%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO064^4.003 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 09:11:55 AM UTC 2026 % Result : Theorem 0.60s 0.80s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO064^4.003 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:52:27 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.51 %----Proving TH0 % 0.60/0.80 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.60/0.80 % SZS status Theorem % 0.60/0.80 % SZS output start Proof % 0.60/0.80 ( % 0.60/0.80 (declare-sort $$unsorted 0) % 0.60/0.80 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.a (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.a1 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.b1 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.a2 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.b2 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.a3 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.b (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.60/0.80 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.60/0.80 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.60/0.80 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.60/0.80 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.60/0.80 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.irel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.60/0.80 (define tptp.iatom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 0.60/0.80 (define tptp.inot () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 _let_2)) _let_1))))) % 0.60/0.80 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.60/0.80 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.60/0.80 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.60/0.80 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.60/0.80 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1)))))) % 0.60/0.80 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iand (_ (_ tptp.iimplies _let_2) _let_3)) (_ (_ tptp.iimplies _let_3) _let_2)) _let_1)))))) % 0.60/0.80 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1)))))) % 0.60/0.80 (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.60/0.80 (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.60/0.80 (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.60/0.80 (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.60/0.80 (define @t1 () (@var "X" $$unsorted)) % 0.60/0.80 (define @t2 () (_ tptp.irel @t1)) % 0.60/0.80 (define @t3 () (_ @t2 @t1)) % 0.60/0.80 (define @t4 () (@list @t1)) % 0.60/0.80 (define @t5 () (forall @t4 @t3)) % 0.60/0.80 (define @t6 () (@var "Z" $$unsorted)) % 0.60/0.80 (define @t7 () (_ @t2 @t6)) % 0.60/0.80 (define @t8 () (@var "Y" $$unsorted)) % 0.60/0.80 (define @t9 () (_ (_ tptp.irel @t8) @t6)) % 0.60/0.80 (define @t10 () (_ @t2 @t8)) % 0.60/0.80 (define @t11 () (and @t10 @t9)) % 0.60/0.80 (define @t12 () (@list @t1 @t8 @t6)) % 0.60/0.80 (define @t13 () (forall @t12 (=> @t11 @t7))) % 0.60/0.80 (define @t14 () (_ tptp.iatom tptp.a3)) % 0.60/0.80 (define @t15 () (_ tptp.iatom tptp.b2)) % 0.60/0.80 (define @t16 () (_ tptp.iatom tptp.a2)) % 0.60/0.80 (define @t17 () (_ tptp.iatom tptp.b1)) % 0.60/0.80 (define @t18 () (_ tptp.iatom tptp.a1)) % 0.60/0.80 (define @t19 () (_ tptp.iatom tptp.b)) % 0.60/0.80 (define @t20 () (_ tptp.iatom tptp.a)) % 0.60/0.80 (define @t21 () (not (_ tptp.ivalid (_ (_ tptp.ior @t20) (_ (_ tptp.ior (_ (_ tptp.iand @t19) @t18)) (_ (_ tptp.ior (_ (_ tptp.iand @t17) @t16)) (_ (_ tptp.iand @t15) @t14))))))) % 0.60/0.80 (define @t22 () (@var "U" $$unsorted)) % 0.60/0.80 (define @t23 () (@var "X" (-> $$unsorted Bool))) % 0.60/0.80 (define @t24 () (_ @t23 @t22)) % 0.60/0.80 (define @t25 () (lambda (@list @t23 @t22) (not @t24))) % 0.60/0.80 (define @t26 () (@var "Y" (-> $$unsorted Bool))) % 0.60/0.80 (define @t27 () (_ @t26 @t22)) % 0.60/0.80 (define @t28 () (@list @t23 @t26 @t22)) % 0.60/0.80 (define @t29 () (lambda @t28 (or @t24 @t27))) % 0.60/0.80 (define @t30 () (lambda @t28 (and @t24 @t27))) % 0.60/0.80 (define @t31 () (@var "__flatten_var_0" $$unsorted)) % 0.60/0.80 (define @t32 () (@var "V" (-> $$unsorted Bool))) % 0.60/0.80 (define @t33 () (@var "U" (-> $$unsorted Bool))) % 0.60/0.80 (define @t34 () (@list @t33 @t32 @t31)) % 0.60/0.80 (define @t35 () (lambda @t34 (_ (_ (_ tptp.mor (_ tptp.mnot @t33)) @t32) @t31))) % 0.60/0.80 (define @t36 () (@var "P" (-> $$unsorted Bool))) % 0.60/0.80 (define @t37 () (_ @t36 @t8)) % 0.60/0.80 (define @t38 () (@list @t8)) % 0.60/0.80 (define @t39 () (forall @t38 (=> @t10 @t37))) % 0.60/0.80 (define @t40 () (@list @t36 @t1)) % 0.60/0.80 (define @t41 () (lambda @t40 @t39)) % 0.60/0.80 (define @t42 () (_ @t36 @t31)) % 0.60/0.80 (define @t43 () (@list @t36 @t31)) % 0.60/0.80 (define @t44 () (lambda @t43 @t42)) % 0.60/0.80 (define @t45 () (_ tptp.mbox_s4 @t36)) % 0.60/0.80 (define @t46 () (lambda @t43 (_ (_ tptp.mnot @t45) @t31))) % 0.60/0.80 (define @t47 () (@var "W" $$unsorted)) % 0.60/0.80 (define @t48 () (@list @t47)) % 0.60/0.80 (define @t49 () (lambda @t48 true)) % 0.60/0.80 (define @t50 () (@var "Q" (-> $$unsorted Bool))) % 0.60/0.80 (define @t51 () (@list @t36 @t50 @t31)) % 0.60/0.80 (define @t52 () (lambda @t51 (_ (_ (_ tptp.mand @t36) @t50) @t31))) % 0.60/0.80 (define @t53 () (_ tptp.mbox_s4 @t50)) % 0.60/0.80 (define @t54 () (lambda @t51 (_ (_ (_ tptp.mor @t45) @t53) @t31))) % 0.60/0.80 (define @t55 () (lambda @t51 (_ (_ (_ tptp.mimplies @t45) @t53) @t31))) % 0.60/0.80 (define @t56 () (_ (_ tptp.iimplies @t50) @t36)) % 0.60/0.80 (define @t57 () (lambda @t51 (_ @t56 @t31))) % 0.60/0.80 (define @t58 () (lambda @t51 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t36) @t50)) @t56) @t31))) % 0.60/0.80 (define @t59 () (lambda @t51 (_ (_ tptp.inot (_ (_ tptp.iequiv @t36) @t50)) @t31))) % 0.60/0.80 (define @t60 () (@var "Phi" (-> $$unsorted Bool))) % 0.60/0.80 (define @t61 () (_ @t60 @t47)) % 0.60/0.80 (define @t62 () (forall @t48 @t61)) % 0.60/0.80 (define @t63 () (@list @t60)) % 0.60/0.80 (define @t64 () (lambda @t63 @t62)) % 0.60/0.80 (define @t65 () (lambda @t63 (exists @t48 @t61))) % 0.60/0.80 (define @t66 () (not @t61)) % 0.60/0.80 (define @t67 () (lambda @t63 (exists @t48 @t66))) % 0.60/0.80 (define @t68 () (lambda @t63 (forall @t48 @t66))) % 0.60/0.80 (define @t69 () (tptp.a3 @t47)) % 0.60/0.80 (define @t70 () (_ tptp.a3 @t47)) % 0.60/0.80 (define @t71 () (_ tptp.a3 @t31)) % 0.60/0.80 (define @t72 () (@list @t31)) % 0.60/0.80 (define @t73 () (lambda @t72 @t71)) % 0.60/0.80 (define @t74 () (_ @t73 @t47)) % 0.60/0.80 (define @t75 () (forall @t48 @t74)) % 0.60/0.80 (define @t76 () (_ @t60 @t47)) % 0.60/0.80 (define @t77 () (lambda @t63 (forall @t48 @t76))) % 0.60/0.80 (define @t78 () (_ @t44 tptp.a3)) % 0.60/0.80 (define @t79 () (@var "BOUND_VARIABLE_8274" $$unsorted)) % 0.60/0.80 (define @t80 () (tptp.b2 @t79)) % 0.60/0.80 (define @t81 () (@var "BOUND_VARIABLE_8266" $$unsorted)) % 0.60/0.80 (define @t82 () (not (tptp.irel @t81 @t79))) % 0.60/0.80 (define @t83 () (@var "BOUND_VARIABLE_8272" $$unsorted)) % 0.60/0.80 (define @t84 () (tptp.a2 @t83)) % 0.60/0.80 (define @t85 () (@var "BOUND_VARIABLE_8268" $$unsorted)) % 0.60/0.80 (define @t86 () (not (tptp.irel @t85 @t83))) % 0.60/0.80 (define @t87 () (@var "BOUND_VARIABLE_8270" $$unsorted)) % 0.60/0.80 (define @t88 () (tptp.b2 @t87)) % 0.60/0.80 (define @t89 () (not (tptp.irel @t85 @t87))) % 0.60/0.80 (define @t90 () (not (tptp.irel @t81 @t85))) % 0.60/0.80 (define @t91 () (not (tptp.irel @t47 @t81))) % 0.60/0.80 (define @t92 () (tptp.b1 @t8)) % 0.60/0.80 (define @t93 () (not (tptp.irel @t47 @t8))) % 0.60/0.80 (define @t94 () (not (forall @t38 (or @t93 @t92)))) % 0.60/0.80 (define @t95 () (or @t91 @t90 @t89 @t88 @t86 @t84 @t82 @t80)) % 0.60/0.80 (define @t96 () (or @t94 @t95)) % 0.60/0.80 (define @t97 () (forall (@list @t47 @t81 @t85 @t87 @t83 @t79) @t96)) % 0.60/0.80 (define @t98 () (@list @t81 @t85 @t87 @t83 @t79)) % 0.60/0.80 (define @t99 () (forall @t98 @t96)) % 0.60/0.80 (define @t100 () (forall @t98 @t95)) % 0.60/0.80 (define @t101 () (@var "BOUND_VARIABLE_8241" $$unsorted)) % 0.60/0.80 (define @t102 () (@var "BOUND_VARIABLE_8230" $$unsorted)) % 0.60/0.80 (define @t103 () (@var "BOUND_VARIABLE_8228" $$unsorted)) % 0.60/0.80 (define @t104 () (@var "BOUND_VARIABLE_8226" $$unsorted)) % 0.60/0.80 (define @t105 () (or @t94 @t100)) % 0.60/0.80 (define @t106 () (tptp.b2 @t101)) % 0.60/0.80 (define @t107 () (not (tptp.irel @t8 @t101))) % 0.60/0.80 (define @t108 () (tptp.a2 @t102)) % 0.60/0.80 (define @t109 () (not (tptp.irel @t104 @t102))) % 0.60/0.80 (define @t110 () (tptp.b2 @t103)) % 0.60/0.80 (define @t111 () (not (tptp.irel @t104 @t103))) % 0.60/0.80 (define @t112 () (not (tptp.irel @t8 @t104))) % 0.60/0.80 (define @t113 () (@list @t8 @t104 @t103 @t102 @t101)) % 0.60/0.80 (define @t114 () (or @t94 (forall @t113 (or @t93 @t112 @t111 @t110 @t109 @t108 @t107 @t106)))) % 0.60/0.80 (define @t115 () (not (tptp.irel @t31 @t8))) % 0.60/0.80 (define @t116 () (or @t115 @t112 @t111 @t110 @t109 @t108 @t107 @t106)) % 0.60/0.80 (define @t117 () (forall @t38 (or @t115 @t92))) % 0.60/0.80 (define @t118 () (not @t117)) % 0.60/0.80 (define @t119 () (lambda @t72 (or @t118 (forall @t113 @t116)))) % 0.60/0.80 (define @t120 () (_ @t119 @t47)) % 0.60/0.80 (define @t121 () (forall @t48 @t120)) % 0.60/0.80 (define @t122 () (or @t107 @t106)) % 0.60/0.80 (define @t123 () (or @t112 @t111 @t110 @t109 @t108)) % 0.60/0.80 (define @t124 () (or @t115 @t123 @t122)) % 0.60/0.80 (define @t125 () (forall @t113 @t124)) % 0.60/0.80 (define @t126 () (forall (@list @t104 @t103 @t102 @t101) @t124)) % 0.60/0.80 (define @t127 () (forall (@list @t101) @t122)) % 0.60/0.80 (define @t128 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 0.60/0.80 (define @t129 () (@list @t128)) % 0.60/0.80 (define @t130 () (forall (@list @t104 @t103 @t102) @t123)) % 0.60/0.80 (define @t131 () (@var "BOUND_VARIABLE_8166" $$unsorted)) % 0.60/0.80 (define @t132 () (@var "BOUND_VARIABLE_8160" $$unsorted)) % 0.60/0.80 (define @t133 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 0.60/0.80 (define @t134 () (or @t115 @t130 @t127)) % 0.60/0.80 (define @t135 () (tptp.b2 @t128)) % 0.60/0.80 (define @t136 () (@list @t128)) % 0.60/0.80 (define @t137 () (forall @t136 (or (not (tptp.irel @t8 @t128)) @t135))) % 0.60/0.80 (define @t138 () (tptp.a2 @t131)) % 0.60/0.80 (define @t139 () (not (tptp.irel @t133 @t131))) % 0.60/0.80 (define @t140 () (tptp.b2 @t132)) % 0.60/0.80 (define @t141 () (not (tptp.irel @t133 @t132))) % 0.60/0.80 (define @t142 () (@list @t133 @t132 @t131)) % 0.60/0.80 (define @t143 () (forall @t142 (or (not (tptp.irel @t8 @t133)) @t141 @t140 @t139 @t138))) % 0.60/0.80 (define @t144 () (or @t115 @t143 @t137)) % 0.60/0.80 (define @t145 () (or @t143 @t137)) % 0.60/0.80 (define @t146 () (tptp.b2 @t8)) % 0.60/0.80 (define @t147 () (forall @t38 (or @t115 @t146))) % 0.60/0.80 (define @t148 () (@list @t8)) % 0.60/0.80 (define @t149 () (not (tptp.irel @t8 @t131))) % 0.60/0.80 (define @t150 () (not (tptp.irel @t8 @t132))) % 0.60/0.80 (define @t151 () (or @t115 @t150 @t140 @t149 @t138)) % 0.60/0.80 (define @t152 () (@list @t8 @t132 @t131)) % 0.60/0.80 (define @t153 () (forall @t152 @t151)) % 0.60/0.80 (define @t154 () (or @t153 @t147)) % 0.60/0.80 (define @t155 () (lambda @t72 @t154)) % 0.60/0.80 (define @t156 () (or @t115 (_ @t155 @t8))) % 0.60/0.80 (define @t157 () (forall @t38 @t156)) % 0.60/0.80 (define @t158 () (or @t118 @t157)) % 0.60/0.80 (define @t159 () (lambda @t72 @t158)) % 0.60/0.80 (define @t160 () (_ @t50 @t8)) % 0.60/0.80 (define @t161 () (forall @t38 (or @t115 @t160))) % 0.60/0.80 (define @t162 () (@list @t50 @t31)) % 0.60/0.80 (define @t163 () (_ tptp.b2 @t8)) % 0.60/0.80 (define @t164 () (or @t115 @t163)) % 0.60/0.80 (define @t165 () (_ tptp.b2 @t31)) % 0.60/0.80 (define @t166 () (lambda @t72 @t165)) % 0.60/0.80 (define @t167 () (_ @t166 @t8)) % 0.60/0.80 (define @t168 () (or @t115 @t167)) % 0.60/0.80 (define @t169 () (forall @t38 @t168)) % 0.60/0.80 (define @t170 () (or @t153 @t169)) % 0.60/0.80 (define @t171 () (lambda @t72 @t170)) % 0.60/0.80 (define @t172 () (_ @t44 tptp.b2)) % 0.60/0.80 (define @t173 () (or @t149 @t138)) % 0.60/0.80 (define @t174 () (or @t150 @t140)) % 0.60/0.80 (define @t175 () (or @t115 @t174 @t173)) % 0.60/0.80 (define @t176 () (forall @t152 @t175)) % 0.60/0.80 (define @t177 () (forall (@list @t132 @t131) @t175)) % 0.60/0.80 (define @t178 () (forall (@list @t131) @t173)) % 0.60/0.80 (define @t179 () (@var "BOUND_VARIABLE_8129" $$unsorted)) % 0.60/0.80 (define @t180 () (@list @t179)) % 0.60/0.80 (define @t181 () (forall (@list @t132) @t174)) % 0.60/0.80 (define @t182 () (@var "BOUND_VARIABLE_8137" $$unsorted)) % 0.60/0.80 (define @t183 () (@list @t182)) % 0.60/0.80 (define @t184 () (or @t115 @t181 @t178)) % 0.60/0.80 (define @t185 () (tptp.a2 @t179)) % 0.60/0.80 (define @t186 () (@list @t179)) % 0.60/0.80 (define @t187 () (forall @t186 (or (not (tptp.irel @t8 @t179)) @t185))) % 0.60/0.80 (define @t188 () (tptp.b2 @t182)) % 0.60/0.80 (define @t189 () (@list @t182)) % 0.60/0.80 (define @t190 () (forall @t189 (or (not (tptp.irel @t8 @t182)) @t188))) % 0.60/0.80 (define @t191 () (or @t115 @t190 @t187)) % 0.60/0.80 (define @t192 () (or @t190 @t187)) % 0.60/0.80 (define @t193 () (tptp.a2 @t8)) % 0.60/0.80 (define @t194 () (forall @t38 (or @t115 @t193))) % 0.60/0.80 (define @t195 () (or @t147 @t194)) % 0.60/0.80 (define @t196 () (lambda @t72 @t195)) % 0.60/0.80 (define @t197 () (or @t115 (_ @t196 @t8))) % 0.60/0.80 (define @t198 () (forall @t38 @t197)) % 0.60/0.80 (define @t199 () (or @t198 @t161)) % 0.60/0.80 (define @t200 () (lambda @t162 @t199)) % 0.60/0.80 (define @t201 () (_ @t36 @t8)) % 0.60/0.80 (define @t202 () (forall @t38 (or @t115 @t201))) % 0.60/0.80 (define @t203 () (or @t202 @t161)) % 0.60/0.80 (define @t204 () (lambda @t51 @t203)) % 0.60/0.80 (define @t205 () (_ tptp.a2 @t8)) % 0.60/0.80 (define @t206 () (or @t115 @t205)) % 0.60/0.80 (define @t207 () (_ tptp.a2 @t31)) % 0.60/0.80 (define @t208 () (lambda @t72 @t207)) % 0.60/0.80 (define @t209 () (_ @t208 @t8)) % 0.60/0.80 (define @t210 () (or @t115 @t209)) % 0.60/0.80 (define @t211 () (forall @t38 @t210)) % 0.60/0.80 (define @t212 () (or @t147 @t211)) % 0.60/0.80 (define @t213 () (lambda @t72 @t212)) % 0.60/0.80 (define @t214 () (_ @t44 tptp.a2)) % 0.60/0.80 (define @t215 () (or @t169 @t161)) % 0.60/0.80 (define @t216 () (lambda @t162 @t215)) % 0.60/0.80 (define @t217 () (_ tptp.b1 @t8)) % 0.60/0.80 (define @t218 () (or @t115 @t217)) % 0.60/0.80 (define @t219 () (_ tptp.b1 @t31)) % 0.60/0.80 (define @t220 () (lambda @t72 @t219)) % 0.60/0.80 (define @t221 () (_ @t220 @t8)) % 0.60/0.80 (define @t222 () (or @t115 @t221)) % 0.60/0.80 (define @t223 () (forall @t38 @t222)) % 0.60/0.80 (define @t224 () (not @t223)) % 0.60/0.80 (define @t225 () (or @t224 @t161)) % 0.60/0.80 (define @t226 () (lambda @t162 @t225)) % 0.60/0.80 (define @t227 () (not @t202)) % 0.60/0.80 (define @t228 () (or @t227 @t161)) % 0.60/0.80 (define @t229 () (lambda @t51 @t228)) % 0.60/0.80 (define @t230 () (_ @t44 tptp.b1)) % 0.60/0.80 (define @t231 () (not (tptp.irel @t22 @t8))) % 0.60/0.80 (define @t232 () (forall @t38 (or @t231 @t160))) % 0.60/0.80 (define @t233 () (forall @t38 (or @t231 @t201))) % 0.60/0.80 (define @t234 () (@list @t22)) % 0.60/0.80 (define @t235 () (tptp.irel @t1 @t8)) % 0.60/0.80 (define @t236 () (not @t235)) % 0.60/0.80 (define @t237 () (lambda @t4 (forall @t38 (or @t236 @t160)))) % 0.60/0.80 (define @t238 () (_ @t237 @t22)) % 0.60/0.80 (define @t239 () (or @t233 @t238)) % 0.60/0.80 (define @t240 () (lambda @t234 @t239)) % 0.60/0.80 (define @t241 () (@list @t26 @t22)) % 0.60/0.80 (define @t242 () (forall @t38 (or @t236 @t201))) % 0.60/0.80 (define @t243 () (lambda @t40 @t242)) % 0.60/0.80 (define @t244 () (lambda @t4 @t242)) % 0.60/0.80 (define @t245 () (_ @t244 @t22)) % 0.60/0.80 (define @t246 () (or @t245 @t27)) % 0.60/0.80 (define @t247 () (lambda @t241 @t246)) % 0.60/0.80 (define @t248 () (not @t10)) % 0.60/0.80 (define @t249 () (or @t248 @t37)) % 0.60/0.80 (define @t250 () (_ @t237 @t31)) % 0.60/0.80 (define @t251 () (or @t227 @t250)) % 0.60/0.80 (define @t252 () (lambda @t72 @t251)) % 0.60/0.80 (define @t253 () (_ @t32 @t31)) % 0.60/0.80 (define @t254 () (@list @t32 @t31)) % 0.60/0.80 (define @t255 () (_ @t244 @t31)) % 0.60/0.80 (define @t256 () (not @t255)) % 0.60/0.80 (define @t257 () (or @t256 @t253)) % 0.60/0.80 (define @t258 () (lambda @t254 @t257)) % 0.60/0.80 (define @t259 () (or (not (_ @t33 @t31)) @t253)) % 0.60/0.80 (define @t260 () (lambda @t34 @t259)) % 0.60/0.80 (define @t261 () (not (_ @t33 @t22))) % 0.60/0.80 (define @t262 () (lambda @t234 (or @t261 (_ @t32 @t22)))) % 0.60/0.80 (define @t263 () (lambda @t234 @t261)) % 0.60/0.80 (define @t264 () (_ @t263 @t22)) % 0.60/0.80 (define @t265 () (or @t264 @t27)) % 0.60/0.80 (define @t266 () (lambda @t241 @t265)) % 0.60/0.80 (define @t267 () (@var "BOUND_VARIABLE_8908" $$unsorted)) % 0.60/0.80 (define @t268 () (and (tptp.b2 @t267) (tptp.a3 @t267))) % 0.60/0.80 (define @t269 () (@var "BOUND_VARIABLE_8904" $$unsorted)) % 0.60/0.80 (define @t270 () (not (tptp.irel @t269 @t267))) % 0.60/0.80 (define @t271 () (@var "BOUND_VARIABLE_8906" $$unsorted)) % 0.60/0.80 (define @t272 () (and (tptp.b1 @t271) (tptp.a2 @t271))) % 0.60/0.80 (define @t273 () (not (tptp.irel @t269 @t271))) % 0.60/0.80 (define @t274 () (@var "BOUND_VARIABLE_8900" $$unsorted)) % 0.60/0.80 (define @t275 () (not (tptp.irel @t274 @t269))) % 0.60/0.80 (define @t276 () (@var "BOUND_VARIABLE_8902" $$unsorted)) % 0.60/0.80 (define @t277 () (and (tptp.b @t276) (tptp.a1 @t276))) % 0.60/0.80 (define @t278 () (not (tptp.irel @t274 @t276))) % 0.60/0.80 (define @t279 () (not (tptp.irel @t47 @t274))) % 0.60/0.80 (define @t280 () (@var "BOUND_VARIABLE_8894" $$unsorted)) % 0.60/0.80 (define @t281 () (tptp.a @t280)) % 0.60/0.80 (define @t282 () (not (tptp.irel @t47 @t280))) % 0.60/0.80 (define @t283 () (or @t282 @t281 @t279 @t278 @t277 @t275 @t273 @t272 @t270 @t268)) % 0.60/0.80 (define @t284 () (@list @t47 @t280 @t274 @t276 @t269 @t271 @t267)) % 0.60/0.80 (define @t285 () (forall @t284 @t283)) % 0.60/0.80 (define @t286 () (@quantifiers_skolemize @t285 6)) % 0.60/0.80 (define @t287 () (@quantifiers_skolemize @t285 5)) % 0.60/0.80 (define @t288 () (@quantifiers_skolemize @t285 4)) % 0.60/0.80 (define @t289 () (@quantifiers_skolemize @t285 2)) % 0.60/0.80 (define @t290 () (@quantifiers_skolemize @t285 0)) % 0.60/0.80 (define @t291 () (tptp.irel @t1 @t6)) % 0.60/0.80 (define @t292 () (tptp.irel @t8 @t6)) % 0.60/0.80 (define @t293 () (not @t9)) % 0.60/0.80 (define @t294 () (or @t248 @t293 @t7)) % 0.60/0.80 (define @t295 () (or @t279 @t278 @t277 @t275 @t273 @t272 @t270 @t268)) % 0.60/0.80 (define @t296 () (or @t282 @t281)) % 0.60/0.80 (define @t297 () (or @t296 @t295)) % 0.60/0.80 (define @t298 () (forall @t284 @t297)) % 0.60/0.80 (define @t299 () (forall (@list @t280 @t274 @t276 @t269 @t271 @t267) @t297)) % 0.60/0.80 (define @t300 () (forall (@list @t274 @t276 @t269 @t271 @t267) @t295)) % 0.60/0.80 (define @t301 () (@var "BOUND_VARIABLE_8863" $$unsorted)) % 0.60/0.80 (define @t302 () (@var "BOUND_VARIABLE_8861" $$unsorted)) % 0.60/0.80 (define @t303 () (@var "BOUND_VARIABLE_8859" $$unsorted)) % 0.60/0.80 (define @t304 () (@var "BOUND_VARIABLE_8851" $$unsorted)) % 0.60/0.80 (define @t305 () (forall (@list @t280) @t296)) % 0.60/0.80 (define @t306 () (or @t305 @t300)) % 0.60/0.80 (define @t307 () (and (tptp.b2 @t301) (tptp.a3 @t301))) % 0.60/0.80 (define @t308 () (not (tptp.irel @t303 @t301))) % 0.60/0.80 (define @t309 () (and (tptp.b1 @t302) (tptp.a2 @t302))) % 0.60/0.80 (define @t310 () (not (tptp.irel @t303 @t302))) % 0.60/0.80 (define @t311 () (not (tptp.irel @t8 @t303))) % 0.60/0.80 (define @t312 () (and (tptp.b @t304) (tptp.a1 @t304))) % 0.60/0.80 (define @t313 () (not (tptp.irel @t8 @t304))) % 0.60/0.80 (define @t314 () (@list @t8 @t304 @t303 @t302 @t301)) % 0.60/0.80 (define @t315 () (tptp.a @t8)) % 0.60/0.80 (define @t316 () (or (forall @t38 (or @t93 @t315)) (forall @t314 (or @t93 @t313 @t312 @t311 @t310 @t309 @t308 @t307)))) % 0.60/0.80 (define @t317 () (or @t115 @t313 @t312 @t311 @t310 @t309 @t308 @t307)) % 0.60/0.80 (define @t318 () (forall @t38 (or @t115 @t315))) % 0.60/0.80 (define @t319 () (lambda @t72 (or @t318 (forall @t314 @t317)))) % 0.60/0.80 (define @t320 () (_ @t319 @t47)) % 0.60/0.80 (define @t321 () (forall @t48 @t320)) % 0.60/0.80 (define @t322 () (or @t311 @t310 @t309 @t308 @t307)) % 0.60/0.80 (define @t323 () (or @t313 @t312)) % 0.60/0.80 (define @t324 () (or @t115 @t323 @t322)) % 0.60/0.80 (define @t325 () (forall @t314 @t324)) % 0.60/0.80 (define @t326 () (forall (@list @t304 @t303 @t302 @t301) @t324)) % 0.60/0.80 (define @t327 () (forall (@list @t303 @t302 @t301) @t322)) % 0.60/0.80 (define @t328 () (@var "BOUND_VARIABLE_8793" $$unsorted)) % 0.60/0.80 (define @t329 () (@var "BOUND_VARIABLE_8785" $$unsorted)) % 0.60/0.80 (define @t330 () (@var "BOUND_VARIABLE_8815" $$unsorted)) % 0.60/0.80 (define @t331 () (forall (@list @t304) @t323)) % 0.60/0.80 (define @t332 () (@var "BOUND_VARIABLE_8826" $$unsorted)) % 0.60/0.80 (define @t333 () (@list @t332)) % 0.60/0.80 (define @t334 () (or @t115 @t331 @t327)) % 0.60/0.80 (define @t335 () (and (tptp.b2 @t328) (tptp.a3 @t328))) % 0.60/0.80 (define @t336 () (not (tptp.irel @t330 @t328))) % 0.60/0.80 (define @t337 () (and (tptp.b1 @t329) (tptp.a2 @t329))) % 0.60/0.80 (define @t338 () (not (tptp.irel @t330 @t329))) % 0.60/0.80 (define @t339 () (@list @t330 @t329 @t328)) % 0.60/0.80 (define @t340 () (forall @t339 (or (not (tptp.irel @t8 @t330)) @t338 @t337 @t336 @t335))) % 0.60/0.80 (define @t341 () (and (tptp.b @t332) (tptp.a1 @t332))) % 0.60/0.80 (define @t342 () (@list @t332)) % 0.60/0.80 (define @t343 () (forall @t342 (or (not (tptp.irel @t8 @t332)) @t341))) % 0.60/0.80 (define @t344 () (or @t115 @t343 @t340)) % 0.60/0.80 (define @t345 () (or @t343 @t340)) % 0.60/0.80 (define @t346 () (not (tptp.irel @t8 @t328))) % 0.60/0.80 (define @t347 () (not (tptp.irel @t8 @t329))) % 0.60/0.80 (define @t348 () (or @t115 @t347 @t337 @t346 @t335)) % 0.60/0.80 (define @t349 () (@list @t8 @t329 @t328)) % 0.60/0.80 (define @t350 () (forall @t349 @t348)) % 0.60/0.80 (define @t351 () (tptp.a1 @t8)) % 0.60/0.80 (define @t352 () (tptp.b @t8)) % 0.60/0.80 (define @t353 () (forall @t38 (or @t115 (and @t352 @t351)))) % 0.60/0.80 (define @t354 () (or @t353 @t350)) % 0.60/0.80 (define @t355 () (lambda @t72 @t354)) % 0.60/0.80 (define @t356 () (or @t115 (_ @t355 @t8))) % 0.60/0.80 (define @t357 () (forall @t38 @t356)) % 0.60/0.80 (define @t358 () (or @t318 @t357)) % 0.60/0.80 (define @t359 () (lambda @t72 @t358)) % 0.60/0.80 (define @t360 () (or @t346 @t335)) % 0.60/0.80 (define @t361 () (or @t347 @t337)) % 0.60/0.80 (define @t362 () (or @t115 @t361 @t360)) % 0.60/0.80 (define @t363 () (forall @t349 @t362)) % 0.60/0.80 (define @t364 () (forall (@list @t329 @t328) @t362)) % 0.60/0.80 (define @t365 () (forall (@list @t328) @t360)) % 0.60/0.80 (define @t366 () (@var "BOUND_VARIABLE_8750" $$unsorted)) % 0.60/0.80 (define @t367 () (@list @t366)) % 0.60/0.80 (define @t368 () (forall (@list @t329) @t361)) % 0.60/0.80 (define @t369 () (@var "BOUND_VARIABLE_8760" $$unsorted)) % 0.60/0.80 (define @t370 () (@list @t369)) % 0.60/0.80 (define @t371 () (or @t115 @t368 @t365)) % 0.60/0.80 (define @t372 () (and (tptp.b2 @t366) (tptp.a3 @t366))) % 0.60/0.80 (define @t373 () (@list @t366)) % 0.60/0.80 (define @t374 () (forall @t373 (or (not (tptp.irel @t8 @t366)) @t372))) % 0.60/0.80 (define @t375 () (and (tptp.b1 @t369) (tptp.a2 @t369))) % 0.60/0.80 (define @t376 () (@list @t369)) % 0.60/0.80 (define @t377 () (forall @t376 (or (not (tptp.irel @t8 @t369)) @t375))) % 0.60/0.80 (define @t378 () (or @t115 @t377 @t374)) % 0.60/0.80 (define @t379 () (or @t377 @t374)) % 0.60/0.80 (define @t380 () (tptp.a3 @t8)) % 0.60/0.80 (define @t381 () (forall @t38 (or @t115 (and @t146 @t380)))) % 0.60/0.80 (define @t382 () (forall @t38 (or @t115 (and @t92 @t193)))) % 0.60/0.80 (define @t383 () (or @t382 @t381)) % 0.60/0.80 (define @t384 () (lambda @t72 @t383)) % 0.60/0.80 (define @t385 () (or @t115 (_ @t384 @t8))) % 0.60/0.80 (define @t386 () (forall @t38 @t385)) % 0.60/0.80 (define @t387 () (or @t353 @t386)) % 0.60/0.80 (define @t388 () (lambda @t72 @t387)) % 0.60/0.80 (define @t389 () (_ tptp.a3 @t8)) % 0.60/0.80 (define @t390 () (and @t163 @t389)) % 0.60/0.80 (define @t391 () (or @t115 @t390)) % 0.60/0.80 (define @t392 () (lambda @t72 (and @t165 @t71))) % 0.60/0.80 (define @t393 () (_ @t392 @t8)) % 0.60/0.80 (define @t394 () (or @t115 @t393)) % 0.60/0.80 (define @t395 () (forall @t38 @t394)) % 0.60/0.80 (define @t396 () (or @t382 @t395)) % 0.60/0.80 (define @t397 () (lambda @t72 @t396)) % 0.60/0.80 (define @t398 () (_ @t73 @t31)) % 0.60/0.80 (define @t399 () (and @t165 @t398)) % 0.60/0.80 (define @t400 () (lambda @t72 @t399)) % 0.60/0.80 (define @t401 () (_ @t50 @t31)) % 0.60/0.80 (define @t402 () (_ @t166 @t31)) % 0.60/0.80 (define @t403 () (and @t402 @t401)) % 0.60/0.80 (define @t404 () (lambda @t162 @t403)) % 0.60/0.80 (define @t405 () (and @t42 @t401)) % 0.60/0.80 (define @t406 () (lambda @t51 @t405)) % 0.60/0.80 (define @t407 () (and @t217 @t205)) % 0.60/0.80 (define @t408 () (or @t115 @t407)) % 0.60/0.80 (define @t409 () (lambda @t72 (and @t219 @t207))) % 0.60/0.80 (define @t410 () (_ @t409 @t8)) % 0.60/0.80 (define @t411 () (or @t115 @t410)) % 0.60/0.80 (define @t412 () (forall @t38 @t411)) % 0.60/0.80 (define @t413 () (or @t412 @t161)) % 0.60/0.80 (define @t414 () (lambda @t162 @t413)) % 0.60/0.80 (define @t415 () (_ @t208 @t31)) % 0.60/0.80 (define @t416 () (and @t219 @t415)) % 0.60/0.80 (define @t417 () (lambda @t72 @t416)) % 0.60/0.80 (define @t418 () (_ @t220 @t31)) % 0.60/0.80 (define @t419 () (and @t418 @t401)) % 0.60/0.80 (define @t420 () (lambda @t162 @t419)) % 0.60/0.80 (define @t421 () (_ tptp.a1 @t8)) % 0.60/0.80 (define @t422 () (_ tptp.b @t8)) % 0.60/0.80 (define @t423 () (and @t422 @t421)) % 0.60/0.80 (define @t424 () (or @t115 @t423)) % 0.60/0.80 (define @t425 () (_ tptp.a1 @t31)) % 0.60/0.80 (define @t426 () (_ tptp.b @t31)) % 0.60/0.80 (define @t427 () (lambda @t72 (and @t426 @t425))) % 0.60/0.80 (define @t428 () (_ @t427 @t8)) % 0.60/0.80 (define @t429 () (or @t115 @t428)) % 0.60/0.80 (define @t430 () (forall @t38 @t429)) % 0.60/0.80 (define @t431 () (or @t430 @t161)) % 0.60/0.80 (define @t432 () (lambda @t162 @t431)) % 0.60/0.80 (define @t433 () (lambda @t72 @t425)) % 0.60/0.80 (define @t434 () (_ @t433 @t31)) % 0.60/0.80 (define @t435 () (and @t426 @t434)) % 0.60/0.80 (define @t436 () (lambda @t72 @t435)) % 0.60/0.80 (define @t437 () (_ @t44 tptp.a1)) % 0.60/0.80 (define @t438 () (lambda @t72 @t426)) % 0.60/0.80 (define @t439 () (_ @t438 @t31)) % 0.60/0.80 (define @t440 () (and @t439 @t401)) % 0.60/0.80 (define @t441 () (lambda @t162 @t440)) % 0.60/0.80 (define @t442 () (_ @t44 tptp.b)) % 0.60/0.80 (define @t443 () (_ tptp.a @t8)) % 0.60/0.80 (define @t444 () (or @t115 @t443)) % 0.60/0.80 (define @t445 () (lambda @t72 (_ tptp.a @t31))) % 0.60/0.80 (define @t446 () (_ @t445 @t8)) % 0.60/0.80 (define @t447 () (or @t115 @t446)) % 0.60/0.80 (define @t448 () (forall @t38 @t447)) % 0.60/0.80 (define @t449 () (or @t448 @t161)) % 0.60/0.80 (define @t450 () (lambda @t162 @t449)) % 0.60/0.80 (define @t451 () (_ @t44 tptp.a)) % 0.60/0.80 (define @t452 () (_ @t36 @t22)) % 0.60/0.80 (define @t453 () (lambda @t234 (and @t452 (_ @t50 @t22)))) % 0.60/0.80 (define @t454 () (lambda @t241 (and @t452 @t27))) % 0.60/0.80 (define @t455 () (tptp.irel @t288 @t286)) % 0.60/0.80 (define @t456 () (tptp.a3 @t286)) % 0.60/0.80 (define @t457 () (tptp.b2 @t286)) % 0.60/0.80 (define @t458 () (and @t457 @t456)) % 0.60/0.80 (define @t459 () (not @t455)) % 0.60/0.80 (define @t460 () (tptp.a2 @t287)) % 0.60/0.80 (define @t461 () (tptp.b1 @t287)) % 0.60/0.80 (define @t462 () (and @t461 @t460)) % 0.60/0.80 (define @t463 () (tptp.irel @t288 @t287)) % 0.60/0.80 (define @t464 () (not @t463)) % 0.60/0.80 (define @t465 () (tptp.irel @t289 @t288)) % 0.60/0.80 (define @t466 () (not @t465)) % 0.60/0.80 (define @t467 () (@quantifiers_skolemize @t285 3)) % 0.60/0.80 (define @t468 () (tptp.a1 @t467)) % 0.60/0.80 (define @t469 () (tptp.b @t467)) % 0.60/0.80 (define @t470 () (and @t469 @t468)) % 0.60/0.80 (define @t471 () (tptp.irel @t289 @t467)) % 0.60/0.80 (define @t472 () (not @t471)) % 0.60/0.80 (define @t473 () (tptp.irel @t290 @t289)) % 0.60/0.80 (define @t474 () (not @t473)) % 0.60/0.80 (define @t475 () (@quantifiers_skolemize @t285 1)) % 0.60/0.80 (define @t476 () (tptp.a @t475)) % 0.60/0.80 (define @t477 () (tptp.irel @t290 @t475)) % 0.60/0.80 (define @t478 () (not @t477)) % 0.60/0.80 (define @t479 () (or @t478 @t476 @t474 @t472 @t470 @t466 @t464 @t462 @t459 @t458)) % 0.60/0.80 (define @t480 () (@list true)) % 0.60/0.80 (define @t481 () (@list @t479)) % 0.60/0.80 (define @t482 () (tptp.irel @t289 @t286)) % 0.60/0.80 (define @t483 () (or @t466 @t459 @t482)) % 0.60/0.80 (define @t484 () (@list false false false)) % 0.60/0.80 (define @t485 () (not (tptp.irel @t290 @t8))) % 0.60/0.80 (define @t486 () (forall @t38 (or @t485 @t92))) % 0.60/0.80 (define @t487 () (@quantifiers_skolemize @t486 0)) % 0.60/0.80 (define @t488 () (tptp.irel @t290 @t487)) % 0.60/0.80 (define @t489 () (tptp.b1 @t487)) % 0.60/0.80 (define @t490 () (not @t488)) % 0.60/0.80 (define @t491 () (or @t490 @t489)) % 0.60/0.80 (define @t492 () (tptp.irel @t290 @t467)) % 0.60/0.80 (define @t493 () (or @t474 @t472 @t492)) % 0.60/0.80 (define @t494 () (tptp.irel @t1 @t1)) % 0.60/0.80 (define @t495 () (@var "BOUND_VARIABLE_8628" $$unsorted)) % 0.60/0.80 (define @t496 () (tptp.b @t495)) % 0.60/0.80 (define @t497 () (not (tptp.irel @t47 @t495))) % 0.60/0.80 (define @t498 () (@var "BOUND_VARIABLE_8617" $$unsorted)) % 0.60/0.80 (define @t499 () (tptp.a @t498)) % 0.60/0.80 (define @t500 () (@var "BOUND_VARIABLE_8613" $$unsorted)) % 0.60/0.80 (define @t501 () (not (tptp.irel @t500 @t498))) % 0.60/0.80 (define @t502 () (@var "BOUND_VARIABLE_8615" $$unsorted)) % 0.60/0.80 (define @t503 () (tptp.b @t502)) % 0.60/0.80 (define @t504 () (not (tptp.irel @t500 @t502))) % 0.60/0.80 (define @t505 () (not (tptp.irel @t47 @t500))) % 0.60/0.80 (define @t506 () (or @t497 @t496)) % 0.60/0.80 (define @t507 () (or @t505 @t504 @t503 @t501 @t499)) % 0.60/0.80 (define @t508 () (or @t507 @t506)) % 0.60/0.80 (define @t509 () (forall (@list @t47 @t500 @t502 @t498 @t495) @t508)) % 0.60/0.80 (define @t510 () (forall (@list @t500 @t502 @t498 @t495) @t508)) % 0.60/0.80 (define @t511 () (forall (@list @t495) @t506)) % 0.60/0.80 (define @t512 () (forall (@list @t500 @t502 @t498) @t507)) % 0.60/0.80 (define @t513 () (@var "BOUND_VARIABLE_8587" $$unsorted)) % 0.60/0.80 (define @t514 () (@var "BOUND_VARIABLE_8581" $$unsorted)) % 0.60/0.80 (define @t515 () (or @t512 @t511)) % 0.60/0.80 (define @t516 () (forall @t38 (or @t93 @t352))) % 0.60/0.80 (define @t517 () (tptp.a @t513)) % 0.60/0.80 (define @t518 () (not (tptp.irel @t8 @t513))) % 0.60/0.80 (define @t519 () (tptp.b @t514)) % 0.60/0.80 (define @t520 () (not (tptp.irel @t8 @t514))) % 0.60/0.80 (define @t521 () (@list @t8 @t514 @t513)) % 0.60/0.80 (define @t522 () (or (forall @t521 (or @t93 @t520 @t519 @t518 @t517)) @t516)) % 0.60/0.80 (define @t523 () (forall @t38 (or @t115 @t352))) % 0.60/0.80 (define @t524 () (or @t115 @t520 @t519 @t518 @t517)) % 0.60/0.80 (define @t525 () (forall @t521 @t524)) % 0.60/0.80 (define @t526 () (lambda @t72 (or @t525 @t523))) % 0.60/0.80 (define @t527 () (_ @t526 @t47)) % 0.60/0.80 (define @t528 () (forall @t48 @t527)) % 0.60/0.80 (define @t529 () (or @t115 @t422)) % 0.60/0.80 (define @t530 () (_ @t438 @t8)) % 0.60/0.80 (define @t531 () (or @t115 @t530)) % 0.60/0.80 (define @t532 () (forall @t38 @t531)) % 0.60/0.80 (define @t533 () (or @t525 @t532)) % 0.60/0.80 (define @t534 () (lambda @t72 @t533)) % 0.60/0.80 (define @t535 () (or @t518 @t517)) % 0.60/0.80 (define @t536 () (or @t520 @t519)) % 0.60/0.80 (define @t537 () (or @t115 @t536 @t535)) % 0.60/0.80 (define @t538 () (forall @t521 @t537)) % 0.60/0.80 (define @t539 () (forall (@list @t514 @t513) @t537)) % 0.60/0.80 (define @t540 () (forall (@list @t513) @t535)) % 0.60/0.80 (define @t541 () (@var "BOUND_VARIABLE_8550" $$unsorted)) % 0.60/0.80 (define @t542 () (@list @t541)) % 0.60/0.80 (define @t543 () (forall (@list @t514) @t536)) % 0.60/0.80 (define @t544 () (@var "BOUND_VARIABLE_8558" $$unsorted)) % 0.60/0.80 (define @t545 () (@list @t544)) % 0.60/0.80 (define @t546 () (or @t115 @t543 @t540)) % 0.60/0.80 (define @t547 () (tptp.a @t541)) % 0.60/0.80 (define @t548 () (@list @t541)) % 0.60/0.80 (define @t549 () (forall @t548 (or (not (tptp.irel @t8 @t541)) @t547))) % 0.60/0.80 (define @t550 () (tptp.b @t544)) % 0.60/0.80 (define @t551 () (@list @t544)) % 0.60/0.80 (define @t552 () (forall @t551 (or (not (tptp.irel @t8 @t544)) @t550))) % 0.60/0.80 (define @t553 () (or @t115 @t552 @t549)) % 0.60/0.80 (define @t554 () (or @t552 @t549)) % 0.60/0.80 (define @t555 () (or @t523 @t318)) % 0.60/0.80 (define @t556 () (lambda @t72 @t555)) % 0.60/0.80 (define @t557 () (or @t115 (_ @t556 @t8))) % 0.60/0.80 (define @t558 () (forall @t38 @t557)) % 0.60/0.80 (define @t559 () (or @t558 @t161)) % 0.60/0.80 (define @t560 () (lambda @t162 @t559)) % 0.60/0.80 (define @t561 () (or @t523 @t448)) % 0.60/0.80 (define @t562 () (lambda @t72 @t561)) % 0.60/0.80 (define @t563 () (or @t532 @t161)) % 0.60/0.80 (define @t564 () (lambda @t162 @t563)) % 0.60/0.80 (define @t565 () (not @t492)) % 0.60/0.80 (define @t566 () (tptp.irel @t290 @t290)) % 0.60/0.80 (define @t567 () (not @t566)) % 0.60/0.80 (define @t568 () (or @t567 @t565 @t469 @t478 @t476 @t565 @t469)) % 0.60/0.80 (define @t569 () (@list true false)) % 0.60/0.80 (define @t570 () (forall @t38 (or @t485 @t352))) % 0.60/0.80 (define @t571 () (@quantifiers_skolemize @t570 0)) % 0.60/0.80 (define @t572 () (tptp.irel @t290 @t571)) % 0.60/0.80 (define @t573 () (tptp.b @t571)) % 0.60/0.80 (define @t574 () (not @t572)) % 0.60/0.80 (define @t575 () (or @t574 @t573)) % 0.60/0.80 (define @t576 () (or @t567 @t574 @t573 @t478 @t476 @t574 @t573)) % 0.60/0.80 (define @t577 () (not @t575)) % 0.60/0.80 (define @t578 () (not @t570)) % 0.60/0.80 (define @t579 () (@list false)) % 0.60/0.80 (define @t580 () (@var "BOUND_VARIABLE_8494" $$unsorted)) % 0.60/0.80 (define @t581 () (tptp.b1 @t580)) % 0.60/0.80 (define @t582 () (@var "BOUND_VARIABLE_8486" $$unsorted)) % 0.60/0.80 (define @t583 () (not (tptp.irel @t582 @t580))) % 0.60/0.80 (define @t584 () (@var "BOUND_VARIABLE_8492" $$unsorted)) % 0.60/0.80 (define @t585 () (tptp.a1 @t584)) % 0.60/0.80 (define @t586 () (@var "BOUND_VARIABLE_8488" $$unsorted)) % 0.60/0.80 (define @t587 () (not (tptp.irel @t586 @t584))) % 0.60/0.80 (define @t588 () (@var "BOUND_VARIABLE_8490" $$unsorted)) % 0.60/0.80 (define @t589 () (tptp.b1 @t588)) % 0.60/0.80 (define @t590 () (not (tptp.irel @t586 @t588))) % 0.60/0.80 (define @t591 () (not (tptp.irel @t582 @t586))) % 0.60/0.80 (define @t592 () (not (tptp.irel @t47 @t582))) % 0.60/0.80 (define @t593 () (not @t516)) % 0.60/0.80 (define @t594 () (or @t592 @t591 @t590 @t589 @t587 @t585 @t583 @t581)) % 0.60/0.80 (define @t595 () (or @t593 @t594)) % 0.60/0.80 (define @t596 () (forall (@list @t47 @t582 @t586 @t588 @t584 @t580) @t595)) % 0.60/0.80 (define @t597 () (@list @t582 @t586 @t588 @t584 @t580)) % 0.60/0.80 (define @t598 () (forall @t597 @t595)) % 0.60/0.80 (define @t599 () (forall @t597 @t594)) % 0.60/0.80 (define @t600 () (@var "BOUND_VARIABLE_8463" $$unsorted)) % 0.60/0.80 (define @t601 () (@var "BOUND_VARIABLE_8452" $$unsorted)) % 0.60/0.80 (define @t602 () (@var "BOUND_VARIABLE_8450" $$unsorted)) % 0.60/0.80 (define @t603 () (@var "BOUND_VARIABLE_8448" $$unsorted)) % 0.60/0.80 (define @t604 () (or @t593 @t599)) % 0.60/0.80 (define @t605 () (tptp.b1 @t600)) % 0.60/0.80 (define @t606 () (not (tptp.irel @t8 @t600))) % 0.60/0.80 (define @t607 () (tptp.a1 @t601)) % 0.60/0.80 (define @t608 () (not (tptp.irel @t603 @t601))) % 0.60/0.80 (define @t609 () (tptp.b1 @t602)) % 0.60/0.80 (define @t610 () (not (tptp.irel @t603 @t602))) % 0.60/0.80 (define @t611 () (not (tptp.irel @t8 @t603))) % 0.60/0.80 (define @t612 () (@list @t8 @t603 @t602 @t601 @t600)) % 0.60/0.80 (define @t613 () (or @t593 (forall @t612 (or @t93 @t611 @t610 @t609 @t608 @t607 @t606 @t605)))) % 0.60/0.80 (define @t614 () (or @t115 @t611 @t610 @t609 @t608 @t607 @t606 @t605)) % 0.60/0.80 (define @t615 () (not @t523)) % 0.60/0.80 (define @t616 () (lambda @t72 (or @t615 (forall @t612 @t614)))) % 0.60/0.80 (define @t617 () (_ @t616 @t47)) % 0.60/0.80 (define @t618 () (forall @t48 @t617)) % 0.60/0.80 (define @t619 () (or @t606 @t605)) % 0.60/0.80 (define @t620 () (or @t611 @t610 @t609 @t608 @t607)) % 0.60/0.80 (define @t621 () (or @t115 @t620 @t619)) % 0.60/0.80 (define @t622 () (forall @t612 @t621)) % 0.60/0.80 (define @t623 () (forall (@list @t603 @t602 @t601 @t600) @t621)) % 0.60/0.80 (define @t624 () (forall (@list @t600) @t619)) % 0.60/0.80 (define @t625 () (@var "BOUND_VARIABLE_8414" $$unsorted)) % 0.60/0.80 (define @t626 () (@list @t625)) % 0.60/0.80 (define @t627 () (forall (@list @t603 @t602 @t601) @t620)) % 0.60/0.80 (define @t628 () (@var "BOUND_VARIABLE_8388" $$unsorted)) % 0.60/0.80 (define @t629 () (@var "BOUND_VARIABLE_8382" $$unsorted)) % 0.60/0.80 (define @t630 () (@var "BOUND_VARIABLE_8422" $$unsorted)) % 0.60/0.80 (define @t631 () (or @t115 @t627 @t624)) % 0.60/0.80 (define @t632 () (tptp.b1 @t625)) % 0.60/0.80 (define @t633 () (@list @t625)) % 0.60/0.80 (define @t634 () (forall @t633 (or (not (tptp.irel @t8 @t625)) @t632))) % 0.60/0.80 (define @t635 () (tptp.a1 @t628)) % 0.60/0.80 (define @t636 () (not (tptp.irel @t630 @t628))) % 0.60/0.80 (define @t637 () (tptp.b1 @t629)) % 0.60/0.80 (define @t638 () (not (tptp.irel @t630 @t629))) % 0.60/0.80 (define @t639 () (@list @t630 @t629 @t628)) % 0.60/0.80 (define @t640 () (forall @t639 (or (not (tptp.irel @t8 @t630)) @t638 @t637 @t636 @t635))) % 0.60/0.80 (define @t641 () (or @t115 @t640 @t634)) % 0.60/0.80 (define @t642 () (or @t640 @t634)) % 0.60/0.80 (define @t643 () (not (tptp.irel @t8 @t628))) % 0.60/0.80 (define @t644 () (not (tptp.irel @t8 @t629))) % 0.60/0.80 (define @t645 () (or @t115 @t644 @t637 @t643 @t635)) % 0.60/0.80 (define @t646 () (@list @t8 @t629 @t628)) % 0.60/0.80 (define @t647 () (forall @t646 @t645)) % 0.60/0.80 (define @t648 () (or @t647 @t117)) % 0.60/0.80 (define @t649 () (lambda @t72 @t648)) % 0.60/0.80 (define @t650 () (or @t115 (_ @t649 @t8))) % 0.60/0.80 (define @t651 () (forall @t38 @t650)) % 0.60/0.80 (define @t652 () (or @t615 @t651)) % 0.60/0.80 (define @t653 () (lambda @t72 @t652)) % 0.60/0.80 (define @t654 () (or @t647 @t223)) % 0.60/0.80 (define @t655 () (lambda @t72 @t654)) % 0.60/0.80 (define @t656 () (or @t643 @t635)) % 0.60/0.80 (define @t657 () (or @t644 @t637)) % 0.60/0.80 (define @t658 () (or @t115 @t657 @t656)) % 0.60/0.80 (define @t659 () (forall @t646 @t658)) % 0.60/0.80 (define @t660 () (forall (@list @t629 @t628) @t658)) % 0.60/0.80 (define @t661 () (forall (@list @t628) @t656)) % 0.60/0.80 (define @t662 () (@var "BOUND_VARIABLE_8351" $$unsorted)) % 0.60/0.80 (define @t663 () (@list @t662)) % 0.60/0.80 (define @t664 () (forall (@list @t629) @t657)) % 0.60/0.80 (define @t665 () (@var "BOUND_VARIABLE_8359" $$unsorted)) % 0.60/0.80 (define @t666 () (@list @t665)) % 0.60/0.80 (define @t667 () (or @t115 @t664 @t661)) % 0.60/0.80 (define @t668 () (tptp.a1 @t662)) % 0.60/0.80 (define @t669 () (@list @t662)) % 0.60/0.80 (define @t670 () (forall @t669 (or (not (tptp.irel @t8 @t662)) @t668))) % 0.60/0.80 (define @t671 () (tptp.b1 @t665)) % 0.60/0.80 (define @t672 () (@list @t665)) % 0.60/0.80 (define @t673 () (forall @t672 (or (not (tptp.irel @t8 @t665)) @t671))) % 0.60/0.80 (define @t674 () (or @t115 @t673 @t670)) % 0.60/0.80 (define @t675 () (or @t673 @t670)) % 0.60/0.80 (define @t676 () (forall @t38 (or @t115 @t351))) % 0.60/0.80 (define @t677 () (or @t117 @t676)) % 0.60/0.80 (define @t678 () (lambda @t72 @t677)) % 0.60/0.80 (define @t679 () (or @t115 (_ @t678 @t8))) % 0.60/0.80 (define @t680 () (forall @t38 @t679)) % 0.60/0.80 (define @t681 () (or @t680 @t161)) % 0.60/0.80 (define @t682 () (lambda @t162 @t681)) % 0.60/0.80 (define @t683 () (or @t115 @t421)) % 0.60/0.80 (define @t684 () (_ @t433 @t8)) % 0.60/0.80 (define @t685 () (or @t115 @t684)) % 0.60/0.80 (define @t686 () (forall @t38 @t685)) % 0.60/0.80 (define @t687 () (or @t117 @t686)) % 0.60/0.80 (define @t688 () (lambda @t72 @t687)) % 0.60/0.80 (define @t689 () (or @t223 @t161)) % 0.60/0.80 (define @t690 () (lambda @t162 @t689)) % 0.60/0.80 (define @t691 () (not @t532)) % 0.60/0.80 (define @t692 () (or @t691 @t161)) % 0.60/0.80 (define @t693 () (lambda @t162 @t692)) % 0.60/0.80 (define @t694 () (or @t578 @t567 @t567 @t490 @t489 @t565 @t468 @t490 @t489)) % 0.60/0.80 (define @t695 () (not @t491)) % 0.60/0.80 (define @t696 () (not @t486)) % 0.60/0.80 (define @t697 () (tptp.irel @t289 @t287)) % 0.60/0.80 (define @t698 () (or @t466 @t464 @t697)) % 0.60/0.80 (define @t699 () (not @t697)) % 0.60/0.80 (define @t700 () (tptp.irel @t289 @t289)) % 0.60/0.80 (define @t701 () (not @t700)) % 0.60/0.80 (define @t702 () (or @t578 @t474 @t701 @t699 @t461 @t472 @t468 @t699 @t461)) % 0.60/0.80 (define @t703 () (not @t482)) % 0.60/0.80 (define @t704 () (or @t696 @t474 @t466 @t459 @t457 @t464 @t460 @t703 @t457)) % 0.60/0.80 (define @t705 () (forall @t48 @t69)) % 0.60/0.80 (assume @p1 @t5) % 0.60/0.80 (assume @p2 @t13) % 0.60/0.80 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 0.60/0.80 (assume @p4 (_ tptp.ivalid @t14)) % 0.60/0.80 (assume @p5 (_ tptp.ivalid (_ (_ tptp.iimplies @t17) (_ (_ tptp.ior (_ (_ tptp.ior @t15) @t16)) @t15)))) % 0.60/0.80 (assume @p6 (_ tptp.ivalid (_ (_ tptp.iimplies @t19) (_ (_ tptp.ior (_ (_ tptp.ior @t17) @t18)) @t17)))) % 0.60/0.80 (assume @p7 (_ tptp.ivalid (_ (_ tptp.ior (_ (_ tptp.ior @t19) @t20)) @t19))) % 0.60/0.80 (assume @p8 @t21) % 0.60/0.80 (assume @p9 true) % 0.60/0.80 (step @p10 (= tptp.mnot @t25) :rule refl :args (@t25)) % 0.60/0.80 (step @p11 (= tptp.mor @t29) :rule refl :args (@t29)) % 0.60/0.80 (step @p12 (= tptp.mand @t30) :rule refl :args (@t30)) % 0.60/0.80 (step @p13 (= tptp.mimplies @t35) :rule refl :args (@t35)) % 0.60/0.80 (step @p14 (= tptp.mbox_s4 @t41) :rule refl :args (@t41)) % 0.60/0.80 (step @p15 (= tptp.iatom @t44) :rule refl :args (@t44)) % 0.60/0.80 (step @p16 (= tptp.inot @t46) :rule refl :args (@t46)) % 0.60/0.80 (step @p17 (= tptp.itrue @t49) :rule refl :args (@t49)) % 0.60/0.80 (step @p18 (= tptp.iand @t52) :rule refl :args (@t52)) % 0.60/0.80 (step @p19 (= tptp.ior @t54) :rule refl :args (@t54)) % 0.60/0.80 (step @p20 (= tptp.iimplies @t55) :rule refl :args (@t55)) % 0.60/0.80 (step @p21 (= tptp.iimplied @t57) :rule refl :args (@t57)) % 0.60/0.80 (step @p22 (= tptp.iequiv @t58) :rule refl :args (@t58)) % 0.60/0.80 (step @p23 (= tptp.ixor @t59) :rule refl :args (@t59)) % 0.60/0.80 (step @p24 (= tptp.ivalid @t64) :rule refl :args (@t64)) % 0.60/0.80 (step @p25 (= tptp.isatisfiable @t65) :rule refl :args (@t65)) % 0.60/0.80 (step @p26 (= tptp.icountersatisfiable @t67) :rule refl :args (@t67)) % 0.60/0.80 (step @p27 (= tptp.iinvalid @t68) :rule refl :args (@t68)) % 0.60/0.80 (step @p28 :rule refl :args (@t69)) % 0.60/0.80 (step @p29 :rule refl :args (@t70)) % 0.60/0.80 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t70 @t69))) % 0.60/0.80 (step @p31 :rule symm :premises (@p30)) % 0.60/0.80 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.60/0.80 (step @p33 :rule cong :premises (@p32) :args ((forall @t48 @t70))) % 0.60/0.80 (step @p34 :rule beta-reduce :args ((= @t74 @t70))) % 0.60/0.80 (step @p35 :rule cong :premises (@p34) :args (@t75)) % 0.60/0.80 (step @p36 :rule trans :premises (@p35 @p33)) % 0.60/0.80 (step @p37 :rule beta-reduce :args ((= (_ @t77 @t73) @t75))) % 0.60/0.80 (step @p38 :rule trans :premises (@p37 @p36)) % 0.60/0.80 (step @p39 :rule beta-reduce :args ((= @t78 @t73))) % 0.60/0.80 (step @p40 :rule refl :args (@t77)) % 0.60/0.80 (step @p41 :rule ho_cong :premises (@p40 @p39)) % 0.60/0.80 (step @p42 :rule trans :premises (@p41 @p38)) % 0.60/0.80 (step @p43 :rule refl :args (tptp.a3)) % 0.60/0.80 (step @p44 :rule ho_cong :premises (@p15 @p43)) % 0.60/0.80 (step @p45 :rule refl :args (@t76)) % 0.60/0.80 (step @p46 :rule refl :args (@t61)) % 0.60/0.80 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t61 @t76))) % 0.60/0.80 (step @p48 :rule symm :premises (@p47)) % 0.60/0.80 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.60/0.80 (step @p50 :rule cong :premises (@p49) :args (@t62)) % 0.60/0.80 (step @p51 :rule cong :premises (@p50) :args (@t64)) % 0.60/0.80 (step @p52 :rule trans :premises (@p24 @p51)) % 0.60/0.80 (step @p53 :rule ho_cong :premises (@p52 @p44)) % 0.60/0.80 (step @p54 :rule trans :premises (@p53 @p42)) % 0.60/0.80 (step @p55 :rule eq_resolve :premises (@p4 @p54)) % 0.60/0.80 (step @p56 :rule aci_norm :args ((= @t96 (or @t94 @t91 @t90 @t89 @t88 @t86 @t84 @t82 @t80)))) % 0.60/0.80 (step @p57 :rule cong :premises (@p56) :args (@t97)) % 0.60/0.80 (step @p58 :rule quant-merge-prenex :args ((= (forall @t48 @t99) @t97))) % 0.60/0.80 (step @p59 :rule alpha_equiv :args (@t100 (@list @t81 @t85 @t87 @t83 @t79) (@list @t8 @t104 @t103 @t102 @t101))) % 0.60/0.80 (step @p60 :rule refl :args (@t94)) % 0.60/0.80 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t105)) % 0.60/0.80 (step @p62 :rule quant-miniscope-or :args ((= @t99 @t105))) % 0.60/0.80 (step @p63 :rule trans :premises (@p62 @p61)) % 0.60/0.80 (step @p64 :rule symm :premises (@p63)) % 0.60/0.80 (step @p65 :rule cong :premises (@p64) :args ((forall @t48 @t114))) % 0.60/0.80 (step @p66 :rule trans :premises (@p65 @p58)) % 0.60/0.80 (step @p67 :rule trans :premises (@p66 @p57)) % 0.60/0.80 (step @p68 :rule beta-reduce :args ((= @t120 @t114))) % 0.60/0.80 (step @p69 :rule cong :premises (@p68) :args (@t121)) % 0.60/0.80 (step @p70 :rule trans :premises (@p69 @p67)) % 0.60/0.80 (step @p71 :rule beta-reduce :args ((= (_ @t77 @t119) @t121))) % 0.60/0.80 (step @p72 :rule trans :premises (@p71 @p70)) % 0.60/0.80 (step @p73 :rule aci_norm :args ((= @t124 @t116))) % 0.60/0.80 (step @p74 :rule cong :premises (@p73) :args (@t125)) % 0.60/0.80 (step @p75 :rule quant-merge-prenex :args ((= (forall @t38 @t126) @t125))) % 0.60/0.80 (step @p76 :rule alpha_equiv :args (@t127 (@list @t101) @t129)) % 0.60/0.80 (step @p77 :rule alpha_equiv :args (@t130 (@list @t104 @t103 @t102) (@list @t133 @t132 @t131))) % 0.60/0.80 (step @p78 :rule refl :args (@t115)) % 0.60/0.80 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args (@t134)) % 0.60/0.80 (step @p80 :rule quant-miniscope-or :args ((= @t126 @t134))) % 0.60/0.80 (step @p81 :rule trans :premises (@p80 @p79)) % 0.60/0.80 (step @p82 :rule symm :premises (@p81)) % 0.60/0.80 (step @p83 :rule cong :premises (@p82) :args ((forall @t38 @t144))) % 0.60/0.80 (step @p84 :rule trans :premises (@p83 @p75)) % 0.60/0.80 (step @p85 :rule trans :premises (@p84 @p74)) % 0.60/0.80 (step @p86 :rule aci_norm :args ((= (or @t115 @t145) @t144))) % 0.60/0.80 (step @p87 :rule beta-reduce :args ((= (_ (lambda @t72 (or (forall @t142 (or (not (tptp.irel @t31 @t133)) @t141 @t140 @t139 @t138)) (forall @t136 (or (not (tptp.irel @t31 @t128)) @t135)))) @t8) @t145))) % 0.60/0.80 (step @p88 :rule refl :args (@t8)) % 0.60/0.80 (step @p89 :rule alpha_equiv :args (@t147 @t148 @t129)) % 0.60/0.80 (step @p90 :rule alpha_equiv :args (@t153 @t148 (@list @t133))) % 0.60/0.80 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t154)) % 0.60/0.80 (step @p92 :rule cong :premises (@p91) :args (@t155)) % 0.60/0.80 (step @p93 :rule ho_cong :premises (@p92 @p88)) % 0.60/0.80 (step @p94 :rule trans :premises (@p93 @p87)) % 0.60/0.80 (step @p95 :rule refl :args (@t115)) % 0.60/0.80 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t156)) % 0.60/0.80 (step @p97 :rule trans :premises (@p96 @p86)) % 0.60/0.80 (step @p98 :rule cong :premises (@p97) :args (@t157)) % 0.60/0.80 (step @p99 :rule trans :premises (@p98 @p85)) % 0.60/0.80 (step @p100 :rule refl :args (@t118)) % 0.60/0.80 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t158)) % 0.60/0.80 (step @p102 :rule cong :premises (@p101) :args (@t159)) % 0.60/0.80 (step @p103 :rule beta-reduce :args ((= (_ (lambda @t162 (or @t118 @t161)) @t155) @t159))) % 0.60/0.80 (step @p104 :rule trans :premises (@p103 @p102)) % 0.60/0.80 (step @p105 :rule refl :args (@t146)) % 0.60/0.80 (step @p106 :rule refl :args (@t163)) % 0.60/0.80 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t163 @t146))) % 0.60/0.80 (step @p108 :rule symm :premises (@p107)) % 0.60/0.80 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 0.60/0.80 (step @p110 :rule nary_cong :premises (@p78 @p109) :args (@t164)) % 0.60/0.80 (step @p111 :rule cong :premises (@p110) :args ((forall @t38 @t164))) % 0.60/0.80 (step @p112 :rule beta-reduce :args ((= @t167 @t163))) % 0.60/0.80 (step @p113 :rule nary_cong :premises (@p95 @p112) :args (@t168)) % 0.60/0.80 (step @p114 :rule cong :premises (@p113) :args (@t169)) % 0.60/0.80 (step @p115 :rule trans :premises (@p114 @p111)) % 0.60/0.80 (step @p116 :rule refl :args (@t153)) % 0.60/0.80 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t170)) % 0.60/0.80 (step @p118 :rule cong :premises (@p117) :args (@t171)) % 0.60/0.80 (step @p119 :rule beta-reduce :args ((= (_ (lambda @t162 (or @t153 @t161)) @t166) @t171))) % 0.60/0.80 (step @p120 :rule trans :premises (@p119 @p118)) % 0.60/0.80 (step @p121 :rule beta-reduce :args ((= @t172 @t166))) % 0.60/0.80 (step @p122 :rule refl :args (@t161)) % 0.60/0.80 (step @p123 :rule aci_norm :args ((= @t175 @t151))) % 0.60/0.80 (step @p124 :rule cong :premises (@p123) :args (@t176)) % 0.60/0.80 (step @p125 :rule quant-merge-prenex :args ((= (forall @t38 @t177) @t176))) % 0.60/0.80 (step @p126 :rule alpha_equiv :args (@t178 (@list @t131) @t180)) % 0.60/0.80 (step @p127 :rule alpha_equiv :args (@t181 (@list @t132) @t183)) % 0.60/0.80 (step @p128 :rule nary_cong :premises (@p78 @p127 @p126) :args (@t184)) % 0.60/0.80 (step @p129 :rule quant-miniscope-or :args ((= @t177 @t184))) % 0.60/0.80 (step @p130 :rule trans :premises (@p129 @p128)) % 0.60/0.80 (step @p131 :rule symm :premises (@p130)) % 0.60/0.80 (step @p132 :rule cong :premises (@p131) :args ((forall @t38 @t191))) % 0.60/0.80 (step @p133 :rule trans :premises (@p132 @p125)) % 0.60/0.80 (step @p134 :rule trans :premises (@p133 @p124)) % 0.60/0.80 (step @p135 :rule aci_norm :args ((= (or @t115 @t192) @t191))) % 0.60/0.80 (step @p136 :rule beta-reduce :args ((= (_ (lambda @t72 (or (forall @t189 (or (not (tptp.irel @t31 @t182)) @t188)) (forall @t186 (or (not (tptp.irel @t31 @t179)) @t185)))) @t8) @t192))) % 0.60/0.80 (step @p137 :rule alpha_equiv :args (@t194 @t148 @t180)) % 0.60/0.80 (step @p138 :rule alpha_equiv :args (@t147 @t148 @t183)) % 0.60/0.80 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t195)) % 0.60/0.80 (step @p140 :rule cong :premises (@p139) :args (@t196)) % 0.60/0.80 (step @p141 :rule ho_cong :premises (@p140 @p88)) % 0.60/0.80 (step @p142 :rule trans :premises (@p141 @p136)) % 0.60/0.80 (step @p143 :rule nary_cong :premises (@p95 @p142) :args (@t197)) % 0.60/0.80 (step @p144 :rule trans :premises (@p143 @p135)) % 0.60/0.80 (step @p145 :rule cong :premises (@p144) :args (@t198)) % 0.60/0.80 (step @p146 :rule trans :premises (@p145 @p134)) % 0.60/0.80 (step @p147 :rule nary_cong :premises (@p146 @p122) :args (@t199)) % 0.60/0.80 (step @p148 :rule cong :premises (@p147) :args (@t200)) % 0.60/0.80 (step @p149 :rule beta-reduce :args ((= (_ @t204 @t196) @t200))) % 0.60/0.80 (step @p150 :rule trans :premises (@p149 @p148)) % 0.60/0.80 (step @p151 :rule refl :args (@t193)) % 0.60/0.80 (step @p152 :rule refl :args (@t205)) % 0.60/0.80 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t205 @t193))) % 0.60/0.80 (step @p154 :rule symm :premises (@p153)) % 0.60/0.80 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.60/0.80 (step @p156 :rule nary_cong :premises (@p78 @p155) :args (@t206)) % 0.60/0.80 (step @p157 :rule cong :premises (@p156) :args ((forall @t38 @t206))) % 0.60/0.80 (step @p158 :rule beta-reduce :args ((= @t209 @t205))) % 0.60/0.80 (step @p159 :rule nary_cong :premises (@p95 @p158) :args (@t210)) % 0.60/0.80 (step @p160 :rule cong :premises (@p159) :args (@t211)) % 0.60/0.80 (step @p161 :rule trans :premises (@p160 @p157)) % 0.60/0.80 (step @p162 :rule refl :args (@t147)) % 0.60/0.80 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t212)) % 0.60/0.80 (step @p164 :rule cong :premises (@p163) :args (@t213)) % 0.60/0.80 (step @p165 :rule beta-reduce :args ((= (_ (lambda @t162 (or @t147 @t161)) @t208) @t213))) % 0.60/0.80 (step @p166 :rule trans :premises (@p165 @p164)) % 0.60/0.80 (step @p167 :rule beta-reduce :args ((= @t214 @t208))) % 0.60/0.80 (step @p168 :rule nary_cong :premises (@p115 @p122) :args (@t215)) % 0.60/0.80 (step @p169 :rule cong :premises (@p168) :args (@t216)) % 0.60/0.80 (step @p170 :rule beta-reduce :args ((= (_ @t204 @t166) @t216))) % 0.60/0.80 (step @p171 :rule trans :premises (@p170 @p169)) % 0.60/0.80 (step @p172 :rule refl :args (@t204)) % 0.60/0.80 (step @p173 :rule ho_cong :premises (@p172 @p121)) % 0.60/0.80 (step @p174 :rule trans :premises (@p173 @p171)) % 0.60/0.80 (step @p175 :rule ho_cong :premises (@p174 @p167)) % 0.60/0.80 (step @p176 :rule trans :premises (@p175 @p166)) % 0.60/0.80 (step @p177 :rule ho_cong :premises (@p172 @p176)) % 0.60/0.80 (step @p178 :rule trans 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@t696) % 0.60/0.80 (step @p884 :rule skolemize :premises (@p926)) % 0.60/0.80 (step-pop @p927 :rule scope :premises (@p884)) % 0.60/0.80 (step @p885 :rule process_scope :premises (@p927) :args (@t695)) % 0.60/0.80 (step @p887 :rule implies_elim :premises (@p885)) % 0.60/0.80 (step @p888 :rule eq_resolve :premises (@p887 @p882)) % 0.60/0.80 (step @p889 :rule chain_m_resolution :premises (@p888 @p879) :args (@t486 @t579 (@list @t491))) % 0.60/0.80 (step @p890 :rule instantiate :premises (@p874) :args ((@list @t290 @t289 @t289 @t287 @t467 @t287))) % 0.60/0.80 (step @p891 :rule instantiate :premises (@p343) :args ((@list @t289 @t288 @t287))) % 0.60/0.80 (step @p892 :rule bool-double-not-elim :args (@t463)) % 0.60/0.80 (step @p893 :rule nary_cong :premises (@p586 @p892) :args ((or @t479 (not @t464)))) % 0.60/0.80 (step @p894 :rule cnf_or_neg :args (@t479 6)) % 0.60/0.80 (step @p895 :rule eq_resolve :premises (@p894 @p893)) % 0.60/0.80 (step @p896 :rule reordering :premises (@p895) :args ((or @t463 @t479))) % 0.60/0.80 (step @p897 :rule chain_m_resolution :premises (@p896 @p584) :args (@t463 @t480 @t481)) % 0.60/0.80 (step @p898 :rule cnf_or_pos :args (@t698)) % 0.60/0.80 (step @p899 :rule reordering :premises (@p898) :args ((or @t466 @t464 @t697 (not @t698)))) % 0.60/0.80 (step @p900 :rule chain_m_resolution :premises (@p899 @p597 @p897 @p891) :args (@t697 @t484 (@list @t465 @t463 @t698))) % 0.60/0.80 (step @p901 :rule instantiate :premises (@p630) :args ((@list @t289))) % 0.60/0.80 (step @p902 :rule cnf_or_pos :args (@t702)) % 0.60/0.80 (step @p903 :rule factoring :premises (@p902)) % 0.60/0.80 (step @p904 :rule reordering :premises (@p903) :args ((or @t474 @t472 @t468 @t461 @t578 @t701 @t699 (not @t702)))) % 0.60/0.80 (step @p905 :rule chain_m_resolution :premises (@p904 @p620 @p614 @p730 @p752 @p901 @p900 @p890) :args (@t461 (@list false false true false false false false) (@list @t473 @t471 @t468 @t570 @t700 @t697 @t702))) % 0.60/0.80 (step @p906 :rule cnf_or_neg :args (@t479 7)) % 0.60/0.80 (step @p907 :rule chain_m_resolution :premises (@p906 @p584) :args ((not @t462) @t480 @t481)) % 0.60/0.80 (step @p908 :rule cnf_and_neg :args (@t462)) % 0.60/0.80 (step @p909 :rule chain_m_resolution :premises (@p908 @p907 @p905) :args ((not @t460) @t569 (@list @t462 @t461))) % 0.60/0.80 (step @p910 :rule cnf_or_pos :args (@t704)) % 0.60/0.80 (step @p911 :rule factoring :premises (@p910)) % 0.60/0.80 (step @p912 :rule reordering :premises (@p911) :args ((or @t474 @t466 @t464 @t460 @t459 @t457 @t696 @t703 (not @t704)))) % 0.60/0.80 (step @p913 :rule chain_m_resolution :premises (@p912 @p620 @p597 @p897 @p909 @p591 @p889 @p600 @p321) :args (@t457 (@list false false false true false false false false) (@list @t473 @t465 @t463 @t460 @t455 @t486 @t482 @t704))) % 0.60/0.80 (step @p914 :rule cnf_or_neg :args (@t479 9)) % 0.60/0.80 (step @p915 :rule chain_m_resolution :premises (@p914 @p584) :args ((not @t458) @t480 @t481)) % 0.60/0.80 (step @p916 :rule cnf_and_neg :args (@t458)) % 0.60/0.80 (step @p917 :rule chain_m_resolution :premises (@p916 @p915 @p913) :args ((not @t456) @t569 (@list @t458 @t457))) % 0.60/0.80 (assume-push @p928 @t705) % 0.60/0.80 (step @p919 :rule instantiate :premises (@p55) :args ((@list @t286))) % 0.60/0.80 (step-pop @p929 :rule scope :premises (@p919)) % 0.60/0.80 (step @p920 :rule process_scope :premises (@p929) :args (@t456)) % 0.60/0.80 (step @p922 :rule implies_elim :premises (@p920)) % 0.60/0.80 (step @p923 false :rule chain_m_resolution :premises (@p922 @p917 @p55) :args (false @t569 (@list @t456 @t705))) % 0.60/0.80 ) % 0.60/0.80 % SZS output end Proof % 0.60/0.80 % cvc5 exiting %------------------------------------------------------------------------------