%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL955^24 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:15 AM UTC 2026 % Result : Theorem 2.62s 2.98s % Output : Proof 2.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL955^24 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n009.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 09:13:51 UTC 2026 % 0.09/0.36 % CPUTime : % 0.19/0.52 %----Proving TH0 % 2.62/2.98 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.62/2.98 % SZS status Theorem % 2.62/2.98 % SZS output start Proof % 2.62/2.98 ( % 2.62/2.98 (declare-sort $$unsorted 0) % 2.62/2.98 (declare-sort tptp.mworld 0) % 2.62/2.98 (declare-const tptp.mactual tptp.mworld) % 2.62/2.98 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 2.62/2.98 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 2.62/2.98 (declare-const tptp.pv65 $$unsorted) % 2.62/2.98 (declare-const tptp.tptp_float_0_001 $$unsorted) % 2.62/2.98 (declare-const tptp.loopcounter $$unsorted) % 2.62/2.98 (declare-const tptp.def $$unsorted) % 2.62/2.98 (declare-const tptp.use $$unsorted) % 2.62/2.98 (declare-const tptp.true (-> tptp.mworld Bool)) % 2.62/2.98 (declare-const tptp.n5 $$unsorted) % 2.62/2.98 (declare-const tptp.n4 $$unsorted) % 2.62/2.98 (declare-const tptp.n3 $$unsorted) % 2.62/2.98 (declare-const tptp.n1 $$unsorted) % 2.62/2.98 (declare-const tptp.tptp_float_0_0 $$unsorted) % 2.62/2.98 (declare-const tptp.tptp_minus_1 $$unsorted) % 2.62/2.98 (declare-const tptp.n0 $$unsorted) % 2.62/2.98 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.customqmltpeq (-> $$unsorted $$unsorted tptp.mworld Bool)) % 2.62/2.98 (declare-const tptp.n2 $$unsorted) % 2.62/2.98 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 2.62/2.98 (declare-const tptp.geq (-> $$unsorted $$unsorted tptp.mworld Bool)) % 2.62/2.98 (declare-const tptp.gt (-> $$unsorted $$unsorted tptp.mworld Bool)) % 2.62/2.98 (declare-const tptp.leq (-> $$unsorted $$unsorted tptp.mworld Bool)) % 2.62/2.98 (declare-const tptp.lt (-> $$unsorted $$unsorted tptp.mworld Bool)) % 2.62/2.98 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 2.62/2.98 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 2.62/2.98 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.62/2.98 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.62/2.98 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.62/2.98 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.62/2.98 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 2.62/2.98 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 2.62/2.98 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 2.62/2.98 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 2.62/2.98 (define @t1 () (@var "V" tptp.mworld)) % 2.62/2.98 (define @t2 () (@var "W" tptp.mworld)) % 2.62/2.98 (define @t3 () (_ (_ tptp.mrel @t2) @t1)) % 2.62/2.98 (define @t4 () (@list @t2 @t1)) % 2.62/2.98 (define @t5 () (forall @t4 @t3)) % 2.62/2.98 (define @t6 () (@var "X" $$unsorted)) % 2.62/2.98 (define @t7 () (_ tptp.eiw_di @t6)) % 2.62/2.98 (define @t8 () (_ @t7 @t2)) % 2.62/2.98 (define @t9 () (@list @t6)) % 2.62/2.98 (define @t10 () (@list @t2)) % 2.62/2.98 (define @t11 () (@var "__flatten_var_0" tptp.mworld)) % 2.62/2.98 (define @t12 () (_ tptp.customqmltpeq @t6)) % 2.62/2.98 (define @t13 () (@list @t6 @t11)) % 2.62/2.98 (define @t14 () (@var "Y" $$unsorted)) % 2.62/2.98 (define @t15 () (_ tptp.customqmltpeq @t14)) % 2.62/2.98 (define @t16 () (_ tptp.mbox (_ @t12 @t14))) % 2.62/2.98 (define @t17 () (@list @t14 @t11)) % 2.62/2.98 (define @t18 () (@var "Z" $$unsorted)) % 2.62/2.98 (define @t19 () (@list @t18 @t11)) % 2.62/2.98 (define @t20 () (@var "C" $$unsorted)) % 2.62/2.98 (define @t21 () (@var "B" $$unsorted)) % 2.62/2.98 (define @t22 () (@var "A" $$unsorted)) % 2.62/2.98 (define @t23 () (_ tptp.mbox (_ (_ tptp.customqmltpeq @t22) @t21))) % 2.62/2.98 (define @t24 () (_ tptp.mimplies @t23)) % 2.62/2.98 (define @t25 () (@list @t20 @t11)) % 2.62/2.98 (define @t26 () (@list @t21 @t11)) % 2.62/2.98 (define @t27 () (@list @t22 @t11)) % 2.62/2.98 (define @t28 () (_ tptp.a_select2 @t20)) % 2.62/2.98 (define @t29 () (@var "D" $$unsorted)) % 2.62/2.98 (define @t30 () (_ tptp.a_select3 @t21)) % 2.62/2.98 (define @t31 () (_ tptp.a_select3 @t22)) % 2.62/2.98 (define @t32 () (@list @t29 @t11)) % 2.62/2.98 (define @t33 () (_ tptp.a_select3 @t20)) % 2.62/2.98 (define @t34 () (_ @t33 @t29)) % 2.62/2.98 (define @t35 () (_ tptp.dim @t20)) % 2.62/2.98 (define @t36 () (_ tptp.inv @t22)) % 2.62/2.98 (define @t37 () (_ tptp.minus @t20)) % 2.62/2.98 (define @t38 () (_ tptp.plus @t20)) % 2.62/2.98 (define @t39 () (_ tptp.sum @t20)) % 2.62/2.98 (define @t40 () (_ @t39 @t29)) % 2.62/2.98 (define @t41 () (_ tptp.tptp_const_array1 @t20)) % 2.62/2.98 (define @t42 () (_ tptp.tptp_const_array2 @t20)) % 2.62/2.98 (define @t43 () (_ @t42 @t29)) % 2.62/2.98 (define @t44 () (_ tptp.tptp_madd @t22)) % 2.62/2.98 (define @t45 () (_ tptp.tptp_madd @t20)) % 2.62/2.98 (define @t46 () (_ tptp.tptp_mmul @t21)) % 2.62/2.98 (define @t47 () (_ tptp.tptp_mmul @t22)) % 2.62/2.98 (define @t48 () (_ tptp.tptp_mmul @t20)) % 2.62/2.98 (define @t49 () (_ tptp.tptp_msub @t22)) % 2.62/2.98 (define @t50 () (_ tptp.tptp_msub @t20)) % 2.62/2.98 (define @t51 () (_ tptp.tptp_update2 @t20)) % 2.62/2.98 (define @t52 () (_ @t51 @t29)) % 2.62/2.98 (define @t53 () (@var "E" $$unsorted)) % 2.62/2.98 (define @t54 () (_ tptp.tptp_update3 @t22)) % 2.62/2.98 (define @t55 () (@list @t53 @t11)) % 2.62/2.98 (define @t56 () (_ tptp.tptp_update3 @t20)) % 2.62/2.98 (define @t57 () (_ @t56 @t29)) % 2.62/2.98 (define @t58 () (_ @t57 @t53)) % 2.62/2.98 (define @t59 () (_ tptp.trans @t21)) % 2.62/2.98 (define @t60 () (_ tptp.trans @t22)) % 2.62/2.98 (define @t61 () (_ tptp.uniform_int_rnd @t20)) % 2.62/2.98 (define @t62 () (_ tptp.mand @t23)) % 2.62/2.98 (define @t63 () (_ tptp.geq @t20)) % 2.62/2.98 (define @t64 () (_ tptp.gt @t20)) % 2.62/2.98 (define @t65 () (_ tptp.leq @t20)) % 2.62/2.98 (define @t66 () (_ tptp.lt @t20)) % 2.62/2.98 (define @t67 () (_ tptp.gt @t14)) % 2.62/2.98 (define @t68 () (_ tptp.mbox (_ @t67 @t6))) % 2.62/2.98 (define @t69 () (_ tptp.gt @t6)) % 2.62/2.98 (define @t70 () (_ tptp.mbox (_ @t69 @t14))) % 2.62/2.98 (define @t71 () (_ tptp.leq @t6)) % 2.62/2.98 (define @t72 () (_ tptp.leq @t14)) % 2.62/2.98 (define @t73 () (_ tptp.mbox (_ @t71 @t14))) % 2.62/2.98 (define @t74 () (_ tptp.mand @t73)) % 2.62/2.98 (define @t75 () (_ tptp.mbox (_ (_ tptp.lt @t6) @t14))) % 2.62/2.98 (define @t76 () (_ tptp.mimplies @t68)) % 2.62/2.98 (define @t77 () (_ tptp.mbox (_ (_ tptp.geq @t6) @t14))) % 2.62/2.98 (define @t78 () (_ tptp.mbox (_ @t72 @t6))) % 2.62/2.98 (define @t79 () (_ tptp.mbox (_ @t71 (_ tptp.pred @t14)))) % 2.62/2.98 (define @t80 () (_ tptp.succ @t6)) % 2.62/2.98 (define @t81 () (_ tptp.succ @t14)) % 2.62/2.98 (define @t82 () (_ tptp.mimplies @t73)) % 2.62/2.98 (define @t83 () (_ tptp.mbox (_ (_ tptp.gt @t81) @t6))) % 2.62/2.98 (define @t84 () (_ @t61 @t6)) % 2.62/2.98 (define @t85 () (_ tptp.leq tptp.n0)) % 2.62/2.98 (define @t86 () (_ tptp.mbox (_ @t85 @t6))) % 2.62/2.98 (define @t87 () (_ tptp.mimplies @t86)) % 2.62/2.98 (define @t88 () (@var "Val" $$unsorted)) % 2.62/2.98 (define @t89 () (@var "I" $$unsorted)) % 2.62/2.98 (define @t90 () (@var "U" $$unsorted)) % 2.62/2.98 (define @t91 () (@var "L" $$unsorted)) % 2.62/2.98 (define @t92 () (_ tptp.leq @t89)) % 2.62/2.98 (define @t93 () (_ tptp.mbox (_ @t92 @t90))) % 2.62/2.98 (define @t94 () (@list @t88 @t11)) % 2.62/2.98 (define @t95 () (@list @t90 @t11)) % 2.62/2.98 (define @t96 () (@list @t89 @t11)) % 2.62/2.98 (define @t97 () (@var "J" $$unsorted)) % 2.62/2.98 (define @t98 () (@var "U2" $$unsorted)) % 2.62/2.98 (define @t99 () (@var "L2" $$unsorted)) % 2.62/2.98 (define @t100 () (@var "U1" $$unsorted)) % 2.62/2.98 (define @t101 () (@var "L1" $$unsorted)) % 2.62/2.98 (define @t102 () (_ tptp.leq @t97)) % 2.62/2.98 (define @t103 () (@list @t97 @t11)) % 2.62/2.98 (define @t104 () (_ tptp.a_select3 @t60)) % 2.62/2.98 (define @t105 () (@var "N" $$unsorted)) % 2.62/2.98 (define @t106 () (_ tptp.mbox (_ @t102 @t105))) % 2.62/2.98 (define @t107 () (_ tptp.mand (_ tptp.mbox (_ @t85 @t97)))) % 2.62/2.98 (define @t108 () (_ tptp.mand (_ tptp.mbox (_ @t92 @t105)))) % 2.62/2.98 (define @t109 () (_ tptp.mand (_ tptp.mbox (_ @t85 @t89)))) % 2.62/2.98 (define @t110 () (_ tptp.mimplies (_ @t109 (_ @t108 (_ @t107 @t106))))) % 2.62/2.98 (define @t111 () (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t110 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t31 @t89) @t97)) (_ (_ @t31 @t97) @t89))))) @t11)))) @t11))))) % 2.62/2.98 (define @t112 () (_ tptp.mimplies @t111)) % 2.62/2.98 (define @t113 () (@list @t105 @t11)) % 2.62/2.98 (define @t114 () (_ tptp.a_select3 @t36)) % 2.62/2.98 (define @t115 () (@var "VAL" $$unsorted)) % 2.62/2.98 (define @t116 () (@var "K" $$unsorted)) % 2.62/2.98 (define @t117 () (_ tptp.a_select3 (_ (_ (_ @t54 @t116) @t116) @t115))) % 2.62/2.98 (define @t118 () (@list @t115 @t11)) % 2.62/2.98 (define @t119 () (_ tptp.a_select3 (_ @t44 @t21))) % 2.62/2.98 (define @t120 () (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t30 @t89) @t97)) (_ (_ @t30 @t97) @t89)))) % 2.62/2.98 (define @t121 () (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t110 @t120)) @t11)))) @t11))))) % 2.62/2.98 (define @t122 () (_ tptp.mand @t111)) % 2.62/2.99 (define @t123 () (_ tptp.mimplies (_ @t122 @t121))) % 2.62/2.99 (define @t124 () (_ tptp.a_select3 (_ @t49 @t21))) % 2.62/2.99 (define @t125 () (_ tptp.a_select3 (_ @t47 (_ @t46 @t60)))) % 2.62/2.99 (define @t126 () (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t110 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t125 @t89) @t97)) (_ (_ @t125 @t97) @t89))))) @t11)))) @t11))))) % 2.62/2.99 (define @t127 () (@var "M" $$unsorted)) % 2.62/2.99 (define @t128 () (_ tptp.mimplies (_ @t109 (_ (_ tptp.mand (_ tptp.mbox (_ @t92 @t127))) (_ @t107 (_ tptp.mbox (_ @t102 @t127))))))) % 2.62/2.99 (define @t129 () (@list @t127 @t11)) % 2.62/2.99 (define @t130 () (@var "F" $$unsorted)) % 2.62/2.99 (define @t131 () (_ tptp.a_select3 (_ @t44 (_ @t46 (_ (_ tptp.tptp_mmul (_ (_ tptp.tptp_madd (_ @t48 (_ (_ tptp.tptp_mmul @t29) (_ tptp.trans @t20)))) (_ (_ tptp.tptp_mmul @t53) (_ (_ tptp.tptp_mmul @t130) (_ tptp.trans @t53))))) @t59))))) % 2.62/2.99 (define @t132 () (_ tptp.a_select3 @t130)) % 2.62/2.99 (define @t133 () (_ tptp.a_select3 @t29)) % 2.62/2.99 (define @t134 () (@var "Body" $$unsorted)) % 2.62/2.99 (define @t135 () (_ (_ (_ tptp.sum tptp.n0) tptp.tptp_minus_1) @t134)) % 2.62/2.99 (define @t136 () (@list @t134 @t11)) % 2.62/2.99 (define @t137 () (_ tptp.plus @t6)) % 2.62/2.99 (define @t138 () (_ tptp.plus tptp.n1)) % 2.62/2.99 (define @t139 () (_ tptp.succ @t80)) % 2.62/2.99 (define @t140 () (_ tptp.succ @t139)) % 2.62/2.99 (define @t141 () (_ tptp.succ @t140)) % 2.62/2.99 (define @t142 () (_ tptp.succ @t141)) % 2.62/2.99 (define @t143 () (_ tptp.pred @t6)) % 2.62/2.99 (define @t144 () (_ tptp.minus @t6)) % 2.62/2.99 (define @t145 () (_ tptp.leq @t80)) % 2.62/2.99 (define @t146 () (_ tptp.mbox (_ @t145 @t81))) % 2.62/2.99 (define @t147 () (@var "V" $$unsorted)) % 2.62/2.99 (define @t148 () (_ tptp.tptp_update3 @t6)) % 2.62/2.99 (define @t149 () (_ tptp.a_select3 (_ (_ (_ @t148 @t90) @t147) @t115))) % 2.62/2.99 (define @t150 () (@list @t147 @t11)) % 2.62/2.99 (define @t151 () (@var "VAL2" $$unsorted)) % 2.62/2.99 (define @t152 () (_ tptp.a_select3 @t6)) % 2.62/2.99 (define @t153 () (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ (_ tptp.customqmltpeq @t89) @t90)))))) % 2.62/2.99 (define @t154 () (@list @t151 @t11)) % 2.62/2.99 (define @t155 () (@var "J0" $$unsorted)) % 2.62/2.99 (define @t156 () (@var "I0" $$unsorted)) % 2.62/2.99 (define @t157 () (_ tptp.mbox (_ (_ tptp.leq @t156) @t90))) % 2.62/2.99 (define @t158 () (_ tptp.mand (_ tptp.mbox (_ @t85 @t156)))) % 2.62/2.99 (define @t159 () (@list @t156 @t11)) % 2.62/2.99 (define @t160 () (_ tptp.tptp_update2 @t6)) % 2.62/2.99 (define @t161 () (_ tptp.a_select2 (_ (_ @t160 @t90) @t115))) % 2.62/2.99 (define @t162 () (_ tptp.a_select2 @t6)) % 2.62/2.99 (define @t163 () (_ tptp.mbox tptp.true)) % 2.62/2.99 (define @t164 () (_ @t138 tptp.loopcounter)) % 2.62/2.99 (define @t165 () (_ (_ tptp.gt @t164) tptp.n1)) % 2.62/2.99 (define @t166 () (_ tptp.mbox @t165)) % 2.62/2.99 (define @t167 () (_ (_ tptp.geq tptp.pv65) tptp.tptp_float_0_001)) % 2.62/2.99 (define @t168 () (not (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox @t167)) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ tptp.mnot @t166))) @t163))) (_ tptp.mbox (_ (_ tptp.mimplies @t166) @t163)))))))) % 2.62/2.99 (define @t169 () (_ tptp.gt tptp.n5)) % 2.62/2.99 (define @t170 () (_ tptp.gt tptp.n4)) % 2.62/2.99 (define @t171 () (_ tptp.gt tptp.n1)) % 2.62/2.99 (define @t172 () (_ tptp.gt tptp.n2)) % 2.62/2.99 (define @t173 () (_ tptp.gt tptp.n3)) % 2.62/2.99 (define @t174 () (_ tptp.mbox (_ @t12 tptp.n4))) % 2.62/2.99 (define @t175 () (_ tptp.mbox (_ @t12 tptp.n3))) % 2.62/2.99 (define @t176 () (_ tptp.mor @t175)) % 2.62/2.99 (define @t177 () (_ tptp.mbox (_ @t12 tptp.n2))) % 2.62/2.99 (define @t178 () (_ tptp.mor @t177)) % 2.62/2.99 (define @t179 () (_ tptp.mbox (_ @t12 tptp.n1))) % 2.62/2.99 (define @t180 () (_ tptp.mor @t179)) % 2.62/2.99 (define @t181 () (_ tptp.mbox (_ @t12 tptp.n0))) % 2.62/2.99 (define @t182 () (_ tptp.mor @t181)) % 2.62/2.99 (define @t183 () (_ tptp.mand @t86)) % 2.62/2.99 (define @t184 () (_ tptp.succ tptp.n0)) % 2.62/2.99 (define @t185 () (_ tptp.succ @t184)) % 2.62/2.99 (define @t186 () (_ tptp.succ @t185)) % 2.62/2.99 (define @t187 () (_ tptp.succ @t186)) % 2.62/2.99 (define @t188 () (@var "Phi" (-> tptp.mworld Bool))) % 2.62/2.99 (define @t189 () (lambda (@list @t188) (_ @t188 tptp.mactual))) % 2.62/2.99 (define @t190 () (@var "A" (-> tptp.mworld Bool))) % 2.62/2.99 (define @t191 () (_ @t190 @t2)) % 2.62/2.99 (define @t192 () (lambda (@list @t190 @t2) (not @t191))) % 2.62/2.99 (define @t193 () (@var "B" (-> tptp.mworld Bool))) % 2.62/2.99 (define @t194 () (_ @t193 @t2)) % 2.62/2.99 (define @t195 () (@list @t190 @t193 @t2)) % 2.62/2.99 (define @t196 () (lambda @t195 (and @t191 @t194))) % 2.62/2.99 (define @t197 () (lambda @t195 (or @t191 @t194))) % 2.62/2.99 (define @t198 () (lambda @t195 (=> @t191 @t194))) % 2.62/2.99 (define @t199 () (lambda @t195 (= @t191 @t194))) % 2.62/2.99 (define @t200 () (_ @t188 @t1)) % 2.62/2.99 (define @t201 () (@list @t1)) % 2.62/2.99 (define @t202 () (forall @t201 (=> @t3 @t200))) % 2.62/2.99 (define @t203 () (@list @t188 @t2)) % 2.62/2.99 (define @t204 () (lambda @t203 @t202)) % 2.62/2.99 (define @t205 () (lambda @t203 (exists @t201 (and @t3 @t200)))) % 2.62/2.99 (define @t206 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 2.62/2.99 (define @t207 () (_ (_ @t206 @t6) @t2)) % 2.62/2.99 (define @t208 () (@list @t206 @t2)) % 2.62/2.99 (define @t209 () (lambda @t208 (forall @t9 (=> @t8 @t207)))) % 2.62/2.99 (define @t210 () (lambda @t208 (exists @t9 (and @t8 @t207)))) % 2.62/2.99 (define @t211 () (tptp.mrel @t2 @t1)) % 2.62/2.99 (define @t212 () (tptp.true @t1)) % 2.62/2.99 (define @t213 () (not (tptp.mrel tptp.mactual @t1))) % 2.62/2.99 (define @t214 () (not @t211)) % 2.62/2.99 (define @t215 () (forall @t201 (or @t214 @t212))) % 2.62/2.99 (define @t216 () (lambda @t10 @t215)) % 2.62/2.99 (define @t217 () (_ @t216 tptp.mactual)) % 2.62/2.99 (define @t218 () (_ @t188 @t1)) % 2.62/2.99 (define @t219 () (lambda @t203 (forall @t201 (or @t214 @t218)))) % 2.62/2.99 (define @t220 () (_ @t219 tptp.true)) % 2.62/2.99 (define @t221 () (not @t3)) % 2.62/2.99 (define @t222 () (or @t221 @t200)) % 2.62/2.99 (define @t223 () (@var "BOUND_VARIABLE_59638" tptp.mworld)) % 2.62/2.99 (define @t224 () (@var "BOUND_VARIABLE_59636" tptp.mworld)) % 2.62/2.99 (define @t225 () (@var "BOUND_VARIABLE_59505" tptp.mworld)) % 2.62/2.99 (define @t226 () (tptp.plus tptp.n1 tptp.loopcounter)) % 2.62/2.99 (define @t227 () (tptp.gt @t226 tptp.n1 @t225)) % 2.62/2.99 (define @t228 () (@list @t225)) % 2.62/2.99 (define @t229 () (or (not (tptp.mrel @t1 @t224)) (not (forall @t228 (or (not (tptp.mrel @t224 @t225)) @t227))) (not (tptp.mrel @t224 @t223)) (tptp.true @t223))) % 2.62/2.99 (define @t230 () (@var "BOUND_VARIABLE_59623" tptp.mworld)) % 2.62/2.99 (define @t231 () (@var "BOUND_VARIABLE_59621" tptp.mworld)) % 2.62/2.99 (define @t232 () (@var "BOUND_VARIABLE_59387" tptp.mworld)) % 2.62/2.99 (define @t233 () (tptp.gt @t226 tptp.n1 @t232)) % 2.62/2.99 (define @t234 () (@var "BOUND_VARIABLE_59432" tptp.mworld)) % 2.62/2.99 (define @t235 () (@list @t232)) % 2.62/2.99 (define @t236 () (not (forall @t235 (or (not (tptp.mrel @t234 @t232)) @t233)))) % 2.62/2.99 (define @t237 () (@list @t234)) % 2.62/2.99 (define @t238 () (or (not (tptp.mrel @t1 @t231)) (not (forall @t237 (or (not (tptp.mrel @t231 @t234)) @t236))) (not (tptp.mrel @t231 @t230)) (tptp.true @t230))) % 2.62/2.99 (define @t239 () (and @t238 @t229)) % 2.62/2.99 (define @t240 () (@var "BOUND_VARIABLE_59590" tptp.mworld)) % 2.62/2.99 (define @t241 () (tptp.geq tptp.pv65 tptp.tptp_float_0_001 @t240)) % 2.62/2.99 (define @t242 () (@list @t240)) % 2.62/2.99 (define @t243 () (forall @t242 (or (not (tptp.mrel @t1 @t240)) @t241))) % 2.62/2.99 (define @t244 () (not @t243)) % 2.62/2.99 (define @t245 () (@list @t1 @t231 @t230 @t224 @t223)) % 2.62/2.99 (define @t246 () (forall @t245 (or @t213 @t244 @t239))) % 2.62/2.99 (define @t247 () (@quantifiers_skolemize @t246 4)) % 2.62/2.99 (define @t248 () (@quantifiers_skolemize @t246 2)) % 2.62/2.99 (define @t249 () (tptp.true @t248)) % 2.62/2.99 (define @t250 () (tptp.mrel tptp.mactual @t248)) % 2.62/2.99 (define @t251 () (not @t250)) % 2.62/2.99 (define @t252 () (or @t251 @t249)) % 2.62/2.99 (define @t253 () (@quantifiers_skolemize @t246 1)) % 2.62/2.99 (define @t254 () (@quantifiers_skolemize @t246 0)) % 2.62/2.99 (define @t255 () (or (not (tptp.mrel @t254 @t253)) (not (forall @t237 (or (not (tptp.mrel @t253 @t234)) @t236))) (not (tptp.mrel @t253 @t248)) @t249)) % 2.62/2.99 (define @t256 () (or @t214 @t244 @t239)) % 2.62/2.99 (define @t257 () (forall @t245 @t256)) % 2.62/2.99 (define @t258 () (lambda @t10 @t257)) % 2.62/2.99 (define @t259 () (_ @t258 tptp.mactual)) % 2.62/2.99 (define @t260 () (@list @t231 @t230 @t224 @t223)) % 2.62/2.99 (define @t261 () (forall @t260 @t256)) % 2.62/2.99 (define @t262 () (forall (@list @t224 @t223) @t229)) % 2.62/2.99 (define @t263 () (@var "BOUND_VARIABLE_59531" tptp.mworld)) % 2.62/2.99 (define @t264 () (@var "BOUND_VARIABLE_59561" tptp.mworld)) % 2.62/2.99 (define @t265 () (forall @t260 @t229)) % 2.62/2.99 (define @t266 () (forall (@list @t231 @t230) @t238)) % 2.62/2.99 (define @t267 () (@var "BOUND_VARIABLE_59462" tptp.mworld)) % 2.62/2.99 (define @t268 () (@var "BOUND_VARIABLE_59575" tptp.mworld)) % 2.62/2.99 (define @t269 () (forall @t260 @t238)) % 2.62/2.99 (define @t270 () (and @t269 @t265)) % 2.62/2.99 (define @t271 () (forall @t260 @t239)) % 2.62/2.99 (define @t272 () (or @t214 @t244 @t271)) % 2.62/2.99 (define @t273 () (tptp.true @t263)) % 2.62/2.99 (define @t274 () (not (tptp.mrel @t264 @t263))) % 2.62/2.99 (define @t275 () (not (forall @t228 (or (not (tptp.mrel @t264 @t225)) @t227)))) % 2.62/2.99 (define @t276 () (@list @t264 @t263)) % 2.62/2.99 (define @t277 () (tptp.true @t267)) % 2.62/2.99 (define @t278 () (not (tptp.mrel @t268 @t267))) % 2.62/2.99 (define @t279 () (not (forall @t237 (or (not (tptp.mrel @t268 @t234)) @t236)))) % 2.62/2.99 (define @t280 () (@list @t268 @t267)) % 2.62/2.99 (define @t281 () (and (forall @t280 (or (not (tptp.mrel @t1 @t268)) @t279 @t278 @t277)) (forall @t276 (or (not (tptp.mrel @t1 @t264)) @t275 @t274 @t273)))) % 2.62/2.99 (define @t282 () (or @t214 @t244 @t281)) % 2.62/2.99 (define @t283 () (=> @t243 @t281)) % 2.62/2.99 (define @t284 () (or @t214 @t283)) % 2.62/2.99 (define @t285 () (not (tptp.mrel @t1 @t263))) % 2.62/2.99 (define @t286 () (forall @t228 (or (not (tptp.mrel @t1 @t225)) @t227))) % 2.62/2.99 (define @t287 () (not @t286)) % 2.62/2.99 (define @t288 () (or @t214 @t287 @t285 @t273)) % 2.62/2.99 (define @t289 () (@list @t1 @t263)) % 2.62/2.99 (define @t290 () (forall @t289 @t288)) % 2.62/2.99 (define @t291 () (@list @t1)) % 2.62/2.99 (define @t292 () (not (tptp.mrel @t1 @t267))) % 2.62/2.99 (define @t293 () (forall @t237 (or (not (tptp.mrel @t1 @t234)) @t236))) % 2.62/2.99 (define @t294 () (not @t293)) % 2.62/2.99 (define @t295 () (or @t214 @t294 @t292 @t277)) % 2.62/2.99 (define @t296 () (@list @t1 @t267)) % 2.62/2.99 (define @t297 () (forall @t296 @t295)) % 2.62/2.99 (define @t298 () (and @t297 @t290)) % 2.62/2.99 (define @t299 () (tptp.geq tptp.pv65 tptp.tptp_float_0_001 @t1)) % 2.62/2.99 (define @t300 () (forall @t201 (or @t214 @t299))) % 2.62/2.99 (define @t301 () (=> @t300 @t298)) % 2.62/2.99 (define @t302 () (lambda @t10 @t301)) % 2.62/2.99 (define @t303 () (or @t214 (_ @t302 @t1))) % 2.62/2.99 (define @t304 () (forall @t201 @t303)) % 2.62/2.99 (define @t305 () (lambda @t10 @t304)) % 2.62/2.99 (define @t306 () (lambda @t10 @t298)) % 2.62/2.99 (define @t307 () (_ @t306 @t2)) % 2.62/2.99 (define @t308 () (=> @t300 @t307)) % 2.62/2.99 (define @t309 () (lambda @t10 @t308)) % 2.62/2.99 (define @t310 () (@list @t193 @t2)) % 2.62/2.99 (define @t311 () (lambda @t10 @t290)) % 2.62/2.99 (define @t312 () (_ @t311 @t2)) % 2.62/2.99 (define @t313 () (and @t297 @t312)) % 2.62/2.99 (define @t314 () (lambda @t10 @t313)) % 2.62/2.99 (define @t315 () (or @t285 @t273)) % 2.62/2.99 (define @t316 () (or @t214 @t287 @t315)) % 2.62/2.99 (define @t317 () (forall @t289 @t316)) % 2.62/2.99 (define @t318 () (@list @t263)) % 2.62/2.99 (define @t319 () (forall @t318 @t316)) % 2.62/2.99 (define @t320 () (forall @t318 @t315)) % 2.62/2.99 (define @t321 () (@var "BOUND_VARIABLE_59497" tptp.mworld)) % 2.62/2.99 (define @t322 () (@list @t321)) % 2.62/2.99 (define @t323 () (or @t214 @t287 @t320)) % 2.62/2.99 (define @t324 () (tptp.true @t321)) % 2.62/2.99 (define @t325 () (@list @t321)) % 2.62/2.99 (define @t326 () (forall @t325 (or (not (tptp.mrel @t1 @t321)) @t324))) % 2.62/2.99 (define @t327 () (or @t214 @t287 @t326)) % 2.62/2.99 (define @t328 () (=> @t286 @t326)) % 2.62/2.99 (define @t329 () (or @t214 @t328)) % 2.62/2.99 (define @t330 () (tptp.gt @t226 tptp.n1 @t1)) % 2.62/2.99 (define @t331 () (forall @t201 (or @t214 @t330))) % 2.62/2.99 (define @t332 () (=> @t331 @t215)) % 2.62/2.99 (define @t333 () (lambda @t10 @t332)) % 2.62/2.99 (define @t334 () (or @t214 (_ @t333 @t1))) % 2.62/2.99 (define @t335 () (forall @t201 @t334)) % 2.62/2.99 (define @t336 () (lambda @t10 @t335)) % 2.62/2.99 (define @t337 () (_ @t216 @t2)) % 2.62/2.99 (define @t338 () (=> @t331 @t337)) % 2.62/2.99 (define @t339 () (lambda @t10 @t338)) % 2.62/2.99 (define @t340 () (lambda @t10 @t331)) % 2.62/2.99 (define @t341 () (_ @t340 @t2)) % 2.62/2.99 (define @t342 () (=> @t341 @t194)) % 2.62/2.99 (define @t343 () (lambda @t310 @t342)) % 2.62/2.99 (define @t344 () (_ @t165 @t1)) % 2.62/2.99 (define @t345 () (or @t214 @t344)) % 2.62/2.99 (define @t346 () (_ @t165 @t1)) % 2.62/2.99 (define @t347 () (or @t214 @t346)) % 2.62/2.99 (define @t348 () (forall @t201 @t347)) % 2.62/2.99 (define @t349 () (lambda @t10 @t348)) % 2.62/2.99 (define @t350 () (_ @t219 @t165)) % 2.62/2.99 (define @t351 () (lambda @t10 @t297)) % 2.62/2.99 (define @t352 () (_ @t351 @t2)) % 2.62/2.99 (define @t353 () (and @t352 @t194)) % 2.62/2.99 (define @t354 () (lambda @t310 @t353)) % 2.62/2.99 (define @t355 () (or @t292 @t277)) % 2.62/2.99 (define @t356 () (or @t214 @t294 @t355)) % 2.62/2.99 (define @t357 () (forall @t296 @t356)) % 2.62/2.99 (define @t358 () (@list @t267)) % 2.62/2.99 (define @t359 () (forall @t358 @t356)) % 2.62/2.99 (define @t360 () (forall @t358 @t355)) % 2.62/2.99 (define @t361 () (@var "BOUND_VARIABLE_59424" tptp.mworld)) % 2.62/2.99 (define @t362 () (@list @t361)) % 2.62/2.99 (define @t363 () (or @t214 @t294 @t360)) % 2.62/2.99 (define @t364 () (tptp.true @t361)) % 2.62/2.99 (define @t365 () (@list @t361)) % 2.62/2.99 (define @t366 () (forall @t365 (or (not (tptp.mrel @t1 @t361)) @t364))) % 2.62/2.99 (define @t367 () (or @t214 @t294 @t366)) % 2.62/2.99 (define @t368 () (=> @t293 @t366)) % 2.62/2.99 (define @t369 () (or @t214 @t368)) % 2.62/2.99 (define @t370 () (not (forall @t235 (or (not (tptp.mrel @t1 @t232)) @t233)))) % 2.62/2.99 (define @t371 () (forall @t201 (or @t214 @t370))) % 2.62/2.99 (define @t372 () (=> @t371 @t215)) % 2.62/2.99 (define @t373 () (lambda @t10 @t372)) % 2.62/2.99 (define @t374 () (or @t214 (_ @t373 @t1))) % 2.62/2.99 (define @t375 () (forall @t201 @t374)) % 2.62/2.99 (define @t376 () (lambda @t10 @t375)) % 2.62/2.99 (define @t377 () (=> @t371 @t337)) % 2.62/2.99 (define @t378 () (lambda @t10 @t377)) % 2.62/2.99 (define @t379 () (lambda @t10 @t371)) % 2.62/2.99 (define @t380 () (_ @t379 @t2)) % 2.62/2.99 (define @t381 () (=> @t380 @t194)) % 2.62/2.99 (define @t382 () (lambda @t310 @t381)) % 2.62/2.99 (define @t383 () (not @t331)) % 2.62/2.99 (define @t384 () (lambda @t10 @t383)) % 2.62/2.99 (define @t385 () (or @t214 (_ @t384 @t1))) % 2.62/2.99 (define @t386 () (forall @t201 @t385)) % 2.62/2.99 (define @t387 () (lambda @t10 @t386)) % 2.62/2.99 (define @t388 () (not @t341)) % 2.62/2.99 (define @t389 () (lambda @t10 @t388)) % 2.62/2.99 (define @t390 () (lambda @t10 @t300)) % 2.62/2.99 (define @t391 () (_ @t390 @t2)) % 2.62/2.99 (define @t392 () (=> @t391 @t194)) % 2.62/2.99 (define @t393 () (lambda @t310 @t392)) % 2.62/2.99 (define @t394 () (_ @t167 @t1)) % 2.62/2.99 (define @t395 () (or @t214 @t394)) % 2.62/2.99 (define @t396 () (_ @t167 @t1)) % 2.62/2.99 (define @t397 () (or @t214 @t396)) % 2.62/2.99 (define @t398 () (forall @t201 @t397)) % 2.62/2.99 (define @t399 () (lambda @t10 @t398)) % 2.62/2.99 (define @t400 () (_ @t219 @t167)) % 2.62/2.99 (define @t401 () (tptp.true @t247)) % 2.62/2.99 (define @t402 () (@quantifiers_skolemize @t246 3)) % 2.62/2.99 (define @t403 () (or (not (tptp.mrel @t254 @t402)) (not (forall @t228 (or (not (tptp.mrel @t402 @t225)) @t227))) (not (tptp.mrel @t402 @t247)) @t401)) % 2.62/2.99 (define @t404 () (and @t255 @t403)) % 2.62/2.99 (define @t405 () (or (not (tptp.mrel tptp.mactual @t254)) (not (forall @t242 (or (not (tptp.mrel @t254 @t240)) @t241))) @t404)) % 2.62/2.99 (define @t406 () (@list true)) % 2.62/2.99 (define @t407 () (@list true false)) % 2.62/2.99 (define @t408 () (tptp.mrel tptp.mactual @t247)) % 2.62/2.99 (define @t409 () (not @t408)) % 2.62/2.99 (define @t410 () (or @t409 @t401)) % 2.62/2.99 (define @t411 () (forall @t4 @t211)) % 2.62/2.99 (assume @p1 @t5) % 2.62/2.99 (assume @p2 (forall @t10 (exists @t9 @t8))) % 2.62/2.99 (assume @p3 (forall (@list @t2 @t1 @t6) (=> (and @t8 (_ (_ tptp.mrel @t1) @t2)) (_ @t7 @t1)))) % 2.62/2.99 (assume @p4 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ @t12 @t6)) @t11)))))) % 2.62/2.99 (assume @p5 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.mimplies @t16) (_ tptp.mbox (_ @t15 @t6)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p6 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t19 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ (_ tptp.mand @t16) (_ tptp.mbox (_ @t15 @t18)))) (_ tptp.mbox (_ @t12 @t18)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p7 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.a_select2 @t22) @t20)) (_ (_ tptp.a_select2 @t21) @t20))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p8 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t28 @t22)) (_ @t28 @t21))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p9 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t31 @t20) @t29)) (_ (_ @t30 @t20) @t29))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p10 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t33 @t22) @t29)) (_ (_ @t33 @t21) @t29))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p11 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t34 @t22)) (_ @t34 @t21))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p12 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.dim @t22) @t20)) (_ (_ tptp.dim @t21) @t20))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p13 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t35 @t22)) (_ @t35 @t21))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p14 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq @t36) (_ tptp.inv @t21))))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p15 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.minus @t22) @t20)) (_ (_ tptp.minus @t21) @t20))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p16 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t37 @t22)) (_ @t37 @t21))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p17 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.plus @t22) @t20)) (_ (_ tptp.plus @t21) @t20))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p18 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t38 @t22)) (_ @t38 @t21))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p19 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ tptp.pred @t22)) (_ tptp.pred @t21))))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p20 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ tptp.succ @t22)) (_ tptp.succ @t21))))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p21 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ (_ tptp.sum @t22) @t20) @t29)) (_ (_ (_ tptp.sum @t21) @t20) @t29))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p22 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t39 @t22) @t29)) (_ (_ @t39 @t21) @t29))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p23 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t40 @t22)) (_ @t40 @t21))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p24 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.tptp_const_array1 @t22) @t20)) (_ (_ tptp.tptp_const_array1 @t21) @t20))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p25 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t41 @t22)) (_ @t41 @t21))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p26 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ (_ tptp.tptp_const_array2 @t22) @t20) @t29)) (_ (_ (_ tptp.tptp_const_array2 @t21) @t20) @t29))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p27 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t42 @t22) @t29)) (_ (_ @t42 @t21) @t29))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p28 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t43 @t22)) (_ @t43 @t21))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p29 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t44 @t20)) (_ (_ tptp.tptp_madd @t21) @t20))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p30 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t45 @t22)) (_ @t45 @t21))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p31 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t47 @t20)) (_ @t46 @t20))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p32 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t48 @t22)) (_ @t48 @t21))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p33 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t49 @t20)) (_ (_ tptp.tptp_msub @t21) @t20))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p34 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t50 @t22)) (_ @t50 @t21))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p35 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ (_ tptp.tptp_update2 @t22) @t20) @t29)) (_ (_ (_ tptp.tptp_update2 @t21) @t20) @t29))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p36 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t51 @t22) @t29)) (_ (_ @t51 @t21) @t29))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p37 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t52 @t22)) (_ @t52 @t21))))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p38 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t55 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ (_ @t54 @t20) @t29) @t53)) (_ (_ (_ (_ tptp.tptp_update3 @t21) @t20) @t29) @t53))))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p39 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t55 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ (_ @t56 @t22) @t29) @t53)) (_ (_ (_ @t56 @t21) @t29) @t53))))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p40 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t55 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t57 @t22) @t53)) (_ (_ @t57 @t21) @t53))))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p41 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t55 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t58 @t22)) (_ @t58 @t21))))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p42 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq @t60) @t59)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p43 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.uniform_int_rnd @t22) @t20)) (_ (_ tptp.uniform_int_rnd @t21) @t20))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p44 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t61 @t22)) (_ @t61 @t21))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p45 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t62 (_ tptp.mbox (_ (_ tptp.geq @t22) @t20)))) (_ tptp.mbox (_ (_ tptp.geq @t21) @t20)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p46 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t62 (_ tptp.mbox (_ @t63 @t22)))) (_ tptp.mbox (_ @t63 @t21)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p47 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t62 (_ tptp.mbox (_ (_ tptp.gt @t22) @t20)))) (_ tptp.mbox (_ (_ tptp.gt @t21) @t20)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p48 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t62 (_ tptp.mbox (_ @t64 @t22)))) (_ tptp.mbox (_ @t64 @t21)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p49 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t62 (_ tptp.mbox (_ (_ tptp.leq @t22) @t20)))) (_ tptp.mbox (_ (_ tptp.leq @t21) @t20)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p50 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t62 (_ tptp.mbox (_ @t65 @t22)))) (_ tptp.mbox (_ @t65 @t21)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p51 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t62 (_ tptp.mbox (_ (_ tptp.lt @t22) @t20)))) (_ tptp.mbox (_ (_ tptp.lt @t21) @t20)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p52 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t62 (_ tptp.mbox (_ @t66 @t22)))) (_ tptp.mbox (_ @t66 @t21)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p53 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mor @t70) (_ (_ tptp.mor @t68) @t16)) @t11)))) @t11)))))) % 2.62/2.99 (assume @p54 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t19 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ (_ tptp.mand @t70) (_ tptp.mbox (_ @t67 @t18)))) (_ tptp.mbox (_ @t69 @t18)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p55 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t69 @t6)))) @t11)))))) % 2.62/2.99 (assume @p56 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ @t71 @t6)) @t11)))))) % 2.62/2.99 (assume @p57 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t19 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t74 (_ tptp.mbox (_ @t72 @t18)))) (_ tptp.mbox (_ @t71 @t18)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p58 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t75) @t68))) (_ tptp.mbox (_ @t76 @t75))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p59 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t77) @t78))) (_ tptp.mbox (_ (_ tptp.mimplies @t78) @t77))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p60 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ @t76 @t73)) @t11)))) @t11)))))) % 2.62/2.99 (assume @p61 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t74 (_ tptp.mbox (_ tptp.mnot @t16)))) @t68)) @t11)))) @t11)))))) % 2.62/2.99 (assume @p62 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t79) @t68))) (_ tptp.mbox (_ @t76 @t79))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p63 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.gt @t80) @t6)) @t11)))))) % 2.62/2.99 (assume @p64 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ @t82 (_ tptp.mbox (_ @t71 @t81)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p65 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ @t82 @t83))) (_ tptp.mbox (_ (_ tptp.mimplies @t83) @t73))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p66 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t87 (_ tptp.mbox (_ (_ tptp.leq @t84) @t6)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p67 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t87 (_ tptp.mbox (_ @t85 @t84)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p68 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda (@list @t91 @t11) (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t95 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t94 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.leq @t91) @t89))) @t93)) (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.a_select2 (_ (_ tptp.tptp_const_array1 (_ (_ tptp.dim @t91) @t90)) @t88)) @t89)) @t88)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p69 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda (@list @t101 @t11) (_ (_ tptp.mbox (_ tptp.mforall_di (lambda (@list @t100 @t11) (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda (@list @t99 @t11) (_ (_ tptp.mbox (_ tptp.mforall_di (lambda (@list @t98 @t11) (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t94 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.leq @t101) @t89))) (_ (_ tptp.mand (_ tptp.mbox (_ @t92 @t100))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.leq @t99) @t97))) (_ tptp.mbox (_ @t102 @t98)))))) (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ (_ tptp.a_select3 (_ (_ (_ tptp.tptp_const_array2 (_ (_ tptp.dim @t101) @t100)) (_ (_ tptp.dim @t99) @t98)) @t88)) @t89) @t97)) @t88)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p70 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t113 (_ (_ tptp.mbox (_ @t112 (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t110 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t104 @t89) @t97)) (_ (_ @t104 @t97) @t89))))) @t11)))) @t11)))))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p71 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t113 (_ (_ tptp.mbox (_ @t112 (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t110 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t114 @t89) @t97)) (_ (_ @t114 @t97) @t89))))) @t11)))) @t11)))))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p72 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t113 (_ (_ tptp.mbox (_ @t112 (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda (@list @t116 @t11) (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t118 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t109 (_ @t108 (_ @t107 (_ (_ tptp.mand @t106) (_ (_ tptp.mand (_ tptp.mbox (_ @t85 @t116))) (_ tptp.mbox (_ (_ tptp.leq @t116) @t105)))))))) (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t117 @t89) @t97)) (_ (_ @t117 @t97) @t89))))) @t11)))) @t11)))) @t11)))) @t11)))))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p73 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t113 (_ (_ tptp.mbox (_ @t123 (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t110 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t119 @t89) @t97)) (_ (_ @t119 @t97) @t89))))) @t11)))) @t11)))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p74 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t113 (_ (_ tptp.mbox (_ @t123 (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t110 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t124 @t89) @t97)) (_ (_ @t124 @t97) @t89))))) @t11)))) @t11)))))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p75 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t113 (_ (_ tptp.mbox (_ (_ tptp.mimplies @t121) @t126)) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p76 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t113 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t129 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t128 @t120)) @t11)))) @t11))))) @t126)) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p77 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t32 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t55 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda (@list @t130 @t11) (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t113 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t129 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t128 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t133 @t89) @t97)) (_ (_ @t133 @t97) @t89))))) @t11)))) @t11))))) (_ @t122 (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t110 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t132 @t89) @t97)) (_ (_ @t132 @t97) @t89))))) @t11)))) @t11))))))) (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ @t110 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t131 @t89) @t97)) (_ (_ @t131 @t97) @t89))))) @t11)))) @t11)))))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p78 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t136 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq @t135) tptp.n0)) @t11)))))) % 2.62/2.99 (assume @p79 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t136 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq tptp.tptp_float_0_0) @t135)) @t11)))))) % 2.62/2.99 (assume @p80 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ tptp.succ tptp.tptp_minus_1)) tptp.n0)))) % 2.62/2.99 (assume @p81 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t137 tptp.n1)) @t80)) @t11)))))) % 2.62/2.99 (assume @p82 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t138 @t6)) @t80)) @t11)))))) % 2.62/2.99 (assume @p83 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t137 tptp.n2)) @t139)) @t11)))))) % 2.62/2.99 (assume @p84 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.plus tptp.n2) @t6)) @t139)) @t11)))))) % 2.62/2.99 (assume @p85 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t137 tptp.n3)) @t140)) @t11)))))) % 2.62/2.99 (assume @p86 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.plus tptp.n3) @t6)) @t140)) @t11)))))) % 2.62/2.99 (assume @p87 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t137 tptp.n4)) @t141)) @t11)))))) % 2.62/2.99 (assume @p88 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.plus tptp.n4) @t6)) @t141)) @t11)))))) % 2.62/2.99 (assume @p89 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t137 tptp.n5)) @t142)) @t11)))))) % 2.62/2.99 (assume @p90 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.plus tptp.n5) @t6)) @t142)) @t11)))))) % 2.62/2.99 (assume @p91 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t144 tptp.n1)) @t143)) @t11)))))) % 2.62/2.99 (assume @p92 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ tptp.pred @t80)) @t6)) @t11)))))) % 2.62/2.99 (assume @p93 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ tptp.succ @t143)) @t6)) @t11)))))) % 2.62/2.99 (assume @p94 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t146) @t73))) (_ tptp.mbox (_ @t82 @t146))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p95 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ @t145 @t14))) @t68)) @t11)))) @t11)))))) % 2.62/2.99 (assume @p96 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ (_ tptp.leq (_ @t144 @t14)) @t6))) (_ tptp.mbox (_ @t85 @t14)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p97 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t95 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t150 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t118 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t149 @t90) @t147)) @t115)) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p98 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t95 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t150 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t118 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t154 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t153 (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.customqmltpeq @t97) @t147))) (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t152 @t90) @t147)) @t115))))) (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ (_ tptp.a_select3 (_ (_ (_ @t148 @t89) @t97) @t151)) @t90) @t147)) @t115)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p99 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t103 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t95 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t150 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t118 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mforall_di (lambda @t159 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda (@list @t155 @t11) (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t158 (_ (_ tptp.mand (_ tptp.mbox (_ @t85 @t155))) (_ (_ tptp.mand @t157) (_ tptp.mbox (_ (_ tptp.leq @t155) @t147)))))) (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t152 @t156) @t155)) @t115)))) @t11)))) @t11))))) (_ @t109 (_ (_ tptp.mand @t93) (_ @t107 (_ tptp.mbox (_ @t102 @t147))))))) (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ @t149 @t89) @t97)) @t115)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p100 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t95 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t118 (_ (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t161 @t90)) @t115)) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p101 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t95 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t118 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t154 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t153 (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t162 @t90)) @t115)))) (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ (_ tptp.a_select2 (_ (_ @t160 @t89) @t151)) @t90)) @t115)))) @t11)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p102 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t95 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t118 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mforall_di (lambda @t159 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t158 @t157)) (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t162 @t156)) @t115)))) @t11))))) (_ @t109 @t93))) (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ @t161 @t89)) @t115)))) @t11)))) @t11)))) @t11)))) @t11)))))) % 2.62/2.99 (assume @p103 (_ tptp.mlocal @t163)) % 2.62/2.99 (assume @p104 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ (_ tptp.customqmltpeq tptp.def) tptp.use)))))) % 2.62/2.99 (assume @p105 @t168) % 2.62/2.99 (assume @p106 (_ tptp.mlocal (_ tptp.mbox (_ @t169 tptp.n4)))) % 2.62/2.99 (assume @p107 (_ tptp.mlocal (_ tptp.mbox (_ @t170 tptp.tptp_minus_1)))) % 2.62/2.99 (assume @p108 (_ tptp.mlocal (_ tptp.mbox (_ @t169 tptp.tptp_minus_1)))) % 2.62/2.99 (assume @p109 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.gt tptp.n0) tptp.tptp_minus_1)))) % 2.62/2.99 (assume @p110 (_ tptp.mlocal (_ tptp.mbox (_ @t171 tptp.tptp_minus_1)))) % 2.62/2.99 (assume @p111 (_ tptp.mlocal (_ tptp.mbox (_ @t172 tptp.tptp_minus_1)))) % 2.62/2.99 (assume @p112 (_ tptp.mlocal (_ tptp.mbox (_ @t173 tptp.tptp_minus_1)))) % 2.62/2.99 (assume @p113 (_ tptp.mlocal (_ tptp.mbox (_ @t170 tptp.n0)))) % 2.62/2.99 (assume @p114 (_ tptp.mlocal (_ tptp.mbox (_ @t169 tptp.n0)))) % 2.62/2.99 (assume @p115 (_ tptp.mlocal (_ tptp.mbox (_ @t171 tptp.n0)))) % 2.62/2.99 (assume @p116 (_ tptp.mlocal (_ tptp.mbox (_ @t172 tptp.n0)))) % 2.62/2.99 (assume @p117 (_ tptp.mlocal (_ tptp.mbox (_ @t173 tptp.n0)))) % 2.62/2.99 (assume @p118 (_ tptp.mlocal (_ tptp.mbox (_ @t170 tptp.n1)))) % 2.62/2.99 (assume @p119 (_ tptp.mlocal (_ tptp.mbox (_ @t169 tptp.n1)))) % 2.62/2.99 (assume @p120 (_ tptp.mlocal (_ tptp.mbox (_ @t172 tptp.n1)))) % 2.62/2.99 (assume @p121 (_ tptp.mlocal (_ tptp.mbox (_ @t173 tptp.n1)))) % 2.62/2.99 (assume @p122 (_ tptp.mlocal (_ tptp.mbox (_ @t170 tptp.n2)))) % 2.62/2.99 (assume @p123 (_ tptp.mlocal (_ tptp.mbox (_ @t169 tptp.n2)))) % 2.62/2.99 (assume @p124 (_ tptp.mlocal (_ tptp.mbox (_ @t173 tptp.n2)))) % 2.62/2.99 (assume @p125 (_ tptp.mlocal (_ tptp.mbox (_ @t170 tptp.n3)))) % 2.62/2.99 (assume @p126 (_ tptp.mlocal (_ tptp.mbox (_ @t169 tptp.n3)))) % 2.62/2.99 (assume @p127 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t183 (_ tptp.mbox (_ @t71 tptp.n4)))) (_ @t182 (_ @t180 (_ @t178 (_ @t176 @t174)))))) @t11)))))) % 2.62/2.99 (assume @p128 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t183 (_ tptp.mbox (_ @t71 tptp.n5)))) (_ @t182 (_ @t180 (_ @t178 (_ @t176 (_ (_ tptp.mor @t174) (_ tptp.mbox (_ @t12 tptp.n5))))))))) @t11)))))) % 2.62/2.99 (assume @p129 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t183 (_ tptp.mbox (_ @t71 tptp.n0)))) @t181)) @t11)))))) % 2.62/2.99 (assume @p130 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t183 (_ tptp.mbox (_ @t71 tptp.n1)))) (_ @t182 @t179))) @t11)))))) % 2.62/2.99 (assume @p131 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t183 (_ tptp.mbox (_ @t71 tptp.n2)))) (_ @t182 (_ @t180 @t177)))) @t11)))))) % 2.62/2.99 (assume @p132 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t183 (_ tptp.mbox (_ @t71 tptp.n3)))) (_ @t182 (_ @t180 (_ @t178 @t175))))) @t11)))))) % 2.62/2.99 (assume @p133 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.customqmltpeq @t187) tptp.n4)))) % 2.62/2.99 (assume @p134 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.customqmltpeq (_ tptp.succ @t187)) tptp.n5)))) % 2.62/2.99 (assume @p135 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.customqmltpeq @t184) tptp.n1)))) % 2.62/2.99 (assume @p136 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.customqmltpeq @t185) tptp.n2)))) % 2.62/2.99 (assume @p137 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.customqmltpeq @t186) tptp.n3)))) % 2.62/2.99 (assume @p138 true) % 2.62/2.99 (step @p139 (= tptp.mlocal @t189) :rule refl :args (@t189)) % 2.62/2.99 (step @p140 (= tptp.mnot @t192) :rule refl :args (@t192)) % 2.62/2.99 (step @p141 (= tptp.mand @t196) :rule refl :args (@t196)) % 2.62/2.99 (step @p142 (= tptp.mor @t197) :rule refl :args (@t197)) % 2.62/2.99 (step @p143 (= tptp.mimplies @t198) :rule refl :args (@t198)) % 2.62/2.99 (step @p144 (= tptp.mequiv @t199) :rule refl :args (@t199)) % 2.62/2.99 (step @p145 (= tptp.mbox @t204) :rule refl :args (@t204)) % 2.62/2.99 (step @p146 (= tptp.mdia @t205) :rule refl :args (@t205)) % 2.62/2.99 (step @p147 (= tptp.mforall_di @t209) :rule refl :args (@t209)) % 2.62/2.99 (step @p148 (= tptp.mexists_di @t210) :rule refl :args (@t210)) % 2.62/2.99 (step @p149 :rule refl :args (@t211)) % 2.62/2.99 (step @p150 :rule refl :args (@t3)) % 2.62/2.99 (step @p151 :rule cong :premises (@p150 @p149) :args ((= @t3 @t211))) % 2.62/2.99 (step @p152 :rule symm :premises (@p151)) % 2.62/2.99 (step @p153 :rule eq_resolve :premises (@p150 @p152)) % 2.62/2.99 (step @p154 :rule cong :premises (@p153) :args (@t5)) % 2.62/2.99 (step @p155 :rule eq_resolve :premises (@p1 @p154)) % 2.62/2.99 (step @p156 :rule beta-reduce :args ((= @t217 (forall @t201 (or @t213 @t212))))) % 2.62/2.99 (step @p157 :rule beta-reduce :args ((= (_ @t189 @t216) @t217))) % 2.62/2.99 (step @p158 :rule trans :premises (@p157 @p156)) % 2.62/2.99 (step @p159 :rule beta-reduce :args ((= @t220 @t216))) % 2.62/2.99 (step @p160 :rule refl :args (@t189)) % 2.62/2.99 (step @p161 :rule ho_cong :premises (@p160 @p159)) % 2.62/2.99 (step @p162 :rule trans :premises (@p161 @p158)) % 2.62/2.99 (step @p163 :rule refl :args (tptp.true)) % 2.62/2.99 (step @p164 :rule refl :args (@t218)) % 2.62/2.99 (step @p165 :rule refl :args (@t200)) % 2.62/2.99 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t200 @t218))) % 2.62/2.99 (step @p167 :rule symm :premises (@p166)) % 2.62/2.99 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 2.62/2.99 (step @p169 :rule cong :premises (@p153) :args (@t221)) % 2.62/2.99 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t222)) % 2.62/2.99 (step @p171 :rule cong :premises (@p170) :args ((forall @t201 @t222))) % 2.62/2.99 (step @p172 :rule bool-impl-elim :args (@t3 @t200)) % 2.62/2.99 (step @p173 :rule cong :premises (@p172) :args (@t202)) % 2.62/2.99 (step @p174 :rule trans :premises (@p173 @p171)) % 2.62/2.99 (step @p175 :rule cong :premises (@p174) :args (@t204)) % 2.62/2.99 (step @p176 :rule trans :premises (@p145 @p175)) % 2.62/2.99 (step @p177 :rule ho_cong :premises (@p176 @p163)) % 2.62/2.99 (step @p178 :rule ho_cong :premises (@p139 @p177)) % 2.62/2.99 (step @p179 :rule trans :premises (@p178 @p162)) % 2.62/2.99 (step @p180 :rule eq_resolve :premises (@p103 @p179)) % 2.62/2.99 (step @p181 :rule instantiate :premises (@p180) :args ((@list @t247))) % 2.62/2.99 (step @p182 :rule instantiate :premises (@p180) :args ((@list @t248))) % 2.62/2.99 (step @p183 :rule instantiate :premises (@p155) :args ((@list tptp.mactual @t248))) % 2.62/2.99 (step @p184 :rule cnf_or_pos :args (@t252)) % 2.62/2.99 (step @p185 :rule reordering :premises (@p184) :args ((or @t249 @t251 (not @t252)))) % 2.62/2.99 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p182) :args (@t249 (@list false false) (@list @t250 @t252))) % 2.62/2.99 (step @p187 :rule cnf_or_neg :args (@t255 3)) % 2.62/2.99 (step @p188 :rule chain_m_resolution :premises (@p187 @p186) :args (@t255 (@list false) (@list @t249))) % 2.62/2.99 (step @p189 :rule beta-reduce :args ((= @t259 @t246))) % 2.62/2.99 (step @p190 :rule beta-reduce :args ((= (_ @t189 @t258) @t259))) % 2.62/2.99 (step @p191 :rule trans :premises (@p190 @p189)) % 2.62/2.99 (step @p192 :rule quant-merge-prenex :args ((= (forall @t201 @t261) @t257))) % 2.62/2.99 (step @p193 :rule alpha_equiv :args (@t262 (@list @t224 @t223) (@list @t264 @t263))) % 2.62/2.99 (step @p194 :rule quant-unused-vars :args ((= @t265 @t262))) % 2.62/2.99 (step @p195 :rule trans :premises (@p194 @p193)) % 2.62/2.99 (step @p196 :rule alpha_equiv :args (@t266 (@list @t231 @t230) (@list @t268 @t267))) % 2.62/2.99 (step @p197 :rule quant-unused-vars :args ((= @t269 @t266))) % 2.62/2.99 (step @p198 :rule trans :premises (@p197 @p196)) % 2.62/2.99 (step @p199 :rule nary_cong :premises (@p198 @p195) :args (@t270)) % 2.62/2.99 (step @p200 :rule quant-miniscope-and :args ((= @t271 @t270))) % 2.62/2.99 (step @p201 :rule trans :premises (@p200 @p199)) % 2.62/2.99 (step @p202 :rule refl :args (@t244)) % 2.62/2.99 (step @p203 :rule refl :args (@t214)) % 2.62/2.99 (step @p204 :rule nary_cong :premises (@p203 @p202 @p201) :args (@t272)) % 2.62/2.99 (step @p205 :rule quant-miniscope-or :args ((= @t261 @t272))) % 2.62/2.99 (step @p206 :rule trans :premises (@p205 @p204)) % 2.62/2.99 (step @p207 :rule symm :premises (@p206)) % 2.62/2.99 (step @p208 :rule cong :premises (@p207) :args ((forall @t201 @t282))) % 2.62/2.99 (step @p209 :rule trans :premises (@p208 @p192)) % 2.62/2.99 (step @p210 :rule aci_norm :args ((= (or @t214 (or @t244 @t281)) @t282))) % 2.62/2.99 (step @p211 :rule bool-impl-elim :args (@t243 @t281)) % 2.62/2.99 (step @p212 :rule nary_cong :premises (@p203 @p211) :args (@t284)) % 2.62/2.99 (step @p213 :rule trans :premises (@p212 @p210)) % 2.62/2.99 (step @p214 :rule cong :premises (@p213) :args ((forall @t201 @t284))) % 2.62/2.99 (step @p215 :rule trans :premises (@p214 @p209)) % 2.62/2.99 (step @p216 :rule beta-reduce :args ((= (_ (lambda @t10 (=> (forall @t242 (or (not (tptp.mrel @t2 @t240)) @t241)) (and (forall @t280 (or (not (tptp.mrel @t2 @t268)) @t279 @t278 @t277)) (forall @t276 (or (not (tptp.mrel @t2 @t264)) @t275 @t274 @t273))))) @t1) @t283))) % 2.62/2.99 (step @p217 :rule refl :args (@t1)) % 2.62/2.99 (step @p218 :rule alpha_equiv :args (@t290 @t291 (@list @t264))) % 2.62/2.99 (step @p219 :rule alpha_equiv :args (@t297 @t291 (@list @t268))) % 2.62/2.99 (step @p220 :rule nary_cong :premises (@p219 @p218) :args (@t298)) % 2.62/2.99 (step @p221 :rule alpha_equiv :args (@t300 @t291 (@list @t240))) % 2.62/2.99 (step @p222 :rule cong :premises (@p221 @p220) :args (@t301)) % 2.62/2.99 (step @p223 :rule cong :premises (@p222) :args (@t302)) % 2.62/2.99 (step @p224 :rule ho_cong :premises (@p223 @p217)) % 2.62/2.99 (step @p225 :rule trans :premises (@p224 @p216)) % 2.62/2.99 (step @p226 :rule refl :args (@t214)) % 2.62/2.99 (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t303)) % 2.62/2.99 (step @p228 :rule cong :premises (@p227) :args (@t304)) % 2.62/2.99 (step @p229 :rule trans :premises (@p228 @p215)) % 2.62/2.99 (step @p230 :rule cong :premises (@p229) :args (@t305)) % 2.62/2.99 (step @p231 :rule beta-reduce :args ((= (_ @t219 @t302) @t305))) % 2.62/2.99 (step @p232 :rule trans :premises (@p231 @p230)) % 2.62/2.99 (step @p233 :rule beta-reduce :args ((= @t307 @t298))) % 2.62/2.99 (step @p234 :rule refl :args (@t300)) % 2.62/2.99 (step @p235 :rule cong :premises (@p234 @p233) :args (@t308)) % 2.62/2.99 (step @p236 :rule cong :premises (@p235) :args (@t309)) % 2.62/2.99 (step @p237 :rule beta-reduce :args ((= (_ (lambda @t310 (=> @t300 @t194)) @t306) @t309))) % 2.62/2.99 (step @p238 :rule trans :premises (@p237 @p236)) % 2.62/2.99 (step @p239 :rule beta-reduce :args ((= @t312 @t290))) % 2.62/2.99 (step @p240 :rule refl :args (@t297)) % 2.62/2.99 (step @p241 :rule nary_cong :premises (@p240 @p239) :args (@t313)) % 2.62/2.99 (step @p242 :rule cong :premises (@p241) :args (@t314)) % 2.62/2.99 (step @p243 :rule beta-reduce :args ((= (_ (lambda @t310 (and @t297 @t194)) @t311) @t314))) % 2.62/2.99 (step @p244 :rule trans :premises (@p243 @p242)) % 2.62/2.99 (step @p245 :rule aci_norm :args ((= @t316 @t288))) % 2.62/2.99 (step @p246 :rule cong :premises (@p245) :args (@t317)) % 2.62/2.99 (step @p247 :rule quant-merge-prenex :args ((= (forall @t201 @t319) @t317))) % 2.62/2.99 (step @p248 :rule alpha_equiv :args (@t320 (@list @t263) @t322)) % 2.62/2.99 (step @p249 :rule refl :args (@t287)) % 2.62/2.99 (step @p250 :rule nary_cong :premises (@p203 @p249 @p248) :args (@t323)) % 2.62/2.99 (step @p251 :rule quant-miniscope-or :args ((= @t319 @t323))) % 2.62/2.99 (step @p252 :rule trans :premises (@p251 @p250)) % 2.62/2.99 (step @p253 :rule symm :premises (@p252)) % 2.62/2.99 (step @p254 :rule cong :premises (@p253) :args ((forall @t201 @t327))) % 2.62/2.99 (step @p255 :rule trans :premises (@p254 @p247)) % 2.62/2.99 (step @p256 :rule trans :premises (@p255 @p246)) % 2.62/2.99 (step @p257 :rule aci_norm :args ((= (or @t214 (or @t287 @t326)) @t327))) % 2.62/2.99 (step @p258 :rule bool-impl-elim :args (@t286 @t326)) % 2.62/2.99 (step @p259 :rule nary_cong :premises (@p203 @p258) :args (@t329)) % 2.62/2.99 (step @p260 :rule trans :premises (@p259 @p257)) % 2.62/2.99 (step @p261 :rule cong :premises (@p260) :args ((forall @t201 @t329))) % 2.62/2.99 (step @p262 :rule trans :premises (@p261 @p256)) % 2.62/2.99 (step @p263 :rule beta-reduce :args ((= (_ (lambda @t10 (=> (forall @t228 (or (not (tptp.mrel @t2 @t225)) @t227)) (forall @t325 (or (not (tptp.mrel @t2 @t321)) @t324)))) @t1) @t328))) % 2.62/2.99 (step @p264 :rule alpha_equiv :args (@t215 @t291 @t322)) % 2.62/2.99 (step @p265 :rule alpha_equiv :args (@t331 @t291 (@list @t225))) % 2.62/2.99 (step @p266 :rule cong :premises (@p265 @p264) :args (@t332)) % 2.62/2.99 (step @p267 :rule cong :premises (@p266) :args (@t333)) % 2.62/2.99 (step @p268 :rule ho_cong :premises (@p267 @p217)) % 2.62/2.99 (step @p269 :rule trans :premises (@p268 @p263)) % 2.62/2.99 (step @p270 :rule nary_cong :premises (@p226 @p269) :args (@t334)) % 2.62/2.99 (step @p271 :rule cong :premises (@p270) :args (@t335)) % 2.62/2.99 (step @p272 :rule trans :premises (@p271 @p262)) % 2.62/2.99 (step @p273 :rule cong :premises (@p272) :args (@t336)) % 2.62/2.99 (step @p274 :rule beta-reduce :args ((= (_ @t219 @t333) @t336))) % 2.62/2.99 (step @p275 :rule trans :premises (@p274 @p273)) % 2.62/2.99 (step @p276 :rule beta-reduce :args ((= @t337 @t215))) % 2.62/2.99 (step @p277 :rule refl :args (@t331)) % 2.62/2.99 (step @p278 :rule cong :premises (@p277 @p276) :args (@t338)) % 2.62/2.99 (step @p279 :rule cong :premises (@p278) :args (@t339)) % 2.62/2.99 (step @p280 :rule beta-reduce :args ((= (_ (lambda @t310 (=> @t331 @t194)) @t216) @t339))) % 2.62/2.99 (step @p281 :rule trans :premises (@p280 @p279)) % 2.62/2.99 (step @p282 :rule refl :args (@t194)) % 2.62/2.99 (step @p283 :rule beta-reduce :args ((= @t341 @t331))) % 2.62/2.99 (step @p284 :rule cong :premises (@p283 @p282) :args (@t342)) % 2.62/2.99 (step @p285 :rule cong :premises (@p284) :args (@t343)) % 2.62/2.99 (step @p286 :rule beta-reduce :args ((= (_ @t198 @t340) @t343))) % 2.62/2.99 (step @p287 :rule trans :premises (@p286 @p285)) % 2.62/2.99 (step @p288 :rule refl :args ((tptp.gt @t164 tptp.n1 @t1))) % 2.62/2.99 (step @p289 :rule refl :args (tptp.n1)) % 2.62/2.99 (step @p290 :rule refl :args (@t226)) % 2.62/2.99 (step @p291 :rule cong :premises (@p290 @p289 @p217) :args (@t330)) % 2.62/2.99 (step @p292 :rule trans :premises (@p291 @p288)) % 2.62/2.99 (step @p293 :rule refl :args (tptp.gt)) % 2.62/2.99 (step @p294 :rule ho_cong :premises (@p293 @p290)) % 2.62/2.99 (step @p295 :rule ho_cong :premises (@p294 @p289)) % 2.62/2.99 (step @p296 :rule ho_cong :premises (@p295 @p217)) % 2.62/2.99 (step @p297 :rule cong :premises (@p296 @p292) :args ((= (_ (_ (_ tptp.gt @t226) tptp.n1) @t1) @t330))) % 2.62/2.99 (step @p298 :rule symm :premises (@p297)) % 2.62/2.99 (step @p299 :rule refl :args (@t344)) % 2.62/2.99 (step @p300 :rule eq_resolve :premises (@p299 @p298)) % 2.62/2.99 (step @p301 :rule refl :args (@t164)) % 2.62/2.99 (step @p302 :rule cong :premises (@p301 @p290) :args ((= @t164 @t226))) % 2.62/2.99 (step @p303 :rule symm :premises (@p302)) % 2.62/2.99 (step @p304 :rule eq_resolve :premises (@p301 @p303)) % 2.62/2.99 (step @p305 :rule ho_cong :premises (@p293 @p304)) % 2.62/2.99 (step @p306 :rule ho_cong :premises (@p305 @p289)) % 2.62/2.99 (step @p307 :rule ho_cong :premises (@p306 @p217)) % 2.62/2.99 (step @p308 :rule trans :premises (@p307 @p300)) % 2.62/2.99 (step @p309 :rule nary_cong :premises (@p203 @p308) :args (@t345)) % 2.62/2.99 (step @p310 :rule cong :premises (@p309) :args ((forall @t201 @t345))) % 2.62/2.99 (step @p311 :rule refl :args (@t346)) % 2.62/2.99 (step @p312 :rule nary_cong :premises (@p226 @p311) :args (@t347)) % 2.62/2.99 (step @p313 :rule cong :premises (@p312) :args (@t348)) % 2.62/2.99 (step @p314 :rule trans :premises (@p313 @p310)) % 2.62/2.99 (step @p315 :rule cong :premises (@p314) :args (@t349)) % 2.62/2.99 (step @p316 :rule beta-reduce :args ((= @t350 @t349))) % 2.62/2.99 (step @p317 :rule trans :premises (@p316 @p315)) % 2.62/2.99 (step @p318 :rule refl :args (@t198)) % 2.62/2.99 (step @p319 :rule ho_cong :premises (@p318 @p317)) % 2.62/2.99 (step @p320 :rule trans :premises (@p319 @p287)) % 2.62/2.99 (step @p321 :rule ho_cong :premises (@p320 @p159)) % 2.62/2.99 (step @p322 :rule trans :premises (@p321 @p281)) % 2.62/2.99 (step @p323 :rule refl :args (@t219)) % 2.62/2.99 (step @p324 :rule ho_cong :premises (@p323 @p322)) % 2.62/2.99 (step @p325 :rule trans :premises (@p324 @p275)) % 2.62/2.99 (step @p326 :rule beta-reduce :args ((= @t352 @t297))) % 2.62/2.99 (step @p327 :rule nary_cong :premises (@p326 @p282) :args (@t353)) % 2.62/2.99 (step @p328 :rule cong :premises (@p327) :args (@t354)) % 2.62/2.99 (step @p329 :rule beta-reduce :args ((= (_ @t196 @t351) @t354))) % 2.62/2.99 (step @p330 :rule trans :premises (@p329 @p328)) % 2.62/2.99 (step @p331 :rule aci_norm :args ((= @t356 @t295))) % 2.62/2.99 (step @p332 :rule cong :premises (@p331) :args (@t357)) % 2.62/2.99 (step @p333 :rule quant-merge-prenex :args ((= (forall @t201 @t359) @t357))) % 2.62/2.99 (step @p334 :rule alpha_equiv :args (@t360 (@list @t267) @t362)) % 2.62/2.99 (step @p335 :rule refl :args (@t294)) % 2.62/2.99 (step @p336 :rule nary_cong :premises (@p203 @p335 @p334) :args (@t363)) % 2.62/2.99 (step @p337 :rule quant-miniscope-or :args ((= @t359 @t363))) % 2.62/2.99 (step @p338 :rule trans :premises (@p337 @p336)) % 2.62/2.99 (step @p339 :rule symm :premises (@p338)) % 2.62/2.99 (step @p340 :rule cong :premises (@p339) :args ((forall @t201 @t367))) % 2.62/2.99 (step @p341 :rule trans :premises (@p340 @p333)) % 2.62/2.99 (step @p342 :rule trans :premises (@p341 @p332)) % 2.62/2.99 (step @p343 :rule aci_norm :args ((= (or @t214 (or @t294 @t366)) @t367))) % 2.62/2.99 (step @p344 :rule bool-impl-elim :args (@t293 @t366)) % 2.62/2.99 (step @p345 :rule nary_cong :premises (@p203 @p344) :args (@t369)) % 2.62/2.99 (step @p346 :rule trans :premises (@p345 @p343)) % 2.62/2.99 (step @p347 :rule cong :premises (@p346) :args ((forall @t201 @t369))) % 2.62/2.99 (step @p348 :rule trans :premises (@p347 @p342)) % 2.62/2.99 (step @p349 :rule beta-reduce :args ((= (_ (lambda @t10 (=> (forall @t237 (or (not (tptp.mrel @t2 @t234)) @t236)) (forall @t365 (or (not (tptp.mrel @t2 @t361)) @t364)))) @t1) @t368))) % 2.62/2.99 (step @p350 :rule alpha_equiv :args (@t215 @t291 @t362)) % 2.62/2.99 (step @p351 :rule alpha_equiv :args (@t371 @t291 (@list @t234))) % 2.62/2.99 (step @p352 :rule cong :premises (@p351 @p350) :args (@t372)) % 2.62/2.99 (step @p353 :rule cong :premises (@p352) :args (@t373)) % 2.62/2.99 (step @p354 :rule ho_cong :premises (@p353 @p217)) % 2.62/2.99 (step @p355 :rule trans :premises (@p354 @p349)) % 2.62/2.99 (step @p356 :rule nary_cong :premises (@p226 @p355) :args (@t374)) % 2.62/2.99 (step @p357 :rule cong :premises (@p356) :args (@t375)) % 2.62/2.99 (step @p358 :rule trans :premises (@p357 @p348)) % 2.62/2.99 (step @p359 :rule cong :premises (@p358) :args (@t376)) % 2.62/2.99 (step @p360 :rule beta-reduce :args ((= (_ @t219 @t373) @t376))) % 2.62/2.99 (step @p361 :rule trans :premises (@p360 @p359)) % 2.62/2.99 (step @p362 :rule refl :args (@t371)) % 2.62/2.99 (step @p363 :rule cong :premises (@p362 @p276) :args (@t377)) % 2.62/2.99 (step @p364 :rule cong :premises (@p363) :args (@t378)) % 2.62/2.99 (step @p365 :rule beta-reduce :args ((= (_ (lambda @t310 (=> @t371 @t194)) @t216) @t378))) % 2.62/2.99 (step @p366 :rule trans :premises (@p365 @p364)) % 2.62/2.99 (step @p367 :rule beta-reduce :args ((= @t380 @t371))) % 2.62/2.99 (step @p368 :rule cong :premises (@p367 @p282) :args (@t381)) % 2.62/2.99 (step @p369 :rule cong :premises (@p368) :args (@t382)) % 2.62/2.99 (step @p370 :rule beta-reduce :args ((= (_ @t198 @t379) @t382))) % 2.62/2.99 (step @p371 :rule trans :premises (@p370 @p369)) % 2.62/2.99 (step @p372 :rule beta-reduce :args ((= (_ (lambda @t10 (not (forall @t235 (or (not (tptp.mrel @t2 @t232)) @t233)))) @t1) @t370))) % 2.62/2.99 (step @p373 :rule alpha_equiv :args (@t331 @t291 (@list @t232))) % 2.62/2.99 (step @p374 :rule cong :premises (@p373) :args (@t383)) % 2.62/2.99 (step @p375 :rule cong :premises (@p374) :args (@t384)) % 2.62/2.99 (step @p376 :rule ho_cong :premises (@p375 @p217)) % 2.62/2.99 (step @p377 :rule trans :premises (@p376 @p372)) % 2.62/2.99 (step @p378 :rule nary_cong :premises (@p226 @p377) :args (@t385)) % 2.62/2.99 (step @p379 :rule cong :premises (@p378) :args (@t386)) % 2.62/2.99 (step @p380 :rule cong :premises (@p379) :args (@t387)) % 2.62/2.99 (step @p381 :rule beta-reduce :args ((= (_ @t219 @t384) @t387))) % 2.62/2.99 (step @p382 :rule trans :premises (@p381 @p380)) % 2.62/2.99 (step @p383 :rule cong :premises (@p283) :args (@t388)) % 2.62/2.99 (step @p384 :rule cong :premises (@p383) :args (@t389)) % 2.62/2.99 (step @p385 :rule beta-reduce :args ((= (_ @t192 @t340) @t389))) % 2.62/2.99 (step @p386 :rule trans :premises (@p385 @p384)) % 2.62/2.99 (step @p387 :rule refl :args (@t192)) % 2.62/2.99 (step @p388 :rule ho_cong :premises (@p387 @p317)) % 2.62/2.99 (step @p389 :rule trans :premises (@p388 @p386)) % 2.62/2.99 (step @p390 :rule ho_cong :premises (@p323 @p389)) % 2.62/2.99 (step @p391 :rule trans :premises (@p390 @p382)) % 2.62/2.99 (step @p392 :rule ho_cong :premises (@p318 @p391)) % 2.62/2.99 (step @p393 :rule trans :premises (@p392 @p371)) % 2.62/2.99 (step @p394 :rule ho_cong :premises (@p393 @p159)) % 2.62/2.99 (step @p395 :rule trans :premises (@p394 @p366)) % 2.62/2.99 (step @p396 :rule ho_cong :premises (@p323 @p395)) % 2.62/2.99 (step @p397 :rule trans :premises (@p396 @p361)) % 2.62/2.99 (step @p398 :rule refl :args (@t196)) % 2.62/2.99 (step @p399 :rule ho_cong :premises (@p398 @p397)) % 2.62/2.99 (step @p400 :rule trans :premises (@p399 @p330)) % 2.62/2.99 (step @p401 :rule ho_cong :premises (@p400 @p325)) % 2.62/2.99 (step @p402 :rule trans :premises (@p401 @p244)) % 2.62/2.99 (step @p403 :rule beta-reduce :args ((= @t391 @t300))) % 2.62/2.99 (step @p404 :rule cong :premises (@p403 @p282) :args (@t392)) % 2.62/2.99 (step @p405 :rule cong :premises (@p404) :args (@t393)) % 2.62/2.99 (step @p406 :rule beta-reduce :args ((= (_ @t198 @t390) @t393))) % 2.62/2.99 (step @p407 :rule trans :premises (@p406 @p405)) % 2.62/2.99 (step @p408 :rule refl :args (@t299)) % 2.62/2.99 (step @p409 :rule refl :args (@t394)) % 2.62/2.99 (step @p410 :rule cong :premises (@p409 @p408) :args ((= @t394 @t299))) % 2.62/2.99 (step @p411 :rule symm :premises (@p410)) % 2.62/2.99 (step @p412 :rule eq_resolve :premises (@p409 @p411)) % 2.62/2.99 (step @p413 :rule nary_cong :premises (@p203 @p412) :args (@t395)) % 2.62/2.99 (step @p414 :rule cong :premises (@p413) :args ((forall @t201 @t395))) % 2.62/2.99 (step @p415 :rule refl :args (@t396)) % 2.62/2.99 (step @p416 :rule nary_cong :premises (@p226 @p415) :args (@t397)) % 2.62/2.99 (step @p417 :rule cong :premises (@p416) :args (@t398)) % 2.62/2.99 (step @p418 :rule trans :premises (@p417 @p414)) % 2.62/2.99 (step @p419 :rule cong :premises (@p418) :args (@t399)) % 2.62/2.99 (step @p420 :rule beta-reduce :args ((= @t400 @t399))) % 2.62/2.99 (step @p421 :rule trans :premises (@p420 @p419)) % 2.62/2.99 (step @p422 :rule ho_cong :premises (@p318 @p421)) % 2.62/2.99 (step @p423 :rule trans :premises (@p422 @p407)) % 2.62/2.99 (step @p424 :rule ho_cong :premises (@p423 @p402)) % 2.62/2.99 (step @p425 :rule trans :premises (@p424 @p238)) % 2.62/2.99 (step @p426 :rule ho_cong :premises (@p323 @p425)) % 2.62/2.99 (step @p427 :rule trans :premises (@p426 @p232)) % 2.62/2.99 (step @p428 :rule ho_cong :premises (@p160 @p427)) % 2.62/2.99 (step @p429 :rule trans :premises (@p428 @p191)) % 2.62/2.99 (step @p430 :rule cong :premises (@p429) :args ((not (_ @t189 (_ @t219 (_ (_ @t198 @t400) (_ (_ @t196 (_ @t219 (_ (_ @t198 (_ @t219 (_ @t192 @t350))) @t220))) (_ @t219 (_ (_ @t198 @t350) @t220))))))))) % 2.62/2.99 (step @p431 :rule refl :args (@t165)) % 2.62/2.99 (step @p432 :rule ho_cong :premises (@p176 @p431)) % 2.62/2.99 (step @p433 :rule ho_cong :premises (@p143 @p432)) % 2.62/2.99 (step @p434 :rule ho_cong :premises (@p433 @p177)) % 2.62/2.99 (step @p435 :rule ho_cong :premises (@p176 @p434)) % 2.62/2.99 (step @p436 :rule ho_cong :premises (@p140 @p432)) % 2.62/2.99 (step @p437 :rule ho_cong :premises (@p176 @p436)) % 2.62/2.99 (step @p438 :rule ho_cong :premises (@p143 @p437)) % 2.62/2.99 (step @p439 :rule ho_cong :premises (@p438 @p177)) % 2.62/2.99 (step @p440 :rule ho_cong :premises (@p176 @p439)) % 2.62/2.99 (step @p441 :rule ho_cong :premises (@p141 @p440)) % 2.62/2.99 (step @p442 :rule ho_cong :premises (@p441 @p435)) % 2.62/2.99 (step @p443 :rule refl :args (@t167)) % 2.62/2.99 (step @p444 :rule ho_cong :premises (@p176 @p443)) % 2.62/2.99 (step @p445 :rule ho_cong :premises (@p143 @p444)) % 2.62/2.99 (step @p446 :rule ho_cong :premises (@p445 @p442)) % 2.62/2.99 (step @p447 :rule ho_cong :premises (@p176 @p446)) % 2.62/2.99 (step @p448 :rule ho_cong :premises (@p139 @p447)) % 2.62/2.99 (step @p449 :rule cong :premises (@p448) :args (@t168)) % 2.62/2.99 (step @p450 :rule trans :premises (@p449 @p430)) % 2.62/2.99 (step @p451 :rule eq_resolve :premises (@p105 @p450)) % 2.62/2.99 (step @p452 :rule skolemize :premises (@p451)) % 2.62/2.99 (step @p453 :rule cnf_or_neg :args (@t405 2)) % 2.62/2.99 (step @p454 :rule chain_m_resolution :premises (@p453 @p452) :args ((not @t404) @t406 (@list @t405))) % 2.62/2.99 (step @p455 :rule cnf_and_neg :args (@t404)) % 2.62/2.99 (step @p456 :rule chain_m_resolution :premises (@p455 @p454 @p188) :args ((not @t403) @t407 (@list @t404 @t255))) % 2.62/2.99 (step @p457 :rule cnf_or_neg :args (@t403 3)) % 2.62/2.99 (step @p458 :rule chain_m_resolution :premises (@p457 @p456) :args ((not @t401) @t406 (@list @t403))) % 2.62/2.99 (step @p459 :rule cnf_or_pos :args (@t410)) % 2.62/2.99 (step @p460 :rule reordering :premises (@p459) :args ((or @t401 @t409 (not @t410)))) % 2.62/2.99 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p181) :args (@t409 @t407 (@list @t401 @t410))) % 2.62/2.99 (assume-push @p468 @t411) % 2.62/2.99 (step @p463 :rule instantiate :premises (@p155) :args ((@list tptp.mactual @t247))) % 2.62/2.99 (step-pop @p469 :rule scope :premises (@p463)) % 2.62/2.99 (step @p464 :rule process_scope :premises (@p469) :args (@t408)) % 2.62/2.99 (step @p466 :rule implies_elim :premises (@p464)) % 2.62/2.99 (step @p467 false :rule chain_m_resolution :premises (@p466 @p461 @p155) :args (false @t407 (@list @t408 @t411))) % 2.62/2.99 ) % 2.62/2.99 % SZS output end Proof % 2.62/2.99 % cvc5 exiting %------------------------------------------------------------------------------