%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO068^4.010 : 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 : n010.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 09:11:56 AM UTC 2026 % Result : Theorem 0.52s 0.78s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO068^4.010 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:57:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.52/0.78 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.78 % SZS status Theorem % 0.52/0.78 % SZS output start Proof % 0.52/0.78 ( % 0.52/0.78 (declare-sort $$unsorted 0) % 0.52/0.78 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p9 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p8 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p3 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p10 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p2 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p0 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p1 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p4 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p5 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p6 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.p7 (-> $$unsorted Bool)) % 0.52/0.78 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.52/0.78 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.52/0.78 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.52/0.78 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.52/0.78 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.irel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.52/0.78 (define tptp.iatom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 0.52/0.78 (define tptp.inot () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 _let_2)) _let_1))))) % 0.52/0.78 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.52/0.78 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.52/0.78 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.52/0.78 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.52/0.78 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.52/0.78 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iand (_ (_ tptp.iimplies _let_2) _let_3)) (_ (_ tptp.iimplies _let_3) _let_2)) _let_1)))))) % 0.52/0.78 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.52/0.78 (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)))))) % 0.52/0.78 (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)))))) % 0.52/0.78 (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))))))) % 0.52/0.78 (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))))))) % 0.52/0.78 (define @t1 () (@var "X" $$unsorted)) % 0.52/0.78 (define @t2 () (_ tptp.irel @t1)) % 0.52/0.78 (define @t3 () (_ @t2 @t1)) % 0.52/0.78 (define @t4 () (@list @t1)) % 0.52/0.78 (define @t5 () (forall @t4 @t3)) % 0.52/0.78 (define @t6 () (@var "Z" $$unsorted)) % 0.52/0.78 (define @t7 () (@var "Y" $$unsorted)) % 0.52/0.78 (define @t8 () (_ @t2 @t7)) % 0.52/0.78 (define @t9 () (_ tptp.iatom tptp.p10)) % 0.52/0.78 (define @t10 () (_ tptp.iatom tptp.p0)) % 0.52/0.78 (define @t11 () (_ tptp.iatom tptp.p1)) % 0.52/0.78 (define @t12 () (_ tptp.iimplies @t11)) % 0.52/0.78 (define @t13 () (_ tptp.iatom tptp.p2)) % 0.52/0.78 (define @t14 () (_ tptp.iimplies @t13)) % 0.52/0.78 (define @t15 () (_ tptp.iatom tptp.p3)) % 0.52/0.78 (define @t16 () (_ tptp.iimplies @t15)) % 0.52/0.78 (define @t17 () (_ tptp.iatom tptp.p4)) % 0.52/0.78 (define @t18 () (_ tptp.iimplies @t17)) % 0.52/0.78 (define @t19 () (_ tptp.iatom tptp.p5)) % 0.52/0.78 (define @t20 () (_ tptp.iimplies @t19)) % 0.52/0.78 (define @t21 () (_ tptp.iatom tptp.p6)) % 0.52/0.78 (define @t22 () (_ tptp.iimplies @t21)) % 0.52/0.78 (define @t23 () (_ tptp.iatom tptp.p7)) % 0.52/0.78 (define @t24 () (_ tptp.iimplies @t23)) % 0.52/0.78 (define @t25 () (_ tptp.iatom tptp.p8)) % 0.52/0.78 (define @t26 () (_ tptp.iimplies @t25)) % 0.52/0.78 (define @t27 () (_ tptp.iatom tptp.p9)) % 0.52/0.78 (define @t28 () (_ tptp.iimplies @t27)) % 0.52/0.78 (define @t29 () (_ tptp.iimplies @t9)) % 0.52/0.78 (define @t30 () (not (_ tptp.ivalid @t10))) % 0.52/0.78 (define @t31 () (@var "U" $$unsorted)) % 0.52/0.78 (define @t32 () (@var "X" (-> $$unsorted Bool))) % 0.52/0.78 (define @t33 () (_ @t32 @t31)) % 0.52/0.78 (define @t34 () (lambda (@list @t32 @t31) (not @t33))) % 0.52/0.78 (define @t35 () (@var "Y" (-> $$unsorted Bool))) % 0.52/0.78 (define @t36 () (_ @t35 @t31)) % 0.52/0.78 (define @t37 () (@list @t32 @t35 @t31)) % 0.52/0.78 (define @t38 () (lambda @t37 (or @t33 @t36))) % 0.52/0.78 (define @t39 () (lambda @t37 (and @t33 @t36))) % 0.52/0.78 (define @t40 () (@var "__flatten_var_0" $$unsorted)) % 0.52/0.78 (define @t41 () (@var "V" (-> $$unsorted Bool))) % 0.52/0.78 (define @t42 () (@var "U" (-> $$unsorted Bool))) % 0.52/0.78 (define @t43 () (@list @t42 @t41 @t40)) % 0.52/0.78 (define @t44 () (lambda @t43 (_ (_ (_ tptp.mor (_ tptp.mnot @t42)) @t41) @t40))) % 0.52/0.78 (define @t45 () (@var "P" (-> $$unsorted Bool))) % 0.52/0.78 (define @t46 () (_ @t45 @t7)) % 0.52/0.78 (define @t47 () (@list @t7)) % 0.52/0.78 (define @t48 () (forall @t47 (=> @t8 @t46))) % 0.52/0.78 (define @t49 () (@list @t45 @t1)) % 0.52/0.78 (define @t50 () (lambda @t49 @t48)) % 0.52/0.78 (define @t51 () (@list @t45 @t40)) % 0.52/0.78 (define @t52 () (lambda @t51 (_ @t45 @t40))) % 0.52/0.78 (define @t53 () (_ tptp.mbox_s4 @t45)) % 0.52/0.78 (define @t54 () (lambda @t51 (_ (_ tptp.mnot @t53) @t40))) % 0.52/0.78 (define @t55 () (@var "W" $$unsorted)) % 0.52/0.78 (define @t56 () (@list @t55)) % 0.52/0.78 (define @t57 () (lambda @t56 true)) % 0.52/0.78 (define @t58 () (@var "Q" (-> $$unsorted Bool))) % 0.52/0.78 (define @t59 () (@list @t45 @t58 @t40)) % 0.52/0.78 (define @t60 () (lambda @t59 (_ (_ (_ tptp.mand @t45) @t58) @t40))) % 0.52/0.78 (define @t61 () (_ tptp.mbox_s4 @t58)) % 0.52/0.78 (define @t62 () (lambda @t59 (_ (_ (_ tptp.mor @t53) @t61) @t40))) % 0.52/0.78 (define @t63 () (lambda @t59 (_ (_ (_ tptp.mimplies @t53) @t61) @t40))) % 0.52/0.78 (define @t64 () (_ (_ tptp.iimplies @t58) @t45)) % 0.52/0.78 (define @t65 () (lambda @t59 (_ @t64 @t40))) % 0.52/0.78 (define @t66 () (lambda @t59 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t45) @t58)) @t64) @t40))) % 0.52/0.78 (define @t67 () (lambda @t59 (_ (_ tptp.inot (_ (_ tptp.iequiv @t45) @t58)) @t40))) % 0.52/0.78 (define @t68 () (@var "Phi" (-> $$unsorted Bool))) % 0.52/0.78 (define @t69 () (_ @t68 @t55)) % 0.52/0.78 (define @t70 () (forall @t56 @t69)) % 0.52/0.78 (define @t71 () (@list @t68)) % 0.52/0.78 (define @t72 () (lambda @t71 @t70)) % 0.52/0.78 (define @t73 () (lambda @t71 (exists @t56 @t69))) % 0.52/0.78 (define @t74 () (not @t69)) % 0.52/0.78 (define @t75 () (lambda @t71 (exists @t56 @t74))) % 0.52/0.78 (define @t76 () (lambda @t71 (forall @t56 @t74))) % 0.52/0.78 (define @t77 () (tptp.p10 @t55)) % 0.52/0.78 (define @t78 () (_ tptp.p10 @t55)) % 0.52/0.78 (define @t79 () (@list @t40)) % 0.52/0.78 (define @t80 () (lambda @t79 (_ tptp.p10 @t40))) % 0.52/0.78 (define @t81 () (_ @t80 @t55)) % 0.52/0.78 (define @t82 () (forall @t56 @t81)) % 0.52/0.78 (define @t83 () (_ @t68 @t55)) % 0.52/0.78 (define @t84 () (lambda @t71 (forall @t56 @t83))) % 0.52/0.78 (define @t85 () (tptp.p10 @t7)) % 0.52/0.78 (define @t86 () (tptp.p0 @t55)) % 0.52/0.78 (define @t87 () (@quantifiers_skolemize (forall @t56 @t86) 0)) % 0.52/0.78 (define @t88 () (not (tptp.irel @t87 @t7))) % 0.52/0.78 (define @t89 () (forall @t47 (or @t88 @t85))) % 0.52/0.78 (define @t90 () (@list @t7)) % 0.52/0.78 (define @t91 () (@var "BOUND_VARIABLE_9140" $$unsorted)) % 0.52/0.78 (define @t92 () (@list @t91)) % 0.52/0.78 (define @t93 () (tptp.irel @t1 @t1)) % 0.52/0.78 (define @t94 () (tptp.p9 @t7)) % 0.52/0.78 (define @t95 () (forall @t47 (or @t88 @t94))) % 0.52/0.78 (define @t96 () (@var "BOUND_VARIABLE_9031" $$unsorted)) % 0.52/0.78 (define @t97 () (@list @t96)) % 0.52/0.78 (define @t98 () (tptp.p8 @t7)) % 0.52/0.78 (define @t99 () (forall @t47 (or @t88 @t98))) % 0.52/0.78 (define @t100 () (@var "BOUND_VARIABLE_8919" $$unsorted)) % 0.52/0.78 (define @t101 () (@list @t100)) % 0.52/0.78 (define @t102 () (tptp.p7 @t7)) % 0.52/0.78 (define @t103 () (forall @t47 (or @t88 @t102))) % 0.52/0.78 (define @t104 () (@var "BOUND_VARIABLE_8807" $$unsorted)) % 0.52/0.78 (define @t105 () (@list @t104)) % 0.52/0.78 (define @t106 () (tptp.p6 @t7)) % 0.52/0.78 (define @t107 () (forall @t47 (or @t88 @t106))) % 0.52/0.78 (define @t108 () (@var "BOUND_VARIABLE_8695" $$unsorted)) % 0.52/0.78 (define @t109 () (@list @t108)) % 0.52/0.78 (define @t110 () (tptp.p5 @t7)) % 0.52/0.78 (define @t111 () (forall @t47 (or @t88 @t110))) % 0.52/0.78 (define @t112 () (@var "BOUND_VARIABLE_8583" $$unsorted)) % 0.52/0.78 (define @t113 () (@list @t112)) % 0.52/0.78 (define @t114 () (tptp.p4 @t7)) % 0.52/0.78 (define @t115 () (forall @t47 (or @t88 @t114))) % 0.52/0.78 (define @t116 () (@var "BOUND_VARIABLE_8471" $$unsorted)) % 0.52/0.78 (define @t117 () (@list @t116)) % 0.52/0.78 (define @t118 () (tptp.p3 @t7)) % 0.52/0.78 (define @t119 () (forall @t47 (or @t88 @t118))) % 0.52/0.78 (define @t120 () (@var "BOUND_VARIABLE_8359" $$unsorted)) % 0.52/0.78 (define @t121 () (@list @t120)) % 0.52/0.78 (define @t122 () (tptp.p2 @t7)) % 0.52/0.78 (define @t123 () (forall @t47 (or @t88 @t122))) % 0.52/0.78 (define @t124 () (@var "BOUND_VARIABLE_8247" $$unsorted)) % 0.52/0.78 (define @t125 () (@list @t124)) % 0.52/0.78 (define @t126 () (tptp.p1 @t7)) % 0.52/0.78 (define @t127 () (forall @t47 (or @t88 @t126))) % 0.52/0.78 (define @t128 () (@var "BOUND_VARIABLE_8133" $$unsorted)) % 0.52/0.78 (define @t129 () (@list @t128)) % 0.52/0.78 (define @t130 () (_ tptp.p0 @t55)) % 0.52/0.78 (define @t131 () (lambda @t79 (_ tptp.p0 @t40))) % 0.52/0.78 (define @t132 () (_ @t131 @t55)) % 0.52/0.78 (define @t133 () (forall @t56 @t132)) % 0.52/0.78 (define @t134 () (_ @t52 tptp.p0)) % 0.52/0.78 (define @t135 () (@var "BOUND_VARIABLE_8185" $$unsorted)) % 0.52/0.78 (define @t136 () (tptp.p0 @t135)) % 0.52/0.78 (define @t137 () (@var "BOUND_VARIABLE_8183" $$unsorted)) % 0.52/0.78 (define @t138 () (not (tptp.irel @t137 @t135))) % 0.52/0.78 (define @t139 () (tptp.p1 @t128)) % 0.52/0.78 (define @t140 () (@list @t128)) % 0.52/0.78 (define @t141 () (not (forall @t140 (or (not (tptp.irel @t137 @t128)) @t139)))) % 0.52/0.78 (define @t142 () (not (tptp.irel @t55 @t137))) % 0.52/0.78 (define @t143 () (not (tptp.irel @t55 @t7))) % 0.52/0.78 (define @t144 () (not (forall @t47 (or @t143 @t126)))) % 0.52/0.78 (define @t145 () (or @t142 @t141 @t138 @t136)) % 0.52/0.78 (define @t146 () (or @t144 @t145)) % 0.52/0.78 (define @t147 () (forall (@list @t55 @t137 @t135) @t146)) % 0.52/0.78 (define @t148 () (@list @t137 @t135)) % 0.52/0.78 (define @t149 () (forall @t148 @t146)) % 0.52/0.78 (define @t150 () (forall @t148 @t145)) % 0.52/0.79 (define @t151 () (@var "BOUND_VARIABLE_8158" $$unsorted)) % 0.52/0.79 (define @t152 () (or @t144 @t150)) % 0.52/0.79 (define @t153 () (tptp.p0 @t151)) % 0.52/0.79 (define @t154 () (not (tptp.irel @t7 @t151))) % 0.52/0.79 (define @t155 () (not (forall @t140 (or (not (tptp.irel @t7 @t128)) @t139)))) % 0.52/0.79 (define @t156 () (@list @t7 @t151)) % 0.52/0.79 (define @t157 () (or @t144 (forall @t156 (or @t143 @t155 @t154 @t153)))) % 0.52/0.79 (define @t158 () (not (tptp.irel @t40 @t7))) % 0.52/0.79 (define @t159 () (or @t158 @t155 @t154 @t153)) % 0.52/0.79 (define @t160 () (forall @t47 (or @t158 @t126))) % 0.52/0.79 (define @t161 () (not @t160)) % 0.52/0.79 (define @t162 () (lambda @t79 (or @t161 (forall @t156 @t159)))) % 0.52/0.79 (define @t163 () (_ @t162 @t55)) % 0.52/0.79 (define @t164 () (forall @t56 @t163)) % 0.52/0.79 (define @t165 () (or @t154 @t153)) % 0.52/0.79 (define @t166 () (or @t158 @t155 @t165)) % 0.52/0.79 (define @t167 () (forall @t156 @t166)) % 0.52/0.79 (define @t168 () (@list @t151)) % 0.52/0.79 (define @t169 () (forall @t168 @t166)) % 0.52/0.79 (define @t170 () (forall @t168 @t165)) % 0.52/0.79 (define @t171 () (@var "BOUND_VARIABLE_8125" $$unsorted)) % 0.52/0.79 (define @t172 () (@list @t171)) % 0.52/0.79 (define @t173 () (or @t158 @t155 @t170)) % 0.52/0.79 (define @t174 () (tptp.p0 @t171)) % 0.52/0.79 (define @t175 () (@list @t171)) % 0.52/0.79 (define @t176 () (forall @t175 (or (not (tptp.irel @t7 @t171)) @t174))) % 0.52/0.79 (define @t177 () (or @t158 @t155 @t176)) % 0.52/0.79 (define @t178 () (or @t155 @t176)) % 0.52/0.79 (define @t179 () (tptp.p0 @t7)) % 0.52/0.79 (define @t180 () (forall @t47 (or @t158 @t179))) % 0.52/0.79 (define @t181 () (or @t161 @t180)) % 0.52/0.79 (define @t182 () (lambda @t79 @t181)) % 0.52/0.79 (define @t183 () (or @t158 (_ @t182 @t7))) % 0.52/0.79 (define @t184 () (forall @t47 @t183)) % 0.52/0.79 (define @t185 () (or @t161 @t184)) % 0.52/0.79 (define @t186 () (lambda @t79 @t185)) % 0.52/0.79 (define @t187 () (_ @t58 @t7)) % 0.52/0.79 (define @t188 () (forall @t47 (or @t158 @t187))) % 0.52/0.79 (define @t189 () (@list @t58 @t40)) % 0.52/0.79 (define @t190 () (lambda @t189 (or @t161 @t188))) % 0.52/0.79 (define @t191 () (_ tptp.p0 @t7)) % 0.52/0.79 (define @t192 () (or @t158 @t191)) % 0.52/0.79 (define @t193 () (_ @t131 @t7)) % 0.52/0.79 (define @t194 () (or @t158 @t193)) % 0.52/0.79 (define @t195 () (forall @t47 @t194)) % 0.52/0.79 (define @t196 () (or @t161 @t195)) % 0.52/0.79 (define @t197 () (lambda @t79 @t196)) % 0.52/0.79 (define @t198 () (_ tptp.p1 @t7)) % 0.52/0.79 (define @t199 () (or @t158 @t198)) % 0.52/0.79 (define @t200 () (lambda @t79 (_ tptp.p1 @t40))) % 0.52/0.79 (define @t201 () (_ @t200 @t7)) % 0.52/0.79 (define @t202 () (or @t158 @t201)) % 0.52/0.79 (define @t203 () (forall @t47 @t202)) % 0.52/0.79 (define @t204 () (not @t203)) % 0.52/0.79 (define @t205 () (or @t204 @t188)) % 0.52/0.79 (define @t206 () (lambda @t189 @t205)) % 0.52/0.79 (define @t207 () (_ @t45 @t7)) % 0.52/0.79 (define @t208 () (forall @t47 (or @t158 @t207))) % 0.52/0.79 (define @t209 () (not @t208)) % 0.52/0.79 (define @t210 () (or @t209 @t188)) % 0.52/0.79 (define @t211 () (lambda @t59 @t210)) % 0.52/0.79 (define @t212 () (tptp.irel @t1 @t7)) % 0.52/0.79 (define @t213 () (not @t212)) % 0.52/0.79 (define @t214 () (lambda @t4 (forall @t47 (or @t213 @t187)))) % 0.52/0.79 (define @t215 () (_ @t214 @t40)) % 0.52/0.79 (define @t216 () (or @t209 @t215)) % 0.52/0.79 (define @t217 () (lambda @t79 @t216)) % 0.52/0.79 (define @t218 () (_ @t41 @t40)) % 0.52/0.79 (define @t219 () (@list @t41 @t40)) % 0.52/0.79 (define @t220 () (forall @t47 (or @t213 @t207))) % 0.52/0.79 (define @t221 () (lambda @t49 @t220)) % 0.52/0.79 (define @t222 () (lambda @t4 @t220)) % 0.52/0.79 (define @t223 () (_ @t222 @t40)) % 0.52/0.79 (define @t224 () (not @t223)) % 0.52/0.79 (define @t225 () (or @t224 @t218)) % 0.52/0.79 (define @t226 () (lambda @t219 @t225)) % 0.52/0.79 (define @t227 () (or (not (_ @t42 @t40)) @t218)) % 0.52/0.79 (define @t228 () (lambda @t43 @t227)) % 0.52/0.79 (define @t229 () (not @t8)) % 0.52/0.79 (define @t230 () (or @t229 @t46)) % 0.52/0.79 (define @t231 () (not (_ @t42 @t31))) % 0.52/0.79 (define @t232 () (@list @t31)) % 0.52/0.79 (define @t233 () (lambda @t232 (or @t231 (_ @t41 @t31)))) % 0.52/0.79 (define @t234 () (@list @t35 @t31)) % 0.52/0.79 (define @t235 () (lambda @t232 @t231)) % 0.52/0.79 (define @t236 () (_ @t235 @t31)) % 0.52/0.79 (define @t237 () (or @t236 @t36)) % 0.52/0.79 (define @t238 () (lambda @t234 @t237)) % 0.52/0.79 (define @t239 () (tptp.p0 @t87)) % 0.52/0.79 (define @t240 () (tptp.irel @t87 @t87)) % 0.52/0.79 (define @t241 () (not @t240)) % 0.52/0.79 (define @t242 () (forall @t140 (or (not (tptp.irel @t87 @t128)) @t139))) % 0.52/0.79 (define @t243 () (not @t242)) % 0.52/0.79 (define @t244 () (not @t127)) % 0.52/0.79 (define @t245 () (or @t244 @t241 @t243 @t241 @t239)) % 0.52/0.79 (define @t246 () (@quantifiers_skolemize @t127 0)) % 0.52/0.79 (define @t247 () (tptp.irel @t87 @t246)) % 0.52/0.79 (define @t248 () (tptp.p1 @t246)) % 0.52/0.79 (define @t249 () (not @t247)) % 0.52/0.79 (define @t250 () (or @t249 @t248)) % 0.52/0.79 (define @t251 () (@list true)) % 0.52/0.79 (define @t252 () (@list @t250)) % 0.52/0.79 (define @t253 () (@var "BOUND_VARIABLE_8297" $$unsorted)) % 0.52/0.79 (define @t254 () (tptp.p1 @t253)) % 0.52/0.79 (define @t255 () (@var "BOUND_VARIABLE_8295" $$unsorted)) % 0.52/0.79 (define @t256 () (not (tptp.irel @t255 @t253))) % 0.52/0.79 (define @t257 () (tptp.p2 @t124)) % 0.52/0.79 (define @t258 () (@list @t124)) % 0.52/0.79 (define @t259 () (not (forall @t258 (or (not (tptp.irel @t255 @t124)) @t257)))) % 0.52/0.79 (define @t260 () (not (tptp.irel @t55 @t255))) % 0.52/0.79 (define @t261 () (not (forall @t47 (or @t143 @t122)))) % 0.52/0.79 (define @t262 () (or @t260 @t259 @t256 @t254)) % 0.52/0.79 (define @t263 () (or @t261 @t262)) % 0.52/0.79 (define @t264 () (forall (@list @t55 @t255 @t253) @t263)) % 0.52/0.79 (define @t265 () (@list @t255 @t253)) % 0.52/0.79 (define @t266 () (forall @t265 @t263)) % 0.52/0.79 (define @t267 () (forall @t265 @t262)) % 0.52/0.79 (define @t268 () (@var "BOUND_VARIABLE_8272" $$unsorted)) % 0.52/0.79 (define @t269 () (or @t261 @t267)) % 0.52/0.79 (define @t270 () (tptp.p1 @t268)) % 0.52/0.79 (define @t271 () (not (tptp.irel @t7 @t268))) % 0.52/0.79 (define @t272 () (not (forall @t258 (or (not (tptp.irel @t7 @t124)) @t257)))) % 0.52/0.79 (define @t273 () (@list @t7 @t268)) % 0.52/0.79 (define @t274 () (or @t261 (forall @t273 (or @t143 @t272 @t271 @t270)))) % 0.52/0.79 (define @t275 () (or @t158 @t272 @t271 @t270)) % 0.52/0.79 (define @t276 () (forall @t47 (or @t158 @t122))) % 0.52/0.79 (define @t277 () (not @t276)) % 0.52/0.79 (define @t278 () (lambda @t79 (or @t277 (forall @t273 @t275)))) % 0.52/0.79 (define @t279 () (_ @t278 @t55)) % 0.52/0.79 (define @t280 () (forall @t56 @t279)) % 0.52/0.79 (define @t281 () (or @t271 @t270)) % 0.52/0.79 (define @t282 () (or @t158 @t272 @t281)) % 0.52/0.79 (define @t283 () (forall @t273 @t282)) % 0.52/0.79 (define @t284 () (@list @t268)) % 0.52/0.79 (define @t285 () (forall @t284 @t282)) % 0.52/0.79 (define @t286 () (forall @t284 @t281)) % 0.52/0.79 (define @t287 () (@var "BOUND_VARIABLE_8239" $$unsorted)) % 0.52/0.79 (define @t288 () (@list @t287)) % 0.52/0.79 (define @t289 () (or @t158 @t272 @t286)) % 0.52/0.79 (define @t290 () (tptp.p1 @t287)) % 0.52/0.79 (define @t291 () (@list @t287)) % 0.52/0.79 (define @t292 () (forall @t291 (or (not (tptp.irel @t7 @t287)) @t290))) % 0.52/0.79 (define @t293 () (or @t158 @t272 @t292)) % 0.52/0.79 (define @t294 () (or @t272 @t292)) % 0.52/0.79 (define @t295 () (or @t277 @t160)) % 0.52/0.79 (define @t296 () (lambda @t79 @t295)) % 0.52/0.79 (define @t297 () (or @t158 (_ @t296 @t7))) % 0.52/0.79 (define @t298 () (forall @t47 @t297)) % 0.52/0.79 (define @t299 () (or @t277 @t298)) % 0.52/0.79 (define @t300 () (lambda @t79 @t299)) % 0.52/0.79 (define @t301 () (lambda @t189 (or @t277 @t188))) % 0.52/0.79 (define @t302 () (or @t277 @t203)) % 0.52/0.79 (define @t303 () (lambda @t79 @t302)) % 0.52/0.79 (define @t304 () (_ tptp.p2 @t7)) % 0.52/0.79 (define @t305 () (or @t158 @t304)) % 0.52/0.79 (define @t306 () (lambda @t79 (_ tptp.p2 @t40))) % 0.52/0.79 (define @t307 () (_ @t306 @t7)) % 0.52/0.79 (define @t308 () (or @t158 @t307)) % 0.52/0.79 (define @t309 () (forall @t47 @t308)) % 0.52/0.79 (define @t310 () (not @t309)) % 0.52/0.79 (define @t311 () (or @t310 @t188)) % 0.52/0.79 (define @t312 () (lambda @t189 @t311)) % 0.52/0.79 (define @t313 () (forall @t258 (or (not (tptp.irel @t87 @t124)) @t257))) % 0.52/0.79 (define @t314 () (not @t313)) % 0.52/0.79 (define @t315 () (not @t123)) % 0.52/0.79 (define @t316 () (or @t315 @t241 @t314 @t249 @t248)) % 0.52/0.79 (define @t317 () (@list false true false false false)) % 0.52/0.79 (define @t318 () (@quantifiers_skolemize @t123 0)) % 0.52/0.79 (define @t319 () (tptp.irel @t87 @t318)) % 0.52/0.79 (define @t320 () (tptp.p2 @t318)) % 0.52/0.79 (define @t321 () (not @t319)) % 0.52/0.79 (define @t322 () (or @t321 @t320)) % 0.52/0.79 (define @t323 () (@list @t322)) % 0.52/0.79 (define @t324 () (@var "BOUND_VARIABLE_8409" $$unsorted)) % 0.52/0.79 (define @t325 () (tptp.p2 @t324)) % 0.52/0.79 (define @t326 () (@var "BOUND_VARIABLE_8407" $$unsorted)) % 0.52/0.79 (define @t327 () (not (tptp.irel @t326 @t324))) % 0.52/0.79 (define @t328 () (tptp.p3 @t120)) % 0.52/0.79 (define @t329 () (@list @t120)) % 0.52/0.79 (define @t330 () (not (forall @t329 (or (not (tptp.irel @t326 @t120)) @t328)))) % 0.52/0.79 (define @t331 () (not (tptp.irel @t55 @t326))) % 0.52/0.79 (define @t332 () (not (forall @t47 (or @t143 @t118)))) % 0.52/0.79 (define @t333 () (or @t331 @t330 @t327 @t325)) % 0.52/0.79 (define @t334 () (or @t332 @t333)) % 0.52/0.79 (define @t335 () (forall (@list @t55 @t326 @t324) @t334)) % 0.52/0.79 (define @t336 () (@list @t326 @t324)) % 0.52/0.79 (define @t337 () (forall @t336 @t334)) % 0.52/0.79 (define @t338 () (forall @t336 @t333)) % 0.52/0.79 (define @t339 () (@var "BOUND_VARIABLE_8384" $$unsorted)) % 0.52/0.79 (define @t340 () (or @t332 @t338)) % 0.52/0.79 (define @t341 () (tptp.p2 @t339)) % 0.52/0.79 (define @t342 () (not (tptp.irel @t7 @t339))) % 0.52/0.79 (define @t343 () (not (forall @t329 (or (not (tptp.irel @t7 @t120)) @t328)))) % 0.52/0.79 (define @t344 () (@list @t7 @t339)) % 0.52/0.79 (define @t345 () (or @t332 (forall @t344 (or @t143 @t343 @t342 @t341)))) % 0.52/0.79 (define @t346 () (or @t158 @t343 @t342 @t341)) % 0.52/0.79 (define @t347 () (forall @t47 (or @t158 @t118))) % 0.52/0.79 (define @t348 () (not @t347)) % 0.52/0.79 (define @t349 () (lambda @t79 (or @t348 (forall @t344 @t346)))) % 0.52/0.79 (define @t350 () (_ @t349 @t55)) % 0.52/0.79 (define @t351 () (forall @t56 @t350)) % 0.52/0.79 (define @t352 () (or @t342 @t341)) % 0.52/0.79 (define @t353 () (or @t158 @t343 @t352)) % 0.52/0.79 (define @t354 () (forall @t344 @t353)) % 0.52/0.79 (define @t355 () (@list @t339)) % 0.52/0.79 (define @t356 () (forall @t355 @t353)) % 0.52/0.79 (define @t357 () (forall @t355 @t352)) % 0.52/0.79 (define @t358 () (@var "BOUND_VARIABLE_8351" $$unsorted)) % 0.52/0.79 (define @t359 () (@list @t358)) % 0.52/0.79 (define @t360 () (or @t158 @t343 @t357)) % 0.52/0.79 (define @t361 () (tptp.p2 @t358)) % 0.52/0.79 (define @t362 () (@list @t358)) % 0.52/0.79 (define @t363 () (forall @t362 (or (not (tptp.irel @t7 @t358)) @t361))) % 0.52/0.79 (define @t364 () (or @t158 @t343 @t363)) % 0.52/0.79 (define @t365 () (or @t343 @t363)) % 0.52/0.79 (define @t366 () (or @t348 @t276)) % 0.52/0.79 (define @t367 () (lambda @t79 @t366)) % 0.52/0.79 (define @t368 () (or @t158 (_ @t367 @t7))) % 0.52/0.79 (define @t369 () (forall @t47 @t368)) % 0.52/0.79 (define @t370 () (or @t348 @t369)) % 0.52/0.79 (define @t371 () (lambda @t79 @t370)) % 0.52/0.79 (define @t372 () (lambda @t189 (or @t348 @t188))) % 0.52/0.79 (define @t373 () (or @t348 @t309)) % 0.52/0.79 (define @t374 () (lambda @t79 @t373)) % 0.52/0.79 (define @t375 () (_ tptp.p3 @t7)) % 0.52/0.79 (define @t376 () (or @t158 @t375)) % 0.52/0.79 (define @t377 () (lambda @t79 (_ tptp.p3 @t40))) % 0.52/0.79 (define @t378 () (_ @t377 @t7)) % 0.52/0.79 (define @t379 () (or @t158 @t378)) % 0.52/0.79 (define @t380 () (forall @t47 @t379)) % 0.52/0.79 (define @t381 () (not @t380)) % 0.52/0.79 (define @t382 () (or @t381 @t188)) % 0.52/0.79 (define @t383 () (lambda @t189 @t382)) % 0.52/0.79 (define @t384 () (forall @t329 (or (not (tptp.irel @t87 @t120)) @t328))) % 0.52/0.79 (define @t385 () (not @t384)) % 0.52/0.79 (define @t386 () (not @t119)) % 0.52/0.79 (define @t387 () (or @t386 @t241 @t385 @t321 @t320)) % 0.52/0.79 (define @t388 () (@quantifiers_skolemize @t119 0)) % 0.52/0.79 (define @t389 () (tptp.irel @t87 @t388)) % 0.52/0.79 (define @t390 () (tptp.p3 @t388)) % 0.52/0.79 (define @t391 () (not @t389)) % 0.52/0.79 (define @t392 () (or @t391 @t390)) % 0.52/0.79 (define @t393 () (@list @t392)) % 0.52/0.79 (define @t394 () (@var "BOUND_VARIABLE_8521" $$unsorted)) % 0.52/0.79 (define @t395 () (tptp.p3 @t394)) % 0.52/0.79 (define @t396 () (@var "BOUND_VARIABLE_8519" $$unsorted)) % 0.52/0.79 (define @t397 () (not (tptp.irel @t396 @t394))) % 0.52/0.79 (define @t398 () (tptp.p4 @t116)) % 0.52/0.79 (define @t399 () (@list @t116)) % 0.52/0.79 (define @t400 () (not (forall @t399 (or (not (tptp.irel @t396 @t116)) @t398)))) % 0.52/0.79 (define @t401 () (not (tptp.irel @t55 @t396))) % 0.52/0.79 (define @t402 () (not (forall @t47 (or @t143 @t114)))) % 0.52/0.79 (define @t403 () (or @t401 @t400 @t397 @t395)) % 0.52/0.79 (define @t404 () (or @t402 @t403)) % 0.52/0.79 (define @t405 () (forall (@list @t55 @t396 @t394) @t404)) % 0.52/0.79 (define @t406 () (@list @t396 @t394)) % 0.52/0.79 (define @t407 () (forall @t406 @t404)) % 0.52/0.79 (define @t408 () (forall @t406 @t403)) % 0.52/0.79 (define @t409 () (@var "BOUND_VARIABLE_8496" $$unsorted)) % 0.52/0.79 (define @t410 () (or @t402 @t408)) % 0.52/0.79 (define @t411 () (tptp.p3 @t409)) % 0.52/0.79 (define @t412 () (not (tptp.irel @t7 @t409))) % 0.52/0.79 (define @t413 () (not (forall @t399 (or (not (tptp.irel @t7 @t116)) @t398)))) % 0.52/0.79 (define @t414 () (@list @t7 @t409)) % 0.52/0.79 (define @t415 () (or @t402 (forall @t414 (or @t143 @t413 @t412 @t411)))) % 0.52/0.79 (define @t416 () (or @t158 @t413 @t412 @t411)) % 0.52/0.79 (define @t417 () (forall @t47 (or @t158 @t114))) % 0.52/0.79 (define @t418 () (not @t417)) % 0.52/0.79 (define @t419 () (lambda @t79 (or @t418 (forall @t414 @t416)))) % 0.52/0.79 (define @t420 () (_ @t419 @t55)) % 0.52/0.79 (define @t421 () (forall @t56 @t420)) % 0.52/0.79 (define @t422 () (or @t412 @t411)) % 0.52/0.79 (define @t423 () (or @t158 @t413 @t422)) % 0.52/0.79 (define @t424 () (forall @t414 @t423)) % 0.52/0.79 (define @t425 () (@list @t409)) % 0.52/0.79 (define @t426 () (forall @t425 @t423)) % 0.52/0.79 (define @t427 () (forall @t425 @t422)) % 0.52/0.79 (define @t428 () (@var "BOUND_VARIABLE_8463" $$unsorted)) % 0.52/0.79 (define @t429 () (@list @t428)) % 0.52/0.79 (define @t430 () (or @t158 @t413 @t427)) % 0.52/0.79 (define @t431 () (tptp.p3 @t428)) % 0.52/0.79 (define @t432 () (@list @t428)) % 0.52/0.79 (define @t433 () (forall @t432 (or (not (tptp.irel @t7 @t428)) @t431))) % 0.52/0.79 (define @t434 () (or @t158 @t413 @t433)) % 0.52/0.79 (define @t435 () (or @t413 @t433)) % 0.52/0.79 (define @t436 () (or @t418 @t347)) % 0.52/0.79 (define @t437 () (lambda @t79 @t436)) % 0.52/0.79 (define @t438 () (or @t158 (_ @t437 @t7))) % 0.52/0.79 (define @t439 () (forall @t47 @t438)) % 0.52/0.79 (define @t440 () (or @t418 @t439)) % 0.52/0.79 (define @t441 () (lambda @t79 @t440)) % 0.52/0.79 (define @t442 () (lambda @t189 (or @t418 @t188))) % 0.52/0.79 (define @t443 () (or @t418 @t380)) % 0.52/0.79 (define @t444 () (lambda @t79 @t443)) % 0.52/0.79 (define @t445 () (_ tptp.p4 @t7)) % 0.52/0.79 (define @t446 () (or @t158 @t445)) % 0.52/0.79 (define @t447 () (lambda @t79 (_ tptp.p4 @t40))) % 0.52/0.79 (define @t448 () (_ @t447 @t7)) % 0.52/0.79 (define @t449 () (or @t158 @t448)) % 0.52/0.79 (define @t450 () (forall @t47 @t449)) % 0.52/0.79 (define @t451 () (not @t450)) % 0.52/0.79 (define @t452 () (or @t451 @t188)) % 0.52/0.79 (define @t453 () (lambda @t189 @t452)) % 0.52/0.79 (define @t454 () (forall @t399 (or (not (tptp.irel @t87 @t116)) @t398))) % 0.52/0.79 (define @t455 () (not @t454)) % 0.52/0.79 (define @t456 () (not @t115)) % 0.52/0.79 (define @t457 () (or @t456 @t241 @t455 @t391 @t390)) % 0.52/0.79 (define @t458 () (@quantifiers_skolemize @t115 0)) % 0.52/0.79 (define @t459 () (tptp.irel @t87 @t458)) % 0.52/0.79 (define @t460 () (tptp.p4 @t458)) % 0.52/0.79 (define @t461 () (not @t459)) % 0.52/0.79 (define @t462 () (or @t461 @t460)) % 0.52/0.79 (define @t463 () (@list @t462)) % 0.52/0.79 (define @t464 () (@var "BOUND_VARIABLE_8633" $$unsorted)) % 0.52/0.79 (define @t465 () (tptp.p4 @t464)) % 0.52/0.79 (define @t466 () (@var "BOUND_VARIABLE_8631" $$unsorted)) % 0.52/0.79 (define @t467 () (not (tptp.irel @t466 @t464))) % 0.52/0.79 (define @t468 () (tptp.p5 @t112)) % 0.52/0.79 (define @t469 () (@list @t112)) % 0.52/0.79 (define @t470 () (not (forall @t469 (or (not (tptp.irel @t466 @t112)) @t468)))) % 0.52/0.79 (define @t471 () (not (tptp.irel @t55 @t466))) % 0.52/0.79 (define @t472 () (not (forall @t47 (or @t143 @t110)))) % 0.52/0.79 (define @t473 () (or @t471 @t470 @t467 @t465)) % 0.52/0.79 (define @t474 () (or @t472 @t473)) % 0.52/0.79 (define @t475 () (forall (@list @t55 @t466 @t464) @t474)) % 0.52/0.79 (define @t476 () (@list @t466 @t464)) % 0.52/0.79 (define @t477 () (forall @t476 @t474)) % 0.52/0.79 (define @t478 () (forall @t476 @t473)) % 0.52/0.79 (define @t479 () (@var "BOUND_VARIABLE_8608" $$unsorted)) % 0.52/0.79 (define @t480 () (or @t472 @t478)) % 0.52/0.79 (define @t481 () (tptp.p4 @t479)) % 0.52/0.79 (define @t482 () (not (tptp.irel @t7 @t479))) % 0.52/0.79 (define @t483 () (not (forall @t469 (or (not (tptp.irel @t7 @t112)) @t468)))) % 0.52/0.79 (define @t484 () (@list @t7 @t479)) % 0.52/0.79 (define @t485 () (or @t472 (forall @t484 (or @t143 @t483 @t482 @t481)))) % 0.52/0.79 (define @t486 () (or @t158 @t483 @t482 @t481)) % 0.52/0.79 (define @t487 () (forall @t47 (or @t158 @t110))) % 0.52/0.79 (define @t488 () (not @t487)) % 0.52/0.79 (define @t489 () (lambda @t79 (or @t488 (forall @t484 @t486)))) % 0.52/0.79 (define @t490 () (_ @t489 @t55)) % 0.52/0.79 (define @t491 () (forall @t56 @t490)) % 0.52/0.79 (define @t492 () (or @t482 @t481)) % 0.52/0.79 (define @t493 () (or @t158 @t483 @t492)) % 0.52/0.79 (define @t494 () (forall @t484 @t493)) % 0.52/0.79 (define @t495 () (@list @t479)) % 0.52/0.79 (define @t496 () (forall @t495 @t493)) % 0.52/0.79 (define @t497 () (forall @t495 @t492)) % 0.52/0.79 (define @t498 () (@var "BOUND_VARIABLE_8575" $$unsorted)) % 0.52/0.79 (define @t499 () (@list @t498)) % 0.52/0.79 (define @t500 () (or @t158 @t483 @t497)) % 0.52/0.79 (define @t501 () (tptp.p4 @t498)) % 0.52/0.79 (define @t502 () (@list @t498)) % 0.52/0.79 (define @t503 () (forall @t502 (or (not (tptp.irel @t7 @t498)) @t501))) % 0.52/0.79 (define @t504 () (or @t158 @t483 @t503)) % 0.52/0.79 (define @t505 () (or @t483 @t503)) % 0.52/0.79 (define @t506 () (or @t488 @t417)) % 0.52/0.79 (define @t507 () (lambda @t79 @t506)) % 0.52/0.79 (define @t508 () (or @t158 (_ @t507 @t7))) % 0.52/0.79 (define @t509 () (forall @t47 @t508)) % 0.52/0.79 (define @t510 () (or @t488 @t509)) % 0.52/0.79 (define @t511 () (lambda @t79 @t510)) % 0.52/0.79 (define @t512 () (lambda @t189 (or @t488 @t188))) % 0.52/0.79 (define @t513 () (or @t488 @t450)) % 0.52/0.79 (define @t514 () (lambda @t79 @t513)) % 0.52/0.79 (define @t515 () (_ tptp.p5 @t7)) % 0.52/0.79 (define @t516 () (or @t158 @t515)) % 0.52/0.79 (define @t517 () (lambda @t79 (_ tptp.p5 @t40))) % 0.52/0.79 (define @t518 () (_ @t517 @t7)) % 0.52/0.79 (define @t519 () (or @t158 @t518)) % 0.52/0.79 (define @t520 () (forall @t47 @t519)) % 0.52/0.79 (define @t521 () (not @t520)) % 0.52/0.79 (define @t522 () (or @t521 @t188)) % 0.52/0.79 (define @t523 () (lambda @t189 @t522)) % 0.52/0.79 (define @t524 () (forall @t469 (or (not (tptp.irel @t87 @t112)) @t468))) % 0.52/0.79 (define @t525 () (not @t524)) % 0.52/0.79 (define @t526 () (not @t111)) % 0.52/0.79 (define @t527 () (or @t526 @t241 @t525 @t461 @t460)) % 0.52/0.79 (define @t528 () (@quantifiers_skolemize @t111 0)) % 0.52/0.79 (define @t529 () (tptp.irel @t87 @t528)) % 0.52/0.79 (define @t530 () (tptp.p5 @t528)) % 0.52/0.79 (define @t531 () (not @t529)) % 0.52/0.79 (define @t532 () (or @t531 @t530)) % 0.52/0.79 (define @t533 () (@list @t532)) % 0.52/0.79 (define @t534 () (@var "BOUND_VARIABLE_8745" $$unsorted)) % 0.52/0.79 (define @t535 () (tptp.p5 @t534)) % 0.52/0.79 (define @t536 () (@var "BOUND_VARIABLE_8743" $$unsorted)) % 0.52/0.79 (define @t537 () (not (tptp.irel @t536 @t534))) % 0.52/0.79 (define @t538 () (tptp.p6 @t108)) % 0.52/0.79 (define @t539 () (@list @t108)) % 0.52/0.79 (define @t540 () (not (forall @t539 (or (not (tptp.irel @t536 @t108)) @t538)))) % 0.52/0.79 (define @t541 () (not (tptp.irel @t55 @t536))) % 0.52/0.79 (define @t542 () (not (forall @t47 (or @t143 @t106)))) % 0.52/0.79 (define @t543 () (or @t541 @t540 @t537 @t535)) % 0.52/0.79 (define @t544 () (or @t542 @t543)) % 0.52/0.79 (define @t545 () (forall (@list @t55 @t536 @t534) @t544)) % 0.52/0.79 (define @t546 () (@list @t536 @t534)) % 0.52/0.79 (define @t547 () (forall @t546 @t544)) % 0.52/0.79 (define @t548 () (forall @t546 @t543)) % 0.52/0.79 (define @t549 () (@var "BOUND_VARIABLE_8720" $$unsorted)) % 0.52/0.79 (define @t550 () (or @t542 @t548)) % 0.52/0.79 (define @t551 () (tptp.p5 @t549)) % 0.52/0.79 (define @t552 () (not (tptp.irel @t7 @t549))) % 0.52/0.79 (define @t553 () (not (forall @t539 (or (not (tptp.irel @t7 @t108)) @t538)))) % 0.52/0.79 (define @t554 () (@list @t7 @t549)) % 0.52/0.79 (define @t555 () (or @t542 (forall @t554 (or @t143 @t553 @t552 @t551)))) % 0.52/0.79 (define @t556 () (or @t158 @t553 @t552 @t551)) % 0.52/0.79 (define @t557 () (forall @t47 (or @t158 @t106))) % 0.52/0.79 (define @t558 () (not @t557)) % 0.52/0.79 (define @t559 () (lambda @t79 (or @t558 (forall @t554 @t556)))) % 0.52/0.79 (define @t560 () (_ @t559 @t55)) % 0.52/0.79 (define @t561 () (forall @t56 @t560)) % 0.52/0.79 (define @t562 () (or @t552 @t551)) % 0.52/0.79 (define @t563 () (or @t158 @t553 @t562)) % 0.52/0.79 (define @t564 () (forall @t554 @t563)) % 0.52/0.79 (define @t565 () (@list @t549)) % 0.52/0.79 (define @t566 () (forall @t565 @t563)) % 0.52/0.79 (define @t567 () (forall @t565 @t562)) % 0.52/0.79 (define @t568 () (@var "BOUND_VARIABLE_8687" $$unsorted)) % 0.52/0.79 (define @t569 () (@list @t568)) % 0.52/0.79 (define @t570 () (or @t158 @t553 @t567)) % 0.52/0.79 (define @t571 () (tptp.p5 @t568)) % 0.52/0.79 (define @t572 () (@list @t568)) % 0.52/0.79 (define @t573 () (forall @t572 (or (not (tptp.irel @t7 @t568)) @t571))) % 0.52/0.79 (define @t574 () (or @t158 @t553 @t573)) % 0.52/0.79 (define @t575 () (or @t553 @t573)) % 0.52/0.79 (define @t576 () (or @t558 @t487)) % 0.52/0.79 (define @t577 () (lambda @t79 @t576)) % 0.52/0.79 (define @t578 () (or @t158 (_ @t577 @t7))) % 0.52/0.79 (define @t579 () (forall @t47 @t578)) % 0.52/0.79 (define @t580 () (or @t558 @t579)) % 0.52/0.79 (define @t581 () (lambda @t79 @t580)) % 0.52/0.79 (define @t582 () (lambda @t189 (or @t558 @t188))) % 0.52/0.79 (define @t583 () (or @t558 @t520)) % 0.52/0.79 (define @t584 () (lambda @t79 @t583)) % 0.52/0.79 (define @t585 () (_ tptp.p6 @t7)) % 0.52/0.79 (define @t586 () (or @t158 @t585)) % 0.52/0.79 (define @t587 () (lambda @t79 (_ tptp.p6 @t40))) % 0.52/0.79 (define @t588 () (_ @t587 @t7)) % 0.52/0.79 (define @t589 () (or @t158 @t588)) % 0.52/0.79 (define @t590 () (forall @t47 @t589)) % 0.52/0.79 (define @t591 () (not @t590)) % 0.52/0.79 (define @t592 () (or @t591 @t188)) % 0.52/0.79 (define @t593 () (lambda @t189 @t592)) % 0.52/0.79 (define @t594 () (forall @t539 (or (not (tptp.irel @t87 @t108)) @t538))) % 0.52/0.79 (define @t595 () (not @t594)) % 0.52/0.79 (define @t596 () (not @t107)) % 0.52/0.79 (define @t597 () (or @t596 @t241 @t595 @t531 @t530)) % 0.52/0.79 (define @t598 () (@quantifiers_skolemize @t107 0)) % 0.52/0.79 (define @t599 () (tptp.irel @t87 @t598)) % 0.52/0.79 (define @t600 () (tptp.p6 @t598)) % 0.52/0.79 (define @t601 () (not @t599)) % 0.52/0.79 (define @t602 () (or @t601 @t600)) % 0.52/0.79 (define @t603 () (@list @t602)) % 0.52/0.79 (define @t604 () (@var "BOUND_VARIABLE_8857" $$unsorted)) % 0.52/0.79 (define @t605 () (tptp.p6 @t604)) % 0.52/0.79 (define @t606 () (@var "BOUND_VARIABLE_8855" $$unsorted)) % 0.52/0.79 (define @t607 () (not (tptp.irel @t606 @t604))) % 0.52/0.79 (define @t608 () (tptp.p7 @t104)) % 0.52/0.79 (define @t609 () (@list @t104)) % 0.52/0.79 (define @t610 () (not (forall @t609 (or (not (tptp.irel @t606 @t104)) @t608)))) % 0.52/0.79 (define @t611 () (not (tptp.irel @t55 @t606))) % 0.52/0.79 (define @t612 () (not (forall @t47 (or @t143 @t102)))) % 0.52/0.79 (define @t613 () (or @t611 @t610 @t607 @t605)) % 0.52/0.79 (define @t614 () (or @t612 @t613)) % 0.52/0.79 (define @t615 () (forall (@list @t55 @t606 @t604) @t614)) % 0.52/0.79 (define @t616 () (@list @t606 @t604)) % 0.52/0.79 (define @t617 () (forall @t616 @t614)) % 0.52/0.79 (define @t618 () (forall @t616 @t613)) % 0.52/0.79 (define @t619 () (@var "BOUND_VARIABLE_8832" $$unsorted)) % 0.52/0.79 (define @t620 () (or @t612 @t618)) % 0.52/0.79 (define @t621 () (tptp.p6 @t619)) % 0.52/0.79 (define @t622 () (not (tptp.irel @t7 @t619))) % 0.52/0.79 (define @t623 () (not (forall @t609 (or (not (tptp.irel @t7 @t104)) @t608)))) % 0.52/0.79 (define @t624 () (@list @t7 @t619)) % 0.52/0.79 (define @t625 () (or @t612 (forall @t624 (or @t143 @t623 @t622 @t621)))) % 0.52/0.79 (define @t626 () (or @t158 @t623 @t622 @t621)) % 0.52/0.79 (define @t627 () (forall @t47 (or @t158 @t102))) % 0.52/0.79 (define @t628 () (not @t627)) % 0.52/0.79 (define @t629 () (lambda @t79 (or @t628 (forall @t624 @t626)))) % 0.52/0.79 (define @t630 () (_ @t629 @t55)) % 0.52/0.79 (define @t631 () (forall @t56 @t630)) % 0.52/0.79 (define @t632 () (or @t622 @t621)) % 0.52/0.79 (define @t633 () (or @t158 @t623 @t632)) % 0.52/0.79 (define @t634 () (forall @t624 @t633)) % 0.52/0.79 (define @t635 () (@list @t619)) % 0.52/0.79 (define @t636 () (forall @t635 @t633)) % 0.52/0.79 (define @t637 () (forall @t635 @t632)) % 0.52/0.79 (define @t638 () (@var "BOUND_VARIABLE_8799" $$unsorted)) % 0.52/0.79 (define @t639 () (@list @t638)) % 0.52/0.79 (define @t640 () (or @t158 @t623 @t637)) % 0.52/0.79 (define @t641 () (tptp.p6 @t638)) % 0.52/0.79 (define @t642 () (@list @t638)) % 0.52/0.79 (define @t643 () (forall @t642 (or (not (tptp.irel @t7 @t638)) @t641))) % 0.52/0.79 (define @t644 () (or @t158 @t623 @t643)) % 0.52/0.79 (define @t645 () (or @t623 @t643)) % 0.52/0.79 (define @t646 () (or @t628 @t557)) % 0.52/0.79 (define @t647 () (lambda @t79 @t646)) % 0.52/0.79 (define @t648 () (or @t158 (_ @t647 @t7))) % 0.52/0.79 (define @t649 () (forall @t47 @t648)) % 0.52/0.79 (define @t650 () (or @t628 @t649)) % 0.52/0.79 (define @t651 () (lambda @t79 @t650)) % 0.52/0.79 (define @t652 () (lambda @t189 (or @t628 @t188))) % 0.52/0.79 (define @t653 () (or @t628 @t590)) % 0.52/0.79 (define @t654 () (lambda @t79 @t653)) % 0.52/0.79 (define @t655 () (_ tptp.p7 @t7)) % 0.52/0.79 (define @t656 () (or @t158 @t655)) % 0.52/0.79 (define @t657 () (lambda @t79 (_ tptp.p7 @t40))) % 0.52/0.79 (define @t658 () (_ @t657 @t7)) % 0.52/0.79 (define @t659 () (or @t158 @t658)) % 0.52/0.79 (define @t660 () (forall @t47 @t659)) % 0.52/0.79 (define @t661 () (not @t660)) % 0.52/0.79 (define @t662 () (or @t661 @t188)) % 0.52/0.79 (define @t663 () (lambda @t189 @t662)) % 0.52/0.79 (define @t664 () (forall @t609 (or (not (tptp.irel @t87 @t104)) @t608))) % 0.52/0.79 (define @t665 () (not @t664)) % 0.52/0.79 (define @t666 () (not @t103)) % 0.52/0.79 (define @t667 () (or @t666 @t241 @t665 @t601 @t600)) % 0.52/0.79 (define @t668 () (@quantifiers_skolemize @t103 0)) % 0.52/0.79 (define @t669 () (tptp.irel @t87 @t668)) % 0.52/0.79 (define @t670 () (tptp.p7 @t668)) % 0.52/0.79 (define @t671 () (not @t669)) % 0.52/0.79 (define @t672 () (or @t671 @t670)) % 0.52/0.79 (define @t673 () (@list @t672)) % 0.52/0.79 (define @t674 () (@var "BOUND_VARIABLE_8969" $$unsorted)) % 0.52/0.79 (define @t675 () (tptp.p7 @t674)) % 0.52/0.79 (define @t676 () (@var "BOUND_VARIABLE_8967" $$unsorted)) % 0.52/0.79 (define @t677 () (not (tptp.irel @t676 @t674))) % 0.52/0.79 (define @t678 () (tptp.p8 @t100)) % 0.52/0.79 (define @t679 () (@list @t100)) % 0.52/0.79 (define @t680 () (not (forall @t679 (or (not (tptp.irel @t676 @t100)) @t678)))) % 0.52/0.79 (define @t681 () (not (tptp.irel @t55 @t676))) % 0.52/0.79 (define @t682 () (not (forall @t47 (or @t143 @t98)))) % 0.52/0.79 (define @t683 () (or @t681 @t680 @t677 @t675)) % 0.52/0.79 (define @t684 () (or @t682 @t683)) % 0.52/0.79 (define @t685 () (forall (@list @t55 @t676 @t674) @t684)) % 0.52/0.79 (define @t686 () (@list @t676 @t674)) % 0.52/0.79 (define @t687 () (forall @t686 @t684)) % 0.52/0.79 (define @t688 () (forall @t686 @t683)) % 0.52/0.79 (define @t689 () (@var "BOUND_VARIABLE_8944" $$unsorted)) % 0.52/0.79 (define @t690 () (or @t682 @t688)) % 0.52/0.79 (define @t691 () (tptp.p7 @t689)) % 0.52/0.79 (define @t692 () (not (tptp.irel @t7 @t689))) % 0.52/0.79 (define @t693 () (not (forall @t679 (or (not (tptp.irel @t7 @t100)) @t678)))) % 0.52/0.79 (define @t694 () (@list @t7 @t689)) % 0.52/0.79 (define @t695 () (or @t682 (forall @t694 (or @t143 @t693 @t692 @t691)))) % 0.52/0.79 (define @t696 () (or @t158 @t693 @t692 @t691)) % 0.52/0.79 (define @t697 () (forall @t47 (or @t158 @t98))) % 0.52/0.79 (define @t698 () (not @t697)) % 0.52/0.79 (define @t699 () (lambda @t79 (or @t698 (forall @t694 @t696)))) % 0.52/0.79 (define @t700 () (_ @t699 @t55)) % 0.52/0.79 (define @t701 () (forall @t56 @t700)) % 0.52/0.79 (define @t702 () (or @t692 @t691)) % 0.52/0.79 (define @t703 () (or @t158 @t693 @t702)) % 0.52/0.79 (define @t704 () (forall @t694 @t703)) % 0.52/0.79 (define @t705 () (@list @t689)) % 0.52/0.79 (define @t706 () (forall @t705 @t703)) % 0.52/0.79 (define @t707 () (forall @t705 @t702)) % 0.52/0.79 (define @t708 () (@var "BOUND_VARIABLE_8911" $$unsorted)) % 0.52/0.79 (define @t709 () (@list @t708)) % 0.52/0.79 (define @t710 () (or @t158 @t693 @t707)) % 0.52/0.79 (define @t711 () (tptp.p7 @t708)) % 0.52/0.79 (define @t712 () (@list @t708)) % 0.52/0.79 (define @t713 () (forall @t712 (or (not (tptp.irel @t7 @t708)) @t711))) % 0.52/0.79 (define @t714 () (or @t158 @t693 @t713)) % 0.52/0.79 (define @t715 () (or @t693 @t713)) % 0.52/0.79 (define @t716 () (or @t698 @t627)) % 0.52/0.79 (define @t717 () (lambda @t79 @t716)) % 0.52/0.79 (define @t718 () (or @t158 (_ @t717 @t7))) % 0.52/0.79 (define @t719 () (forall @t47 @t718)) % 0.52/0.79 (define @t720 () (or @t698 @t719)) % 0.52/0.79 (define @t721 () (lambda @t79 @t720)) % 0.52/0.79 (define @t722 () (lambda @t189 (or @t698 @t188))) % 0.52/0.79 (define @t723 () (or @t698 @t660)) % 0.52/0.79 (define @t724 () (lambda @t79 @t723)) % 0.52/0.79 (define @t725 () (_ tptp.p8 @t7)) % 0.52/0.79 (define @t726 () (or @t158 @t725)) % 0.52/0.79 (define @t727 () (lambda @t79 (_ tptp.p8 @t40))) % 0.52/0.79 (define @t728 () (_ @t727 @t7)) % 0.52/0.79 (define @t729 () (or @t158 @t728)) % 0.52/0.79 (define @t730 () (forall @t47 @t729)) % 0.52/0.79 (define @t731 () (not @t730)) % 0.52/0.79 (define @t732 () (or @t731 @t188)) % 0.52/0.79 (define @t733 () (lambda @t189 @t732)) % 0.52/0.79 (define @t734 () (forall @t679 (or (not (tptp.irel @t87 @t100)) @t678))) % 0.52/0.79 (define @t735 () (not @t734)) % 0.52/0.79 (define @t736 () (not @t99)) % 0.52/0.79 (define @t737 () (or @t736 @t241 @t735 @t671 @t670)) % 0.52/0.79 (define @t738 () (@quantifiers_skolemize @t99 0)) % 0.52/0.79 (define @t739 () (tptp.irel @t87 @t738)) % 0.52/0.79 (define @t740 () (tptp.p8 @t738)) % 0.52/0.79 (define @t741 () (not @t739)) % 0.52/0.79 (define @t742 () (or @t741 @t740)) % 0.52/0.79 (define @t743 () (@list @t742)) % 0.52/0.79 (define @t744 () (@var "BOUND_VARIABLE_9081" $$unsorted)) % 0.52/0.79 (define @t745 () (tptp.p8 @t744)) % 0.52/0.79 (define @t746 () (@var "BOUND_VARIABLE_9079" $$unsorted)) % 0.52/0.79 (define @t747 () (not (tptp.irel @t746 @t744))) % 0.52/0.79 (define @t748 () (tptp.p9 @t96)) % 0.52/0.79 (define @t749 () (@list @t96)) % 0.52/0.79 (define @t750 () (not (forall @t749 (or (not (tptp.irel @t746 @t96)) @t748)))) % 0.52/0.79 (define @t751 () (not (tptp.irel @t55 @t746))) % 0.52/0.79 (define @t752 () (not (forall @t47 (or @t143 @t94)))) % 0.52/0.79 (define @t753 () (or @t751 @t750 @t747 @t745)) % 0.52/0.79 (define @t754 () (or @t752 @t753)) % 0.52/0.79 (define @t755 () (forall (@list @t55 @t746 @t744) @t754)) % 0.52/0.79 (define @t756 () (@list @t746 @t744)) % 0.52/0.79 (define @t757 () (forall @t756 @t754)) % 0.52/0.79 (define @t758 () (forall @t756 @t753)) % 0.52/0.79 (define @t759 () (@var "BOUND_VARIABLE_9056" $$unsorted)) % 0.52/0.79 (define @t760 () (or @t752 @t758)) % 0.52/0.79 (define @t761 () (tptp.p8 @t759)) % 0.52/0.79 (define @t762 () (not (tptp.irel @t7 @t759))) % 0.52/0.79 (define @t763 () (not (forall @t749 (or (not (tptp.irel @t7 @t96)) @t748)))) % 0.52/0.79 (define @t764 () (@list @t7 @t759)) % 0.52/0.79 (define @t765 () (or @t752 (forall @t764 (or @t143 @t763 @t762 @t761)))) % 0.52/0.79 (define @t766 () (or @t158 @t763 @t762 @t761)) % 0.52/0.79 (define @t767 () (forall @t47 (or @t158 @t94))) % 0.52/0.79 (define @t768 () (not @t767)) % 0.52/0.79 (define @t769 () (lambda @t79 (or @t768 (forall @t764 @t766)))) % 0.52/0.79 (define @t770 () (_ @t769 @t55)) % 0.52/0.79 (define @t771 () (forall @t56 @t770)) % 0.52/0.79 (define @t772 () (or @t762 @t761)) % 0.52/0.79 (define @t773 () (or @t158 @t763 @t772)) % 0.52/0.79 (define @t774 () (forall @t764 @t773)) % 0.52/0.79 (define @t775 () (@list @t759)) % 0.52/0.79 (define @t776 () (forall @t775 @t773)) % 0.52/0.79 (define @t777 () (forall @t775 @t772)) % 0.52/0.79 (define @t778 () (@var "BOUND_VARIABLE_9023" $$unsorted)) % 0.52/0.79 (define @t779 () (@list @t778)) % 0.52/0.79 (define @t780 () (or @t158 @t763 @t777)) % 0.52/0.79 (define @t781 () (tptp.p8 @t778)) % 0.52/0.79 (define @t782 () (@list @t778)) % 0.52/0.79 (define @t783 () (forall @t782 (or (not (tptp.irel @t7 @t778)) @t781))) % 0.52/0.79 (define @t784 () (or @t158 @t763 @t783)) % 0.52/0.79 (define @t785 () (or @t763 @t783)) % 0.52/0.79 (define @t786 () (or @t768 @t697)) % 0.52/0.79 (define @t787 () (lambda @t79 @t786)) % 0.52/0.79 (define @t788 () (or @t158 (_ @t787 @t7))) % 0.52/0.79 (define @t789 () (forall @t47 @t788)) % 0.52/0.79 (define @t790 () (or @t768 @t789)) % 0.52/0.79 (define @t791 () (lambda @t79 @t790)) % 0.52/0.79 (define @t792 () (lambda @t189 (or @t768 @t188))) % 0.52/0.79 (define @t793 () (or @t768 @t730)) % 0.52/0.79 (define @t794 () (lambda @t79 @t793)) % 0.52/0.79 (define @t795 () (_ tptp.p9 @t7)) % 0.52/0.79 (define @t796 () (or @t158 @t795)) % 0.52/0.79 (define @t797 () (lambda @t79 (_ tptp.p9 @t40))) % 0.52/0.79 (define @t798 () (_ @t797 @t7)) % 0.52/0.79 (define @t799 () (or @t158 @t798)) % 0.52/0.79 (define @t800 () (forall @t47 @t799)) % 0.52/0.79 (define @t801 () (not @t800)) % 0.52/0.79 (define @t802 () (or @t801 @t188)) % 0.52/0.79 (define @t803 () (lambda @t189 @t802)) % 0.52/0.79 (define @t804 () (forall @t749 (or (not (tptp.irel @t87 @t96)) @t748))) % 0.52/0.79 (define @t805 () (not @t804)) % 0.52/0.79 (define @t806 () (not @t95)) % 0.52/0.79 (define @t807 () (or @t806 @t241 @t805 @t741 @t740)) % 0.52/0.79 (define @t808 () (@quantifiers_skolemize @t95 0)) % 0.52/0.79 (define @t809 () (tptp.irel @t87 @t808)) % 0.52/0.79 (define @t810 () (tptp.p9 @t808)) % 0.52/0.79 (define @t811 () (not @t809)) % 0.52/0.79 (define @t812 () (or @t811 @t810)) % 0.52/0.79 (define @t813 () (@list @t812)) % 0.52/0.79 (define @t814 () (@var "BOUND_VARIABLE_9190" $$unsorted)) % 0.52/0.79 (define @t815 () (tptp.p9 @t814)) % 0.52/0.79 (define @t816 () (@var "BOUND_VARIABLE_9188" $$unsorted)) % 0.52/0.79 (define @t817 () (not (tptp.irel @t816 @t814))) % 0.52/0.79 (define @t818 () (tptp.p10 @t91)) % 0.52/0.79 (define @t819 () (@list @t91)) % 0.52/0.79 (define @t820 () (not (forall @t819 (or (not (tptp.irel @t816 @t91)) @t818)))) % 0.52/0.79 (define @t821 () (not (tptp.irel @t55 @t816))) % 0.52/0.79 (define @t822 () (not (forall @t47 (or @t143 @t85)))) % 0.52/0.79 (define @t823 () (or @t821 @t820 @t817 @t815)) % 0.52/0.79 (define @t824 () (or @t822 @t823)) % 0.52/0.79 (define @t825 () (forall (@list @t55 @t816 @t814) @t824)) % 0.52/0.79 (define @t826 () (@list @t816 @t814)) % 0.52/0.79 (define @t827 () (forall @t826 @t824)) % 0.52/0.79 (define @t828 () (forall @t826 @t823)) % 0.52/0.79 (define @t829 () (@var "BOUND_VARIABLE_9165" $$unsorted)) % 0.52/0.79 (define @t830 () (or @t822 @t828)) % 0.52/0.79 (define @t831 () (tptp.p9 @t829)) % 0.52/0.79 (define @t832 () (not (tptp.irel @t7 @t829))) % 0.52/0.79 (define @t833 () (not (forall @t819 (or (not (tptp.irel @t7 @t91)) @t818)))) % 0.52/0.79 (define @t834 () (@list @t7 @t829)) % 0.52/0.79 (define @t835 () (or @t822 (forall @t834 (or @t143 @t833 @t832 @t831)))) % 0.52/0.79 (define @t836 () (or @t158 @t833 @t832 @t831)) % 0.52/0.79 (define @t837 () (forall @t47 (or @t158 @t85))) % 0.52/0.79 (define @t838 () (not @t837)) % 0.52/0.79 (define @t839 () (lambda @t79 (or @t838 (forall @t834 @t836)))) % 0.52/0.79 (define @t840 () (_ @t839 @t55)) % 0.52/0.79 (define @t841 () (forall @t56 @t840)) % 0.52/0.79 (define @t842 () (or @t832 @t831)) % 0.52/0.79 (define @t843 () (or @t158 @t833 @t842)) % 0.52/0.79 (define @t844 () (forall @t834 @t843)) % 0.52/0.79 (define @t845 () (@list @t829)) % 0.52/0.79 (define @t846 () (forall @t845 @t843)) % 0.52/0.79 (define @t847 () (forall @t845 @t842)) % 0.52/0.79 (define @t848 () (@var "BOUND_VARIABLE_9132" $$unsorted)) % 0.52/0.79 (define @t849 () (@list @t848)) % 0.52/0.79 (define @t850 () (or @t158 @t833 @t847)) % 0.52/0.79 (define @t851 () (tptp.p9 @t848)) % 0.52/0.79 (define @t852 () (@list @t848)) % 0.52/0.79 (define @t853 () (forall @t852 (or (not (tptp.irel @t7 @t848)) @t851))) % 0.52/0.79 (define @t854 () (or @t158 @t833 @t853)) % 0.52/0.79 (define @t855 () (or @t833 @t853)) % 0.52/0.79 (define @t856 () (or @t838 @t767)) % 0.52/0.79 (define @t857 () (lambda @t79 @t856)) % 0.52/0.79 (define @t858 () (or @t158 (_ @t857 @t7))) % 0.52/0.79 (define @t859 () (forall @t47 @t858)) % 0.52/0.79 (define @t860 () (or @t838 @t859)) % 0.52/0.79 (define @t861 () (lambda @t79 @t860)) % 0.52/0.79 (define @t862 () (lambda @t189 (or @t838 @t188))) % 0.52/0.79 (define @t863 () (or @t838 @t800)) % 0.52/0.79 (define @t864 () (lambda @t79 @t863)) % 0.52/0.79 (define @t865 () (_ tptp.p10 @t7)) % 0.52/0.79 (define @t866 () (or @t158 @t865)) % 0.52/0.79 (define @t867 () (_ @t80 @t7)) % 0.52/0.79 (define @t868 () (or @t158 @t867)) % 0.52/0.79 (define @t869 () (forall @t47 @t868)) % 0.52/0.79 (define @t870 () (not @t869)) % 0.52/0.79 (define @t871 () (or @t870 @t188)) % 0.52/0.79 (define @t872 () (lambda @t189 @t871)) % 0.52/0.79 (define @t873 () (forall @t819 (or (not (tptp.irel @t87 @t91)) @t818))) % 0.52/0.79 (define @t874 () (not @t873)) % 0.52/0.79 (define @t875 () (not @t89)) % 0.52/0.79 (define @t876 () (or @t875 @t241 @t874 @t811 @t810)) % 0.52/0.79 (define @t877 () (@quantifiers_skolemize @t89 0)) % 0.52/0.79 (define @t878 () (tptp.p10 @t877)) % 0.52/0.79 (define @t879 () (or (not (tptp.irel @t87 @t877)) @t878)) % 0.52/0.79 (define @t880 () (forall @t56 @t77)) % 0.52/0.79 (assume @p1 @t5) % 0.52/0.79 (assume @p2 (forall (@list @t1 @t7 @t6) (=> (and @t8 (_ (_ tptp.irel @t7) @t6)) (_ @t2 @t6)))) % 0.52/0.79 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 0.52/0.79 (assume @p4 (_ tptp.ivalid @t9)) % 0.52/0.79 (assume @p5 (_ tptp.ivalid (_ @t12 (_ @t12 @t10)))) % 0.52/0.79 (assume @p6 (_ tptp.ivalid (_ @t14 (_ @t14 @t11)))) % 0.52/0.79 (assume @p7 (_ tptp.ivalid (_ @t16 (_ @t16 @t13)))) % 0.52/0.79 (assume @p8 (_ tptp.ivalid (_ @t18 (_ @t18 @t15)))) % 0.52/0.79 (assume @p9 (_ tptp.ivalid (_ @t20 (_ @t20 @t17)))) % 0.52/0.79 (assume @p10 (_ tptp.ivalid (_ @t22 (_ @t22 @t19)))) % 0.52/0.79 (assume @p11 (_ tptp.ivalid (_ @t24 (_ @t24 @t21)))) % 0.52/0.79 (assume @p12 (_ tptp.ivalid (_ @t26 (_ @t26 @t23)))) % 0.52/0.79 (assume @p13 (_ tptp.ivalid (_ @t28 (_ @t28 @t25)))) % 0.52/0.79 (assume @p14 (_ tptp.ivalid (_ @t29 (_ @t29 @t27)))) % 0.52/0.79 (assume @p15 @t30) % 0.52/0.79 (assume @p16 true) % 0.52/0.79 (step @p17 (= tptp.mnot @t34) :rule refl :args (@t34)) % 0.52/0.79 (step @p18 (= tptp.mor @t38) :rule refl :args (@t38)) % 0.52/0.79 (step @p19 (= tptp.mand @t39) :rule refl :args (@t39)) % 0.52/0.79 (step @p20 (= tptp.mimplies @t44) :rule refl :args (@t44)) % 0.52/0.79 (step @p21 (= tptp.mbox_s4 @t50) :rule refl :args (@t50)) % 0.52/0.79 (step @p22 (= tptp.iatom @t52) :rule refl :args (@t52)) % 0.52/0.79 (step @p23 (= tptp.inot @t54) :rule refl :args (@t54)) % 0.52/0.79 (step @p24 (= tptp.itrue @t57) :rule refl :args (@t57)) % 0.52/0.79 (step @p25 (= tptp.iand @t60) :rule refl :args (@t60)) % 0.52/0.79 (step @p26 (= tptp.ior @t62) :rule refl :args (@t62)) % 0.52/0.79 (step @p27 (= tptp.iimplies @t63) :rule refl :args (@t63)) % 0.52/0.79 (step @p28 (= tptp.iimplied @t65) :rule refl :args (@t65)) % 0.52/0.79 (step @p29 (= tptp.iequiv @t66) :rule refl :args (@t66)) % 0.52/0.79 (step @p30 (= tptp.ixor @t67) :rule refl :args (@t67)) % 0.52/0.79 (step @p31 (= tptp.ivalid @t72) :rule refl :args (@t72)) % 0.52/0.79 (step @p32 (= tptp.isatisfiable @t73) :rule refl :args (@t73)) % 0.52/0.79 (step @p33 (= tptp.icountersatisfiable @t75) :rule refl :args (@t75)) % 0.52/0.79 (step @p34 (= tptp.iinvalid @t76) :rule refl :args (@t76)) % 0.52/0.79 (step @p35 :rule refl :args (@t77)) % 0.52/0.79 (step @p36 :rule refl :args (@t78)) % 0.52/0.79 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t78 @t77))) % 0.52/0.79 (step @p38 :rule symm :premises (@p37)) % 0.52/0.79 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.52/0.79 (step @p40 :rule cong :premises (@p39) :args ((forall @t56 @t78))) % 0.52/0.79 (step @p41 :rule beta-reduce :args ((= @t81 @t78))) % 0.52/0.79 (step @p42 :rule cong :premises (@p41) :args (@t82)) % 0.52/0.79 (step @p43 :rule trans :premises (@p42 @p40)) % 0.52/0.79 (step @p44 :rule beta-reduce :args ((= (_ @t84 @t80) @t82))) % 0.52/0.79 (step @p45 :rule trans :premises (@p44 @p43)) % 0.52/0.79 (step @p46 :rule beta-reduce :args ((= (_ @t52 tptp.p10) @t80))) % 0.52/0.79 (step @p47 :rule refl :args (@t84)) % 0.52/0.79 (step @p48 :rule ho_cong :premises (@p47 @p46)) % 0.52/0.79 (step @p49 :rule trans :premises (@p48 @p45)) % 0.52/0.79 (step @p50 :rule refl :args (tptp.p10)) % 0.52/0.79 (step @p51 :rule ho_cong :premises (@p22 @p50)) % 0.52/0.79 (step @p52 :rule refl :args (@t83)) % 0.52/0.79 (step @p53 :rule refl :args (@t69)) % 0.52/0.79 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t69 @t83))) % 0.52/0.79 (step @p55 :rule symm :premises (@p54)) % 0.52/0.79 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.52/0.79 (step @p57 :rule cong :premises (@p56) :args (@t70)) % 0.52/0.79 (step @p58 :rule cong :premises (@p57) :args (@t72)) % 0.52/0.79 (step @p59 :rule trans :premises (@p31 @p58)) % 0.52/0.79 (step @p60 :rule ho_cong :premises (@p59 @p51)) % 0.52/0.79 (step @p61 :rule trans :premises (@p60 @p49)) % 0.52/0.79 (step @p62 :rule eq_resolve :premises (@p4 @p61)) % 0.52/0.79 (step @p63 :rule alpha_equiv :args (@t89 @t90 @t92)) % 0.52/0.79 (step @p64 :rule equiv_elim1 :premises (@p63)) % 0.52/0.79 (step @p65 :rule refl :args (@t93)) % 0.52/0.79 (step @p66 :rule refl :args (@t3)) % 0.52/0.79 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t3 @t93))) % 0.52/0.79 (step @p68 :rule symm :premises (@p67)) % 0.52/0.79 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.52/0.79 (step @p70 :rule cong :premises (@p69) :args (@t5)) % 0.52/0.79 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 0.52/0.79 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t87))) % 0.52/0.79 (step @p73 :rule alpha_equiv :args (@t95 @t90 @t97)) % 0.52/0.79 (step @p74 :rule equiv_elim1 :premises (@p73)) % 0.52/0.79 (step @p75 :rule alpha_equiv :args (@t99 @t90 @t101)) % 0.52/0.79 (step @p76 :rule equiv_elim1 :premises (@p75)) % 0.52/0.79 (step @p77 :rule alpha_equiv :args (@t103 @t90 @t105)) % 0.52/0.79 (step @p78 :rule equiv_elim1 :premises (@p77)) % 0.52/0.79 (step @p79 :rule alpha_equiv :args (@t107 @t90 @t109)) % 0.52/0.79 (step @p80 :rule equiv_elim1 :premises (@p79)) % 0.52/0.79 (step @p81 :rule alpha_equiv :args (@t111 @t90 @t113)) % 0.52/0.79 (step @p82 :rule equiv_elim1 :premises (@p81)) % 0.52/0.79 (step @p83 :rule alpha_equiv :args (@t115 @t90 @t117)) % 0.52/0.79 (step @p84 :rule equiv_elim1 :premises (@p83)) % 0.52/0.79 (step @p85 :rule alpha_equiv :args (@t119 @t90 @t121)) % 0.52/0.79 (step @p86 :rule equiv_elim1 :premises (@p85)) % 0.52/0.79 (step @p87 :rule alpha_equiv :args (@t123 @t90 @t125)) % 0.52/0.79 (step @p88 :rule equiv_elim1 :premises (@p87)) % 0.52/0.79 (step @p89 :rule alpha_equiv :args (@t127 @t90 @t129)) % 0.52/0.79 (step @p90 :rule equiv_elim1 :premises (@p89)) % 0.52/0.79 (step @p91 :rule refl :args (@t86)) % 0.52/0.79 (step @p92 :rule refl :args (@t130)) % 0.52/0.79 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t130 @t86))) % 0.52/0.79 (step @p94 :rule symm :premises (@p93)) % 0.52/0.79 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.52/0.79 (step @p96 :rule cong :premises (@p95) :args ((forall @t56 @t130))) % 0.52/0.79 (step @p97 :rule beta-reduce :args ((= @t132 @t130))) % 0.52/0.79 (step @p98 :rule cong :premises (@p97) :args (@t133)) % 0.52/0.79 (step @p99 :rule trans :premises (@p98 @p96)) % 0.52/0.79 (step @p100 :rule beta-reduce :args ((= (_ @t84 @t131) @t133))) % 0.52/0.79 (step @p101 :rule trans :premises (@p100 @p99)) % 0.52/0.79 (step @p102 :rule beta-reduce :args ((= @t134 @t131))) % 0.52/0.79 (step @p103 :rule ho_cong :premises (@p47 @p102)) % 0.52/0.79 (step @p104 :rule trans :premises (@p103 @p101)) % 0.52/0.79 (step @p105 :rule cong :premises (@p104) :args ((not (_ @t84 @t134)))) % 0.52/0.79 (step @p106 :rule refl :args (tptp.p0)) % 0.52/0.79 (step @p107 :rule ho_cong :premises (@p22 @p106)) % 0.52/0.79 (step @p108 :rule ho_cong :premises (@p59 @p107)) % 0.52/0.79 (step @p109 :rule cong :premises (@p108) :args (@t30)) % 0.52/0.79 (step @p110 :rule trans :premises (@p109 @p105)) % 0.52/0.79 (step @p111 :rule eq_resolve :premises (@p15 @p110)) % 0.52/0.79 (step @p112 :rule skolemize :premises (@p111)) % 0.52/0.79 (step @p113 :rule aci_norm :args ((= @t146 (or @t144 @t142 @t141 @t138 @t136)))) % 0.52/0.79 (step @p114 :rule cong :premises (@p113) :args (@t147)) % 0.52/0.79 (step @p115 :rule quant-merge-prenex :args ((= (forall @t56 @t149) @t147))) % 0.52/0.79 (step @p116 :rule alpha_equiv :args (@t150 (@list @t137 @t135) (@list @t7 @t151))) % 0.52/0.79 (step @p117 :rule refl :args (@t144)) % 0.52/0.79 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t152)) % 0.52/0.79 (step @p119 :rule quant-miniscope-or :args ((= @t149 @t152))) % 0.52/0.79 (step @p120 :rule trans :premises (@p119 @p118)) % 0.52/0.79 (step @p121 :rule symm :premises (@p120)) % 0.52/0.79 (step @p122 :rule cong :premises (@p121) :args ((forall @t56 @t157))) % 0.52/0.79 (step @p123 :rule trans :premises (@p122 @p115)) % 0.52/0.79 (step @p124 :rule trans :premises (@p123 @p114)) % 0.52/0.79 (step @p125 :rule beta-reduce :args ((= @t163 @t157))) % 0.52/0.79 (step @p126 :rule cong :premises (@p125) :args (@t164)) % 0.52/0.79 (step @p127 :rule trans :premises (@p126 @p124)) % 0.52/0.79 (step @p128 :rule beta-reduce :args ((= (_ @t84 @t162) @t164))) % 0.52/0.79 (step @p129 :rule trans :premises (@p128 @p127)) % 0.52/0.79 (step @p130 :rule aci_norm :args ((= @t166 @t159))) % 0.52/0.79 (step @p131 :rule cong :premises (@p130) :args (@t167)) % 0.52/0.79 (step @p132 :rule quant-merge-prenex :args ((= (forall @t47 @t169) @t167))) % 0.52/0.79 (step @p133 :rule alpha_equiv :args (@t170 (@list @t151) @t172)) % 0.52/0.79 (step @p134 :rule refl :args (@t155)) % 0.52/0.79 (step @p135 :rule refl :args (@t158)) % 0.52/0.79 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args (@t173)) % 0.52/0.79 (step @p137 :rule quant-miniscope-or :args ((= @t169 @t173))) % 0.52/0.79 (step @p138 :rule trans :premises (@p137 @p136)) % 0.52/0.79 (step @p139 :rule symm :premises (@p138)) % 0.52/0.79 (step @p140 :rule cong :premises (@p139) :args ((forall @t47 @t177))) % 0.52/0.79 (step @p141 :rule trans :premises (@p140 @p132)) % 0.52/0.79 (step @p142 :rule trans :premises (@p141 @p131)) % 0.52/0.79 (step @p143 :rule aci_norm :args ((= (or @t158 @t178) @t177))) % 0.52/0.79 (step @p144 :rule beta-reduce :args ((= (_ (lambda @t79 (or (not (forall @t140 (or (not (tptp.irel @t40 @t128)) @t139))) (forall @t175 (or (not (tptp.irel @t40 @t171)) @t174)))) @t7) @t178))) % 0.52/0.79 (step @p145 :rule refl :args (@t7)) % 0.52/0.79 (step @p146 :rule alpha_equiv :args (@t180 @t90 @t172)) % 0.52/0.79 (step @p147 :rule alpha_equiv :args (@t160 @t90 @t129)) % 0.52/0.79 (step @p148 :rule cong :premises (@p147) :args (@t161)) % 0.52/0.79 (step @p149 :rule nary_cong :premises (@p148 @p146) :args (@t181)) % 0.52/0.79 (step @p150 :rule cong :premises (@p149) :args (@t182)) % 0.52/0.79 (step @p151 :rule ho_cong :premises (@p150 @p145)) % 0.52/0.79 (step @p152 :rule trans :premises (@p151 @p144)) % 0.52/0.79 (step @p153 :rule refl :args (@t158)) % 0.52/0.79 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t183)) % 0.52/0.79 (step @p155 :rule trans :premises (@p154 @p143)) % 0.52/0.79 (step @p156 :rule cong :premises (@p155) :args (@t184)) % 0.52/0.79 (step @p157 :rule trans :premises (@p156 @p142)) % 0.52/0.79 (step @p158 :rule refl :args (@t161)) % 0.52/0.79 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t185)) % 0.52/0.79 (step @p160 :rule cong :premises (@p159) :args (@t186)) % 0.52/0.79 (step @p161 :rule beta-reduce :args ((= (_ @t190 @t182) @t186))) % 0.52/0.79 (step @p162 :rule trans :premises (@p161 @p160)) % 0.52/0.79 (step @p163 :rule refl :args (@t179)) % 0.52/0.79 (step @p164 :rule refl :args (@t191)) % 0.52/0.79 (step @p165 :rule cong :premises (@p164 @p163) :args ((= @t191 @t179))) % 0.52/0.79 (step @p166 :rule symm :premises (@p165)) % 0.52/0.79 (step @p167 :rule eq_resolve :premises (@p164 @p166)) % 0.52/0.79 (step @p168 :rule nary_cong :premises (@p135 @p167) :args (@t192)) % 0.52/0.79 (step @p169 :rule cong :premises (@p168) :args ((forall @t47 @t192))) % 0.52/0.79 (step @p170 :rule beta-reduce :args ((= @t193 @t191))) % 0.52/0.79 (step @p171 :rule nary_cong :premises (@p153 @p170) :args (@t194)) % 0.52/0.79 (step @p172 :rule cong :premises (@p171) :args (@t195)) % 0.52/0.79 (step @p173 :rule trans :premises (@p172 @p169)) % 0.52/0.79 (step @p174 :rule nary_cong :premises (@p158 @p173) :args (@t196)) % 0.52/0.79 (step @p175 :rule cong :premises (@p174) :args (@t197)) % 0.52/0.79 (step @p176 :rule beta-reduce :args ((= (_ @t190 @t131) @t197))) % 0.52/0.79 (step @p177 :rule trans :premises (@p176 @p175)) % 0.52/0.79 (step @p178 :rule refl :args (@t188)) % 0.52/0.79 (step @p179 :rule refl :args (@t126)) % 0.52/0.79 (step @p180 :rule refl :args (@t198)) % 0.52/0.79 (step @p181 :rule cong :premises (@p180 @p179) :args ((= @t198 @t126))) % 0.52/0.79 (step @p182 :rule symm :premises (@p181)) % 0.52/0.79 (step @p183 :rule eq_resolve :premises (@p180 @p182)) % 0.52/0.79 (step @p184 :rule nary_cong :premises (@p135 @p183) :args (@t199)) % 0.52/0.79 (step @p185 :rule cong :premises (@p184) :args ((forall @t47 @t199))) % 0.52/0.79 (step @p186 :rule beta-reduce :args ((= @t201 @t198))) % 0.52/0.79 (step @p187 :rule nary_cong :premises (@p153 @p186) :args (@t202)) % 0.52/0.79 (step @p188 :rule cong :premises (@p187) :args (@t203)) % 0.52/0.79 (step @p189 :rule trans :premises (@p188 @p185)) % 0.52/0.79 (step @p190 :rule cong :premises (@p189) :args (@t204)) % 0.52/0.79 (step @p191 :rule nary_cong :premises (@p190 @p178) :args (@t205)) % 0.52/0.79 (step @p192 :rule cong :premises (@p191) :args (@t206)) % 0.52/0.79 (step @p193 :rule beta-reduce :args ((= (_ @t211 @t200) @t206))) % 0.52/0.79 (step @p194 :rule trans :premises (@p193 @p192)) % 0.52/0.79 (step @p195 :rule beta-reduce :args ((= (_ @t52 tptp.p1) @t200))) % 0.52/0.79 (step @p196 :rule refl :args (@t211)) % 0.52/0.79 (step @p197 :rule ho_cong :premises (@p196 @p195)) % 0.52/0.79 (step @p198 :rule trans :premises (@p197 @p194)) % 0.52/0.79 (step @p199 :rule ho_cong :premises (@p198 @p102)) % 0.52/0.79 (step @p200 :rule trans :premises (@p199 @p177)) % 0.52/0.79 (step @p201 :rule ho_cong :premises (@p198 @p200)) % 0.52/0.79 (step @p202 :rule trans :premises (@p201 @p162)) % 0.52/0.79 (step @p203 :rule ho_cong :premises (@p47 @p202)) % 0.52/0.79 (step @p204 :rule trans :premises (@p203 @p129)) % 0.52/0.79 (step @p205 :rule refl :args (tptp.p1)) % 0.52/0.79 (step @p206 :rule ho_cong :premises (@p22 @p205)) % 0.52/0.79 (step @p207 :rule beta-reduce :args ((= (_ (lambda @t79 @t210) @t40) @t210))) % 0.52/0.79 (step @p208 :rule refl :args (@t40)) % 0.52/0.79 (step @p209 :rule beta-reduce :args ((= @t215 @t188))) % 0.52/0.79 (step @p210 :rule refl :args (@t209)) % 0.52/0.79 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t216)) % 0.52/0.79 (step @p212 :rule cong :premises (@p211) :args (@t217)) % 0.52/0.79 (step @p213 :rule beta-reduce :args ((= (_ (lambda @t219 (or @t209 @t218)) @t214) @t217))) % 0.52/0.79 (step @p214 :rule trans :premises (@p213 @p212)) % 0.52/0.79 (step @p215 :rule beta-reduce :args ((= (_ @t221 @t58) @t214))) % 0.52/0.79 (step @p216 :rule refl :args (@t218)) % 0.52/0.79 (step @p217 :rule beta-reduce :args ((= @t223 @t208))) % 0.52/0.79 (step @p218 :rule cong :premises (@p217) :args (@t224)) % 0.52/0.79 (step @p219 :rule nary_cong :premises (@p218 @p216) :args (@t225)) % 0.52/0.79 (step @p220 :rule cong :premises (@p219) :args (@t226)) % 0.52/0.79 (step @p221 :rule beta-reduce :args ((= (_ @t228 @t222) @t226))) % 0.52/0.79 (step @p222 :rule trans :premises (@p221 @p220)) % 0.52/0.79 (step @p223 :rule beta-reduce :args ((= (_ @t221 @t45) @t222))) % 0.52/0.79 (step @p224 :rule refl :args (@t228)) % 0.52/0.79 (step @p225 :rule ho_cong :premises (@p224 @p223)) % 0.52/0.79 (step @p226 :rule trans :premises (@p225 @p222)) % 0.52/0.79 (step @p227 :rule ho_cong :premises (@p226 @p215)) % 0.52/0.79 (step @p228 :rule trans :premises (@p227 @p214)) % 0.52/0.79 (step @p229 :rule ho_cong :premises (@p228 @p208)) % 0.52/0.79 (step @p230 :rule trans :premises (@p229 @p207)) % 0.52/0.79 (step @p231 :rule refl :args (@t58)) % 0.52/0.79 (step @p232 :rule refl :args (@t207)) % 0.52/0.79 (step @p233 :rule refl :args (@t46)) % 0.52/0.79 (step @p234 :rule cong :premises (@p233 @p232) :args ((= @t46 @t207))) % 0.52/0.79 (step @p235 :rule symm :premises (@p234)) % 0.52/0.79 (step @p236 :rule eq_resolve :premises (@p233 @p235)) % 0.52/0.79 (step @p237 :rule refl :args (@t212)) % 0.52/0.79 (step @p238 :rule refl :args (@t8)) % 0.52/0.79 (step @p239 :rule cong :premises (@p238 @p237) :args ((= @t8 @t212))) % 0.52/0.79 (step @p240 :rule symm :premises (@p239)) % 0.52/0.79 (step @p241 :rule eq_resolve :premises (@p238 @p240)) % 0.52/0.79 (step @p242 :rule cong :premises (@p241) :args (@t229)) % 0.52/0.79 (step @p243 :rule nary_cong :premises (@p242 @p236) :args (@t230)) % 0.52/0.79 (step @p244 :rule cong :premises (@p243) :args ((forall @t47 @t230))) % 0.52/0.79 (step @p245 :rule bool-impl-elim :args (@t8 @t46)) % 0.52/0.79 (step @p246 :rule cong :premises (@p245) :args (@t48)) % 0.52/0.79 (step @p247 :rule trans :premises (@p246 @p244)) % 0.52/0.79 (step @p248 :rule cong :premises (@p247) :args (@t50)) % 0.52/0.79 (step @p249 :rule trans :premises (@p21 @p248)) % 0.52/0.79 (step @p250 :rule ho_cong :premises (@p249 @p231)) % 0.52/0.79 (step @p251 :rule refl :args (@t45)) % 0.52/0.79 (step @p252 :rule ho_cong :premises (@p249 @p251)) % 0.52/0.79 (step @p253 :rule beta-reduce :args ((= (_ @t233 @t40) @t227))) % 0.52/0.79 (step @p254 :rule beta-reduce :args ((= (_ (lambda @t234 (or @t231 @t36)) @t41) @t233))) % 0.52/0.79 (step @p255 :rule refl :args (@t41)) % 0.52/0.79 (step @p256 :rule refl :args (@t36)) % 0.52/0.79 (step @p257 :rule beta-reduce :args ((= @t236 @t231))) % 0.52/0.79 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t237)) % 0.52/0.79 (step @p259 :rule cong :premises (@p258) :args (@t238)) % 0.52/0.79 (step @p260 :rule beta-reduce :args ((= (_ @t38 @t235) @t238))) % 0.52/0.79 (step @p261 :rule trans :premises (@p260 @p259)) % 0.52/0.79 (step @p262 :rule beta-reduce :args ((= (_ @t34 @t42) @t235))) % 0.52/0.79 (step @p263 :rule refl :args (@t38)) % 0.52/0.79 (step @p264 :rule ho_cong :premises (@p263 @p262)) % 0.52/0.79 (step @p265 :rule trans :premises (@p264 @p261)) % 0.52/0.79 (step @p266 :rule ho_cong :premises (@p265 @p255)) % 0.52/0.79 (step @p267 :rule trans :premises (@p266 @p254)) % 0.52/0.79 (step @p268 :rule ho_cong :premises (@p267 @p208)) % 0.52/0.79 (step @p269 :rule trans :premises (@p268 @p253)) % 0.52/0.79 (step @p270 :rule refl :args (@t42)) % 0.52/0.79 (step @p271 :rule ho_cong :premises (@p17 @p270)) % 0.52/0.79 (step @p272 :rule ho_cong :premises (@p18 @p271)) % 0.52/0.79 (step @p273 :rule ho_cong :premises (@p272 @p255)) % 0.52/0.79 (step @p274 :rule ho_cong :premises (@p273 @p208)) % 0.52/0.79 (step @p275 :rule trans :premises (@p274 @p269)) % 0.52/0.79 (step @p276 :rule cong :premises (@p275) :args (@t44)) % 0.52/0.79 (step @p277 :rule trans :premises (@p20 @p276)) % 0.52/0.79 (step @p278 :rule ho_cong :premises (@p277 @p252)) % 0.52/0.79 (step @p279 :rule ho_cong :premises (@p278 @p250)) % 0.52/0.79 (step @p280 :rule ho_cong :premises (@p279 @p208)) % 0.52/0.79 (step @p281 :rule trans :premises (@p280 @p230)) % 0.52/0.79 (step @p282 :rule cong :premises (@p281) :args (@t63)) % 0.52/0.79 (step @p283 :rule trans :premises (@p27 @p282)) % 0.52/0.79 (step @p284 :rule ho_cong :premises (@p283 @p206)) % 0.52/0.79 (step @p285 :rule ho_cong :premises (@p284 @p107)) % 0.52/0.79 (step @p286 :rule ho_cong :premises (@p284 @p285)) % 0.52/0.79 (step @p287 :rule ho_cong :premises (@p59 @p286)) % 0.52/0.79 (step @p288 :rule trans :premises (@p287 @p204)) % 0.52/0.79 (step @p289 :rule eq_resolve :premises (@p5 @p288)) % 0.52/0.79 (step @p290 :rule instantiate :premises (@p289) :args ((@list @t87 @t87 @t87))) % 0.52/0.79 (step @p291 :rule cnf_or_pos :args (@t245)) % 0.52/0.79 (step @p292 :rule factoring :premises (@p291)) % 0.52/0.79 (step @p293 :rule reordering :premises (@p292) :args ((or @t239 @t241 @t244 @t243 (not @t245)))) % 0.52/0.79 (step @p294 :rule chain_m_resolution :premises (@p293 @p290 @p72 @p112 @p90) :args (@t244 (@list false false true false) (@list @t245 @t240 @t239 @t242))) % 0.52/0.79 (step @p295 :rule skolemize :premises (@p294)) % 0.52/0.79 (step @p296 :rule bool-double-not-elim :args (@t247)) % 0.52/0.79 (step @p297 :rule refl :args (@t250)) % 0.52/0.79 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or @t250 (not @t249)))) % 0.52/0.79 (step @p299 :rule cnf_or_neg :args (@t250 0)) % 0.52/0.79 (step @p300 :rule eq_resolve :premises (@p299 @p298)) % 0.52/0.79 (step @p301 :rule reordering :premises (@p300) :args ((or @t247 @t250))) % 0.52/0.79 (step @p302 :rule chain_m_resolution :premises (@p301 @p295) :args (@t247 @t251 @t252)) % 0.52/0.79 (step @p303 :rule cnf_or_neg :args (@t250 1)) % 0.52/0.79 (step @p304 :rule chain_m_resolution :premises (@p303 @p295) :args ((not @t248) @t251 @t252)) % 0.52/0.79 (step @p305 :rule aci_norm :args ((= @t263 (or @t261 @t260 @t259 @t256 @t254)))) % 0.52/0.79 (step @p306 :rule cong :premises (@p305) :args (@t264)) % 0.52/0.79 (step @p307 :rule quant-merge-prenex :args ((= (forall @t56 @t266) @t264))) % 0.52/0.79 (step @p308 :rule alpha_equiv :args (@t267 (@list @t255 @t253) (@list @t7 @t268))) % 0.52/0.79 (step @p309 :rule refl :args (@t261)) % 0.52/0.79 (step @p310 :rule nary_cong :premises (@p309 @p308) :args (@t269)) % 0.52/0.79 (step @p311 :rule quant-miniscope-or :args ((= @t266 @t269))) % 0.52/0.79 (step @p312 :rule trans :premises (@p311 @p310)) % 0.52/0.79 (step @p313 :rule symm :premises (@p312)) % 0.52/0.79 (step @p314 :rule cong :premises (@p313) :args ((forall @t56 @t274))) % 0.52/0.79 (step @p315 :rule trans :premises (@p314 @p307)) % 0.52/0.79 (step @p316 :rule trans :premises (@p315 @p306)) % 0.52/0.79 (step @p317 :rule beta-reduce :args ((= @t279 @t274))) % 0.52/0.79 (step @p318 :rule cong :premises (@p317) :args (@t280)) % 0.52/0.79 (step @p319 :rule trans :premises (@p318 @p316)) % 0.52/0.79 (step @p320 :rule beta-reduce :args ((= (_ @t84 @t278) @t280))) % 0.52/0.79 (step @p321 :rule trans :premises (@p320 @p319)) % 0.52/0.79 (step @p322 :rule aci_norm :args ((= @t282 @t275))) % 0.52/0.79 (step @p323 :rule cong :premises (@p322) :args (@t283)) % 0.52/0.79 (step @p324 :rule quant-merge-prenex :args ((= (forall @t47 @t285) @t283))) % 0.52/0.79 (step @p325 :rule alpha_equiv :args (@t286 (@list @t268) @t288)) % 0.52/0.79 (step @p326 :rule refl :args (@t272)) % 0.52/0.79 (step @p327 :rule nary_cong :premises (@p135 @p326 @p325) :args (@t289)) % 0.52/0.79 (step @p328 :rule quant-miniscope-or :args ((= @t285 @t289))) % 0.52/0.79 (step @p329 :rule trans :premises (@p328 @p327)) % 0.52/0.79 (step @p330 :rule symm :premises (@p329)) % 0.52/0.79 (step @p331 :rule cong :premises (@p330) :args ((forall @t47 @t293))) % 0.52/0.79 (step @p332 :rule trans :premises (@p331 @p324)) % 0.52/0.79 (step @p333 :rule trans :premises (@p332 @p323)) % 0.52/0.79 (step @p334 :rule aci_norm :args ((= (or @t158 @t294) @t293))) % 0.52/0.79 (step @p335 :rule beta-reduce :args ((= (_ (lambda @t79 (or (not (forall @t258 (or (not (tptp.irel @t40 @t124)) @t257))) (forall @t291 (or (not (tptp.irel @t40 @t287)) @t290)))) @t7) @t294))) % 0.52/0.79 (step @p336 :rule alpha_equiv :args (@t160 @t90 @t288)) % 0.52/0.79 (step @p337 :rule alpha_equiv :args (@t276 @t90 @t125)) % 0.52/0.79 (step @p338 :rule cong :premises (@p337) :args (@t277)) % 0.52/0.79 (step @p339 :rule nary_cong :premises (@p338 @p336) :args (@t295)) % 0.52/0.79 (step @p340 :rule cong :premises (@p339) :args (@t296)) % 0.52/0.79 (step @p341 :rule ho_cong :premises (@p340 @p145)) % 0.52/0.79 (step @p342 :rule trans :premises (@p341 @p335)) % 0.52/0.79 (step @p343 :rule nary_cong :premises (@p153 @p342) :args (@t297)) % 0.52/0.79 (step @p344 :rule trans :premises (@p343 @p334)) % 0.52/0.79 (step @p345 :rule cong :premises (@p344) :args (@t298)) % 0.52/0.79 (step @p346 :rule trans :premises (@p345 @p333)) % 0.52/0.79 (step @p347 :rule refl :args (@t277)) % 0.52/0.79 (step @p348 :rule nary_cong :premises (@p347 @p346) :args (@t299)) % 0.52/0.79 (step @p349 :rule cong :premises (@p348) :args (@t300)) % 0.52/0.79 (step @p350 :rule beta-reduce :args ((= (_ @t301 @t296) @t300))) % 0.52/0.79 (step @p351 :rule trans :premises (@p350 @p349)) % 0.52/0.79 (step @p352 :rule nary_cong :premises (@p347 @p189) :args (@t302)) % 0.52/0.79 (step @p353 :rule cong :premises (@p352) :args (@t303)) % 0.52/0.79 (step @p354 :rule beta-reduce :args ((= (_ @t301 @t200) @t303))) % 0.52/0.79 (step @p355 :rule trans :premises (@p354 @p353)) % 0.52/0.79 (step @p356 :rule refl :args (@t122)) % 0.52/0.79 (step @p357 :rule refl :args (@t304)) % 0.52/0.79 (step @p358 :rule cong :premises (@p357 @p356) :args ((= @t304 @t122))) % 0.52/0.79 (step @p359 :rule symm :premises (@p358)) % 0.52/0.79 (step @p360 :rule eq_resolve :premises (@p357 @p359)) % 0.52/0.79 (step @p361 :rule nary_cong :premises (@p135 @p360) :args (@t305)) % 0.52/0.79 (step @p362 :rule cong :premises (@p361) :args ((forall @t47 @t305))) % 0.52/0.79 (step @p363 :rule beta-reduce :args ((= @t307 @t304))) % 0.52/0.79 (step @p364 :rule nary_cong :premises (@p153 @p363) :args (@t308)) % 0.52/0.79 (step @p365 :rule cong :premises (@p364) :args (@t309)) % 0.52/0.79 (step @p366 :rule trans :premises (@p365 @p362)) % 0.52/0.79 (step @p367 :rule cong :premises (@p366) :args (@t310)) % 0.52/0.79 (step @p368 :rule nary_cong :premises (@p367 @p178) :args (@t311)) % 0.52/0.79 (step @p369 :rule cong :premises (@p368) :args (@t312)) % 0.52/0.79 (step @p370 :rule beta-reduce :args ((= (_ @t211 @t306) @t312))) % 0.52/0.79 (step @p371 :rule trans :premises (@p370 @p369)) % 0.52/0.79 (step @p372 :rule beta-reduce :args ((= (_ @t52 tptp.p2) @t306))) % 0.52/0.79 (step @p373 :rule ho_cong :premises (@p196 @p372)) % 0.52/0.79 (step @p374 :rule trans :premises (@p373 @p371)) % 0.52/0.79 (step @p375 :rule ho_cong :premises (@p374 @p195)) % 0.52/0.79 (step @p376 :rule trans :premises (@p375 @p355)) % 0.52/0.79 (step @p377 :rule ho_cong :premises (@p374 @p376)) % 0.52/0.79 (step @p378 :rule trans :premises (@p377 @p351)) % 0.52/0.79 (step @p379 :rule ho_cong :premises (@p47 @p378)) % 0.52/0.79 (step @p380 :rule trans :premises (@p379 @p321)) % 0.52/0.79 (step @p381 :rule refl :args (tptp.p2)) % 0.52/0.79 (step @p382 :rule ho_cong :premises (@p22 @p381)) % 0.52/0.79 (step @p383 :rule ho_cong :premises (@p283 @p382)) % 0.52/0.79 (step @p384 :rule ho_cong :premises (@p383 @p206)) % 0.52/0.79 (step @p385 :rule ho_cong :premises (@p383 @p384)) % 0.52/0.79 (step @p386 :rule ho_cong :premises (@p59 @p385)) % 0.52/0.79 (step @p387 :rule trans :premises (@p386 @p380)) % 0.52/0.79 (step @p388 :rule eq_resolve :premises (@p6 @p387)) % 0.52/0.79 (step @p389 :rule instantiate :premises (@p388) :args ((@list @t87 @t87 @t246))) % 0.52/0.79 (step @p390 :rule cnf_or_pos :args (@t316)) % 0.52/0.79 (step @p391 :rule reordering :premises (@p390) :args ((or @t241 @t315 @t314 @t249 @t248 (not @t316)))) % 0.52/0.79 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p304 @p302 @p72 @p88) :args (@t315 @t317 (@list @t316 @t248 @t247 @t240 @t313))) % 0.52/0.79 (step @p393 :rule skolemize :premises (@p392)) % 0.52/0.79 (step @p394 :rule bool-double-not-elim :args (@t319)) % 0.52/0.79 (step @p395 :rule refl :args (@t322)) % 0.52/0.79 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or @t322 (not @t321)))) % 0.52/0.79 (step @p397 :rule cnf_or_neg :args (@t322 0)) % 0.52/0.79 (step @p398 :rule eq_resolve :premises (@p397 @p396)) % 0.52/0.79 (step @p399 :rule reordering :premises (@p398) :args ((or @t319 @t322))) % 0.52/0.79 (step @p400 :rule chain_m_resolution :premises (@p399 @p393) :args (@t319 @t251 @t323)) % 0.52/0.79 (step @p401 :rule cnf_or_neg :args (@t322 1)) % 0.52/0.79 (step @p402 :rule chain_m_resolution :premises (@p401 @p393) :args ((not @t320) @t251 @t323)) % 0.52/0.79 (step @p403 :rule aci_norm :args ((= @t334 (or @t332 @t331 @t330 @t327 @t325)))) % 0.52/0.79 (step @p404 :rule cong :premises (@p403) :args (@t335)) % 0.52/0.79 (step @p405 :rule quant-merge-prenex :args ((= (forall @t56 @t337) @t335))) % 0.52/0.79 (step @p406 :rule alpha_equiv :args (@t338 (@list @t326 @t324) (@list @t7 @t339))) % 0.52/0.79 (step @p407 :rule refl :args (@t332)) % 0.52/0.79 (step @p408 :rule nary_cong :premises (@p407 @p406) :args (@t340)) % 0.52/0.79 (step @p409 :rule quant-miniscope-or :args ((= @t337 @t340))) % 0.52/0.79 (step @p410 :rule trans :premises (@p409 @p408)) % 0.52/0.79 (step @p411 :rule symm :premises (@p410)) % 0.52/0.79 (step @p412 :rule cong :premises (@p411) :args ((forall @t56 @t345))) % 0.52/0.79 (step @p413 :rule trans :premises (@p412 @p405)) % 0.52/0.79 (step @p414 :rule trans :premises (@p413 @p404)) % 0.52/0.79 (step @p415 :rule beta-reduce :args ((= @t350 @t345))) % 0.52/0.79 (step @p416 :rule cong :premises (@p415) :args (@t351)) % 0.52/0.79 (step @p417 :rule trans :premises (@p416 @p414)) % 0.52/0.79 (step @p418 :rule beta-reduce :args ((= (_ @t84 @t349) @t351))) % 0.52/0.79 (step @p419 :rule trans :premises (@p418 @p417)) % 0.52/0.79 (step @p420 :rule aci_norm :args ((= @t353 @t346))) % 0.52/0.79 (step @p421 :rule cong :premises (@p420) :args (@t354)) % 0.52/0.79 (step @p422 :rule quant-merge-prenex :args ((= (forall @t47 @t356) @t354))) % 0.52/0.79 (step @p423 :rule alpha_equiv :args (@t357 (@list @t339) @t359)) % 0.52/0.79 (step @p424 :rule refl :args (@t343)) % 0.52/0.79 (step @p425 :rule nary_cong :premises (@p135 @p424 @p423) :args (@t360)) % 0.52/0.79 (step @p426 :rule quant-miniscope-or :args ((= @t356 @t360))) % 0.52/0.79 (step @p427 :rule trans :premises (@p426 @p425)) % 0.52/0.79 (step @p428 :rule symm :premises (@p427)) % 0.52/0.79 (step @p429 :rule cong :premises (@p428) :args ((forall @t47 @t364))) % 0.52/0.79 (step @p430 :rule trans :premises (@p429 @p422)) % 0.52/0.79 (step @p431 :rule trans :premises (@p430 @p421)) % 0.52/0.79 (step @p432 :rule aci_norm :args ((= (or @t158 @t365) @t364))) % 0.52/0.79 (step @p433 :rule beta-reduce :args ((= (_ (lambda @t79 (or (not (forall @t329 (or (not (tptp.irel @t40 @t120)) @t328))) (forall @t362 (or (not (tptp.irel @t40 @t358)) @t361)))) @t7) @t365))) % 0.52/0.79 (step @p434 :rule alpha_equiv :args (@t276 @t90 @t359)) % 0.52/0.79 (step @p435 :rule alpha_equiv :args (@t347 @t90 @t121)) % 0.52/0.79 (step @p436 :rule cong :premises (@p435) :args (@t348)) % 0.52/0.79 (step @p437 :rule nary_cong :premises (@p436 @p434) :args (@t366)) % 0.52/0.79 (step @p438 :rule cong :premises (@p437) :args (@t367)) % 0.52/0.79 (step @p439 :rule ho_cong :premises (@p438 @p145)) % 0.52/0.79 (step @p440 :rule trans :premises (@p439 @p433)) % 0.52/0.79 (step @p441 :rule nary_cong :premises (@p153 @p440) :args (@t368)) % 0.52/0.79 (step @p442 :rule trans :premises (@p441 @p432)) % 0.52/0.79 (step @p443 :rule cong :premises (@p442) :args (@t369)) % 0.52/0.79 (step @p444 :rule trans :premises (@p443 @p431)) % 0.52/0.79 (step @p445 :rule refl :args (@t348)) % 0.52/0.79 (step @p446 :rule nary_cong :premises (@p445 @p444) :args (@t370)) % 0.52/0.79 (step @p447 :rule cong :premises (@p446) :args (@t371)) % 0.52/0.79 (step @p448 :rule beta-reduce :args ((= (_ @t372 @t367) @t371))) % 0.52/0.79 (step @p449 :rule trans :premises (@p448 @p447)) % 0.52/0.79 (step @p450 :rule nary_cong :premises (@p445 @p366) :args (@t373)) % 0.52/0.79 (step @p451 :rule cong :premises (@p450) :args (@t374)) % 0.52/0.79 (step @p452 :rule beta-reduce :args ((= (_ @t372 @t306) @t374))) % 0.52/0.79 (step @p453 :rule trans :premises (@p452 @p451)) % 0.52/0.79 (step @p454 :rule refl :args (@t118)) % 0.52/0.79 (step @p455 :rule refl :args (@t375)) % 0.52/0.79 (step @p456 :rule cong :premises (@p455 @p454) :args ((= @t375 @t118))) % 0.52/0.79 (step @p457 :rule symm :premises (@p456)) % 0.52/0.79 (step @p458 :rule eq_resolve :premises (@p455 @p457)) % 0.52/0.79 (step @p459 :rule nary_cong :premises (@p135 @p458) :args (@t376)) % 0.52/0.79 (step @p460 :rule cong :premises (@p459) :args ((forall @t47 @t376))) % 0.52/0.79 (step @p461 :rule beta-reduce :args ((= @t378 @t375))) % 0.52/0.79 (step @p462 :rule nary_cong :premises (@p153 @p461) :args (@t379)) % 0.52/0.79 (step @p463 :rule cong :premises (@p462) :args (@t380)) % 0.52/0.79 (step @p464 :rule trans :premises (@p463 @p460)) % 0.52/0.79 (step @p465 :rule cong :premises (@p464) :args (@t381)) % 0.52/0.79 (step @p466 :rule nary_cong :premises (@p465 @p178) :args (@t382)) % 0.52/0.79 (step @p467 :rule cong :premises (@p466) :args (@t383)) % 0.52/0.79 (step @p468 :rule beta-reduce :args ((= (_ @t211 @t377) @t383))) % 0.52/0.79 (step @p469 :rule trans :premises (@p468 @p467)) % 0.52/0.79 (step @p470 :rule beta-reduce :args ((= (_ @t52 tptp.p3) @t377))) % 0.52/0.79 (step @p471 :rule ho_cong :premises (@p196 @p470)) % 0.52/0.79 (step @p472 :rule trans :premises (@p471 @p469)) % 0.52/0.79 (step @p473 :rule ho_cong :premises (@p472 @p372)) % 0.52/0.79 (step @p474 :rule trans :premises (@p473 @p453)) % 0.52/0.79 (step @p475 :rule ho_cong :premises (@p472 @p474)) % 0.52/0.79 (step @p476 :rule trans :premises (@p475 @p449)) % 0.52/0.79 (step @p477 :rule ho_cong :premises (@p47 @p476)) % 0.52/0.79 (step @p478 :rule trans :premises (@p477 @p419)) % 0.52/0.79 (step @p479 :rule refl :args (tptp.p3)) % 0.52/0.79 (step @p480 :rule ho_cong :premises (@p22 @p479)) % 0.52/0.79 (step @p481 :rule ho_cong :premises (@p283 @p480)) % 0.52/0.79 (step @p482 :rule ho_cong :premises (@p481 @p382)) % 0.52/0.79 (step @p483 :rule ho_cong :premises (@p481 @p482)) % 0.52/0.79 (step @p484 :rule ho_cong :premises (@p59 @p483)) % 0.52/0.79 (step @p485 :rule trans :premises (@p484 @p478)) % 0.52/0.79 (step @p486 :rule eq_resolve :premises (@p7 @p485)) % 0.52/0.79 (step @p487 :rule instantiate :premises (@p486) :args ((@list @t87 @t87 @t318))) % 0.52/0.79 (step @p488 :rule cnf_or_pos :args (@t387)) % 0.52/0.79 (step @p489 :rule reordering :premises (@p488) :args ((or @t241 @t386 @t385 @t321 @t320 (not @t387)))) % 0.52/0.79 (step @p490 :rule chain_m_resolution :premises (@p489 @p487 @p402 @p400 @p72 @p86) :args (@t386 @t317 (@list @t387 @t320 @t319 @t240 @t384))) % 0.52/0.79 (step @p491 :rule skolemize :premises (@p490)) % 0.52/0.79 (step @p492 :rule bool-double-not-elim :args (@t389)) % 0.52/0.79 (step @p493 :rule refl :args (@t392)) % 0.52/0.79 (step @p494 :rule nary_cong :premises (@p493 @p492) :args ((or @t392 (not @t391)))) % 0.52/0.79 (step @p495 :rule cnf_or_neg :args (@t392 0)) % 0.52/0.79 (step @p496 :rule eq_resolve :premises (@p495 @p494)) % 0.52/0.79 (step @p497 :rule reordering :premises (@p496) :args ((or @t389 @t392))) % 0.52/0.79 (step @p498 :rule chain_m_resolution :premises (@p497 @p491) :args (@t389 @t251 @t393)) % 0.52/0.79 (step @p499 :rule cnf_or_neg :args (@t392 1)) % 0.52/0.79 (step @p500 :rule chain_m_resolution :premises (@p499 @p491) :args ((not @t390) @t251 @t393)) % 0.52/0.79 (step @p501 :rule aci_norm :args ((= @t404 (or @t402 @t401 @t400 @t397 @t395)))) % 0.52/0.79 (step @p502 :rule cong :premises (@p501) :args (@t405)) % 0.52/0.79 (step @p503 :rule quant-merge-prenex :args ((= (forall @t56 @t407) @t405))) % 0.52/0.79 (step @p504 :rule alpha_equiv :args (@t408 (@list @t396 @t394) (@list @t7 @t409))) % 0.52/0.79 (step @p505 :rule refl :args (@t402)) % 0.52/0.79 (step @p506 :rule nary_cong :premises (@p505 @p504) :args (@t410)) % 0.52/0.79 (step @p507 :rule quant-miniscope-or :args ((= @t407 @t410))) % 0.52/0.79 (step @p508 :rule trans :premises (@p507 @p506)) % 0.52/0.79 (step @p509 :rule symm :premises (@p508)) % 0.52/0.79 (step @p510 :rule cong :premises (@p509) :args ((forall @t56 @t415))) % 0.52/0.79 (step @p511 :rule trans :premises (@p510 @p503)) % 0.52/0.79 (step @p512 :rule trans :premises (@p511 @p502)) % 0.52/0.79 (step @p513 :rule beta-reduce :args ((= @t420 @t415))) % 0.52/0.79 (step @p514 :rule cong :premises (@p513) :args (@t421)) % 0.52/0.79 (step @p515 :rule trans :premises (@p514 @p512)) % 0.52/0.79 (step @p516 :rule beta-reduce :args ((= (_ @t84 @t419) @t421))) % 0.52/0.79 (step @p517 :rule trans :premises (@p516 @p515)) % 0.52/0.79 (step @p518 :rule aci_norm :args ((= @t423 @t416))) % 0.52/0.79 (step @p519 :rule cong :premises (@p518) :args (@t424)) % 0.52/0.79 (step @p520 :rule quant-merge-prenex :args ((= (forall @t47 @t426) @t424))) % 0.52/0.79 (step @p521 :rule alpha_equiv :args (@t427 (@list @t409) @t429)) % 0.52/0.79 (step @p522 :rule refl :args (@t413)) % 0.52/0.79 (step @p523 :rule nary_cong :premises (@p135 @p522 @p521) :args (@t430)) % 0.52/0.79 (step @p524 :rule quant-miniscope-or :args ((= @t426 @t430))) % 0.52/0.79 (step @p525 :rule trans :premises (@p524 @p523)) % 0.52/0.79 (step @p526 :rule symm :premises (@p525)) % 0.52/0.79 (step @p527 :rule cong :premises (@p526) :args ((forall @t47 @t434))) % 0.52/0.79 (step @p528 :rule trans :premises (@p527 @p520)) % 0.52/0.79 (step @p529 :rule trans :premises (@p528 @p519)) % 0.52/0.79 (step @p530 :rule aci_norm :args ((= (or @t158 @t435) @t434))) % 0.52/0.79 (step @p531 :rule beta-reduce :args ((= (_ (lambda @t79 (or (not (forall @t399 (or (not (tptp.irel @t40 @t116)) @t398))) (forall @t432 (or (not (tptp.irel @t40 @t428)) @t431)))) @t7) @t435))) % 0.52/0.79 (step @p532 :rule alpha_equiv :args (@t347 @t90 @t429)) % 0.52/0.79 (step @p533 :rule alpha_equiv :args (@t417 @t90 @t117)) % 0.52/0.79 (step @p534 :rule cong :premises (@p533) :args (@t418)) % 0.52/0.79 (step @p535 :rule nary_cong :premises (@p534 @p532) :args (@t436)) % 0.52/0.79 (step @p536 :rule cong :premises (@p535) :args (@t437)) % 0.52/0.79 (step @p537 :rule ho_cong :premises (@p536 @p145)) % 0.52/0.79 (step @p538 :rule trans :premises (@p537 @p531)) % 0.52/0.79 (step @p539 :rule nary_cong :premises (@p153 @p538) :args (@t438)) % 0.52/0.79 (step @p540 :rule trans :premises (@p539 @p530)) % 0.52/0.79 (step @p541 :rule cong :premises (@p540) :args (@t439)) % 0.52/0.79 (step @p542 :rule trans :premises (@p541 @p529)) % 0.52/0.79 (step @p543 :rule refl :args (@t418)) % 0.52/0.79 (step @p544 :rule nary_cong :premises (@p543 @p542) :args (@t440)) % 0.52/0.79 (step @p545 :rule cong :premises (@p544) :args (@t441)) % 0.52/0.79 (step @p546 :rule beta-reduce :args ((= (_ @t442 @t437) @t441))) % 0.52/0.79 (step @p547 :rule trans :premises (@p546 @p545)) % 0.52/0.79 (step @p548 :rule nary_cong :premises (@p543 @p464) :args (@t443)) % 0.52/0.79 (step @p549 :rule cong :premises (@p548) :args (@t444)) % 0.52/0.79 (step @p550 :rule beta-reduce :args ((= (_ @t442 @t377) @t444))) % 0.52/0.79 (step @p551 :rule trans :premises (@p550 @p549)) % 0.52/0.79 (step @p552 :rule refl :args (@t114)) % 0.52/0.79 (step @p553 :rule refl :args (@t445)) % 0.52/0.79 (step @p554 :rule cong :premises (@p553 @p552) :args ((= @t445 @t114))) % 0.52/0.79 (step @p555 :rule symm :premises (@p554)) % 0.52/0.79 (step @p556 :rule eq_resolve :premises (@p553 @p555)) % 0.52/0.79 (step @p557 :rule nary_cong :premises (@p135 @p556) :args (@t446)) % 0.52/0.79 (step @p558 :rule cong :premises (@p557) :args ((forall @t47 @t446))) % 0.52/0.79 (step @p559 :rule beta-reduce :args ((= @t448 @t445))) % 0.52/0.79 (step @p560 :rule nary_cong :premises (@p153 @p559) :args (@t449)) % 0.52/0.79 (step @p561 :rule cong :premises (@p560) :args (@t450)) % 0.52/0.79 (step @p562 :rule trans :premises (@p561 @p558)) % 0.52/0.79 (step @p563 :rule cong :premises (@p562) :args (@t451)) % 0.52/0.79 (step @p564 :rule nary_cong :premises (@p563 @p178) :args (@t452)) % 0.52/0.79 (step @p565 :rule cong :premises (@p564) :args (@t453)) % 0.52/0.79 (step @p566 :rule beta-reduce :args ((= (_ @t211 @t447) @t453))) % 0.52/0.79 (step @p567 :rule trans :premises (@p566 @p565)) % 0.52/0.79 (step @p568 :rule beta-reduce :args ((= (_ @t52 tptp.p4) @t447))) % 0.52/0.79 (step @p569 :rule ho_cong :premises (@p196 @p568)) % 0.52/0.79 (step @p570 :rule trans :premises (@p569 @p567)) % 0.52/0.79 (step @p571 :rule ho_cong :premises (@p570 @p470)) % 0.52/0.79 (step @p572 :rule trans :premises (@p571 @p551)) % 0.52/0.79 (step @p573 :rule ho_cong :premises (@p570 @p572)) % 0.52/0.79 (step @p574 :rule trans :premises (@p573 @p547)) % 0.52/0.79 (step @p575 :rule ho_cong :premises (@p47 @p574)) % 0.52/0.79 (step @p576 :rule trans :premises (@p575 @p517)) % 0.52/0.79 (step @p577 :rule refl :args (tptp.p4)) % 0.52/0.79 (step @p578 :rule ho_cong :premises (@p22 @p577)) % 0.52/0.79 (step @p579 :rule ho_cong :premises (@p283 @p578)) % 0.52/0.79 (step @p580 :rule ho_cong :premises (@p579 @p480)) % 0.52/0.79 (step @p581 :rule ho_cong :premises (@p579 @p580)) % 0.52/0.79 (step @p582 :rule ho_cong :premises (@p59 @p581)) % 0.52/0.79 (step @p583 :rule trans :premises (@p582 @p576)) % 0.52/0.79 (step @p584 :rule eq_resolve :premises (@p8 @p583)) % 0.52/0.79 (step @p585 :rule instantiate :premises (@p584) :args ((@list @t87 @t87 @t388))) % 0.52/0.79 (step @p586 :rule cnf_or_pos :args (@t457)) % 0.52/0.79 (step @p587 :rule reordering :premises (@p586) :args ((or @t241 @t456 @t455 @t391 @t390 (not @t457)))) % 0.52/0.79 (step @p588 :rule chain_m_resolution :premises (@p587 @p585 @p500 @p498 @p72 @p84) :args (@t456 @t317 (@list @t457 @t390 @t389 @t240 @t454))) % 0.52/0.79 (step @p589 :rule skolemize :premises (@p588)) % 0.52/0.79 (step @p590 :rule bool-double-not-elim :args (@t459)) % 0.52/0.79 (step @p591 :rule refl :args (@t462)) % 0.52/0.79 (step @p592 :rule nary_cong :premises (@p591 @p590) :args ((or @t462 (not @t461)))) % 0.52/0.79 (step @p593 :rule cnf_or_neg :args (@t462 0)) % 0.52/0.79 (step @p594 :rule eq_resolve :premises (@p593 @p592)) % 0.52/0.79 (step @p595 :rule reordering :premises (@p594) :args ((or @t459 @t462))) % 0.52/0.79 (step @p596 :rule chain_m_resolution :premises (@p595 @p589) :args (@t459 @t251 @t463)) % 0.52/0.79 (step @p597 :rule cnf_or_neg :args (@t462 1)) % 0.52/0.79 (step @p598 :rule chain_m_resolution :premises (@p597 @p589) :args ((not @t460) @t251 @t463)) % 0.52/0.79 (step @p599 :rule aci_norm :args ((= @t474 (or @t472 @t471 @t470 @t467 @t465)))) % 0.52/0.79 (step @p600 :rule cong :premises (@p599) :args (@t475)) % 0.52/0.79 (step @p601 :rule quant-merge-prenex :args ((= (forall @t56 @t477) @t475))) % 0.52/0.79 (step @p602 :rule alpha_equiv :args (@t478 (@list @t466 @t464) (@list @t7 @t479))) % 0.52/0.79 (step @p603 :rule refl :args (@t472)) % 0.52/0.79 (step @p604 :rule nary_cong :premises (@p603 @p602) :args (@t480)) % 0.52/0.79 (step @p605 :rule quant-miniscope-or :args ((= @t477 @t480))) % 0.52/0.79 (step @p606 :rule trans :premises (@p605 @p604)) % 0.52/0.79 (step @p607 :rule symm :premises (@p606)) % 0.52/0.79 (step @p608 :rule cong :premises (@p607) :args ((forall @t56 @t485))) % 0.52/0.79 (step @p609 :rule trans :premises (@p608 @p601)) % 0.52/0.79 (step @p610 :rule trans :premises (@p609 @p600)) % 0.52/0.79 (step @p611 :rule beta-reduce :args ((= @t490 @t485))) % 0.52/0.79 (step @p612 :rule cong :premises (@p611) :args (@t491)) % 0.52/0.79 (step @p613 :rule trans :premises (@p612 @p610)) % 0.52/0.79 (step @p614 :rule beta-reduce :args ((= (_ @t84 @t489) @t491))) % 0.52/0.79 (step @p615 :rule trans :premises (@p614 @p613)) % 0.52/0.79 (step @p616 :rule aci_norm :args ((= @t493 @t486))) % 0.52/0.79 (step @p617 :rule cong :premises (@p616) :args (@t494)) % 0.52/0.79 (step @p618 :rule quant-merge-prenex :args ((= (forall @t47 @t496) @t494))) % 0.52/0.79 (step @p619 :rule alpha_equiv :args (@t497 (@list @t479) @t499)) % 0.52/0.79 (step @p620 :rule refl :args (@t483)) % 0.52/0.79 (step @p621 :rule nary_cong :premises (@p135 @p620 @p619) :args (@t500)) % 0.52/0.79 (step @p622 :rule quant-miniscope-or :args ((= @t496 @t500))) % 0.52/0.79 (step @p623 :rule trans :premises (@p622 @p621)) % 0.52/0.79 (step @p624 :rule symm :premises (@p623)) % 0.52/0.79 (step @p625 :rule cong :premises (@p624) :args ((forall @t47 @t504))) % 0.52/0.79 (step @p626 :rule trans :premises (@p625 @p618)) % 0.52/0.79 (step @p627 :rule trans :premises (@p626 @p617)) % 0.52/0.79 (step @p628 :rule aci_norm :args ((= (or @t158 @t505) @t504))) % 0.52/0.79 (step @p629 :rule beta-reduce :args ((= (_ (lambda @t79 (or (not (forall @t469 (or (not (tptp.irel @t40 @t112)) @t468))) (forall @t502 (or (not (tptp.irel @t40 @t498)) @t501)))) @t7) @t505))) % 0.52/0.79 (step @p630 :rule alpha_equiv :args (@t417 @t90 @t499)) % 0.52/0.79 (step @p631 :rule alpha_equiv :args (@t487 @t90 @t113)) % 0.52/0.79 (step @p632 :rule cong :premises (@p631) :args (@t488)) % 0.52/0.79 (step @p633 :rule nary_cong :premises (@p632 @p630) :args (@t506)) % 0.52/0.79 (step @p634 :rule cong :premises (@p633) :args (@t507)) % 0.52/0.79 (step @p635 :rule ho_cong :premises (@p634 @p145)) % 0.52/0.79 (step @p636 :rule trans :premises (@p635 @p629)) % 0.52/0.79 (step @p637 :rule nary_cong :premises (@p153 @p636) :args (@t508)) % 0.52/0.79 (step @p638 :rule trans :premises (@p637 @p628)) % 0.52/0.79 (step @p639 :rule cong :premises (@p638) :args (@t509)) % 0.52/0.79 (step @p640 :rule trans :premises (@p639 @p627)) % 0.52/0.79 (step @p641 :rule refl :args (@t488)) % 0.52/0.79 (step @p642 :rule nary_cong :premises (@p641 @p640) :args (@t510)) % 0.52/0.79 (step @p643 :rule cong :premises (@p642) :args (@t511)) % 0.52/0.79 (step @p644 :rule beta-reduce :args ((= (_ @t512 @t507) @t511))) % 0.52/0.79 (step @p645 :rule trans :premises (@p644 @p643)) % 0.52/0.79 (step @p646 :rule nary_cong :premises (@p641 @p562) :args (@t513)) % 0.52/0.79 (step @p647 :rule cong :premises (@p646) :args (@t514)) % 0.52/0.79 (step @p648 :rule beta-reduce :args ((= (_ @t512 @t447) @t514))) % 0.52/0.79 (step @p649 :rule trans :premises (@p648 @p647)) % 0.52/0.79 (step @p650 :rule refl :args (@t110)) % 0.52/0.79 (step @p651 :rule refl :args (@t515)) % 0.52/0.79 (step @p652 :rule cong :premises (@p651 @p650) :args ((= @t515 @t110))) % 0.52/0.79 (step @p653 :rule symm :premises (@p652)) % 0.52/0.79 (step @p654 :rule eq_resolve :premises (@p651 @p653)) % 0.52/0.79 (step @p655 :rule nary_cong :premises (@p135 @p654) :args (@t516)) % 0.52/0.79 (step @p656 :rule cong :premises (@p655) :args ((forall @t47 @t516))) % 0.52/0.79 (step @p657 :rule beta-reduce :args ((= @t518 @t515))) % 0.52/0.79 (step @p658 :rule nary_cong :premises (@p153 @p657) :args (@t519)) % 0.52/0.79 (step @p659 :rule cong :premises (@p658) :args (@t520)) % 0.52/0.79 (step @p660 :rule trans :premises (@p659 @p656)) % 0.52/0.79 (step @p661 :rule cong :premises (@p660) :args (@t521)) % 0.52/0.79 (step @p662 :rule nary_cong :premises (@p661 @p178) :args (@t522)) % 0.52/0.79 (step @p663 :rule cong :premises (@p662) :args (@t523)) % 0.52/0.79 (step @p664 :rule beta-reduce :args ((= (_ @t211 @t517) @t523))) % 0.52/0.79 (step @p665 :rule trans :premises (@p664 @p663)) % 0.52/0.79 (step @p666 :rule beta-reduce :args ((= (_ @t52 tptp.p5) @t517))) % 0.52/0.79 (step @p667 :rule ho_cong :premises (@p196 @p666)) % 0.52/0.79 (step @p668 :rule trans :premises (@p667 @p665)) % 0.52/0.79 (step @p669 :rule ho_cong :premises (@p668 @p568)) % 0.52/0.79 (step @p670 :rule trans :premises (@p669 @p649)) % 0.52/0.79 (step @p671 :rule ho_cong :premises (@p668 @p670)) % 0.52/0.79 (step @p672 :rule trans :premises (@p671 @p645)) % 0.52/0.79 (step @p673 :rule ho_cong :premises (@p47 @p672)) % 0.52/0.79 (step @p674 :rule trans :premises (@p673 @p615)) % 0.52/0.79 (step @p675 :rule refl :args (tptp.p5)) % 0.52/0.79 (step @p676 :rule ho_cong :premises (@p22 @p675)) % 0.52/0.79 (step @p677 :rule ho_cong :premises (@p283 @p676)) % 0.52/0.79 (step @p678 :rule ho_cong :premises (@p677 @p578)) % 0.52/0.79 (step @p679 :rule ho_cong :premises (@p677 @p678)) % 0.52/0.79 (step @p680 :rule ho_cong :premises (@p59 @p679)) % 0.52/0.79 (step @p681 :rule trans :premises (@p680 @p674)) % 0.52/0.79 (step @p682 :rule eq_resolve :premises (@p9 @p681)) % 0.52/0.79 (step @p683 :rule instantiate :premises (@p682) :args ((@list @t87 @t87 @t458))) % 0.52/0.79 (step @p684 :rule cnf_or_pos :args (@t527)) % 0.52/0.79 (step @p685 :rule reordering :premises (@p684) :args ((or @t241 @t526 @t525 @t461 @t460 (not @t527)))) % 0.52/0.79 (step @p686 :rule chain_m_resolution :premises (@p685 @p683 @p598 @p596 @p72 @p82) :args (@t526 @t317 (@list @t527 @t460 @t459 @t240 @t524))) % 0.52/0.79 (step @p687 :rule skolemize :premises (@p686)) % 0.52/0.79 (step @p688 :rule bool-double-not-elim :args (@t529)) % 0.52/0.79 (step @p689 :rule refl :args (@t532)) % 0.52/0.79 (step @p690 :rule nary_cong :premises (@p689 @p688) :args ((or @t532 (not @t531)))) % 0.52/0.79 (step @p691 :rule cnf_or_neg :args (@t532 0)) % 0.52/0.79 (step @p692 :rule eq_resolve :premises (@p691 @p690)) % 0.52/0.79 (step @p693 :rule reordering :premises (@p692) :args ((or @t529 @t532))) % 0.52/0.79 (step @p694 :rule chain_m_resolution :premises (@p693 @p687) :args (@t529 @t251 @t533)) % 0.52/0.79 (step @p695 :rule cnf_or_neg :args (@t532 1)) % 0.52/0.79 (step @p696 :rule chain_m_resolution :premises (@p695 @p687) :args ((not @t530) @t251 @t533)) % 0.52/0.79 (step @p697 :rule aci_norm :args ((= @t544 (or @t542 @t541 @t540 @t537 @t535)))) % 0.52/0.79 (step @p698 :rule cong :premises (@p697) :args (@t545)) % 0.52/0.79 (step @p699 :rule quant-merge-prenex :args ((= (forall @t56 @t547) @t545))) % 0.52/0.79 (step @p700 :rule alpha_equiv :args (@t548 (@list @t536 @t534) (@list @t7 @t549))) % 0.52/0.79 (step @p701 :rule refl :args (@t542)) % 0.52/0.79 (step @p702 :rule nary_cong :premises (@p701 @p700) :args (@t550)) % 0.52/0.79 (step @p703 :rule quant-miniscope-or :args ((= @t547 @t550))) % 0.52/0.79 (step @p704 :rule trans :premises (@p703 @p702)) % 0.52/0.79 (step @p705 :rule symm :premises (@p704)) % 0.52/0.79 (step @p706 :rule cong :premises (@p705) :args ((forall @t56 @t555))) % 0.52/0.79 (step @p707 :rule trans :premises (@p706 @p699)) % 0.52/0.79 (step @p708 :rule trans :premises (@p707 @p698)) % 0.52/0.79 (step @p709 :rule beta-reduce :args ((= @t560 @t555))) % 0.52/0.79 (step @p710 :rule cong :premises (@p709) :args (@t561)) % 0.52/0.79 (step @p711 :rule trans :premises (@p710 @p708)) % 0.52/0.79 (step @p712 :rule beta-reduce :args ((= (_ @t84 @t559) @t561))) % 0.52/0.79 (step @p713 :rule trans :premises (@p712 @p711)) % 0.52/0.79 (step @p714 :rule aci_norm :args ((= @t563 @t556))) % 0.52/0.79 (step @p715 :rule cong :premises (@p714) :args (@t564)) % 0.52/0.79 (step @p716 :rule quant-merge-prenex :args ((= (forall @t47 @t566) @t564))) % 0.52/0.79 (step @p717 :rule alpha_equiv :args (@t567 (@list @t549) @t569)) % 0.52/0.79 (step @p718 :rule refl :args (@t553)) % 0.52/0.79 (step @p719 :rule nary_cong :premises (@p135 @p718 @p717) :args (@t570)) % 0.52/0.79 (step @p720 :rule quant-miniscope-or :args ((= @t566 @t570))) % 0.52/0.79 (step @p721 :rule trans :premises (@p720 @p719)) % 0.52/0.79 (step @p722 :rule symm :premises (@p721)) % 0.52/0.79 (step @p723 :rule cong :premises (@p722) :args ((forall @t47 @t574))) % 0.52/0.79 (step @p724 :rule trans :premises (@p723 @p716)) % 0.52/0.79 (step @p725 :rule trans :premises (@p724 @p715)) % 0.52/0.79 (step @p726 :rule aci_norm :args ((= (or @t158 @t575) @t574))) % 0.52/0.79 (step @p727 :rule beta-reduce :args ((= (_ (lambda @t79 (or (not (forall @t539 (or (not (tptp.irel @t40 @t108)) @t538))) (forall @t572 (or (not (tptp.irel @t40 @t568)) @t571)))) @t7) @t575))) % 0.52/0.79 (step @p728 :rule alpha_equiv :args (@t487 @t90 @t569)) % 0.52/0.79 (step @p729 :rule alpha_equiv :args (@t557 @t90 @t109)) % 0.52/0.79 (step @p730 :rule cong :premises (@p729) :args (@t558)) % 0.52/0.79 (step @p731 :rule nary_cong :premises (@p730 @p728) :args (@t576)) % 0.52/0.79 (step @p732 :rule cong :premises (@p731) :args (@t577)) % 0.52/0.79 (step @p733 :rule ho_cong :premises (@p732 @p145)) % 0.52/0.79 (step @p734 :rule trans :premises (@p733 @p727)) % 0.52/0.79 (step @p735 :rule nary_cong :premises (@p153 @p734) :args (@t578)) % 0.52/0.79 (step @p736 :rule trans :premises (@p735 @p726)) % 0.52/0.79 (step @p737 :rule cong :premises (@p736) :args (@t579)) % 0.52/0.79 (step @p738 :rule trans :premises (@p737 @p725)) % 0.52/0.79 (step @p739 :rule refl :args (@t558)) % 0.52/0.79 (step @p740 :rule nary_cong :premises (@p739 @p738) :args (@t580)) % 0.52/0.79 (step @p741 :rule cong :premises (@p740) :args (@t581)) % 0.52/0.79 (step @p742 :rule beta-reduce :args ((= (_ @t582 @t577) @t581))) % 0.52/0.79 (step @p743 :rule trans :premises (@p742 @p741)) % 0.52/0.79 (step @p744 :rule nary_cong :premises (@p739 @p660) :args (@t583)) % 0.52/0.79 (step @p745 :rule cong :premises (@p744) :args (@t584)) % 0.52/0.79 (step @p746 :rule beta-reduce :args ((= (_ @t582 @t517) @t584))) % 0.52/0.79 (step @p747 :rule trans :premises (@p746 @p745)) % 0.52/0.79 (step @p748 :rule refl :args (@t106)) % 0.52/0.79 (step @p749 :rule refl :args (@t585)) % 0.52/0.79 (step @p750 :rule cong :premises (@p749 @p748) :args ((= @t585 @t106))) % 0.52/0.79 (step @p751 :rule symm :premises (@p750)) % 0.52/0.79 (step @p752 :rule eq_resolve :premises (@p749 @p751)) % 0.52/0.79 (step @p753 :rule nary_cong :premises (@p135 @p752) :args (@t586)) % 0.52/0.79 (step @p754 :rule cong :premises (@p753) :args ((forall @t47 @t586))) % 0.52/0.79 (step @p755 :rule beta-reduce :args ((= @t588 @t585))) % 0.52/0.79 (step @p756 :rule nary_cong :premises (@p153 @p755) :args (@t589)) % 0.52/0.79 (step @p757 :rule cong :premises (@p756) :args (@t590)) % 0.52/0.79 (step @p758 :rule trans :premises (@p757 @p754)) % 0.52/0.79 (step @p759 :rule cong :premises (@p758) :args (@t591)) % 0.52/0.79 (step @p760 :rule nary_cong :premises (@p759 @p178) :args (@t592)) % 0.52/0.79 (step @p761 :rule cong :premises (@p760) :args (@t593)) % 0.52/0.79 (step @p762 :rule beta-reduce :args ((= (_ @t211 @t587) @t593))) % 0.52/0.79 (step @p763 :rule trans :premises (@p762 @p761)) % 0.52/0.79 (step @p764 :rule beta-reduce :args ((= (_ @t52 tptp.p6) @t587))) % 0.52/0.79 (step @p765 :rule ho_cong :premises (@p196 @p764)) % 0.52/0.79 (step @p766 :rule trans :premises (@p765 @p763)) % 0.52/0.79 (step @p767 :rule ho_cong :premises (@p766 @p666)) % 0.52/0.79 (step @p768 :rule trans :premises (@p767 @p747)) % 0.52/0.79 (step @p769 :rule ho_cong :premises (@p766 @p768)) % 0.52/0.79 (step @p770 :rule trans :premises (@p769 @p743)) % 0.52/0.79 (step @p771 :rule ho_cong :premises (@p47 @p770)) % 0.52/0.79 (step @p772 :rule trans :premises (@p771 @p713)) % 0.52/0.79 (step @p773 :rule refl :args (tptp.p6)) % 0.52/0.79 (step @p774 :rule ho_cong :premises (@p22 @p773)) % 0.52/0.79 (step @p775 :rule ho_cong :premises (@p283 @p774)) % 0.52/0.79 (step @p776 :rule ho_cong :premises (@p775 @p676)) % 0.52/0.79 (step @p777 :rule ho_cong :premises (@p775 @p776)) % 0.52/0.79 (step @p778 :rule ho_cong :premises (@p59 @p777)) % 0.52/0.79 (step @p779 :rule trans :premises (@p778 @p772)) % 0.52/0.79 (step @p780 :rule eq_resolve :premises (@p10 @p779)) % 0.52/0.79 (step @p781 :rule instantiate :premises (@p780) :args ((@list @t87 @t87 @t528))) % 0.52/0.79 (step @p782 :rule cnf_or_pos :args (@t597)) % 0.52/0.79 (step @p783 :rule reordering :premises (@p782) :args ((or @t241 @t596 @t595 @t531 @t530 (not @t597)))) % 0.52/0.79 (step @p784 :rule chain_m_resolution :premises (@p783 @p781 @p696 @p694 @p72 @p80) :args (@t596 @t317 (@list @t597 @t530 @t529 @t240 @t594))) % 0.52/0.79 (step @p785 :rule skolemize :premises (@p784)) % 0.52/0.79 (step @p786 :rule bool-double-not-elim :args (@t599)) % 0.52/0.79 (step @p787 :rule refl :args (@t602)) % 0.52/0.79 (step @p788 :rule nary_cong :premises (@p787 @p786) :args ((or @t602 (not @t601)))) % 0.52/0.79 (step @p789 :rule cnf_or_neg :args (@t602 0)) % 0.52/0.79 (step @p790 :rule eq_resolve :premises (@p789 @p788)) % 0.52/0.79 (step @p791 :rule reordering :premises (@p790) :args ((or @t599 @t602))) % 0.52/0.79 (step @p792 :rule chain_m_resolution :premises (@p791 @p785) :args (@t599 @t251 @t603)) % 0.52/0.79 (step @p793 :rule cnf_or_neg :args (@t602 1)) % 0.52/0.79 (step @p794 :rule chain_m_resolution :premises (@p793 @p785) :args ((not @t600) @t251 @t603)) % 0.52/0.79 (step @p795 :rule aci_norm :args ((= @t614 (or @t612 @t611 @t610 @t607 @t605)))) % 0.52/0.79 (step @p796 :rule cong :premises (@p795) :args (@t615)) % 0.52/0.79 (step @p797 :rule quant-merge-prenex :args ((= (forall @t56 @t617) @t615))) % 0.52/0.79 (step @p798 :rule alpha_equiv :args (@t618 (@list @t606 @t604) (@list @t7 @t619))) % 0.52/0.79 (step @p799 :rule refl :args (@t612)) % 0.52/0.79 (step @p800 :rule nary_cong :premises (@p799 @p798) :args (@t620)) % 0.52/0.79 (step @p801 :rule quant-miniscope-or :args ((= @t617 @t620))) % 0.52/0.79 (step @p802 :rule trans :premises (@p801 @p800)) % 0.52/0.79 (step @p803 :rule symm :premises (@p802)) % 0.52/0.79 (step @p804 :rule cong :premises (@p803) :args ((forall @t56 @t625))) % 0.52/0.79 (step @p805 :rule trans :premises (@p804 @p797)) % 0.52/0.79 (step @p806 :rule trans :premises (@p805 @p796)) % 0.52/0.79 (step @p807 :rule beta-reduce :args ((= @t630 @t625))) % 0.52/0.79 (step @p808 :rule cong :premises (@p807) :args (@t631)) % 0.52/0.79 (step @p809 :rule trans :premises (@p808 @p806)) % 0.52/0.79 (step @p810 :rule beta-reduce :args ((= (_ @t84 @t629) @t631))) % 0.52/0.79 (step @p811 :rule trans :premises (@p810 @p809)) % 0.52/0.79 (step @p812 :rule aci_norm :args ((= @t633 @t626))) % 0.52/0.79 (step @p813 :rule cong :premises (@p812) :args (@t634)) % 0.52/0.79 (step @p814 :rule quant-merge-prenex :args ((= (forall @t47 @t636) @t634))) % 0.52/0.79 (step @p815 :rule alpha_equiv :args (@t637 (@list @t619) @t639)) % 0.52/0.79 (step @p816 :rule refl :args (@t623)) % 0.52/0.79 (step @p817 :rule nary_cong :premises (@p135 @p816 @p815) :args (@t640)) % 0.52/0.79 (step @p818 :rule quant-miniscope-or :args ((= @t636 @t640))) % 0.52/0.79 (step @p819 :rule trans :premises (@p818 @p817)) % 0.52/0.79 (step @p820 :rule symm :premises (@p819)) % 0.52/0.79 (step @p821 :rule cong :premises (@p820) :args ((forall @t47 @t644))) % 0.52/0.79 (step @p822 :rule trans :premises (@p821 @p814)) % 0.52/0.79 (step @p823 :rule trans :premises (@p822 @p813)) % 0.52/0.79 (step @p824 :rule aci_norm :args ((= (or @t158 @t645) @t644))) % 0.52/0.79 (step @p825 :rule beta-reduce :args ((= (_ (lambda @t79 (or (not (forall @t609 (or (not (tptp.irel @t40 @t104)) @t608))) (forall @t642 (or (not (tptp.irel @t40 @t638)) @t641)))) @t7) @t645))) % 0.52/0.79 (step @p826 :rule alpha_equiv :args (@t557 @t90 @t639)) % 0.52/0.79 (step @p827 :rule alpha_equiv :args (@t627 @t90 @t105)) % 0.52/0.79 (step @p828 :rule cong :premises (@p827) :args (@t628)) % 0.52/0.79 (step @p829 :rule nary_cong :premises (@p828 @p826) :args (@t646)) % 0.52/0.79 (step @p830 :rule cong :premises (@p829) :args (@t647)) % 0.52/0.79 (step @p831 :rule ho_cong :premises (@p830 @p145)) % 0.52/0.79 (step @p832 :rule trans :premises (@p831 @p825)) % 0.52/0.79 (step @p833 :rule nary_cong :premises (@p153 @p832) :args (@t648)) % 0.52/0.79 (step @p834 :rule trans :premises (@p833 @p824)) % 0.52/0.79 (step @p835 :rule cong :premises (@p834) :args (@t649)) % 0.52/0.79 (step @p836 :rule trans :premises (@p835 @p823)) % 0.52/0.79 (step @p837 :rule refl :args (@t628)) % 0.52/0.79 (step @p838 :rule nary_cong :premises (@p837 @p836) :args (@t650)) % 0.52/0.79 (step @p839 :rule cong :premises (@p838) :args (@t651)) % 0.52/0.79 (step @p840 :rule beta-reduce :args ((= (_ @t652 @t647) @t651))) % 0.52/0.79 (step @p841 :rule trans :premises (@p840 @p839)) % 0.52/0.79 (step @p842 :rule nary_cong :premises (@p837 @p758) :args (@t653)) % 0.52/0.79 (step @p843 :rule cong :premises (@p842) :args (@t654)) % 0.52/0.79 (step @p844 :rule beta-reduce :args ((= (_ @t652 @t587) @t654))) % 0.52/0.79 (step @p845 :rule trans :premises (@p844 @p843)) % 0.52/0.79 (step @p846 :rule refl :args (@t102)) % 0.52/0.79 (step @p847 :rule refl :args (@t655)) % 0.52/0.79 (step @p848 :rule cong :premises (@p847 @p846) :args ((= @t655 @t102))) % 0.52/0.79 (step @p849 :rule symm :premises (@p848)) % 0.52/0.79 (step @p850 :rule eq_resolve :premises (@p847 @p849)) % 0.52/0.79 (step @p851 :rule nary_cong :premises (@p135 @p850) :args (@t656)) % 0.52/0.79 (step @p852 :rule cong :premises (@p851) :args ((forall @t47 @t656))) % 0.52/0.79 (step @p853 :rule beta-reduce :args ((= @t658 @t655))) % 0.52/0.79 (step @p854 :rule nary_cong :premises (@p153 @p853) :args (@t659)) % 0.52/0.79 (step @p855 :rule cong :premises (@p854) :args (@t660)) % 0.52/0.79 (step @p856 :rule trans :premises (@p855 @p852)) % 0.52/0.79 (step @p857 :rule cong :premises (@p856) :args (@t661)) % 0.52/0.79 (step @p858 :rule nary_cong :premises (@p857 @p178) :args (@t662)) % 0.52/0.79 (step @p859 :rule cong :premises (@p858) :args (@t663)) % 0.52/0.79 (step @p860 :rule beta-reduce :args ((= (_ @t211 @t657) @t663))) % 0.52/0.79 (step @p861 :rule trans :premises (@p860 @p859)) % 0.52/0.79 (step @p862 :rule beta-reduce :args ((= (_ @t52 tptp.p7) @t657))) % 0.52/0.79 (step @p863 :rule ho_cong :premises (@p196 @p862)) % 0.52/0.79 (step @p864 :rule trans :premises (@p863 @p861)) % 0.52/0.79 (step @p865 :rule ho_cong :premises (@p864 @p764)) % 0.52/0.79 (step @p866 :rule trans :premises (@p865 @p845)) % 0.52/0.79 (step @p867 :rule ho_cong :premises (@p864 @p866)) % 0.52/0.79 (step @p868 :rule trans :premises (@p867 @p841)) % 0.52/0.79 (step @p869 :rule ho_cong :premises (@p47 @p868)) % 0.52/0.79 (step @p870 :rule trans :premises (@p869 @p811)) % 0.52/0.79 (step @p871 :rule refl :args (tptp.p7)) % 0.52/0.79 (step @p872 :rule ho_cong :premises (@p22 @p871)) % 0.52/0.79 (step @p873 :rule ho_cong :premises (@p283 @p872)) % 0.52/0.79 (step @p874 :rule ho_cong :premises (@p873 @p774)) % 0.52/0.79 (step @p875 :rule ho_cong :premises (@p873 @p874)) % 0.52/0.79 (step @p876 :rule ho_cong :premises (@p59 @p875)) % 0.52/0.79 (step @p877 :rule trans :premises (@p876 @p870)) % 0.52/0.79 (step @p878 :rule eq_resolve :premises (@p11 @p877)) % 0.52/0.79 (step @p879 :rule instantiate :premises (@p878) :args ((@list @t87 @t87 @t598))) % 0.52/0.79 (step @p880 :rule cnf_or_pos :args (@t667)) % 0.52/0.79 (step @p881 :rule reordering :premises (@p880) :args ((or @t241 @t666 @t665 @t601 @t600 (not @t667)))) % 0.52/0.79 (step @p882 :rule chain_m_resolution :premises (@p881 @p879 @p794 @p792 @p72 @p78) :args (@t666 @t317 (@list @t667 @t600 @t599 @t240 @t664))) % 0.52/0.79 (step @p883 :rule skolemize :premises (@p882)) % 0.52/0.79 (step @p884 :rule bool-double-not-elim :args (@t669)) % 0.52/0.79 (step @p885 :rule refl :args (@t672)) % 0.52/0.79 (step @p886 :rule nary_cong :premises (@p885 @p884) :args ((or @t672 (not @t671)))) % 0.52/0.79 (step @p887 :rule cnf_or_neg :args (@t672 0)) % 0.52/0.79 (step @p888 :rule eq_resolve :premises (@p887 @p886)) % 0.52/0.79 (step @p889 :rule reordering :premises (@p888) :args ((or @t669 @t672))) % 0.52/0.79 (step @p890 :rule chain_m_resolution :premises (@p889 @p883) :args (@t669 @t251 @t673)) % 0.52/0.79 (step @p891 :rule cnf_or_neg :args (@t672 1)) % 0.52/0.79 (step @p892 :rule chain_m_resolution :premises (@p891 @p883) :args ((not @t670) @t251 @t673)) % 0.52/0.79 (step @p893 :rule aci_norm :args ((= @t684 (or @t682 @t681 @t680 @t677 @t675)))) % 0.52/0.79 (step @p894 :rule cong :premises (@p893) :args (@t685)) % 0.52/0.79 (step @p895 :rule quant-merge-prenex :args ((= (forall @t56 @t687) @t685))) % 0.52/0.79 (step @p896 :rule alpha_equiv :args (@t688 (@list @t676 @t674) (@list @t7 @t689))) % 0.52/0.79 (step @p897 :rule refl :args (@t682)) % 0.52/0.79 (step @p898 :rule nary_cong :premises (@p897 @p896) :args (@t690)) % 0.52/0.79 (step @p899 :rule quant-miniscope-or :args ((= @t687 @t690))) % 0.52/0.79 (step @p900 :rule trans :premises (@p899 @p898)) % 0.52/0.79 (step @p901 :rule symm :premises (@p900)) % 0.52/0.79 (step @p902 :rule cong :premises (@p901) :args ((forall @t56 @t695))) % 0.52/0.79 (step @p903 :rule trans :premises (@p902 @p895)) % 0.52/0.79 (step @p904 :rule trans :premises (@p903 @p894)) % 0.52/0.79 (step @p905 :rule beta-reduce :args ((= @t700 @t695))) % 0.52/0.79 (step @p906 :rule cong :premises (@p905) :args (@t701)) % 0.52/0.79 (step @p907 :rule trans :premises (@p906 @p904)) % 0.52/0.79 (step @p908 :rule beta-reduce :args ((= (_ @t84 @t699) @t701))) % 0.52/0.79 (step @p909 :rule trans :premises (@p908 @p907)) % 0.52/0.79 (step @p910 :rule aci_norm :args ((= @t703 @t696))) % 0.52/0.79 (step @p911 :rule cong :premises (@p910) :args (@t704)) % 0.52/0.79 (step @p912 :rule quant-merge-prenex :args ((= (forall @t47 @t706) @t704))) % 0.52/0.79 (step @p913 :rule alpha_equiv :args (@t707 (@list @t689) @t709)) % 0.52/0.79 (step @p914 :rule refl :args (@t693)) % 0.52/0.79 (step @p915 :rule nary_cong :premises (@p135 @p914 @p913) :args (@t710)) % 0.52/0.79 (step @p916 :rule quant-miniscope-or :args ((= @t706 @t710))) % 0.52/0.79 (step @p917 :rule trans :premises (@p916 @p915)) % 0.52/0.79 (step @p918 :rule symm :premises (@p917)) % 0.52/0.79 (step @p919 :rule cong :premises (@p918) :args ((forall @t47 @t714))) % 0.52/0.79 (step @p920 :rule trans :premises (@p919 @p912)) % 0.52/0.79 (step @p921 :rule trans :premises (@p920 @p911)) % 0.52/0.79 (step @p922 :rule aci_norm :args ((= (or @t158 @t715) @t714))) % 0.52/0.79 (step @p923 :rule beta-reduce :args ((= (_ (lambda @t79 (or (not (forall @t679 (or (not (tptp.irel @t40 @t100)) @t678))) (forall @t712 (or (not (tptp.irel @t40 @t708)) @t711)))) @t7) @t715))) % 0.52/0.79 (step @p924 :rule alpha_equiv :args (@t627 @t90 @t709)) % 0.52/0.79 (step @p925 :rule alpha_equiv :args (@t697 @t90 @t101)) % 0.52/0.79 (step @p926 :rule cong :premises (@p925) :args (@t698)) % 0.52/0.79 (step @p927 :rule nary_cong :premises (@p926 @p924) :args (@t716)) % 0.52/0.79 (step @p928 :rule cong :premises (@p927) :args (@t717)) % 0.52/0.79 (step @p929 :rule ho_cong :premises (@p928 @p145)) % 0.52/0.79 (step @p930 :rule trans :premises (@p929 @p923)) % 0.52/0.79 (step @p931 :rule nary_cong :premises (@p153 @p930) :args (@t718)) % 0.52/0.79 (step @p932 :rule trans :premises (@p931 @p922)) % 0.52/0.79 (step @p933 :rule cong :premises (@p932) :args (@t719)) % 0.52/0.79 (step @p934 :rule trans :premises (@p933 @p921)) % 0.52/0.79 (step @p935 :rule refl :args (@t698)) % 0.52/0.79 (step @p936 :rule nary_cong :premises (@p935 @p934) :args (@t720)) % 0.52/0.79 (step @p937 :rule cong :premises (@p936) :args (@t721)) % 0.52/0.79 (step @p938 :rule beta-reduce :args ((= (_ @t722 @t717) @t721))) % 0.52/0.79 (step @p939 :rule trans :premises (@p938 @p937)) % 0.52/0.79 (step @p940 :rule nary_cong :premises (@p935 @p856) :args (@t723)) % 0.52/0.79 (step @p941 :rule cong :premises (@p940) :args (@t724)) % 0.52/0.79 (step @p942 :rule beta-reduce :args ((= (_ @t722 @t657) @t724))) % 0.52/0.79 (step @p943 :rule trans :premises (@p942 @p941)) % 0.52/0.79 (step @p944 :rule refl :args (@t98)) % 0.52/0.79 (step @p945 :rule refl :args (@t725)) % 0.52/0.79 (step @p946 :rule cong :premises (@p945 @p944) :args ((= @t725 @t98))) % 0.52/0.79 (step @p947 :rule symm :premises (@p946)) % 0.52/0.79 (step @p948 :rule eq_resolve :premises (@p945 @p947)) % 0.52/0.79 (step @p949 :rule nary_cong :premises (@p135 @p948) :args (@t726)) % 0.52/0.79 (step @p950 :rule cong :premises (@p949) :args ((forall @t47 @t726))) % 0.52/0.79 (step @p951 :rule beta-reduce :args ((= @t728 @t725))) % 0.52/0.79 (step @p952 :rule nary_cong :premises (@p153 @p951) :args (@t729)) % 0.52/0.79 (step @p953 :rule cong :premises (@p952) :args (@t730)) % 0.52/0.79 (step @p954 :rule trans :premises (@p953 @p950)) % 0.52/0.79 (step @p955 :rule cong :premises (@p954) :args (@t731)) % 0.52/0.79 (step @p956 :rule nary_cong :premises (@p955 @p178) :args (@t732)) % 0.52/0.79 (step @p957 :rule cong :premises (@p956) :args (@t733)) % 0.52/0.79 (step @p958 :rule beta-reduce :args ((= (_ @t211 @t727) @t733))) % 0.52/0.79 (step @p959 :rule trans :premises (@p958 @p957)) % 0.52/0.79 (step @p960 :rule beta-reduce :args ((= (_ @t52 tptp.p8) @t727))) % 0.52/0.79 (step @p961 :rule ho_cong :premises (@p196 @p960)) % 0.52/0.79 (step @p962 :rule trans :premises (@p961 @p959)) % 0.52/0.79 (step @p963 :rule ho_cong :premises (@p962 @p862)) % 0.52/0.79 (step @p964 :rule trans :premises (@p963 @p943)) % 0.52/0.79 (step @p965 :rule ho_cong :premises (@p962 @p964)) % 0.52/0.79 (step @p966 :rule trans :premises (@p965 @p939)) % 0.52/0.79 (step @p967 :rule ho_cong :premises (@p47 @p966)) % 0.52/0.79 (step @p968 :rule trans :premises (@p967 @p909)) % 0.52/0.79 (step @p969 :rule refl :args (tptp.p8)) % 0.52/0.79 (step @p970 :rule ho_cong :premises (@p22 @p969)) % 0.52/0.79 (step @p971 :rule ho_cong :premises (@p283 @p970)) % 0.52/0.79 (step @p972 :rule ho_cong :premises (@p971 @p872)) % 0.52/0.79 (step @p973 :rule ho_cong :premises (@p971 @p972)) % 0.52/0.79 (step @p974 :rule ho_cong :premises (@p59 @p973)) % 0.52/0.79 (step @p975 :rule trans :premises (@p974 @p968)) % 0.52/0.79 (step @p976 :rule eq_resolve :premises (@p12 @p975)) % 0.52/0.79 (step @p977 :rule instantiate :premises (@p976) :args ((@list @t87 @t87 @t668))) % 0.52/0.79 (step @p978 :rule cnf_or_pos :args (@t737)) % 0.52/0.79 (step @p979 :rule reordering :premises (@p978) :args ((or @t241 @t736 @t735 @t671 @t670 (not @t737)))) % 0.52/0.79 (step @p980 :rule chain_m_resolution :premises (@p979 @p977 @p892 @p890 @p72 @p76) :args (@t736 @t317 (@list @t737 @t670 @t669 @t240 @t734))) % 0.52/0.79 (step @p981 :rule skolemize :premises (@p980)) % 0.52/0.79 (step @p982 :rule bool-double-not-elim :args (@t739)) % 0.52/0.79 (step @p983 :rule refl :args (@t742)) % 0.52/0.79 (step @p984 :rule nary_cong :premises (@p983 @p982) :args ((or @t742 (not @t741)))) % 0.52/0.79 (step @p985 :rule cnf_or_neg :args (@t742 0)) % 0.52/0.79 (step @p986 :rule eq_resolve :premises (@p985 @p984)) % 0.52/0.79 (step @p987 :rule reordering :premises (@p986) :args ((or @t739 @t742))) % 0.52/0.79 (step @p988 :rule chain_m_resolution :premises (@p987 @p981) :args (@t739 @t251 @t743)) % 0.52/0.79 (step @p989 :rule cnf_or_neg :args (@t742 1)) % 0.52/0.79 (step @p990 :rule chain_m_resolution :premises (@p989 @p981) :args ((not @t740) @t251 @t743)) % 0.52/0.79 (step @p991 :rule aci_norm :args ((= @t754 (or @t752 @t751 @t750 @t747 @t745)))) % 0.52/0.79 (step @p992 :rule cong :premises (@p991) :args (@t755)) % 0.52/0.79 (step @p993 :rule quant-merge-prenex :args ((= (forall @t56 @t757) @t755))) % 0.52/0.79 (step @p994 :rule alpha_equiv :args (@t758 (@list @t746 @t744) (@list @t7 @t759))) % 0.52/0.79 (step @p995 :rule refl :args (@t752)) % 0.52/0.79 (step @p996 :rule nary_cong :premises (@p995 @p994) :args (@t760)) % 0.52/0.79 (step @p997 :rule quant-miniscope-or :args ((= @t757 @t760))) % 0.52/0.79 (step @p998 :rule trans :premises (@p997 @p996)) % 0.52/0.79 (step @p999 :rule symm :premises (@p998)) % 0.52/0.79 (step @p1000 :rule cong :premises (@p999) :args ((forall @t56 @t765))) % 0.52/0.79 (step @p1001 :rule trans :premises (@p1000 @p993)) % 0.52/0.79 (step @p1002 :rule trans :premises (@p1001 @p992)) % 0.52/0.79 (step @p1003 :rule beta-reduce :args ((= @t770 @t765))) % 0.52/0.79 (step @p1004 :rule cong :premises (@p1003) :args (@t771)) % 0.52/0.79 (step @p1005 :rule trans :premises (@p1004 @p1002)) % 0.52/0.79 (step @p1006 :rule beta-reduce :args ((= (_ @t84 @t769) @t771))) % 0.52/0.79 (step @p1007 :rule trans :premises (@p1006 @p1005)) % 0.52/0.79 (step @p1008 :rule aci_norm :args ((= @t773 @t766))) % 0.52/0.79 (step @p1009 :rule cong :premises (@p1008) :args (@t774)) % 0.52/0.79 (step @p1010 :rule quant-merge-prenex :args ((= (forall @t47 @t776) @t774))) % 0.52/0.79 (step @p1011 :rule alpha_equiv :args (@t777 (@list @t759) @t779)) % 0.52/0.79 (step @p1012 :rule refl :args (@t763)) % 0.52/0.79 (step @p1013 :rule nary_cong :premises (@p135 @p1012 @p1011) :args (@t780)) % 0.52/0.79 (step @p1014 :rule quant-miniscope-or :args ((= @t776 @t780))) % 0.52/0.79 (step @p1015 :rule trans :premises (@p1014 @p1013)) % 0.52/0.79 (step @p1016 :rule symm :premises (@p1015)) % 0.52/0.79 (step @p1017 :rule cong :premises (@p1016) :args ((forall @t47 @t784))) % 0.52/0.79 (step @p1018 :rule trans :premises (@p1017 @p1010)) % 0.52/0.79 (step @p1019 :rule trans :premises (@p1018 @p1009)) % 0.52/0.79 (step @p1020 :rule aci_norm :args ((= (or @t158 @t785) @t784))) % 0.52/0.79 (step @p1021 :rule beta-reduce :args ((= (_ (lambda @t79 (or (not (forall @t749 (or (not (tptp.irel @t40 @t96)) @t748))) (forall @t782 (or (not (tptp.irel @t40 @t778)) @t781)))) @t7) @t785))) % 0.52/0.79 (step @p1022 :rule alpha_equiv :args (@t697 @t90 @t779)) % 0.52/0.79 (step @p1023 :rule alpha_equiv :args (@t767 @t90 @t97)) % 0.52/0.79 (step @p1024 :rule cong :premises (@p1023) :args (@t768)) % 0.52/0.79 (step @p1025 :rule nary_cong :premises (@p1024 @p1022) :args (@t786)) % 0.52/0.79 (step @p1026 :rule cong :premises (@p1025) :args (@t787)) % 0.52/0.79 (step @p1027 :rule ho_cong :premises (@p1026 @p145)) % 0.52/0.79 (step @p1028 :rule trans :premises (@p1027 @p1021)) % 0.52/0.79 (step @p1029 :rule nary_cong :premises (@p153 @p1028) :args (@t788)) % 0.52/0.79 (step @p1030 :rule trans :premises (@p1029 @p1020)) % 0.52/0.79 (step @p1031 :rule cong :premises (@p1030) :args (@t789)) % 0.52/0.79 (step @p1032 :rule trans :premises (@p1031 @p1019)) % 0.52/0.79 (step @p1033 :rule refl :args (@t768)) % 0.52/0.79 (step @p1034 :rule nary_cong :premises (@p1033 @p1032) :args (@t790)) % 0.52/0.79 (step @p1035 :rule cong :premises (@p1034) :args (@t791)) % 0.52/0.79 (step @p1036 :rule beta-reduce :args ((= (_ @t792 @t787) @t791))) % 0.52/0.79 (step @p1037 :rule trans :premises (@p1036 @p1035)) % 0.52/0.79 (step @p1038 :rule nary_cong :premises (@p1033 @p954) :args (@t793)) % 0.52/0.79 (step @p1039 :rule cong :premises (@p1038) :args (@t794)) % 0.52/0.79 (step @p1040 :rule beta-reduce :args ((= (_ @t792 @t727) @t794))) % 0.52/0.79 (step @p1041 :rule trans :premises (@p1040 @p1039)) % 0.52/0.79 (step @p1042 :rule refl :args (@t94)) % 0.52/0.79 (step @p1043 :rule refl :args (@t795)) % 0.52/0.79 (step @p1044 :rule cong :premises (@p1043 @p1042) :args ((= @t795 @t94))) % 0.52/0.79 (step @p1045 :rule symm :premises (@p1044)) % 0.52/0.79 (step @p1046 :rule eq_resolve :premises (@p1043 @p1045)) % 0.52/0.79 (step @p1047 :rule nary_cong :premises (@p135 @p1046) :args (@t796)) % 0.52/0.79 (step @p1048 :rule cong :premises (@p1047) :args ((forall @t47 @t796))) % 0.52/0.79 (step @p1049 :rule beta-reduce :args ((= @t798 @t795))) % 0.52/0.79 (step @p1050 :rule nary_cong :premises (@p153 @p1049) :args (@t799)) % 0.52/0.79 (step @p1051 :rule cong :premises (@p1050) :args (@t800)) % 0.52/0.79 (step @p1052 :rule trans :premises (@p1051 @p1048)) % 0.52/0.79 (step @p1053 :rule cong :premises (@p1052) :args (@t801)) % 0.52/0.79 (step @p1054 :rule nary_cong :premises (@p1053 @p178) :args (@t802)) % 0.52/0.79 (step @p1055 :rule cong :premises (@p1054) :args (@t803)) % 0.52/0.79 (step @p1056 :rule beta-reduce :args ((= (_ @t211 @t797) @t803))) % 0.52/0.79 (step @p1057 :rule trans :premises (@p1056 @p1055)) % 0.52/0.79 (step @p1058 :rule beta-reduce :args ((= (_ @t52 tptp.p9) @t797))) % 0.52/0.79 (step @p1059 :rule ho_cong :premises (@p196 @p1058)) % 0.52/0.79 (step @p1060 :rule trans :premises (@p1059 @p1057)) % 0.52/0.79 (step @p1061 :rule ho_cong :premises (@p1060 @p960)) % 0.52/0.79 (step @p1062 :rule trans :premises (@p1061 @p1041)) % 0.52/0.79 (step @p1063 :rule ho_cong :premises (@p1060 @p1062)) % 0.52/0.79 (step @p1064 :rule trans :premises (@p1063 @p1037)) % 0.52/0.79 (step @p1065 :rule ho_cong :premises (@p47 @p1064)) % 0.52/0.79 (step @p1066 :rule trans :premises (@p1065 @p1007)) % 0.52/0.79 (step @p1067 :rule refl :args (tptp.p9)) % 0.52/0.79 (step @p1068 :rule ho_cong :premises (@p22 @p1067)) % 0.52/0.79 (step @p1069 :rule ho_cong :premises (@p283 @p1068)) % 0.52/0.79 (step @p1070 :rule ho_cong :premises (@p1069 @p970)) % 0.52/0.79 (step @p1071 :rule ho_cong :premises (@p1069 @p1070)) % 0.52/0.79 (step @p1072 :rule ho_cong :premises (@p59 @p1071)) % 0.52/0.79 (step @p1073 :rule trans :premises (@p1072 @p1066)) % 0.52/0.79 (step @p1074 :rule eq_resolve :premises (@p13 @p1073)) % 0.52/0.79 (step @p1075 :rule instantiate :premises (@p1074) :args ((@list @t87 @t87 @t738))) % 0.52/0.79 (step @p1076 :rule cnf_or_pos :args (@t807)) % 0.52/0.79 (step @p1077 :rule reordering :premises (@p1076) :args ((or @t241 @t806 @t805 @t741 @t740 (not @t807)))) % 0.52/0.79 (step @p1078 :rule chain_m_resolution :premises (@p1077 @p1075 @p990 @p988 @p72 @p74) :args (@t806 @t317 (@list @t807 @t740 @t739 @t240 @t804))) % 0.52/0.79 (step @p1079 :rule skolemize :premises (@p1078)) % 0.52/0.79 (step @p1080 :rule bool-double-not-elim :args (@t809)) % 0.52/0.79 (step @p1081 :rule refl :args (@t812)) % 0.52/0.79 (step @p1082 :rule nary_cong :premises (@p1081 @p1080) :args ((or @t812 (not @t811)))) % 0.52/0.79 (step @p1083 :rule cnf_or_neg :args (@t812 0)) % 0.52/0.79 (step @p1084 :rule eq_resolve :premises (@p1083 @p1082)) % 0.52/0.79 (step @p1085 :rule reordering :premises (@p1084) :args ((or @t809 @t812))) % 0.52/0.79 (step @p1086 :rule chain_m_resolution :premises (@p1085 @p1079) :args (@t809 @t251 @t813)) % 0.52/0.79 (step @p1087 :rule cnf_or_neg :args (@t812 1)) % 0.52/0.79 (step @p1088 :rule chain_m_resolution :premises (@p1087 @p1079) :args ((not @t810) @t251 @t813)) % 0.52/0.79 (step @p1089 :rule aci_norm :args ((= @t824 (or @t822 @t821 @t820 @t817 @t815)))) % 0.52/0.79 (step @p1090 :rule cong :premises (@p1089) :args (@t825)) % 0.52/0.79 (step @p1091 :rule quant-merge-prenex :args ((= (forall @t56 @t827) @t825))) % 0.52/0.79 (step @p1092 :rule alpha_equiv :args (@t828 (@list @t816 @t814) (@list @t7 @t829))) % 0.52/0.79 (step @p1093 :rule refl :args (@t822)) % 0.52/0.79 (step @p1094 :rule nary_cong :premises (@p1093 @p1092) :args (@t830)) % 0.52/0.79 (step @p1095 :rule quant-miniscope-or :args ((= @t827 @t830))) % 0.52/0.79 (step @p1096 :rule trans :premises (@p1095 @p1094)) % 0.52/0.79 (step @p1097 :rule symm :premises (@p1096)) % 0.52/0.79 (step @p1098 :rule cong :premises (@p1097) :args ((forall @t56 @t835))) % 0.52/0.79 (step @p1099 :rule trans :premises (@p1098 @p1091)) % 0.52/0.79 (step @p1100 :rule trans :premises (@p1099 @p1090)) % 0.52/0.79 (step @p1101 :rule beta-reduce :args ((= @t840 @t835))) % 0.52/0.79 (step @p1102 :rule cong :premises (@p1101) :args (@t841)) % 0.52/0.79 (step @p1103 :rule trans :premises (@p1102 @p1100)) % 0.52/0.79 (step @p1104 :rule beta-reduce :args ((= (_ @t84 @t839) @t841))) % 0.52/0.79 (step @p1105 :rule trans :premises (@p1104 @p1103)) % 0.52/0.79 (step @p1106 :rule aci_norm :args ((= @t843 @t836))) % 0.52/0.79 (step @p1107 :rule cong :premises (@p1106) :args (@t844)) % 0.52/0.79 (step @p1108 :rule quant-merge-prenex :args ((= (forall @t47 @t846) @t844))) % 0.52/0.79 (step @p1109 :rule alpha_equiv :args (@t847 (@list @t829) @t849)) % 0.52/0.79 (step @p1110 :rule refl :args (@t833)) % 0.52/0.79 (step @p1111 :rule nary_cong :premises (@p135 @p1110 @p1109) :args (@t850)) % 0.52/0.79 (step @p1112 :rule quant-miniscope-or :args ((= @t846 @t850))) % 0.52/0.79 (step @p1113 :rule trans :premises (@p1112 @p1111)) % 0.52/0.79 (step @p1114 :rule symm :premises (@p1113)) % 0.52/0.79 (step @p1115 :rule cong :premises (@p1114) :args ((forall @t47 @t854))) % 0.52/0.79 (step @p1116 :rule trans :premises (@p1115 @p1108)) % 0.52/0.79 (step @p1117 :rule trans :premises (@p1116 @p1107)) % 0.52/0.79 (step @p1118 :rule aci_norm :args ((= (or @t158 @t855) @t854))) % 0.52/0.79 (step @p1119 :rule beta-reduce :args ((= (_ (lambda @t79 (or (not (forall @t819 (or (not (tptp.irel @t40 @t91)) @t818))) (forall @t852 (or (not (tptp.irel @t40 @t848)) @t851)))) @t7) @t855))) % 0.52/0.79 (step @p1120 :rule alpha_equiv :args (@t767 @t90 @t849)) % 0.52/0.79 (step @p1121 :rule alpha_equiv :args (@t837 @t90 @t92)) % 0.52/0.79 (step @p1122 :rule cong :premises (@p1121) :args (@t838)) % 0.52/0.79 (step @p1123 :rule nary_cong :premises (@p1122 @p1120) :args (@t856)) % 0.52/0.79 (step @p1124 :rule cong :premises (@p1123) :args (@t857)) % 0.52/0.79 (step @p1125 :rule ho_cong :premises (@p1124 @p145)) % 0.52/0.79 (step @p1126 :rule trans :premises (@p1125 @p1119)) % 0.52/0.79 (step @p1127 :rule nary_cong :premises (@p153 @p1126) :args (@t858)) % 0.52/0.79 (step @p1128 :rule trans :premises (@p1127 @p1118)) % 0.52/0.79 (step @p1129 :rule cong :premises (@p1128) :args (@t859)) % 0.52/0.79 (step @p1130 :rule trans :premises (@p1129 @p1117)) % 0.52/0.79 (step @p1131 :rule refl :args (@t838)) % 0.52/0.79 (step @p1132 :rule nary_cong :premises (@p1131 @p1130) :args (@t860)) % 0.52/0.79 (step @p1133 :rule cong :premises (@p1132) :args (@t861)) % 0.52/0.79 (step @p1134 :rule beta-reduce :args ((= (_ @t862 @t857) @t861))) % 0.52/0.79 (step @p1135 :rule trans :premises (@p1134 @p1133)) % 0.52/0.79 (step @p1136 :rule nary_cong :premises (@p1131 @p1052) :args (@t863)) % 0.52/0.79 (step @p1137 :rule cong :premises (@p1136) :args (@t864)) % 0.52/0.79 (step @p1138 :rule beta-reduce :args ((= (_ @t862 @t797) @t864))) % 0.52/0.79 (step @p1139 :rule trans :premises (@p1138 @p1137)) % 0.52/0.79 (step @p1140 :rule refl :args (@t85)) % 0.52/0.79 (step @p1141 :rule refl :args (@t865)) % 0.52/0.79 (step @p1142 :rule cong :premises (@p1141 @p1140) :args ((= @t865 @t85))) % 0.52/0.79 (step @p1143 :rule symm :premises (@p1142)) % 0.52/0.79 (step @p1144 :rule eq_resolve :premises (@p1141 @p1143)) % 0.52/0.79 (step @p1145 :rule nary_cong :premises (@p135 @p1144) :args (@t866)) % 0.52/0.79 (step @p1146 :rule cong :premises (@p1145) :args ((forall @t47 @t866))) % 0.52/0.79 (step @p1147 :rule beta-reduce :args ((= @t867 @t865))) % 0.52/0.79 (step @p1148 :rule nary_cong :premises (@p153 @p1147) :args (@t868)) % 0.52/0.79 (step @p1149 :rule cong :premises (@p1148) :args (@t869)) % 0.52/0.79 (step @p1150 :rule trans :premises (@p1149 @p1146)) % 0.52/0.79 (step @p1151 :rule cong :premises (@p1150) :args (@t870)) % 0.52/0.79 (step @p1152 :rule nary_cong :premises (@p1151 @p178) :args (@t871)) % 0.52/0.79 (step @p1153 :rule cong :premises (@p1152) :args (@t872)) % 0.52/0.79 (step @p1154 :rule beta-reduce :args ((= (_ @t211 @t80) @t872))) % 0.52/0.79 (step @p1155 :rule trans :premises (@p1154 @p1153)) % 0.52/0.79 (step @p1156 :rule ho_cong :premises (@p196 @p46)) % 0.52/0.79 (step @p1157 :rule trans :premises (@p1156 @p1155)) % 0.52/0.79 (step @p1158 :rule ho_cong :premises (@p1157 @p1058)) % 0.52/0.79 (step @p1159 :rule trans :premises (@p1158 @p1139)) % 0.52/0.79 (step @p1160 :rule ho_cong :premises (@p1157 @p1159)) % 0.52/0.79 (step @p1161 :rule trans :premises (@p1160 @p1135)) % 0.52/0.79 (step @p1162 :rule ho_cong :premises (@p47 @p1161)) % 0.52/0.79 (step @p1163 :rule trans :premises (@p1162 @p1105)) % 0.52/0.79 (step @p1164 :rule ho_cong :premises (@p283 @p51)) % 0.52/0.79 (step @p1165 :rule ho_cong :premises (@p1164 @p1068)) % 0.52/0.79 (step @p1166 :rule ho_cong :premises (@p1164 @p1165)) % 0.52/0.79 (step @p1167 :rule ho_cong :premises (@p59 @p1166)) % 0.52/0.79 (step @p1168 :rule trans :premises (@p1167 @p1163)) % 0.52/0.79 (step @p1169 :rule eq_resolve :premises (@p14 @p1168)) % 0.52/0.79 (step @p1170 :rule instantiate :premises (@p1169) :args ((@list @t87 @t87 @t808))) % 0.52/0.79 (step @p1171 :rule cnf_or_pos :args (@t876)) % 0.52/0.79 (step @p1172 :rule reordering :premises (@p1171) :args ((or @t241 @t875 @t874 @t811 @t810 (not @t876)))) % 0.52/0.79 (step @p1173 :rule chain_m_resolution :premises (@p1172 @p1170 @p1088 @p1086 @p72 @p64) :args (@t875 @t317 (@list @t876 @t810 @t809 @t240 @t873))) % 0.52/0.79 (step @p1174 :rule skolemize :premises (@p1173)) % 0.52/0.79 (step @p1175 :rule cnf_or_neg :args (@t879 1)) % 0.52/0.79 (step @p1176 :rule chain_m_resolution :premises (@p1175 @p1174) :args ((not @t878) @t251 (@list @t879))) % 0.52/0.79 (assume-push @p1183 @t880) % 0.52/0.79 (step @p1178 :rule instantiate :premises (@p62) :args ((@list @t877))) % 0.52/0.79 (step-pop @p1184 :rule scope :premises (@p1178)) % 0.52/0.79 (step @p1179 :rule process_scope :premises (@p1184) :args (@t878)) % 0.52/0.79 (step @p1181 :rule implies_elim :premises (@p1179)) % 0.52/0.79 (step @p1182 false :rule chain_m_resolution :premises (@p1181 @p1176 @p62) :args (false (@list true false) (@list @t878 @t880))) % 0.52/0.79 ) % 0.52/0.79 % SZS output end Proof % 0.52/0.79 % cvc5 exiting %------------------------------------------------------------------------------