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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV008^5 : 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 08:55:18 AM UTC 2026

% Result   : Theorem 1.53s 1.75s
% Output   : Proof 1.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEV008^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n010.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 18:07:10 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.32/0.50  %----Proving TH0
% 1.53/1.75  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 1.53/1.75  % SZS status Theorem
% 1.53/1.75  % SZS output start Proof
% 1.53/1.75  (
% 1.53/1.75  (declare-sort tptp.a 0)
% 1.53/1.75  (define @t1 () (@var "Xz" tptp.a))
% 1.53/1.75  (define @t2 () (@var "S" (-> tptp.a Bool)))
% 1.53/1.75  (define @t3 () (_ @t2 @t1))
% 1.53/1.75  (define @t4 () (@var "Xx" tptp.a))
% 1.53/1.75  (define @t5 () (_ @t2 @t4))
% 1.53/1.75  (define @t6 () (@var "P" (-> (-> tptp.a Bool) Bool)))
% 1.53/1.75  (define @t7 () (_ @t6 @t2))
% 1.53/1.75  (define @t8 () (and @t7 @t5 @t3))
% 1.53/1.75  (define @t9 () (@list @t2))
% 1.53/1.75  (define @t10 () (exists @t9 @t8))
% 1.53/1.75  (define @t11 () (@var "Xy" tptp.a))
% 1.53/1.75  (define @t12 () (_ @t2 @t11))
% 1.53/1.75  (define @t13 () (and @t7 @t12 @t3))
% 1.53/1.75  (define @t14 () (exists @t9 @t13))
% 1.53/1.75  (define @t15 () (and @t7 @t5 @t12))
% 1.53/1.75  (define @t16 () (exists @t9 @t15))
% 1.53/1.75  (define @t17 () (and @t16 @t14))
% 1.53/1.75  (define @t18 () (=> @t17 @t10))
% 1.53/1.75  (define @t19 () (@list @t4 @t11 @t1))
% 1.53/1.75  (define @t20 () (forall @t19 @t18))
% 1.53/1.75  (define @t21 () (and @t7 @t12 @t5))
% 1.53/1.75  (define @t22 () (exists @t9 @t21))
% 1.53/1.75  (define @t23 () (=> @t16 @t22))
% 1.53/1.75  (define @t24 () (@list @t4 @t11))
% 1.53/1.75  (define @t25 () (forall @t24 @t23))
% 1.53/1.75  (define @t26 () (and @t7 @t5 @t5))
% 1.53/1.75  (define @t27 () (exists @t9 @t26))
% 1.53/1.75  (define @t28 () (@list @t4))
% 1.53/1.75  (define @t29 () (forall @t28 @t27))
% 1.53/1.75  (define @t30 () (and @t29 @t25 @t20))
% 1.53/1.75  (define @t31 () (@var "Xp" (-> tptp.a Bool)))
% 1.53/1.75  (define @t32 () (@var "Xq" (-> tptp.a Bool)))
% 1.53/1.75  (define @t33 () (_ @t32 @t4))
% 1.53/1.75  (define @t34 () (_ @t6 @t32))
% 1.53/1.75  (define @t35 () (and @t34 @t33))
% 1.53/1.75  (define @t36 () (=> @t35 (= @t32 @t31)))
% 1.53/1.75  (define @t37 () (@list @t32))
% 1.53/1.75  (define @t38 () (forall @t37 @t36))
% 1.53/1.75  (define @t39 () (_ @t31 @t4))
% 1.53/1.75  (define @t40 () (_ @t6 @t31))
% 1.53/1.75  (define @t41 () (and @t40 @t39 @t38))
% 1.53/1.75  (define @t42 () (@list @t31))
% 1.53/1.75  (define @t43 () (exists @t42 @t41))
% 1.53/1.75  (define @t44 () (forall @t28 @t43))
% 1.53/1.75  (define @t45 () (_ @t31 @t1))
% 1.53/1.75  (define @t46 () (@list @t1))
% 1.53/1.75  (define @t47 () (exists @t46 @t45))
% 1.53/1.75  (define @t48 () (=> @t40 @t47))
% 1.53/1.75  (define @t49 () (forall @t42 @t48))
% 1.53/1.75  (define @t50 () (and @t49 @t44))
% 1.53/1.75  (define @t51 () (=> @t50 @t30))
% 1.53/1.75  (define @t52 () (@list @t6))
% 1.53/1.75  (define @t53 () (forall @t52 @t51))
% 1.53/1.75  (define @t54 () (not @t53))
% 1.53/1.75  (define @t55 () (@var "BOUND_VARIABLE_7652" tptp.a))
% 1.53/1.75  (define @t56 () (@var "BOUND_VARIABLE_7656" (-> tptp.a Bool)))
% 1.53/1.75  (define @t57 () (@var "BOUND_VARIABLE_7650" tptp.a))
% 1.53/1.75  (define @t58 () (@var "BOUND_VARIABLE_7654" (-> tptp.a Bool)))
% 1.53/1.75  (define @t59 () (@var "BOUND_VARIABLE_7648" tptp.a))
% 1.53/1.75  (define @t60 () (_ @t6 @t2))
% 1.53/1.75  (define @t61 () (not @t60))
% 1.53/1.75  (define @t62 () (or (not (forall @t9 (or @t61 (not (_ @t2 @t59)) (not (_ @t2 @t55))))) (not (_ @t6 @t58)) (not (_ @t58 @t59)) (not (_ @t58 @t57)) (not (_ @t6 @t56)) (not (_ @t56 @t57)) (not (_ @t56 @t55))))
% 1.53/1.75  (define @t63 () (@var "BOUND_VARIABLE_7630" tptp.a))
% 1.53/1.75  (define @t64 () (@var "BOUND_VARIABLE_7632" (-> tptp.a Bool)))
% 1.53/1.75  (define @t65 () (@var "BOUND_VARIABLE_7628" tptp.a))
% 1.53/1.75  (define @t66 () (or (not (forall @t9 (or @t61 (not (_ @t2 @t63)) (not (_ @t2 @t65))))) (not (_ @t6 @t64)) (not (_ @t64 @t65)) (not (_ @t64 @t63))))
% 1.53/1.75  (define @t67 () (@var "BOUND_VARIABLE_7621" tptp.a))
% 1.53/1.75  (define @t68 () (not (forall @t9 (or @t61 (not (_ @t2 @t67))))))
% 1.53/1.75  (define @t69 () (and @t68 @t66 @t62))
% 1.53/1.75  (define @t70 () (= @t31 @t32))
% 1.53/1.75  (define @t71 () (_ @t32 @t4))
% 1.53/1.75  (define @t72 () (not @t71))
% 1.53/1.75  (define @t73 () (_ @t6 @t32))
% 1.53/1.75  (define @t74 () (forall @t37 (or (not @t73) @t72 @t70)))
% 1.53/1.75  (define @t75 () (not @t74))
% 1.53/1.75  (define @t76 () (_ @t31 @t4))
% 1.53/1.75  (define @t77 () (not @t76))
% 1.53/1.75  (define @t78 () (_ @t6 @t31))
% 1.53/1.75  (define @t79 () (not @t78))
% 1.53/1.75  (define @t80 () (forall @t28 (not (forall @t42 (or @t79 @t77 @t75)))))
% 1.53/1.75  (define @t81 () (not @t80))
% 1.53/1.75  (define @t82 () (_ @t31 @t1))
% 1.53/1.75  (define @t83 () (not (forall @t46 (not @t82))))
% 1.53/1.75  (define @t84 () (forall @t42 (or @t79 @t83)))
% 1.53/1.75  (define @t85 () (not @t84))
% 1.53/1.75  (define @t86 () (or @t85 @t81 @t69))
% 1.53/1.75  (define @t87 () (forall (@list @t6 @t67 @t65 @t63 @t64 @t59 @t57 @t55 @t58 @t56) @t86))
% 1.53/1.75  (define @t88 () (@quantifiers_skolemize @t87 7))
% 1.53/1.75  (define @t89 () (@quantifiers_skolemize @t87 5))
% 1.53/1.75  (define @t90 () (@quantifiers_skolemize @t87 0))
% 1.53/1.75  (define @t91 () (not (_ @t90 @t2)))
% 1.53/1.75  (define @t92 () (forall @t9 (or @t91 (not (_ @t2 @t89)) (not (_ @t2 @t88)))))
% 1.53/1.75  (define @t93 () (@quantifiers_skolemize @t87 9))
% 1.53/1.75  (define @t94 () (_ @t93 @t88))
% 1.53/1.75  (define @t95 () (not @t94))
% 1.53/1.75  (define @t96 () (@quantifiers_skolemize @t87 6))
% 1.53/1.75  (define @t97 () (_ @t93 @t96))
% 1.53/1.75  (define @t98 () (not @t97))
% 1.53/1.75  (define @t99 () (_ @t90 @t93))
% 1.53/1.75  (define @t100 () (not @t99))
% 1.53/1.75  (define @t101 () (@quantifiers_skolemize @t87 8))
% 1.53/1.75  (define @t102 () (_ @t101 @t96))
% 1.53/1.75  (define @t103 () (not @t102))
% 1.53/1.75  (define @t104 () (_ @t101 @t89))
% 1.53/1.75  (define @t105 () (not @t104))
% 1.53/1.75  (define @t106 () (_ @t90 @t101))
% 1.53/1.75  (define @t107 () (not @t106))
% 1.53/1.75  (define @t108 () (not @t92))
% 1.53/1.75  (define @t109 () (or @t108 @t107 @t105 @t103 @t100 @t98 @t95))
% 1.53/1.75  (define @t110 () (@list @t93))
% 1.53/1.75  (define @t111 () (_ @t93 @t89))
% 1.53/1.75  (define @t112 () (not @t111))
% 1.53/1.75  (define @t113 () (or @t100 @t112 @t95))
% 1.53/1.75  (define @t114 () (@list @t67 @t65 @t63 @t64 @t59 @t57 @t55 @t58 @t56))
% 1.53/1.75  (define @t115 () (forall @t114 @t86))
% 1.53/1.75  (define @t116 () (forall (@list @t59 @t57 @t55 @t58 @t56) @t62))
% 1.53/1.75  (define @t117 () (@var "BOUND_VARIABLE_7598" (-> tptp.a Bool)))
% 1.53/1.75  (define @t118 () (@var "BOUND_VARIABLE_7589" (-> tptp.a Bool)))
% 1.53/1.75  (define @t119 () (forall @t114 @t62))
% 1.53/1.75  (define @t120 () (forall (@list @t65 @t63 @t64) @t66))
% 1.53/1.75  (define @t121 () (@var "BOUND_VARIABLE_7549" (-> tptp.a Bool)))
% 1.53/1.75  (define @t122 () (forall @t114 @t66))
% 1.53/1.75  (define @t123 () (forall (@list @t67) @t68))
% 1.53/1.75  (define @t124 () (forall @t114 @t68))
% 1.53/1.75  (define @t125 () (and @t124 @t122 @t119))
% 1.53/1.75  (define @t126 () (forall @t114 @t69))
% 1.53/1.75  (define @t127 () (or @t85 @t81 @t126))
% 1.53/1.75  (define @t128 () (not (_ @t117 @t1)))
% 1.53/1.75  (define @t129 () (not (_ @t117 @t11)))
% 1.53/1.75  (define @t130 () (not (_ @t6 @t117)))
% 1.53/1.75  (define @t131 () (not (_ @t118 @t11)))
% 1.53/1.75  (define @t132 () (not (_ @t118 @t4)))
% 1.53/1.75  (define @t133 () (not (_ @t6 @t118)))
% 1.53/1.75  (define @t134 () (_ @t2 @t1))
% 1.53/1.75  (define @t135 () (not @t134))
% 1.53/1.75  (define @t136 () (_ @t2 @t4))
% 1.53/1.75  (define @t137 () (not @t136))
% 1.53/1.75  (define @t138 () (not (forall @t9 (or @t61 @t137 @t135))))
% 1.53/1.75  (define @t139 () (or @t138 @t133 @t132 @t131 @t130 @t129 @t128))
% 1.53/1.75  (define @t140 () (@list @t4 @t11 @t1 @t118 @t117))
% 1.53/1.75  (define @t141 () (not (_ @t121 @t11)))
% 1.53/1.75  (define @t142 () (not (_ @t121 @t4)))
% 1.53/1.75  (define @t143 () (not (_ @t6 @t121)))
% 1.53/1.75  (define @t144 () (_ @t2 @t11))
% 1.53/1.75  (define @t145 () (not @t144))
% 1.53/1.75  (define @t146 () (not (forall @t9 (or @t61 @t145 @t137))))
% 1.53/1.75  (define @t147 () (or @t146 @t143 @t142 @t141))
% 1.53/1.75  (define @t148 () (@list @t4 @t11 @t121))
% 1.53/1.75  (define @t149 () (and (forall @t28 (not (forall @t9 (or @t61 @t137)))) (forall @t148 @t147) (forall @t140 @t139)))
% 1.53/1.75  (define @t150 () (or @t85 @t81 @t149))
% 1.53/1.75  (define @t151 () (and @t84 @t80))
% 1.53/1.75  (define @t152 () (or @t130 @t129 @t128))
% 1.53/1.75  (define @t153 () (or @t133 @t132 @t131))
% 1.53/1.75  (define @t154 () (or @t153 @t152 @t138))
% 1.53/1.75  (define @t155 () (forall @t140 @t154))
% 1.53/1.75  (define @t156 () (forall (@list @t118 @t117) @t154))
% 1.53/1.75  (define @t157 () (forall (@list @t117) @t152))
% 1.53/1.75  (define @t158 () (@list @t2))
% 1.53/1.75  (define @t159 () (forall (@list @t118) @t153))
% 1.53/1.75  (define @t160 () (or @t159 @t157 @t138))
% 1.53/1.75  (define @t161 () (forall @t9 (or @t61 @t145 @t135)))
% 1.53/1.75  (define @t162 () (forall @t9 (or @t61 @t137 @t145)))
% 1.53/1.75  (define @t163 () (or @t162 @t161 @t138))
% 1.53/1.75  (define @t164 () (not @t161))
% 1.53/1.75  (define @t165 () (not @t162))
% 1.53/1.75  (define @t166 () (not @t165))
% 1.53/1.75  (define @t167 () (and @t165 @t164))
% 1.53/1.75  (define @t168 () (not @t3))
% 1.53/1.75  (define @t169 () (not @t5))
% 1.53/1.75  (define @t170 () (not @t7))
% 1.53/1.75  (define @t171 () (or @t170 @t169 @t168))
% 1.53/1.75  (define @t172 () (forall @t9 (not @t8)))
% 1.53/1.75  (define @t173 () (not @t172))
% 1.53/1.75  (define @t174 () (not @t12))
% 1.53/1.75  (define @t175 () (or @t170 @t174 @t168))
% 1.53/1.75  (define @t176 () (forall @t9 (not @t13)))
% 1.53/1.75  (define @t177 () (not @t176))
% 1.53/1.75  (define @t178 () (or @t170 @t169 @t174))
% 1.53/1.75  (define @t179 () (forall @t9 (not @t15)))
% 1.53/1.75  (define @t180 () (not @t179))
% 1.53/1.75  (define @t181 () (or @t143 @t142 @t141))
% 1.53/1.75  (define @t182 () (or @t181 @t146))
% 1.53/1.75  (define @t183 () (forall @t148 @t182))
% 1.53/1.75  (define @t184 () (@list @t121))
% 1.53/1.75  (define @t185 () (forall @t184 @t182))
% 1.53/1.75  (define @t186 () (forall @t184 @t181))
% 1.53/1.75  (define @t187 () (or @t186 @t146))
% 1.53/1.75  (define @t188 () (or @t170 @t174 @t169))
% 1.53/1.75  (define @t189 () (forall @t9 (not @t21)))
% 1.53/1.75  (define @t190 () (not @t189))
% 1.53/1.75  (define @t191 () (or @t170 @t169))
% 1.53/1.75  (define @t192 () (or @t170 @t169 @t169))
% 1.53/1.75  (define @t193 () (forall @t9 (not @t26)))
% 1.53/1.75  (define @t194 () (not @t193))
% 1.53/1.75  (define @t195 () (not @t39))
% 1.53/1.75  (define @t196 () (not @t40))
% 1.53/1.75  (define @t197 () (or @t196 @t195 @t75))
% 1.53/1.75  (define @t198 () (and @t40 @t39 @t74))
% 1.53/1.75  (define @t199 () (forall @t42 (not @t198)))
% 1.53/1.75  (define @t200 () (not @t199))
% 1.53/1.75  (define @t201 () (not @t33))
% 1.53/1.75  (define @t202 () (not @t34))
% 1.53/1.75  (define @t203 () (or @t202 @t201 @t70))
% 1.53/1.75  (define @t204 () (or @t196 @t83))
% 1.53/1.75  (define @t205 () (not @t45))
% 1.53/1.75  (define @t206 () (forall @t46 @t205))
% 1.53/1.75  (define @t207 () (not @t206))
% 1.53/1.75  (define @t208 () (not (_ @t90 @t32)))
% 1.53/1.75  (define @t209 () (not (_ @t90 @t31)))
% 1.53/1.75  (define @t210 () (forall @t28 (not (forall @t42 (or @t209 @t77 (not (forall @t37 (or @t208 @t72 @t70))))))))
% 1.53/1.75  (define @t211 () (@quantifiers_skolemize @t87 3))
% 1.53/1.75  (define @t212 () (@quantifiers_skolemize @t87 4))
% 1.53/1.75  (define @t213 () (_ @t212 @t211))
% 1.53/1.75  (define @t214 () (not @t213))
% 1.53/1.75  (define @t215 () (@quantifiers_skolemize @t87 2))
% 1.53/1.75  (define @t216 () (_ @t212 @t215))
% 1.53/1.75  (define @t217 () (not @t216))
% 1.53/1.75  (define @t218 () (_ @t90 @t212))
% 1.53/1.75  (define @t219 () (not @t218))
% 1.53/1.75  (define @t220 () (forall @t9 (or @t91 (not (_ @t2 @t211)) (not (_ @t2 @t215)))))
% 1.53/1.75  (define @t221 () (not @t220))
% 1.53/1.75  (define @t222 () (or @t221 @t219 @t217 @t214))
% 1.53/1.75  (define @t223 () (@quantifiers_skolemize @t87 1))
% 1.53/1.75  (define @t224 () (forall @t9 (or @t91 (not (_ @t2 @t223)))))
% 1.53/1.75  (define @t225 () (not @t224))
% 1.53/1.75  (define @t226 () (and @t225 @t222 @t109))
% 1.53/1.75  (define @t227 () (not @t210))
% 1.53/1.75  (define @t228 () (or (not (forall @t42 (or @t209 @t83))) @t227 @t226))
% 1.53/1.75  (define @t229 () (@list true))
% 1.53/1.75  (define @t230 () (@list @t228))
% 1.53/1.75  (define @t231 () (not (_ @t32 @t96)))
% 1.53/1.75  (define @t232 () (forall @t42 (or @t209 (not (_ @t31 @t96)) (not (forall @t37 (or @t208 @t231 @t70))))))
% 1.53/1.75  (define @t233 () (@quantifiers_skolemize @t232 0))
% 1.53/1.75  (define @t234 () (forall @t37 (or @t208 @t231 (= @t32 @t233))))
% 1.53/1.75  (define @t235 () (not @t234))
% 1.53/1.75  (define @t236 () (not (_ @t233 @t96)))
% 1.53/1.75  (define @t237 () (not (_ @t90 @t233)))
% 1.53/1.75  (define @t238 () (or @t237 @t236 @t235))
% 1.53/1.75  (define @t239 () (not @t238))
% 1.53/1.75  (define @t240 () (not @t232))
% 1.53/1.75  (define @t241 () (or @t208 @t231 (= @t233 @t32)))
% 1.53/1.75  (define @t242 () (forall @t37 @t241))
% 1.53/1.75  (define @t243 () (not @t242))
% 1.53/1.75  (define @t244 () (or @t237 @t236 @t243))
% 1.53/1.75  (define @t245 () (not @t244))
% 1.53/1.75  (define @t246 () (= @t101 @t233))
% 1.53/1.75  (define @t247 () (or @t107 @t103 @t246))
% 1.53/1.75  (define @t248 () (= @t93 @t233))
% 1.53/1.75  (define @t249 () (or @t100 @t98 @t248))
% 1.53/1.75  (define @t250 () (= @t101 @t93))
% 1.53/1.75  (define @t251 () (not @t250))
% 1.53/1.75  (define @t252 () (and @t248 @t246))
% 1.53/1.75  (define @t253 () (not (_ @t32 @t223)))
% 1.53/1.75  (define @t254 () (forall @t42 (or @t209 (not (_ @t31 @t223)) (not (forall @t37 (or @t208 @t253 @t70))))))
% 1.53/1.75  (define @t255 () (@quantifiers_skolemize @t254 0))
% 1.53/1.75  (define @t256 () (_ @t255 @t223))
% 1.53/1.75  (define @t257 () (not @t256))
% 1.53/1.75  (define @t258 () (_ @t90 @t255))
% 1.53/1.75  (define @t259 () (not @t258))
% 1.53/1.75  (define @t260 () (or @t259 @t257 (not (forall @t37 (or @t208 @t253 (= @t32 @t255))))))
% 1.53/1.75  (define @t261 () (not @t260))
% 1.53/1.75  (define @t262 () (not @t254))
% 1.53/1.75  (define @t263 () (or @t208 @t253 (= @t255 @t32)))
% 1.53/1.75  (define @t264 () (forall @t37 @t263))
% 1.53/1.75  (define @t265 () (not @t264))
% 1.53/1.75  (define @t266 () (or @t259 @t257 @t265))
% 1.53/1.75  (define @t267 () (not @t266))
% 1.53/1.75  (define @t268 () (@list @t260))
% 1.53/1.75  (define @t269 () (or @t259 @t257))
% 1.53/1.75  (define @t270 () (not @t269))
% 1.53/1.75  (define @t271 () (not @t109))
% 1.53/1.75  (define @t272 () (not @t222))
% 1.53/1.75  (define @t273 () (@list @t222))
% 1.53/1.75  (define @t274 () (or @t219 @t214 @t217))
% 1.53/1.75  (assume @p1 @t54)
% 1.53/1.75  (assume @p2 true)
% 1.53/1.75  (step @p3 :rule bool-double-not-elim :args (@t92))
% 1.53/1.75  (step @p4 :rule refl :args (@t109))
% 1.53/1.75  (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t109 (not @t108))))
% 1.53/1.75  (step @p6 :rule cnf_or_neg :args (@t109 0))
% 1.53/1.75  (step @p7 :rule eq_resolve :premises (@p6 @p5))
% 1.53/1.75  (step @p8 :rule reordering :premises (@p7) :args ((or @t92 @t109)))
% 1.53/1.75  (step @p9 :rule bool-double-not-elim :args (@t106))
% 1.53/1.75  (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t109 (not @t107))))
% 1.53/1.75  (step @p11 :rule cnf_or_neg :args (@t109 1))
% 1.53/1.75  (step @p12 :rule eq_resolve :premises (@p11 @p10))
% 1.53/1.75  (step @p13 :rule reordering :premises (@p12) :args ((or @t106 @t109)))
% 1.53/1.75  (step @p14 :rule bool-double-not-elim :args (@t104))
% 1.53/1.75  (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t109 (not @t105))))
% 1.53/1.75  (step @p16 :rule cnf_or_neg :args (@t109 2))
% 1.53/1.75  (step @p17 :rule eq_resolve :premises (@p16 @p15))
% 1.53/1.75  (step @p18 :rule reordering :premises (@p17) :args ((or @t104 @t109)))
% 1.53/1.75  (step @p19 :rule bool-double-not-elim :args (@t102))
% 1.53/1.75  (step @p20 :rule nary_cong :premises (@p4 @p19) :args ((or @t109 (not @t103))))
% 1.53/1.75  (step @p21 :rule cnf_or_neg :args (@t109 3))
% 1.53/1.75  (step @p22 :rule eq_resolve :premises (@p21 @p20))
% 1.53/1.75  (step @p23 :rule reordering :premises (@p22) :args ((or @t102 @t109)))
% 1.53/1.75  (step @p24 :rule bool-double-not-elim :args (@t99))
% 1.53/1.75  (step @p25 :rule nary_cong :premises (@p4 @p24) :args ((or @t109 (not @t100))))
% 1.53/1.75  (step @p26 :rule cnf_or_neg :args (@t109 4))
% 1.53/1.75  (step @p27 :rule eq_resolve :premises (@p26 @p25))
% 1.53/1.75  (step @p28 :rule reordering :premises (@p27) :args ((or @t99 @t109)))
% 1.53/1.75  (step @p29 :rule bool-double-not-elim :args (@t97))
% 1.53/1.75  (step @p30 :rule nary_cong :premises (@p4 @p29) :args ((or @t109 (not @t98))))
% 1.53/1.75  (step @p31 :rule cnf_or_neg :args (@t109 5))
% 1.53/1.75  (step @p32 :rule eq_resolve :premises (@p31 @p30))
% 1.53/1.75  (step @p33 :rule reordering :premises (@p32) :args ((or @t97 @t109)))
% 1.53/1.75  (step @p34 :rule bool-double-not-elim :args (@t94))
% 1.53/1.75  (step @p35 :rule nary_cong :premises (@p4 @p34) :args ((or @t109 (not @t95))))
% 1.53/1.75  (step @p36 :rule cnf_or_neg :args (@t109 6))
% 1.53/1.75  (step @p37 :rule eq_resolve :premises (@p36 @p35))
% 1.53/1.75  (step @p38 :rule reordering :premises (@p37) :args ((or @t94 @t109)))
% 1.53/1.75  (assume-push @p481 @t92)
% 1.53/1.75  (step @p40 :rule instantiate :premises (@p481) :args (@t110))
% 1.53/1.75  (step-pop @p482 :rule scope :premises (@p40))
% 1.53/1.75  (step @p41 :rule process_scope :premises (@p482) :args (@t113))
% 1.53/1.75  (step @p43 :rule implies_elim :premises (@p41))
% 1.53/1.75  (step @p44 :rule quant-merge-prenex :args ((= (forall @t52 @t115) @t87)))
% 1.53/1.75  (step @p45 :rule alpha_equiv :args (@t116 (@list @t59 @t57 @t55 @t58 @t56) (@list @t4 @t11 @t1 @t118 @t117)))
% 1.53/1.75  (step @p46 :rule quant-unused-vars :args ((= @t119 @t116)))
% 1.53/1.75  (step @p47 :rule trans :premises (@p46 @p45))
% 1.53/1.75  (step @p48 :rule alpha_equiv :args (@t120 (@list @t65 @t63 @t64) (@list @t4 @t11 @t121)))
% 1.53/1.75  (step @p49 :rule quant-unused-vars :args ((= @t122 @t120)))
% 1.53/1.75  (step @p50 :rule trans :premises (@p49 @p48))
% 1.53/1.75  (step @p51 :rule alpha_equiv :args (@t123 (@list @t67) (@list @t4)))
% 1.53/1.75  (step @p52 :rule quant-unused-vars :args ((= @t124 @t123)))
% 1.53/1.75  (step @p53 :rule trans :premises (@p52 @p51))
% 1.53/1.75  (step @p54 :rule nary_cong :premises (@p53 @p50 @p47) :args (@t125))
% 1.53/1.75  (step @p55 :rule quant-miniscope-and :args ((= @t126 @t125)))
% 1.53/1.75  (step @p56 :rule trans :premises (@p55 @p54))
% 1.53/1.75  (step @p57 :rule refl :args (@t81))
% 1.53/1.75  (step @p58 :rule refl :args (@t85))
% 1.53/1.75  (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args (@t127))
% 1.53/1.75  (step @p60 :rule quant-miniscope-or :args ((= @t115 @t127)))
% 1.53/1.75  (step @p61 :rule trans :premises (@p60 @p59))
% 1.53/1.75  (step @p62 :rule symm :premises (@p61))
% 1.53/1.75  (step @p63 :rule cong :premises (@p62) :args ((forall @t52 @t150)))
% 1.53/1.75  (step @p64 :rule trans :premises (@p63 @p44))
% 1.53/1.75  (step @p65 :rule aci_norm :args ((= (or (or @t85 @t81) @t149) @t150)))
% 1.53/1.75  (step @p66 :rule refl :args (@t149))
% 1.53/1.75  (step @p67 :rule bool-and-de-morgan :args (@t84 @t80 true))
% 1.53/1.75  (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or (not @t151) @t149)))
% 1.53/1.75  (step @p69 :rule trans :premises (@p68 @p65))
% 1.53/1.75  (step @p70 :rule bool-impl-elim :args (@t151 @t149))
% 1.53/1.75  (step @p71 :rule trans :premises (@p70 @p69))
% 1.53/1.75  (step @p72 :rule cong :premises (@p71) :args ((forall @t52 (=> @t151 @t149))))
% 1.53/1.75  (step @p73 :rule trans :premises (@p72 @p64))
% 1.53/1.75  (step @p74 :rule aci_norm :args ((= @t154 @t139)))
% 1.53/1.75  (step @p75 :rule cong :premises (@p74) :args (@t155))
% 1.53/1.75  (step @p76 :rule quant-merge-prenex :args ((= (forall @t19 @t156) @t155)))
% 1.53/1.75  (step @p77 :rule refl :args (@t138))
% 1.53/1.75  (step @p78 :rule alpha_equiv :args (@t157 (@list @t117) @t158))
% 1.53/1.75  (step @p79 :rule alpha_equiv :args (@t159 (@list @t118) @t158))
% 1.53/1.75  (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t160))
% 1.53/1.75  (step @p81 :rule quant-miniscope-or :args ((= @t156 @t160)))
% 1.53/1.75  (step @p82 :rule trans :premises (@p81 @p80))
% 1.53/1.75  (step @p83 :rule symm :premises (@p82))
% 1.53/1.75  (step @p84 :rule cong :premises (@p83) :args ((forall @t19 @t163)))
% 1.53/1.75  (step @p85 :rule trans :premises (@p84 @p76))
% 1.53/1.75  (step @p86 :rule trans :premises (@p85 @p75))
% 1.53/1.75  (step @p87 :rule aci_norm :args ((= (or (or @t162 @t161) @t138) @t163)))
% 1.53/1.75  (step @p88 :rule bool-double-not-elim :args (@t161))
% 1.53/1.75  (step @p89 :rule bool-double-not-elim :args (@t162))
% 1.53/1.75  (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t166 (not @t164))))
% 1.53/1.75  (step @p91 :rule bool-and-de-morgan :args (@t165 @t164 true))
% 1.53/1.75  (step @p92 :rule trans :premises (@p91 @p90))
% 1.53/1.75  (step @p93 :rule nary_cong :premises (@p92 @p77) :args ((or (not @t167) @t138)))
% 1.53/1.75  (step @p94 :rule trans :premises (@p93 @p87))
% 1.53/1.75  (step @p95 :rule bool-impl-elim :args (@t167 @t138))
% 1.53/1.75  (step @p96 :rule trans :premises (@p95 @p94))
% 1.53/1.75  (step @p97 :rule cong :premises (@p96) :args ((forall @t19 (=> @t167 @t138))))
% 1.53/1.75  (step @p98 :rule trans :premises (@p97 @p86))
% 1.53/1.75  (step @p99 :rule refl :args (@t134))
% 1.53/1.75  (step @p100 :rule refl :args (@t3))
% 1.53/1.75  (step @p101 :rule cong :premises (@p100 @p99) :args ((= @t3 @t134)))
% 1.53/1.75  (step @p102 :rule symm :premises (@p101))
% 1.53/1.75  (step @p103 :rule eq_resolve :premises (@p100 @p102))
% 1.53/1.75  (step @p104 :rule cong :premises (@p103) :args (@t168))
% 1.53/1.75  (step @p105 :rule refl :args (@t136))
% 1.53/1.75  (step @p106 :rule refl :args (@t5))
% 1.53/1.75  (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t5 @t136)))
% 1.53/1.75  (step @p108 :rule symm :premises (@p107))
% 1.53/1.75  (step @p109 :rule eq_resolve :premises (@p106 @p108))
% 1.53/1.75  (step @p110 :rule cong :premises (@p109) :args (@t169))
% 1.53/1.75  (step @p111 :rule refl :args (@t60))
% 1.53/1.75  (step @p112 :rule refl :args (@t7))
% 1.53/1.75  (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t7 @t60)))
% 1.53/1.75  (step @p114 :rule symm :premises (@p113))
% 1.53/1.75  (step @p115 :rule eq_resolve :premises (@p112 @p114))
% 1.53/1.75  (step @p116 :rule cong :premises (@p115) :args (@t170))
% 1.53/1.75  (step @p117 :rule nary_cong :premises (@p116 @p110 @p104) :args (@t171))
% 1.53/1.75  (step @p118 :rule cong :premises (@p117) :args ((forall @t9 @t171)))
% 1.53/1.75  (step @p119 :rule aci_norm :args ((= (or @t170 (or @t169 @t168)) @t171)))
% 1.53/1.75  (step @p120 :rule bool-and-de-morgan :args (@t5 @t3 true))
% 1.53/1.75  (step @p121 :rule refl :args (@t170))
% 1.53/1.75  (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t170 (not (and @t5 @t3)))))
% 1.53/1.75  (step @p123 :rule bool-and-de-morgan :args (@t7 @t5 (and @t3)))
% 1.53/1.75  (step @p124 :rule trans :premises (@p123 @p122))
% 1.53/1.75  (step @p125 :rule trans :premises (@p124 @p119))
% 1.53/1.75  (step @p126 :rule cong :premises (@p125) :args (@t172))
% 1.53/1.75  (step @p127 :rule trans :premises (@p126 @p118))
% 1.53/1.75  (step @p128 :rule cong :premises (@p127) :args (@t173))
% 1.53/1.75  (step @p129 :rule exists-elim :args ((= @t10 @t173)))
% 1.53/1.75  (step @p130 :rule trans :premises (@p129 @p128))
% 1.53/1.75  (step @p131 :rule refl :args (@t144))
% 1.53/1.75  (step @p132 :rule refl :args (@t12))
% 1.53/1.75  (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t12 @t144)))
% 1.53/1.75  (step @p134 :rule symm :premises (@p133))
% 1.53/1.75  (step @p135 :rule eq_resolve :premises (@p132 @p134))
% 1.53/1.75  (step @p136 :rule cong :premises (@p135) :args (@t174))
% 1.53/1.75  (step @p137 :rule nary_cong :premises (@p116 @p136 @p104) :args (@t175))
% 1.53/1.75  (step @p138 :rule cong :premises (@p137) :args ((forall @t9 @t175)))
% 1.53/1.75  (step @p139 :rule aci_norm :args ((= (or @t170 (or @t174 @t168)) @t175)))
% 1.53/1.75  (step @p140 :rule bool-and-de-morgan :args (@t12 @t3 true))
% 1.53/1.75  (step @p141 :rule nary_cong :premises (@p121 @p140) :args ((or @t170 (not (and @t12 @t3)))))
% 1.53/1.75  (step @p142 :rule bool-and-de-morgan :args (@t7 @t12 (and @t3)))
% 1.53/1.75  (step @p143 :rule trans :premises (@p142 @p141))
% 1.53/1.75  (step @p144 :rule trans :premises (@p143 @p139))
% 1.53/1.75  (step @p145 :rule cong :premises (@p144) :args (@t176))
% 1.53/1.75  (step @p146 :rule trans :premises (@p145 @p138))
% 1.53/1.75  (step @p147 :rule cong :premises (@p146) :args (@t177))
% 1.53/1.75  (step @p148 :rule exists-elim :args ((= @t14 @t177)))
% 1.53/1.75  (step @p149 :rule trans :premises (@p148 @p147))
% 1.53/1.75  (step @p150 :rule nary_cong :premises (@p116 @p110 @p136) :args (@t178))
% 1.53/1.75  (step @p151 :rule cong :premises (@p150) :args ((forall @t9 @t178)))
% 1.53/1.75  (step @p152 :rule aci_norm :args ((= (or @t170 (or @t169 @t174)) @t178)))
% 1.53/1.75  (step @p153 :rule bool-and-de-morgan :args (@t5 @t12 true))
% 1.53/1.75  (step @p154 :rule nary_cong :premises (@p121 @p153) :args ((or @t170 (not (and @t5 @t12)))))
% 1.53/1.75  (step @p155 :rule bool-and-de-morgan :args (@t7 @t5 (and @t12)))
% 1.53/1.75  (step @p156 :rule trans :premises (@p155 @p154))
% 1.53/1.75  (step @p157 :rule trans :premises (@p156 @p152))
% 1.53/1.75  (step @p158 :rule cong :premises (@p157) :args (@t179))
% 1.53/1.75  (step @p159 :rule trans :premises (@p158 @p151))
% 1.53/1.75  (step @p160 :rule cong :premises (@p159) :args (@t180))
% 1.53/1.75  (step @p161 :rule exists-elim :args ((= @t16 @t180)))
% 1.53/1.75  (step @p162 :rule trans :premises (@p161 @p160))
% 1.53/1.75  (step @p163 :rule nary_cong :premises (@p162 @p149) :args (@t17))
% 1.53/1.75  (step @p164 :rule cong :premises (@p163 @p130) :args (@t18))
% 1.53/1.75  (step @p165 :rule cong :premises (@p164) :args (@t20))
% 1.53/1.75  (step @p166 :rule trans :premises (@p165 @p98))
% 1.53/1.75  (step @p167 :rule aci_norm :args ((= @t182 @t147)))
% 1.53/1.75  (step @p168 :rule cong :premises (@p167) :args (@t183))
% 1.53/1.75  (step @p169 :rule quant-merge-prenex :args ((= (forall @t24 @t185) @t183)))
% 1.53/1.75  (step @p170 :rule refl :args (@t146))
% 1.53/1.75  (step @p171 :rule alpha_equiv :args (@t186 (@list @t121) @t158))
% 1.53/1.75  (step @p172 :rule nary_cong :premises (@p171 @p170) :args (@t187))
% 1.53/1.75  (step @p173 :rule quant-miniscope-or :args ((= @t185 @t187)))
% 1.53/1.75  (step @p174 :rule trans :premises (@p173 @p172))
% 1.53/1.75  (step @p175 :rule symm :premises (@p174))
% 1.53/1.75  (step @p176 :rule cong :premises (@p175) :args ((forall @t24 (or @t162 @t146))))
% 1.53/1.75  (step @p177 :rule trans :premises (@p176 @p169))
% 1.53/1.75  (step @p178 :rule trans :premises (@p177 @p168))
% 1.53/1.75  (step @p179 :rule nary_cong :premises (@p89 @p170) :args ((or @t166 @t146)))
% 1.53/1.75  (step @p180 :rule bool-impl-elim :args (@t165 @t146))
% 1.53/1.75  (step @p181 :rule trans :premises (@p180 @p179))
% 1.53/1.75  (step @p182 :rule cong :premises (@p181) :args ((forall @t24 (=> @t165 @t146))))
% 1.53/1.75  (step @p183 :rule trans :premises (@p182 @p178))
% 1.53/1.75  (step @p184 :rule nary_cong :premises (@p116 @p136 @p110) :args (@t188))
% 1.53/1.75  (step @p185 :rule cong :premises (@p184) :args ((forall @t9 @t188)))
% 1.53/1.75  (step @p186 :rule aci_norm :args ((= (or @t170 (or @t174 @t169)) @t188)))
% 1.53/1.75  (step @p187 :rule bool-and-de-morgan :args (@t12 @t5 true))
% 1.53/1.75  (step @p188 :rule nary_cong :premises (@p121 @p187) :args ((or @t170 (not (and @t12 @t5)))))
% 1.53/1.75  (step @p189 :rule bool-and-de-morgan :args (@t7 @t12 (and @t5)))
% 1.53/1.75  (step @p190 :rule trans :premises (@p189 @p188))
% 1.53/1.75  (step @p191 :rule trans :premises (@p190 @p186))
% 1.53/1.75  (step @p192 :rule cong :premises (@p191) :args (@t189))
% 1.53/1.75  (step @p193 :rule trans :premises (@p192 @p185))
% 1.53/1.75  (step @p194 :rule cong :premises (@p193) :args (@t190))
% 1.53/1.75  (step @p195 :rule exists-elim :args ((= @t22 @t190)))
% 1.53/1.75  (step @p196 :rule trans :premises (@p195 @p194))
% 1.53/1.75  (step @p197 :rule cong :premises (@p162 @p196) :args (@t23))
% 1.53/1.75  (step @p198 :rule cong :premises (@p197) :args (@t25))
% 1.53/1.75  (step @p199 :rule trans :premises (@p198 @p183))
% 1.53/1.75  (step @p200 :rule nary_cong :premises (@p116 @p110) :args (@t191))
% 1.53/1.75  (step @p201 :rule cong :premises (@p200) :args ((forall @t9 @t191)))
% 1.53/1.75  (step @p202 :rule aci_norm :args ((= @t192 @t191)))
% 1.53/1.75  (step @p203 :rule aci_norm :args ((= (or @t170 (or @t169 @t169)) @t192)))
% 1.53/1.75  (step @p204 :rule bool-and-de-morgan :args (@t5 @t5 true))
% 1.53/1.75  (step @p205 :rule nary_cong :premises (@p121 @p204) :args ((or @t170 (not (and @t5 @t5)))))
% 1.53/1.75  (step @p206 :rule bool-and-de-morgan :args (@t7 @t5 (and @t5)))
% 1.53/1.75  (step @p207 :rule trans :premises (@p206 @p205))
% 1.53/1.75  (step @p208 :rule trans :premises (@p207 @p203))
% 1.53/1.75  (step @p209 :rule trans :premises (@p208 @p202))
% 1.53/1.75  (step @p210 :rule cong :premises (@p209) :args (@t193))
% 1.53/1.75  (step @p211 :rule trans :premises (@p210 @p201))
% 1.53/1.75  (step @p212 :rule cong :premises (@p211) :args (@t194))
% 1.53/1.75  (step @p213 :rule exists-elim :args ((= @t27 @t194)))
% 1.53/1.75  (step @p214 :rule trans :premises (@p213 @p212))
% 1.53/1.75  (step @p215 :rule cong :premises (@p214) :args (@t29))
% 1.53/1.75  (step @p216 :rule nary_cong :premises (@p215 @p199 @p166) :args (@t30))
% 1.53/1.75  (step @p217 :rule refl :args (@t75))
% 1.53/1.75  (step @p218 :rule refl :args (@t76))
% 1.53/1.75  (step @p219 :rule refl :args (@t39))
% 1.53/1.75  (step @p220 :rule cong :premises (@p219 @p218) :args ((= @t39 @t76)))
% 1.53/1.75  (step @p221 :rule symm :premises (@p220))
% 1.53/1.75  (step @p222 :rule eq_resolve :premises (@p219 @p221))
% 1.53/1.75  (step @p223 :rule cong :premises (@p222) :args (@t195))
% 1.53/1.75  (step @p224 :rule refl :args (@t78))
% 1.53/1.75  (step @p225 :rule refl :args (@t40))
% 1.53/1.75  (step @p226 :rule cong :premises (@p225 @p224) :args ((= @t40 @t78)))
% 1.53/1.75  (step @p227 :rule symm :premises (@p226))
% 1.53/1.75  (step @p228 :rule eq_resolve :premises (@p225 @p227))
% 1.53/1.75  (step @p229 :rule cong :premises (@p228) :args (@t196))
% 1.53/1.75  (step @p230 :rule nary_cong :premises (@p229 @p223 @p217) :args (@t197))
% 1.53/1.75  (step @p231 :rule cong :premises (@p230) :args ((forall @t42 @t197)))
% 1.53/1.75  (step @p232 :rule aci_norm :args ((= (or @t196 (or @t195 @t75)) @t197)))
% 1.53/1.75  (step @p233 :rule bool-and-de-morgan :args (@t39 @t74 true))
% 1.53/1.75  (step @p234 :rule refl :args (@t196))
% 1.53/1.75  (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t196 (not (and @t39 @t74)))))
% 1.53/1.75  (step @p236 :rule bool-and-de-morgan :args (@t40 @t39 (and @t74)))
% 1.53/1.75  (step @p237 :rule trans :premises (@p236 @p235))
% 1.53/1.75  (step @p238 :rule trans :premises (@p237 @p232))
% 1.53/1.75  (step @p239 :rule cong :premises (@p238) :args (@t199))
% 1.53/1.75  (step @p240 :rule trans :premises (@p239 @p231))
% 1.53/1.75  (step @p241 :rule cong :premises (@p240) :args (@t200))
% 1.53/1.75  (step @p242 :rule exists-elim :args ((= (exists @t42 @t198) @t200)))
% 1.53/1.75  (step @p243 :rule trans :premises (@p242 @p241))
% 1.53/1.75  (step @p244 :rule refl :args (@t70))
% 1.53/1.75  (step @p245 :rule refl :args (@t71))
% 1.53/1.75  (step @p246 :rule refl :args (@t33))
% 1.53/1.75  (step @p247 :rule cong :premises (@p246 @p245) :args ((= @t33 @t71)))
% 1.53/1.75  (step @p248 :rule symm :premises (@p247))
% 1.53/1.75  (step @p249 :rule eq_resolve :premises (@p246 @p248))
% 1.53/1.75  (step @p250 :rule cong :premises (@p249) :args (@t201))
% 1.53/1.75  (step @p251 :rule refl :args (@t73))
% 1.53/1.75  (step @p252 :rule refl :args (@t34))
% 1.53/1.75  (step @p253 :rule cong :premises (@p252 @p251) :args ((= @t34 @t73)))
% 1.53/1.75  (step @p254 :rule symm :premises (@p253))
% 1.53/1.75  (step @p255 :rule eq_resolve :premises (@p252 @p254))
% 1.53/1.75  (step @p256 :rule cong :premises (@p255) :args (@t202))
% 1.53/1.75  (step @p257 :rule nary_cong :premises (@p256 @p250 @p244) :args (@t203))
% 1.53/1.75  (step @p258 :rule cong :premises (@p257) :args ((forall @t37 @t203)))
% 1.53/1.75  (step @p259 :rule aci_norm :args ((= (or (or @t202 @t201) @t70) @t203)))
% 1.53/1.75  (step @p260 :rule bool-and-de-morgan :args (@t34 @t33 true))
% 1.53/1.75  (step @p261 :rule nary_cong :premises (@p260 @p244) :args ((or (not @t35) @t70)))
% 1.53/1.75  (step @p262 :rule trans :premises (@p261 @p259))
% 1.53/1.75  (step @p263 :rule bool-impl-elim :args (@t35 @t70))
% 1.53/1.75  (step @p264 :rule trans :premises (@p263 @p262))
% 1.53/1.75  (step @p265 :rule cong :premises (@p264) :args ((forall @t37 (=> @t35 @t70))))
% 1.53/1.75  (step @p266 :rule trans :premises (@p265 @p258))
% 1.53/1.75  (step @p267 :rule eq-symm :args (@t32 @t31))
% 1.53/1.75  (step @p268 :rule refl :args (@t35))
% 1.53/1.75  (step @p269 :rule cong :premises (@p268 @p267) :args (@t36))
% 1.53/1.75  (step @p270 :rule cong :premises (@p269) :args (@t38))
% 1.53/1.75  (step @p271 :rule trans :premises (@p270 @p266))
% 1.53/1.75  (step @p272 :rule refl :args (@t39))
% 1.53/1.75  (step @p273 :rule refl :args (@t40))
% 1.53/1.75  (step @p274 :rule nary_cong :premises (@p273 @p272 @p271) :args (@t41))
% 1.53/1.75  (step @p275 :rule cong :premises (@p274) :args (@t43))
% 1.53/1.75  (step @p276 :rule trans :premises (@p275 @p243))
% 1.53/1.75  (step @p277 :rule cong :premises (@p276) :args (@t44))
% 1.53/1.75  (step @p278 :rule refl :args (@t83))
% 1.53/1.75  (step @p279 :rule nary_cong :premises (@p229 @p278) :args (@t204))
% 1.53/1.75  (step @p280 :rule cong :premises (@p279) :args ((forall @t42 @t204)))
% 1.53/1.75  (step @p281 :rule bool-impl-elim :args (@t40 @t83))
% 1.53/1.75  (step @p282 :rule cong :premises (@p281) :args ((forall @t42 (=> @t40 @t83))))
% 1.53/1.75  (step @p283 :rule trans :premises (@p282 @p280))
% 1.53/1.75  (step @p284 :rule refl :args (@t82))
% 1.53/1.75  (step @p285 :rule refl :args (@t45))
% 1.53/1.75  (step @p286 :rule cong :premises (@p285 @p284) :args ((= @t45 @t82)))
% 1.53/1.75  (step @p287 :rule symm :premises (@p286))
% 1.53/1.75  (step @p288 :rule eq_resolve :premises (@p285 @p287))
% 1.53/1.75  (step @p289 :rule cong :premises (@p288) :args (@t205))
% 1.53/1.75  (step @p290 :rule cong :premises (@p289) :args (@t206))
% 1.53/1.75  (step @p291 :rule cong :premises (@p290) :args (@t207))
% 1.53/1.75  (step @p292 :rule exists-elim :args ((= @t47 @t207)))
% 1.53/1.75  (step @p293 :rule trans :premises (@p292 @p291))
% 1.53/1.75  (step @p294 :rule cong :premises (@p273 @p293) :args (@t48))
% 1.53/1.75  (step @p295 :rule cong :premises (@p294) :args (@t49))
% 1.53/1.75  (step @p296 :rule trans :premises (@p295 @p283))
% 1.53/1.75  (step @p297 :rule nary_cong :premises (@p296 @p277) :args (@t50))
% 1.53/1.75  (step @p298 :rule cong :premises (@p297 @p216) :args (@t51))
% 1.53/1.75  (step @p299 :rule cong :premises (@p298) :args (@t53))
% 1.53/1.75  (step @p300 :rule trans :premises (@p299 @p73))
% 1.53/1.75  (step @p301 :rule cong :premises (@p300) :args (@t54))
% 1.53/1.75  (step @p302 :rule eq_resolve :premises (@p1 @p301))
% 1.53/1.75  (step @p303 :rule skolemize :premises (@p302))
% 1.53/1.75  (step @p304 :rule bool-double-not-elim :args (@t210))
% 1.53/1.75  (step @p305 :rule refl :args (@t228))
% 1.53/1.75  (step @p306 :rule nary_cong :premises (@p305 @p304) :args ((or @t228 (not @t227))))
% 1.53/1.75  (step @p307 :rule cnf_or_neg :args (@t228 1))
% 1.53/1.75  (step @p308 :rule eq_resolve :premises (@p307 @p306))
% 1.53/1.75  (step @p309 :rule reordering :premises (@p308) :args ((or @t210 @t228)))
% 1.53/1.75  (step @p310 :rule chain_m_resolution :premises (@p309 @p303) :args (@t210 @t229 @t230))
% 1.53/1.75  (step @p311 :rule instantiate :premises (@p310) :args ((@list @t96)))
% 1.53/1.75  (step @p312 :rule refl :args (@t239))
% 1.53/1.75  (step @p313 :rule bool-double-not-elim :args (@t232))
% 1.53/1.75  (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or (not @t240) @t239)))
% 1.53/1.75  (step @p315 :rule eq-symm :args (@t233 @t32))
% 1.53/1.75  (step @p316 :rule refl :args (@t231))
% 1.53/1.75  (step @p317 :rule refl :args (@t208))
% 1.53/1.75  (step @p318 :rule nary_cong :premises (@p317 @p316 @p315) :args (@t241))
% 1.53/1.75  (step @p319 :rule cong :premises (@p318) :args (@t242))
% 1.53/1.75  (step @p320 :rule cong :premises (@p319) :args (@t243))
% 1.53/1.75  (step @p321 :rule refl :args (@t236))
% 1.53/1.75  (step @p322 :rule refl :args (@t237))
% 1.53/1.75  (step @p323 :rule nary_cong :premises (@p322 @p321 @p320) :args (@t244))
% 1.53/1.75  (step @p324 :rule cong :premises (@p323) :args (@t245))
% 1.53/1.75  (step @p325 :rule refl :args (@t240))
% 1.53/1.75  (step @p326 :rule cong :premises (@p325 @p324) :args ((=> @t240 @t245)))
% 1.53/1.75  (assume-push @p483 @t240)
% 1.53/1.75  (step @p328 :rule skolemize :premises (@p311))
% 1.53/1.75  (step-pop @p484 :rule scope :premises (@p328))
% 1.53/1.75  (step @p329 :rule process_scope :premises (@p484) :args (@t245))
% 1.53/1.75  (step @p331 :rule eq_resolve :premises (@p329 @p326))
% 1.53/1.75  (step @p332 :rule implies_elim :premises (@p331))
% 1.53/1.75  (step @p333 :rule eq_resolve :premises (@p332 @p314))
% 1.53/1.75  (step @p334 :rule chain_m_resolution :premises (@p333 @p311) :args (@t239 @t229 (@list @t232)))
% 1.53/1.75  (step @p335 :rule bool-double-not-elim :args (@t234))
% 1.53/1.75  (step @p336 :rule refl :args (@t238))
% 1.53/1.75  (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or @t238 (not @t235))))
% 1.53/1.75  (step @p338 :rule cnf_or_neg :args (@t238 2))
% 1.53/1.75  (step @p339 :rule eq_resolve :premises (@p338 @p337))
% 1.53/1.75  (step @p340 :rule reordering :premises (@p339) :args ((or @t234 @t238)))
% 1.53/1.75  (step @p341 :rule chain_m_resolution :premises (@p340 @p334) :args (@t234 @t229 (@list @t238)))
% 1.53/1.75  (step @p342 :rule instantiate :premises (@p341) :args ((@list @t101)))
% 1.53/1.75  (step @p343 :rule cnf_or_pos :args (@t247))
% 1.53/1.75  (step @p344 :rule reordering :premises (@p343) :args ((or @t107 @t103 @t246 (not @t247))))
% 1.53/1.75  (step @p345 :rule instantiate :premises (@p341) :args (@t110))
% 1.53/1.75  (step @p346 :rule cnf_or_pos :args (@t249))
% 1.53/1.75  (step @p347 :rule reordering :premises (@p346) :args ((or @t100 @t98 @t248 (not @t249))))
% 1.53/1.75  (step @p348 :rule cnf_or_pos :args (@t113))
% 1.53/1.75  (step @p349 :rule reordering :premises (@p348) :args ((or @t100 @t95 @t112 (not @t113))))
% 1.53/1.75  (step @p350 :rule bool-double-not-elim :args (@t111))
% 1.53/1.75  (step @p351 :rule refl :args (@t251))
% 1.53/1.75  (step @p352 :rule refl :args (@t105))
% 1.53/1.75  (step @p353 :rule nary_cong :premises (@p352 @p351 @p350) :args ((or @t105 @t251 (not @t112))))
% 1.53/1.75  (assume-push @p485 @t104)
% 1.53/1.75  (assume-push @p486 @t250)
% 1.53/1.75  (assume-push @p487 @t112)
% 1.53/1.75  (step @p357 :rule evaluate :args ((= false true)))
% 1.53/1.75  (step @p358 :rule true_intro :premises (@p485))
% 1.53/1.75  (step @p359 :rule refl :args (@t89))
% 1.53/1.75  (step @p360 :rule symm :premises (@p486))
% 1.53/1.75  (step @p361 :rule ho_cong :premises (@p360 @p359))
% 1.53/1.75  (step @p362 :rule false_intro :premises (@p487))
% 1.53/1.75  (step @p363 :rule symm :premises (@p362))
% 1.53/1.75  (step @p364 :rule trans :premises (@p363 @p361 @p358))
% 1.53/1.75  (step @p365 false :rule eq_resolve :premises (@p364 @p357))
% 1.53/1.75  (step-pop @p488 :rule scope :premises (@p365))
% 1.53/1.75  (step-pop @p489 :rule scope :premises (@p488))
% 1.53/1.75  (step-pop @p490 :rule scope :premises (@p489))
% 1.53/1.75  (step @p366 :rule process_scope :premises (@p490) :args (false))
% 1.53/1.75  (step @p370 :rule not_and :premises (@p366))
% 1.53/1.75  (step @p371 :rule eq_resolve :premises (@p370 @p353))
% 1.53/1.75  (assume-push @p491 @t248)
% 1.53/1.75  (assume-push @p492 @t246)
% 1.53/1.75  (assume-push @p493 @t248)
% 1.53/1.75  (assume-push @p494 @t246)
% 1.53/1.75  (step @p376 :rule symm :premises (@p491))
% 1.53/1.75  (step @p377 :rule trans :premises (@p492 @p376))
% 1.53/1.75  (step-pop @p495 :rule scope :premises (@p377))
% 1.53/1.75  (step-pop @p496 :rule scope :premises (@p495))
% 1.53/1.75  (step @p378 :rule process_scope :premises (@p496) :args (@t250))
% 1.53/1.75  (step @p381 :rule and_intro :premises (@p491 @p492))
% 1.53/1.75  (step @p382 :rule modus_ponens :premises (@p381 @p378))
% 1.53/1.75  (step-pop @p497 :rule scope :premises (@p382))
% 1.53/1.75  (step-pop @p498 :rule scope :premises (@p497))
% 1.53/1.75  (step @p383 :rule process_scope :premises (@p498) :args (@t250))
% 1.53/1.75  (step @p386 :rule implies_elim :premises (@p383))
% 1.53/1.75  (step @p387 :rule cnf_and_neg :args (@t252))
% 1.53/1.75  (step @p388 :rule resolution :premises (@p387 @p386) :args (true @t252))
% 1.53/1.75  (step @p389 :rule reordering :premises (@p388) :args ((or @t250 (not @t248) (not @t246))))
% 1.53/1.75  (step @p390 :rule chain_m_resolution :premises (@p389 @p371 @p349 @p347 @p345 @p344 @p342 @p43 @p38 @p33 @p28 @p23 @p18 @p13 @p8) :args (@t109 (@list true true false false false false false false false false false false false false) (@list @t250 @t111 @t248 @t249 @t246 @t247 @t113 @t94 @t97 @t99 @t102 @t104 @t106 @t92)))
% 1.53/1.75  (step @p391 :rule cnf_or_neg :args (@t228 2))
% 1.53/1.75  (step @p392 :rule chain_m_resolution :premises (@p391 @p303) :args ((not @t226) @t229 @t230))
% 1.53/1.75  (step @p393 :rule instantiate :premises (@p310) :args ((@list @t223)))
% 1.53/1.75  (step @p394 :rule refl :args (@t261))
% 1.53/1.75  (step @p395 :rule bool-double-not-elim :args (@t254))
% 1.53/1.75  (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or (not @t262) @t261)))
% 1.53/1.75  (step @p397 :rule eq-symm :args (@t255 @t32))
% 1.53/1.75  (step @p398 :rule refl :args (@t253))
% 1.53/1.75  (step @p399 :rule nary_cong :premises (@p317 @p398 @p397) :args (@t263))
% 1.53/1.75  (step @p400 :rule cong :premises (@p399) :args (@t264))
% 1.53/1.75  (step @p401 :rule cong :premises (@p400) :args (@t265))
% 1.53/1.75  (step @p402 :rule refl :args (@t257))
% 1.53/1.75  (step @p403 :rule refl :args (@t259))
% 1.53/1.75  (step @p404 :rule nary_cong :premises (@p403 @p402 @p401) :args (@t266))
% 1.53/1.75  (step @p405 :rule cong :premises (@p404) :args (@t267))
% 1.53/1.75  (step @p406 :rule refl :args (@t262))
% 1.53/1.75  (step @p407 :rule cong :premises (@p406 @p405) :args ((=> @t262 @t267)))
% 1.53/1.75  (assume-push @p499 @t262)
% 1.53/1.75  (step @p409 :rule skolemize :premises (@p393))
% 1.53/1.75  (step-pop @p500 :rule scope :premises (@p409))
% 1.53/1.75  (step @p410 :rule process_scope :premises (@p500) :args (@t267))
% 1.53/1.75  (step @p412 :rule eq_resolve :premises (@p410 @p407))
% 1.53/1.75  (step @p413 :rule implies_elim :premises (@p412))
% 1.53/1.75  (step @p414 :rule eq_resolve :premises (@p413 @p396))
% 1.53/1.75  (step @p415 :rule chain_m_resolution :premises (@p414 @p393) :args (@t261 @t229 (@list @t254)))
% 1.53/1.75  (step @p416 :rule bool-double-not-elim :args (@t256))
% 1.53/1.75  (step @p417 :rule refl :args (@t260))
% 1.53/1.75  (step @p418 :rule nary_cong :premises (@p417 @p416) :args ((or @t260 (not @t257))))
% 1.53/1.75  (step @p419 :rule cnf_or_neg :args (@t260 1))
% 1.53/1.75  (step @p420 :rule eq_resolve :premises (@p419 @p418))
% 1.53/1.75  (step @p421 :rule reordering :premises (@p420) :args ((or @t256 @t260)))
% 1.53/1.75  (step @p422 :rule chain_m_resolution :premises (@p421 @p415) :args (@t256 @t229 @t268))
% 1.53/1.75  (step @p423 :rule bool-double-not-elim :args (@t258))
% 1.53/1.75  (step @p424 :rule nary_cong :premises (@p417 @p423) :args ((or @t260 (not @t259))))
% 1.53/1.75  (step @p425 :rule cnf_or_neg :args (@t260 0))
% 1.53/1.75  (step @p426 :rule eq_resolve :premises (@p425 @p424))
% 1.53/1.75  (step @p427 :rule reordering :premises (@p426) :args ((or @t258 @t260)))
% 1.53/1.75  (step @p428 :rule chain_m_resolution :premises (@p427 @p415) :args (@t258 @t229 @t268))
% 1.53/1.75  (step @p429 :rule cnf_or_pos :args (@t269))
% 1.53/1.75  (step @p430 :rule reordering :premises (@p429) :args ((or @t259 @t257 @t270)))
% 1.53/1.75  (step @p431 :rule chain_m_resolution :premises (@p430 @p428 @p422) :args (@t270 (@list false false) (@list @t258 @t256)))
% 1.53/1.75  (assume-push @p501 @t224)
% 1.53/1.75  (step @p433 :rule instantiate :premises (@p501) :args ((@list @t255)))
% 1.53/1.75  (step-pop @p502 :rule scope :premises (@p433))
% 1.53/1.75  (step @p434 :rule process_scope :premises (@p502) :args (@t269))
% 1.53/1.75  (step @p436 :rule implies_elim :premises (@p434))
% 1.53/1.75  (step @p437 :rule chain_m_resolution :premises (@p436 @p431) :args (@t225 @t229 (@list @t269)))
% 1.53/1.75  (step @p438 :rule refl :args (@t271))
% 1.53/1.75  (step @p439 :rule refl :args (@t272))
% 1.53/1.75  (step @p440 :rule bool-double-not-elim :args (@t224))
% 1.53/1.75  (step @p441 :rule refl :args (@t226))
% 1.53/1.75  (step @p442 :rule nary_cong :premises (@p441 @p440 @p439 @p438) :args ((or @t226 (not @t225) @t272 @t271)))
% 1.53/1.75  (step @p443 :rule cnf_and_neg :args (@t226))
% 1.53/1.75  (step @p444 :rule eq_resolve :premises (@p443 @p442))
% 1.53/1.75  (step @p445 :rule reordering :premises (@p444) :args ((or @t224 @t226 @t272 @t271)))
% 1.53/1.75  (step @p446 :rule chain_m_resolution :premises (@p445 @p437 @p392 @p390) :args (@t272 (@list true true false) (@list @t224 @t226 @t109)))
% 1.53/1.75  (step @p447 :rule bool-double-not-elim :args (@t218))
% 1.53/1.75  (step @p448 :rule refl :args (@t222))
% 1.53/1.75  (step @p449 :rule nary_cong :premises (@p448 @p447) :args ((or @t222 (not @t219))))
% 1.53/1.75  (step @p450 :rule cnf_or_neg :args (@t222 1))
% 1.53/1.75  (step @p451 :rule eq_resolve :premises (@p450 @p449))
% 1.53/1.75  (step @p452 :rule reordering :premises (@p451) :args ((or @t218 @t222)))
% 1.53/1.75  (step @p453 :rule chain_m_resolution :premises (@p452 @p446) :args (@t218 @t229 @t273))
% 1.53/1.75  (step @p454 :rule bool-double-not-elim :args (@t220))
% 1.53/1.75  (step @p455 :rule nary_cong :premises (@p448 @p454) :args ((or @t222 (not @t221))))
% 1.53/1.75  (step @p456 :rule cnf_or_neg :args (@t222 0))
% 1.53/1.75  (step @p457 :rule eq_resolve :premises (@p456 @p455))
% 1.53/1.75  (step @p458 :rule reordering :premises (@p457) :args ((or @t220 @t222)))
% 1.53/1.75  (step @p459 :rule chain_m_resolution :premises (@p458 @p446) :args (@t220 @t229 @t273))
% 1.53/1.75  (assume-push @p503 @t220)
% 1.53/1.75  (step @p461 :rule instantiate :premises (@p503) :args ((@list @t212)))
% 1.53/1.75  (step-pop @p504 :rule scope :premises (@p461))
% 1.53/1.75  (step @p462 :rule process_scope :premises (@p504) :args (@t274))
% 1.53/1.75  (step @p464 :rule implies_elim :premises (@p462))
% 1.53/1.75  (step @p465 :rule chain_m_resolution :premises (@p464 @p459) :args (@t274 (@list false) (@list @t220)))
% 1.53/1.75  (step @p466 :rule bool-double-not-elim :args (@t216))
% 1.53/1.75  (step @p467 :rule nary_cong :premises (@p448 @p466) :args ((or @t222 (not @t217))))
% 1.53/1.75  (step @p468 :rule cnf_or_neg :args (@t222 2))
% 1.53/1.75  (step @p469 :rule eq_resolve :premises (@p468 @p467))
% 1.53/1.75  (step @p470 :rule reordering :premises (@p469) :args ((or @t216 @t222)))
% 1.53/1.75  (step @p471 :rule chain_m_resolution :premises (@p470 @p446) :args (@t216 @t229 @t273))
% 1.53/1.75  (step @p472 :rule bool-double-not-elim :args (@t213))
% 1.53/1.75  (step @p473 :rule nary_cong :premises (@p448 @p472) :args ((or @t222 (not @t214))))
% 1.53/1.75  (step @p474 :rule cnf_or_neg :args (@t222 3))
% 1.53/1.75  (step @p475 :rule eq_resolve :premises (@p474 @p473))
% 1.53/1.75  (step @p476 :rule reordering :premises (@p475) :args ((or @t213 @t222)))
% 1.53/1.75  (step @p477 :rule chain_m_resolution :premises (@p476 @p446) :args (@t213 @t229 @t273))
% 1.53/1.75  (step @p478 :rule cnf_or_pos :args (@t274))
% 1.53/1.75  (step @p479 :rule reordering :premises (@p478) :args ((or @t219 @t217 @t214 (not @t274))))
% 1.53/1.75  (step @p480 false :rule chain_m_resolution :premises (@p479 @p477 @p471 @p465 @p453) :args (false (@list false false false false) (@list @t213 @t216 @t274 @t218)))
% 1.53/1.75  )
% 1.53/1.75  % SZS output end Proof
% 1.53/1.75  % cvc5 exiting
%------------------------------------------------------------------------------