%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP070^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 Jun 3 08:24:58 AM UTC 2026 % Result : Theorem 0.42s 0.83s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP070^1 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:13:17 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.57 %----Proving TH0 % 0.42/0.83 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.83 % SZS status Theorem % 0.42/0.83 % SZS output start Proof % 0.42/0.83 ( % 0.42/0.83 (declare-sort tptp.set_a 0) % 0.42/0.83 (declare-sort tptp.tree_a 0) % 0.42/0.83 (declare-sort tptp.produc143150363Tree_a 0) % 0.42/0.83 (declare-sort tptp.produc768687417list_a 0) % 0.42/0.83 (declare-sort tptp.list_a 0) % 0.42/0.83 (declare-sort tptp.multiset_a 0) % 0.42/0.83 (declare-sort tptp.a 0) % 0.42/0.83 (declare-const tptp.e_a tptp.tree_a) % 0.42/0.83 (declare-const tptp.heapIm1637418125tree_a (-> tptp.list_a tptp.tree_a)) % 0.42/0.83 (declare-const tptp.heapIm970322378pify_a (-> tptp.tree_a tptp.tree_a)) % 0.42/0.83 (declare-const tptp.ord_less_eq_a (-> tptp.a tptp.a Bool)) % 0.42/0.83 (declare-const tptp.val_a (-> tptp.tree_a tptp.a)) % 0.42/0.83 (declare-const tptp.produc686083979Tree_a (-> tptp.a tptp.tree_a tptp.produc143150363Tree_a)) % 0.42/0.83 (declare-const tptp.is_heap_a (-> tptp.tree_a Bool)) % 0.42/0.83 (declare-const tptp.add_mset_a (-> tptp.a tptp.multiset_a tptp.multiset_a)) % 0.42/0.83 (declare-const tptp.multiset_a2 (-> tptp.tree_a tptp.multiset_a)) % 0.42/0.83 (declare-const tptp.set_Tree_a_a (-> (-> tptp.tree_a tptp.multiset_a) tptp.tree_a tptp.set_a)) % 0.42/0.83 (declare-const tptp.lattic146396397_Max_a (-> tptp.set_a tptp.a)) % 0.42/0.83 (declare-const tptp.zero_zero_multiset_a tptp.multiset_a) % 0.42/0.83 (declare-const tptp.plus_plus_multiset_a (-> tptp.multiset_a tptp.multiset_a tptp.multiset_a)) % 0.42/0.83 (declare-const tptp.ssort_dom_Tree_a_a (-> (-> tptp.tree_a Bool) (-> tptp.tree_a tptp.produc143150363Tree_a) tptp.produc768687417list_a Bool)) % 0.42/0.83 (declare-const tptp.produc1352981801list_a (-> tptp.tree_a tptp.list_a tptp.produc768687417list_a)) % 0.42/0.83 (declare-const tptp.removeMax_Tree_a_a (-> tptp.tree_a (-> tptp.tree_a Bool) (-> tptp.list_a tptp.tree_a) (-> tptp.tree_a tptp.multiset_a) (-> tptp.tree_a tptp.produc143150363Tree_a) (-> tptp.tree_a Bool) Bool)) % 0.42/0.83 (declare-const tptp.heapIm837449470Leaf_a (-> tptp.tree_a tptp.produc143150363Tree_a)) % 0.42/0.83 (declare-const tptp.order_Greatest_a (-> (-> tptp.a Bool) tptp.a)) % 0.42/0.83 (declare-const tptp.order_Greatest_o_a (-> (-> (-> Bool tptp.a) Bool) Bool tptp.a)) % 0.42/0.83 (declare-const tptp.cons_a (-> tptp.a tptp.list_a tptp.list_a)) % 0.42/0.83 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.42/0.83 (declare-const tptp.heap_Tree_a_a (-> tptp.tree_a (-> tptp.tree_a Bool) (-> tptp.list_a tptp.tree_a) (-> tptp.tree_a tptp.multiset_a) (-> tptp.tree_a tptp.tree_a) (-> tptp.tree_a tptp.produc143150363Tree_a) Bool)) % 0.42/0.83 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.42/0.83 (declare-const tptp.v2 tptp.a) % 0.42/0.83 (declare-const tptp.r2 tptp.tree_a) % 0.42/0.83 (declare-const tptp.heapIm1091024090Down_a (-> tptp.tree_a tptp.tree_a)) % 0.42/0.83 (declare-const tptp.l2 tptp.tree_a) % 0.42/0.83 (declare-const tptp.v1 tptp.a) % 0.42/0.83 (declare-const tptp.t_a (-> tptp.a tptp.tree_a tptp.tree_a tptp.tree_a)) % 0.42/0.83 (declare-const tptp.ssort_Tree_a_a (-> (-> tptp.tree_a Bool) (-> tptp.tree_a tptp.produc143150363Tree_a) tptp.tree_a tptp.list_a tptp.list_a)) % 0.42/0.83 (declare-const tptp.set_mset_a (-> tptp.multiset_a tptp.set_a)) % 0.42/0.83 (declare-const tptp.heapIm1140443833left_a (-> tptp.tree_a tptp.tree_a)) % 0.42/0.83 (declare-const tptp.heapIm1257206334ight_a (-> tptp.tree_a tptp.tree_a)) % 0.42/0.83 (declare-const tptp.ord_less_eq_set_a (-> tptp.set_a tptp.set_a Bool)) % 0.42/0.83 (declare-const tptp.r1 tptp.tree_a) % 0.42/0.83 (declare-const tptp.ord_le1199012836iset_a (-> tptp.multiset_a tptp.multiset_a Bool)) % 0.42/0.83 (declare-const tptp.l1 tptp.tree_a) % 0.42/0.83 (declare-const tptp.v tptp.a) % 0.42/0.83 (declare-const tptp.in_tree_a (-> tptp.a tptp.tree_a Bool)) % 0.42/0.83 (define tptp.heapIm229596386mpty_a () (let ((_let_1 (@var "T2" tptp.tree_a))) (lambda (@list _let_1) (= _let_1 tptp.e_a)))) % 0.42/0.83 (define tptp.heapIm1057938560list_a () (let ((_let_1 (@var "L3" tptp.list_a))) (lambda (@list _let_1) (_ tptp.heapIm970322378pify_a (_ tptp.heapIm1637418125tree_a _let_1))))) % 0.42/0.83 (define tptp.ord_less_eq_o_a () (let ((_let_1 (@var "X4" Bool))) (let ((_let_2 (@var "G2" (-> Bool tptp.a)))) (let ((_let_3 (@var "F2" (-> Bool tptp.a)))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (_ (_ tptp.ord_less_eq_a (_ _let_3 _let_1)) (_ _let_2 _let_1)))))))) % 0.42/0.83 (define tptp.ord_less_eq_o_o_a () (let ((_let_1 (@var "Y6" (-> Bool Bool tptp.a)))) (let ((_let_2 (@var "X6" (-> Bool Bool tptp.a)))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_o_a (_ _let_2 false)) (_ _let_1 false)) (_ (_ tptp.ord_less_eq_o_a (_ _let_2 true)) (_ _let_1 true))))))) % 0.42/0.83 (define tptp.heap_axioms_Tree_a_a () (let ((_let_1 (@var "T2" tptp.tree_a))) (let ((_let_2 (@var "As_tree" (-> tptp.tree_a tptp.tree_a)))) (let ((_let_3 (_ _let_2 _let_1))) (let ((_let_4 (@var "M" tptp.a))) (let ((_let_5 (@var "Remove_max" (-> tptp.tree_a tptp.produc143150363Tree_a)))) (let ((_let_6 (@var "T3" tptp.tree_a))) (let ((_let_7 (_ tptp.produc686083979Tree_a _let_4))) (let ((_let_8 (@var "Is_empty" (-> tptp.tree_a Bool)))) (let ((_let_9 (_ _let_8 _let_1))) (let ((_let_10 (@var "L4" tptp.tree_a))) (let ((_let_11 (@var "L3" tptp.tree_a))) (let ((_let_12 (= (_ _let_7 _let_10) (_ _let_5 _let_11)))) (let ((_let_13 (_ _let_2 _let_11))) (let ((_let_14 (not (_ _let_8 _let_11)))) (let ((_let_15 (@list _let_11 _let_4 _let_10))) (let ((_let_16 (@var "Multiset" (-> tptp.tree_a tptp.multiset_a)))) (let ((_let_17 (_ _let_16 _let_11))) (let ((_let_18 (@var "I" tptp.list_a))) (let ((_let_19 (@var "Of_list" (-> tptp.list_a tptp.tree_a)))) (lambda (@list _let_8 _let_19 _let_16 _let_2 _let_5) (and (forall (@list _let_11) (= _let_17 (_ tptp.multiset_a2 _let_13))) (forall (@list _let_18) (_ tptp.is_heap_a (_ _let_2 (_ _let_19 _let_18)))) (forall (@list _let_1) (= (= _let_3 tptp.e_a) _let_9)) (forall _let_15 (=> _let_14 (=> _let_12 (= (_ (_ tptp.add_mset_a _let_4) (_ _let_16 _let_10)) _let_17)))) (forall _let_15 (=> _let_14 (=> (_ tptp.is_heap_a _let_13) (=> _let_12 (_ tptp.is_heap_a (_ _let_2 _let_10)))))) (forall (@list _let_1 _let_4 _let_6) (=> (not _let_9) (=> (= (_ _let_7 _let_6) (_ _let_5 _let_1)) (= _let_4 (_ tptp.val_a _let_3))))))))))))))))))))))))))) % 0.42/0.83 (define tptp.remove301631099ee_a_a () (let ((_let_1 (@var "L4" tptp.tree_a))) (let ((_let_2 (@var "Inv" (-> tptp.tree_a Bool)))) (let ((_let_3 (@var "L3" tptp.tree_a))) (let ((_let_4 (@var "Remove_max" (-> tptp.tree_a tptp.produc143150363Tree_a)))) (let ((_let_5 (@var "M" tptp.a))) (let ((_let_6 (= (_ (_ tptp.produc686083979Tree_a _let_5) _let_1) (_ _let_4 _let_3)))) (let ((_let_7 (_ _let_2 _let_3))) (let ((_let_8 (@var "Is_empty" (-> tptp.tree_a Bool)))) (let ((_let_9 (not (_ _let_8 _let_3)))) (let ((_let_10 (@list _let_3 _let_5 _let_1))) (let ((_let_11 (@var "Multiset" (-> tptp.tree_a tptp.multiset_a)))) (let ((_let_12 (@var "X4" tptp.list_a))) (let ((_let_13 (@var "Of_list" (-> tptp.list_a tptp.tree_a)))) (lambda (@list _let_8 _let_13 _let_11 _let_4 _let_2) (and (forall (@list _let_12) (_ _let_2 (_ _let_13 _let_12))) (forall _let_10 (=> _let_9 (=> _let_7 (=> _let_6 (= _let_5 (_ tptp.lattic146396397_Max_a (_ (_ tptp.set_Tree_a_a _let_11) _let_3))))))) (forall _let_10 (=> _let_9 (=> _let_7 (=> _let_6 (= (_ (_ tptp.add_mset_a _let_5) (_ _let_11 _let_1)) (_ _let_11 _let_3)))))) (forall _let_10 (=> _let_9 (=> _let_7 (=> _let_6 (_ _let_2 _let_1))))))))))))))))))))) % 0.42/0.83 (define tptp.is_empty_a () (let ((_let_1 (@var "A7" tptp.multiset_a))) (lambda (@list _let_1) (= _let_1 tptp.zero_zero_multiset_a)))) % 0.42/0.83 (define tptp.subseteq_mset_a () (let ((_let_1 (@var "C4" tptp.multiset_a))) (let ((_let_2 (@var "A3" tptp.multiset_a))) (let ((_let_3 (@var "B2" tptp.multiset_a))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (= _let_3 (_ (_ tptp.plus_plus_multiset_a _let_2) _let_1)))))))) % 0.42/0.83 (define @t1 () (_ (_ tptp.ord_less_eq_a tptp.v2) tptp.v1)) % 0.42/0.83 (define @t2 () (_ (_ tptp.ord_less_eq_a tptp.v1) tptp.v)) % 0.42/0.83 (define @t3 () (_ (_ (_ tptp.t_a tptp.v2) tptp.l2) tptp.r2)) % 0.42/0.83 (define @t4 () (_ tptp.t_a tptp.v)) % 0.42/0.83 (define @t5 () (_ (_ @t4 (_ tptp.heapIm1140443833left_a @t3)) (_ tptp.heapIm1257206334ight_a @t3))) % 0.42/0.83 (define @t6 () (_ tptp.ord_less_eq_a (_ tptp.val_a @t3))) % 0.42/0.83 (define @t7 () (_ (_ (_ tptp.t_a tptp.v1) tptp.l1) tptp.r1)) % 0.42/0.83 (define @t8 () (_ tptp.val_a @t7)) % 0.42/0.83 (define @t9 () (_ @t6 @t8)) % 0.42/0.83 (define @t10 () (_ (_ @t4 (_ tptp.heapIm1140443833left_a @t7)) (_ tptp.heapIm1257206334ight_a @t7))) % 0.42/0.83 (define @t11 () (@var "V2" tptp.a)) % 0.42/0.83 (define @t12 () (@var "V" tptp.a)) % 0.42/0.83 (define @t13 () (_ tptp.ord_less_eq_a @t12)) % 0.42/0.83 (define @t14 () (@var "R2" tptp.tree_a)) % 0.42/0.83 (define @t15 () (@var "L2" tptp.tree_a)) % 0.42/0.83 (define @t16 () (@var "T" tptp.tree_a)) % 0.42/0.83 (define @t17 () (_ tptp.heapIm1091024090Down_a @t16)) % 0.42/0.83 (define @t18 () (@var "R" tptp.tree_a)) % 0.42/0.83 (define @t19 () (@var "L" tptp.tree_a)) % 0.42/0.83 (define @t20 () (_ tptp.t_a @t12)) % 0.42/0.83 (define @t21 () (_ (_ @t20 @t19) @t18)) % 0.42/0.83 (define @t22 () (= @t16 @t21)) % 0.42/0.83 (define @t23 () (@var "Y23" tptp.tree_a)) % 0.42/0.83 (define @t24 () (@var "X23" tptp.tree_a)) % 0.42/0.83 (define @t25 () (@var "Y22" tptp.tree_a)) % 0.42/0.83 (define @t26 () (@var "X22" tptp.tree_a)) % 0.42/0.83 (define @t27 () (@var "Y21" tptp.a)) % 0.42/0.83 (define @t28 () (@var "X21" tptp.a)) % 0.42/0.83 (define @t29 () (= @t28 @t27)) % 0.42/0.83 (define @t30 () (_ (_ (_ tptp.t_a @t28) @t26) @t24)) % 0.42/0.83 (define @t31 () (@list @t12 @t19 @t18)) % 0.42/0.83 (define @t32 () (@var "T2" tptp.tree_a)) % 0.42/0.83 (define @t33 () (@var "V3" tptp.a)) % 0.42/0.83 (define @t34 () (_ @t20 tptp.e_a)) % 0.42/0.83 (define @t35 () (_ @t34 tptp.e_a)) % 0.42/0.83 (define @t36 () (@list @t12)) % 0.42/0.83 (define @t37 () (_ tptp.in_tree_a @t12)) % 0.42/0.83 (define @t38 () (@var "Vf" tptp.tree_a)) % 0.42/0.83 (define @t39 () (@var "Ve" tptp.tree_a)) % 0.42/0.83 (define @t40 () (@var "Vd" tptp.a)) % 0.42/0.83 (define @t41 () (_ (_ (_ tptp.t_a @t40) @t39) @t38)) % 0.42/0.83 (define @t42 () (_ tptp.is_heap_a @t41)) % 0.42/0.83 (define @t43 () (_ tptp.val_a @t41)) % 0.42/0.83 (define @t44 () (_ tptp.ord_less_eq_a @t43)) % 0.42/0.83 (define @t45 () (_ @t44 @t12)) % 0.42/0.83 (define @t46 () (@var "Vc" tptp.tree_a)) % 0.42/0.83 (define @t47 () (@var "Vb" tptp.tree_a)) % 0.42/0.83 (define @t48 () (@var "Va" tptp.a)) % 0.42/0.83 (define @t49 () (_ (_ (_ tptp.t_a @t48) @t47) @t46)) % 0.42/0.83 (define @t50 () (_ tptp.is_heap_a @t49)) % 0.42/0.83 (define @t51 () (_ tptp.val_a @t49)) % 0.42/0.83 (define @t52 () (_ tptp.ord_less_eq_a @t51)) % 0.42/0.83 (define @t53 () (_ @t52 @t12)) % 0.42/0.83 (define @t54 () (_ (_ @t20 @t41) @t49)) % 0.42/0.83 (define @t55 () (_ @t20 @t49)) % 0.42/0.83 (define @t56 () (_ @t55 @t41)) % 0.42/0.83 (define @t57 () (and @t53 @t50)) % 0.42/0.83 (define @t58 () (_ @t55 tptp.e_a)) % 0.42/0.83 (define @t59 () (@list @t12 @t48 @t47 @t46)) % 0.42/0.83 (define @t60 () (_ @t34 @t49)) % 0.42/0.83 (define @t61 () (_ tptp.val_a @t16)) % 0.42/0.83 (define @t62 () (_ tptp.is_heap_a @t16)) % 0.42/0.83 (define @t63 () (@list @t16)) % 0.42/0.83 (define @t64 () (not (= @t16 tptp.e_a))) % 0.42/0.83 (define @t65 () (@var "Vf2" tptp.tree_a)) % 0.42/0.83 (define @t66 () (@var "Ve2" tptp.tree_a)) % 0.42/0.83 (define @t67 () (@var "Vd2" tptp.a)) % 0.42/0.83 (define @t68 () (_ (_ (_ tptp.t_a @t67) @t66) @t65)) % 0.42/0.83 (define @t69 () (@var "Vc2" tptp.tree_a)) % 0.42/0.83 (define @t70 () (@var "Vb2" tptp.tree_a)) % 0.42/0.83 (define @t71 () (@var "Va2" tptp.a)) % 0.42/0.83 (define @t72 () (_ (_ (_ tptp.t_a @t71) @t70) @t69)) % 0.42/0.83 (define @t73 () (@var "V4" tptp.a)) % 0.42/0.83 (define @t74 () (_ tptp.t_a @t73)) % 0.42/0.83 (define @t75 () (_ @t74 @t72)) % 0.42/0.83 (define @t76 () (_ @t75 @t68)) % 0.42/0.83 (define @t77 () (@var "X" tptp.tree_a)) % 0.42/0.83 (define @t78 () (@list @t73 @t71 @t70 @t69 @t67 @t66 @t65)) % 0.42/0.83 (define @t79 () (forall @t78 (not (= @t77 @t76)))) % 0.42/0.83 (define @t80 () (not @t79)) % 0.42/0.83 (define @t81 () (_ @t75 tptp.e_a)) % 0.42/0.83 (define @t82 () (@list @t73 @t71 @t70 @t69)) % 0.42/0.83 (define @t83 () (forall @t82 (not (= @t77 @t81)))) % 0.42/0.83 (define @t84 () (_ @t74 tptp.e_a)) % 0.42/0.83 (define @t85 () (_ @t84 @t72)) % 0.42/0.83 (define @t86 () (forall @t82 (not (= @t77 @t85)))) % 0.42/0.83 (define @t87 () (_ @t84 tptp.e_a)) % 0.42/0.83 (define @t88 () (@list @t73)) % 0.42/0.83 (define @t89 () (forall @t88 (not (= @t77 @t87)))) % 0.42/0.83 (define @t90 () (= @t77 tptp.e_a)) % 0.42/0.83 (define @t91 () (not @t90)) % 0.42/0.83 (define @t92 () (@list @t77)) % 0.42/0.83 (define @t93 () (@var "X232" tptp.tree_a)) % 0.42/0.83 (define @t94 () (@var "X222" tptp.tree_a)) % 0.42/0.83 (define @t95 () (@var "X212" tptp.a)) % 0.42/0.83 (define @t96 () (@var "Y" tptp.tree_a)) % 0.42/0.83 (define @t97 () (@var "Tree" tptp.tree_a)) % 0.42/0.83 (define @t98 () (@var "P" (-> tptp.tree_a Bool))) % 0.42/0.83 (define @t99 () (@var "X3" tptp.tree_a)) % 0.42/0.83 (define @t100 () (@var "X2" tptp.tree_a)) % 0.42/0.83 (define @t101 () (@var "X1" tptp.a)) % 0.42/0.83 (define @t102 () (_ @t98 tptp.e_a)) % 0.42/0.83 (define @t103 () (_ tptp.heapIm1091024090Down_a (_ (_ @t20 (_ tptp.heapIm1140443833left_a @t49)) (_ tptp.heapIm1257206334ight_a @t49)))) % 0.42/0.83 (define @t104 () (_ tptp.t_a @t51)) % 0.42/0.83 (define @t105 () (_ @t104 @t103)) % 0.42/0.83 (define @t106 () (_ tptp.heapIm1091024090Down_a @t58)) % 0.42/0.83 (define @t107 () (not @t53)) % 0.42/0.83 (define @t108 () (@list @t48 @t47 @t46 @t12)) % 0.42/0.83 (define @t109 () (_ tptp.heapIm1091024090Down_a @t60)) % 0.42/0.83 (define @t110 () (@var "Uv" tptp.tree_a)) % 0.42/0.83 (define @t111 () (@var "Uu" tptp.tree_a)) % 0.42/0.83 (define @t112 () (_ (_ @t20 @t111) @t110)) % 0.42/0.83 (define @t113 () (_ tptp.val_a @t112)) % 0.42/0.83 (define @t114 () (@list @t12 @t111 @t110)) % 0.42/0.83 (define @t115 () (forall @t114 (= @t113 @t12))) % 0.42/0.83 (define @t116 () (_ tptp.heapIm1091024090Down_a (_ (_ @t20 (_ tptp.heapIm1140443833left_a @t41)) (_ tptp.heapIm1257206334ight_a @t41)))) % 0.42/0.83 (define @t117 () (_ tptp.t_a @t43)) % 0.42/0.83 (define @t118 () (_ tptp.heapIm1091024090Down_a @t56)) % 0.42/0.83 (define @t119 () (= @t118 (_ (_ @t117 @t49) @t116))) % 0.42/0.83 (define @t120 () (not @t45)) % 0.42/0.83 (define @t121 () (=> @t120 @t119)) % 0.42/0.83 (define @t122 () (= @t118 @t56)) % 0.42/0.83 (define @t123 () (=> @t45 @t122)) % 0.42/0.83 (define @t124 () (and @t123 @t121)) % 0.42/0.83 (define @t125 () (_ @t44 @t51)) % 0.42/0.83 (define @t126 () (not @t125)) % 0.42/0.83 (define @t127 () (=> @t126 @t124)) % 0.42/0.83 (define @t128 () (= @t118 (_ @t105 @t41))) % 0.42/0.83 (define @t129 () (=> @t107 @t128)) % 0.42/0.83 (define @t130 () (=> @t53 @t122)) % 0.42/0.83 (define @t131 () (and @t130 @t129)) % 0.42/0.83 (define @t132 () (=> @t125 @t131)) % 0.42/0.83 (define @t133 () (and @t132 @t127)) % 0.42/0.83 (define @t134 () (@list @t40 @t39 @t38 @t48 @t47 @t46 @t12)) % 0.42/0.83 (define @t135 () (forall @t134 @t133)) % 0.42/0.83 (define @t136 () (_ tptp.heapIm1091024090Down_a @t54)) % 0.42/0.83 (define @t137 () (= @t136 @t54)) % 0.42/0.83 (define @t138 () (_ @t52 @t43)) % 0.42/0.83 (define @t139 () (@var "V5" tptp.a)) % 0.42/0.83 (define @t140 () (@var "A0" tptp.tree_a)) % 0.42/0.83 (define @t141 () (_ (_ @t74 @t68) @t72)) % 0.42/0.83 (define @t142 () (_ @t98 @t68)) % 0.42/0.83 (define @t143 () (@list @t73 @t67 @t66 @t65 @t71 @t70 @t69)) % 0.42/0.83 (define @t144 () (_ @t98 @t72)) % 0.42/0.83 (define @t145 () (@var "X" (-> Bool tptp.a))) % 0.42/0.83 (define @t146 () (_ tptp.ord_less_eq_o_a @t145)) % 0.42/0.83 (define @t147 () (@var "X" tptp.a)) % 0.42/0.83 (define @t148 () (_ tptp.ord_less_eq_a @t147)) % 0.42/0.83 (define @t149 () (@list @t147)) % 0.42/0.83 (define @t150 () (@var "A" tptp.a)) % 0.42/0.83 (define @t151 () (_ tptp.ord_less_eq_a @t150)) % 0.42/0.83 (define @t152 () (_ tptp.set_mset_a (_ tptp.multiset_a2 @t16))) % 0.42/0.83 (define @t153 () (_ tptp.member_a @t150)) % 0.42/0.83 (define @t154 () (@var "P" (-> tptp.a Bool))) % 0.42/0.83 (define @t155 () (@var "A2" tptp.set_a)) % 0.42/0.83 (define @t156 () (@var "X4" tptp.a)) % 0.42/0.83 (define @t157 () (@var "X" Bool)) % 0.42/0.83 (define @t158 () (@var "G" (-> Bool tptp.a))) % 0.42/0.83 (define @t159 () (@var "F" (-> Bool tptp.a))) % 0.42/0.83 (define @t160 () (_ (_ tptp.ord_less_eq_o_a @t159) @t158)) % 0.42/0.83 (define @t161 () (@var "X5" Bool)) % 0.42/0.83 (define @t162 () (@var "C" (-> Bool tptp.a))) % 0.42/0.83 (define @t163 () (@var "F" (-> (-> Bool tptp.a) tptp.a))) % 0.42/0.83 (define @t164 () (@var "Y2" (-> Bool tptp.a))) % 0.42/0.83 (define @t165 () (@var "X5" (-> Bool tptp.a))) % 0.42/0.83 (define @t166 () (_ (_ tptp.ord_less_eq_o_a @t165) @t164)) % 0.42/0.83 (define @t167 () (@list @t165 @t164)) % 0.42/0.83 (define @t168 () (forall @t167 (=> @t166 (_ (_ tptp.ord_less_eq_a (_ @t163 @t165)) (_ @t163 @t164))))) % 0.42/0.83 (define @t169 () (@var "B" (-> Bool tptp.a))) % 0.42/0.83 (define @t170 () (_ tptp.ord_less_eq_o_a @t169)) % 0.42/0.83 (define @t171 () (_ @t170 @t162)) % 0.42/0.83 (define @t172 () (=> @t171 (=> @t168 (_ @t151 (_ @t163 @t162))))) % 0.42/0.83 (define @t173 () (_ @t163 @t169)) % 0.42/0.83 (define @t174 () (@list @t150 @t163 @t169 @t162)) % 0.42/0.83 (define @t175 () (@var "C" tptp.a)) % 0.42/0.83 (define @t176 () (@var "F" (-> tptp.a Bool tptp.a))) % 0.42/0.83 (define @t177 () (@var "A" (-> Bool tptp.a))) % 0.42/0.83 (define @t178 () (_ tptp.ord_less_eq_o_a @t177)) % 0.42/0.83 (define @t179 () (@var "Y2" tptp.a)) % 0.42/0.83 (define @t180 () (@var "X5" tptp.a)) % 0.42/0.83 (define @t181 () (_ tptp.ord_less_eq_a @t180)) % 0.42/0.83 (define @t182 () (_ @t181 @t179)) % 0.42/0.83 (define @t183 () (@list @t180 @t179)) % 0.42/0.83 (define @t184 () (forall @t183 (=> @t182 (_ (_ tptp.ord_less_eq_o_a (_ @t176 @t180)) (_ @t176 @t179))))) % 0.42/0.83 (define @t185 () (@var "B" tptp.a)) % 0.42/0.83 (define @t186 () (_ tptp.ord_less_eq_a @t185)) % 0.42/0.83 (define @t187 () (_ @t186 @t175)) % 0.42/0.83 (define @t188 () (=> @t187 (=> @t184 (_ @t178 (_ @t176 @t175))))) % 0.42/0.83 (define @t189 () (_ @t176 @t185)) % 0.42/0.83 (define @t190 () (@list @t177 @t176 @t185 @t175)) % 0.42/0.83 (define @t191 () (@var "F" (-> (-> Bool tptp.a) Bool tptp.a))) % 0.42/0.83 (define @t192 () (forall @t167 (=> @t166 (_ (_ tptp.ord_less_eq_o_a (_ @t191 @t165)) (_ @t191 @t164))))) % 0.42/0.83 (define @t193 () (=> @t171 (=> @t192 (_ @t178 (_ @t191 @t162))))) % 0.42/0.83 (define @t194 () (_ @t191 @t169)) % 0.42/0.83 (define @t195 () (@list @t177 @t191 @t169 @t162)) % 0.42/0.83 (define @t196 () (@var "F" (-> tptp.a tptp.a))) % 0.42/0.83 (define @t197 () (forall @t183 (=> @t182 (_ (_ tptp.ord_less_eq_a (_ @t196 @t180)) (_ @t196 @t179))))) % 0.42/0.83 (define @t198 () (=> @t187 (=> @t197 (_ @t151 (_ @t196 @t175))))) % 0.42/0.83 (define @t199 () (_ @t196 @t185)) % 0.42/0.83 (define @t200 () (@list @t150 @t196 @t185 @t175)) % 0.42/0.83 (define @t201 () (=> @t184 (_ (_ tptp.ord_less_eq_o_a (_ @t176 @t150)) @t162))) % 0.42/0.83 (define @t202 () (_ @t151 @t185)) % 0.42/0.83 (define @t203 () (@list @t150 @t185 @t176 @t162)) % 0.42/0.83 (define @t204 () (=> @t168 (_ (_ tptp.ord_less_eq_a (_ @t163 @t177)) @t175))) % 0.42/0.83 (define @t205 () (_ @t178 @t169)) % 0.42/0.83 (define @t206 () (@list @t177 @t169 @t163 @t175)) % 0.42/0.83 (define @t207 () (=> @t192 (_ (_ tptp.ord_less_eq_o_a (_ @t191 @t177)) @t162))) % 0.42/0.83 (define @t208 () (@list @t177 @t169 @t191 @t162)) % 0.42/0.83 (define @t209 () (=> @t197 (_ (_ tptp.ord_less_eq_a (_ @t196 @t150)) @t175))) % 0.42/0.83 (define @t210 () (@list @t150 @t185 @t196 @t175)) % 0.42/0.83 (define @t211 () (= @t177 @t169)) % 0.42/0.83 (define @t212 () (_ @t170 @t177)) % 0.42/0.83 (define @t213 () (= @t150 @t185)) % 0.42/0.83 (define @t214 () (_ @t186 @t150)) % 0.42/0.83 (define @t215 () (@var "B2" (-> Bool tptp.a))) % 0.42/0.83 (define @t216 () (@var "A3" (-> Bool tptp.a))) % 0.42/0.83 (define @t217 () (_ (_ tptp.ord_less_eq_o_a @t216) @t215)) % 0.42/0.83 (define @t218 () (_ (_ tptp.ord_less_eq_o_a @t215) @t216)) % 0.42/0.83 (define @t219 () (@list @t216 @t215)) % 0.42/0.83 (define @t220 () (@var "Z" (-> Bool tptp.a))) % 0.42/0.83 (define @t221 () (@var "Y3" (-> Bool tptp.a))) % 0.42/0.83 (define @t222 () (lambda (@list @t221 @t220) (= @t221 @t220))) % 0.42/0.83 (define @t223 () (@var "B2" tptp.a)) % 0.42/0.83 (define @t224 () (@var "A3" tptp.a)) % 0.42/0.83 (define @t225 () (_ (_ tptp.ord_less_eq_a @t224) @t223)) % 0.42/0.83 (define @t226 () (_ (_ tptp.ord_less_eq_a @t223) @t224)) % 0.42/0.83 (define @t227 () (@list @t224 @t223)) % 0.42/0.83 (define @t228 () (@var "Z" tptp.a)) % 0.42/0.83 (define @t229 () (@var "Y3" tptp.a)) % 0.42/0.83 (define @t230 () (lambda (@list @t229 @t228) (= @t229 @t228))) % 0.42/0.83 (define @t231 () (_ tptp.ord_less_eq_o_a @t162)) % 0.42/0.83 (define @t232 () (_ tptp.ord_less_eq_a @t175)) % 0.42/0.83 (define @t233 () (@var "P" (-> tptp.a tptp.a Bool))) % 0.42/0.83 (define @t234 () (@var "B3" tptp.a)) % 0.42/0.83 (define @t235 () (@var "A4" tptp.a)) % 0.42/0.83 (define @t236 () (_ (_ @t233 @t235) @t234)) % 0.42/0.83 (define @t237 () (@list @t235 @t234)) % 0.42/0.83 (define @t238 () (@var "Z2" (-> Bool tptp.a))) % 0.42/0.83 (define @t239 () (@var "Y" (-> Bool tptp.a))) % 0.42/0.83 (define @t240 () (_ tptp.ord_less_eq_o_a @t239)) % 0.42/0.83 (define @t241 () (_ @t146 @t239)) % 0.42/0.83 (define @t242 () (@var "Z2" tptp.a)) % 0.42/0.83 (define @t243 () (_ @t148 @t242)) % 0.42/0.83 (define @t244 () (@var "Y" tptp.a)) % 0.42/0.83 (define @t245 () (_ tptp.ord_less_eq_a @t244)) % 0.42/0.83 (define @t246 () (_ @t245 @t242)) % 0.42/0.83 (define @t247 () (_ @t148 @t244)) % 0.42/0.83 (define @t248 () (@list @t147 @t244 @t242)) % 0.42/0.83 (define @t249 () (@list @t150 @t185)) % 0.42/0.83 (define @t250 () (_ @t178 @t162)) % 0.42/0.83 (define @t251 () (@list @t177 @t169 @t162)) % 0.42/0.83 (define @t252 () (_ @t151 @t175)) % 0.42/0.83 (define @t253 () (= @t185 @t175)) % 0.42/0.83 (define @t254 () (@list @t150 @t185 @t175)) % 0.42/0.83 (define @t255 () (=> @t171 @t250)) % 0.42/0.83 (define @t256 () (=> @t187 @t252)) % 0.42/0.83 (define @t257 () (= @t145 @t239)) % 0.42/0.83 (define @t258 () (_ @t240 @t145)) % 0.42/0.83 (define @t259 () (= @t147 @t244)) % 0.42/0.83 (define @t260 () (_ @t245 @t147)) % 0.42/0.83 (define @t261 () (not @t247)) % 0.42/0.83 (define @t262 () (_ tptp.ord_less_eq_a @t242)) % 0.42/0.83 (define @t263 () (_ @t262 @t147)) % 0.42/0.83 (define @t264 () (_ @t262 @t244)) % 0.42/0.83 (define @t265 () (@list @t147 @t244)) % 0.42/0.83 (define @t266 () (@list @t145 @t239)) % 0.42/0.83 (define @t267 () (@var "X4" (-> Bool tptp.a))) % 0.42/0.83 (define @t268 () (@var "Y4" (-> Bool tptp.a))) % 0.42/0.83 (define @t269 () (@var "Y4" tptp.a)) % 0.42/0.83 (define @t270 () (@var "Tail" tptp.list_a)) % 0.42/0.83 (define @t271 () (@var "P" (-> (-> Bool tptp.a) Bool))) % 0.42/0.83 (define @t272 () (_ tptp.order_Greatest_o_a @t271)) % 0.42/0.83 (define @t273 () (forall (@list @t164) (=> (_ @t271 @t164) (_ (_ tptp.ord_less_eq_o_a @t164) @t145)))) % 0.42/0.83 (define @t274 () (_ @t271 @t145)) % 0.42/0.83 (define @t275 () (_ tptp.order_Greatest_a @t154)) % 0.42/0.83 (define @t276 () (forall (@list @t179) (=> (_ @t154 @t179) (_ (_ tptp.ord_less_eq_a @t179) @t147)))) % 0.42/0.83 (define @t277 () (_ @t154 @t147)) % 0.42/0.83 (define @t278 () (@var "Q" (-> (-> Bool tptp.a) Bool))) % 0.42/0.83 (define @t279 () (@var "Y5" (-> Bool tptp.a))) % 0.42/0.83 (define @t280 () (@var "Q" (-> tptp.a Bool))) % 0.42/0.83 (define @t281 () (@var "Y5" tptp.a)) % 0.42/0.83 (define @t282 () (@list @t180)) % 0.42/0.83 (define @t283 () (@var "Y6" (-> Bool tptp.a))) % 0.42/0.83 (define @t284 () (@var "X6" (-> Bool tptp.a))) % 0.42/0.83 (define @t285 () (@var "Y22" tptp.list_a)) % 0.42/0.83 (define @t286 () (@var "X22" tptp.list_a)) % 0.42/0.83 (define @t287 () (@var "Xs" tptp.list_a)) % 0.42/0.83 (define @t288 () (@var "Remove_max2" (-> tptp.tree_a tptp.produc143150363Tree_a))) % 0.42/0.83 (define @t289 () (@var "As_tree2" (-> tptp.tree_a tptp.tree_a))) % 0.42/0.83 (define @t290 () (@var "Multiset2" (-> tptp.tree_a tptp.multiset_a))) % 0.42/0.83 (define @t291 () (@var "Of_list2" (-> tptp.list_a tptp.tree_a))) % 0.42/0.83 (define @t292 () (@var "Is_empty2" (-> tptp.tree_a Bool))) % 0.42/0.83 (define @t293 () (@var "T4" tptp.tree_a)) % 0.42/0.83 (define @t294 () (_ @t289 @t293)) % 0.42/0.83 (define @t295 () (@var "M2" tptp.a)) % 0.42/0.83 (define @t296 () (@var "T5" tptp.tree_a)) % 0.42/0.83 (define @t297 () (_ tptp.produc686083979Tree_a @t295)) % 0.42/0.83 (define @t298 () (_ @t292 @t293)) % 0.42/0.83 (define @t299 () (@var "L5" tptp.tree_a)) % 0.42/0.83 (define @t300 () (_ @t288 @t299)) % 0.42/0.83 (define @t301 () (_ @t297 @t15)) % 0.42/0.83 (define @t302 () (= @t301 @t300)) % 0.42/0.83 (define @t303 () (_ @t289 @t299)) % 0.42/0.83 (define @t304 () (not (_ @t292 @t299))) % 0.42/0.83 (define @t305 () (@list @t299 @t295 @t15)) % 0.42/0.83 (define @t306 () (_ @t290 @t299)) % 0.42/0.83 (define @t307 () (=> @t302 (= (_ (_ tptp.add_mset_a @t295) (_ @t290 @t15)) @t306))) % 0.42/0.83 (define @t308 () (@var "I2" tptp.list_a)) % 0.42/0.83 (define @t309 () (@var "L6" tptp.tree_a)) % 0.42/0.83 (define @t310 () (@var "M3" tptp.a)) % 0.42/0.83 (define @t311 () (_ @t288 @t19)) % 0.42/0.83 (define @t312 () (_ tptp.produc686083979Tree_a @t310)) % 0.42/0.83 (define @t313 () (= (_ @t312 @t309) @t311)) % 0.42/0.83 (define @t314 () (=> @t313 (= (_ (_ tptp.add_mset_a @t310) (_ @t290 @t309)) (_ @t290 @t19)))) % 0.42/0.83 (define @t315 () (not (_ @t292 @t19))) % 0.42/0.83 (define @t316 () (@var "Empty" tptp.tree_a)) % 0.42/0.83 (define @t317 () (_ (_ (_ (_ (_ (_ tptp.heap_Tree_a_a @t316) @t292) @t291) @t290) @t289) @t288)) % 0.42/0.83 (define @t318 () (@list @t316 @t292 @t291 @t290 @t289 @t288 @t19 @t310 @t309)) % 0.42/0.83 (define @t319 () (@var "T6" tptp.tree_a)) % 0.42/0.83 (define @t320 () (@var "M4" tptp.multiset_a)) % 0.42/0.83 (define @t321 () (_ tptp.add_mset_a @t147)) % 0.42/0.83 (define @t322 () (_ @t321 @t320)) % 0.42/0.83 (define @t323 () (@var "B4" tptp.multiset_a)) % 0.42/0.83 (define @t324 () (@var "A2" tptp.multiset_a)) % 0.42/0.83 (define @t325 () (_ tptp.add_mset_a @t150)) % 0.42/0.83 (define @t326 () (_ @t325 @t323)) % 0.42/0.83 (define @t327 () (_ @t325 @t324)) % 0.42/0.83 (define @t328 () (@list @t150 @t324 @t323)) % 0.42/0.83 (define @t329 () (@var "B5" tptp.tree_a)) % 0.42/0.83 (define @t330 () (@var "B" tptp.tree_a)) % 0.42/0.83 (define @t331 () (= @t330 @t329)) % 0.42/0.83 (define @t332 () (@var "A5" tptp.a)) % 0.42/0.83 (define @t333 () (= @t150 @t332)) % 0.42/0.83 (define @t334 () (= (_ (_ tptp.produc686083979Tree_a @t150) @t330) (_ (_ tptp.produc686083979Tree_a @t332) @t329))) % 0.42/0.83 (define @t335 () (@list @t150 @t330 @t332 @t329)) % 0.42/0.83 (define @t336 () (@var "Y24" tptp.tree_a)) % 0.42/0.83 (define @t337 () (@var "X24" tptp.tree_a)) % 0.42/0.83 (define @t338 () (@var "Y1" tptp.a)) % 0.42/0.83 (define @t339 () (@var "X12" tptp.a)) % 0.42/0.83 (define @t340 () (@var "B6" tptp.multiset_a)) % 0.42/0.83 (define @t341 () (_ tptp.set_mset_a @t324)) % 0.42/0.83 (define @t342 () (_ @t153 @t341)) % 0.42/0.83 (define @t343 () (@list @t150 @t324)) % 0.42/0.83 (define @t344 () (@var "A6" tptp.multiset_a)) % 0.42/0.83 (define @t345 () (_ tptp.set_mset_a @t320)) % 0.42/0.83 (define @t346 () (_ tptp.member_a @t147)) % 0.42/0.83 (define @t347 () (@var "Y2" tptp.tree_a)) % 0.42/0.83 (define @t348 () (@var "P2" tptp.produc143150363Tree_a)) % 0.42/0.83 (define @t349 () (@var "P" (-> tptp.produc143150363Tree_a Bool))) % 0.42/0.83 (define @t350 () (@var "B3" tptp.tree_a)) % 0.42/0.83 (define @t351 () (_ (_ tptp.produc686083979Tree_a @t235) @t350)) % 0.42/0.83 (define @t352 () (@list @t235 @t350)) % 0.42/0.83 (define @t353 () (forall @t352 (_ @t349 @t351))) % 0.42/0.83 (define @t354 () (@var "Y" tptp.produc143150363Tree_a)) % 0.42/0.83 (define @t355 () (@var "Prod" tptp.produc143150363Tree_a)) % 0.42/0.83 (define @t356 () (@var "K" tptp.multiset_a)) % 0.42/0.83 (define @t357 () (@var "N" tptp.multiset_a)) % 0.42/0.83 (define @t358 () (_ tptp.add_mset_a @t185)) % 0.42/0.83 (define @t359 () (= @t320 @t357)) % 0.42/0.83 (define @t360 () (_ @t325 @t320)) % 0.42/0.83 (define @t361 () (_ tptp.add_mset_a @t244)) % 0.42/0.83 (define @t362 () (_ tptp.set_mset_a @t323)) % 0.42/0.83 (define @t363 () (@var "C2" tptp.multiset_a)) % 0.42/0.83 (define @t364 () (@var "Inv2" (-> tptp.tree_a Bool))) % 0.42/0.83 (define @t365 () (_ @t364 @t299)) % 0.42/0.83 (define @t366 () (_ tptp.set_Tree_a_a @t290)) % 0.42/0.83 (define @t367 () (@var "X5" tptp.list_a)) % 0.42/0.83 (define @t368 () (_ @t364 @t19)) % 0.42/0.83 (define @t369 () (_ (_ (_ (_ (_ (_ tptp.removeMax_Tree_a_a @t316) @t292) @t291) @t290) @t288) @t364)) % 0.42/0.83 (define @t370 () (@list @t316 @t292 @t291 @t290 @t288 @t364 @t19 @t310 @t309)) % 0.42/0.83 (define @t371 () (@var "P" (-> tptp.multiset_a Bool))) % 0.42/0.83 (define @t372 () (_ @t371 @t320)) % 0.42/0.83 (define @t373 () (@var "M5" tptp.multiset_a)) % 0.42/0.83 (define @t374 () (_ tptp.add_mset_a @t180)) % 0.42/0.83 (define @t375 () (_ @t371 (_ @t374 @t373))) % 0.42/0.83 (define @t376 () (@var "Xa" tptp.a)) % 0.42/0.83 (define @t377 () (_ (_ tptp.member_a @t376) (_ tptp.set_mset_a @t373))) % 0.42/0.83 (define @t378 () (@list @t376)) % 0.42/0.83 (define @t379 () (_ @t371 @t373)) % 0.42/0.83 (define @t380 () (@list @t180 @t373)) % 0.42/0.83 (define @t381 () (_ @t371 tptp.zero_zero_multiset_a)) % 0.42/0.83 (define @t382 () (@list @t371 @t320)) % 0.42/0.83 (define @t383 () (= @t320 tptp.zero_zero_multiset_a)) % 0.42/0.83 (define @t384 () (and (= @t185 @t150) @t383)) % 0.42/0.83 (define @t385 () (_ @t358 @t320)) % 0.42/0.83 (define @t386 () (_ @t325 tptp.zero_zero_multiset_a)) % 0.42/0.83 (define @t387 () (_ @t358 tptp.zero_zero_multiset_a)) % 0.42/0.83 (define @t388 () (@var "N2" tptp.multiset_a)) % 0.42/0.83 (define @t389 () (not @t383)) % 0.42/0.83 (define @t390 () (@list @t320)) % 0.42/0.83 (define @t391 () (@var "P" (-> tptp.multiset_a tptp.multiset_a Bool))) % 0.42/0.83 (define @t392 () (_ tptp.add_mset_a @t235)) % 0.42/0.83 (define @t393 () (_ @t391 @t373)) % 0.42/0.83 (define @t394 () (_ @t393 @t388)) % 0.42/0.83 (define @t395 () (@list @t235 @t373 @t388)) % 0.42/0.83 (define @t396 () (@list @t324)) % 0.42/0.83 (define @t397 () (@var "Sl" tptp.list_a)) % 0.42/0.83 (define @t398 () (@var "P" (-> tptp.tree_a tptp.list_a Bool))) % 0.42/0.83 (define @t399 () (@var "Sl2" tptp.list_a)) % 0.42/0.83 (define @t400 () (_ tptp.cons_a @t295)) % 0.42/0.83 (define @t401 () (@var "M6" tptp.a)) % 0.42/0.83 (define @t402 () (@var "L7" tptp.tree_a)) % 0.42/0.83 (define @t403 () (_ (_ tptp.produc1352981801list_a @t402) (_ (_ tptp.cons_a @t401) @t399))) % 0.42/0.83 (define @t404 () (_ (_ tptp.ssort_dom_Tree_a_a @t292) @t288)) % 0.42/0.83 (define @t405 () (= (_ (_ tptp.produc686083979Tree_a @t401) @t402) @t300)) % 0.42/0.83 (define @t406 () (=> @t405 (_ @t404 @t403))) % 0.42/0.83 (define @t407 () (@list @t401 @t402)) % 0.42/0.83 (define @t408 () (_ (_ tptp.produc1352981801list_a @t299) @t399)) % 0.42/0.83 (define @t409 () (@var "A" tptp.produc768687417list_a)) % 0.42/0.83 (define @t410 () (@list @t299 @t399)) % 0.42/0.83 (define @t411 () (_ @t404 @t409)) % 0.42/0.83 (define @t412 () (@list @t316 @t292 @t291 @t290 @t288 @t364 @t409)) % 0.42/0.83 (define @t413 () (@var "Sl3" tptp.list_a)) % 0.42/0.83 (define @t414 () (@var "Y4" tptp.tree_a)) % 0.42/0.83 (define @t415 () (@var "L3" tptp.tree_a)) % 0.42/0.83 (define @t416 () (@var "X" tptp.produc768687417list_a)) % 0.42/0.83 (define @t417 () (@var "P" (-> tptp.produc768687417list_a Bool))) % 0.42/0.83 (define @t418 () (@var "A" tptp.multiset_a)) % 0.42/0.83 (define @t419 () (= @t418 tptp.zero_zero_multiset_a)) % 0.42/0.83 (define @t420 () (_ tptp.subseteq_mset_a @t418)) % 0.42/0.83 (define @t421 () (_ @t420 tptp.zero_zero_multiset_a)) % 0.42/0.83 (define @t422 () (@list @t418)) % 0.42/0.83 (define @t423 () (@var "N3" tptp.multiset_a)) % 0.42/0.83 (define @t424 () (@var "B" tptp.multiset_a)) % 0.42/0.83 (define @t425 () (_ @t420 @t424)) % 0.42/0.83 (define @t426 () (@var "C" tptp.multiset_a)) % 0.42/0.83 (define @t427 () (_ tptp.plus_plus_multiset_a @t426)) % 0.42/0.83 (define @t428 () (_ @t427 @t424)) % 0.42/0.83 (define @t429 () (_ @t427 @t418)) % 0.42/0.83 (define @t430 () (_ (_ tptp.subseteq_mset_a @t429) @t428)) % 0.42/0.83 (define @t431 () (@list @t426 @t418 @t424)) % 0.42/0.83 (define @t432 () (_ tptp.plus_plus_multiset_a @t424)) % 0.42/0.83 (define @t433 () (_ @t432 @t426)) % 0.42/0.83 (define @t434 () (_ tptp.plus_plus_multiset_a @t418)) % 0.42/0.83 (define @t435 () (_ @t434 @t426)) % 0.42/0.83 (define @t436 () (_ tptp.subseteq_mset_a @t435)) % 0.42/0.83 (define @t437 () (_ @t436 @t433)) % 0.42/0.83 (define @t438 () (@list @t418 @t426 @t424)) % 0.42/0.83 (define @t439 () (_ tptp.subseteq_mset_a @t324)) % 0.42/0.83 (define @t440 () (_ @t439 @t323)) % 0.42/0.83 (define @t441 () (_ tptp.plus_plus_multiset_a @t363)) % 0.42/0.83 (define @t442 () (_ tptp.plus_plus_multiset_a @t323)) % 0.42/0.83 (define @t443 () (_ tptp.plus_plus_multiset_a @t324)) % 0.42/0.83 (define @t444 () (_ tptp.subseteq_mset_a (_ @t443 @t363))) % 0.42/0.83 (define @t445 () (@var "Y" tptp.multiset_a)) % 0.42/0.83 (define @t446 () (@var "X" tptp.multiset_a)) % 0.42/0.83 (define @t447 () (and (= @t446 tptp.zero_zero_multiset_a) (= @t445 tptp.zero_zero_multiset_a))) % 0.42/0.83 (define @t448 () (_ tptp.plus_plus_multiset_a @t446)) % 0.42/0.83 (define @t449 () (_ @t448 @t445)) % 0.42/0.83 (define @t450 () (@list @t446 @t445)) % 0.42/0.83 (define @t451 () (= (= @t449 tptp.zero_zero_multiset_a) @t447)) % 0.42/0.83 (define @t452 () (and @t383 (= @t357 tptp.zero_zero_multiset_a))) % 0.42/0.83 (define @t453 () (_ tptp.plus_plus_multiset_a @t320)) % 0.42/0.83 (define @t454 () (_ @t453 @t357)) % 0.42/0.83 (define @t455 () (@list @t320 @t357)) % 0.42/0.83 (define @t456 () (_ @t443 @t323)) % 0.42/0.83 (define @t457 () (_ @t325 @t456)) % 0.42/0.83 (define @t458 () (_ @t432 @t418)) % 0.42/0.83 (define @t459 () (_ @t434 @t424)) % 0.42/0.83 (define @t460 () (_ tptp.subseteq_mset_a @t459)) % 0.42/0.83 (define @t461 () (@list @t418 @t424)) % 0.42/0.83 (define @t462 () (_ tptp.subseteq_mset_a tptp.zero_zero_multiset_a)) % 0.42/0.83 (define @t463 () (_ @t462 @t424)) % 0.42/0.83 (define @t464 () (@var "K2" tptp.multiset_a)) % 0.42/0.83 (define @t465 () (_ tptp.plus_plus_multiset_a @t357)) % 0.42/0.83 (define @t466 () (_ @t465 @t464)) % 0.42/0.83 (define @t467 () (_ @t453 @t466)) % 0.42/0.83 (define @t468 () (@list @t320 @t357 @t464)) % 0.42/0.83 (define @t469 () (_ @t453 @t464)) % 0.42/0.83 (define @t470 () (@var "M7" tptp.multiset_a)) % 0.42/0.83 (define @t471 () (@var "N4" tptp.multiset_a)) % 0.42/0.83 (define @t472 () (_ tptp.plus_plus_multiset_a @t464)) % 0.42/0.83 (define @t473 () (@var "D" tptp.multiset_a)) % 0.42/0.83 (define @t474 () (_ @t432 @t473)) % 0.42/0.83 (define @t475 () (_ tptp.subseteq_mset_a @t426)) % 0.42/0.83 (define @t476 () (@list @t418 @t424 @t426 @t473)) % 0.42/0.83 (define @t477 () (@var "C3" tptp.multiset_a)) % 0.42/0.83 (define @t478 () (@list @t324 @t323)) % 0.42/0.83 (define @t479 () (@var "D2" tptp.multiset_a)) % 0.42/0.83 (define @t480 () (@var "Y7" tptp.multiset_a)) % 0.42/0.83 (define @t481 () (@var "X7" tptp.multiset_a)) % 0.42/0.83 (define @t482 () (@list @t418 @t424 @t426)) % 0.42/0.83 (define @t483 () (@var "C5" tptp.multiset_a)) % 0.42/0.83 (define @t484 () (@var "A7" tptp.multiset_a)) % 0.42/0.83 (define @t485 () (@var "B7" tptp.multiset_a)) % 0.42/0.83 (define @t486 () (@var "L" tptp.multiset_a)) % 0.42/0.83 (define @t487 () (@var "J" tptp.multiset_a)) % 0.42/0.83 (define @t488 () (@var "K3" tptp.multiset_a)) % 0.42/0.83 (define @t489 () (@var "I3" tptp.multiset_a)) % 0.42/0.83 (define @t490 () (_ (_ tptp.ord_le1199012836iset_a (_ (_ tptp.plus_plus_multiset_a @t489) @t488)) (_ (_ tptp.plus_plus_multiset_a @t487) @t486))) % 0.42/0.83 (define @t491 () (_ (_ tptp.ord_le1199012836iset_a @t489) @t487)) % 0.42/0.83 (define @t492 () (@list @t489 @t487 @t488 @t486)) % 0.42/0.83 (define @t493 () (_ (_ tptp.ord_le1199012836iset_a @t488) @t486)) % 0.42/0.83 (define @t494 () (_ tptp.ord_le1199012836iset_a @t435)) % 0.42/0.83 (define @t495 () (_ (_ tptp.ord_le1199012836iset_a @t418) @t424)) % 0.42/0.83 (define @t496 () (@list @t446)) % 0.42/0.83 (define @t497 () (_ @t462 @t446)) % 0.42/0.83 (define @t498 () (_ @t462 @t418)) % 0.42/0.83 (define @t499 () (_ @t436 @t424)) % 0.42/0.83 (define @t500 () (_ tptp.subseteq_mset_a @t424)) % 0.42/0.83 (define @t501 () (_ @t500 @t435)) % 0.42/0.83 (define @t502 () (_ (_ @t4 @t7) @t3)) % 0.42/0.83 (define @t503 () (_ tptp.multiset_a2 @t502)) % 0.42/0.83 (define @t504 () (_ tptp.heapIm1091024090Down_a @t502)) % 0.42/0.83 (define @t505 () (_ tptp.multiset_a2 @t504)) % 0.42/0.83 (define @t506 () (= @t505 @t503)) % 0.42/0.83 (define @t507 () (not @t506)) % 0.42/0.83 (define @t508 () (@list @t32)) % 0.42/0.83 (define @t509 () (lambda @t508 (= @t32 tptp.e_a))) % 0.42/0.83 (define @t510 () (@var "L3" tptp.list_a)) % 0.42/0.83 (define @t511 () (lambda (@list @t510) (_ tptp.heapIm970322378pify_a (_ tptp.heapIm1637418125tree_a @t510)))) % 0.42/0.83 (define @t512 () (@var "X4" Bool)) % 0.42/0.83 (define @t513 () (@var "G2" (-> Bool tptp.a))) % 0.42/0.83 (define @t514 () (@var "F2" (-> Bool tptp.a))) % 0.42/0.83 (define @t515 () (lambda (@list @t514 @t513) (forall (@list @t512) (_ (_ tptp.ord_less_eq_a (_ @t514 @t512)) (_ @t513 @t512))))) % 0.42/0.83 (define @t516 () (@var "Y6" (-> Bool Bool tptp.a))) % 0.42/0.83 (define @t517 () (@var "X6" (-> Bool Bool tptp.a))) % 0.42/0.83 (define @t518 () (lambda (@list @t517 @t516) (and (_ (_ tptp.ord_less_eq_o_a (_ @t517 false)) (_ @t516 false)) (_ (_ tptp.ord_less_eq_o_a (_ @t517 true)) (_ @t516 true))))) % 0.42/0.83 (define @t519 () (@var "As_tree" (-> tptp.tree_a tptp.tree_a))) % 0.42/0.83 (define @t520 () (_ @t519 @t32)) % 0.42/0.83 (define @t521 () (@var "M" tptp.a)) % 0.42/0.83 (define @t522 () (@var "Remove_max" (-> tptp.tree_a tptp.produc143150363Tree_a))) % 0.42/0.83 (define @t523 () (@var "T3" tptp.tree_a)) % 0.42/0.83 (define @t524 () (_ tptp.produc686083979Tree_a @t521)) % 0.42/0.83 (define @t525 () (@var "Is_empty" (-> tptp.tree_a Bool))) % 0.42/0.83 (define @t526 () (_ @t525 @t32)) % 0.42/0.83 (define @t527 () (@var "L4" tptp.tree_a)) % 0.42/0.83 (define @t528 () (= (_ @t524 @t527) (_ @t522 @t415))) % 0.42/0.83 (define @t529 () (_ @t519 @t415)) % 0.42/0.83 (define @t530 () (not (_ @t525 @t415))) % 0.42/0.83 (define @t531 () (@list @t415 @t521 @t527)) % 0.42/0.83 (define @t532 () (@var "Multiset" (-> tptp.tree_a tptp.multiset_a))) % 0.42/0.83 (define @t533 () (_ @t532 @t415)) % 0.42/0.83 (define @t534 () (=> @t528 (= (_ (_ tptp.add_mset_a @t521) (_ @t532 @t527)) @t533))) % 0.42/0.83 (define @t535 () (@var "I" tptp.list_a)) % 0.42/0.83 (define @t536 () (@var "Of_list" (-> tptp.list_a tptp.tree_a))) % 0.42/0.83 (define @t537 () (lambda (@list @t525 @t536 @t532 @t519 @t522) (and (forall (@list @t415) (= @t533 (_ tptp.multiset_a2 @t529))) (forall (@list @t535) (_ tptp.is_heap_a (_ @t519 (_ @t536 @t535)))) (forall @t508 (= (= @t520 tptp.e_a) @t526)) (forall @t531 (=> @t530 @t534)) (forall @t531 (=> @t530 (=> (_ tptp.is_heap_a @t529) (=> @t528 (_ tptp.is_heap_a (_ @t519 @t527)))))) (forall (@list @t32 @t521 @t523) (=> (not @t526) (=> (= (_ @t524 @t523) (_ @t522 @t32)) (= @t521 (_ tptp.val_a @t520)))))))) % 0.42/0.83 (define @t538 () (@var "Inv" (-> tptp.tree_a Bool))) % 0.42/0.83 (define @t539 () (_ @t538 @t415)) % 0.42/0.83 (define @t540 () (@var "X4" tptp.list_a)) % 0.42/0.83 (define @t541 () (lambda (@list @t525 @t536 @t532 @t522 @t538) (and (forall (@list @t540) (_ @t538 (_ @t536 @t540))) (forall @t531 (=> @t530 (=> @t539 (=> @t528 (= @t521 (_ tptp.lattic146396397_Max_a (_ (_ tptp.set_Tree_a_a @t532) @t415))))))) (forall @t531 (=> @t530 (=> @t539 @t534))) (forall @t531 (=> @t530 (=> @t539 (=> @t528 (_ @t538 @t527)))))))) % 0.42/0.83 (define @t542 () (lambda (@list @t484) (= @t484 tptp.zero_zero_multiset_a))) % 0.42/0.83 (define @t543 () (@var "C4" tptp.multiset_a)) % 0.42/0.83 (define @t544 () (@var "A3" tptp.multiset_a)) % 0.42/0.83 (define @t545 () (@var "B2" tptp.multiset_a)) % 0.42/0.83 (define @t546 () (lambda (@list @t544 @t545) (exists (@list @t543) (= @t545 (_ (_ tptp.plus_plus_multiset_a @t544) @t543))))) % 0.42/0.83 (define @t547 () (tptp.t_a tptp.v2 tptp.l2 tptp.r2)) % 0.42/0.83 (define @t548 () (tptp.t_a tptp.v1 tptp.l1 tptp.r1)) % 0.42/0.83 (define @t549 () (tptp.t_a tptp.v @t548 @t547)) % 0.42/0.83 (define @t550 () (tptp.heapIm1091024090Down_a @t549)) % 0.42/0.83 (define @t551 () (tptp.multiset_a2 @t550)) % 0.42/0.83 (define @t552 () (tptp.multiset_a2 @t549)) % 0.42/0.83 (define @t553 () (@var "BOUND_VARIABLE_10355" tptp.tree_a)) % 0.42/0.83 (define @t554 () (@var "BOUND_VARIABLE_10353" tptp.tree_a)) % 0.42/0.83 (define @t555 () (@var "BOUND_VARIABLE_10351" tptp.a)) % 0.42/0.83 (define @t556 () (_ (_ (_ tptp.t_a @t555) @t554) @t553)) % 0.42/0.83 (define @t557 () (_ tptp.heapIm1257206334ight_a @t556)) % 0.42/0.83 (define @t558 () (_ tptp.heapIm1140443833left_a @t556)) % 0.42/0.83 (define @t559 () (@var "BOUND_VARIABLE_10363" tptp.a)) % 0.42/0.83 (define @t560 () (_ tptp.t_a @t559)) % 0.42/0.83 (define @t561 () (_ (_ @t560 @t558) @t557)) % 0.42/0.83 (define @t562 () (_ tptp.heapIm1091024090Down_a @t561)) % 0.42/0.83 (define @t563 () (@var "BOUND_VARIABLE_10361" tptp.tree_a)) % 0.42/0.83 (define @t564 () (@var "BOUND_VARIABLE_10359" tptp.tree_a)) % 0.42/0.83 (define @t565 () (@var "BOUND_VARIABLE_10357" tptp.a)) % 0.42/0.83 (define @t566 () (_ (_ (_ tptp.t_a @t565) @t564) @t563)) % 0.42/0.83 (define @t567 () (_ tptp.val_a @t556)) % 0.42/0.83 (define @t568 () (tptp.t_a @t555 @t554 @t553)) % 0.42/0.83 (define @t569 () (tptp.heapIm1257206334ight_a @t568)) % 0.42/0.83 (define @t570 () (tptp.heapIm1140443833left_a @t568)) % 0.42/0.83 (define @t571 () (tptp.t_a @t559 @t570 @t569)) % 0.42/0.83 (define @t572 () (tptp.heapIm1091024090Down_a @t571)) % 0.42/0.83 (define @t573 () (tptp.t_a @t565 @t564 @t563)) % 0.42/0.83 (define @t574 () (tptp.val_a @t568)) % 0.42/0.83 (define @t575 () (tptp.t_a @t574 @t573 @t572)) % 0.42/0.83 (define @t576 () (_ (_ (_ tptp.t_a @t567) @t566) @t562)) % 0.42/0.83 (define @t577 () (_ (_ @t560 @t566) @t556)) % 0.42/0.83 (define @t578 () (tptp.t_a @t559 @t573 @t568)) % 0.42/0.83 (define @t579 () (tptp.heapIm1091024090Down_a @t578)) % 0.42/0.83 (define @t580 () (_ tptp.heapIm1091024090Down_a @t577)) % 0.42/0.83 (define @t581 () (= @t580 @t576)) % 0.42/0.83 (define @t582 () (tptp.ord_less_eq_a @t574 @t559)) % 0.42/0.83 (define @t583 () (_ tptp.ord_less_eq_a @t574)) % 0.42/0.83 (define @t584 () (_ tptp.ord_less_eq_a @t567)) % 0.42/0.83 (define @t585 () (_ @t584 @t559)) % 0.42/0.83 (define @t586 () (or @t585 @t581)) % 0.42/0.83 (define @t587 () (= @t577 @t580)) % 0.42/0.83 (define @t588 () (not @t585)) % 0.42/0.83 (define @t589 () (or @t588 @t587)) % 0.42/0.83 (define @t590 () (and @t589 @t586)) % 0.42/0.83 (define @t591 () (_ tptp.val_a @t566)) % 0.42/0.83 (define @t592 () (tptp.val_a @t573)) % 0.42/0.83 (define @t593 () (tptp.ord_less_eq_a @t574 @t592)) % 0.42/0.83 (define @t594 () (_ @t584 @t591)) % 0.42/0.83 (define @t595 () (or @t594 @t590)) % 0.42/0.83 (define @t596 () (forall (@list @t555 @t554 @t553 @t565 @t564 @t563 @t559) @t595)) % 0.42/0.83 (define @t597 () (@var "BOUND_VARIABLE_10307" tptp.tree_a)) % 0.42/0.83 (define @t598 () (@var "BOUND_VARIABLE_10305" tptp.tree_a)) % 0.42/0.83 (define @t599 () (@var "BOUND_VARIABLE_10303" tptp.a)) % 0.42/0.83 (define @t600 () (_ (_ (_ tptp.t_a @t599) @t598) @t597)) % 0.42/0.83 (define @t601 () (@var "BOUND_VARIABLE_10313" tptp.tree_a)) % 0.42/0.83 (define @t602 () (@var "BOUND_VARIABLE_10311" tptp.tree_a)) % 0.42/0.83 (define @t603 () (@var "BOUND_VARIABLE_10309" tptp.a)) % 0.42/0.83 (define @t604 () (_ (_ (_ tptp.t_a @t603) @t602) @t601)) % 0.42/0.83 (define @t605 () (_ tptp.heapIm1257206334ight_a @t604)) % 0.42/0.83 (define @t606 () (_ tptp.heapIm1140443833left_a @t604)) % 0.42/0.83 (define @t607 () (@var "BOUND_VARIABLE_10315" tptp.a)) % 0.42/0.83 (define @t608 () (_ tptp.t_a @t607)) % 0.42/0.83 (define @t609 () (_ (_ @t608 @t606) @t605)) % 0.42/0.83 (define @t610 () (_ tptp.heapIm1091024090Down_a @t609)) % 0.42/0.83 (define @t611 () (_ tptp.val_a @t604)) % 0.42/0.83 (define @t612 () (tptp.t_a @t599 @t598 @t597)) % 0.42/0.83 (define @t613 () (tptp.t_a @t603 @t602 @t601)) % 0.42/0.83 (define @t614 () (tptp.heapIm1257206334ight_a @t613)) % 0.42/0.83 (define @t615 () (tptp.heapIm1140443833left_a @t613)) % 0.42/0.83 (define @t616 () (tptp.t_a @t607 @t615 @t614)) % 0.42/0.83 (define @t617 () (tptp.heapIm1091024090Down_a @t616)) % 0.42/0.83 (define @t618 () (tptp.val_a @t613)) % 0.42/0.83 (define @t619 () (tptp.t_a @t618 @t617 @t612)) % 0.42/0.83 (define @t620 () (_ (_ (_ tptp.t_a @t611) @t610) @t600)) % 0.42/0.83 (define @t621 () (_ (_ @t608 @t604) @t600)) % 0.42/0.83 (define @t622 () (tptp.t_a @t607 @t613 @t612)) % 0.42/0.83 (define @t623 () (tptp.heapIm1091024090Down_a @t622)) % 0.42/0.83 (define @t624 () (_ tptp.heapIm1091024090Down_a @t621)) % 0.42/0.83 (define @t625 () (= @t624 @t620)) % 0.42/0.83 (define @t626 () (tptp.ord_less_eq_a @t618 @t607)) % 0.42/0.83 (define @t627 () (_ (_ tptp.ord_less_eq_a @t611) @t607)) % 0.42/0.83 (define @t628 () (or @t627 @t625)) % 0.42/0.83 (define @t629 () (= @t621 @t624)) % 0.42/0.83 (define @t630 () (not @t627)) % 0.42/0.83 (define @t631 () (or @t630 @t629)) % 0.42/0.83 (define @t632 () (and @t631 @t628)) % 0.42/0.83 (define @t633 () (_ tptp.val_a @t600)) % 0.42/0.83 (define @t634 () (tptp.val_a @t612)) % 0.42/0.83 (define @t635 () (tptp.ord_less_eq_a @t634 @t618)) % 0.42/0.83 (define @t636 () (_ (_ tptp.ord_less_eq_a @t633) @t611)) % 0.42/0.83 (define @t637 () (not @t636)) % 0.42/0.83 (define @t638 () (or @t637 @t632)) % 0.42/0.83 (define @t639 () (forall (@list @t599 @t598 @t597 @t603 @t602 @t601 @t607) @t638)) % 0.42/0.83 (define @t640 () (= @t56 @t118)) % 0.42/0.83 (define @t641 () (or @t125 (and (or @t120 @t640) (or @t45 @t119)))) % 0.42/0.83 (define @t642 () (forall @t134 @t641)) % 0.42/0.83 (define @t643 () (@list @t40 @t39 @t38 @t48 @t47 @t46 @t12)) % 0.42/0.83 (define @t644 () (or @t126 (and (or @t107 @t640) (or @t53 @t128)))) % 0.42/0.83 (define @t645 () (forall @t134 @t644)) % 0.42/0.83 (define @t646 () (and @t645 @t642)) % 0.42/0.83 (define @t647 () (and (=> @t45 @t640) @t121)) % 0.42/0.83 (define @t648 () (and (=> @t53 @t640) @t129)) % 0.42/0.83 (define @t649 () (and (=> @t125 @t648) (=> @t126 @t647))) % 0.42/0.83 (define @t650 () (tptp.ord_less_eq_a tptp.v2 tptp.v1)) % 0.42/0.83 (define @t651 () (tptp.t_a @t12 @t111 @t110)) % 0.42/0.83 (define @t652 () (tptp.val_a @t651)) % 0.42/0.83 (define @t653 () (= @t12 @t113)) % 0.42/0.83 (define @t654 () (tptp.val_a @t548)) % 0.42/0.83 (define @t655 () (tptp.ord_less_eq_a (tptp.val_a @t547) @t654)) % 0.42/0.83 (define @t656 () (tptp.ord_less_eq_a @t654 tptp.v)) % 0.42/0.83 (define @t657 () (= @t549 @t550)) % 0.42/0.83 (define @t658 () (not @t656)) % 0.42/0.83 (define @t659 () (or @t658 @t657)) % 0.42/0.83 (define @t660 () (and @t659 (or @t656 (= @t550 (tptp.t_a @t654 (tptp.heapIm1091024090Down_a (tptp.t_a tptp.v (tptp.heapIm1140443833left_a @t548) (tptp.heapIm1257206334ight_a @t548))) @t547))))) % 0.42/0.83 (define @t661 () (not @t655)) % 0.42/0.83 (define @t662 () (or @t661 @t660)) % 0.42/0.83 (define @t663 () (@list false false)) % 0.42/0.83 (define @t664 () (tptp.ord_less_eq_a tptp.v1 tptp.v)) % 0.42/0.83 (define @t665 () (= @t552 @t551)) % 0.42/0.83 (assume @p1 @t1) % 0.42/0.83 (assume @p2 @t2) % 0.42/0.83 (assume @p3 (=> (not @t9) (=> (not (_ @t6 tptp.v)) (= (_ tptp.multiset_a2 (_ tptp.heapIm1091024090Down_a @t5)) (_ tptp.multiset_a2 @t5))))) % 0.42/0.83 (assume @p4 (=> @t9 (=> (not (_ (_ tptp.ord_less_eq_a @t8) tptp.v)) (= (_ tptp.multiset_a2 (_ tptp.heapIm1091024090Down_a @t10)) (_ tptp.multiset_a2 @t10))))) % 0.42/0.83 (assume @p5 (forall (@list @t16 @t12 @t19 @t18) (=> @t22 (exists (@list @t15 @t11 @t14) (and (= @t17 (_ (_ (_ tptp.t_a @t11) @t15) @t14)) (_ @t13 @t11)))))) % 0.42/0.83 (assume @p6 (forall (@list @t28 @t26 @t24 @t27 @t25 @t23) (= (= @t30 (_ (_ (_ tptp.t_a @t27) @t25) @t23)) (and @t29 (= @t26 @t25) (= @t24 @t23))))) % 0.42/0.83 (assume @p7 (forall @t31 (= (_ tptp.heapIm970322378pify_a @t21) (_ tptp.heapIm1091024090Down_a (_ (_ @t20 (_ tptp.heapIm970322378pify_a @t19)) (_ tptp.heapIm970322378pify_a @t18)))))) % 0.42/0.83 (assume @p8 (forall (@list @t19 @t18 @t16 @t12) (=> (_ tptp.is_heap_a @t19) (=> (_ tptp.is_heap_a @t18) (=> @t22 (_ tptp.is_heap_a @t17)))))) % 0.42/0.83 (assume @p9 (= tptp.in_tree_a (lambda (@list @t33 @t32) (_ (_ tptp.in_tree_a @t33) (_ tptp.heapIm1091024090Down_a @t32))))) % 0.42/0.83 (assume @p10 (forall @t31 (= (_ tptp.heapIm1140443833left_a @t21) @t19))) % 0.42/0.83 (assume @p11 (forall @t31 (= (_ tptp.heapIm1257206334ight_a @t21) @t18))) % 0.42/0.83 (assume @p12 (forall @t36 (= (_ tptp.heapIm1091024090Down_a @t35) @t35))) % 0.42/0.83 (assume @p13 (= (_ tptp.heapIm1091024090Down_a tptp.e_a) tptp.e_a)) % 0.42/0.83 (assume @p14 (forall @t36 (not (_ @t37 tptp.e_a)))) % 0.42/0.83 (assume @p15 (forall (@list @t12 @t40 @t39 @t38 @t48 @t47 @t46) (= (_ tptp.is_heap_a @t54) (and @t53 @t50 @t45 @t42)))) % 0.42/0.83 (assume @p16 (forall (@list @t12 @t48 @t47 @t46 @t40 @t39 @t38) (= (_ tptp.is_heap_a @t56) (and @t45 @t42 @t53 @t50)))) % 0.42/0.83 (assume @p17 (forall @t59 (= (_ tptp.is_heap_a @t58) @t57))) % 0.42/0.83 (assume @p18 (forall @t59 (= (_ tptp.is_heap_a @t60) @t57))) % 0.42/0.83 (assume @p19 (forall @t36 (_ tptp.is_heap_a @t35))) % 0.42/0.83 (assume @p20 (_ tptp.is_heap_a tptp.e_a)) % 0.42/0.83 (assume @p21 (= (_ tptp.heapIm970322378pify_a tptp.e_a) tptp.e_a)) % 0.42/0.83 (assume @p22 (forall (@list @t12 @t16) (=> (_ @t37 @t16) (=> @t62 (_ @t13 @t61))))) % 0.42/0.83 (assume @p23 (forall @t63 (_ tptp.is_heap_a (_ tptp.heapIm970322378pify_a @t16)))) % 0.42/0.83 (assume @p24 (forall @t63 (=> @t64 (_ (_ tptp.in_tree_a (_ tptp.val_a @t17)) @t16)))) % 0.42/0.83 (assume @p25 (forall @t92 (=> @t91 (=> @t89 (=> @t86 (=> @t83 @t80)))))) % 0.42/0.83 (assume @p26 (forall (@list @t96) (=> (not (= @t96 tptp.e_a)) (not (forall (@list @t95 @t94 @t93) (not (= @t96 (_ (_ (_ tptp.t_a @t95) @t94) @t93)))))))) % 0.42/0.83 (assume @p27 (forall (@list @t98 @t97) (=> @t102 (=> (forall (@list @t101 @t100 @t99) (=> (_ @t98 @t100) (=> (_ @t98 @t99) (_ @t98 (_ (_ (_ tptp.t_a @t101) @t100) @t99))))) (_ @t98 @t97))))) % 0.42/0.83 (assume @p28 (forall (@list @t28 @t26 @t24) (not (= tptp.e_a @t30)))) % 0.42/0.83 (assume @p29 (forall @t108 (and (=> @t53 (= @t106 @t58)) (=> @t107 (= @t106 (_ @t105 tptp.e_a)))))) % 0.42/0.83 (assume @p30 (forall @t108 (and (=> @t53 (= @t109 @t60)) (=> @t107 (= @t109 (_ (_ @t104 tptp.e_a) @t103)))))) % 0.42/0.83 (assume @p31 @t115) % 0.42/0.83 (assume @p32 @t135) % 0.42/0.83 (assume @p33 (forall (@list @t48 @t47 @t46 @t40 @t39 @t38 @t12) (and (=> @t138 (and (=> @t45 @t137) (=> @t120 (= @t136 (_ (_ @t117 @t116) @t49))))) (=> (not @t138) (and (=> @t53 @t137) (=> @t107 (= @t136 (_ (_ @t104 @t41) @t103)))))))) % 0.42/0.83 (assume @p34 (forall (@list @t12 @t139 @t19 @t18) (= (_ @t37 (_ (_ (_ tptp.t_a @t139) @t19) @t18)) (or (= @t12 @t139) (_ @t37 @t19) (_ @t37 @t18))))) % 0.42/0.83 (assume @p35 (forall (@list @t98 @t140) (=> (forall @t88 (_ @t98 @t87)) (=> (forall @t82 (=> @t144 (=> @t144 (_ @t98 @t81)))) (=> (forall @t82 (=> @t144 (=> @t144 (_ @t98 @t85)))) (=> (forall @t78 (=> @t144 (=> @t144 (_ @t98 @t76)))) (=> (forall @t143 (=> @t142 (=> @t142 (_ @t98 @t141)))) (=> @t102 (_ @t98 @t140))))))))) % 0.42/0.83 (assume @p36 (forall @t92 (=> @t89 (=> @t83 (=> @t86 (=> @t79 (=> (forall @t143 (not (= @t77 @t141))) @t90))))))) % 0.42/0.83 (assume @p37 (forall @t92 (=> @t91 (=> @t89 (=> @t83 (=> @t86 @t80)))))) % 0.42/0.83 (assume @p38 (forall (@list @t145) (_ @t146 @t145))) % 0.42/0.83 (assume @p39 (forall @t149 (_ @t148 @t147))) % 0.42/0.83 (assume @p40 (forall (@list @t150 @t16) (=> (_ @t153 @t152) (=> @t62 (_ @t151 @t61))))) % 0.42/0.83 (assume @p41 (forall (@list @t150 @t154) (= (_ @t153 (_ tptp.collect_a @t154)) (_ @t154 @t150)))) % 0.42/0.83 (assume @p42 (forall (@list @t155) (= (_ tptp.collect_a (lambda (@list @t156) (_ (_ tptp.member_a @t156) @t155))) @t155))) % 0.42/0.83 (assume @p43 (forall (@list @t159 @t158 @t157) (=> @t160 (_ (_ tptp.ord_less_eq_a (_ @t159 @t157)) (_ @t158 @t157))))) % 0.42/0.83 (assume @p44 (forall (@list @t159 @t158) (=> (forall (@list @t161) (_ (_ tptp.ord_less_eq_a (_ @t159 @t161)) (_ @t158 @t161))) @t160))) % 0.42/0.83 (assume @p45 (forall @t174 (=> (_ @t151 @t173) @t172))) % 0.42/0.83 (assume @p46 (forall @t190 (=> (_ @t178 @t189) @t188))) % 0.42/0.83 (assume @p47 (forall @t195 (=> (_ @t178 @t194) @t193))) % 0.42/0.83 (assume @p48 (forall @t200 (=> (_ @t151 @t199) @t198))) % 0.42/0.83 (assume @p49 (forall @t203 (=> @t202 (=> (_ (_ tptp.ord_less_eq_o_a @t189) @t162) @t201)))) % 0.42/0.83 (assume @p50 (forall @t206 (=> @t205 (=> (_ (_ tptp.ord_less_eq_a @t173) @t175) @t204)))) % 0.42/0.83 (assume @p51 (forall @t208 (=> @t205 (=> (_ (_ tptp.ord_less_eq_o_a @t194) @t162) @t207)))) % 0.42/0.83 (assume @p52 (forall @t210 (=> @t202 (=> (_ (_ tptp.ord_less_eq_a @t199) @t175) @t209)))) % 0.42/0.83 (assume @p53 (forall (@list @t169 @t177) (=> @t212 (=> @t205 @t211)))) % 0.42/0.83 (assume @p54 (forall (@list @t185 @t150) (=> @t214 (=> @t202 @t213)))) % 0.42/0.83 (assume @p55 (= @t222 (lambda @t219 (and @t218 @t217)))) % 0.42/0.83 (assume @p56 (= @t230 (lambda @t227 (and @t226 @t225)))) % 0.42/0.83 (assume @p57 (forall (@list @t169 @t177 @t162) (=> @t212 (=> (_ @t231 @t169) (_ @t231 @t177))))) % 0.42/0.83 (assume @p58 (forall (@list @t185 @t150 @t175) (=> @t214 (=> (_ @t232 @t185) (_ @t232 @t150))))) % 0.42/0.83 (assume @p59 (forall (@list @t233 @t150 @t185) (=> (forall @t237 (=> (_ (_ tptp.ord_less_eq_a @t235) @t234) @t236)) (=> (forall @t237 (=> (_ (_ @t233 @t234) @t235) @t236)) (_ (_ @t233 @t150) @t185))))) % 0.42/0.83 (assume @p60 (forall (@list @t177) (_ @t178 @t177))) % 0.42/0.83 (assume @p61 (forall (@list @t150) (_ @t151 @t150))) % 0.42/0.83 (assume @p62 (forall (@list @t145 @t239 @t238) (=> @t241 (=> (_ @t240 @t238) (_ @t146 @t238))))) % 0.42/0.83 (assume @p63 (forall @t248 (=> @t247 (=> @t246 @t243)))) % 0.42/0.83 (assume @p64 (forall (@list @t177 @t169) (=> @t205 (=> @t212 @t211)))) % 0.42/0.83 (assume @p65 (forall @t249 (=> @t202 (=> @t214 @t213)))) % 0.42/0.83 (assume @p66 (forall @t251 (=> @t205 (=> (= @t169 @t162) @t250)))) % 0.42/0.83 (assume @p67 (forall @t254 (=> @t202 (=> @t253 @t252)))) % 0.42/0.83 (assume @p68 (forall @t251 (=> @t211 @t255))) % 0.42/0.83 (assume @p69 (forall @t254 (=> @t213 @t256))) % 0.42/0.83 (assume @p70 (= @t222 (lambda @t219 (and @t217 @t218)))) % 0.42/0.83 (assume @p71 (= @t230 (lambda @t227 (and @t225 @t226)))) % 0.42/0.83 (assume @p72 (forall (@list @t239 @t145) (=> @t258 (= @t241 @t257)))) % 0.42/0.83 (assume @p73 (forall (@list @t244 @t147) (=> @t260 (= @t247 @t259)))) % 0.42/0.83 (assume @p74 (forall @t248 (=> (=> @t247 (not @t246)) (=> (=> @t260 (not @t243)) (=> (=> @t243 (not @t264)) (=> (=> @t264 (not @t260)) (=> (=> @t246 (not @t263)) (not (=> @t263 @t261))))))))) % 0.42/0.83 (assume @p75 (forall @t251 (=> @t205 @t255))) % 0.42/0.83 (assume @p76 (forall @t254 (=> @t202 @t256))) % 0.42/0.83 (assume @p77 (forall @t265 (=> @t261 @t260))) % 0.42/0.83 (assume @p78 (forall @t266 (=> @t257 @t241))) % 0.42/0.83 (assume @p79 (forall @t265 (=> @t259 @t247))) % 0.42/0.83 (assume @p80 (forall @t265 (or @t247 @t260))) % 0.42/0.83 (assume @p81 (forall @t266 (=> @t241 (=> @t258 @t257)))) % 0.42/0.83 (assume @p82 (forall @t265 (=> @t247 (=> @t260 @t259)))) % 0.42/0.83 (assume @p83 (= @t222 (lambda (@list @t267 @t268) (and (_ (_ tptp.ord_less_eq_o_a @t267) @t268) (_ (_ tptp.ord_less_eq_o_a @t268) @t267))))) % 0.42/0.83 (assume @p84 (= @t230 (lambda (@list @t156 @t269) (and (_ (_ tptp.ord_less_eq_a @t156) @t269) (_ (_ tptp.ord_less_eq_a @t269) @t156))))) % 0.42/0.83 (assume @p85 (forall @t203 (=> @t202 (=> (= @t189 @t162) @t201)))) % 0.42/0.83 (assume @p86 (forall @t206 (=> @t205 (=> (= @t173 @t175) @t204)))) % 0.42/0.83 (assume @p87 (forall @t208 (=> @t205 (=> (= @t194 @t162) @t207)))) % 0.42/0.83 (assume @p88 (forall @t210 (=> @t202 (=> (= @t199 @t175) @t209)))) % 0.42/0.83 (assume @p89 (forall @t190 (=> (= @t177 @t189) @t188))) % 0.42/0.83 (assume @p90 (forall @t174 (=> (= @t150 @t173) @t172))) % 0.42/0.83 (assume @p91 (forall @t195 (=> (= @t177 @t194) @t193))) % 0.42/0.83 (assume @p92 (forall @t200 (=> (= @t150 @t199) @t198))) % 0.42/0.83 (assume @p93 (forall @t63 (=> @t64 (=> @t62 (= @t61 (_ tptp.lattic146396397_Max_a @t152)))))) % 0.42/0.83 (assume @p94 (forall (@list @t12 @t270) (= (_ tptp.heapIm1637418125tree_a (_ (_ tptp.cons_a @t12) @t270)) (_ (_ @t20 (_ tptp.heapIm1637418125tree_a @t270)) tptp.e_a)))) % 0.42/0.83 (assume @p95 (forall (@list @t271 @t145) (=> @t274 (=> @t273 (= @t272 @t145))))) % 0.42/0.83 (assume @p96 (forall (@list @t154 @t147) (=> @t277 (=> @t276 (= @t275 @t147))))) % 0.42/0.83 (assume @p97 (forall (@list @t271 @t145 @t278) (=> @t274 (=> @t273 (=> (forall (@list @t165) (=> (_ @t271 @t165) (=> (forall (@list @t279) (=> (_ @t271 @t279) (_ (_ tptp.ord_less_eq_o_a @t279) @t165))) (_ @t278 @t165)))) (_ @t278 @t272)))))) % 0.42/0.83 (assume @p98 (forall (@list @t154 @t147 @t280) (=> @t277 (=> @t276 (=> (forall @t282 (=> (_ @t154 @t180) (=> (forall (@list @t281) (=> (_ @t154 @t281) (_ (_ tptp.ord_less_eq_a @t281) @t180))) (_ @t280 @t180)))) (_ @t280 @t275)))))) % 0.42/0.83 (assume @p99 (= tptp.ord_less_eq_o_a (lambda (@list @t284 @t283) (and (_ (_ tptp.ord_less_eq_a (_ @t284 false)) (_ @t283 false)) (_ (_ tptp.ord_less_eq_a (_ @t284 true)) (_ @t283 true)))))) % 0.42/0.83 (assume @p100 (forall @t249 (or @t213 (not @t202) (not @t214)))) % 0.42/0.83 (assume @p101 (forall (@list @t28 @t286 @t27 @t285) (= (= (_ (_ tptp.cons_a @t28) @t286) (_ (_ tptp.cons_a @t27) @t285)) (and @t29 (= @t286 @t285))))) % 0.42/0.83 (assume @p102 (forall (@list @t147 @t287) (not (= (_ (_ tptp.cons_a @t147) @t287) @t287)))) % 0.42/0.83 (assume @p103 (forall (@list @t290 @t289 @t291 @t292 @t288) (=> (forall (@list @t299) (= @t306 (_ tptp.multiset_a2 @t303))) (=> (forall (@list @t308) (_ tptp.is_heap_a (_ @t289 (_ @t291 @t308)))) (=> (forall (@list @t293) (= (= @t294 tptp.e_a) @t298)) (=> (forall @t305 (=> @t304 @t307)) (=> (forall @t305 (=> @t304 (=> (_ tptp.is_heap_a @t303) (=> @t302 (_ tptp.is_heap_a (_ @t289 @t15)))))) (=> (forall (@list @t293 @t295 @t296) (=> (not @t298) (=> (= (_ @t297 @t296) (_ @t288 @t293)) (= @t295 (_ tptp.val_a @t294))))) (_ (_ (_ (_ (_ tptp.heap_axioms_Tree_a_a @t292) @t291) @t290) @t289) @t288))))))))) % 0.42/0.83 (assume @p104 (forall @t318 (=> @t317 (=> @t315 @t314)))) % 0.42/0.83 (assume @p105 (forall (@list @t316 @t292 @t291 @t290 @t289 @t288 @t16 @t310 @t319) (=> @t317 (=> (not (_ @t292 @t16)) (=> (= (_ @t312 @t319) (_ @t288 @t16)) (= @t310 (_ tptp.val_a (_ @t289 @t16)))))))) % 0.42/0.83 (assume @p106 (forall @t318 (=> @t317 (=> @t315 (=> (_ tptp.is_heap_a (_ @t289 @t19)) (=> @t313 (_ tptp.is_heap_a (_ @t289 @t309)))))))) % 0.42/0.83 (assume @p107 (forall (@list @t320 @t147) (not (= @t320 @t322)))) % 0.42/0.83 (assume @p108 (forall @t328 (= (= @t327 @t326) (= @t324 @t323)))) % 0.42/0.83 (assume @p109 (forall @t335 (= @t334 (and @t333 @t331)))) % 0.42/0.83 (assume @p110 (forall (@list @t339 @t337 @t338 @t336) (= (= (_ (_ tptp.produc686083979Tree_a @t339) @t337) (_ (_ tptp.produc686083979Tree_a @t338) @t336)) (and (= @t339 @t338) (= @t337 @t336))))) % 0.42/0.84 (assume @p111 (forall @t343 (=> @t342 (not (forall (@list @t340) (not (= @t324 (_ @t325 @t340)))))))) % 0.42/0.84 (assume @p112 (forall (@list @t147 @t320) (=> (_ @t346 @t345) (exists (@list @t344) (= @t320 (_ @t321 @t344)))))) % 0.42/0.84 (assume @p113 (forall (@list @t348) (exists (@list @t180 @t347) (= @t348 (_ (_ tptp.produc686083979Tree_a @t180) @t347))))) % 0.42/0.84 (assume @p114 (forall (@list @t349 @t348) (=> @t353 (_ @t349 @t348)))) % 0.42/0.84 (assume @p115 (forall @t335 (=> @t334 (not (=> @t333 (not @t331)))))) % 0.42/0.84 (assume @p116 (forall (@list @t354) (not (forall @t352 (not (= @t354 @t351)))))) % 0.42/0.84 (assume @p117 (forall (@list @t349 @t355) (=> @t353 (_ @t349 @t355)))) % 0.42/0.84 (assume @p118 (forall (@list @t150 @t320 @t185 @t357) (= (= @t360 (_ @t358 @t357)) (or (and @t359 @t213) (exists (@list @t356) (and (= @t320 (_ @t358 @t356)) (= @t357 (_ @t325 @t356)))))))) % 0.42/0.84 (assume @p119 (forall (@list @t147 @t244 @t320) (= (_ @t321 (_ @t361 @t320)) (_ @t361 @t322)))) % 0.42/0.84 (assume @p120 (forall (@list @t147 @t320 @t357) (=> (= @t322 @t357) (_ @t346 (_ tptp.set_mset_a @t357))))) % 0.42/0.84 (assume @p121 (forall (@list @t185 @t323 @t175 @t363) (=> (= (_ @t358 @t323) (_ (_ tptp.add_mset_a @t175) @t363)) (=> (not @t253) (_ (_ tptp.member_a @t175) @t362))))) % 0.42/0.84 (assume @p122 (forall @t36 (= (_ tptp.heapIm837449470Leaf_a @t35) (_ (_ tptp.produc686083979Tree_a @t12) tptp.e_a)))) % 0.42/0.84 (assume @p123 (forall (@list @t364 @t291 @t292 @t288 @t290) (=> (forall (@list @t367) (_ @t364 (_ @t291 @t367))) (=> (forall @t305 (=> @t304 (=> @t365 (=> @t302 (= @t295 (_ tptp.lattic146396397_Max_a (_ @t366 @t299))))))) (=> (forall @t305 (=> @t304 (=> @t365 @t307))) (=> (forall @t305 (=> @t304 (=> @t365 (=> @t302 (_ @t364 @t15))))) (_ (_ (_ (_ (_ tptp.remove301631099ee_a_a @t292) @t291) @t290) @t288) @t364))))))) % 0.42/0.84 (assume @p124 (forall @t370 (=> @t369 (=> @t315 (=> @t368 (=> @t313 (= @t310 (_ tptp.lattic146396397_Max_a (_ @t366 @t19))))))))) % 0.42/0.84 (assume @p125 (forall @t382 (=> @t381 (=> (forall @t380 (=> @t379 (=> (forall @t378 (=> @t377 (_ (_ tptp.ord_less_eq_a @t376) @t180))) @t375))) @t372)))) % 0.42/0.84 (assume @p126 (forall (@list @t147 @t320 @t244) (= (= @t322 (_ @t361 tptp.zero_zero_multiset_a)) (and @t383 @t259)))) % 0.42/0.84 (assume @p127 (forall (@list @t150 @t185 @t320) (= (= @t386 @t385) @t384))) % 0.42/0.84 (assume @p128 (forall (@list @t185 @t320 @t150) (= (= @t385 @t386) @t384))) % 0.42/0.84 (assume @p129 (forall @t249 (= (= @t386 @t387) @t213))) % 0.42/0.84 (assume @p130 (forall @t390 (=> @t389 (not (forall (@list @t180 @t388) (not (= @t320 (_ @t374 @t388)))))))) % 0.42/0.84 (assume @p131 (forall @t382 (=> @t381 (=> (forall @t380 (=> @t379 @t375)) @t372)))) % 0.42/0.84 (assume @p132 (forall (@list @t391 @t320 @t357) (=> (_ (_ @t391 tptp.zero_zero_multiset_a) tptp.zero_zero_multiset_a) (=> (forall @t395 (=> @t394 (_ (_ @t391 (_ @t392 @t373)) @t388))) (=> (forall @t395 (=> @t394 (_ @t393 (_ @t392 @t388)))) (_ (_ @t391 @t320) @t357)))))) % 0.42/0.84 (assume @p133 (forall @t343 (not (= tptp.zero_zero_multiset_a @t327)))) % 0.42/0.84 (assume @p134 (forall @t390 (=> @t389 (exists (@list @t344 @t235) (= @t320 (_ @t392 @t344)))))) % 0.42/0.84 (assume @p135 (forall @t396 (=> (not (= @t324 tptp.zero_zero_multiset_a)) (not (forall @t282 (not (_ (_ tptp.member_a @t180) @t341))))))) % 0.42/0.84 (assume @p136 (forall @t370 (=> @t369 (=> @t315 (=> @t368 (=> @t313 (_ @t364 @t309))))))) % 0.42/0.84 (assume @p137 (forall @t149 (_ @t346 (_ tptp.set_mset_a (_ @t321 tptp.zero_zero_multiset_a))))) % 0.42/0.84 (assume @p138 (forall @t370 (=> @t369 (=> @t315 (=> @t368 @t314))))) % 0.42/0.84 (assume @p139 (= (_ tptp.multiset_a2 tptp.e_a) tptp.zero_zero_multiset_a)) % 0.42/0.84 (assume @p140 (forall @t382 (=> @t381 (=> (forall @t380 (=> @t379 (=> (forall @t378 (=> @t377 (_ @t181 @t376))) @t375))) @t372)))) % 0.42/0.84 (assume @p141 (forall (@list @t316 @t292 @t291 @t290 @t288 @t364 @t19 @t398 @t397) (=> @t369 (=> @t368 (=> (_ (_ @t398 @t19) @t397) (=> (forall (@list @t299 @t399 @t295 @t15) (=> @t304 (=> @t365 (=> @t302 (=> (_ (_ @t398 @t299) @t399) (_ (_ @t398 @t15) (_ @t400 @t399))))))) (_ (_ @t398 @t316) (_ (_ (_ (_ tptp.ssort_Tree_a_a @t292) @t288) @t19) @t397)))))))) % 0.42/0.84 (assume @p142 (forall @t412 (=> @t369 (=> @t411 (not (forall @t410 (=> (= @t409 @t408) (not (=> @t304 (forall @t407 @t406)))))))))) % 0.42/0.84 (assume @p143 (forall @t412 (=> @t369 (= @t411 (exists (@list @t415 @t413) (and (= @t409 (_ (_ tptp.produc1352981801list_a @t415) @t413)) (forall (@list @t156 @t414) (=> (not (_ @t292 @t415)) (=> (= (_ (_ tptp.produc686083979Tree_a @t156) @t414) (_ @t288 @t415)) (_ @t404 (_ (_ tptp.produc1352981801list_a @t414) (_ (_ tptp.cons_a @t156) @t413)))))))))))) % 0.42/0.84 (assume @p144 (forall (@list @t316 @t292 @t291 @t290 @t288 @t364 @t416 @t417) (=> @t369 (=> (_ @t404 @t416) (=> (forall @t410 (=> (forall @t407 (=> @t304 @t406)) (=> (forall @t407 (=> @t304 (=> @t405 (_ @t417 @t403)))) (_ @t417 @t408)))) (_ @t417 @t416)))))) % 0.42/0.84 (assume @p145 (forall (@list @t316 @t292 @t291 @t290 @t288 @t364 @t19 @t397) (=> @t369 (=> (forall (@list @t295 @t15) (=> @t315 (=> (= @t301 @t311) (_ @t404 (_ (_ tptp.produc1352981801list_a @t15) (_ @t400 @t397)))))) (_ @t404 (_ (_ tptp.produc1352981801list_a @t19) @t397)))))) % 0.42/0.84 (assume @p146 (forall @t31 (= (_ tptp.multiset_a2 @t21) (_ (_ tptp.plus_plus_multiset_a (_ (_ tptp.plus_plus_multiset_a (_ tptp.multiset_a2 @t19)) (_ (_ tptp.add_mset_a @t12) tptp.zero_zero_multiset_a))) (_ tptp.multiset_a2 @t18))))) % 0.42/0.84 (assume @p147 (forall (@list @t150 @t320) (= (_ (_ tptp.subseteq_mset_a @t386) @t320) (_ @t153 @t345)))) % 0.42/0.84 (assume @p148 (forall @t422 (= @t421 @t419))) % 0.42/0.84 (assume @p149 (forall (@list @t423) (= (_ (_ tptp.subseteq_mset_a @t423) tptp.zero_zero_multiset_a) (= @t423 tptp.zero_zero_multiset_a)))) % 0.42/0.84 (assume @p150 (forall @t431 (= @t430 @t425))) % 0.42/0.84 (assume @p151 (forall @t438 (= @t437 @t425))) % 0.42/0.84 (assume @p152 (forall (@list @t363 @t324 @t323) (= (_ (_ tptp.subseteq_mset_a (_ @t441 @t324)) (_ @t441 @t323)) @t440))) % 0.42/0.84 (assume @p153 (forall (@list @t324 @t363 @t323) (= (_ @t444 (_ @t442 @t363)) @t440))) % 0.42/0.84 (assume @p154 (forall @t450 (= (= tptp.zero_zero_multiset_a @t449) @t447))) % 0.42/0.84 (assume @p155 (forall @t450 @t451)) % 0.42/0.84 (assume @p156 (forall @t455 (= (= @t454 tptp.zero_zero_multiset_a) @t452))) % 0.42/0.84 (assume @p157 (forall @t455 (= (= tptp.zero_zero_multiset_a @t454) @t452))) % 0.42/0.84 (assume @p158 (forall (@list @t324 @t150 @t323) (= (_ @t443 @t326) @t457))) % 0.42/0.84 (assume @p159 (forall @t328 (= (_ (_ tptp.plus_plus_multiset_a @t327) @t323) @t457))) % 0.42/0.84 (assume @p160 (forall (@list @t424 @t418) (= (_ (_ tptp.subseteq_mset_a @t458) @t424) @t421))) % 0.42/0.84 (assume @p161 (forall @t461 (= (_ @t460 @t424) @t421))) % 0.42/0.84 (assume @p162 (forall @t461 (= (_ @t420 @t459) @t463))) % 0.42/0.84 (assume @p163 (forall @t461 (= (_ @t420 @t458) @t463))) % 0.42/0.84 (assume @p164 (forall (@list @t150 @t320 @t185) (= (_ (_ tptp.subseteq_mset_a @t360) @t387) (and @t383 @t213)))) % 0.42/0.84 (assume @p165 (forall @t468 (= (_ (_ tptp.plus_plus_multiset_a @t454) @t464) @t467))) % 0.42/0.84 (assume @p166 (forall @t468 (= @t467 (_ @t465 @t469)))) % 0.42/0.84 (assume @p167 (= tptp.plus_plus_multiset_a (lambda (@list @t470 @t471) (_ (_ tptp.plus_plus_multiset_a @t471) @t470)))) % 0.42/0.84 (assume @p168 (forall (@list @t464 @t320 @t357) (= (= (_ @t472 @t320) (_ @t472 @t357)) @t359))) % 0.42/0.84 (assume @p169 (forall (@list @t320 @t464 @t357) (= (= @t469 @t466) @t359))) % 0.42/0.84 (assume @p170 (forall @t476 (=> @t425 (=> (_ @t475 @t473) (_ @t436 @t474))))) % 0.42/0.84 (assume @p171 (forall @t461 (=> @t425 (not (forall (@list @t477) (not (= @t424 (_ @t434 @t477)))))))) % 0.42/0.84 (assume @p172 (forall @t478 (_ @t439 @t456))) % 0.42/0.84 (assume @p173 (forall (@list @t324 @t323 @t363 @t479) (=> @t440 (=> (_ (_ tptp.subseteq_mset_a @t363) @t479) (_ @t444 (_ @t442 @t479)))))) % 0.42/0.84 (assume @p174 (forall (@list @t323 @t324) (_ (_ tptp.subseteq_mset_a @t323) @t456))) % 0.42/0.84 (assume @p175 (forall (@list @t324 @t481 @t480) (=> (= (_ @t443 @t481) (_ @t443 @t480)) (= @t481 @t480)))) % 0.42/0.84 (assume @p176 (forall @t482 (=> @t425 @t430))) % 0.42/0.84 (assume @p177 (= tptp.subseteq_mset_a (lambda (@list @t484 @t485) (exists (@list @t483) (= @t485 (_ (_ tptp.plus_plus_multiset_a @t484) @t483)))))) % 0.42/0.84 (assume @p178 (forall @t482 (=> @t425 @t437))) % 0.42/0.84 (assume @p179 (forall @t431 (=> @t430 @t425))) % 0.42/0.84 (assume @p180 (forall @t438 (=> @t437 @t425))) % 0.42/0.84 (assume @p181 (forall @t328 (= (_ @t153 (_ tptp.set_mset_a @t456)) (or @t342 (_ @t153 @t362))))) % 0.42/0.84 (assume @p182 (forall (@list @t324 @t323 @t147) (=> @t440 (=> (_ @t346 @t341) (_ @t346 @t362))))) % 0.42/0.84 (assume @p183 (forall @t478 (=> @t440 (_ (_ tptp.ord_less_eq_set_a @t341) @t362)))) % 0.42/0.84 (assume @p184 (forall @t328 (= (_ (_ tptp.subseteq_mset_a @t327) @t326) @t440))) % 0.42/0.84 (assume @p185 (forall @t492 (=> (and @t491 (= @t488 @t486)) @t490))) % 0.42/0.84 (assume @p186 (forall @t492 (=> (and (= @t489 @t487) @t493) @t490))) % 0.42/0.84 (assume @p187 (forall @t492 (=> (and @t491 @t493) @t490))) % 0.42/0.84 (assume @p188 (forall @t476 (=> @t495 (=> (_ (_ tptp.ord_le1199012836iset_a @t426) @t473) (_ @t494 @t474))))) % 0.42/0.84 (assume @p189 (forall @t482 (=> @t495 (_ (_ tptp.ord_le1199012836iset_a @t429) @t428)))) % 0.42/0.84 (assume @p190 (forall @t482 (=> @t495 (_ @t494 @t433)))) % 0.42/0.84 (assume @p191 (forall @t496 (= (_ @t448 tptp.zero_zero_multiset_a) @t446))) % 0.42/0.84 (assume @p192 (forall @t496 (= (_ (_ tptp.plus_plus_multiset_a tptp.zero_zero_multiset_a) @t446) @t446))) % 0.42/0.84 (assume @p193 (forall @t396 (_ @t462 @t324))) % 0.42/0.84 (assume @p194 (forall @t496 @t497)) % 0.42/0.84 (assume @p195 (forall @t422 @t498)) % 0.42/0.84 (assume @p196 (forall @t438 (=> @t421 (=> (_ @t475 @t424) @t499)))) % 0.42/0.84 (assume @p197 (forall @t482 (=> @t498 (=> (_ @t500 @t426) @t501)))) % 0.42/0.84 (assume @p198 (forall @t431 (=> (_ @t475 tptp.zero_zero_multiset_a) (=> @t425 @t499)))) % 0.42/0.84 (assume @p199 (forall (@list @t426 @t424 @t418) (=> (_ @t462 @t426) (=> (_ @t500 @t418) @t501)))) % 0.42/0.84 (assume @p200 (forall @t461 (=> @t498 (=> @t463 (_ @t462 @t459))))) % 0.42/0.84 (assume @p201 (forall @t461 (=> @t421 (=> (_ @t500 tptp.zero_zero_multiset_a) (_ @t460 tptp.zero_zero_multiset_a))))) % 0.42/0.84 (assume @p202 (forall @t450 (=> @t497 (=> (_ @t462 @t445) @t451)))) % 0.42/0.84 (assume @p203 (forall @t450 (=> (_ (_ tptp.subseteq_mset_a @t446) tptp.zero_zero_multiset_a) (=> (_ (_ tptp.subseteq_mset_a @t445) tptp.zero_zero_multiset_a) @t451)))) % 0.42/0.84 (assume @p204 (forall @t422 (=> @t421 @t419))) % 0.42/0.84 (assume @p205 (forall @t422 (= (_ @t434 tptp.zero_zero_multiset_a) @t418))) % 0.42/0.84 (assume @p206 @t507) % 0.42/0.84 (assume @p207 true) % 0.42/0.84 (step @p208 (= tptp.heapIm229596386mpty_a @t509) :rule refl :args (@t509)) % 0.42/0.84 (step @p209 (= tptp.heapIm1057938560list_a @t511) :rule refl :args (@t511)) % 0.42/0.84 (step @p210 (= tptp.ord_less_eq_o_a @t515) :rule refl :args (@t515)) % 0.42/0.84 (step @p211 (= tptp.ord_less_eq_o_o_a @t518) :rule refl :args (@t518)) % 0.42/0.84 (step @p212 (= tptp.heap_axioms_Tree_a_a @t537) :rule refl :args (@t537)) % 0.42/0.84 (step @p213 (= tptp.remove301631099ee_a_a @t541) :rule refl :args (@t541)) % 0.42/0.84 (step @p214 (= tptp.is_empty_a @t542) :rule refl :args (@t542)) % 0.42/0.84 (step @p215 (= tptp.subseteq_mset_a @t546) :rule refl :args (@t546)) % 0.42/0.84 (step @p216 :rule eq-symm :args (@t551 @t552)) % 0.42/0.84 (step @p217 :rule refl :args ((tptp.multiset_a2 @t502))) % 0.42/0.84 (step @p218 :rule refl :args ((tptp.t_a tptp.v @t7 @t3))) % 0.42/0.84 (step @p219 :rule refl :args (@t547)) % 0.42/0.84 (step @p220 :rule refl :args (@t548)) % 0.42/0.84 (step @p221 :rule refl :args (tptp.v)) % 0.42/0.84 (step @p222 :rule cong :premises (@p221 @p220 @p219) :args (@t549)) % 0.42/0.84 (step @p223 :rule trans :premises (@p222 @p218)) % 0.42/0.84 (step @p224 :rule cong :premises (@p223) :args (@t552)) % 0.42/0.84 (step @p225 :rule trans :premises (@p224 @p217)) % 0.42/0.84 (step @p226 :rule refl :args (tptp.multiset_a2)) % 0.42/0.84 (step @p227 :rule ho_cong :premises (@p226 @p223)) % 0.42/0.84 (step @p228 :rule cong :premises (@p227 @p225) :args ((= (_ tptp.multiset_a2 @t549) @t552))) % 0.42/0.84 (step @p229 :rule symm :premises (@p228)) % 0.42/0.84 (step @p230 :rule refl :args (@t503)) % 0.42/0.84 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 0.42/0.84 (step @p232 :rule refl :args (@t4)) % 0.42/0.84 (step @p233 :rule ho_cong :premises (@p232 @p220)) % 0.42/0.84 (step @p234 :rule ho_cong :premises (@p233 @p219)) % 0.42/0.84 (step @p235 :rule cong :premises (@p234 @p223) :args ((= (_ (_ @t4 @t548) @t547) @t549))) % 0.42/0.84 (step @p236 :rule symm :premises (@p235)) % 0.42/0.84 (step @p237 :rule refl :args (@t502)) % 0.42/0.84 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.42/0.84 (step @p239 :rule refl :args (@t3)) % 0.42/0.84 (step @p240 :rule cong :premises (@p239 @p219) :args ((= @t3 @t547))) % 0.42/0.84 (step @p241 :rule symm :premises (@p240)) % 0.42/0.84 (step @p242 :rule eq_resolve :premises (@p239 @p241)) % 0.42/0.84 (step @p243 :rule refl :args (@t7)) % 0.42/0.84 (step @p244 :rule cong :premises (@p243 @p220) :args ((= @t7 @t548))) % 0.42/0.84 (step @p245 :rule symm :premises (@p244)) % 0.42/0.84 (step @p246 :rule eq_resolve :premises (@p243 @p245)) % 0.42/0.84 (step @p247 :rule refl :args (@t4)) % 0.42/0.84 (step @p248 :rule ho_cong :premises (@p247 @p246)) % 0.42/0.84 (step @p249 :rule ho_cong :premises (@p248 @p242)) % 0.42/0.84 (step @p250 :rule trans :premises (@p249 @p238)) % 0.42/0.84 (step @p251 :rule refl :args (tptp.multiset_a2)) % 0.42/0.84 (step @p252 :rule ho_cong :premises (@p251 @p250)) % 0.42/0.84 (step @p253 :rule trans :premises (@p252 @p231)) % 0.42/0.84 (step @p254 :rule refl :args ((tptp.multiset_a2 @t504))) % 0.42/0.84 (step @p255 :rule refl :args ((tptp.heapIm1091024090Down_a @t502))) % 0.42/0.84 (step @p256 :rule cong :premises (@p223) :args (@t550)) % 0.42/0.84 (step @p257 :rule trans :premises (@p256 @p255)) % 0.42/0.84 (step @p258 :rule cong :premises (@p257) :args (@t551)) % 0.42/0.84 (step @p259 :rule trans :premises (@p258 @p254)) % 0.42/0.84 (step @p260 :rule ho_cong :premises (@p226 @p257)) % 0.42/0.84 (step @p261 :rule cong :premises (@p260 @p259) :args ((= (_ tptp.multiset_a2 @t550) @t551))) % 0.42/0.84 (step @p262 :rule symm :premises (@p261)) % 0.42/0.84 (step @p263 :rule refl :args (@t505)) % 0.42/0.84 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 0.42/0.84 (step @p265 :rule refl :args (tptp.heapIm1091024090Down_a)) % 0.42/0.84 (step @p266 :rule ho_cong :premises (@p265 @p223)) % 0.42/0.84 (step @p267 :rule cong :premises (@p266 @p257) :args ((= (_ tptp.heapIm1091024090Down_a @t549) @t550))) % 0.42/0.84 (step @p268 :rule symm :premises (@p267)) % 0.42/0.84 (step @p269 :rule refl :args (@t504)) % 0.42/0.84 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 0.42/0.84 (step @p271 :rule refl :args (tptp.heapIm1091024090Down_a)) % 0.42/0.84 (step @p272 :rule ho_cong :premises (@p271 @p250)) % 0.42/0.84 (step @p273 :rule trans :premises (@p272 @p270)) % 0.42/0.84 (step @p274 :rule ho_cong :premises (@p251 @p273)) % 0.42/0.84 (step @p275 :rule trans :premises (@p274 @p264)) % 0.42/0.84 (step @p276 :rule cong :premises (@p275 @p253) :args (@t506)) % 0.42/0.84 (step @p277 :rule trans :premises (@p276 @p216)) % 0.42/0.84 (step @p278 :rule cong :premises (@p277) :args (@t507)) % 0.42/0.84 (step @p279 :rule eq_resolve :premises (@p206 @p278)) % 0.42/0.84 (step @p280 :rule refl :args ((tptp.t_a @t567 @t566 @t562))) % 0.42/0.84 (step @p281 :rule refl :args ((tptp.heapIm1091024090Down_a @t561))) % 0.42/0.84 (step @p282 :rule refl :args ((tptp.t_a @t559 @t558 @t557))) % 0.42/0.84 (step @p283 :rule refl :args ((tptp.heapIm1257206334ight_a @t556))) % 0.42/0.84 (step @p284 :rule refl :args (@t568)) % 0.42/0.84 (step @p285 :rule cong :premises (@p284) :args (@t569)) % 0.42/0.84 (step @p286 :rule trans :premises (@p285 @p283)) % 0.42/0.84 (step @p287 :rule refl :args ((tptp.heapIm1140443833left_a @t556))) % 0.42/0.84 (step @p288 :rule cong :premises (@p284) :args (@t570)) % 0.42/0.84 (step @p289 :rule trans :premises (@p288 @p287)) % 0.42/0.84 (step @p290 :rule refl :args (@t559)) % 0.42/0.84 (step @p291 :rule cong :premises (@p290 @p289 @p286) :args (@t571)) % 0.42/0.84 (step @p292 :rule trans :premises (@p291 @p282)) % 0.42/0.84 (step @p293 :rule cong :premises (@p292) :args (@t572)) % 0.42/0.84 (step @p294 :rule trans :premises (@p293 @p281)) % 0.42/0.84 (step @p295 :rule refl :args (@t573)) % 0.42/0.84 (step @p296 :rule refl :args ((tptp.val_a @t556))) % 0.42/0.84 (step @p297 :rule cong :premises (@p284) :args (@t574)) % 0.42/0.84 (step @p298 :rule trans :premises (@p297 @p296)) % 0.42/0.84 (step @p299 :rule cong :premises (@p298 @p295 @p294) :args (@t575)) % 0.42/0.84 (step @p300 :rule trans :premises (@p299 @p280)) % 0.42/0.84 (step @p301 :rule refl :args (tptp.t_a)) % 0.42/0.84 (step @p302 :rule ho_cong :premises (@p301 @p298)) % 0.42/0.84 (step @p303 :rule ho_cong :premises (@p302 @p295)) % 0.42/0.84 (step @p304 :rule ho_cong :premises (@p303 @p294)) % 0.42/0.84 (step @p305 :rule cong :premises (@p304 @p300) :args ((= (_ (_ (_ tptp.t_a @t574) @t573) @t572) @t575))) % 0.42/0.84 (step @p306 :rule symm :premises (@p305)) % 0.42/0.84 (step @p307 :rule refl :args (@t576)) % 0.42/0.84 (step @p308 :rule eq_resolve :premises (@p307 @p306)) % 0.42/0.84 (step @p309 :rule ho_cong :premises (@p265 @p292)) % 0.42/0.84 (step @p310 :rule cong :premises (@p309 @p294) :args ((= (_ tptp.heapIm1091024090Down_a @t571) @t572))) % 0.42/0.84 (step @p311 :rule symm :premises (@p310)) % 0.42/0.84 (step @p312 :rule refl :args (@t562)) % 0.42/0.84 (step @p313 :rule eq_resolve :premises (@p312 @p311)) % 0.42/0.84 (step @p314 :rule refl :args (@t560)) % 0.42/0.84 (step @p315 :rule ho_cong :premises (@p314 @p289)) % 0.42/0.84 (step @p316 :rule ho_cong :premises (@p315 @p286)) % 0.42/0.84 (step @p317 :rule cong :premises (@p316 @p292) :args ((= (_ (_ @t560 @t570) @t569) @t571))) % 0.42/0.84 (step @p318 :rule symm :premises (@p317)) % 0.42/0.84 (step @p319 :rule refl :args (@t561)) % 0.42/0.84 (step @p320 :rule eq_resolve :premises (@p319 @p318)) % 0.42/0.84 (step @p321 :rule refl :args (tptp.heapIm1257206334ight_a)) % 0.42/0.84 (step @p322 :rule ho_cong :premises (@p321 @p284)) % 0.42/0.84 (step @p323 :rule cong :premises (@p322 @p286) :args ((= (_ tptp.heapIm1257206334ight_a @t568) @t569))) % 0.42/0.84 (step @p324 :rule symm :premises (@p323)) % 0.42/0.84 (step @p325 :rule refl :args (@t557)) % 0.42/0.84 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.42/0.84 (step @p327 :rule refl :args (@t556)) % 0.42/0.84 (step @p328 :rule cong :premises (@p327 @p284) :args ((= @t556 @t568))) % 0.42/0.84 (step @p329 :rule symm :premises (@p328)) % 0.42/0.84 (step @p330 :rule eq_resolve :premises (@p327 @p329)) % 0.42/0.84 (step @p331 :rule ho_cong :premises (@p321 @p330)) % 0.42/0.84 (step @p332 :rule trans :premises (@p331 @p326)) % 0.42/0.84 (step @p333 :rule refl :args (tptp.heapIm1140443833left_a)) % 0.42/0.84 (step @p334 :rule ho_cong :premises (@p333 @p284)) % 0.42/0.84 (step @p335 :rule cong :premises (@p334 @p289) :args ((= (_ tptp.heapIm1140443833left_a @t568) @t570))) % 0.42/0.84 (step @p336 :rule symm :premises (@p335)) % 0.42/0.84 (step @p337 :rule refl :args (@t558)) % 0.42/0.84 (step @p338 :rule eq_resolve :premises (@p337 @p336)) % 0.42/0.84 (step @p339 :rule ho_cong :premises (@p333 @p330)) % 0.42/0.84 (step @p340 :rule trans :premises (@p339 @p338)) % 0.42/0.84 (step @p341 :rule ho_cong :premises (@p314 @p340)) % 0.42/0.84 (step @p342 :rule ho_cong :premises (@p341 @p332)) % 0.42/0.84 (step @p343 :rule trans :premises (@p342 @p320)) % 0.42/0.84 (step @p344 :rule ho_cong :premises (@p265 @p343)) % 0.42/0.84 (step @p345 :rule trans :premises (@p344 @p313)) % 0.42/0.84 (step @p346 :rule refl :args (@t566)) % 0.42/0.84 (step @p347 :rule cong :premises (@p346 @p295) :args ((= @t566 @t573))) % 0.42/0.84 (step @p348 :rule symm :premises (@p347)) % 0.42/0.84 (step @p349 :rule eq_resolve :premises (@p346 @p348)) % 0.42/0.84 (step @p350 :rule refl :args (tptp.val_a)) % 0.42/0.84 (step @p351 :rule ho_cong :premises (@p350 @p284)) % 0.42/0.84 (step @p352 :rule cong :premises (@p351 @p298) :args ((= (_ tptp.val_a @t568) @t574))) % 0.42/0.84 (step @p353 :rule symm :premises (@p352)) % 0.42/0.84 (step @p354 :rule refl :args (@t567)) % 0.42/0.84 (step @p355 :rule eq_resolve :premises (@p354 @p353)) % 0.42/0.84 (step @p356 :rule ho_cong :premises (@p350 @p330)) % 0.42/0.84 (step @p357 :rule trans :premises (@p356 @p355)) % 0.42/0.84 (step @p358 :rule ho_cong :premises (@p301 @p357)) % 0.42/0.84 (step @p359 :rule ho_cong :premises (@p358 @p349)) % 0.42/0.84 (step @p360 :rule ho_cong :premises (@p359 @p345)) % 0.42/0.84 (step @p361 :rule trans :premises (@p360 @p308)) % 0.42/0.84 (step @p362 :rule refl :args ((tptp.heapIm1091024090Down_a @t577))) % 0.42/0.84 (step @p363 :rule refl :args ((tptp.t_a @t559 @t566 @t556))) % 0.42/0.84 (step @p364 :rule cong :premises (@p290 @p295 @p284) :args (@t578)) % 0.42/0.84 (step @p365 :rule trans :premises (@p364 @p363)) % 0.42/0.84 (step @p366 :rule cong :premises (@p365) :args (@t579)) % 0.42/0.84 (step @p367 :rule trans :premises (@p366 @p362)) % 0.42/0.84 (step @p368 :rule ho_cong :premises (@p265 @p365)) % 0.42/0.84 (step @p369 :rule cong :premises (@p368 @p367) :args ((= (_ tptp.heapIm1091024090Down_a @t578) @t579))) % 0.42/0.84 (step @p370 :rule symm :premises (@p369)) % 0.42/0.84 (step @p371 :rule refl :args (@t580)) % 0.42/0.84 (step @p372 :rule eq_resolve :premises (@p371 @p370)) % 0.42/0.84 (step @p373 :rule ho_cong :premises (@p314 @p295)) % 0.42/0.84 (step @p374 :rule ho_cong :premises (@p373 @p284)) % 0.42/0.84 (step @p375 :rule cong :premises (@p374 @p365) :args ((= (_ (_ @t560 @t573) @t568) @t578))) % 0.42/0.84 (step @p376 :rule symm :premises (@p375)) % 0.42/0.84 (step @p377 :rule refl :args (@t577)) % 0.42/0.84 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 0.42/0.84 (step @p379 :rule ho_cong :premises (@p314 @p349)) % 0.42/0.84 (step @p380 :rule ho_cong :premises (@p379 @p330)) % 0.42/0.84 (step @p381 :rule trans :premises (@p380 @p378)) % 0.42/0.84 (step @p382 :rule ho_cong :premises (@p265 @p381)) % 0.42/0.84 (step @p383 :rule trans :premises (@p382 @p372)) % 0.42/0.84 (step @p384 :rule cong :premises (@p383 @p361) :args (@t581)) % 0.42/0.84 (step @p385 :rule refl :args ((tptp.ord_less_eq_a @t567 @t559))) % 0.42/0.84 (step @p386 :rule cong :premises (@p298 @p290) :args (@t582)) % 0.42/0.84 (step @p387 :rule trans :premises (@p386 @p385)) % 0.42/0.84 (step @p388 :rule refl :args (tptp.ord_less_eq_a)) % 0.42/0.84 (step @p389 :rule ho_cong :premises (@p388 @p298)) % 0.42/0.84 (step @p390 :rule ho_cong :premises (@p389 @p290)) % 0.42/0.84 (step @p391 :rule cong :premises (@p390 @p387) :args ((= (_ @t583 @t559) @t582))) % 0.42/0.84 (step @p392 :rule symm :premises (@p391)) % 0.42/0.84 (step @p393 :rule refl :args (@t585)) % 0.42/0.84 (step @p394 :rule eq_resolve :premises (@p393 @p392)) % 0.42/0.84 (step @p395 :rule ho_cong :premises (@p388 @p357)) % 0.42/0.84 (step @p396 :rule ho_cong :premises (@p395 @p290)) % 0.42/0.84 (step @p397 :rule trans :premises (@p396 @p394)) % 0.42/0.84 (step @p398 :rule nary_cong :premises (@p397 @p384) :args (@t586)) % 0.42/0.84 (step @p399 :rule cong :premises (@p381 @p383) :args (@t587)) % 0.42/0.84 (step @p400 :rule cong :premises (@p397) :args (@t588)) % 0.42/0.84 (step @p401 :rule nary_cong :premises 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@p666 :rule refl :args (@t2)) % 0.42/0.84 (step @p667 :rule cong :premises (@p666 @p665) :args ((= @t2 @t664))) % 0.42/0.84 (step @p668 :rule symm :premises (@p667)) % 0.42/0.84 (step @p669 :rule eq_resolve :premises (@p666 @p668)) % 0.42/0.84 (step @p670 :rule eq_resolve :premises (@p2 @p669)) % 0.42/0.84 (step @p671 :rule true_intro :premises (@p670)) % 0.42/0.84 (step @p672 :rule refl :args (tptp.v)) % 0.42/0.84 (step @p673 :rule cong :premises (@p653 @p672) :args (@t656)) % 0.42/0.84 (step @p674 :rule trans :premises (@p673 @p671)) % 0.42/0.84 (step @p675 :rule true_elim :premises (@p674)) % 0.42/0.84 (step @p676 :rule cnf_or_pos :args (@t659)) % 0.42/0.84 (step @p677 :rule reordering :premises (@p676) :args ((or @t658 @t657 (not @t659)))) % 0.42/0.84 (step @p678 :rule chain_m_resolution :premises (@p677 @p675 @p664) :args (@t657 @t663 (@list @t656 @t659))) % 0.42/0.84 (assume-push @p686 @t657) % 0.42/0.84 (step @p680 :rule cong :premises (@p678) :args (@t552)) % 0.42/0.84 (step-pop @p687 :rule scope :premises (@p680)) % 0.42/0.84 (step @p681 :rule process_scope :premises (@p687) :args (@t665)) % 0.42/0.84 (step @p683 :rule implies_elim :premises (@p681)) % 0.42/0.84 (step @p684 :rule reordering :premises (@p683) :args ((or @t665 (not @t657)))) % 0.42/0.84 (step @p685 false :rule chain_m_resolution :premises (@p684 @p678 @p279) :args (false (@list false true) (@list @t657 @t665))) % 0.42/0.84 ) % 0.42/0.84 % SZS output end Proof % 0.42/0.84 % cvc5 exiting %------------------------------------------------------------------------------