a17 (forall ((V_r $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Otrans (tptp.c_Transitive__Closure_Ortrancl V_r T_a) T_a)))
% 0.91/1.11  (assume a18 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Otrans V_r T_a) (not (tptp.c_Relation_Otrans (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)))))
% 0.91/1.11  (assume a19 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Otrans (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (not (tptp.c_Relation_Otrans V_r T_a)))))
% 0.91/1.11  (assume a20 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.c_Set_Oinsert V_a V_A T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a (tptp.c_Complete__Lattice_OSup__class_OSup V_A T_a) T_a)))))
% 0.91/1.11  (assume a21 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oinsert V_a V_A T_a) (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 0.91/1.11  (assume a22 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Set_Oinsert V_x V_A T_a))))
% 0.91/1.11  (assume a23 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (= V_y V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x))))))
% 0.91/1.11  (assume a24 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b)) T_a T_b) (tptp.c_Set_Oinsert V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a))))
% 0.91/1.11  (assume a25 (forall ((V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_Relation_Osym V_s T_a)) (not (tptp.c_Relation_Osym V_r T_a)))))
% 0.91/1.11  (assume a26 (forall ((V_R $$unsorted) (V_S $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup V_R V_S (tptp.tc_fun (tptp.tc_prod T_b T_a) tptp.tc_bool)) V_A T_b T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_OImage V_R V_A T_b T_a) (tptp.c_Relation_OImage V_S V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a27 (forall ((V_R $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_OImage V_R (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_OImage V_R V_A T_b T_a) (tptp.c_Relation_OImage V_R V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a28 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_y V_A T_a) T_a) (tptp.c_Set_Oinsert V_y (tptp.c_Set_Oinsert V_x V_A T_a) T_a))))
% 0.91/1.11  (assume a29 (forall ((V_x $$unsorted) (V_R $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup V_R V_S (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_x (tptp.c_Transitive__Closure_Ortrancl V_S T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a30 (forall ((V_x $$unsorted) (V_R $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup V_R V_S (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_x (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a31 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a32 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a33 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))))
% 0.91/1.11  (assume a34 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 0.91/1.11  (assume a35 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 0.91/1.11  (assume a36 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))))
% 0.91/1.11  (assume a37 (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.c_Relation_OId T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (tptp.c_Transitive__Closure_Ortrancl V_R T_a))))
% 0.91/1.11  (assume a38 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a39 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a40 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_x) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.91/1.11  (assume a41 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_x)) (tptp.c_lessequals V_x V_y T_a))))
% 0.91/1.11  (assume a42 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_y) (not (tptp.c_lessequals V_y V_x T_a)))))
% 0.91/1.11  (assume a43 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a44 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a45 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a46 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a47 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a) (not (tptp.c_lessequals V_b V_x T_a)) (not (tptp.c_lessequals V_a V_x T_a)))))
% 0.91/1.11  (assume a48 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 0.91/1.11  (assume a49 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 0.91/1.11  (assume a50 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) V_x T_a) (not (tptp.c_lessequals V_z V_x T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 0.91/1.11  (assume a51 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_z T_a)))))
% 0.91/1.11  (assume a52 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 0.91/1.11  (assume a53 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 0.91/1.11  (assume a54 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a55 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_x T_a)))))
% 0.91/1.11  (assume a56 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_x T_a)))))
% 0.91/1.11  (assume a57 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_z T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) T_a))))
% 0.91/1.11  (assume a58 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a59 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_OField (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.c_Relation_OField V_r T_a))))
% 0.91/1.11  (assume a60 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a61 (forall ((V_I $$unsorted) (V_J $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup V_I V_J (tptp.tc_fun T_a tptp.tc_bool)) V_C T_a T_b) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma V_I V_C T_a T_b) (tptp.c_Product__Type_OSigma V_J V_C T_a T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)))))
% 0.91/1.11  (assume a62 (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 0.91/1.11  (assume a63 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Set_Oinsert (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (tptp.c_Set_Oimage V_f V_A T_a T_b)) (not (tptp.c_in V_x V_A T_a)))))
% 0.91/1.11  (assume a64 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 0.91/1.11  (assume a65 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_in V_x V_A T_a) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a66 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 0.91/1.11  (assume a67 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 0.91/1.11  (assume a68 (forall ((V_r $$unsorted) (V_s $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf V_r V_s (tptp.tc_fun (tptp.tc_prod T_b T_a) tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.c_Relation_Oconverse V_s T_b T_a) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)))))
% 0.91/1.11  (assume a69 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_a V_A T_a))))
% 0.91/1.11  (assume a70 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_a V_C T_a))))
% 0.91/1.11  (assume a71 (forall ((V_S $$unsorted) (V_T $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_R $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup V_S V_T (tptp.tc_fun (tptp.tc_prod T_a T_c) tptp.tc_bool)) V_R T_a T_c T_b) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp V_S V_R T_a T_c T_b) (tptp.c_Relation_Orel__comp V_T V_R T_a T_c T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)))))
% 0.91/1.11  (assume a72 (forall ((V_R $$unsorted) (V_S $$unsorted) (V_T $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Orel__comp V_R (tptp.c_Lattices_Oupper__semilattice__class_Osup V_S V_T (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_bool)) T_a T_c T_b) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp V_R V_S T_a T_c T_b) (tptp.c_Relation_Orel__comp V_R V_T T_a T_c T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)))))
% 0.91/1.11  (assume a73 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Otrans (tptp.c_Relation_OId__on V_A T_a) T_a)))
% 0.91/1.11  (assume a74 (forall ((V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_OField (tptp.c_Lattices_Oupper__semilattice__class_Osup V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_OField V_r T_a) (tptp.c_Relation_OField V_s T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a75 (forall ((V_C $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals V_C V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a76 (forall ((V_C $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a77 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_a T_a) (not (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) T_a)))))
% 0.91/1.11  (assume a78 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_b T_a) (not (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) T_a)))))
% 0.91/1.11  (assume a79 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) V_x T_a) (not (tptp.c_lessequals V_a V_x T_a)))))
% 0.91/1.11  (assume a80 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) V_x T_a) (not (tptp.c_lessequals V_b V_x T_a)))))
% 0.91/1.11  (assume a81 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)))))
% 0.91/1.11  (assume a82 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)))))
% 0.91/1.11  (assume a83 (= (tptp.c_Relation_OField tptp.v_r tptp.t_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_ODomain tptp.v_r tptp.t_a tptp.t_a) (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))))
% 0.91/1.11  (assume a84 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a85 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))))
% 0.91/1.11  (assume a86 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))))
% 0.91/1.11  (assume a87 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)) T_a T_b) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_ODomain V_A T_a T_b) (tptp.c_Relation_ODomain V_B T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a88 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a89 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)))))
% 0.91/1.11  (assume a90 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)))))
% 0.91/1.11  (assume a91 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Finite__Set_Ofinite_Ofinite T_a)) (tptp.c_Finite__Set_Ofinite V_A T_a))))
% 0.91/1.11  (assume a92 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun (tptp.tc_prod T_b T_a) tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Relation_ORange V_A T_b T_a) (tptp.c_Relation_ORange V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a93 (forall ((V_R $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.c_Transitive__Closure_Ortrancl V_S T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup V_R V_S (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a))))
% 0.91/1.11  (assume a94 (forall ((V_B $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_B V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x))))))
% 0.91/1.11  (assume a95 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x))))))
% 0.91/1.11  (assume a96 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert (tptp.c_Pair V_a V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)) T_b T_a) (tptp.c_Set_Oinsert V_b (tptp.c_Relation_ORange V_r T_b T_a) T_a))))
% 0.91/1.11  (assume a97 (forall ((V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_Relation_Osym V_s T_a)) (not (tptp.c_Relation_Osym V_r T_a)))))
% 0.91/1.11  (assume a98 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Transitive__Closure_Otrancl V_r T_a) V_r) (not (tptp.c_Relation_Otrans V_r T_a)))))
% 0.91/1.11  (assume a99 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_G T_a)))))
% 0.91/1.11  (assume a100 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 0.91/1.11  (assume a101 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_c V_B T_a)) (not (tptp.c_in V_c V_A T_a)))))
% 0.91/1.11  (assume a102 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_c V_B T_a)) (not (tptp.c_in V_c V_A T_a)))))
% 0.91/1.11  (assume a103 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a) (not (tptp.c_in V_a V_A T_a)))))
% 0.91/1.11  (assume a104 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_B T_a) T_a) (not (tptp.c_in V_a V_B T_a)))))
% 0.91/1.11  (assume a105 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_c V_A T_a)))))
% 0.91/1.11  (assume a106 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_c V_B T_a)))))
% 0.91/1.11  (assume a107 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in V_a V_A T_a) (= V_a V_b) (not (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a)))))
% 0.91/1.11  (assume a108 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a) (not (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.91/1.11  (assume a109 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a)))
% 0.91/1.11  (assume a110 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_a (tptp.c_Set_Oinsert V_a V_B T_a) T_a)))
% 0.91/1.11  (assume a111 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_B T_a) T_a)))
% 0.91/1.11  (assume a112 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (not (tptp.c_in V_c (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.91/1.11  (assume a113 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_c V_A T_a) (not (tptp.c_in V_c (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.91/1.11  (assume a114 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_x V_A T_a) (tptp.c_Set_Oinsert V_x V_B T_a))) (tptp.c_in V_x V_B T_a) (tptp.c_in V_x V_A T_a) (= V_A V_B))))
% 0.91/1.11  (assume a115 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.c_in V_a V_A T_a)))))
% 0.91/1.11  (assume a116 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_aa $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x V_A T_aa)) (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_aa T_a) T_a))))
% 0.91/1.11  (assume a117 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x V_A T_b)) (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a))))
% 0.91/1.11  (assume a118 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a) (not (tptp.c_in V_x V_A T_b)))))
% 0.91/1.11  (assume a119 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (not (tptp.c_in V_x V_A T_a)))))
% 0.91/1.11  (assume a120 (forall ((V_R $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 V_R V_x V_y T_a) V_y T_a T_a) V_R (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a121 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.c_Product__Type_OSigma V_C V_D T_a T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)) (not (tptp.c_lessequals (tptp.hAPP V_B (tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 V_A V_B V_D T_a T_b)) (tptp.hAPP V_D (tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 V_A V_B V_D T_a T_b)) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a122 (forall ((V_R $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_R V_S (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp V_R V_S T_a T_a T_a) V_R (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))) (not (tptp.c_Wellfounded_Owf V_S T_a)) (not (tptp.c_Wellfounded_Owf V_R T_a)))))
% 0.91/1.11  (assume a123 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_s $$unsorted)) (or (tptp.c_lessequals (tptp.c_Transitive__Closure_Otrancl V_r T_a) V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Transitive__Closure_Otrancl V_r T_a) V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) V_r T_a T_a T_a) V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))) (not (tptp.c_lessequals V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a124 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.c_Relation_OId T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (tptp.c_Transitive__Closure_Ortrancl V_r T_a))))
% 0.91/1.11  (assume a125 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup V_r (tptp.c_Relation_OId T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a))))
% 0.91/1.11  (assume a126 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)) T_a T_b) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Relation_ODomain V_A T_a T_b) (tptp.c_Relation_ODomain V_B T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a127 (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a128 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oinsert V_a V_A T_a) T_a)))))
% 0.91/1.11  (assume a129 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oinsert V_a V_A T_a) T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.91/1.11  (assume a130 (forall ((V_r $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Relation_Otrans (tptp.c_Relation_Oinv__image V_r V_f T_a T_b) T_b) (not (tptp.c_Relation_Otrans V_r T_a)))))
% 0.91/1.11  (assume a131 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a132 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_G T_a)) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 0.91/1.11  (assume a133 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_G T_a)) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 0.91/1.11  (assume a134 (forall ((V_R $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Relation_OImage V_R (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Relation_OImage V_R V_A T_b T_a) (tptp.c_Relation_OImage V_R V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a135 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a136 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a137 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Otrans (tptp.c_Lattices_Oupper__semilattice__class_Osup V_r (tptp.c_Relation_OId T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_Relation_Otrans V_r T_a)))))
% 0.91/1.11  (assume a138 (forall ((V_B $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_B V_x)) (tptp.hBOOL (tptp.hAPP V_A V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x))))))
% 0.91/1.11  (assume a139 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_B V_x))))))
% 0.91/1.11  (assume a140 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 0.91/1.11  (assume a141 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_COMBK V_C (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_C (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.c_Product__Type_OSigma V_B (tptp.c_COMBK V_C (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)))))
% 0.91/1.11  (assume a142 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp V_r V_r T_a T_a T_a) V_r (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (not (tptp.c_Relation_Otrans V_r T_a)))))
% 0.91/1.11  (assume a143 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (or (tptp.c_Relation_Orefl__on (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_Relation_Orefl__on V_B V_s T_a)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))))
% 0.91/1.11  (assume a144 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)))))
% 0.91/1.11  (assume a145 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_z T_a) T_a)))))
% 0.91/1.11  (assume a146 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_z T_a) T_a)))))
% 0.91/1.11  (assume a147 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)))))
% 0.91/1.11  (assume a148 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a149 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a150 (forall ((V_F $$unsorted) (T_a $$unsorted) (V_G $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_F T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.91/1.11  (assume a151 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_F $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_G T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.91/1.11  (assume a152 (forall ((T_a $$unsorted)) (tptp.c_Relation_Otrans (tptp.c_Relation_OId T_a) T_a)))
% 0.91/1.11  (assume a153 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_OSigma (tptp.c_Set_Oinsert V_a V_A T_a) (tptp.c_COMBK (tptp.c_Set_Oinsert V_b V_B T_b) (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.c_Set_Oinsert (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK (tptp.c_Set_Oinsert V_b V_B T_b) (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.c_Product__Type_OSigma (tptp.c_Set_Oinsert V_a V_A T_a) (tptp.c_COMBK V_B (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)) (tptp.tc_prod T_a T_b)))))
% 0.91/1.11  (assume a154 (forall ((V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Otrans (tptp.c_Lattices_Olower__semilattice__class_Oinf V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_Relation_Otrans V_s T_a)) (not (tptp.c_Relation_Otrans V_r T_a)))))
% 0.91/1.11  (assume a155 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a) T_a))))
% 0.91/1.11  (assume a156 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) T_a) V_x))))
% 0.91/1.11  (assume a157 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) V_x))))
% 0.91/1.11  (assume a158 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_x) (not (tptp.c_lessequals V_y V_x T_a)))))
% 0.91/1.11  (assume a159 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y)) (tptp.c_lessequals V_x V_y T_a))))
% 0.91/1.11  (assume a160 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.91/1.11  (assume a161 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a162 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a163 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B)) (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a164 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (or (tptp.c_Relation_Orefl__on (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_Relation_Orefl__on V_B V_s T_a)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))))
% 0.91/1.11  (assume a165 (forall ((V_h $$unsorted) (V_F $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage V_h V_F T_a T_b) T_b) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 0.91/1.11  (assume a166 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.c_in V_a V_C T_a)))))
% 0.91/1.11  (assume a167 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.c_in V_a V_A T_a)))))
% 0.91/1.11  (assume a168 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Oinsert V_a V_B T_b) T_b T_a) (tptp.c_Set_Oinsert (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) T_a))))
% 0.91/1.11  (assume a169 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_C V_D (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_D (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a170 (forall ((V_r $$unsorted) (V_s $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup V_r V_s (tptp.tc_fun (tptp.tc_prod T_b T_a) tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.c_Relation_Oconverse V_s T_b T_a) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)))))
% 0.91/1.11  (assume a171 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_x T_a))))
% 0.91/1.11  (assume a172 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_y T_a))))
% 0.91/1.11  (assume a173 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (not (tptp.c_lessequals V_x V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.91/1.11  (assume a174 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (not (tptp.c_lessequals V_x V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.91/1.11  (assume a175 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) T_a) (not (tptp.c_lessequals V_x V_b T_a)) (not (tptp.c_lessequals V_x V_a T_a)))))
% 0.91/1.11  (assume a176 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_y T_a))))
% 0.91/1.11  (assume a177 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_x T_a))))
% 0.91/1.11  (assume a178 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a179 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a180 (forall ((V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_C (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a181 (forall ((V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_C (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a182 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_COMBK V_C (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_C (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.c_Product__Type_OSigma V_B (tptp.c_COMBK V_C (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)))))
% 0.91/1.11  (assume a183 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) V_x T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_z V_x T_a) T_a)))))
% 0.91/1.11  (assume a184 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 0.91/1.11  (assume a185 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a186 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a187 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_x V_A T_a) V_x))))
% 0.91/1.11  (assume a188 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_B T_a)))))
% 0.91/1.11  (assume a189 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a)))))
% 0.91/1.11  (assume a190 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a)))))
% 0.91/1.11  (assume a191 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a192 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_s $$unsorted)) (or (tptp.c_lessequals (tptp.c_Relation_OField V_r T_a) (tptp.c_Relation_OField V_s T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a193 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun (tptp.tc_prod T_b T_a) tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_ORange V_A T_b T_a) (tptp.c_Relation_ORange V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a194 (forall ((V_r $$unsorted) (V_r_H $$unsorted) (T_a $$unsorted)) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_r V_r_H (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a195 (forall ((V_r_H $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_r_H V_r (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a196 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_x T_a) V_x))))
% 0.91/1.11  (assume a197 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 0.91/1.11  (assume a198 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_OField V_r T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_ODomain V_r T_a T_a) (tptp.c_Relation_ORange V_r T_a T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a199 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y V_z T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a)))))
% 0.91/1.11  (assume a200 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a)))))
% 0.91/1.11  (assume a201 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) T_a) (not (tptp.c_lessequals V_x V_b T_a)))))
% 0.91/1.11  (assume a202 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) T_a) (not (tptp.c_lessequals V_x V_a T_a)))))
% 0.91/1.11  (assume a203 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_b V_x T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a)))))
% 0.91/1.11  (assume a204 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_a V_x T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a)))))
% 0.91/1.11  (assume a205 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a206 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a207 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_B T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a208 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 0.91/1.11  (assume a209 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_C V_D (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_D (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a210 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_B V_x))) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 0.91/1.11  (assume a211 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a212 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_x V_A (tptp.tc_fun T_b tptp.tc_bool))) (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_x T_b T_a) (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a213 (forall ((V_a $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_a V_C T_a) (tptp.c_Set_Oinsert V_a V_D T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_D (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a214 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_Relation_Otrans V_r T_a) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))))
% 0.91/1.11  (assume a215 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a216 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Relation_Otrans V_r T_a)))))
% 0.91/1.11  (assume a217 (forall ((V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_y $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_y V_z T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Relation_Otrans V_r T_a)))))
% 0.91/1.11  (assume a218 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_Wellfounded_Owf V_r T_a) (not (tptp.c_Wellfounded_Owf (tptp.c_Set_Oinsert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a)))))
% 0.91/1.11  (assume a219 (forall ((V_R $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp V_R V_R T_a T_a T_a) (tptp.c_Relation_Orel__comp V_S V_R T_a T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) V_S (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_R V_S (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a)))))
% 0.91/1.11  (assume a220 (forall ((V_R $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_R V_S (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a) (not (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp V_R V_R T_a T_a T_a) (tptp.c_Relation_Orel__comp V_S V_R T_a T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) V_S (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a)))))
% 0.91/1.11  (assume a221 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_r (tptp.c_Relation_Orel__comp (tptp.c_Transitive__Closure_Otrancl V_r T_a) V_r T_a T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)))))
% 0.91/1.11  (assume a222 (forall ((V_M $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Complete__Lattice_OInf__class_OInf V_M (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_x T_a)) (not (tptp.c_in V_x V_M (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a223 (forall ((V_r $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup V_r (tptp.c_Relation_Oconverse V_r T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a)))
% 0.91/1.11  (assume a224 (forall ((V_r $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf V_r (tptp.c_Relation_Oconverse V_r T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) T_a)))
% 0.91/1.11  (assume a225 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Relation_OImage (tptp.c_Relation_OId__on V_A T_a) V_B T_a T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a226 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.c_Relation_OId T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)))))
% 0.91/1.11  (assume a227 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_OId T_a) (tptp.c_Relation_Orel__comp (tptp.c_Transitive__Closure_Ortrancl V_r T_a) V_r T_a T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)))))
% 0.91/1.11  (assume a228 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_Wellfounded_Owf (tptp.c_Set_Oinsert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a)))))
% 0.91/1.11  (assume a229 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_Wellfounded_Owf (tptp.c_Set_Oinsert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a) (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a230 (forall ((V_x $$unsorted) (V_R $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 V_R V_x V_y T_a) T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a231 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.c_Product__Type_OSigma V_C V_D T_a T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool)) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 V_A V_B V_D T_a T_b) V_A T_a) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a232 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_f (tptp.c_FuncSet_OPi V_A (tptp.c_COMBK V_B (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.tc_fun T_a T_b)) (not (tptp.c_in (tptp.hAPP V_f (tptp.c_FuncSet_Osko__FuncSet__XfuncsetI__1__1 V_A V_B V_f T_a T_b)) V_B T_b)))))
% 0.91/1.11  (assume a233 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_f (tptp.c_FuncSet_OPi V_A (tptp.c_COMBK V_B (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.tc_fun T_a T_b)) (tptp.c_in (tptp.c_FuncSet_Osko__FuncSet__XfuncsetI__1__1 V_A V_B V_f T_a T_b) V_A T_a))))
% 0.91/1.11  (assume a234 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) V_B (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_in V_f (tptp.c_FuncSet_OPi V_A (tptp.c_COMBK V_B (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.tc_fun T_a T_b))))))
% 0.91/1.11  (assume a235 (forall ((V_r $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.c_Product__Type_OSigma (tptp.c_Relation_OField V_r T_a) (tptp.c_COMBK (tptp.c_Relation_OField V_r T_a) (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))
% 0.91/1.11  (assume a236 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_s $$unsorted)) (or (tptp.c_lessequals (tptp.c_Transitive__Closure_Ortrancl V_r T_a) V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Transitive__Closure_Ortrancl V_r T_a) V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) V_r T_a T_a T_a) V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))) (not (tptp.c_lessequals (tptp.c_Relation_OId T_a) V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a237 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse V_r T_a T_a) V_r T_a T_a T_a) V_r (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (not (tptp.c_Relation_Otrans V_r T_a)) (not (tptp.c_Relation_Osym V_r T_a)))))
% 0.91/1.11  (assume a238 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_Wellfounded_Owf V_r T_a) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1 V_A V_B V_r T_a) V_B T_a) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_B (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a239 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_Wellfounded_Owf V_r T_a) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1 V_A V_B V_r T_a) V_A T_a) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_B (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a240 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A V_r T_a) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1 V_A V_r T_a) V_A T_a) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a241 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A V_r T_a) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1 V_A V_r T_a) V_A T_a) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a242 (forall ((V_X $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_r $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_X T_a) (not (tptp.c_in V_X (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.91/1.11  (assume a243 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A V_r T_a) (not (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1 V_A V_r T_a) (tptp.c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1 V_A V_r T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a244 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A V_r T_a) (not (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1 V_A V_r T_a) (tptp.c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1 V_A V_r T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a245 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) (tptp.tc_prod T_a T_a)) (= V_a V_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a246 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) (tptp.tc_prod T_a T_a)) (= V_x V_y) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a247 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) (tptp.tc_prod T_a T_a))) (= V_x V_y))))
% 0.91/1.11  (assume a248 (forall ((V_x $$unsorted) (V_r $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 V_r V_x V_z T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a)) (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a249 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a250 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a251 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Complete__Lattice_OInf__class_OInf V_A (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_B V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a252 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.c_Relation_Orel__comp V_r (tptp.c_Transitive__Closure_Ortrancl V_r T_a) T_a T_a T_a))))
% 0.91/1.11  (assume a253 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.c_Relation_Orel__comp (tptp.c_Transitive__Closure_Ortrancl V_r T_a) V_r T_a T_a T_a))))
% 0.91/1.11  (assume a254 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_A (tptp.c_Complete__Lattice_OInf__class_OInf V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_A (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1 V_A V_C T_a) T_a)))))
% 0.91/1.11  (assume a255 (forall ((V_P $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 V_P V_r T_a) (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a256 (forall ((V_x $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 V_r V_x T_a) (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a257 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 V_P V_r)))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))))
% 0.91/1.11  (assume a258 (forall ((V_P $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 V_P V_r T_a)))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a259 (forall ((V_R $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 V_R V_x T_a) (tptp.c_Wellfounded_Oacc V_R T_a) T_a)) (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_R T_a) T_a))))
% 0.91/1.11  (assume a260 (forall ((V_P $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 V_P V_r T_a) (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a261 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 V_P V_r)))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))))
% 0.91/1.11  (assume a262 (forall ((V_P $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 V_P V_r T_a)))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a263 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (tptp.c_lessequals (tptp.c_Complete__Lattice_OInf__class_OInf V_A T_a) V_x T_a) (not (tptp.c_in V_x V_A T_a)))))
% 0.91/1.11  (assume a264 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_B (tptp.c_Complete__Lattice_OSup__class_OSup V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_B V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a265 (forall ((V_p $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_p (tptp.c_Transitive__Closure_Otrancl V_s T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_lessequals V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))) (not (tptp.c_in V_p (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a266 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 V_A V_b V_r T_b T_a) V_A T_b) (not (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a)))))
% 0.91/1.11  (assume a267 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 V_A V_b V_r T_b T_a) V_A T_b) (not (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a)))))
% 0.91/1.11  (assume a268 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_C (tptp.tc_fun T_a tptp.tc_bool) T_b) T_b T_a) (tptp.c_Product__Type_OSigma V_B (tptp.c_COMBK V_C (tptp.tc_fun T_a tptp.tc_bool) T_b) T_b T_a))) (not (tptp.c_in V_x V_C T_a)) (= V_A V_B))))
% 0.91/1.11  (assume a269 (forall ((V_Q $$unsorted) (V_R $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 V_Q V_R T_a) V_Q T_a) (not (tptp.c_in V_x V_Q T_a)) (not (tptp.c_Wellfounded_Owf V_R T_a)))))
% 0.91/1.11  (assume a270 (forall ((V_Q $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_xa $$unsorted)) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 V_Q V_r T_a) V_Q T_a) (not (tptp.c_in V_xa V_Q T_a)) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a271 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_A (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1 V_A V_C T_a) T_a) (not (tptp.c_in V_A (tptp.c_Complete__Lattice_OSup__class_OSup V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.91/1.11  (assume a272 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (tptp.c_lessequals V_x (tptp.c_Complete__Lattice_OSup__class_OSup V_A T_a) T_a) (not (tptp.c_in V_x V_A T_a)))))
% 0.91/1.11  (assume a273 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a274 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a275 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a276 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))
% 0.91/1.11  (assume a277 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))))
% 0.91/1.11  (assume a278 (forall ((V_R $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 V_R V_x V_y T_a) V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a279 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 0.91/1.11  (assume a280 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Transitive__Closure_Ortrancl V_r T_a) T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a))))
% 0.91/1.11  (assume a281 (forall ((V_r $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))))
% 0.91/1.11  (assume a282 (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Transitive__Closure_Otrancl V_R T_a) T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a))))
% 0.91/1.11  (assume a283 (forall ((V_r_H $$unsorted) (V_A_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals (tptp.c_Relation_OImage V_r_H V_A_H T_a T_b) (tptp.c_Relation_OImage V_r V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_A_H V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_r_H V_r (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool))))))
% 0.91/1.11  (assume a284 (forall ((V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_s $$unsorted)) (or (tptp.c_lessequals (tptp.c_Relation_ODomain V_r T_a T_b) (tptp.c_Relation_ODomain V_s T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool))))))
% 0.91/1.11  (assume a285 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 0.91/1.11  (assume a286 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 0.91/1.11  (assume a287 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 0.91/1.11  (assume a288 (forall ((V_p $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_Wellfounded_Owf V_p T_a) (not (tptp.c_lessequals V_p V_r (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a289 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a290 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a291 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a292 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x V_x (tptp.tc_fun T_a tptp.tc_bool))))
% 0.91/1.11  (assume a293 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.91/1.11  (assume a294 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 0.91/1.11  (assume a295 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Ortrancl V_r T_a) T_a T_a))))
% 0.91/1.11  (assume a296 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_s $$unsorted)) (or (tptp.c_lessequals (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.c_Transitive__Closure_Ortrancl V_s T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (not (tptp.c_lessequals V_r (tptp.c_Transitive__Closure_Ortrancl V_s T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a297 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a298 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 0.91/1.11  (assume a299 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.91/1.11  (assume a300 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.91/1.11  (assume a301 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a302 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a303 (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Orel__comp (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) T_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a))))
% 0.91/1.11  (assume a304 (forall ((V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp V_r V_s T_a T_b T_c) (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_C (tptp.tc_fun T_c tptp.tc_bool) T_a) T_a T_c) (tptp.tc_fun (tptp.tc_prod T_a T_c) tptp.tc_bool)) (not (tptp.c_lessequals V_s (tptp.c_Product__Type_OSigma V_B (tptp.c_COMBK V_C (tptp.tc_fun T_c tptp.tc_bool) T_b) T_b T_c) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_bool))) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_B (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool))))))
% 0.91/1.11  (assume a305 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_s $$unsorted)) (or (tptp.c_lessequals (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.c_Transitive__Closure_Ortrancl V_s T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (not (tptp.c_lessequals V_r V_s (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a306 (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl (tptp.c_Transitive__Closure_Ortrancl V_R T_a) T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a))))
% 0.91/1.11  (assume a307 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Orel__comp V_r (tptp.c_Transitive__Closure_Ortrancl V_r T_a) T_a T_a T_a) (tptp.c_Relation_Orel__comp (tptp.c_Transitive__Closure_Ortrancl V_r T_a) V_r T_a T_a T_a))))
% 0.91/1.11  (assume a308 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_C (tptp.tc_fun T_a tptp.tc_bool) T_b) T_b T_a) (tptp.c_Product__Type_OSigma V_B (tptp.c_COMBK V_C (tptp.tc_fun T_a tptp.tc_bool) T_b) T_b T_a) (tptp.tc_fun (tptp.tc_prod T_b T_a) tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_in V_x V_C T_a)))))
% 0.91/1.11  (assume a309 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_C (tptp.tc_fun T_a tptp.tc_bool) T_b) T_b T_a) (tptp.c_Product__Type_OSigma V_B (tptp.c_COMBK V_C (tptp.tc_fun T_a tptp.tc_bool) T_b) T_b T_a) (tptp.tc_fun (tptp.tc_prod T_b T_a) tptp.tc_bool))) (not (tptp.c_in V_x V_C T_a)))))
% 0.91/1.11  (assume a310 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Relation_OId__on V_A T_a) (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))
% 0.91/1.11  (assume a311 (forall ((V_r $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))))
% 0.91/1.11  (assume a312 (forall ((V_r_H $$unsorted) (V_s_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp V_r_H V_s_H T_a T_b T_c) (tptp.c_Relation_Orel__comp V_r V_s T_a T_b T_c) (tptp.tc_fun (tptp.tc_prod T_a T_c) tptp.tc_bool)) (not (tptp.c_lessequals V_s_H V_s (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_bool))) (not (tptp.c_lessequals V_r_H V_r (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool))))))
% 0.91/1.11  (assume a313 (forall ((V_P $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_Q $$unsorted)) (= (tptp.hAPP (tptp.c_COMBK V_P T_a T_b) V_Q) V_P)))
% 0.91/1.11  (assume a314 (forall ((V_r $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals (tptp.c_Relation_OImage V_r V_C T_a T_b) V_B (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_B (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_bool))))))
% 0.91/1.11  (assume a315 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Osym (tptp.c_Transitive__Closure_Ortrancl V_r T_a) T_a) (not (tptp.c_Relation_Osym V_r T_a)))))
% 0.91/1.11  (assume a316 (forall ((V_S $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (or (= (tptp.c_Transitive__Closure_Ortrancl V_S T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a)) (not (tptp.c_lessequals V_S (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))) (not (tptp.c_lessequals V_R V_S (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a317 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_a V_A T_a) (= V_a V_b) (not (tptp.c_lessequals V_r (tptp.c_Product__Type_OSigma V_A (tptp.c_COMBK V_A (tptp.tc_fun T_a tptp.tc_bool) T_a) T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a318 (forall ((V_R2 $$unsorted) (T_a $$unsorted) (V_R1 $$unsorted)) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc V_R2 T_a) (tptp.c_Wellfounded_Oacc V_R1 T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_R1 V_R2 (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool))))))
% 0.91/1.11  (assume a319 (forall ((V_f $$unsorted) (V_g $$unsorted) (V_r $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 V_f V_g V_r V_x T_a T_b)) (tptp.hAPP V_g (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 V_f V_g V_r V_x T_a T_b)))) (= (tptp.c_Recdef_Ocut V_f V_r V_x T_a T_b) (tptp.c_Recdef_Ocut V_g V_r V_x T_a T_b)))))
% 0.91/1.11  (assume a320 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x) T_b) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))))
% 0.91/1.11  (assume a321 (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_t V_B T_a) (not (tptp.c_in V_t V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a322 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_A T_a)))))
% 0.91/1.11  (assume a323 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a324 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a325 (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_p (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_p V_r (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a326 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a327 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a328 (forall ((V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_y $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_y V_z T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a329 (forall ((V_x $$unsorted) (V_R $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 V_R V_x V_y T_a) T_a T_a) V_R (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a330 (forall ((V_r $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 V_r V_x V_z T_a) V_z T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)) (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a331 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) V_r (tptp.tc_prod T_a T_a))) (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 V_r T_a) (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 V_r T_a) T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 0.91/1.11  (assume a332 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1 V_A V_C T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_A (tptp.c_Complete__Lattice_OSup__class_OSup V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.91/1.11  (assume a333 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a334 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a335 (forall ((V_a $$unsorted) (V_c $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 V_a V_c V_r V_s T_a T_b T_c) T_a T_c) V_r (tptp.tc_prod T_a T_c)) (not (tptp.c_in (tptp.c_Pair V_a V_c T_a T_b) (tptp.c_Relation_Orel__comp V_r V_s T_a T_c T_b) (tptp.tc_prod T_a T_b))))))
% 0.91/1.11  (assume a336 (forall ((V_a $$unsorted) (V_c $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 V_a V_c V_r V_s T_a T_b T_c) V_c T_c T_b) V_s (tptp.tc_prod T_c T_b)) (not (tptp.c_in (tptp.c_Pair V_a V_c T_a T_b) (tptp.c_Relation_Orel__comp V_r V_s T_a T_c T_b) (tptp.tc_prod T_a T_b))))))
% 0.91/1.11  (assume a337 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in V_f (tptp.c_FuncSet_OPi V_A V_B T_a T_b) (tptp.tc_fun T_a T_b)) (not (tptp.c_in (tptp.hAPP V_f (tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 V_A V_B V_f T_a T_b)) (tptp.hAPP V_B (tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 V_A V_B V_f T_a T_b)) T_b)))))
% 0.91/1.11  (assume a338 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_x) V_B T_b) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_in V_f (tptp.c_FuncSet_OPi V_A (tptp.c_COMBK V_B (tptp.tc_fun T_b tptp.tc_bool) T_a) T_a T_b) (tptp.tc_fun T_a T_b))))))
% 0.91/1.11  (assume a339 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in V_f (tptp.c_FuncSet_OPi V_A V_B T_a T_b) (tptp.tc_fun T_a T_b)) (not (tptp.c_in (tptp.hAPP V_f (tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 V_A V_B V_f T_a T_b)) (tptp.hAPP V_B (tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 V_A V_B V_f T_a T_b)) T_b)))))
% 0.91/1.11  (assume a340 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in V_f (tptp.c_FuncSet_OPi V_A V_B T_a T_b) (tptp.tc_fun T_a T_b)) (tptp.c_in (tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 V_A V_B V_f T_a T_b) V_A T_a))))
% 0.91/1.11  (assume a341 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in V_f (tptp.c_FuncSet_OPi V_A V_B T_a T_b) (tptp.tc_fun T_a T_b)) (tptp.c_in (tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 V_A V_B V_f T_a T_b) V_A T_a))))
% 0.91/1.11  (assume a342 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_List_Osko__Equiv__Relations__XquotientE__1__1 V_A V_X V_r T_a) V_A T_a) (not (tptp.c_in V_X (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a343 (forall ((V_p $$unsorted) (T_a $$unsorted)) (or (= V_p (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 V_p T_a) (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 V_p T_a) T_a T_a)) (not (tptp.c_in V_p (tptp.c_Relation_OId T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a344 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_A (tptp.c_Complete__Lattice_OInf__class_OInf V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1 V_A V_C T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.91/1.11  (assume a345 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Wellfounded_Owf V_r T_a) (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 V_r T_a) (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a346 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Wellfounded_Owf V_r T_a) (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 V_r T_a) (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a347 (forall ((V_A $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 V_A V_c T_a) V_A T_a) (not (tptp.c_in V_c (tptp.c_Relation_OId__on V_A T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a348 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_c (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 V_A V_c T_a) (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 V_A V_c T_a) T_a T_a)) (not (tptp.c_in V_c (tptp.c_Relation_OId__on V_A T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a349 (forall ((V_f $$unsorted) (V_r $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_g $$unsorted)) (or (= (tptp.c_Recdef_Ocut V_f V_r V_x T_a T_b) (tptp.c_Recdef_Ocut V_g V_r V_x T_a T_b)) (tptp.c_in (tptp.c_Pair (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 V_f V_g V_r V_x T_a T_b) V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)))))
% 0.91/1.11  (assume a350 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals V_r (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse V_r T_a T_a) V_r T_a T_a T_a) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_bool)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))))
% 0.91/1.11  (assume a351 (= (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_b) (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse tptp.v_r tptp.t_a tptp.t_b) tptp.t_b tptp.t_a)))
% 0.91/1.11  (assume a352 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Nitpick_Orefl_H V_r T_a) (not (tptp.c_in (tptp.c_Pair (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 V_r T_a) (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 V_r T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a353 (forall ((V_y $$unsorted) (V_Q $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_xa $$unsorted)) (or (not (tptp.c_in V_y V_Q T_a)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 V_Q V_r T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_xa V_Q T_a)) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a354 (forall ((V_y $$unsorted) (V_Q $$unsorted) (T_a $$unsorted) (V_R $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in V_y V_Q T_a)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 V_Q V_R T_a) T_a T_a) V_R (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_x V_Q T_a)) (not (tptp.c_Wellfounded_Owf V_R T_a)))))
% 0.91/1.11  (assume a355 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 V_A V_b V_r T_b T_a) V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)) (not (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a)))))
% 0.91/1.11  (assume a356 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 V_A V_b V_r T_b T_a) V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)) (not (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a)))))
% 0.91/1.11  (assume a357 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (or (= V_x V_y) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))) (tptp.c_in V_x (tptp.c_Relation_ODomain V_R T_a T_a) T_a))))
% 0.91/1.11  (assume a358 (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 V_a V_r T_a T_b) T_a T_b) V_r (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a)))))
% 0.91/1.11  (assume a359 (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 V_a V_r T_a T_b) T_a T_b) V_r (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a)))))
% 0.91/1.11  (assume a360 (forall ((V_x $$unsorted) (V_R $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Relation_ODomain V_R T_a T_a) T_a) (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a)))))
% 0.91/1.11  (assume a361 (forall ((V_P $$unsorted) (V_a $$unsorted) (V_y $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 V_P V_r T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a362 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_ya $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.c_in V_ya (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a) (not (tptp.c_in (tptp.c_Pair V_ya (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))))
% 0.91/1.11  (assume a363 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))))
% 0.91/1.11  (assume a364 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_ya $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.c_in V_ya (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a) (not (tptp.c_in (tptp.c_Pair V_ya (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))))
% 0.91/1.11  (assume a365 (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_b (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (not (tptp.c_in (tptp.c_Pair V_b V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a366 (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_b (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a367 (forall ((V_x $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 V_r V_x T_a) V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)))))
% 0.91/1.11  (assume a368 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))))
% 0.91/1.11  (assume a369 (forall ((V_P $$unsorted) (V_a $$unsorted) (V_y $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 V_P V_r T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a370 (forall ((V_R $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 V_R V_x T_a) V_x T_a T_a) V_R (tptp.tc_prod T_a T_a)) (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_R T_a) T_a))))
% 0.91/1.11  (assume a371 (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 V_a V_r T_a T_b) V_a T_b T_a) V_r (tptp.tc_prod T_b T_a)) (not (tptp.c_in V_a (tptp.c_Relation_ORange V_r T_b T_a) T_a)))))
% 0.91/1.11  (assume a372 (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 V_b V_r T_a T_b) V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)) (not (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_b T_a) T_a)))))
% 0.91/1.11  (assume a373 (forall ((V_x $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_a T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_x T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a374 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a375 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a376 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a377 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_b V_a T_b T_a) V_r (tptp.tc_prod T_b T_a)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b))))))
% 0.91/1.11  (assume a378 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_b V_a T_b T_a) (tptp.c_Relation_Oconverse V_r T_a T_b) (tptp.tc_prod T_b T_a)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))))
% 0.91/1.11  (assume a379 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b)) (not (tptp.c_in (tptp.c_Pair V_b V_a T_b T_a) V_r (tptp.tc_prod T_b T_a))))))
% 0.91/1.11  (assume a380 (forall ((V_f $$unsorted) (V_r $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut V_f V_r V_a T_a T_b) V_x) (tptp.hAPP V_f V_x)) (not (tptp.c_in (tptp.c_Pair V_x V_a T_a T_a) V_r (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a381 (forall ((V_f $$unsorted) (V_R $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut V_f V_R V_a T_a T_b) V_x) (tptp.hAPP V_f V_x)) (not (tptp.c_in (tptp.c_Pair V_x V_a T_a T_a) V_R (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a382 (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_p (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_p V_r (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a383 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a384 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a385 (forall ((V_x $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a386 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Osym (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a) (not (tptp.c_Relation_Osym V_r T_a)))))
% 0.91/1.11  (assume a387 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Osym V_r T_a) (not (tptp.c_Relation_Osym (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)))))
% 0.91/1.11  (assume a388 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Osym (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (not (tptp.c_Relation_Osym V_r T_a)))))
% 0.91/1.11  (assume a389 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) (tptp.c_Relation_ODomain V_r T_a T_a))))
% 0.91/1.11  (assume a390 (forall ((T_a $$unsorted)) (tptp.c_Relation_Osym (tptp.c_Relation_OId T_a) T_a)))
% 0.91/1.11  (assume a391 (forall ((T_a $$unsorted) (V_R $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_OId T_a) V_R T_a T_a T_b) V_R)))
% 0.91/1.11  (assume a392 (forall ((V_R $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Orel__comp V_R (tptp.c_Relation_OId T_b) T_a T_b T_b) V_R)))
% 0.91/1.11  (assume a393 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Wellfounded_Owf (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) T_a) (not (tptp.c_Wellfounded_Owf (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)))))
% 0.91/1.11  (assume a394 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A V_r T_a) (not (tptp.c_Relation_Orefl__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)))))
% 0.91/1.11  (assume a395 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))))
% 0.91/1.11  (assume a396 (forall ((V_R $$unsorted) (T_a $$unsorted)) (or (tptp.c_Wellfounded_Owf (tptp.c_Relation_Orel__comp V_R V_R T_a T_a T_a) T_a) (not (tptp.c_Wellfounded_Owf V_R T_a)))))
% 0.91/1.11  (assume a397 (forall ((V_R $$unsorted) (T_a $$unsorted)) (or (tptp.c_Wellfounded_Owf V_R T_a) (not (tptp.c_Wellfounded_Owf (tptp.c_Relation_Orel__comp V_R V_R T_a T_a T_a) T_a)))))
% 0.91/1.11  (assume a398 (forall ((T_a $$unsorted) (V_A $$unsorted)) (= (tptp.c_Relation_OImage (tptp.c_Relation_OId T_a) V_A T_a T_a) V_A)))
% 0.91/1.11  (assume a399 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Relation_OId__on V_A T_a) T_a T_a) V_A)))
% 0.91/1.11  (assume a400 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Relation_Oconverse V_r T_a T_a) V_r) (not (tptp.c_Relation_Osym V_r T_a)))))
% 0.91/1.11  (assume a401 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Relation_Oconverse V_r T_a T_a) V_r)) (tptp.c_Relation_Osym V_r T_a))))
% 0.91/1.11  (assume a402 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) (tptp.c_Relation_ORange V_r T_a T_a))))
% 0.91/1.11  (assume a403 (forall ((V_r $$unsorted) (V_s $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp V_r V_s T_b T_c T_a) T_b T_a) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse V_s T_c T_a) (tptp.c_Relation_Oconverse V_r T_b T_c) T_a T_c T_b))))
% 0.91/1.11  (assume a404 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Osym (tptp.c_Relation_OId__on V_A T_a) T_a)))
% 0.91/1.11  (assume a405 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Orefl__on V_A (tptp.c_Relation_OId__on V_A T_a) T_a)))
% 0.91/1.11  (assume a406 (forall ((V_r $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Wellfounded_Owf (tptp.c_Relation_Oinv__image V_r V_f T_a T_b) T_b) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a407 (forall ((V_r $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Relation_Osym (tptp.c_Relation_Oinv__image V_r V_f T_a T_b) T_b) (not (tptp.c_Relation_Osym V_r T_a)))))
% 0.91/1.11  (assume a408 (forall ((T_a $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_OId T_a) T_a T_a) (tptp.c_Relation_OId T_a))))
% 0.91/1.11  (assume a409 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Wellfounded_Owf (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a410 (forall ((V_R $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (V_T $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp V_R V_S T_a T_d T_c) V_T T_a T_c T_b) (tptp.c_Relation_Orel__comp V_R (tptp.c_Relation_Orel__comp V_S V_T T_d T_c T_b) T_a T_d T_b))))
% 0.91/1.11  (assume a411 (forall ((V_R $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image V_R V_f T_b T_a) T_a T_a) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse V_R T_b T_b) V_f T_b T_a))))
% 0.91/1.11  (assume a412 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a))))
% 0.91/1.11  (assume a413 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_OId__on V_A T_a) T_a T_a) (tptp.c_Relation_OId__on V_A T_a))))
% 0.91/1.11  (assume a414 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse V_r T_a T_a) V_r T_a T_a T_a) V_r)) (tptp.c_Equiv__Relations_Oequiv (tptp.c_Relation_ODomain V_r T_a T_a) V_r T_a))))
% 0.91/1.11  (assume a415 (forall ((V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Relation_Oconverse V_r T_a T_b) T_b T_a) (tptp.c_Relation_ODomain V_r T_a T_b))))
% 0.91/1.11  (assume a416 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Relation_OId__on V_A T_a) T_a T_a) V_A)))
% 0.91/1.11  (assume a417 (forall ((V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oconverse V_r T_a T_b) T_b T_a) V_r)))
% 0.91/1.11  (assume a418 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse V_r T_a T_a) V_r T_a T_a T_a) V_r) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))))
% 0.91/1.11  (assume a419 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A V_r T_a) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))))
% 0.91/1.11  (assume a420 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a) (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))))
% 0.91/1.11  (assume a421 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_Relation_Osym V_r T_a) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))))
% 0.91/1.11  (assume a422 (forall ((V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse V_r T_b T_a) T_a T_b) (tptp.c_Relation_ORange V_r T_b T_a))))
% 0.91/1.11  (assume a423 (forall ((V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange V_r T_b T_a) (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse V_r T_b T_a) T_a T_b))))
% 0.91/1.11  (assume a424 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Ototal__on V_A V_r T_a) (not (tptp.c_Relation_Ototal__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)))))
% 0.91/1.11  (assume a425 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Ototal__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (not (tptp.c_Relation_Ototal__on V_A V_r T_a)))))
% 0.91/1.11  (assume a426 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (= V_x V_y) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Relation_OId__on V_A T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a427 (forall ((V_f $$unsorted) (V_r $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_g $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Recdef_Ocut V_f V_r V_x T_a T_b) (tptp.c_Recdef_Ocut V_g V_r V_x T_a T_b))) (= (tptp.hAPP V_f V_y) (tptp.hAPP V_g V_y)) (not (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a428 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (or (= V_a V_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Relation_OId T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a429 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_Nitpick_Orefl_H V_r T_a)))))
% 0.91/1.11  (assume a430 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Wellfounded_Owf V_r T_a)))))
% 0.91/1.11  (assume a431 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Relation_Oinv__image V_r V_f T_b T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y) T_b T_b) V_r (tptp.tc_prod T_b T_b))))))
% 0.91/1.11  (assume a432 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y) T_b T_b) V_r (tptp.tc_prod T_b T_b)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Relation_Oinv__image V_r V_f T_b T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a433 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Relation_Osym V_r T_a)))))
% 0.91/1.11  (assume a434 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_b V_a T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Relation_Osym V_r T_a)))))
% 0.91/1.11  (assume a435 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_b $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_c) (tptp.c_Relation_Orel__comp V_r V_s T_a T_b T_c) (tptp.tc_prod T_a T_c)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_b T_c) V_s (tptp.tc_prod T_b T_c))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))))
% 0.91/1.11  (assume a436 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_R $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_R (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_R (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a437 (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a438 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Relation_OId T_a) (tptp.tc_prod T_a T_a))))
% 0.91/1.11  (assume a439 (forall ((V_a $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) (tptp.c_Relation_OId T_a) (tptp.tc_prod T_a T_a))))
% 0.91/1.11  (assume a440 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_x) (tptp.hAPP V_B V_x) T_b) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_in V_f (tptp.c_FuncSet_OPi V_A V_B T_a T_b) (tptp.tc_fun T_a T_b))))))
% 0.91/1.11  (assume a441 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_B $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_x V_A T_a)) (tptp.c_in (tptp.hAPP V_f V_x) (tptp.hAPP V_B V_x) T_b) (not (tptp.c_in V_f (tptp.c_FuncSet_OPi V_A V_B T_a T_b) (tptp.tc_fun T_a T_b))))))
% 0.91/1.11  (assume a442 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (= V_X V_Y) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_y V_Y T_a)) (not (tptp.c_in V_x V_X T_a)) (not (tptp.c_in V_Y (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_X (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))))
% 0.91/1.11  (assume a443 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_A $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in V_y V_x T_a)) (not (tptp.c_in V_xa V_x T_a)) (not (tptp.c_in V_x (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)) (tptp.c_in (tptp.c_Pair V_xa V_y T_a T_a) V_r (tptp.tc_prod T_a T_a)))))
% 0.91/1.11  (assume a444 (forall ((V_A $$unsorted) (V_X $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_in V_A V_X T_a) (not (tptp.c_in V_X V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_A (tptp.c_Complete__Lattice_OInf__class_OInf V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.91/1.11  (assume a445 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_A (tptp.c_Complete__Lattice_OSup__class_OSup V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_A V_X T_a)) (not (tptp.c_in V_X V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.91/1.11  (assume a446 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_z $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omktop V_L V_z) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_y) (= V_x V_z))))
% 0.91/1.11  (assume a447 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_z $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omktop V_L V_z) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_y V_z) (= V_x V_z))))
% 0.91/1.11  (assume a448 (forall ((V_x $$unsorted) (V_L $$unsorted)) (not (tptp.c_in (tptp.c_Pair V_x V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omktop V_L V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a449 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omktop V_L V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a450 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_z $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_y V_z) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omktop V_L V_z) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))))
% 0.91/1.11  (assume a451 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted)) (or (= V_x V_y) (= V_y V_x) (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omkbot V_L V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a452 (forall ((V_x $$unsorted) (V_L $$unsorted)) (not (tptp.c_in (tptp.c_Pair V_x V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omkbot V_L V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a453 (forall ((V_xa $$unsorted) (V_x $$unsorted) (V_L $$unsorted)) (not (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omkbot V_L V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a454 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_z $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omkbot V_L V_z) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_y) (= V_y V_z))))
% 0.91/1.11  (assume a455 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_z $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omkbot V_L V_z) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_z) (= V_y V_z))))
% 0.91/1.11  (assume a456 (forall ((V_xa $$unsorted) (V_x $$unsorted) (V_L $$unsorted)) (or (= V_xa V_x) (= V_xa V_x) (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omktop V_L V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a457 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_z $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_x V_z) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Omkbot V_L V_z) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))))
% 0.91/1.11  (assume a458 (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b))))
% 0.91/1.11  (assume a459 (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b))))
% 0.91/1.11  (assume a460 (forall ((V_L $$unsorted) (V_x $$unsorted)) (or (tptp.c_in (tptp.c_Arrow__Order__Mirabelle_Omktop V_L V_x) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))))))
% 0.91/1.11  (assume a461 (forall ((V_L $$unsorted) (V_x $$unsorted)) (or (tptp.c_in (tptp.c_Arrow__Order__Mirabelle_Omkbot V_L V_x) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))))))
% 0.91/1.11  (assume a462 (forall ((V_L $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_in (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_x V_y) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_y))))
% 0.91/1.11  (assume a463 (tptp.c_in tptp.v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1 tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)))
% 0.91/1.11  (assume a464 (forall ((V_L $$unsorted)) (or (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (not (tptp.c_in (tptp.c_Relation_Oconverse V_L tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))))))
% 0.91/1.11  (assume a465 (forall ((V_L $$unsorted)) (or (tptp.c_in (tptp.c_Relation_Oconverse V_L tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))))))
% 0.91/1.11  (assume a466 (forall ((V_L $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_in (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_x V_y) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_y))))
% 0.91/1.11  (assume a467 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b)) (not (tptp.c_in V_a V_A T_a)))))
% 0.91/1.11  (assume a468 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b)) (not (tptp.c_in V_a V_A T_a)))))
% 0.91/1.11  (assume a469 (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_b (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a470 (forall ((V_y $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_y (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (not (tptp.c_in (tptp.c_Pair V_y V_a T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))))
% 0.91/1.11  (assume a471 (forall ((V_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_a T_b) T_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))) (not (tptp.c_in V_a V_A T_a)))))
% 0.91/1.11  (assume a472 (forall ((V_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a) (not (tptp.c_in (tptp.c_Pair V_x V_b T_b T_a) V_r (tptp.tc_prod T_b T_a))) (not (tptp.c_in V_x V_A T_b)))))
% 0.91/1.11  (assume a473 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (or (tptp.c_in V_x V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Relation_OId__on V_A T_a) (tptp.tc_prod T_a T_a))))))
% 0.91/1.11  (assume a474 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Relation_OId__on V_A T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_x V_A T_a)))))
% 0.91/1.11  (assume a475 (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_y V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))))
% 0.91/1.11  (assume a476 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_x V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))))
% 0.91/1.11  (assume a477 (forall ((V_a $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_a (tptp.c_Relation_ORange V_r T_b T_a) T_a) (not (tptp.c_in (tptp.c_Pair V_x V_a T_b T_a) V_r (tptp.tc_prod T_b T_a))))))
% 0.91/1.11  (assume a478 (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_a T_b) T_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))))
% 0.91/1.11  (assume a479 (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a) (not (tptp.c_in (tptp.c_Pair V_a V_x T_a T_b) V_r (tptp.tc_prod T_a T_b))))))
% 0.91/1.11  (assume a480 (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted)) (or (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))))
% 0.91/1.11  (assume a481 (forall ((V_b $$unsorted) (V_B $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b))))))
% 0.91/1.11  (assume a482 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_a V_A T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b))))))
% 0.91/1.11  (assume a483 (forall ((V_xa $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_xa V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) (tptp.c_in (tptp.c_Pair V_x V_xa T_a T_a) V_r (tptp.tc_prod T_a T_a)) (= V_x V_xa) (not (tptp.c_in V_xa V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Relation_Ototal__on V_A V_r T_a)))))
% 0.91/1.11  (assume a484 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))))
% 0.91/1.11  (assume a485 (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_y V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))))
% 0.91/1.11  (assume a486 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_x V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))))
% 0.91/1.11  (assume a487 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_a V_A T_a)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))))
% 0.91/1.11  (assume a488 (forall ((V_x $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a489 (forall ((V_xa $$unsorted) (V_a $$unsorted) (V_L $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xa V_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_xa V_x) (= V_xa V_x) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_x) (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a490 (forall ((V_x $$unsorted) (V_b $$unsorted) (V_y $$unsorted) (V_L $$unsorted)) (or (= V_x V_b) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_b) (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_x V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))))
% 0.91/1.11  (assume a491 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_y V_b) (= V_x V_b) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a492 (forall ((V_xa $$unsorted) (V_x $$unsorted) (V_L $$unsorted) (V_a $$unsorted)) (or (= V_xa V_x) (not (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_x) (tptp.c_in (tptp.c_Pair V_xa V_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_xa V_a))))
% 0.91/1.11  (assume a493 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_x) (tptp.c_in (tptp.c_Pair V_a V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a494 (forall ((V_b $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_b V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.c_Pair V_x V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_b) (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_x V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a495 (forall ((V_xa $$unsorted) (V_x $$unsorted) (V_L $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_xa V_x) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_x) (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_a V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))))
% 0.91/1.11  (assume a496 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_a) (not (tptp.c_in (tptp.c_Pair V_x V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a497 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.c_Pair V_b V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_y V_a) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a498 (forall ((V_xa $$unsorted) (V_x $$unsorted) (V_L $$unsorted)) (or (= V_xa V_x) (= V_x V_xa) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_xa) (tptp.c_in (tptp.c_Pair V_x V_xa tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_x V_xa) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a499 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.c_Pair V_x V_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.c_Pair V_a V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a500 (forall ((V_xa $$unsorted) (V_x $$unsorted) (V_L $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_xa V_x) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_xa V_x) (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_xa V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a501 (forall ((V_a $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_x) (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a502 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_y V_b) (= V_x V_b) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a503 (forall ((V_x $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a504 (forall ((V_b $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_b V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_y V_x) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_b) (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_x V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a505 (forall ((V_x $$unsorted) (V_a $$unsorted) (V_xa $$unsorted) (V_L $$unsorted)) (or (= V_x V_a) (= V_xa V_x) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_x) (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_a V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))))
% 0.91/1.11  (assume a506 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_x V_a) (= V_y V_a) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a507 (forall ((V_y $$unsorted) (V_x $$unsorted) (V_L $$unsorted) (V_b $$unsorted)) (or (= V_y V_x) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_x V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_b) (tptp.c_in (tptp.c_Pair V_b V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_y V_b))))
% 0.91/1.11  (assume a508 (forall ((V_xa $$unsorted) (V_x $$unsorted) (V_L $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_x V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_b) (tptp.c_in (tptp.c_Pair V_xa V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a509 (forall ((V_xa $$unsorted) (V_a $$unsorted) (V_L $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xa V_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.c_Pair V_a V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_xa V_x) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_x) (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a510 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_b) (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_x V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))))
% 0.91/1.11  (assume a511 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_y V_b) (not (tptp.c_in (tptp.c_Pair V_a V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a512 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.c_Pair V_x V_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_b) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a513 (forall ((V_xa $$unsorted) (V_x $$unsorted) (V_L $$unsorted)) (or (= V_xa V_x) (= V_xa V_x) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_xa V_x) (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Oabove V_L V_xa V_x) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a514 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.c_Pair V_b V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.c_Pair V_x V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a515 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_L $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_xa tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_xa) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_xa) (tptp.c_in (tptp.c_Pair V_x V_xa tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_x V_xa) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a516 (forall ((V_xa $$unsorted) (V_b $$unsorted) (V_L $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xa V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_xa V_x) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_x V_b) (tptp.c_in (tptp.c_Pair V_xa V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_x V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))
% 0.91/1.11  (assume a517 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_a) (= V_y V_a) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (= V_a V_b))))
% 0.91/1.11  (assume a518 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_b V_b_H))))
% 0.91/1.11  (assume a519 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_a V_a_H))))
% 0.91/1.11  (assume a520 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_L $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.c_Pair V_y V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))))))
% 0.91/1.11  (assume a521 (forall ((V_y $$unsorted) (V_x $$unsorted) (V_L $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_y V_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_x V_y) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))))))
% 0.91/1.11  (assume a522 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x V_S T_a) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))))
% 0.91/1.11  (assume a523 (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.c_in V_x V_S T_a)))))
% 0.91/1.11  (assume a524 (forall ((V_Lab $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))))
% 0.91/1.11  (assume a525 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_L $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_b V_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_L (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in V_L tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))))))
% 0.91/1.11  (assume a526 (not (= tptp.v_a____ tptp.v_b____)))
% 0.91/1.11  (assume a527 (not tptp.v_thesis____))
% 0.91/1.11  (assume a528 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_prod T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_2)))))
% 0.91/1.11  (assume a529 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Complete__Lattice_Ocomplete__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_1)))))
% 0.91/1.11  (assume a530 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Oupper__semilattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 0.91/1.11  (assume a531 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olower__semilattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 0.91/1.11  (assume a532 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Odistrib__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Odistrib__lattice T_1)))))
% 0.91/1.11  (assume a533 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_fun T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_2)))))
% 0.91/1.11  (assume a534 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))))
% 0.91/1.11  (assume a535 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 0.91/1.11  (assume a536 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))))
% 0.91/1.11  (assume a537 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Oord (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Oord T_1)))))
% 0.91/1.11  (assume a538 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool))
% 0.91/1.11  (assume a539 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool))
% 0.91/1.11  (assume a540 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool))
% 0.91/1.11  (assume a541 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool))
% 0.91/1.11  (assume a542 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool))
% 0.91/1.11  (assume a543 (tptp.class_Orderings_Opreorder tptp.tc_bool))
% 0.91/1.11  (assume a544 (tptp.class_Lattices_Olattice tptp.tc_bool))
% 0.91/1.11  (assume a545 (tptp.class_Orderings_Oorder tptp.tc_bool))
% 0.91/1.11  (assume a546 (tptp.class_HOL_Oord tptp.tc_bool))
% 0.91/1.11  (assume a547 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_fequal V_x V_x T_a)))
% 0.91/1.11  (assume a548 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.c_fequal V_X V_Y T_a)))))
% 0.91/1.11  (step t1 (cl (not (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))) :rule or_pos)
% 0.91/1.11  (step t2 (cl (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) :rule reordering :premises (t1))
% 0.91/1.11  (step t3 (cl (not (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____)) :rule or_pos)
% 0.91/1.11  (step t4 (cl (= tptp.v_a____ tptp.v_b____) (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (not (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____)))) :rule reordering :premises (t3))
% 0.91/1.11  (step t5 (cl (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b)))) :rule implies_neg1)
% 0.91/1.11  (anchor :step t6)
% 0.91/1.11  (assume t6.a0 (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b))))
% 0.91/1.11  (step t6.t1 (cl (or (not (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b)))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____)))) :rule forall_inst :args ((:= V_a tptp.v_a____) (:= V_b tptp.v_b____)))
% 0.91/1.11  (step t6.t2 (cl (not (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b)))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) :rule or :premises (t6.t1))
% 0.91/1.11  (step t6.t3 (cl (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) :rule resolution :premises (t6.t2 t6.a0))
% 0.91/1.11  (step t6 (cl (not (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b)))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) :rule subproof :discharge (t6.a0))
% 0.91/1.11  (step t7 (cl (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) :rule resolution :premises (t5 t6))
% 0.91/1.11  (step t8 (cl (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) (not (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____)))) :rule implies_neg2)
% 0.91/1.11  (step t9 (cl (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____)))) :rule resolution :premises (t7 t8))
% 0.91/1.11  (step t10 (cl (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____)))) :rule contraction :premises (t9))
% 0.91/1.11  (step t11 (cl (not (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= V_a V_b)))) (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) :rule implies :premises (t10))
% 0.91/1.11  (step t12 (cl (or (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) (= tptp.v_a____ tptp.v_b____))) :rule resolution :premises (t11 a459))
% 0.91/1.11  (step t13 (cl (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) :rule resolution :premises (t4 a526 t12))
% 0.91/1.11  (step t14 (cl (=> (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) :rule implies_neg1)
% 0.91/1.11  (anchor :step t15)
% 0.91/1.11  (assume t15.a0 (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))))
% 0.91/1.11  (step t15.t1 (cl (or (not (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) :rule forall_inst :args ((:= V_Lab (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____))))
% 0.91/1.11  (step t15.t2 (cl (not (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) :rule or :premises (t15.t1))
% 0.91/1.11  (step t15.t3 (cl (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) :rule resolution :premises (t15.t2 t15.a0))
% 0.91/1.11  (step t15 (cl (not (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) :rule subproof :discharge (t15.a0))
% 0.91/1.11  (step t16 (cl (=> (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) :rule resolution :premises (t14 t15))
% 0.91/1.11  (step t17 (cl (=> (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (not (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) :rule implies_neg2)
% 0.91/1.11  (step t18 (cl (=> (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (=> (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) :rule resolution :premises (t16 t17))
% 0.91/1.11  (step t19 (cl (=> (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) :rule contraction :premises (t18))
% 0.91/1.11  (step t20 (cl (not (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) :rule implies :premises (t19))
% 0.91/1.11  (step t21 (cl (not (= (forall ((V_Lab $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (or tptp.v_thesis____ (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))))) (not (forall ((V_Lab $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) (or tptp.v_thesis____ (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))))) :rule equiv_pos2)
% 0.91/1.11  (step t22 (cl (= (forall ((V_Lab $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) (or tptp.v_thesis____ (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))))) :rule all_simplify)
% 0.91/1.11  (step t23 (cl (or tptp.v_thesis____ (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))))) :rule resolution :premises (t21 t22 a524))
% 0.91/1.11  (step t24 (cl tptp.v_thesis____ (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) :rule or :premises (t23))
% 0.91/1.11  (step t25 (cl (forall ((V_Lab $$unsorted)) (or (not (tptp.c_in V_Lab tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_Lab (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)))))) :rule resolution :premises (t24 a527))
% 0.91/1.11  (step t26 (cl (or (not (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool))) (not (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))))) :rule resolution :premises (t20 t25))
% 0.91/1.11  (step t27 (cl (not (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____)) :rule or_pos)
% 0.91/1.11  (step t28 (cl (= tptp.v_a____ tptp.v_b____) (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____)))) :rule reordering :premises (t27))
% 0.91/1.11  (step t29 (cl (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b)))) :rule implies_neg1)
% 0.91/1.11  (anchor :step t30)
% 0.91/1.11  (assume t30.a0 (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b))))
% 0.91/1.11  (step t30.t1 (cl (or (not (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b)))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____)))) :rule forall_inst :args ((:= V_a tptp.v_a____) (:= V_b tptp.v_b____)))
% 0.91/1.11  (step t30.t2 (cl (not (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b)))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) :rule or :premises (t30.t1))
% 0.91/1.11  (step t30.t3 (cl (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) :rule resolution :premises (t30.t2 t30.a0))
% 0.91/1.11  (step t30 (cl (not (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b)))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) :rule subproof :discharge (t30.a0))
% 0.91/1.11  (step t31 (cl (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) :rule resolution :premises (t29 t30))
% 0.91/1.11  (step t32 (cl (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) (not (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____)))) :rule implies_neg2)
% 0.91/1.11  (step t33 (cl (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____)))) :rule resolution :premises (t31 t32))
% 0.91/1.11  (step t34 (cl (=> (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____)))) :rule contraction :premises (t33))
% 0.91/1.11  (step t35 (cl (not (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 V_a V_b) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= V_a V_b)))) (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) :rule implies :premises (t34))
% 0.91/1.11  (step t36 (cl (or (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (= tptp.v_a____ tptp.v_b____))) :rule resolution :premises (t35 a458))
% 0.91/1.11  (step t37 (cl (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 tptp.v_a____ tptp.v_b____) (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) :rule resolution :premises (t28 a526 t36))
% 0.91/1.11  (step t38 (cl) :rule resolution :premises (t2 t13 t26 t37))
% 0.91/1.11  
% 0.91/1.11  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.UXO1tvLgx3/cvc5---1.0.5_29434.smt2
% 0.91/1.12  % cvc5---1.0.5 exiting
% 0.91/1.12  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------