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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU905^5 : 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 : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:53:30 AM UTC 2026

% Result   : Theorem 0.37s 0.60s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU905^5 : 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
% 0.16/0.34  % Computer : n014.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 17:58:58 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TH0
% 0.37/0.60  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.37/0.60  % SZS status Theorem
% 0.37/0.60  % SZS output start Proof
% 0.37/0.60  (
% 0.37/0.60  (declare-sort tptp.g 0)
% 0.37/0.60  (declare-sort tptp.a 0)
% 0.37/0.60  (declare-sort tptp.b 0)
% 0.37/0.60  (define @t1 () (@var "Xy" tptp.b))
% 0.37/0.60  (define @t2 () (@var "Xh2" (-> tptp.b tptp.a)))
% 0.37/0.60  (define @t3 () (_ @t2 @t1))
% 0.37/0.60  (define @t4 () (@var "Xx" tptp.b))
% 0.37/0.60  (define @t5 () (_ @t2 @t4))
% 0.37/0.60  (define @t6 () (@var "Xf3" (-> tptp.a tptp.a tptp.a)))
% 0.37/0.60  (define @t7 () (_ (_ @t6 @t5) @t3))
% 0.37/0.60  (define @t8 () (@var "Xf2" (-> tptp.b tptp.b tptp.b)))
% 0.37/0.60  (define @t9 () (_ (_ @t8 @t4) @t1))
% 0.37/0.60  (define @t10 () (_ @t2 @t9))
% 0.37/0.60  (define @t11 () (= @t10 @t7))
% 0.37/0.60  (define @t12 () (@var "Xs2" (-> tptp.b Bool)))
% 0.37/0.60  (define @t13 () (_ @t12 @t1))
% 0.37/0.60  (define @t14 () (_ @t12 @t4))
% 0.37/0.60  (define @t15 () (and @t14 @t13))
% 0.37/0.60  (define @t16 () (@list @t4 @t1))
% 0.37/0.60  (define @t17 () (forall @t16 (=> @t15 @t11)))
% 0.37/0.60  (define @t18 () (@var "Xs3" (-> tptp.a Bool)))
% 0.37/0.60  (define @t19 () (_ @t18 @t5))
% 0.37/0.60  (define @t20 () (@list @t4))
% 0.37/0.60  (define @t21 () (forall @t20 (=> @t14 @t19)))
% 0.37/0.60  (define @t22 () (@var "Xy" tptp.a))
% 0.37/0.60  (define @t23 () (@var "Xx" tptp.a))
% 0.37/0.60  (define @t24 () (_ (_ @t6 @t23) @t22))
% 0.37/0.60  (define @t25 () (_ @t18 @t24))
% 0.37/0.60  (define @t26 () (_ @t18 @t22))
% 0.37/0.60  (define @t27 () (_ @t18 @t23))
% 0.37/0.60  (define @t28 () (and @t27 @t26))
% 0.37/0.60  (define @t29 () (@list @t23 @t22))
% 0.37/0.60  (define @t30 () (forall @t29 (=> @t28 @t25)))
% 0.37/0.60  (define @t31 () (_ @t12 @t9))
% 0.37/0.60  (define @t32 () (forall @t16 (=> @t15 @t31)))
% 0.37/0.60  (define @t33 () (@var "Xy" tptp.g))
% 0.37/0.60  (define @t34 () (@var "Xh1" (-> tptp.g tptp.b)))
% 0.37/0.60  (define @t35 () (_ @t34 @t33))
% 0.37/0.60  (define @t36 () (@var "Xx" tptp.g))
% 0.37/0.60  (define @t37 () (_ @t34 @t36))
% 0.37/0.60  (define @t38 () (_ (_ @t8 @t37) @t35))
% 0.37/0.60  (define @t39 () (@var "Xf1" (-> tptp.g tptp.g tptp.g)))
% 0.37/0.60  (define @t40 () (_ (_ @t39 @t36) @t33))
% 0.37/0.60  (define @t41 () (_ @t34 @t40))
% 0.37/0.60  (define @t42 () (= @t41 @t38))
% 0.37/0.60  (define @t43 () (@var "Xs1" (-> tptp.g Bool)))
% 0.37/0.60  (define @t44 () (_ @t43 @t33))
% 0.37/0.60  (define @t45 () (_ @t43 @t36))
% 0.37/0.60  (define @t46 () (and @t45 @t44))
% 0.37/0.60  (define @t47 () (@list @t36 @t33))
% 0.37/0.60  (define @t48 () (forall @t47 (=> @t46 @t42)))
% 0.37/0.60  (define @t49 () (_ @t12 @t37))
% 0.37/0.60  (define @t50 () (@list @t36))
% 0.37/0.60  (define @t51 () (forall @t50 (=> @t45 @t49)))
% 0.37/0.60  (define @t52 () (_ @t43 @t40))
% 0.37/0.60  (define @t53 () (forall @t47 (=> @t46 @t52)))
% 0.37/0.60  (define @t54 () (and @t53 @t32 @t51 @t48 @t32 @t30 @t21 @t17))
% 0.37/0.60  (define @t55 () (not @t54))
% 0.37/0.60  (define @t56 () (_ @t2 @t35))
% 0.37/0.60  (define @t57 () (_ @t2 @t37))
% 0.37/0.60  (define @t58 () (_ (_ @t6 @t57) @t56))
% 0.37/0.60  (define @t59 () (_ @t2 @t41))
% 0.37/0.60  (define @t60 () (= @t59 @t58))
% 0.37/0.60  (define @t61 () (forall @t47 (=> @t46 @t60)))
% 0.37/0.60  (define @t62 () (_ @t18 @t57))
% 0.37/0.60  (define @t63 () (forall @t50 (=> @t45 @t62)))
% 0.37/0.60  (define @t64 () (and @t53 @t30 @t63 @t61))
% 0.37/0.60  (define @t65 () (not @t64))
% 0.37/0.60  (define @t66 () (=> @t65 @t55))
% 0.37/0.60  (define @t67 () (@list @t34 @t2 @t43 @t39 @t12 @t8 @t18 @t6))
% 0.37/0.60  (define @t68 () (forall @t67 @t66))
% 0.37/0.60  (define @t69 () (not @t68))
% 0.37/0.60  (define @t70 () (_ @t2 @t1))
% 0.37/0.60  (define @t71 () (_ @t2 @t4))
% 0.37/0.60  (define @t72 () (_ @t6 @t71 @t70))
% 0.37/0.60  (define @t73 () (_ @t8 @t4 @t1))
% 0.37/0.60  (define @t74 () (_ @t2 @t73))
% 0.37/0.60  (define @t75 () (_ @t12 @t1))
% 0.37/0.60  (define @t76 () (not @t75))
% 0.37/0.60  (define @t77 () (_ @t12 @t4))
% 0.37/0.60  (define @t78 () (not @t77))
% 0.37/0.60  (define @t79 () (forall @t16 (or @t78 @t76 (= @t74 @t72))))
% 0.37/0.60  (define @t80 () (not @t79))
% 0.37/0.60  (define @t81 () (_ @t18 @t71))
% 0.37/0.60  (define @t82 () (forall @t20 (or @t78 @t81)))
% 0.37/0.60  (define @t83 () (not @t82))
% 0.37/0.60  (define @t84 () (_ @t6 @t23 @t22))
% 0.37/0.60  (define @t85 () (_ @t18 @t84))
% 0.37/0.60  (define @t86 () (_ @t18 @t22))
% 0.37/0.60  (define @t87 () (_ @t18 @t23))
% 0.37/0.60  (define @t88 () (forall @t29 (or (not @t87) (not @t86) @t85)))
% 0.37/0.60  (define @t89 () (not @t88))
% 0.37/0.60  (define @t90 () (_ @t34 @t33))
% 0.37/0.60  (define @t91 () (_ @t34 @t36))
% 0.37/0.60  (define @t92 () (_ @t8 @t91 @t90))
% 0.37/0.60  (define @t93 () (_ @t39 @t36 @t33))
% 0.37/0.60  (define @t94 () (_ @t34 @t93))
% 0.37/0.60  (define @t95 () (_ @t43 @t33))
% 0.37/0.60  (define @t96 () (not @t95))
% 0.37/0.60  (define @t97 () (_ @t43 @t36))
% 0.37/0.60  (define @t98 () (not @t97))
% 0.37/0.60  (define @t99 () (forall @t47 (or @t98 @t96 (= @t94 @t92))))
% 0.37/0.60  (define @t100 () (not @t99))
% 0.37/0.60  (define @t101 () (_ @t12 @t91))
% 0.37/0.60  (define @t102 () (forall @t50 (or @t98 @t101)))
% 0.37/0.60  (define @t103 () (not @t102))
% 0.37/0.60  (define @t104 () (_ @t12 @t73))
% 0.37/0.60  (define @t105 () (forall @t16 (or @t78 @t76 @t104)))
% 0.37/0.60  (define @t106 () (not @t105))
% 0.37/0.60  (define @t107 () (_ @t43 @t93))
% 0.37/0.60  (define @t108 () (forall @t47 (or @t98 @t96 @t107)))
% 0.37/0.60  (define @t109 () (not @t108))
% 0.37/0.60  (define @t110 () (@var "BOUND_VARIABLE_7653" tptp.g))
% 0.37/0.60  (define @t111 () (@var "BOUND_VARIABLE_7651" tptp.g))
% 0.37/0.60  (define @t112 () (or (not (_ @t43 @t111)) (not (_ @t43 @t110)) (= (_ @t2 (_ @t34 (_ @t39 @t111 @t110))) (_ @t6 (_ @t2 (_ @t34 @t111)) (_ @t2 (_ @t34 @t110))))))
% 0.37/0.60  (define @t113 () (@var "BOUND_VARIABLE_7643" tptp.g))
% 0.37/0.60  (define @t114 () (or (not (_ @t43 @t113)) (_ @t18 (_ @t2 (_ @t34 @t113)))))
% 0.37/0.60  (define @t115 () (@var "BOUND_VARIABLE_7634" tptp.a))
% 0.37/0.60  (define @t116 () (@var "BOUND_VARIABLE_7632" tptp.a))
% 0.37/0.60  (define @t117 () (or (not (_ @t18 @t116)) (not (_ @t18 @t115)) (_ @t18 (_ @t6 @t116 @t115))))
% 0.37/0.60  (define @t118 () (@var "BOUND_VARIABLE_7623" tptp.g))
% 0.37/0.60  (define @t119 () (@var "BOUND_VARIABLE_7621" tptp.g))
% 0.37/0.60  (define @t120 () (or (not (_ @t43 @t119)) (not (_ @t43 @t118)) (_ @t43 (_ @t39 @t119 @t118))))
% 0.37/0.60  (define @t121 () (and @t120 @t117 @t114 @t112))
% 0.37/0.60  (define @t122 () (or @t121 @t109 @t106 @t103 @t100 @t89 @t83 @t80))
% 0.37/0.60  (define @t123 () (forall (@list @t34 @t2 @t43 @t39 @t12 @t8 @t18 @t6 @t119 @t118 @t116 @t115 @t113 @t111 @t110) @t122))
% 0.37/0.60  (define @t124 () (@list @t119 @t118 @t116 @t115 @t113 @t111 @t110))
% 0.37/0.60  (define @t125 () (forall @t124 @t122))
% 0.37/0.60  (define @t126 () (forall (@list @t111 @t110) @t112))
% 0.37/0.60  (define @t127 () (@list @t36 @t33))
% 0.37/0.60  (define @t128 () (forall @t124 @t112))
% 0.37/0.60  (define @t129 () (forall (@list @t113) @t114))
% 0.37/0.60  (define @t130 () (forall @t124 @t114))
% 0.37/0.60  (define @t131 () (forall (@list @t116 @t115) @t117))
% 0.37/0.60  (define @t132 () (forall @t124 @t117))
% 0.37/0.60  (define @t133 () (forall (@list @t119 @t118) @t120))
% 0.37/0.60  (define @t134 () (forall @t124 @t120))
% 0.37/0.60  (define @t135 () (and @t134 @t132 @t130 @t128))
% 0.37/0.60  (define @t136 () (forall @t124 @t121))
% 0.37/0.60  (define @t137 () (or @t136 @t109 @t106 @t103 @t100 @t89 @t83 @t80))
% 0.37/0.60  (define @t138 () (_ @t2 @t90))
% 0.37/0.60  (define @t139 () (_ @t2 @t91))
% 0.37/0.60  (define @t140 () (_ @t6 @t139 @t138))
% 0.37/0.60  (define @t141 () (_ @t2 @t94))
% 0.37/0.60  (define @t142 () (_ @t18 @t139))
% 0.37/0.60  (define @t143 () (and @t108 @t88 (forall @t50 (or @t98 @t142)) (forall @t47 (or @t98 @t96 (= @t141 @t140)))))
% 0.37/0.60  (define @t144 () (or @t143 @t109 @t106 @t103 @t100 @t89 @t83 @t80))
% 0.37/0.60  (define @t145 () (or @t109 @t106 @t103 @t100 @t89 @t83 @t80))
% 0.37/0.60  (define @t146 () (or @t109 @t106 @t103 @t100 @t106 @t89 @t83 @t80))
% 0.37/0.60  (define @t147 () (not (and @t108 @t105 @t102 @t99 @t105 @t88 @t82 @t79)))
% 0.37/0.60  (define @t148 () (not @t143))
% 0.37/0.60  (define @t149 () (not @t13))
% 0.37/0.60  (define @t150 () (not @t14))
% 0.37/0.60  (define @t151 () (or @t150 @t149 @t11))
% 0.37/0.60  (define @t152 () (or @t150 @t149))
% 0.37/0.60  (define @t153 () (not @t15))
% 0.37/0.60  (define @t154 () (or @t150 @t19))
% 0.37/0.60  (define @t155 () (not @t26))
% 0.37/0.60  (define @t156 () (not @t27))
% 0.37/0.60  (define @t157 () (or @t156 @t155 @t25))
% 0.37/0.60  (define @t158 () (or @t150 @t149 @t31))
% 0.37/0.60  (define @t159 () (not @t44))
% 0.37/0.60  (define @t160 () (not @t45))
% 0.37/0.60  (define @t161 () (or @t160 @t159 @t42))
% 0.37/0.60  (define @t162 () (or @t160 @t159))
% 0.37/0.60  (define @t163 () (not @t46))
% 0.37/0.60  (define @t164 () (or @t160 @t49))
% 0.37/0.60  (define @t165 () (or @t160 @t159 @t52))
% 0.37/0.60  (define @t166 () (or @t160 @t159 @t60))
% 0.37/0.60  (define @t167 () (or @t160 @t62))
% 0.37/0.60  (define @t168 () (@quantifiers_skolemize @t123 1))
% 0.37/0.60  (define @t169 () (_ @t168 @t4))
% 0.37/0.60  (define @t170 () (@quantifiers_skolemize @t123 6))
% 0.37/0.60  (define @t171 () (@quantifiers_skolemize @t123 4))
% 0.37/0.60  (define @t172 () (not (_ @t171 @t4)))
% 0.37/0.60  (define @t173 () (forall @t20 (or @t172 (_ @t170 @t169))))
% 0.37/0.60  (define @t174 () (@quantifiers_skolemize @t123 7))
% 0.37/0.60  (define @t175 () (@quantifiers_skolemize @t123 5))
% 0.37/0.60  (define @t176 () (_ @t175 @t4 @t1))
% 0.37/0.60  (define @t177 () (not (_ @t171 @t1)))
% 0.37/0.60  (define @t178 () (forall @t16 (or @t172 @t177 (= (_ @t168 @t176) (_ @t174 @t169 (_ @t168 @t1))))))
% 0.37/0.60  (define @t179 () (not @t178))
% 0.37/0.60  (define @t180 () (not @t173))
% 0.37/0.60  (define @t181 () (forall @t29 (or (not (_ @t170 @t23)) (not (_ @t170 @t22)) (_ @t170 (_ @t174 @t23 @t22)))))
% 0.37/0.60  (define @t182 () (not @t181))
% 0.37/0.60  (define @t183 () (@quantifiers_skolemize @t123 0))
% 0.37/0.60  (define @t184 () (_ @t183 @t36))
% 0.37/0.60  (define @t185 () (@quantifiers_skolemize @t123 3))
% 0.37/0.60  (define @t186 () (_ @t185 @t36 @t33))
% 0.37/0.60  (define @t187 () (@quantifiers_skolemize @t123 2))
% 0.37/0.60  (define @t188 () (not (_ @t187 @t33)))
% 0.37/0.60  (define @t189 () (not (_ @t187 @t36)))
% 0.37/0.60  (define @t190 () (forall @t47 (or @t189 @t188 (= (_ @t183 @t186) (_ @t175 @t184 (_ @t183 @t33))))))
% 0.37/0.60  (define @t191 () (not @t190))
% 0.37/0.60  (define @t192 () (forall @t50 (or @t189 (_ @t171 @t184))))
% 0.37/0.60  (define @t193 () (not @t192))
% 0.37/0.60  (define @t194 () (forall @t47 (or @t189 @t188 (_ @t187 @t186))))
% 0.37/0.60  (define @t195 () (not @t194))
% 0.37/0.60  (define @t196 () (@quantifiers_skolemize @t123 14))
% 0.37/0.60  (define @t197 () (_ @t183 @t196))
% 0.37/0.60  (define @t198 () (@quantifiers_skolemize @t123 13))
% 0.37/0.60  (define @t199 () (_ @t183 @t198))
% 0.37/0.60  (define @t200 () (_ @t174 (_ @t168 @t199) (_ @t168 @t197)))
% 0.37/0.60  (define @t201 () (_ @t183 (_ @t185 @t198 @t196)))
% 0.37/0.60  (define @t202 () (_ @t168 @t201))
% 0.37/0.60  (define @t203 () (= @t202 @t200))
% 0.37/0.60  (define @t204 () (_ @t187 @t196))
% 0.37/0.60  (define @t205 () (not @t204))
% 0.37/0.60  (define @t206 () (_ @t187 @t198))
% 0.37/0.60  (define @t207 () (not @t206))
% 0.37/0.60  (define @t208 () (or @t207 @t205 @t203))
% 0.37/0.60  (define @t209 () (@quantifiers_skolemize @t123 12))
% 0.37/0.60  (define @t210 () (_ @t183 @t209))
% 0.37/0.60  (define @t211 () (_ @t170 (_ @t168 @t210)))
% 0.37/0.60  (define @t212 () (_ @t187 @t209))
% 0.37/0.60  (define @t213 () (not @t212))
% 0.37/0.60  (define @t214 () (or @t213 @t211))
% 0.37/0.60  (define @t215 () (@quantifiers_skolemize @t123 11))
% 0.37/0.60  (define @t216 () (@quantifiers_skolemize @t123 10))
% 0.37/0.60  (define @t217 () (or (not (_ @t170 @t216)) (not (_ @t170 @t215)) (_ @t170 (_ @t174 @t216 @t215))))
% 0.37/0.60  (define @t218 () (@quantifiers_skolemize @t123 9))
% 0.37/0.60  (define @t219 () (@quantifiers_skolemize @t123 8))
% 0.37/0.60  (define @t220 () (or (not (_ @t187 @t219)) (not (_ @t187 @t218)) (_ @t187 (_ @t185 @t219 @t218))))
% 0.37/0.60  (define @t221 () (and @t220 @t217 @t214 @t208))
% 0.37/0.60  (define @t222 () (or @t221 @t195 (not (forall @t16 (or @t172 @t177 (_ @t171 @t176)))) @t193 @t191 @t182 @t180 @t179))
% 0.37/0.60  (define @t223 () (@list true))
% 0.37/0.60  (define @t224 () (@list @t222))
% 0.37/0.60  (define @t225 () (_ @t171 @t199))
% 0.37/0.60  (define @t226 () (or @t207 @t225))
% 0.37/0.60  (define @t227 () (_ @t171 @t197))
% 0.37/0.60  (define @t228 () (or @t205 @t227))
% 0.37/0.60  (define @t229 () (_ @t175 @t199 @t197))
% 0.37/0.60  (define @t230 () (= @t201 @t229))
% 0.37/0.60  (define @t231 () (or @t207 @t205 @t230))
% 0.37/0.60  (define @t232 () (_ @t168 @t229))
% 0.37/0.60  (define @t233 () (not @t227))
% 0.37/0.60  (define @t234 () (not @t225))
% 0.37/0.60  (define @t235 () (or @t234 @t233 (= @t232 @t200)))
% 0.37/0.60  (define @t236 () (= @t200 @t232))
% 0.37/0.60  (define @t237 () (or @t234 @t233 @t236))
% 0.37/0.60  (define @t238 () (and @t230 @t236))
% 0.37/0.60  (define @t239 () (@list @t214))
% 0.37/0.60  (define @t240 () (_ @t171 @t210))
% 0.37/0.60  (define @t241 () (or @t213 @t240))
% 0.37/0.60  (define @t242 () (not @t240))
% 0.37/0.60  (define @t243 () (or @t242 @t211))
% 0.37/0.60  (assume @p1 @t69)
% 0.37/0.60  (assume @p2 true)
% 0.37/0.60  (step @p3 :rule quant-merge-prenex :args ((= (forall @t67 @t125) @t123)))
% 0.37/0.60  (step @p4 :rule refl :args (@t80))
% 0.37/0.60  (step @p5 :rule refl :args (@t83))
% 0.37/0.60  (step @p6 :rule refl :args (@t89))
% 0.37/0.60  (step @p7 :rule refl :args (@t100))
% 0.37/0.60  (step @p8 :rule refl :args (@t103))
% 0.37/0.60  (step @p9 :rule refl :args (@t106))
% 0.37/0.60  (step @p10 :rule refl :args (@t109))
% 0.37/0.60  (step @p11 :rule alpha_equiv :args (@t126 (@list @t111 @t110) @t127))
% 0.37/0.60  (step @p12 :rule quant-unused-vars :args ((= @t128 @t126)))
% 0.37/0.60  (step @p13 :rule trans :premises (@p12 @p11))
% 0.37/0.60  (step @p14 :rule alpha_equiv :args (@t129 (@list @t113) (@list @t36)))
% 0.37/0.60  (step @p15 :rule quant-unused-vars :args ((= @t130 @t129)))
% 0.37/0.60  (step @p16 :rule trans :premises (@p15 @p14))
% 0.37/0.60  (step @p17 :rule alpha_equiv :args (@t131 (@list @t116 @t115) (@list @t23 @t22)))
% 0.37/0.60  (step @p18 :rule quant-unused-vars :args ((= @t132 @t131)))
% 0.37/0.60  (step @p19 :rule trans :premises (@p18 @p17))
% 0.37/0.60  (step @p20 :rule alpha_equiv :args (@t133 (@list @t119 @t118) @t127))
% 0.37/0.60  (step @p21 :rule quant-unused-vars :args ((= @t134 @t133)))
% 0.37/0.60  (step @p22 :rule trans :premises (@p21 @p20))
% 0.37/0.60  (step @p23 :rule nary_cong :premises (@p22 @p19 @p16 @p13) :args (@t135))
% 0.37/0.60  (step @p24 :rule quant-miniscope-and :args ((= @t136 @t135)))
% 0.37/0.60  (step @p25 :rule trans :premises (@p24 @p23))
% 0.37/0.60  (step @p26 :rule nary_cong :premises (@p25 @p10 @p9 @p8 @p7 @p6 @p5 @p4) :args (@t137))
% 0.37/0.60  (step @p27 :rule quant-miniscope-or :args ((= @t125 @t137)))
% 0.37/0.60  (step @p28 :rule trans :premises (@p27 @p26))
% 0.37/0.60  (step @p29 :rule symm :premises (@p28))
% 0.37/0.60  (step @p30 :rule cong :premises (@p29) :args ((forall @t67 @t144)))
% 0.37/0.60  (step @p31 :rule trans :premises (@p30 @p3))
% 0.37/0.60  (step @p32 :rule aci_norm :args ((= (or @t143 @t145) @t144)))
% 0.37/0.60  (step @p33 :rule aci_norm :args ((= @t146 @t145)))
% 0.37/0.60  (step @p34 :rule aci_norm :args ((= (or @t109 (or @t106 (or @t103 (or @t100 (or @t106 (or @t89 (or @t83 @t80))))))) @t146)))
% 0.37/0.60  (step @p35 :rule bool-and-de-morgan :args (@t82 @t79 true))
% 0.37/0.60  (step @p36 :rule nary_cong :premises (@p6 @p35) :args ((or @t89 (not (and @t82 @t79)))))
% 0.37/0.60  (step @p37 :rule bool-and-de-morgan :args (@t88 @t82 (and @t79)))
% 0.37/0.60  (step @p38 :rule trans :premises (@p37 @p36))
% 0.37/0.60  (step @p39 :rule nary_cong :premises (@p9 @p38) :args ((or @t106 (not (and @t88 @t82 @t79)))))
% 0.37/0.60  (step @p40 :rule bool-and-de-morgan :args (@t105 @t88 (and @t82 @t79)))
% 0.37/0.60  (step @p41 :rule trans :premises (@p40 @p39))
% 0.37/0.60  (step @p42 :rule nary_cong :premises (@p7 @p41) :args ((or @t100 (not (and @t105 @t88 @t82 @t79)))))
% 0.37/0.60  (step @p43 :rule bool-and-de-morgan :args (@t99 @t105 (and @t88 @t82 @t79)))
% 0.37/0.60  (step @p44 :rule trans :premises (@p43 @p42))
% 0.37/0.60  (step @p45 :rule nary_cong :premises (@p8 @p44) :args ((or @t103 (not (and @t99 @t105 @t88 @t82 @t79)))))
% 0.37/0.60  (step @p46 :rule bool-and-de-morgan :args (@t102 @t99 (and @t105 @t88 @t82 @t79)))
% 0.37/0.60  (step @p47 :rule trans :premises (@p46 @p45))
% 0.37/0.60  (step @p48 :rule nary_cong :premises (@p9 @p47) :args ((or @t106 (not (and @t102 @t99 @t105 @t88 @t82 @t79)))))
% 0.37/0.60  (step @p49 :rule bool-and-de-morgan :args (@t105 @t102 (and @t99 @t105 @t88 @t82 @t79)))
% 0.37/0.60  (step @p50 :rule trans :premises (@p49 @p48))
% 0.37/0.60  (step @p51 :rule nary_cong :premises (@p10 @p50) :args ((or @t109 (not (and @t105 @t102 @t99 @t105 @t88 @t82 @t79)))))
% 0.37/0.60  (step @p52 :rule bool-and-de-morgan :args (@t108 @t105 (and @t102 @t99 @t105 @t88 @t82 @t79)))
% 0.37/0.60  (step @p53 :rule trans :premises (@p52 @p51))
% 0.37/0.60  (step @p54 :rule trans :premises (@p53 @p34))
% 0.37/0.60  (step @p55 :rule trans :premises (@p54 @p33))
% 0.37/0.60  (step @p56 :rule refl :args (@t143))
% 0.37/0.60  (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t143 @t147)))
% 0.37/0.60  (step @p58 :rule trans :premises (@p57 @p32))
% 0.37/0.60  (step @p59 :rule refl :args (@t147))
% 0.37/0.60  (step @p60 :rule bool-double-not-elim :args (@t143))
% 0.37/0.60  (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t148) @t147)))
% 0.37/0.60  (step @p62 :rule bool-impl-elim :args (@t148 @t147))
% 0.37/0.60  (step @p63 :rule trans :premises (@p62 @p61))
% 0.37/0.60  (step @p64 :rule trans :premises (@p63 @p58))
% 0.37/0.60  (step @p65 :rule cong :premises (@p64) :args ((forall @t67 (=> @t148 @t147))))
% 0.37/0.60  (step @p66 :rule trans :premises (@p65 @p31))
% 0.37/0.60  (step @p67 :rule refl :args ((_ @t6 @t5 @t3)))
% 0.37/0.60  (step @p68 :rule refl :args (@t70))
% 0.37/0.60  (step @p69 :rule refl :args (@t71))
% 0.37/0.60  (step @p70 :rule cong :premises (@p69 @p68) :args (@t72))
% 0.37/0.60  (step @p71 :rule trans :premises (@p70 @p67))
% 0.37/0.60  (step @p72 :rule refl :args (@t6))
% 0.37/0.60  (step @p73 :rule ho_cong :premises (@p72 @p69))
% 0.37/0.60  (step @p74 :rule ho_cong :premises (@p73 @p68))
% 0.37/0.60  (step @p75 :rule cong :premises (@p74 @p71) :args ((= (_ (_ @t6 @t71) @t70) @t72)))
% 0.37/0.60  (step @p76 :rule symm :premises (@p75))
% 0.37/0.60  (step @p77 :rule refl :args (@t7))
% 0.37/0.60  (step @p78 :rule eq_resolve :premises (@p77 @p76))
% 0.37/0.60  (step @p79 :rule refl :args (@t3))
% 0.37/0.60  (step @p80 :rule cong :premises (@p79 @p68) :args ((= @t3 @t70)))
% 0.37/0.60  (step @p81 :rule symm :premises (@p80))
% 0.37/0.60  (step @p82 :rule eq_resolve :premises (@p79 @p81))
% 0.37/0.60  (step @p83 :rule refl :args (@t5))
% 0.37/0.60  (step @p84 :rule cong :premises (@p83 @p69) :args ((= @t5 @t71)))
% 0.37/0.60  (step @p85 :rule symm :premises (@p84))
% 0.37/0.60  (step @p86 :rule eq_resolve :premises (@p83 @p85))
% 0.37/0.60  (step @p87 :rule ho_cong :premises (@p72 @p86))
% 0.37/0.60  (step @p88 :rule ho_cong :premises (@p87 @p82))
% 0.37/0.60  (step @p89 :rule trans :premises (@p88 @p78))
% 0.37/0.60  (step @p90 :rule refl :args ((_ @t2 @t9)))
% 0.37/0.60  (step @p91 :rule refl :args (@t73))
% 0.37/0.60  (step @p92 :rule cong :premises (@p91) :args (@t74))
% 0.37/0.60  (step @p93 :rule trans :premises (@p92 @p90))
% 0.37/0.60  (step @p94 :rule refl :args (@t2))
% 0.37/0.60  (step @p95 :rule ho_cong :premises (@p94 @p91))
% 0.37/0.60  (step @p96 :rule cong :premises (@p95 @p93) :args ((= (_ @t2 @t73) @t74)))
% 0.37/0.60  (step @p97 :rule symm :premises (@p96))
% 0.37/0.60  (step @p98 :rule refl :args (@t10))
% 0.37/0.60  (step @p99 :rule eq_resolve :premises (@p98 @p97))
% 0.37/0.60  (step @p100 :rule refl :args (@t9))
% 0.37/0.60  (step @p101 :rule cong :premises (@p100 @p91) :args ((= @t9 @t73)))
% 0.37/0.60  (step @p102 :rule symm :premises (@p101))
% 0.37/0.60  (step @p103 :rule eq_resolve :premises (@p100 @p102))
% 0.37/0.60  (step @p104 :rule ho_cong :premises (@p94 @p103))
% 0.37/0.60  (step @p105 :rule trans :premises (@p104 @p99))
% 0.37/0.60  (step @p106 :rule cong :premises (@p105 @p89) :args (@t11))
% 0.37/0.60  (step @p107 :rule refl :args (@t75))
% 0.37/0.60  (step @p108 :rule refl :args (@t13))
% 0.37/0.60  (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t13 @t75)))
% 0.37/0.60  (step @p110 :rule symm :premises (@p109))
% 0.37/0.60  (step @p111 :rule eq_resolve :premises (@p108 @p110))
% 0.37/0.60  (step @p112 :rule cong :premises (@p111) :args (@t149))
% 0.37/0.60  (step @p113 :rule refl :args (@t77))
% 0.37/0.60  (step @p114 :rule refl :args (@t14))
% 0.37/0.60  (step @p115 :rule cong :premises (@p114 @p113) :args ((= @t14 @t77)))
% 0.37/0.60  (step @p116 :rule symm :premises (@p115))
% 0.37/0.60  (step @p117 :rule eq_resolve :premises (@p114 @p116))
% 0.37/0.60  (step @p118 :rule cong :premises (@p117) :args (@t150))
% 0.37/0.60  (step @p119 :rule nary_cong :premises (@p118 @p112 @p106) :args (@t151))
% 0.37/0.60  (step @p120 :rule cong :premises (@p119) :args ((forall @t16 @t151)))
% 0.37/0.60  (step @p121 :rule aci_norm :args ((= (or @t152 @t11) @t151)))
% 0.37/0.60  (step @p122 :rule refl :args (@t11))
% 0.37/0.60  (step @p123 :rule bool-and-de-morgan :args (@t14 @t13 true))
% 0.37/0.60  (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t153 @t11)))
% 0.37/0.60  (step @p125 :rule trans :premises (@p124 @p121))
% 0.37/0.60  (step @p126 :rule bool-impl-elim :args (@t15 @t11))
% 0.37/0.60  (step @p127 :rule trans :premises (@p126 @p125))
% 0.37/0.60  (step @p128 :rule cong :premises (@p127) :args (@t17))
% 0.37/0.60  (step @p129 :rule trans :premises (@p128 @p120))
% 0.37/0.60  (step @p130 :rule refl :args ((_ @t18 @t5)))
% 0.37/0.60  (step @p131 :rule cong :premises (@p69) :args (@t81))
% 0.37/0.60  (step @p132 :rule trans :premises (@p131 @p130))
% 0.37/0.60  (step @p133 :rule refl :args (@t18))
% 0.37/0.60  (step @p134 :rule ho_cong :premises (@p133 @p69))
% 0.37/0.60  (step @p135 :rule cong :premises (@p134 @p132) :args ((= (_ @t18 @t71) @t81)))
% 0.37/0.60  (step @p136 :rule symm :premises (@p135))
% 0.37/0.60  (step @p137 :rule refl :args (@t19))
% 0.37/0.60  (step @p138 :rule eq_resolve :premises (@p137 @p136))
% 0.37/0.60  (step @p139 :rule ho_cong :premises (@p133 @p86))
% 0.37/0.60  (step @p140 :rule trans :premises (@p139 @p138))
% 0.37/0.60  (step @p141 :rule nary_cong :premises (@p118 @p140) :args (@t154))
% 0.37/0.60  (step @p142 :rule cong :premises (@p141) :args ((forall @t20 @t154)))
% 0.37/0.60  (step @p143 :rule bool-impl-elim :args (@t14 @t19))
% 0.37/0.60  (step @p144 :rule cong :premises (@p143) :args (@t21))
% 0.37/0.60  (step @p145 :rule trans :premises (@p144 @p142))
% 0.37/0.60  (step @p146 :rule refl :args ((_ @t18 @t24)))
% 0.37/0.60  (step @p147 :rule refl :args (@t84))
% 0.37/0.60  (step @p148 :rule cong :premises (@p147) :args (@t85))
% 0.37/0.60  (step @p149 :rule trans :premises (@p148 @p146))
% 0.37/0.60  (step @p150 :rule ho_cong :premises (@p133 @p147))
% 0.37/0.60  (step @p151 :rule cong :premises (@p150 @p149) :args ((= (_ @t18 @t84) @t85)))
% 0.37/0.60  (step @p152 :rule symm :premises (@p151))
% 0.37/0.60  (step @p153 :rule refl :args (@t25))
% 0.37/0.60  (step @p154 :rule eq_resolve :premises (@p153 @p152))
% 0.37/0.60  (step @p155 :rule refl :args (@t24))
% 0.37/0.60  (step @p156 :rule cong :premises (@p155 @p147) :args ((= @t24 @t84)))
% 0.37/0.60  (step @p157 :rule symm :premises (@p156))
% 0.37/0.60  (step @p158 :rule eq_resolve :premises (@p155 @p157))
% 0.37/0.60  (step @p159 :rule ho_cong :premises (@p133 @p158))
% 0.37/0.60  (step @p160 :rule trans :premises (@p159 @p154))
% 0.37/0.60  (step @p161 :rule refl :args (@t86))
% 0.37/0.60  (step @p162 :rule refl :args (@t26))
% 0.37/0.60  (step @p163 :rule cong :premises (@p162 @p161) :args ((= @t26 @t86)))
% 0.37/0.60  (step @p164 :rule symm :premises (@p163))
% 0.37/0.60  (step @p165 :rule eq_resolve :premises (@p162 @p164))
% 0.37/0.60  (step @p166 :rule cong :premises (@p165) :args (@t155))
% 0.37/0.60  (step @p167 :rule refl :args (@t87))
% 0.37/0.60  (step @p168 :rule refl :args (@t27))
% 0.37/0.60  (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t27 @t87)))
% 0.37/0.60  (step @p170 :rule symm :premises (@p169))
% 0.37/0.60  (step @p171 :rule eq_resolve :premises (@p168 @p170))
% 0.37/0.60  (step @p172 :rule cong :premises (@p171) :args (@t156))
% 0.37/0.60  (step @p173 :rule nary_cong :premises (@p172 @p166 @p160) :args (@t157))
% 0.37/0.60  (step @p174 :rule cong :premises (@p173) :args ((forall @t29 @t157)))
% 0.37/0.60  (step @p175 :rule aci_norm :args ((= (or (or @t156 @t155) @t25) @t157)))
% 0.37/0.60  (step @p176 :rule bool-and-de-morgan :args (@t27 @t26 true))
% 0.37/0.60  (step @p177 :rule nary_cong :premises (@p176 @p153) :args ((or (not @t28) @t25)))
% 0.37/0.60  (step @p178 :rule trans :premises (@p177 @p175))
% 0.37/0.60  (step @p179 :rule bool-impl-elim :args (@t28 @t25))
% 0.37/0.60  (step @p180 :rule trans :premises (@p179 @p178))
% 0.37/0.60  (step @p181 :rule cong :premises (@p180) :args (@t30))
% 0.37/0.60  (step @p182 :rule trans :premises (@p181 @p174))
% 0.37/0.60  (step @p183 :rule refl :args ((_ @t12 @t9)))
% 0.37/0.60  (step @p184 :rule cong :premises (@p91) :args (@t104))
% 0.37/0.60  (step @p185 :rule trans :premises (@p184 @p183))
% 0.37/0.60  (step @p186 :rule refl :args (@t12))
% 0.37/0.60  (step @p187 :rule ho_cong :premises (@p186 @p91))
% 0.37/0.60  (step @p188 :rule cong :premises (@p187 @p185) :args ((= (_ @t12 @t73) @t104)))
% 0.37/0.60  (step @p189 :rule symm :premises (@p188))
% 0.37/0.60  (step @p190 :rule refl :args (@t31))
% 0.37/0.60  (step @p191 :rule eq_resolve :premises (@p190 @p189))
% 0.37/0.60  (step @p192 :rule ho_cong :premises (@p186 @p103))
% 0.37/0.60  (step @p193 :rule trans :premises (@p192 @p191))
% 0.37/0.60  (step @p194 :rule nary_cong :premises (@p118 @p112 @p193) :args (@t158))
% 0.37/0.60  (step @p195 :rule cong :premises (@p194) :args ((forall @t16 @t158)))
% 0.37/0.60  (step @p196 :rule aci_norm :args ((= (or @t152 @t31) @t158)))
% 0.37/0.60  (step @p197 :rule nary_cong :premises (@p123 @p190) :args ((or @t153 @t31)))
% 0.37/0.60  (step @p198 :rule trans :premises (@p197 @p196))
% 0.37/0.60  (step @p199 :rule bool-impl-elim :args (@t15 @t31))
% 0.37/0.60  (step @p200 :rule trans :premises (@p199 @p198))
% 0.37/0.60  (step @p201 :rule cong :premises (@p200) :args (@t32))
% 0.37/0.60  (step @p202 :rule trans :premises (@p201 @p195))
% 0.37/0.60  (step @p203 :rule refl :args ((_ @t8 @t37 @t35)))
% 0.37/0.60  (step @p204 :rule refl :args (@t90))
% 0.37/0.60  (step @p205 :rule refl :args (@t91))
% 0.37/0.60  (step @p206 :rule cong :premises (@p205 @p204) :args (@t92))
% 0.37/0.60  (step @p207 :rule trans :premises (@p206 @p203))
% 0.37/0.60  (step @p208 :rule refl :args (@t8))
% 0.37/0.60  (step @p209 :rule ho_cong :premises (@p208 @p205))
% 0.37/0.60  (step @p210 :rule ho_cong :premises (@p209 @p204))
% 0.37/0.60  (step @p211 :rule cong :premises (@p210 @p207) :args ((= (_ (_ @t8 @t91) @t90) @t92)))
% 0.37/0.60  (step @p212 :rule symm :premises (@p211))
% 0.37/0.60  (step @p213 :rule refl :args (@t38))
% 0.37/0.60  (step @p214 :rule eq_resolve :premises (@p213 @p212))
% 0.37/0.60  (step @p215 :rule refl :args (@t35))
% 0.37/0.60  (step @p216 :rule cong :premises (@p215 @p204) :args ((= @t35 @t90)))
% 0.37/0.60  (step @p217 :rule symm :premises (@p216))
% 0.37/0.60  (step @p218 :rule eq_resolve :premises (@p215 @p217))
% 0.37/0.60  (step @p219 :rule refl :args (@t37))
% 0.37/0.60  (step @p220 :rule cong :premises (@p219 @p205) :args ((= @t37 @t91)))
% 0.37/0.60  (step @p221 :rule symm :premises (@p220))
% 0.37/0.60  (step @p222 :rule eq_resolve :premises (@p219 @p221))
% 0.37/0.60  (step @p223 :rule ho_cong :premises (@p208 @p222))
% 0.37/0.60  (step @p224 :rule ho_cong :premises (@p223 @p218))
% 0.37/0.60  (step @p225 :rule trans :premises (@p224 @p214))
% 0.37/0.60  (step @p226 :rule refl :args ((_ @t34 @t40)))
% 0.37/0.60  (step @p227 :rule refl :args (@t93))
% 0.37/0.60  (step @p228 :rule cong :premises (@p227) :args (@t94))
% 0.37/0.60  (step @p229 :rule trans :premises (@p228 @p226))
% 0.37/0.60  (step @p230 :rule refl :args (@t34))
% 0.37/0.60  (step @p231 :rule ho_cong :premises (@p230 @p227))
% 0.37/0.60  (step @p232 :rule cong :premises (@p231 @p229) :args ((= (_ @t34 @t93) @t94)))
% 0.37/0.60  (step @p233 :rule symm :premises (@p232))
% 0.37/0.60  (step @p234 :rule refl :args (@t41))
% 0.37/0.60  (step @p235 :rule eq_resolve :premises (@p234 @p233))
% 0.37/0.60  (step @p236 :rule refl :args (@t40))
% 0.37/0.60  (step @p237 :rule cong :premises (@p236 @p227) :args ((= @t40 @t93)))
% 0.37/0.60  (step @p238 :rule symm :premises (@p237))
% 0.37/0.60  (step @p239 :rule eq_resolve :premises (@p236 @p238))
% 0.37/0.60  (step @p240 :rule ho_cong :premises (@p230 @p239))
% 0.37/0.60  (step @p241 :rule trans :premises (@p240 @p235))
% 0.37/0.60  (step @p242 :rule cong :premises (@p241 @p225) :args (@t42))
% 0.37/0.60  (step @p243 :rule refl :args (@t95))
% 0.37/0.60  (step @p244 :rule refl :args (@t44))
% 0.37/0.60  (step @p245 :rule cong :premises (@p244 @p243) :args ((= @t44 @t95)))
% 0.37/0.60  (step @p246 :rule symm :premises (@p245))
% 0.37/0.60  (step @p247 :rule eq_resolve :premises (@p244 @p246))
% 0.37/0.60  (step @p248 :rule cong :premises (@p247) :args (@t159))
% 0.37/0.60  (step @p249 :rule refl :args (@t97))
% 0.37/0.60  (step @p250 :rule refl :args (@t45))
% 0.37/0.60  (step @p251 :rule cong :premises (@p250 @p249) :args ((= @t45 @t97)))
% 0.37/0.60  (step @p252 :rule symm :premises (@p251))
% 0.37/0.60  (step @p253 :rule eq_resolve :premises (@p250 @p252))
% 0.37/0.60  (step @p254 :rule cong :premises (@p253) :args (@t160))
% 0.37/0.60  (step @p255 :rule nary_cong :premises (@p254 @p248 @p242) :args (@t161))
% 0.37/0.60  (step @p256 :rule cong :premises (@p255) :args ((forall @t47 @t161)))
% 0.37/0.60  (step @p257 :rule aci_norm :args ((= (or @t162 @t42) @t161)))
% 0.37/0.60  (step @p258 :rule refl :args (@t42))
% 0.37/0.60  (step @p259 :rule bool-and-de-morgan :args (@t45 @t44 true))
% 0.37/0.60  (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or @t163 @t42)))
% 0.37/0.60  (step @p261 :rule trans :premises (@p260 @p257))
% 0.37/0.60  (step @p262 :rule bool-impl-elim :args (@t46 @t42))
% 0.37/0.60  (step @p263 :rule trans :premises (@p262 @p261))
% 0.37/0.60  (step @p264 :rule cong :premises (@p263) :args (@t48))
% 0.37/0.60  (step @p265 :rule trans :premises (@p264 @p256))
% 0.37/0.60  (step @p266 :rule refl :args ((_ @t12 @t37)))
% 0.37/0.60  (step @p267 :rule cong :premises (@p205) :args (@t101))
% 0.37/0.60  (step @p268 :rule trans :premises (@p267 @p266))
% 0.37/0.60  (step @p269 :rule ho_cong :premises (@p186 @p205))
% 0.37/0.60  (step @p270 :rule cong :premises (@p269 @p268) :args ((= (_ @t12 @t91) @t101)))
% 0.37/0.60  (step @p271 :rule symm :premises (@p270))
% 0.37/0.60  (step @p272 :rule refl :args (@t49))
% 0.37/0.60  (step @p273 :rule eq_resolve :premises (@p272 @p271))
% 0.37/0.60  (step @p274 :rule ho_cong :premises (@p186 @p222))
% 0.37/0.60  (step @p275 :rule trans :premises (@p274 @p273))
% 0.37/0.60  (step @p276 :rule nary_cong :premises (@p254 @p275) :args (@t164))
% 0.37/0.60  (step @p277 :rule cong :premises (@p276) :args ((forall @t50 @t164)))
% 0.37/0.60  (step @p278 :rule bool-impl-elim :args (@t45 @t49))
% 0.37/0.60  (step @p279 :rule cong :premises (@p278) :args (@t51))
% 0.37/0.60  (step @p280 :rule trans :premises (@p279 @p277))
% 0.37/0.60  (step @p281 :rule refl :args ((_ @t43 @t40)))
% 0.37/0.60  (step @p282 :rule cong :premises (@p227) :args (@t107))
% 0.37/0.60  (step @p283 :rule trans :premises (@p282 @p281))
% 0.37/0.60  (step @p284 :rule refl :args (@t43))
% 0.37/0.60  (step @p285 :rule ho_cong :premises (@p284 @p227))
% 0.37/0.60  (step @p286 :rule cong :premises (@p285 @p283) :args ((= (_ @t43 @t93) @t107)))
% 0.37/0.60  (step @p287 :rule symm :premises (@p286))
% 0.37/0.60  (step @p288 :rule refl :args (@t52))
% 0.37/0.60  (step @p289 :rule eq_resolve :premises (@p288 @p287))
% 0.37/0.60  (step @p290 :rule ho_cong :premises (@p284 @p239))
% 0.37/0.60  (step @p291 :rule trans :premises (@p290 @p289))
% 0.37/0.60  (step @p292 :rule nary_cong :premises (@p254 @p248 @p291) :args (@t165))
% 0.37/0.60  (step @p293 :rule cong :premises (@p292) :args ((forall @t47 @t165)))
% 0.37/0.60  (step @p294 :rule aci_norm :args ((= (or @t162 @t52) @t165)))
% 0.37/0.60  (step @p295 :rule nary_cong :premises (@p259 @p288) :args ((or @t163 @t52)))
% 0.37/0.60  (step @p296 :rule trans :premises (@p295 @p294))
% 0.37/0.60  (step @p297 :rule bool-impl-elim :args (@t46 @t52))
% 0.37/0.60  (step @p298 :rule trans :premises (@p297 @p296))
% 0.37/0.60  (step @p299 :rule cong :premises (@p298) :args (@t53))
% 0.37/0.60  (step @p300 :rule trans :premises (@p299 @p293))
% 0.37/0.60  (step @p301 :rule nary_cong :premises (@p300 @p202 @p280 @p265 @p202 @p182 @p145 @p129) :args (@t54))
% 0.37/0.60  (step @p302 :rule cong :premises (@p301) :args (@t55))
% 0.37/0.60  (step @p303 :rule refl :args ((_ @t6 @t57 @t56)))
% 0.37/0.60  (step @p304 :rule refl :args ((_ @t2 @t35)))
% 0.37/0.60  (step @p305 :rule cong :premises (@p204) :args (@t138))
% 0.37/0.60  (step @p306 :rule trans :premises (@p305 @p304))
% 0.37/0.60  (step @p307 :rule refl :args ((_ @t2 @t37)))
% 0.37/0.60  (step @p308 :rule cong :premises (@p205) :args (@t139))
% 0.37/0.60  (step @p309 :rule trans :premises (@p308 @p307))
% 0.37/0.60  (step @p310 :rule cong :premises (@p309 @p306) :args (@t140))
% 0.37/0.60  (step @p311 :rule trans :premises (@p310 @p303))
% 0.37/0.60  (step @p312 :rule ho_cong :premises (@p72 @p309))
% 0.37/0.60  (step @p313 :rule ho_cong :premises (@p312 @p306))
% 0.37/0.60  (step @p314 :rule cong :premises (@p313 @p311) :args ((= (_ (_ @t6 @t139) @t138) @t140)))
% 0.37/0.60  (step @p315 :rule symm :premises (@p314))
% 0.37/0.60  (step @p316 :rule refl :args (@t58))
% 0.37/0.60  (step @p317 :rule eq_resolve :premises (@p316 @p315))
% 0.37/0.60  (step @p318 :rule ho_cong :premises (@p94 @p204))
% 0.37/0.60  (step @p319 :rule cong :premises (@p318 @p306) :args ((= (_ @t2 @t90) @t138)))
% 0.37/0.60  (step @p320 :rule symm :premises (@p319))
% 0.37/0.60  (step @p321 :rule refl :args (@t56))
% 0.37/0.60  (step @p322 :rule eq_resolve :premises (@p321 @p320))
% 0.37/0.60  (step @p323 :rule ho_cong :premises (@p94 @p218))
% 0.37/0.60  (step @p324 :rule trans :premises (@p323 @p322))
% 0.37/0.60  (step @p325 :rule ho_cong :premises (@p94 @p205))
% 0.37/0.60  (step @p326 :rule cong :premises (@p325 @p309) :args ((= (_ @t2 @t91) @t139)))
% 0.37/0.60  (step @p327 :rule symm :premises (@p326))
% 0.37/0.60  (step @p328 :rule refl :args (@t57))
% 0.37/0.60  (step @p329 :rule eq_resolve :premises (@p328 @p327))
% 0.37/0.60  (step @p330 :rule ho_cong :premises (@p94 @p222))
% 0.37/0.60  (step @p331 :rule trans :premises (@p330 @p329))
% 0.37/0.60  (step @p332 :rule ho_cong :premises (@p72 @p331))
% 0.37/0.60  (step @p333 :rule ho_cong :premises (@p332 @p324))
% 0.37/0.60  (step @p334 :rule trans :premises (@p333 @p317))
% 0.37/0.60  (step @p335 :rule refl :args ((_ @t2 @t41)))
% 0.37/0.60  (step @p336 :rule cong :premises (@p229) :args (@t141))
% 0.37/0.60  (step @p337 :rule trans :premises (@p336 @p335))
% 0.37/0.60  (step @p338 :rule ho_cong :premises (@p94 @p229))
% 0.37/0.60  (step @p339 :rule cong :premises (@p338 @p337) :args ((= (_ @t2 @t94) @t141)))
% 0.37/0.60  (step @p340 :rule symm :premises (@p339))
% 0.37/0.60  (step @p341 :rule refl :args (@t59))
% 0.37/0.60  (step @p342 :rule eq_resolve :premises (@p341 @p340))
% 0.37/0.60  (step @p343 :rule ho_cong :premises (@p94 @p241))
% 0.37/0.60  (step @p344 :rule trans :premises (@p343 @p342))
% 0.37/0.60  (step @p345 :rule cong :premises (@p344 @p334) :args (@t60))
% 0.37/0.60  (step @p346 :rule nary_cong :premises (@p254 @p248 @p345) :args (@t166))
% 0.37/0.60  (step @p347 :rule cong :premises (@p346) :args ((forall @t47 @t166)))
% 0.37/0.60  (step @p348 :rule aci_norm :args ((= (or @t162 @t60) @t166)))
% 0.37/0.60  (step @p349 :rule refl :args (@t60))
% 0.37/0.60  (step @p350 :rule nary_cong :premises (@p259 @p349) :args ((or @t163 @t60)))
% 0.37/0.60  (step @p351 :rule trans :premises (@p350 @p348))
% 0.37/0.60  (step @p352 :rule bool-impl-elim :args (@t46 @t60))
% 0.37/0.60  (step @p353 :rule trans :premises (@p352 @p351))
% 0.37/0.60  (step @p354 :rule cong :premises (@p353) :args (@t61))
% 0.37/0.60  (step @p355 :rule trans :premises (@p354 @p347))
% 0.37/0.60  (step @p356 :rule refl :args ((_ @t18 @t57)))
% 0.37/0.60  (step @p357 :rule cong :premises (@p309) :args (@t142))
% 0.37/0.60  (step @p358 :rule trans :premises (@p357 @p356))
% 0.37/0.60  (step @p359 :rule ho_cong :premises (@p133 @p309))
% 0.37/0.60  (step @p360 :rule cong :premises (@p359 @p358) :args ((= (_ @t18 @t139) @t142)))
% 0.37/0.60  (step @p361 :rule symm :premises (@p360))
% 0.37/0.60  (step @p362 :rule refl :args (@t62))
% 0.37/0.60  (step @p363 :rule eq_resolve :premises (@p362 @p361))
% 0.37/0.60  (step @p364 :rule ho_cong :premises (@p133 @p331))
% 0.37/0.60  (step @p365 :rule trans :premises (@p364 @p363))
% 0.37/0.60  (step @p366 :rule nary_cong :premises (@p254 @p365) :args (@t167))
% 0.37/0.60  (step @p367 :rule cong :premises (@p366) :args ((forall @t50 @t167)))
% 0.37/0.60  (step @p368 :rule bool-impl-elim :args (@t45 @t62))
% 0.37/0.60  (step @p369 :rule cong :premises (@p368) :args (@t63))
% 0.37/0.60  (step @p370 :rule trans :premises (@p369 @p367))
% 0.37/0.60  (step @p371 :rule nary_cong :premises (@p300 @p182 @p370 @p355) :args (@t64))
% 0.37/0.60  (step @p372 :rule cong :premises (@p371) :args (@t65))
% 0.37/0.60  (step @p373 :rule cong :premises (@p372 @p302) :args (@t66))
% 0.37/0.60  (step @p374 :rule cong :premises (@p373) :args (@t68))
% 0.37/0.60  (step @p375 :rule trans :premises (@p374 @p66))
% 0.37/0.60  (step @p376 :rule cong :premises (@p375) :args (@t69))
% 0.37/0.60  (step @p377 :rule eq_resolve :premises (@p1 @p376))
% 0.37/0.60  (step @p378 :rule skolemize :premises (@p377))
% 0.37/0.60  (step @p379 :rule bool-double-not-elim :args (@t173))
% 0.37/0.60  (step @p380 :rule refl :args (@t222))
% 0.37/0.60  (step @p381 :rule nary_cong :premises (@p380 @p379) :args ((or @t222 (not @t180))))
% 0.37/0.60  (step @p382 :rule cnf_or_neg :args (@t222 6))
% 0.37/0.60  (step @p383 :rule eq_resolve :premises (@p382 @p381))
% 0.37/0.60  (step @p384 :rule reordering :premises (@p383) :args ((or @t173 @t222)))
% 0.37/0.60  (step @p385 :rule chain_m_resolution :premises (@p384 @p378) :args (@t173 @t223 @t224))
% 0.37/0.60  (step @p386 :rule instantiate :premises (@p385) :args ((@list @t210)))
% 0.37/0.60  (step @p387 :rule bool-double-not-elim :args (@t206))
% 0.37/0.60  (step @p388 :rule refl :args (@t208))
% 0.37/0.60  (step @p389 :rule nary_cong :premises (@p388 @p387) :args ((or @t208 (not @t207))))
% 0.37/0.60  (step @p390 :rule cnf_or_neg :args (@t208 0))
% 0.37/0.60  (step @p391 :rule eq_resolve :premises (@p390 @p389))
% 0.37/0.60  (step @p392 :rule reordering :premises (@p391) :args ((or @t206 @t208)))
% 0.37/0.60  (step @p393 :rule bool-double-not-elim :args (@t204))
% 0.37/0.60  (step @p394 :rule nary_cong :premises (@p388 @p393) :args ((or @t208 (not @t205))))
% 0.37/0.60  (step @p395 :rule cnf_or_neg :args (@t208 1))
% 0.37/0.60  (step @p396 :rule eq_resolve :premises (@p395 @p394))
% 0.37/0.60  (step @p397 :rule reordering :premises (@p396) :args ((or @t204 @t208)))
% 0.37/0.60  (step @p398 :rule cnf_or_neg :args (@t208 2))
% 0.37/0.60  (step @p399 :rule bool-double-not-elim :args (@t192))
% 0.37/0.60  (step @p400 :rule nary_cong :premises (@p380 @p399) :args ((or @t222 (not @t193))))
% 0.37/0.60  (step @p401 :rule cnf_or_neg :args (@t222 3))
% 0.37/0.60  (step @p402 :rule eq_resolve :premises (@p401 @p400))
% 0.37/0.60  (step @p403 :rule reordering :premises (@p402) :args ((or @t192 @t222)))
% 0.37/0.60  (step @p404 :rule chain_m_resolution :premises (@p403 @p378) :args (@t192 @t223 @t224))
% 0.37/0.60  (step @p405 :rule instantiate :premises (@p404) :args ((@list @t198)))
% 0.37/0.60  (step @p406 :rule cnf_or_pos :args (@t226))
% 0.37/0.60  (step @p407 :rule reordering :premises (@p406) :args ((or @t207 @t225 (not @t226))))
% 0.37/0.60  (step @p408 :rule instantiate :premises (@p404) :args ((@list @t196)))
% 0.37/0.60  (step @p409 :rule cnf_or_pos :args (@t228))
% 0.37/0.60  (step @p410 :rule reordering :premises (@p409) :args ((or @t205 @t227 (not @t228))))
% 0.37/0.60  (step @p411 :rule bool-double-not-elim :args (@t190))
% 0.37/0.60  (step @p412 :rule nary_cong :premises (@p380 @p411) :args ((or @t222 (not @t191))))
% 0.37/0.60  (step @p413 :rule cnf_or_neg :args (@t222 4))
% 0.37/0.60  (step @p414 :rule eq_resolve :premises (@p413 @p412))
% 0.37/0.60  (step @p415 :rule reordering :premises (@p414) :args ((or @t190 @t222)))
% 0.37/0.60  (step @p416 :rule chain_m_resolution :premises (@p415 @p378) :args (@t190 @t223 @t224))
% 0.37/0.60  (step @p417 :rule instantiate :premises (@p416) :args ((@list @t198 @t196)))
% 0.37/0.60  (step @p418 :rule cnf_or_pos :args (@t231))
% 0.37/0.60  (step @p419 :rule reordering :premises (@p418) :args ((or @t207 @t205 @t230 (not @t231))))
% 0.37/0.60  (step @p420 :rule bool-double-not-elim :args (@t178))
% 0.37/0.60  (step @p421 :rule nary_cong :premises (@p380 @p420) :args ((or @t222 (not @t179))))
% 0.37/0.60  (step @p422 :rule cnf_or_neg :args (@t222 7))
% 0.37/0.60  (step @p423 :rule eq_resolve :premises (@p422 @p421))
% 0.37/0.60  (step @p424 :rule reordering :premises (@p423) :args ((or @t178 @t222)))
% 0.37/0.60  (step @p425 :rule chain_m_resolution :premises (@p424 @p378) :args (@t178 @t223 @t224))
% 0.37/0.60  (step @p426 :rule eq-symm :args (@t232 @t200))
% 0.37/0.60  (step @p427 :rule refl :args (@t233))
% 0.37/0.60  (step @p428 :rule refl :args (@t234))
% 0.37/0.60  (step @p429 :rule nary_cong :premises (@p428 @p427 @p426) :args (@t235))
% 0.37/0.60  (step @p430 :rule refl :args (@t178))
% 0.37/0.60  (step @p431 :rule cong :premises (@p430 @p429) :args ((=> @t178 @t235)))
% 0.37/0.60  (assume-push @p495 @t178)
% 0.37/0.60  (step @p433 :rule instantiate :premises (@p425) :args ((@list @t199 @t197)))
% 0.37/0.60  (step-pop @p496 :rule scope :premises (@p433))
% 0.37/0.60  (step @p434 :rule process_scope :premises (@p496) :args (@t235))
% 0.37/0.60  (step @p436 :rule eq_resolve :premises (@p434 @p431))
% 0.37/0.60  (step @p437 :rule implies_elim :premises (@p436))
% 0.37/0.60  (step @p438 :rule chain_m_resolution :premises (@p437 @p425) :args (@t237 (@list false) (@list @t178)))
% 0.37/0.60  (step @p439 :rule cnf_or_pos :args (@t237))
% 0.37/0.60  (step @p440 :rule reordering :premises (@p439) :args ((or @t234 @t233 @t236 (not @t237))))
% 0.37/0.60  (assume-push @p497 @t230)
% 0.37/0.60  (assume-push @p498 @t236)
% 0.37/0.60  (assume-push @p499 @t236)
% 0.37/0.60  (assume-push @p500 @t230)
% 0.37/0.60  (step @p445 :rule symm :premises (@p498))
% 0.37/0.60  (step @p446 :rule cong :premises (@p497) :args (@t202))
% 0.37/0.60  (step @p447 :rule trans :premises (@p446 @p445))
% 0.37/0.60  (step-pop @p501 :rule scope :premises (@p447))
% 0.37/0.60  (step-pop @p502 :rule scope :premises (@p501))
% 0.37/0.60  (step @p448 :rule process_scope :premises (@p502) :args (@t203))
% 0.37/0.60  (step @p451 :rule and_intro :premises (@p498 @p497))
% 0.37/0.60  (step @p452 :rule modus_ponens :premises (@p451 @p448))
% 0.37/0.60  (step-pop @p503 :rule scope :premises (@p452))
% 0.37/0.60  (step-pop @p504 :rule scope :premises (@p503))
% 0.37/0.60  (step @p453 :rule process_scope :premises (@p504) :args (@t203))
% 0.37/0.60  (step @p456 :rule implies_elim :premises (@p453))
% 0.37/0.60  (step @p457 :rule cnf_and_neg :args (@t238))
% 0.37/0.60  (step @p458 :rule resolution :premises (@p457 @p456) :args (true @t238))
% 0.37/0.60  (step @p459 :rule reordering :premises (@p458) :args ((or @t203 (not @t230) (not @t236))))
% 0.37/0.60  (step @p460 :rule chain_m_resolution :premises (@p459 @p440 @p438 @p419 @p417 @p410 @p408 @p407 @p405 @p398 @p397 @p392) :args (@t208 (@list false false false false false false false false true false false) (@list @t236 @t237 @t230 @t231 @t227 @t228 @t225 @t226 @t203 @t204 @t206)))
% 0.37/0.60  (step @p461 :rule bool-double-not-elim :args (@t181))
% 0.37/0.60  (step @p462 :rule nary_cong :premises (@p380 @p461) :args ((or @t222 (not @t182))))
% 0.37/0.60  (step @p463 :rule cnf_or_neg :args (@t222 5))
% 0.37/0.60  (step @p464 :rule eq_resolve :premises (@p463 @p462))
% 0.37/0.60  (step @p465 :rule reordering :premises (@p464) :args ((or @t181 @t222)))
% 0.37/0.60  (step @p466 :rule chain_m_resolution :premises (@p465 @p378) :args (@t181 @t223 @t224))
% 0.37/0.60  (step @p467 :rule instantiate :premises (@p466) :args ((@list @t216 @t215)))
% 0.37/0.60  (step @p468 :rule bool-double-not-elim :args (@t194))
% 0.37/0.60  (step @p469 :rule nary_cong :premises (@p380 @p468) :args ((or @t222 (not @t195))))
% 0.37/0.60  (step @p470 :rule cnf_or_neg :args (@t222 1))
% 0.37/0.60  (step @p471 :rule eq_resolve :premises (@p470 @p469))
% 0.37/0.60  (step @p472 :rule reordering :premises (@p471) :args ((or @t194 @t222)))
% 0.37/0.60  (step @p473 :rule chain_m_resolution :premises (@p472 @p378) :args (@t194 @t223 @t224))
% 0.37/0.60  (step @p474 :rule instantiate :premises (@p473) :args ((@list @t219 @t218)))
% 0.37/0.60  (step @p475 :rule cnf_or_neg :args (@t222 0))
% 0.37/0.60  (step @p476 :rule chain_m_resolution :premises (@p475 @p378) :args ((not @t221) @t223 @t224))
% 0.37/0.60  (step @p477 :rule cnf_and_neg :args (@t221))
% 0.37/0.60  (step @p478 :rule chain_m_resolution :premises (@p477 @p476 @p474 @p467 @p460) :args ((not @t214) (@list true false false false) (@list @t221 @t220 @t217 @t208)))
% 0.37/0.60  (step @p479 :rule cnf_or_neg :args (@t214 1))
% 0.37/0.60  (step @p480 :rule chain_m_resolution :premises (@p479 @p478) :args ((not @t211) @t223 @t239))
% 0.37/0.60  (step @p481 :rule instantiate :premises (@p404) :args ((@list @t209)))
% 0.37/0.60  (step @p482 :rule bool-double-not-elim :args (@t212))
% 0.37/0.60  (step @p483 :rule refl :args (@t214))
% 0.37/0.60  (step @p484 :rule nary_cong :premises (@p483 @p482) :args ((or @t214 (not @t213))))
% 0.37/0.60  (step @p485 :rule cnf_or_neg :args (@t214 0))
% 0.37/0.60  (step @p486 :rule eq_resolve :premises (@p485 @p484))
% 0.37/0.60  (step @p487 :rule reordering :premises (@p486) :args ((or @t212 @t214)))
% 0.37/0.60  (step @p488 :rule chain_m_resolution :premises (@p487 @p478) :args (@t212 @t223 @t239))
% 0.37/0.60  (step @p489 :rule cnf_or_pos :args (@t241))
% 0.37/0.60  (step @p490 :rule reordering :premises (@p489) :args ((or @t213 @t240 (not @t241))))
% 0.37/0.60  (step @p491 :rule chain_m_resolution :premises (@p490 @p488 @p481) :args (@t240 (@list false false) (@list @t212 @t241)))
% 0.37/0.60  (step @p492 :rule cnf_or_pos :args (@t243))
% 0.37/0.60  (step @p493 :rule reordering :premises (@p492) :args ((or @t211 @t242 (not @t243))))
% 0.37/0.60  (step @p494 false :rule chain_m_resolution :premises (@p493 @p491 @p480 @p386) :args (false (@list false true false) (@list @t240 @t211 @t243)))
% 0.37/0.60  )
% 0.37/0.60  % SZS output end Proof
% 0.37/0.60  % cvc5 exiting
%------------------------------------------------------------------------------