%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP067^1 : 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 : n014.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 08:24:57 AM UTC 2026 % Result : Theorem 0.85s 1.06s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP067^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.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 04:13:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.53 %----Proving TH0 % 0.85/1.06 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.85/1.06 % SZS status Theorem % 0.85/1.06 % SZS output start Proof % 0.85/1.06 ( % 0.85/1.06 (declare-sort tptp.multiset_a 0) % 0.85/1.06 (declare-sort tptp.a 0) % 0.85/1.06 (declare-sort tptp.set_a 0) % 0.85/1.06 (declare-sort tptp.tree_a 0) % 0.85/1.06 (declare-const tptp.ord_less_eq_a (-> tptp.a tptp.a Bool)) % 0.85/1.06 (declare-const tptp.set_Tree_a (-> tptp.tree_a tptp.set_a)) % 0.85/1.06 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.85/1.06 (declare-const tptp.bot_bot_set_a tptp.set_a) % 0.85/1.06 (declare-const tptp.ord_le1199012836iset_a (-> tptp.multiset_a tptp.multiset_a Bool)) % 0.85/1.06 (declare-const tptp.plus_plus_multiset_a (-> tptp.multiset_a tptp.multiset_a tptp.multiset_a)) % 0.85/1.06 (declare-const tptp.minus_1649712171iset_a (-> tptp.multiset_a tptp.multiset_a tptp.multiset_a)) % 0.85/1.06 (declare-const tptp.insert_a (-> tptp.a tptp.set_a tptp.set_a)) % 0.85/1.06 (declare-const tptp.add_mset_a (-> tptp.a tptp.multiset_a tptp.multiset_a)) % 0.85/1.06 (declare-const tptp.l1 tptp.tree_a) % 0.85/1.06 (declare-const tptp.v tptp.a) % 0.85/1.06 (declare-const tptp.ord_less_eq_Tree_a_o (-> (-> tptp.tree_a Bool) (-> tptp.tree_a Bool) Bool)) % 0.85/1.06 (declare-const tptp.heapIm1140443833left_a (-> tptp.tree_a tptp.tree_a)) % 0.85/1.06 (declare-const tptp.l2 tptp.tree_a) % 0.85/1.06 (declare-const tptp.r1 tptp.tree_a) % 0.85/1.06 (declare-const tptp.heapIm1257206334ight_a (-> tptp.tree_a tptp.tree_a)) % 0.85/1.06 (declare-const tptp.heapIm1091024090Down_a (-> tptp.tree_a tptp.tree_a)) % 0.85/1.06 (declare-const tptp.r2 tptp.tree_a) % 0.85/1.06 (declare-const tptp.e_a tptp.tree_a) % 0.85/1.06 (declare-const tptp.t tptp.tree_a) % 0.85/1.06 (declare-const tptp.v3 tptp.a) % 0.85/1.06 (declare-const tptp.in_tree_a (-> tptp.a tptp.tree_a Bool)) % 0.85/1.06 (declare-const tptp.t_a (-> tptp.a tptp.tree_a tptp.tree_a tptp.tree_a)) % 0.85/1.06 (declare-const tptp.v1 tptp.a) % 0.85/1.06 (declare-const tptp.v2 tptp.a) % 0.85/1.06 (declare-const tptp.ord_less_eq_a_o (-> (-> tptp.a Bool) (-> tptp.a Bool) Bool)) % 0.85/1.06 (declare-const tptp.val_a (-> tptp.tree_a tptp.a)) % 0.85/1.06 (declare-const tptp.order_Greatest_a (-> (-> tptp.a Bool) tptp.a)) % 0.85/1.06 (declare-const tptp.is_heap_a (-> tptp.tree_a Bool)) % 0.85/1.06 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.85/1.06 (declare-const tptp.order_Greatest_o_a (-> (-> (-> Bool tptp.a) Bool) Bool tptp.a)) % 0.85/1.06 (declare-const tptp.multiset_a2 (-> tptp.tree_a tptp.multiset_a)) % 0.85/1.06 (declare-const tptp.set_mset_a (-> tptp.multiset_a tptp.set_a)) % 0.85/1.06 (declare-const tptp.lattic146396397_Max_a (-> tptp.set_a tptp.a)) % 0.85/1.06 (declare-const tptp.zero_zero_multiset_a tptp.multiset_a) % 0.85/1.06 (declare-const tptp.minus_minus_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) % 0.85/1.06 (declare-const tptp.is_singleton_a (-> tptp.set_a Bool)) % 0.85/1.06 (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)))))))) % 0.85/1.06 (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))))))) % 0.85/1.06 (define tptp.pred_Tree_a () (let ((_let_1 (@var "Y3" tptp.a))) (let ((_let_2 (@var "P2" (-> tptp.a Bool)))) (let ((_let_3 (@var "X4" tptp.tree_a))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.member_a _let_1) (_ tptp.set_Tree_a _let_3)) (_ _let_2 _let_1)))))))) % 0.85/1.06 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "X4" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A5" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.85/1.06 (define tptp.ball_a () (let ((_let_1 (@var "X4" tptp.a))) (let ((_let_2 (@var "P2" (-> tptp.a Bool)))) (let ((_let_3 (@var "A5" tptp.set_a))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (_ (_ tptp.member_a _let_1) _let_3) (_ _let_2 _let_1)))))))) % 0.85/1.06 (define tptp.bot_bot_a_o () (let ((_let_1 (@var "X4" tptp.a))) (lambda (@list _let_1) (_ (_ tptp.member_a _let_1) tptp.bot_bot_set_a)))) % 0.85/1.06 (define @t1 () (= tptp.v tptp.v1)) % 0.85/1.06 (define @t2 () (= tptp.v tptp.v3)) % 0.85/1.06 (define @t3 () (_ tptp.in_tree_a tptp.v)) % 0.85/1.06 (define @t4 () (_ (_ tptp.ord_less_eq_a tptp.v2) tptp.v1)) % 0.85/1.06 (define @t5 () (_ (_ (_ tptp.t_a tptp.v2) tptp.l2) tptp.r2)) % 0.85/1.06 (define @t6 () (_ (_ (_ tptp.t_a tptp.v1) tptp.l1) tptp.r1)) % 0.85/1.06 (define @t7 () (_ tptp.t_a tptp.v3)) % 0.85/1.06 (define @t8 () (_ (_ @t7 @t6) @t5)) % 0.85/1.06 (define @t9 () (_ tptp.heapIm1091024090Down_a @t8)) % 0.85/1.06 (define @t10 () (_ @t3 @t9)) % 0.85/1.06 (define @t11 () (@var "Y23" tptp.tree_a)) % 0.85/1.06 (define @t12 () (@var "X23" tptp.tree_a)) % 0.85/1.06 (define @t13 () (@var "Y22" tptp.tree_a)) % 0.85/1.06 (define @t14 () (@var "X22" tptp.tree_a)) % 0.85/1.06 (define @t15 () (@var "Y21" tptp.a)) % 0.85/1.06 (define @t16 () (@var "X21" tptp.a)) % 0.85/1.06 (define @t17 () (_ (_ (_ tptp.t_a @t16) @t14) @t12)) % 0.85/1.06 (define @t18 () (@var "R" tptp.tree_a)) % 0.85/1.06 (define @t19 () (@var "V" tptp.a)) % 0.85/1.06 (define @t20 () (_ tptp.in_tree_a @t19)) % 0.85/1.06 (define @t21 () (_ @t20 @t18)) % 0.85/1.06 (define @t22 () (@var "L" tptp.tree_a)) % 0.85/1.06 (define @t23 () (_ @t20 @t22)) % 0.85/1.06 (define @t24 () (@var "V2" tptp.a)) % 0.85/1.06 (define @t25 () (= @t19 @t24)) % 0.85/1.06 (define @t26 () (or @t25 @t23 @t21)) % 0.85/1.06 (define @t27 () (_ (_ (_ tptp.t_a @t24) @t22) @t18)) % 0.85/1.06 (define @t28 () (_ @t20 @t27)) % 0.85/1.06 (define @t29 () (= @t28 @t26)) % 0.85/1.06 (define @t30 () (forall (@list @t19 @t24 @t22 @t18) @t29)) % 0.85/1.06 (define @t31 () (_ (_ @t7 (_ tptp.heapIm1140443833left_a @t5)) (_ tptp.heapIm1257206334ight_a @t5))) % 0.85/1.06 (define @t32 () (_ tptp.val_a @t5)) % 0.85/1.06 (define @t33 () (_ tptp.ord_less_eq_a @t32)) % 0.85/1.06 (define @t34 () (_ tptp.val_a @t6)) % 0.85/1.06 (define @t35 () (_ @t33 @t34)) % 0.85/1.06 (define @t36 () (_ tptp.heapIm1257206334ight_a @t6)) % 0.85/1.06 (define @t37 () (_ tptp.heapIm1140443833left_a @t6)) % 0.85/1.06 (define @t38 () (_ (_ @t7 @t37) @t36)) % 0.85/1.06 (define @t39 () (_ @t3 @t38)) % 0.85/1.06 (define @t40 () (_ tptp.heapIm1091024090Down_a @t38)) % 0.85/1.06 (define @t41 () (_ @t3 @t40)) % 0.85/1.06 (define @t42 () (=> @t41 @t39)) % 0.85/1.06 (define @t43 () (_ (_ tptp.ord_less_eq_a @t34) tptp.v3)) % 0.85/1.06 (define @t44 () (not @t43)) % 0.85/1.06 (define @t45 () (=> @t44 @t42)) % 0.85/1.06 (define @t46 () (=> @t35 @t45)) % 0.85/1.06 (define @t47 () (_ tptp.t_a @t19)) % 0.85/1.06 (define @t48 () (_ (_ @t47 @t22) @t18)) % 0.85/1.06 (define @t49 () (_ tptp.heapIm1140443833left_a @t48)) % 0.85/1.06 (define @t50 () (@list @t19 @t22 @t18)) % 0.85/1.06 (define @t51 () (forall @t50 (= @t49 @t22))) % 0.85/1.06 (define @t52 () (_ tptp.heapIm1257206334ight_a @t48)) % 0.85/1.06 (define @t53 () (forall @t50 (= @t52 @t18))) % 0.85/1.06 (define @t54 () (@var "Vf" tptp.tree_a)) % 0.85/1.06 (define @t55 () (@var "Ve" tptp.tree_a)) % 0.85/1.06 (define @t56 () (@var "Vd" tptp.a)) % 0.85/1.06 (define @t57 () (@var "Vc" tptp.tree_a)) % 0.85/1.06 (define @t58 () (@var "Vb" tptp.tree_a)) % 0.85/1.06 (define @t59 () (@var "Va" tptp.a)) % 0.85/1.06 (define @t60 () (_ (_ (_ tptp.t_a @t59) @t58) @t57)) % 0.85/1.06 (define @t61 () (@var "V3" tptp.a)) % 0.85/1.06 (define @t62 () (_ tptp.t_a @t61)) % 0.85/1.06 (define @t63 () (_ @t62 @t60)) % 0.85/1.06 (define @t64 () (@var "X" tptp.tree_a)) % 0.85/1.06 (define @t65 () (not (forall (@list @t61 @t59 @t58 @t57 @t56 @t55 @t54) (not (= @t64 (_ @t63 (_ (_ (_ tptp.t_a @t56) @t55) @t54))))))) % 0.85/1.06 (define @t66 () (_ @t62 tptp.e_a)) % 0.85/1.06 (define @t67 () (@list @t61 @t59 @t58 @t57)) % 0.85/1.06 (define @t68 () (forall @t67 (not (= @t64 (_ @t66 @t60))))) % 0.85/1.06 (define @t69 () (forall @t67 (not (= @t64 (_ @t63 tptp.e_a))))) % 0.85/1.06 (define @t70 () (forall (@list @t61) (not (= @t64 (_ @t66 tptp.e_a))))) % 0.85/1.06 (define @t71 () (not (= @t64 tptp.e_a))) % 0.85/1.06 (define @t72 () (@list @t64)) % 0.85/1.06 (define @t73 () (@var "Ab" tptp.tree_a)) % 0.85/1.06 (define @t74 () (@var "P" (-> tptp.a Bool))) % 0.85/1.06 (define @t75 () (_ tptp.pred_Tree_a @t74)) % 0.85/1.06 (define @t76 () (@var "Aa" tptp.tree_a)) % 0.85/1.06 (define @t77 () (@var "A" tptp.a)) % 0.85/1.06 (define @t78 () (_ @t74 @t77)) % 0.85/1.06 (define @t79 () (@list @t19)) % 0.85/1.06 (define @t80 () (_ tptp.set_Tree_a @t17)) % 0.85/1.06 (define @t81 () (@var "Ya" tptp.a)) % 0.85/1.06 (define @t82 () (_ tptp.member_a @t81)) % 0.85/1.06 (define @t83 () (@var "Vc2" tptp.tree_a)) % 0.85/1.06 (define @t84 () (@var "Vb2" tptp.tree_a)) % 0.85/1.06 (define @t85 () (@var "Va2" tptp.a)) % 0.85/1.06 (define @t86 () (_ (_ (_ tptp.t_a @t85) @t84) @t83)) % 0.85/1.06 (define @t87 () (_ tptp.heapIm1091024090Down_a (_ (_ @t47 (_ tptp.heapIm1140443833left_a @t86)) (_ tptp.heapIm1257206334ight_a @t86)))) % 0.85/1.06 (define @t88 () (@var "Vf2" tptp.tree_a)) % 0.85/1.06 (define @t89 () (@var "Ve2" tptp.tree_a)) % 0.85/1.06 (define @t90 () (@var "Vd2" tptp.a)) % 0.85/1.06 (define @t91 () (_ (_ (_ tptp.t_a @t90) @t89) @t88)) % 0.85/1.06 (define @t92 () (_ tptp.val_a @t86)) % 0.85/1.06 (define @t93 () (_ tptp.t_a @t92)) % 0.85/1.06 (define @t94 () (_ (_ @t47 @t91) @t86)) % 0.85/1.06 (define @t95 () (_ tptp.heapIm1091024090Down_a @t94)) % 0.85/1.06 (define @t96 () (= @t95 (_ (_ @t93 @t91) @t87))) % 0.85/1.06 (define @t97 () (_ tptp.ord_less_eq_a @t92)) % 0.85/1.06 (define @t98 () (_ @t97 @t19)) % 0.85/1.06 (define @t99 () (not @t98)) % 0.85/1.06 (define @t100 () (=> @t99 @t96)) % 0.85/1.06 (define @t101 () (= @t95 @t94)) % 0.85/1.06 (define @t102 () (=> @t98 @t101)) % 0.85/1.06 (define @t103 () (and @t102 @t100)) % 0.85/1.06 (define @t104 () (_ tptp.val_a @t91)) % 0.85/1.06 (define @t105 () (_ @t97 @t104)) % 0.85/1.06 (define @t106 () (not @t105)) % 0.85/1.06 (define @t107 () (=> @t106 @t103)) % 0.85/1.06 (define @t108 () (_ tptp.heapIm1091024090Down_a (_ (_ @t47 (_ tptp.heapIm1140443833left_a @t91)) (_ tptp.heapIm1257206334ight_a @t91)))) % 0.85/1.06 (define @t109 () (_ tptp.t_a @t104)) % 0.85/1.06 (define @t110 () (= @t95 (_ (_ @t109 @t108) @t86))) % 0.85/1.06 (define @t111 () (_ tptp.ord_less_eq_a @t104)) % 0.85/1.06 (define @t112 () (_ @t111 @t19)) % 0.85/1.06 (define @t113 () (not @t112)) % 0.85/1.06 (define @t114 () (=> @t113 @t110)) % 0.85/1.06 (define @t115 () (=> @t112 @t101)) % 0.85/1.06 (define @t116 () (and @t115 @t114)) % 0.85/1.06 (define @t117 () (=> @t105 @t116)) % 0.85/1.06 (define @t118 () (and @t117 @t107)) % 0.85/1.06 (define @t119 () (@list @t85 @t84 @t83 @t90 @t89 @t88 @t19)) % 0.85/1.06 (define @t120 () (forall @t119 @t118)) % 0.85/1.06 (define @t121 () (_ @t47 @t86)) % 0.85/1.06 (define @t122 () (_ @t121 @t91)) % 0.85/1.06 (define @t123 () (_ tptp.heapIm1091024090Down_a @t122)) % 0.85/1.06 (define @t124 () (= @t123 @t122)) % 0.85/1.06 (define @t125 () (_ @t111 @t92)) % 0.85/1.06 (define @t126 () (_ @t93 @t87)) % 0.85/1.06 (define @t127 () (_ @t47 tptp.e_a)) % 0.85/1.06 (define @t128 () (_ @t127 @t86)) % 0.85/1.06 (define @t129 () (_ tptp.heapIm1091024090Down_a @t128)) % 0.85/1.06 (define @t130 () (@list @t85 @t84 @t83 @t19)) % 0.85/1.06 (define @t131 () (_ @t121 tptp.e_a)) % 0.85/1.06 (define @t132 () (_ tptp.heapIm1091024090Down_a @t131)) % 0.85/1.06 (define @t133 () (@var "Ya" tptp.tree_a)) % 0.85/1.06 (define @t134 () (@var "Pa" (-> tptp.a Bool))) % 0.85/1.06 (define @t135 () (_ tptp.pred_Tree_a @t134)) % 0.85/1.06 (define @t136 () (_ @t75 @t64)) % 0.85/1.06 (define @t137 () (@var "Z" tptp.a)) % 0.85/1.06 (define @t138 () (_ @t134 @t137)) % 0.85/1.06 (define @t139 () (_ @t74 @t137)) % 0.85/1.06 (define @t140 () (_ tptp.member_a @t137)) % 0.85/1.06 (define @t141 () (@list @t137)) % 0.85/1.06 (define @t142 () (@var "T" tptp.tree_a)) % 0.85/1.06 (define @t143 () (_ tptp.heapIm1091024090Down_a @t142)) % 0.85/1.06 (define @t144 () (not (= @t142 tptp.e_a))) % 0.85/1.06 (define @t145 () (@list @t142)) % 0.85/1.06 (define @t146 () (@var "V4" tptp.a)) % 0.85/1.06 (define @t147 () (_ tptp.ord_less_eq_a @t19)) % 0.85/1.06 (define @t148 () (@var "R2" tptp.tree_a)) % 0.85/1.06 (define @t149 () (@var "L2" tptp.tree_a)) % 0.85/1.06 (define @t150 () (@var "X232" tptp.tree_a)) % 0.85/1.06 (define @t151 () (@var "X222" tptp.tree_a)) % 0.85/1.06 (define @t152 () (@var "X212" tptp.a)) % 0.85/1.06 (define @t153 () (@var "Y" tptp.tree_a)) % 0.85/1.06 (define @t154 () (@var "Tree" tptp.tree_a)) % 0.85/1.06 (define @t155 () (@var "P" (-> tptp.tree_a Bool))) % 0.85/1.06 (define @t156 () (@var "X3" tptp.tree_a)) % 0.85/1.06 (define @t157 () (@var "X2" tptp.tree_a)) % 0.85/1.06 (define @t158 () (@var "X1" tptp.a)) % 0.85/1.06 (define @t159 () (@list @t16 @t14 @t12)) % 0.85/1.06 (define @t160 () (_ @t127 tptp.e_a)) % 0.85/1.06 (define @t161 () (@var "Uv" tptp.tree_a)) % 0.85/1.06 (define @t162 () (@var "Uu" tptp.tree_a)) % 0.85/1.06 (define @t163 () (_ (_ @t47 @t162) @t161)) % 0.85/1.06 (define @t164 () (_ tptp.val_a @t163)) % 0.85/1.06 (define @t165 () (@list @t19 @t162 @t161)) % 0.85/1.06 (define @t166 () (forall @t165 (= @t164 @t19))) % 0.85/1.06 (define @t167 () (@var "Z3" tptp.tree_a)) % 0.85/1.06 (define @t168 () (@var "E" tptp.a)) % 0.85/1.06 (define @t169 () (_ tptp.member_a @t168)) % 0.85/1.06 (define @t170 () (@var "Z2" tptp.tree_a)) % 0.85/1.06 (define @t171 () (@var "Z1" tptp.a)) % 0.85/1.06 (define @t172 () (@var "A" tptp.tree_a)) % 0.85/1.06 (define @t173 () (= @t172 (_ (_ (_ tptp.t_a @t171) @t170) @t167))) % 0.85/1.06 (define @t174 () (@var "Y" tptp.a)) % 0.85/1.06 (define @t175 () (_ tptp.member_a @t174)) % 0.85/1.06 (define @t176 () (@var "X" (-> Bool tptp.a))) % 0.85/1.06 (define @t177 () (_ tptp.ord_less_eq_o_a @t176)) % 0.85/1.06 (define @t178 () (@var "X" tptp.a)) % 0.85/1.06 (define @t179 () (_ tptp.ord_less_eq_a @t178)) % 0.85/1.06 (define @t180 () (@list @t178)) % 0.85/1.06 (define @t181 () (_ tptp.is_heap_a @t86)) % 0.85/1.06 (define @t182 () (and @t98 @t181)) % 0.85/1.06 (define @t183 () (@list @t19 @t85 @t84 @t83)) % 0.85/1.06 (define @t184 () (_ tptp.val_a @t142)) % 0.85/1.06 (define @t185 () (_ tptp.is_heap_a @t142)) % 0.85/1.06 (define @t186 () (_ tptp.is_heap_a @t91)) % 0.85/1.06 (define @t187 () (@var "X" Bool)) % 0.85/1.06 (define @t188 () (@var "G" (-> Bool tptp.a))) % 0.85/1.06 (define @t189 () (@var "F" (-> Bool tptp.a))) % 0.85/1.06 (define @t190 () (_ (_ tptp.ord_less_eq_o_a @t189) @t188)) % 0.85/1.06 (define @t191 () (_ tptp.member_a @t77)) % 0.85/1.06 (define @t192 () (@var "A2" tptp.set_a)) % 0.85/1.06 (define @t193 () (@var "X4" tptp.a)) % 0.85/1.06 (define @t194 () (_ tptp.member_a @t193)) % 0.85/1.06 (define @t195 () (_ @t194 @t192)) % 0.85/1.06 (define @t196 () (@list @t193)) % 0.85/1.06 (define @t197 () (@list @t192)) % 0.85/1.06 (define @t198 () (@var "X5" Bool)) % 0.85/1.06 (define @t199 () (@var "B" (-> Bool tptp.a))) % 0.85/1.06 (define @t200 () (@var "A" (-> Bool tptp.a))) % 0.85/1.06 (define @t201 () (= @t200 @t199)) % 0.85/1.06 (define @t202 () (_ tptp.ord_less_eq_o_a @t200)) % 0.85/1.06 (define @t203 () (_ @t202 @t199)) % 0.85/1.06 (define @t204 () (_ tptp.ord_less_eq_o_a @t199)) % 0.85/1.06 (define @t205 () (_ @t204 @t200)) % 0.85/1.06 (define @t206 () (@var "B" tptp.a)) % 0.85/1.06 (define @t207 () (= @t77 @t206)) % 0.85/1.06 (define @t208 () (_ tptp.ord_less_eq_a @t77)) % 0.85/1.06 (define @t209 () (_ @t208 @t206)) % 0.85/1.06 (define @t210 () (_ tptp.ord_less_eq_a @t206)) % 0.85/1.06 (define @t211 () (_ @t210 @t77)) % 0.85/1.06 (define @t212 () (@list @t206 @t77)) % 0.85/1.06 (define @t213 () (@var "B2" (-> Bool tptp.a))) % 0.85/1.06 (define @t214 () (@var "A3" (-> Bool tptp.a))) % 0.85/1.06 (define @t215 () (_ (_ tptp.ord_less_eq_o_a @t214) @t213)) % 0.85/1.06 (define @t216 () (_ (_ tptp.ord_less_eq_o_a @t213) @t214)) % 0.85/1.06 (define @t217 () (@list @t214 @t213)) % 0.85/1.06 (define @t218 () (@var "Z4" (-> Bool tptp.a))) % 0.85/1.06 (define @t219 () (@var "Y2" (-> Bool tptp.a))) % 0.85/1.06 (define @t220 () (lambda (@list @t219 @t218) (= @t219 @t218))) % 0.85/1.06 (define @t221 () (@var "B2" tptp.a)) % 0.85/1.06 (define @t222 () (@var "A3" tptp.a)) % 0.85/1.06 (define @t223 () (_ (_ tptp.ord_less_eq_a @t222) @t221)) % 0.85/1.06 (define @t224 () (_ (_ tptp.ord_less_eq_a @t221) @t222)) % 0.85/1.06 (define @t225 () (@list @t222 @t221)) % 0.85/1.06 (define @t226 () (@var "Z4" tptp.a)) % 0.85/1.06 (define @t227 () (@var "Y2" tptp.a)) % 0.85/1.06 (define @t228 () (lambda (@list @t227 @t226) (= @t227 @t226))) % 0.85/1.06 (define @t229 () (@var "C" (-> Bool tptp.a))) % 0.85/1.06 (define @t230 () (_ tptp.ord_less_eq_o_a @t229)) % 0.85/1.06 (define @t231 () (@var "C" tptp.a)) % 0.85/1.06 (define @t232 () (_ tptp.ord_less_eq_a @t231)) % 0.85/1.06 (define @t233 () (@var "P" (-> tptp.a tptp.a Bool))) % 0.85/1.06 (define @t234 () (@var "B3" tptp.a)) % 0.85/1.06 (define @t235 () (@var "A4" tptp.a)) % 0.85/1.06 (define @t236 () (_ (_ @t233 @t235) @t234)) % 0.85/1.06 (define @t237 () (@list @t235 @t234)) % 0.85/1.06 (define @t238 () (@list @t77)) % 0.85/1.06 (define @t239 () (@var "Z5" (-> Bool tptp.a))) % 0.85/1.06 (define @t240 () (@var "Y" (-> Bool tptp.a))) % 0.85/1.06 (define @t241 () (_ tptp.ord_less_eq_o_a @t240)) % 0.85/1.06 (define @t242 () (_ @t177 @t240)) % 0.85/1.06 (define @t243 () (@var "Z5" tptp.a)) % 0.85/1.06 (define @t244 () (_ @t179 @t243)) % 0.85/1.06 (define @t245 () (_ tptp.ord_less_eq_a @t174)) % 0.85/1.06 (define @t246 () (_ @t245 @t243)) % 0.85/1.06 (define @t247 () (_ @t179 @t174)) % 0.85/1.06 (define @t248 () (@list @t178 @t174 @t243)) % 0.85/1.06 (define @t249 () (@list @t77 @t206)) % 0.85/1.06 (define @t250 () (_ @t202 @t229)) % 0.85/1.06 (define @t251 () (@list @t200 @t199 @t229)) % 0.85/1.06 (define @t252 () (_ @t208 @t231)) % 0.85/1.06 (define @t253 () (@list @t77 @t206 @t231)) % 0.85/1.06 (define @t254 () (_ @t204 @t229)) % 0.85/1.06 (define @t255 () (=> @t254 @t250)) % 0.85/1.06 (define @t256 () (_ @t210 @t231)) % 0.85/1.06 (define @t257 () (=> @t256 @t252)) % 0.85/1.06 (define @t258 () (= @t176 @t240)) % 0.85/1.06 (define @t259 () (_ @t241 @t176)) % 0.85/1.06 (define @t260 () (= @t178 @t174)) % 0.85/1.06 (define @t261 () (_ @t245 @t178)) % 0.85/1.06 (define @t262 () (not @t247)) % 0.85/1.06 (define @t263 () (_ tptp.ord_less_eq_a @t243)) % 0.85/1.06 (define @t264 () (_ @t263 @t178)) % 0.85/1.06 (define @t265 () (_ @t263 @t174)) % 0.85/1.06 (define @t266 () (@list @t178 @t174)) % 0.85/1.06 (define @t267 () (@list @t176 @t240)) % 0.85/1.06 (define @t268 () (@var "X4" (-> Bool tptp.a))) % 0.85/1.06 (define @t269 () (@var "Y3" (-> Bool tptp.a))) % 0.85/1.06 (define @t270 () (@var "Y3" tptp.a)) % 0.85/1.06 (define @t271 () (@var "F" (-> tptp.a Bool tptp.a))) % 0.85/1.06 (define @t272 () (@var "Y4" tptp.a)) % 0.85/1.06 (define @t273 () (@var "X5" tptp.a)) % 0.85/1.06 (define @t274 () (_ tptp.ord_less_eq_a @t273)) % 0.85/1.06 (define @t275 () (_ @t274 @t272)) % 0.85/1.06 (define @t276 () (@list @t273 @t272)) % 0.85/1.06 (define @t277 () (forall @t276 (=> @t275 (_ (_ tptp.ord_less_eq_o_a (_ @t271 @t273)) (_ @t271 @t272))))) % 0.85/1.06 (define @t278 () (=> @t277 (_ (_ tptp.ord_less_eq_o_a (_ @t271 @t77)) @t229))) % 0.85/1.06 (define @t279 () (_ @t271 @t206)) % 0.85/1.06 (define @t280 () (@list @t77 @t206 @t271 @t229)) % 0.85/1.06 (define @t281 () (@var "F" (-> (-> Bool tptp.a) tptp.a))) % 0.85/1.06 (define @t282 () (@var "Y4" (-> Bool tptp.a))) % 0.85/1.06 (define @t283 () (@var "X5" (-> Bool tptp.a))) % 0.85/1.06 (define @t284 () (_ (_ tptp.ord_less_eq_o_a @t283) @t282)) % 0.85/1.06 (define @t285 () (@list @t283 @t282)) % 0.85/1.06 (define @t286 () (forall @t285 (=> @t284 (_ (_ tptp.ord_less_eq_a (_ @t281 @t283)) (_ @t281 @t282))))) % 0.85/1.06 (define @t287 () (=> @t286 (_ (_ tptp.ord_less_eq_a (_ @t281 @t200)) @t231))) % 0.85/1.06 (define @t288 () (_ @t281 @t199)) % 0.85/1.06 (define @t289 () (@list @t200 @t199 @t281 @t231)) % 0.85/1.06 (define @t290 () (@var "F" (-> (-> Bool tptp.a) Bool tptp.a))) % 0.85/1.06 (define @t291 () (forall @t285 (=> @t284 (_ (_ tptp.ord_less_eq_o_a (_ @t290 @t283)) (_ @t290 @t282))))) % 0.85/1.06 (define @t292 () (=> @t291 (_ (_ tptp.ord_less_eq_o_a (_ @t290 @t200)) @t229))) % 0.85/1.06 (define @t293 () (_ @t290 @t199)) % 0.85/1.06 (define @t294 () (@list @t200 @t199 @t290 @t229)) % 0.85/1.06 (define @t295 () (@var "F" (-> tptp.a tptp.a))) % 0.85/1.06 (define @t296 () (forall @t276 (=> @t275 (_ (_ tptp.ord_less_eq_a (_ @t295 @t273)) (_ @t295 @t272))))) % 0.85/1.06 (define @t297 () (=> @t296 (_ (_ tptp.ord_less_eq_a (_ @t295 @t77)) @t231))) % 0.85/1.06 (define @t298 () (_ @t295 @t206)) % 0.85/1.06 (define @t299 () (@list @t77 @t206 @t295 @t231)) % 0.85/1.06 (define @t300 () (=> @t256 (=> @t277 (_ @t202 (_ @t271 @t231))))) % 0.85/1.06 (define @t301 () (@list @t200 @t271 @t206 @t231)) % 0.85/1.06 (define @t302 () (=> @t254 (=> @t286 (_ @t208 (_ @t281 @t229))))) % 0.85/1.06 (define @t303 () (@list @t77 @t281 @t199 @t229)) % 0.85/1.06 (define @t304 () (=> @t254 (=> @t291 (_ @t202 (_ @t290 @t229))))) % 0.85/1.07 (define @t305 () (@list @t200 @t290 @t199 @t229)) % 0.85/1.07 (define @t306 () (=> @t256 (=> @t296 (_ @t208 (_ @t295 @t231))))) % 0.85/1.07 (define @t307 () (@list @t77 @t295 @t206 @t231)) % 0.85/1.07 (define @t308 () (@var "P" (-> (-> Bool tptp.a) Bool))) % 0.85/1.07 (define @t309 () (_ tptp.order_Greatest_o_a @t308)) % 0.85/1.07 (define @t310 () (forall (@list @t282) (=> (_ @t308 @t282) (_ (_ tptp.ord_less_eq_o_a @t282) @t176)))) % 0.85/1.07 (define @t311 () (_ @t308 @t176)) % 0.85/1.07 (define @t312 () (_ tptp.order_Greatest_a @t74)) % 0.85/1.07 (define @t313 () (@list @t272)) % 0.85/1.07 (define @t314 () (forall @t313 (=> (_ @t74 @t272) (_ (_ tptp.ord_less_eq_a @t272) @t178)))) % 0.85/1.07 (define @t315 () (_ @t74 @t178)) % 0.85/1.07 (define @t316 () (@var "Q" (-> (-> Bool tptp.a) Bool))) % 0.85/1.07 (define @t317 () (@var "Y5" (-> Bool tptp.a))) % 0.85/1.07 (define @t318 () (@var "Q" (-> tptp.a Bool))) % 0.85/1.07 (define @t319 () (_ @t318 @t273)) % 0.85/1.07 (define @t320 () (@var "Y5" tptp.a)) % 0.85/1.07 (define @t321 () (_ @t74 @t273)) % 0.85/1.07 (define @t322 () (@list @t273)) % 0.85/1.07 (define @t323 () (@var "Y6" (-> Bool tptp.a))) % 0.85/1.07 (define @t324 () (@var "X6" (-> Bool tptp.a))) % 0.85/1.07 (define @t325 () (_ tptp.member_a @t231)) % 0.85/1.07 (define @t326 () (= @t192 tptp.bot_bot_set_a)) % 0.85/1.07 (define @t327 () (@var "B4" tptp.set_a)) % 0.85/1.07 (define @t328 () (_ tptp.ord_less_eq_set_a @t192)) % 0.85/1.07 (define @t329 () (_ @t328 @t327)) % 0.85/1.07 (define @t330 () (_ tptp.member_a @t273)) % 0.85/1.07 (define @t331 () (_ @t330 @t192)) % 0.85/1.07 (define @t332 () (_ tptp.member_a @t178)) % 0.85/1.07 (define @t333 () (_ @t332 @t327)) % 0.85/1.07 (define @t334 () (_ @t332 @t192)) % 0.85/1.07 (define @t335 () (_ @t325 @t327)) % 0.85/1.07 (define @t336 () (_ @t325 @t192)) % 0.85/1.07 (define @t337 () (=> @t336 @t335)) % 0.85/1.07 (define @t338 () (@var "B5" tptp.set_a)) % 0.85/1.07 (define @t339 () (@var "T2" tptp.a)) % 0.85/1.07 (define @t340 () (_ tptp.member_a @t339)) % 0.85/1.07 (define @t341 () (@var "A5" tptp.set_a)) % 0.85/1.07 (define @t342 () (@list @t341 @t338)) % 0.85/1.07 (define @t343 () (not @t326)) % 0.85/1.07 (define @t344 () (_ (_ tptp.member_a @t272) @t192)) % 0.85/1.07 (define @t345 () (_ @t191 @t192)) % 0.85/1.07 (define @t346 () (not @t345)) % 0.85/1.07 (define @t347 () (@var "X7" tptp.a)) % 0.85/1.07 (define @t348 () (@var "R3" tptp.set_a)) % 0.85/1.07 (define @t349 () (_ @t330 @t348)) % 0.85/1.07 (define @t350 () (_ tptp.set_mset_a (_ tptp.multiset_a2 @t142))) % 0.85/1.07 (define @t351 () (not @t335)) % 0.85/1.07 (define @t352 () (_ tptp.minus_minus_set_a @t192)) % 0.85/1.07 (define @t353 () (_ @t352 @t327)) % 0.85/1.07 (define @t354 () (_ @t325 @t353)) % 0.85/1.07 (define @t355 () (@list @t231 @t192 @t327)) % 0.85/1.07 (define @t356 () (@var "M" tptp.multiset_a)) % 0.85/1.07 (define @t357 () (_ tptp.set_mset_a @t356)) % 0.85/1.07 (define @t358 () (@var "P" (-> tptp.multiset_a Bool))) % 0.85/1.07 (define @t359 () (_ @t358 @t356)) % 0.85/1.07 (define @t360 () (@var "M2" tptp.multiset_a)) % 0.85/1.07 (define @t361 () (_ @t358 (_ (_ tptp.add_mset_a @t273) @t360))) % 0.85/1.07 (define @t362 () (@var "Xa" tptp.a)) % 0.85/1.07 (define @t363 () (_ (_ tptp.member_a @t362) (_ tptp.set_mset_a @t360))) % 0.85/1.07 (define @t364 () (@list @t362)) % 0.85/1.07 (define @t365 () (_ @t358 @t360)) % 0.85/1.07 (define @t366 () (@list @t273 @t360)) % 0.85/1.07 (define @t367 () (_ @t358 tptp.zero_zero_multiset_a)) % 0.85/1.07 (define @t368 () (@list @t358 @t356)) % 0.85/1.07 (define @t369 () (_ tptp.insert_a @t77)) % 0.85/1.07 (define @t370 () (_ @t369 tptp.bot_bot_set_a)) % 0.85/1.07 (define @t371 () (_ tptp.set_mset_a (_ (_ tptp.minus_1649712171iset_a @t356) (_ (_ tptp.add_mset_a @t77) tptp.zero_zero_multiset_a)))) % 0.85/1.07 (define @t372 () (_ tptp.insert_a @t206)) % 0.85/1.07 (define @t373 () (_ @t191 (_ @t372 @t192))) % 0.85/1.07 (define @t374 () (@list @t77 @t206 @t192)) % 0.85/1.07 (define @t375 () (_ @t372 @t327)) % 0.85/1.07 (define @t376 () (_ @t191 @t375)) % 0.85/1.07 (define @t377 () (_ @t191 @t327)) % 0.85/1.07 (define @t378 () (@list @t77 @t327 @t206)) % 0.85/1.07 (define @t379 () (_ tptp.insert_a @t178)) % 0.85/1.07 (define @t380 () (_ @t379 @t192)) % 0.85/1.07 (define @t381 () (@list @t178 @t192 @t327)) % 0.85/1.07 (define @t382 () (_ tptp.minus_minus_set_a @t380)) % 0.85/1.07 (define @t383 () (_ @t382 @t327)) % 0.85/1.07 (define @t384 () (=> @t333 (= @t383 @t353))) % 0.85/1.07 (define @t385 () (@list @t178 @t327 @t192)) % 0.85/1.07 (define @t386 () (_ @t379 @t327)) % 0.85/1.07 (define @t387 () (not @t334)) % 0.85/1.07 (define @t388 () (not @t333)) % 0.85/1.07 (define @t389 () (@var "A" tptp.multiset_a)) % 0.85/1.07 (define @t390 () (_ tptp.plus_plus_multiset_a @t389)) % 0.85/1.07 (define @t391 () (@var "C" tptp.multiset_a)) % 0.85/1.07 (define @t392 () (@var "B" tptp.multiset_a)) % 0.85/1.07 (define @t393 () (_ tptp.plus_plus_multiset_a @t392)) % 0.85/1.07 (define @t394 () (_ tptp.ord_le1199012836iset_a (_ @t390 @t391))) % 0.85/1.07 (define @t395 () (_ (_ tptp.ord_le1199012836iset_a @t389) @t392)) % 0.85/1.07 (define @t396 () (@list @t389 @t392 @t391)) % 0.85/1.07 (define @t397 () (_ tptp.plus_plus_multiset_a @t391)) % 0.85/1.07 (define @t398 () (@var "D" tptp.multiset_a)) % 0.85/1.07 (define @t399 () (@var "L" tptp.multiset_a)) % 0.85/1.07 (define @t400 () (@var "J" tptp.multiset_a)) % 0.85/1.07 (define @t401 () (@var "K" tptp.multiset_a)) % 0.85/1.07 (define @t402 () (@var "I" tptp.multiset_a)) % 0.85/1.07 (define @t403 () (_ (_ tptp.ord_le1199012836iset_a (_ (_ tptp.plus_plus_multiset_a @t402) @t401)) (_ (_ tptp.plus_plus_multiset_a @t400) @t399))) % 0.85/1.07 (define @t404 () (_ (_ tptp.ord_le1199012836iset_a @t401) @t399)) % 0.85/1.07 (define @t405 () (_ (_ tptp.ord_le1199012836iset_a @t402) @t400)) % 0.85/1.07 (define @t406 () (@list @t402 @t400 @t401 @t399)) % 0.85/1.07 (define @t407 () (@var "B6" tptp.set_a)) % 0.85/1.07 (define @t408 () (@list @t407)) % 0.85/1.07 (define @t409 () (@list @t77 @t192)) % 0.85/1.07 (define @t410 () (@var "C2" tptp.set_a)) % 0.85/1.07 (define @t411 () (_ tptp.member_a @t206)) % 0.85/1.07 (define @t412 () (not @t207)) % 0.85/1.07 (define @t413 () (= @t192 @t327)) % 0.85/1.07 (define @t414 () (_ @t369 @t192)) % 0.85/1.07 (define @t415 () (@list @t178 @t192)) % 0.85/1.07 (define @t416 () (= @t206 @t77)) % 0.85/1.07 (define @t417 () (_ @t411 @t370)) % 0.85/1.07 (define @t418 () (@var "X8" tptp.set_a)) % 0.85/1.07 (define @t419 () (_ @t328 @t386)) % 0.85/1.07 (define @t420 () (_ @t379 tptp.bot_bot_set_a)) % 0.85/1.07 (define @t421 () (@var "C3" tptp.set_a)) % 0.85/1.07 (define @t422 () (_ tptp.minus_minus_set_a @t327)) % 0.85/1.07 (define @t423 () (_ @t3 @t8)) % 0.85/1.07 (define @t424 () (not @t423)) % 0.85/1.07 (define @t425 () (@var "X4" Bool)) % 0.85/1.07 (define @t426 () (@var "G2" (-> Bool tptp.a))) % 0.85/1.07 (define @t427 () (@var "F2" (-> Bool tptp.a))) % 0.85/1.07 (define @t428 () (lambda (@list @t427 @t426) (forall (@list @t425) (_ (_ tptp.ord_less_eq_a (_ @t427 @t425)) (_ @t426 @t425))))) % 0.85/1.07 (define @t429 () (@var "Y6" (-> Bool Bool tptp.a))) % 0.85/1.07 (define @t430 () (@var "X6" (-> Bool Bool tptp.a))) % 0.85/1.07 (define @t431 () (lambda (@list @t430 @t429) (and (_ (_ tptp.ord_less_eq_o_a (_ @t430 false)) (_ @t429 false)) (_ (_ tptp.ord_less_eq_o_a (_ @t430 true)) (_ @t429 true))))) % 0.85/1.07 (define @t432 () (@var "P2" (-> tptp.a Bool))) % 0.85/1.07 (define @t433 () (@var "X4" tptp.tree_a)) % 0.85/1.07 (define @t434 () (lambda (@list @t432 @t433) (forall (@list @t270) (=> (_ (_ tptp.member_a @t270) (_ tptp.set_Tree_a @t433)) (_ @t432 @t270))))) % 0.85/1.07 (define @t435 () (_ @t194 @t341)) % 0.85/1.07 (define @t436 () (lambda @t342 (forall @t196 (=> @t435 (_ @t194 @t338))))) % 0.85/1.07 (define @t437 () (lambda (@list @t341 @t432) (forall @t196 (=> @t435 (_ @t432 @t193))))) % 0.85/1.07 (define @t438 () (lambda @t196 (_ @t194 tptp.bot_bot_set_a))) % 0.85/1.07 (define @t439 () (tptp.in_tree_a @t19 @t18)) % 0.85/1.07 (define @t440 () (tptp.in_tree_a @t19 @t22)) % 0.85/1.07 (define @t441 () (tptp.t_a @t24 @t22 @t18)) % 0.85/1.07 (define @t442 () (tptp.in_tree_a @t19 @t441)) % 0.85/1.07 (define @t443 () (tptp.t_a tptp.v1 tptp.l1 tptp.r1)) % 0.85/1.07 (define @t444 () (tptp.heapIm1257206334ight_a @t443)) % 0.85/1.07 (define @t445 () (tptp.heapIm1140443833left_a @t443)) % 0.85/1.07 (define @t446 () (tptp.ord_less_eq_a tptp.v2 tptp.v1)) % 0.85/1.07 (define @t447 () (tptp.t_a @t19 @t162 @t161)) % 0.85/1.07 (define @t448 () (tptp.val_a @t447)) % 0.85/1.07 (define @t449 () (= @t19 @t164)) % 0.85/1.07 (define @t450 () (@list tptp.v1 tptp.l1 tptp.r1)) % 0.85/1.07 (define @t451 () (tptp.val_a @t443)) % 0.85/1.07 (define @t452 () (tptp.t_a tptp.v2 tptp.l2 tptp.r2)) % 0.85/1.07 (define @t453 () (tptp.val_a @t452)) % 0.85/1.07 (define @t454 () (tptp.ord_less_eq_a @t453 @t451)) % 0.85/1.07 (define @t455 () (tptp.t_a tptp.v3 @t445 @t444)) % 0.85/1.07 (define @t456 () (tptp.in_tree_a tptp.v @t455)) % 0.85/1.07 (define @t457 () (tptp.heapIm1091024090Down_a @t455)) % 0.85/1.07 (define @t458 () (tptp.in_tree_a tptp.v @t457)) % 0.85/1.07 (define @t459 () (tptp.ord_less_eq_a @t451 tptp.v3)) % 0.85/1.07 (define @t460 () (=> @t458 @t456)) % 0.85/1.07 (define @t461 () (not @t459)) % 0.85/1.07 (define @t462 () (=> @t461 @t460)) % 0.85/1.07 (define @t463 () (@list false)) % 0.85/1.07 (define @t464 () (@var "BOUND_VARIABLE_9288" tptp.tree_a)) % 0.85/1.07 (define @t465 () (@var "BOUND_VARIABLE_9286" tptp.tree_a)) % 0.85/1.07 (define @t466 () (@var "BOUND_VARIABLE_9284" tptp.a)) % 0.85/1.07 (define @t467 () (_ (_ (_ tptp.t_a @t466) @t465) @t464)) % 0.85/1.07 (define @t468 () (_ tptp.heapIm1257206334ight_a @t467)) % 0.85/1.07 (define @t469 () (_ tptp.heapIm1140443833left_a @t467)) % 0.85/1.07 (define @t470 () (@var "BOUND_VARIABLE_9296" tptp.a)) % 0.85/1.07 (define @t471 () (_ tptp.t_a @t470)) % 0.85/1.07 (define @t472 () (_ (_ @t471 @t469) @t468)) % 0.85/1.07 (define @t473 () (_ tptp.heapIm1091024090Down_a @t472)) % 0.85/1.07 (define @t474 () (@var "BOUND_VARIABLE_9294" tptp.tree_a)) % 0.85/1.07 (define @t475 () (@var "BOUND_VARIABLE_9292" tptp.tree_a)) % 0.85/1.07 (define @t476 () (@var "BOUND_VARIABLE_9290" tptp.a)) % 0.85/1.07 (define @t477 () (_ (_ (_ tptp.t_a @t476) @t475) @t474)) % 0.85/1.07 (define @t478 () (_ tptp.val_a @t467)) % 0.85/1.07 (define @t479 () (tptp.t_a @t466 @t465 @t464)) % 0.85/1.07 (define @t480 () (tptp.heapIm1257206334ight_a @t479)) % 0.85/1.07 (define @t481 () (tptp.heapIm1140443833left_a @t479)) % 0.85/1.07 (define @t482 () (tptp.t_a @t470 @t481 @t480)) % 0.85/1.07 (define @t483 () (tptp.heapIm1091024090Down_a @t482)) % 0.85/1.07 (define @t484 () (tptp.t_a @t476 @t475 @t474)) % 0.85/1.07 (define @t485 () (tptp.val_a @t479)) % 0.85/1.07 (define @t486 () (tptp.t_a @t485 @t484 @t483)) % 0.85/1.07 (define @t487 () (_ (_ (_ tptp.t_a @t478) @t477) @t473)) % 0.85/1.07 (define @t488 () (_ (_ @t471 @t477) @t467)) % 0.85/1.07 (define @t489 () (tptp.t_a @t470 @t484 @t479)) % 0.85/1.07 (define @t490 () (tptp.heapIm1091024090Down_a @t489)) % 0.85/1.07 (define @t491 () (_ tptp.heapIm1091024090Down_a @t488)) % 0.85/1.07 (define @t492 () (= @t491 @t487)) % 0.85/1.07 (define @t493 () (tptp.ord_less_eq_a @t485 @t470)) % 0.85/1.07 (define @t494 () (_ tptp.ord_less_eq_a @t485)) % 0.85/1.07 (define @t495 () (_ tptp.ord_less_eq_a @t478)) % 0.85/1.07 (define @t496 () (_ @t495 @t470)) % 0.85/1.07 (define @t497 () (or @t496 @t492)) % 0.85/1.07 (define @t498 () (= @t488 @t491)) % 0.85/1.07 (define @t499 () (not @t496)) % 0.85/1.07 (define @t500 () (or @t499 @t498)) % 0.85/1.07 (define @t501 () (and @t500 @t497)) % 0.85/1.07 (define @t502 () (_ tptp.val_a @t477)) % 0.85/1.07 (define @t503 () (tptp.val_a @t484)) % 0.85/1.07 (define @t504 () (tptp.ord_less_eq_a @t485 @t503)) % 0.85/1.07 (define @t505 () (_ @t495 @t502)) % 0.85/1.07 (define @t506 () (or @t505 @t501)) % 0.85/1.07 (define @t507 () (forall (@list @t466 @t465 @t464 @t476 @t475 @t474 @t470) @t506)) % 0.85/1.07 (define @t508 () (@var "BOUND_VARIABLE_9240" tptp.tree_a)) % 0.85/1.07 (define @t509 () (@var "BOUND_VARIABLE_9238" tptp.tree_a)) % 0.85/1.07 (define @t510 () (@var "BOUND_VARIABLE_9236" tptp.a)) % 0.85/1.07 (define @t511 () (_ (_ (_ tptp.t_a @t510) @t509) @t508)) % 0.85/1.07 (define @t512 () (@var "BOUND_VARIABLE_9246" tptp.tree_a)) % 0.85/1.07 (define @t513 () (@var "BOUND_VARIABLE_9244" tptp.tree_a)) % 0.85/1.07 (define @t514 () (@var "BOUND_VARIABLE_9242" tptp.a)) % 0.85/1.07 (define @t515 () (_ (_ (_ tptp.t_a @t514) @t513) @t512)) % 0.85/1.07 (define @t516 () (_ tptp.heapIm1257206334ight_a @t515)) % 0.85/1.07 (define @t517 () (_ tptp.heapIm1140443833left_a @t515)) % 0.85/1.07 (define @t518 () (@var "BOUND_VARIABLE_9248" tptp.a)) % 0.85/1.07 (define @t519 () (_ tptp.t_a @t518)) % 0.85/1.07 (define @t520 () (_ (_ @t519 @t517) @t516)) % 0.85/1.07 (define @t521 () (_ tptp.heapIm1091024090Down_a @t520)) % 0.85/1.07 (define @t522 () (_ tptp.val_a @t515)) % 0.85/1.07 (define @t523 () (tptp.t_a @t510 @t509 @t508)) % 0.85/1.07 (define @t524 () (tptp.t_a @t514 @t513 @t512)) % 0.85/1.07 (define @t525 () (tptp.heapIm1257206334ight_a @t524)) % 0.85/1.07 (define @t526 () (tptp.heapIm1140443833left_a @t524)) % 0.85/1.07 (define @t527 () (tptp.t_a @t518 @t526 @t525)) % 0.85/1.07 (define @t528 () (tptp.heapIm1091024090Down_a @t527)) % 0.85/1.07 (define @t529 () (tptp.val_a @t524)) % 0.85/1.07 (define @t530 () (tptp.t_a @t529 @t528 @t523)) % 0.85/1.07 (define @t531 () (_ (_ (_ tptp.t_a @t522) @t521) @t511)) % 0.85/1.07 (define @t532 () (_ (_ @t519 @t515) @t511)) % 0.85/1.07 (define @t533 () (tptp.t_a @t518 @t524 @t523)) % 0.85/1.07 (define @t534 () (tptp.heapIm1091024090Down_a @t533)) % 0.85/1.07 (define @t535 () (_ tptp.heapIm1091024090Down_a @t532)) % 0.85/1.07 (define @t536 () (= @t535 @t531)) % 0.85/1.07 (define @t537 () (tptp.ord_less_eq_a @t529 @t518)) % 0.85/1.07 (define @t538 () (_ (_ tptp.ord_less_eq_a @t522) @t518)) % 0.85/1.07 (define @t539 () (or @t538 @t536)) % 0.85/1.07 (define @t540 () (= @t532 @t535)) % 0.85/1.07 (define @t541 () (not @t538)) % 0.85/1.07 (define @t542 () (or @t541 @t540)) % 0.85/1.07 (define @t543 () (and @t542 @t539)) % 0.85/1.07 (define @t544 () (_ tptp.val_a @t511)) % 0.85/1.07 (define @t545 () (tptp.val_a @t523)) % 0.85/1.07 (define @t546 () (tptp.ord_less_eq_a @t545 @t529)) % 0.85/1.07 (define @t547 () (_ (_ tptp.ord_less_eq_a @t544) @t522)) % 0.85/1.07 (define @t548 () (not @t547)) % 0.85/1.07 (define @t549 () (or @t548 @t543)) % 0.85/1.07 (define @t550 () (forall (@list @t510 @t509 @t508 @t514 @t513 @t512 @t518) @t549)) % 0.85/1.07 (define @t551 () (= @t94 @t95)) % 0.85/1.07 (define @t552 () (or @t105 (and (or @t99 @t551) (or @t98 @t96)))) % 0.85/1.07 (define @t553 () (forall @t119 @t552)) % 0.85/1.07 (define @t554 () (@list @t85 @t84 @t83 @t90 @t89 @t88 @t19)) % 0.85/1.07 (define @t555 () (or @t106 (and (or @t113 @t551) (or @t112 @t110)))) % 0.85/1.07 (define @t556 () (forall @t119 @t555)) % 0.85/1.07 (define @t557 () (and @t556 @t553)) % 0.85/1.07 (define @t558 () (and (=> @t98 @t551) @t100)) % 0.85/1.07 (define @t559 () (and (=> @t112 @t551) @t114)) % 0.85/1.07 (define @t560 () (and (=> @t105 @t559) (=> @t106 @t558))) % 0.85/1.07 (define @t561 () (tptp.t_a @t451 @t457 @t452)) % 0.85/1.07 (define @t562 () (tptp.t_a tptp.v3 @t443 @t452)) % 0.85/1.07 (define @t563 () (tptp.heapIm1091024090Down_a @t562)) % 0.85/1.07 (define @t564 () (= @t563 @t561)) % 0.85/1.07 (define @t565 () (or @t459 @t564)) % 0.85/1.07 (define @t566 () (= @t562 @t563)) % 0.85/1.07 (define @t567 () (or @t461 @t566)) % 0.85/1.07 (define @t568 () (and @t567 @t565)) % 0.85/1.07 (define @t569 () (not @t454)) % 0.85/1.07 (define @t570 () (or @t569 @t568)) % 0.85/1.07 (define @t571 () (@list false false)) % 0.85/1.07 (define @t572 () (not @t568)) % 0.85/1.07 (define @t573 () (@list @t568)) % 0.85/1.07 (define @t574 () (tptp.in_tree_a tptp.v @t563)) % 0.85/1.07 (define @t575 () (tptp.in_tree_a tptp.v @t562)) % 0.85/1.07 (define @t576 () (not @t566)) % 0.85/1.07 (define @t577 () (not @t574)) % 0.85/1.07 (define @t578 () (not @t575)) % 0.85/1.07 (define @t579 () (and @t578 @t566 @t574)) % 0.85/1.07 (define @t580 () (@list true false)) % 0.85/1.07 (define @t581 () (not @t462)) % 0.85/1.07 (define @t582 () (tptp.in_tree_a tptp.v @t561)) % 0.85/1.07 (define @t583 () (and @t574 @t564)) % 0.85/1.07 (define @t584 () (tptp.in_tree_a tptp.v @t452)) % 0.85/1.07 (define @t585 () (= tptp.v @t451)) % 0.85/1.07 (define @t586 () (or @t585 @t458 @t584)) % 0.85/1.07 (define @t587 () (= @t582 @t586)) % 0.85/1.07 (define @t588 () (tptp.in_tree_a tptp.v @t443)) % 0.85/1.07 (define @t589 () (or @t2 @t588 @t584)) % 0.85/1.07 (define @t590 () (= @t575 @t589)) % 0.85/1.07 (define @t591 () (not @t589)) % 0.85/1.07 (define @t592 () (@list true)) % 0.85/1.07 (define @t593 () (@list @t589)) % 0.85/1.07 (define @t594 () (tptp.in_tree_a tptp.v @t444)) % 0.85/1.07 (define @t595 () (tptp.in_tree_a tptp.v @t445)) % 0.85/1.07 (define @t596 () (or @t2 @t595 @t594)) % 0.85/1.07 (define @t597 () (= @t456 @t596)) % 0.85/1.07 (define @t598 () (tptp.in_tree_a tptp.v tptp.r1)) % 0.85/1.07 (define @t599 () (tptp.in_tree_a tptp.v tptp.l1)) % 0.85/1.07 (define @t600 () (or @t1 @t599 @t598)) % 0.85/1.07 (define @t601 () (= @t588 @t600)) % 0.85/1.07 (define @t602 () (not @t600)) % 0.85/1.07 (define @t603 () (@list @t600)) % 0.85/1.07 (define @t604 () (tptp.t_a @t19 @t22 @t18)) % 0.85/1.07 (define @t605 () (tptp.heapIm1140443833left_a @t604)) % 0.85/1.07 (define @t606 () (= @t22 @t49)) % 0.85/1.07 (define @t607 () (tptp.heapIm1257206334ight_a @t604)) % 0.85/1.07 (define @t608 () (= @t18 @t52)) % 0.85/1.07 (assume @p1 (not (or @t2 @t1 (= tptp.v tptp.v2)))) % 0.85/1.07 (assume @p2 (_ @t3 (_ tptp.heapIm1091024090Down_a tptp.t))) % 0.85/1.07 (assume @p3 @t4) % 0.85/1.07 (assume @p4 @t10) % 0.85/1.07 (assume @p5 (forall (@list @t16 @t14 @t12 @t15 @t13 @t11) (= (= @t17 (_ (_ (_ tptp.t_a @t15) @t13) @t11)) (and (= @t16 @t15) (= @t14 @t13) (= @t12 @t11))))) % 0.85/1.07 (assume @p6 @t30) % 0.85/1.07 (assume @p7 (=> (not @t35) (=> (not (_ @t33 tptp.v3)) (=> (_ @t3 (_ tptp.heapIm1091024090Down_a @t31)) (_ @t3 @t31))))) % 0.85/1.07 (assume @p8 @t46) % 0.85/1.07 (assume @p9 @t51) % 0.85/1.07 (assume @p10 @t53) % 0.85/1.07 (assume @p11 (forall @t72 (=> @t71 (=> @t70 (=> @t69 (=> @t68 @t65)))))) % 0.85/1.07 (assume @p12 (forall (@list @t74 @t77 @t76 @t73) (= (_ @t75 (_ (_ (_ tptp.t_a @t77) @t76) @t73)) (and @t78 (_ @t75 @t76) (_ @t75 @t73))))) % 0.85/1.07 (assume @p13 (forall @t79 (not (_ @t20 tptp.e_a)))) % 0.85/1.07 (assume @p14 (forall (@list @t81 @t12 @t16 @t14) (=> (_ @t82 (_ tptp.set_Tree_a @t12)) (_ @t82 @t80)))) % 0.85/1.07 (assume @p15 (forall (@list @t74) (_ @t75 tptp.e_a))) % 0.85/1.07 (assume @p16 @t120) % 0.85/1.07 (assume @p17 (forall (@list @t90 @t89 @t88 @t85 @t84 @t83 @t19) (and (=> @t125 (and (=> @t98 @t124) (=> @t99 (= @t123 (_ @t126 @t91))))) (=> (not @t125) (and (=> @t112 @t124) (=> @t113 (= @t123 (_ (_ @t109 @t86) @t108)))))))) % 0.85/1.07 (assume @p18 (forall @t130 (and (=> @t98 (= @t129 @t128)) (=> @t99 (= @t129 (_ (_ @t93 tptp.e_a) @t87)))))) % 0.85/1.07 (assume @p19 (forall @t130 (and (=> @t98 (= @t132 @t131)) (=> @t99 (= @t132 (_ @t126 tptp.e_a)))))) % 0.85/1.07 (assume @p20 (= (_ tptp.heapIm1091024090Down_a tptp.e_a) tptp.e_a)) % 0.85/1.07 (assume @p21 (forall (@list @t64 @t133 @t74 @t134) (=> (= @t64 @t133) (=> (forall @t141 (=> (_ @t140 (_ tptp.set_Tree_a @t133)) (= @t139 @t138))) (= @t136 (_ @t135 @t133)))))) % 0.85/1.07 (assume @p22 (forall (@list @t74 @t64 @t134) (=> @t136 (=> (forall @t141 (=> (_ @t140 (_ tptp.set_Tree_a @t64)) (=> @t139 @t138))) (_ @t135 @t64))))) % 0.85/1.07 (assume @p23 (forall @t145 (=> @t144 (_ (_ tptp.in_tree_a (_ tptp.val_a @t143)) @t142)))) % 0.85/1.07 (assume @p24 (forall (@list @t142 @t19 @t22 @t18) (=> (= @t142 @t48) (exists (@list @t149 @t146 @t148) (and (= @t143 (_ (_ (_ tptp.t_a @t146) @t149) @t148)) (_ @t147 @t146)))))) % 0.85/1.07 (assume @p25 (forall @t72 (=> @t71 (=> @t70 (=> @t68 (=> @t69 @t65)))))) % 0.85/1.07 (assume @p26 (forall (@list @t153) (=> (not (= @t153 tptp.e_a)) (not (forall (@list @t152 @t151 @t150) (not (= @t153 (_ (_ (_ tptp.t_a @t152) @t151) @t150)))))))) % 0.85/1.07 (assume @p27 (forall (@list @t155 @t154) (=> (_ @t155 tptp.e_a) (=> (forall (@list @t158 @t157 @t156) (=> (_ @t155 @t157) (=> (_ @t155 @t156) (_ @t155 (_ (_ (_ tptp.t_a @t158) @t157) @t156))))) (_ @t155 @t154))))) % 0.85/1.07 (assume @p28 (forall @t159 (not (= tptp.e_a @t17)))) % 0.85/1.07 (assume @p29 (forall @t79 (= (_ tptp.heapIm1091024090Down_a @t160) @t160))) % 0.85/1.07 (assume @p30 @t166) % 0.85/1.07 (assume @p31 (forall (@list @t168 @t172) (=> (_ @t169 (_ tptp.set_Tree_a @t172)) (=> (forall (@list @t170 @t167) (not (= @t172 (_ (_ (_ tptp.t_a @t168) @t170) @t167)))) (=> (forall (@list @t171 @t170) (=> (exists (@list @t167) @t173) (not (_ @t169 (_ tptp.set_Tree_a @t170))))) (not (forall (@list @t171 @t170 @t167) (=> @t173 (not (_ @t169 (_ tptp.set_Tree_a @t167))))))))))) % 0.85/1.07 (assume @p32 (forall @t159 (_ (_ tptp.member_a @t16) @t80))) % 0.85/1.07 (assume @p33 (forall (@list @t174 @t14 @t16 @t12) (=> (_ @t175 (_ tptp.set_Tree_a @t14)) (_ @t175 @t80)))) % 0.85/1.07 (assume @p34 (forall (@list @t176) (_ @t177 @t176))) % 0.85/1.07 (assume @p35 (forall @t180 (_ @t179 @t178))) % 0.85/1.07 (assume @p36 (forall @t183 (= (_ tptp.is_heap_a @t131) @t182))) % 0.85/1.07 (assume @p37 (forall @t183 (= (_ tptp.is_heap_a @t128) @t182))) % 0.85/1.07 (assume @p38 (forall (@list @t19 @t142) (=> (_ @t20 @t142) (=> @t185 (_ @t147 @t184))))) % 0.85/1.07 (assume @p39 (forall (@list @t19 @t90 @t89 @t88 @t85 @t84 @t83) (= (_ tptp.is_heap_a @t94) (and @t98 @t181 @t112 @t186)))) % 0.85/1.07 (assume @p40 (forall (@list @t19 @t85 @t84 @t83 @t90 @t89 @t88) (= (_ tptp.is_heap_a @t122) (and @t112 @t186 @t98 @t181)))) % 0.85/1.07 (assume @p41 (forall (@list @t189 @t188 @t187) (=> @t190 (_ (_ tptp.ord_less_eq_a (_ @t189 @t187)) (_ @t188 @t187))))) % 0.85/1.07 (assume @p42 (forall (@list @t77 @t74) (= (_ @t191 (_ tptp.collect_a @t74)) @t78))) % 0.85/1.07 (assume @p43 (forall @t197 (= (_ tptp.collect_a (lambda @t196 @t195)) @t192))) % 0.85/1.07 (assume @p44 (forall (@list @t189 @t188) (=> (forall (@list @t198) (_ (_ tptp.ord_less_eq_a (_ @t189 @t198)) (_ @t188 @t198))) @t190))) % 0.85/1.07 (assume @p45 (forall (@list @t74 @t134) (=> (_ (_ tptp.ord_less_eq_a_o @t74) @t134) (_ (_ tptp.ord_less_eq_Tree_a_o @t75) @t135)))) % 0.85/1.07 (assume @p46 (_ tptp.is_heap_a tptp.e_a)) % 0.85/1.07 (assume @p47 (forall @t79 (_ tptp.is_heap_a @t160))) % 0.85/1.07 (assume @p48 (forall (@list @t199 @t200) (=> @t205 (=> @t203 @t201)))) % 0.85/1.07 (assume @p49 (forall @t212 (=> @t211 (=> @t209 @t207)))) % 0.85/1.07 (assume @p50 (= @t220 (lambda @t217 (and @t216 @t215)))) % 0.85/1.07 (assume @p51 (= @t228 (lambda @t225 (and @t224 @t223)))) % 0.85/1.07 (assume @p52 (forall (@list @t199 @t200 @t229) (=> @t205 (=> (_ @t230 @t199) (_ @t230 @t200))))) % 0.85/1.07 (assume @p53 (forall (@list @t206 @t77 @t231) (=> @t211 (=> (_ @t232 @t206) (_ @t232 @t77))))) % 0.85/1.07 (assume @p54 (forall (@list @t233 @t77 @t206) (=> (forall @t237 (=> (_ (_ tptp.ord_less_eq_a @t235) @t234) @t236)) (=> (forall @t237 (=> (_ (_ @t233 @t234) @t235) @t236)) (_ (_ @t233 @t77) @t206))))) % 0.85/1.07 (assume @p55 (forall (@list @t200) (_ @t202 @t200))) % 0.85/1.07 (assume @p56 (forall @t238 (_ @t208 @t77))) % 0.85/1.07 (assume @p57 (forall (@list @t176 @t240 @t239) (=> @t242 (=> (_ @t241 @t239) (_ @t177 @t239))))) % 0.85/1.07 (assume @p58 (forall @t248 (=> @t247 (=> @t246 @t244)))) % 0.85/1.07 (assume @p59 (forall (@list @t200 @t199) (=> @t203 (=> @t205 @t201)))) % 0.85/1.07 (assume @p60 (forall @t249 (=> @t209 (=> @t211 @t207)))) % 0.85/1.07 (assume @p61 (forall @t251 (=> @t203 (=> (= @t199 @t229) @t250)))) % 0.85/1.07 (assume @p62 (forall @t253 (=> @t209 (=> (= @t206 @t231) @t252)))) % 0.85/1.07 (assume @p63 (forall @t251 (=> @t201 @t255))) % 0.85/1.07 (assume @p64 (forall @t253 (=> @t207 @t257))) % 0.85/1.07 (assume @p65 (= @t220 (lambda @t217 (and @t215 @t216)))) % 0.85/1.07 (assume @p66 (= @t228 (lambda @t225 (and @t223 @t224)))) % 0.85/1.07 (assume @p67 (forall (@list @t240 @t176) (=> @t259 (= @t242 @t258)))) % 0.85/1.07 (assume @p68 (forall (@list @t174 @t178) (=> @t261 (= @t247 @t260)))) % 0.85/1.07 (assume @p69 (forall @t248 (=> (=> @t247 (not @t246)) (=> (=> @t261 (not @t244)) (=> (=> @t244 (not @t265)) (=> (=> @t265 (not @t261)) (=> (=> @t246 (not @t264)) (not (=> @t264 @t262))))))))) % 0.85/1.07 (assume @p70 (forall @t251 (=> @t203 @t255))) % 0.85/1.07 (assume @p71 (forall @t253 (=> @t209 @t257))) % 0.85/1.07 (assume @p72 (forall @t266 (=> @t262 @t261))) % 0.85/1.07 (assume @p73 (forall @t267 (=> @t258 @t242))) % 0.85/1.07 (assume @p74 (forall @t266 (=> @t260 @t247))) % 0.85/1.07 (assume @p75 (forall @t266 (or @t247 @t261))) % 0.85/1.07 (assume @p76 (forall @t267 (=> @t242 (=> @t259 @t258)))) % 0.85/1.07 (assume @p77 (forall @t266 (=> @t247 (=> @t261 @t260)))) % 0.85/1.07 (assume @p78 (= @t220 (lambda (@list @t268 @t269) (and (_ (_ tptp.ord_less_eq_o_a @t268) @t269) (_ (_ tptp.ord_less_eq_o_a @t269) @t268))))) % 0.85/1.07 (assume @p79 (= @t228 (lambda (@list @t193 @t270) (and (_ (_ tptp.ord_less_eq_a @t193) @t270) (_ (_ tptp.ord_less_eq_a @t270) @t193))))) % 0.85/1.07 (assume @p80 (forall @t280 (=> @t209 (=> (= @t279 @t229) @t278)))) % 0.85/1.07 (assume @p81 (forall @t289 (=> @t203 (=> (= @t288 @t231) @t287)))) % 0.85/1.07 (assume @p82 (forall @t294 (=> @t203 (=> (= @t293 @t229) @t292)))) % 0.85/1.07 (assume @p83 (forall @t299 (=> @t209 (=> (= @t298 @t231) @t297)))) % 0.85/1.07 (assume @p84 (forall @t301 (=> (= @t200 @t279) @t300))) % 0.85/1.07 (assume @p85 (forall @t303 (=> (= @t77 @t288) @t302))) % 0.85/1.07 (assume @p86 (forall @t305 (=> (= @t200 @t293) @t304))) % 0.85/1.07 (assume @p87 (forall @t307 (=> (= @t77 @t298) @t306))) % 0.85/1.07 (assume @p88 (forall @t280 (=> @t209 (=> (_ (_ tptp.ord_less_eq_o_a @t279) @t229) @t278)))) % 0.85/1.07 (assume @p89 (forall @t289 (=> @t203 (=> (_ (_ tptp.ord_less_eq_a @t288) @t231) @t287)))) % 0.85/1.07 (assume @p90 (forall @t294 (=> @t203 (=> (_ (_ tptp.ord_less_eq_o_a @t293) @t229) @t292)))) % 0.85/1.07 (assume @p91 (forall @t299 (=> @t209 (=> (_ (_ tptp.ord_less_eq_a @t298) @t231) @t297)))) % 0.85/1.07 (assume @p92 (forall @t303 (=> (_ @t208 @t288) @t302))) % 0.85/1.07 (assume @p93 (forall @t301 (=> (_ @t202 @t279) @t300))) % 0.85/1.07 (assume @p94 (forall @t305 (=> (_ @t202 @t293) @t304))) % 0.85/1.07 (assume @p95 (forall @t307 (=> (_ @t208 @t298) @t306))) % 0.85/1.07 (assume @p96 (forall (@list @t308 @t176) (=> @t311 (=> @t310 (= @t309 @t176))))) % 0.85/1.07 (assume @p97 (forall (@list @t74 @t178) (=> @t315 (=> @t314 (= @t312 @t178))))) % 0.85/1.07 (assume @p98 (forall (@list @t308 @t176 @t316) (=> @t311 (=> @t310 (=> (forall (@list @t283) (=> (_ @t308 @t283) (=> (forall (@list @t317) (=> (_ @t308 @t317) (_ (_ tptp.ord_less_eq_o_a @t317) @t283))) (_ @t316 @t283)))) (_ @t316 @t309)))))) % 0.85/1.07 (assume @p99 (forall (@list @t74 @t178 @t318) (=> @t315 (=> @t314 (=> (forall @t322 (=> @t321 (=> (forall (@list @t320) (=> (_ @t74 @t320) (_ (_ tptp.ord_less_eq_a @t320) @t273))) @t319))) (_ @t318 @t312)))))) % 0.85/1.07 (assume @p100 (= tptp.ord_less_eq_o_a (lambda (@list @t324 @t323) (and (_ (_ tptp.ord_less_eq_a (_ @t324 false)) (_ @t323 false)) (_ (_ tptp.ord_less_eq_a (_ @t324 true)) (_ @t323 true)))))) % 0.85/1.07 (assume @p101 (forall @t249 (or @t207 (not @t209) (not @t211)))) % 0.85/1.07 (assume @p102 (= (_ tptp.set_Tree_a tptp.e_a) tptp.bot_bot_set_a)) % 0.85/1.07 (assume @p103 (forall (@list @t231) (not (_ @t325 tptp.bot_bot_set_a)))) % 0.85/1.07 (assume @p104 (forall @t197 (= (forall @t196 (not @t195)) @t326))) % 0.85/1.07 (assume @p105 (forall (@list @t192 @t327) (=> (forall @t322 (=> @t331 (_ @t330 @t327))) @t329))) % 0.85/1.07 (assume @p106 (forall (@list @t192 @t327 @t178) (=> @t329 (=> @t334 @t333)))) % 0.85/1.07 (assume @p107 (forall (@list @t192 @t327 @t231) (=> @t329 @t337))) % 0.85/1.07 (assume @p108 (= tptp.ord_less_eq_set_a (lambda @t342 (forall (@list @t339) (=> (_ @t340 @t341) (_ @t340 @t338)))))) % 0.85/1.07 (assume @p109 (forall @t197 (= (exists @t196 @t195) @t343))) % 0.85/1.07 (assume @p110 (forall @t197 (=> (forall @t313 (not @t344)) @t326))) % 0.85/1.07 (assume @p111 (forall (@list @t192 @t77) (=> @t326 @t346))) % 0.85/1.07 (assume @p112 (forall @t238 (not (_ @t191 tptp.bot_bot_set_a)))) % 0.85/1.07 (assume @p113 (forall @t197 (=> (forall @t322 (not @t331)) (_ @t328 tptp.bot_bot_set_a)))) % 0.85/1.07 (assume @p114 (forall (@list @t348 @t74 @t318) (=> (forall @t322 (=> @t349 (=> @t321 @t319))) (=> (forall @t322 (=> @t349 @t321)) (forall (@list @t347) (=> (_ (_ tptp.member_a @t347) @t348) (_ @t318 @t347))))))) % 0.85/1.07 (assume @p115 (forall (@list @t77 @t142) (=> (_ @t191 @t350) (=> @t185 (_ @t208 @t184))))) % 0.85/1.07 (assume @p116 (forall @t145 (=> @t144 (=> @t185 (= @t184 (_ tptp.lattic146396397_Max_a @t350)))))) % 0.85/1.07 (assume @p117 (= (_ tptp.multiset_a2 tptp.e_a) tptp.zero_zero_multiset_a)) % 0.85/1.07 (assume @p118 (forall @t197 (=> @t343 (=> (forall @t276 (=> @t331 (=> @t344 (= @t273 @t272)))) (_ tptp.is_singleton_a @t192))))) % 0.85/1.07 (assume @p119 (forall @t355 (= @t354 (and @t336 @t351)))) % 0.85/1.07 (assume @p120 (forall @t355 (=> @t336 (=> @t351 @t354)))) % 0.85/1.07 (assume @p121 (forall @t355 (=> @t354 @t351))) % 0.85/1.07 (assume @p122 (forall @t355 (=> @t354 @t336))) % 0.85/1.07 (assume @p123 (forall @t355 (=> @t354 (not @t337)))) % 0.85/1.07 (assume @p124 (forall (@list @t356) (= (= @t357 tptp.bot_bot_set_a) (= @t356 tptp.zero_zero_multiset_a)))) % 0.85/1.07 (assume @p125 (= (_ tptp.set_mset_a tptp.zero_zero_multiset_a) tptp.bot_bot_set_a)) % 0.85/1.07 (assume @p126 (forall @t368 (=> @t367 (=> (forall @t366 (=> @t365 (=> (forall @t364 (=> @t363 (_ (_ tptp.ord_less_eq_a @t362) @t273))) @t361))) @t359)))) % 0.85/1.07 (assume @p127 (forall @t368 (=> @t367 (=> (forall @t366 (=> @t365 (=> (forall @t364 (=> @t363 (_ @t274 @t362))) @t361))) @t359)))) % 0.85/1.07 (assume @p128 (forall (@list @t77 @t356) (=> (not (_ @t191 @t371)) (= @t371 (_ (_ tptp.minus_minus_set_a @t357) @t370))))) % 0.85/1.07 (assume @p129 (forall @t50 (= (_ tptp.multiset_a2 @t48) (_ (_ tptp.plus_plus_multiset_a (_ (_ tptp.plus_plus_multiset_a (_ tptp.multiset_a2 @t22)) (_ (_ tptp.add_mset_a @t19) tptp.zero_zero_multiset_a))) (_ tptp.multiset_a2 @t18))))) % 0.85/1.07 (assume @p130 (forall @t374 (= @t373 (or @t207 @t345)))) % 0.85/1.07 (assume @p131 (forall @t378 (=> (=> (not @t377) @t207) @t376))) % 0.85/1.07 (assume @p132 (forall @t238 (_ @t191 @t370))) % 0.85/1.07 (assume @p133 (forall @t381 (= (_ (_ tptp.ord_less_eq_set_a @t380) @t327) (and @t333 @t329)))) % 0.85/1.07 (assume @p134 (forall @t385 @t384)) % 0.85/1.07 (assume @p135 (forall @t381 (=> @t387 (= (_ @t352 @t386) @t353)))) % 0.85/1.07 (assume @p136 (forall @t385 (and @t384 (=> @t388 (= @t383 (_ @t379 @t353)))))) % 0.85/1.07 (assume @p137 (forall (@list @t389) (= (_ @t390 tptp.zero_zero_multiset_a) @t389))) % 0.85/1.07 (assume @p138 (forall @t396 (=> @t395 (_ @t394 (_ @t393 @t391))))) % 0.85/1.07 (assume @p139 (forall @t396 (=> @t395 (_ (_ tptp.ord_le1199012836iset_a (_ @t397 @t389)) (_ @t397 @t392))))) % 0.85/1.07 (assume @p140 (forall (@list @t389 @t392 @t391 @t398) (=> @t395 (=> (_ (_ tptp.ord_le1199012836iset_a @t391) @t398) (_ @t394 (_ @t393 @t398)))))) % 0.85/1.07 (assume @p141 (forall @t406 (=> (and @t405 @t404) @t403))) % 0.85/1.07 (assume @p142 (forall @t406 (=> (and (= @t402 @t400) @t404) @t403))) % 0.85/1.07 (assume @p143 (forall @t406 (=> (and @t405 (= @t401 @t399)) @t403))) % 0.85/1.07 (assume @p144 (forall @t409 (=> @t345 (exists @t408 (and (= @t192 (_ @t369 @t407)) (not (_ @t191 @t407))))))) % 0.85/1.07 (assume @p145 (forall (@list @t77 @t192 @t206 @t327) (=> @t346 (=> (not (_ @t411 @t327)) (= (= @t414 @t375) (and (=> @t207 @t413) (=> @t412 (exists (@list @t410) (and (= @t192 (_ @t372 @t410)) (not (_ @t411 @t410)) (= @t327 (_ @t369 @t410)) (not (_ @t191 @t410))))))))))) % 0.85/1.07 (assume @p146 (forall @t409 (=> @t345 (= @t414 @t192)))) % 0.85/1.07 (assume @p147 (forall @t381 (=> @t387 (=> @t388 (= (= @t380 @t386) @t413))))) % 0.85/1.07 (assume @p148 (forall @t415 (=> @t334 (not (forall @t408 (=> (= @t192 (_ @t379 @t407)) (_ @t332 @t407))))))) % 0.85/1.07 (assume @p149 (forall @t378 (=> @t377 @t376))) % 0.85/1.07 (assume @p150 (forall (@list @t77 @t327) (_ @t191 (_ @t369 @t327)))) % 0.85/1.07 (assume @p151 (forall @t374 (=> @t373 (=> @t412 @t345)))) % 0.85/1.07 (assume @p152 (forall @t212 (=> @t417 @t416))) % 0.85/1.07 (assume @p153 (forall @t212 (= @t417 @t416))) % 0.85/1.07 (assume @p154 (forall (@list @t178 @t192 @t418) (=> @t334 (=> (_ (_ tptp.ord_less_eq_set_a @t418) @t192) (_ (_ tptp.ord_less_eq_set_a (_ @t379 @t418)) @t192))))) % 0.85/1.07 (assume @p155 (forall @t381 (=> @t387 (= @t419 @t329)))) % 0.85/1.07 (assume @p156 (forall @t415 (=> @t387 (= (_ @t382 @t420) @t192)))) % 0.85/1.07 (assume @p157 (forall @t409 (=> @t345 (= (_ @t369 (_ @t352 @t370)) @t192)))) % 0.85/1.07 (assume @p158 (forall (@list @t192 @t327 @t178 @t421) (= (_ @t328 (_ @t422 (_ @t379 @t421))) (and (_ @t328 (_ @t422 @t421)) @t387)))) % 0.85/1.07 (assume @p159 (forall (@list @t192 @t178 @t327) (= @t419 (and (=> @t334 (_ (_ tptp.ord_less_eq_set_a (_ @t352 @t420)) @t327)) (=> @t387 @t329))))) % 0.85/1.07 (assume @p160 (forall (@list @t206) (= (_ tptp.set_mset_a (_ (_ tptp.add_mset_a @t206) tptp.zero_zero_multiset_a)) (_ @t372 tptp.bot_bot_set_a)))) % 0.85/1.07 (assume @p161 (forall @t180 (= (_ tptp.lattic146396397_Max_a @t420) @t178))) % 0.85/1.07 (assume @p162 @t424) % 0.85/1.07 (assume @p163 true) % 0.85/1.07 (step @p164 (= tptp.ord_less_eq_o_a @t428) :rule refl :args (@t428)) % 0.85/1.07 (step @p165 (= tptp.ord_less_eq_o_o_a @t431) :rule refl :args (@t431)) % 0.85/1.07 (step @p166 (= tptp.pred_Tree_a @t434) :rule refl :args (@t434)) % 0.85/1.07 (step @p167 (= tptp.ord_less_eq_set_a @t436) :rule refl :args (@t436)) % 0.85/1.07 (step @p168 (= tptp.ball_a @t437) :rule refl :args (@t437)) % 0.85/1.07 (step @p169 (= tptp.bot_bot_a_o @t438) :rule refl :args (@t438)) % 0.85/1.07 (step @p170 :rule not_or_elim :premises (@p1) :args (0)) % 0.85/1.07 (step @p171 :rule refl :args (@t439)) % 0.85/1.07 (step @p172 :rule refl :args (@t21)) % 0.85/1.07 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t21 @t439))) % 0.85/1.07 (step @p174 :rule symm :premises (@p173)) % 0.85/1.07 (step @p175 :rule eq_resolve :premises (@p172 @p174)) % 0.85/1.07 (step @p176 :rule refl :args (@t440)) % 0.85/1.07 (step @p177 :rule refl :args (@t23)) % 0.85/1.07 (step @p178 :rule cong :premises (@p177 @p176) :args ((= @t23 @t440))) % 0.85/1.07 (step @p179 :rule symm :premises (@p178)) % 0.85/1.07 (step @p180 :rule eq_resolve :premises (@p177 @p179)) % 0.85/1.07 (step @p181 :rule refl :args (@t25)) % 0.85/1.07 (step @p182 :rule nary_cong :premises (@p181 @p180 @p175) :args (@t26)) % 0.85/1.07 (step @p183 :rule refl :args ((tptp.in_tree_a @t19 @t27))) % 0.85/1.07 (step @p184 :rule refl :args (@t441)) % 0.85/1.07 (step @p185 :rule refl :args (@t19)) % 0.85/1.07 (step @p186 :rule cong :premises (@p185 @p184) :args (@t442)) % 0.85/1.07 (step @p187 :rule trans :premises (@p186 @p183)) % 0.85/1.07 (step @p188 :rule refl :args (@t20)) % 0.85/1.07 (step @p189 :rule ho_cong :premises (@p188 @p184)) % 0.85/1.07 (step @p190 :rule cong :premises (@p189 @p187) :args ((= (_ @t20 @t441) 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% 0.85/1.07 (step @p866 :rule chain_m_resolution :premises (@p865 @p847) :args ((not @t588) @t592 @t593)) % 0.85/1.07 (step @p867 :rule cnf_equiv_pos2 :args (@t601)) % 0.85/1.07 (step @p868 :rule reordering :premises (@p867) :args ((or @t588 @t602 (not @t601)))) % 0.85/1.07 (step @p869 :rule chain_m_resolution :premises (@p868 @p866 @p864) :args (@t602 @t580 (@list @t588 @t601))) % 0.85/1.07 (step @p870 :rule cnf_or_neg :args (@t600 1)) % 0.85/1.07 (step @p871 :rule chain_m_resolution :premises (@p870 @p869) :args ((not @t599) @t592 @t603)) % 0.85/1.07 (step @p872 :rule false_intro :premises (@p871)) % 0.85/1.07 (step @p873 :rule refl :args ((tptp.heapIm1140443833left_a @t48))) % 0.85/1.07 (step @p874 :rule refl :args (@t604)) % 0.85/1.07 (step @p875 :rule cong :premises (@p874) :args (@t605)) % 0.85/1.07 (step @p876 :rule trans :premises (@p875 @p873)) % 0.85/1.07 (step @p877 :rule ho_cong :premises (@p281 @p874)) % 0.85/1.07 (step @p878 :rule cong :premises (@p877 @p876) :args ((= (_ tptp.heapIm1140443833left_a @t604) @t605))) % 0.85/1.07 (step @p879 :rule symm :premises (@p878)) % 0.85/1.07 (step @p880 :rule refl :args (@t49)) % 0.85/1.07 (step @p881 :rule eq_resolve :premises (@p880 @p879)) % 0.85/1.07 (step @p882 :rule refl :args (@t48)) % 0.85/1.07 (step @p883 :rule cong :premises (@p882 @p874) :args ((= @t48 @t604))) % 0.85/1.07 (step @p884 :rule symm :premises (@p883)) % 0.85/1.07 (step @p885 :rule eq_resolve :premises (@p882 @p884)) % 0.85/1.07 (step @p886 :rule ho_cong :premises (@p281 @p885)) % 0.85/1.07 (step @p887 :rule trans :premises (@p886 @p881)) % 0.85/1.07 (step @p888 :rule refl :args (@t22)) % 0.85/1.07 (step @p889 :rule cong :premises (@p888 @p887) :args (@t606)) % 0.85/1.07 (step @p890 :rule cong :premises (@p889) :args ((forall @t50 @t606))) % 0.85/1.07 (step @p891 :rule eq-symm :args (@t49 @t22)) % 0.85/1.07 (step @p892 :rule cong :premises (@p891) :args (@t51)) % 0.85/1.07 (step @p893 :rule trans :premises (@p892 @p890)) % 0.85/1.07 (step @p894 :rule eq_resolve :premises (@p9 @p893)) % 0.85/1.07 (step @p895 :rule instantiate :premises (@p894) :args (@t450)) % 0.85/1.07 (step @p896 :rule symm :premises (@p895)) % 0.85/1.07 (step @p897 :rule cong :premises (@p779 @p896) :args (@t595)) % 0.85/1.07 (step @p898 :rule trans :premises (@p897 @p872)) % 0.85/1.07 (step @p899 :rule false_elim :premises (@p898)) % 0.85/1.07 (step @p900 :rule cnf_or_neg :args (@t600 2)) % 0.85/1.07 (step @p901 :rule chain_m_resolution :premises (@p900 @p869) :args ((not @t598) @t592 @t603)) % 0.85/1.07 (step @p902 :rule false_intro :premises (@p901)) % 0.85/1.07 (step @p903 :rule refl :args ((tptp.heapIm1257206334ight_a @t48))) % 0.85/1.07 (step @p904 :rule cong :premises (@p874) :args (@t607)) % 0.85/1.07 (step @p905 :rule trans :premises (@p904 @p903)) % 0.85/1.07 (step @p906 :rule ho_cong :premises (@p268 @p874)) % 0.85/1.07 (step @p907 :rule cong :premises (@p906 @p905) :args ((= (_ tptp.heapIm1257206334ight_a @t604) @t607))) % 0.85/1.07 (step @p908 :rule symm :premises (@p907)) % 0.85/1.07 (step @p909 :rule refl :args (@t52)) % 0.85/1.07 (step @p910 :rule eq_resolve :premises (@p909 @p908)) % 0.85/1.07 (step @p911 :rule ho_cong :premises (@p268 @p885)) % 0.85/1.07 (step @p912 :rule trans :premises (@p911 @p910)) % 0.85/1.07 (step @p913 :rule refl :args (@t18)) % 0.85/1.07 (step @p914 :rule cong :premises (@p913 @p912) :args (@t608)) % 0.85/1.07 (step @p915 :rule cong :premises (@p914) :args ((forall @t50 @t608))) % 0.85/1.07 (step @p916 :rule eq-symm :args (@t52 @t18)) % 0.85/1.07 (step @p917 :rule cong :premises (@p916) :args (@t53)) % 0.85/1.07 (step @p918 :rule trans :premises (@p917 @p915)) % 0.85/1.07 (step @p919 :rule eq_resolve :premises (@p10 @p918)) % 0.85/1.07 (step @p920 :rule instantiate :premises (@p919) :args (@t450)) % 0.85/1.07 (step @p921 :rule symm :premises (@p920)) % 0.85/1.07 (step @p922 :rule cong :premises (@p779 @p921) :args (@t594)) % 0.85/1.07 (step @p923 :rule trans :premises (@p922 @p902)) % 0.85/1.07 (step @p924 :rule false_elim :premises (@p923)) % 0.85/1.07 (step @p925 :rule cnf_or_pos :args (@t596)) % 0.85/1.07 (step @p926 :rule reordering :premises (@p925) :args ((or @t2 @t595 @t594 (not @t596)))) % 0.85/1.07 (step @p927 false :rule chain_m_resolution :premises (@p926 @p924 @p899 @p863 @p170) :args (false (@list true true false true) (@list @t594 @t595 @t596 @t2))) % 0.85/1.07 ) % 0.85/1.07 % SZS output end Proof % 0.85/1.07 % cvc5 exiting %------------------------------------------------------------------------------