cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU704^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 08:52:48 AM UTC 2026

% Result   : Theorem 0.45s 0.64s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU704^2 : TPTP v9.2.1. Released v3.7.0.
% 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 : n013.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 17:47:30 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.26/0.49  %----Proving TH0
% 0.45/0.64  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.45/0.64  % SZS status Theorem
% 0.45/0.64  % SZS output start Proof
% 0.45/0.64  (
% 0.45/0.64  (declare-sort $$unsorted 0)
% 0.45/0.64  (declare-const tptp.emptyset $$unsorted)
% 0.45/0.64  (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.64  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.iftrueProp2 Bool)
% 0.45/0.64  (declare-const tptp.iftrueProp1 Bool)
% 0.45/0.64  (declare-const tptp.iffalseProp2 Bool)
% 0.45/0.64  (declare-const tptp.iffalseProp1 Bool)
% 0.45/0.64  (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted))
% 0.45/0.64  (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))))))))
% 0.45/0.64  (define @t1 () (@var "Xy" $$unsorted))
% 0.45/0.64  (define @t2 () (@var "Xz" $$unsorted))
% 0.45/0.64  (define @t3 () (@var "Xphi" Bool))
% 0.45/0.64  (define @t4 () (not @t3))
% 0.45/0.64  (define @t5 () (and @t4 (= @t2 @t1)))
% 0.45/0.64  (define @t6 () (@var "Xx" $$unsorted))
% 0.45/0.64  (define @t7 () (and @t3 (= @t2 @t6)))
% 0.45/0.64  (define @t8 () (or @t7 @t5))
% 0.45/0.64  (define @t9 () (@list @t2))
% 0.45/0.64  (define @t10 () (lambda @t9 @t8))
% 0.45/0.64  (define @t11 () (@var "A" $$unsorted))
% 0.45/0.64  (define @t12 () (_ tptp.dsetconstr @t11))
% 0.45/0.64  (define @t13 () (_ @t12 @t10))
% 0.45/0.64  (define @t14 () (_ tptp.in @t1))
% 0.45/0.64  (define @t15 () (=> @t4 (_ @t14 @t13)))
% 0.45/0.64  (define @t16 () (_ @t14 @t11))
% 0.45/0.64  (define @t17 () (=> @t16 @t15))
% 0.45/0.64  (define @t18 () (@list @t1))
% 0.45/0.64  (define @t19 () (forall @t18 @t17))
% 0.45/0.64  (define @t20 () (_ tptp.in @t6))
% 0.45/0.64  (define @t21 () (_ @t20 @t11))
% 0.45/0.64  (define @t22 () (=> @t21 @t19))
% 0.45/0.64  (define @t23 () (@list @t11 @t3 @t6))
% 0.45/0.64  (define @t24 () (forall @t23 @t22))
% 0.45/0.64  (define @t25 () (= tptp.iffalseProp1 @t24))
% 0.45/0.64  (define @t26 () (_ (_ tptp.setadjoin @t1) tptp.emptyset))
% 0.45/0.64  (define @t27 () (= @t13 @t26))
% 0.45/0.64  (define @t28 () (=> @t4 @t27))
% 0.45/0.64  (define @t29 () (=> @t16 @t28))
% 0.45/0.64  (define @t30 () (forall @t18 @t29))
% 0.45/0.64  (define @t31 () (=> @t21 @t30))
% 0.45/0.64  (define @t32 () (forall @t23 @t31))
% 0.45/0.64  (define @t33 () (= tptp.iffalseProp2 @t32))
% 0.45/0.64  (define @t34 () (=> @t3 (_ @t20 @t13)))
% 0.45/0.64  (define @t35 () (=> @t16 @t34))
% 0.45/0.64  (define @t36 () (forall @t18 @t35))
% 0.45/0.64  (define @t37 () (=> @t21 @t36))
% 0.45/0.64  (define @t38 () (forall @t23 @t37))
% 0.45/0.64  (define @t39 () (= tptp.iftrueProp1 @t38))
% 0.45/0.64  (define @t40 () (_ (_ tptp.setadjoin @t6) tptp.emptyset))
% 0.45/0.64  (define @t41 () (= @t13 @t40))
% 0.45/0.64  (define @t42 () (=> @t3 @t41))
% 0.45/0.64  (define @t43 () (=> @t16 @t42))
% 0.45/0.64  (define @t44 () (forall @t18 @t43))
% 0.45/0.64  (define @t45 () (=> @t21 @t44))
% 0.45/0.64  (define @t46 () (forall @t23 @t45))
% 0.45/0.64  (define @t47 () (= tptp.iftrueProp2 @t46))
% 0.45/0.64  (define @t48 () (=> @t16 (_ tptp.singleton @t13)))
% 0.45/0.64  (define @t49 () (forall @t18 @t48))
% 0.45/0.64  (define @t50 () (=> @t21 @t49))
% 0.45/0.64  (define @t51 () (forall @t23 @t50))
% 0.45/0.64  (define @t52 () (=> tptp.iftrueProp2 @t51))
% 0.45/0.64  (define @t53 () (=> tptp.iftrueProp1 @t52))
% 0.45/0.64  (define @t54 () (=> tptp.iffalseProp2 @t53))
% 0.45/0.64  (define @t55 () (=> tptp.iffalseProp1 @t54))
% 0.45/0.64  (define @t56 () (not @t55))
% 0.45/0.64  (define @t57 () (= @t11 @t40))
% 0.45/0.64  (define @t58 () (and @t21 @t57))
% 0.45/0.64  (define @t59 () (@list @t6))
% 0.45/0.64  (define @t60 () (exists @t59 @t58))
% 0.45/0.64  (define @t61 () (@list @t11))
% 0.45/0.64  (define @t62 () (lambda @t61 @t60))
% 0.45/0.64  (define @t63 () (@var "BOUND_VARIABLE_7830" $$unsorted))
% 0.45/0.64  (define @t64 () (= @t6 @t2))
% 0.45/0.64  (define @t65 () (and @t3 @t64))
% 0.45/0.64  (define @t66 () (tptp.dsetconstr @t11 (lambda @t9 (or @t65 (and @t4 (= @t2 @t63))))))
% 0.45/0.64  (define @t67 () (@var "BOUND_VARIABLE_7791" $$unsorted))
% 0.45/0.64  (define @t68 () (tptp.setadjoin @t67 tptp.emptyset))
% 0.45/0.64  (define @t69 () (@list @t67))
% 0.45/0.64  (define @t70 () (not (tptp.in @t63 @t11)))
% 0.45/0.64  (define @t71 () (tptp.in @t6 @t11))
% 0.45/0.64  (define @t72 () (not @t71))
% 0.45/0.64  (define @t73 () (@list @t11 @t3 @t6 @t63))
% 0.45/0.64  (define @t74 () (forall @t73 (or @t72 @t70 (not (forall @t69 (or (not (tptp.in @t67 @t66)) (not (= @t68 @t66))))))))
% 0.45/0.64  (define @t75 () (tptp.dsetconstr @t11 (lambda @t9 @t64)))
% 0.45/0.64  (define @t76 () (tptp.setadjoin @t6 tptp.emptyset))
% 0.45/0.64  (define @t77 () (= @t76 @t75))
% 0.45/0.64  (define @t78 () (@var "BOUND_VARIABLE_7742" $$unsorted))
% 0.45/0.64  (define @t79 () (not (tptp.in @t78 @t11)))
% 0.45/0.64  (define @t80 () (= @t2 @t78))
% 0.45/0.64  (define @t81 () (not true))
% 0.45/0.64  (define @t82 () (and @t81 @t80))
% 0.45/0.64  (define @t83 () (and true @t64))
% 0.45/0.64  (define @t84 () (or @t83 @t82))
% 0.45/0.64  (define @t85 () (lambda @t9 @t84))
% 0.45/0.64  (define @t86 () (tptp.dsetconstr @t11 @t85))
% 0.45/0.64  (define @t87 () (= @t76 @t86))
% 0.45/0.64  (define @t88 () (or @t72 @t81 @t79 @t87))
% 0.45/0.64  (define @t89 () (@list @t11 @t6 @t78))
% 0.45/0.64  (define @t90 () (= @t76 (tptp.dsetconstr @t11 (lambda @t9 (or @t65 (and @t4 @t80))))))
% 0.45/0.64  (define @t91 () (not (= @t3 true)))
% 0.45/0.64  (define @t92 () (@list @t3))
% 0.45/0.64  (define @t93 () (or @t4 @t72 @t4 @t79 @t90))
% 0.45/0.64  (define @t94 () (or @t72 @t4 @t79 @t90))
% 0.45/0.64  (define @t95 () (forall @t92 @t94))
% 0.45/0.64  (define @t96 () (forall @t89 @t95))
% 0.45/0.64  (define @t97 () (forall (@list @t11 @t6 @t78 @t3) @t94))
% 0.45/0.64  (define @t98 () (@list @t11 @t3 @t6 @t78))
% 0.45/0.64  (define @t99 () (and @t4 (= @t78 @t2)))
% 0.45/0.64  (define @t100 () (or @t65 @t99))
% 0.45/0.64  (define @t101 () (lambda @t9 @t100))
% 0.45/0.64  (define @t102 () (tptp.dsetconstr @t11 @t101))
% 0.45/0.64  (define @t103 () (= @t76 @t102))
% 0.45/0.64  (define @t104 () (or @t72 @t4 @t79 @t103))
% 0.45/0.64  (define @t105 () (or @t79 @t103))
% 0.45/0.64  (define @t106 () (or @t72 @t4 @t105))
% 0.45/0.64  (define @t107 () (forall @t98 @t106))
% 0.45/0.64  (define @t108 () (@list @t78))
% 0.45/0.64  (define @t109 () (forall @t108 @t106))
% 0.45/0.64  (define @t110 () (forall @t108 @t105))
% 0.45/0.64  (define @t111 () (@list @t1))
% 0.45/0.64  (define @t112 () (or @t72 @t4 @t110))
% 0.45/0.64  (define @t113 () (lambda @t9 (or @t65 (and @t4 (= @t1 @t2)))))
% 0.45/0.64  (define @t114 () (tptp.dsetconstr @t11 @t113))
% 0.45/0.64  (define @t115 () (tptp.in @t1 @t11))
% 0.45/0.64  (define @t116 () (not @t115))
% 0.45/0.64  (define @t117 () (forall @t18 (or @t116 (= @t76 @t114))))
% 0.45/0.64  (define @t118 () (not @t21))
% 0.45/0.64  (define @t119 () (or @t118 @t4 @t117))
% 0.45/0.64  (define @t120 () (or @t4 @t117))
% 0.45/0.64  (define @t121 () (_ @t12 @t113))
% 0.45/0.64  (define @t122 () (= @t40 @t121))
% 0.45/0.64  (define @t123 () (not @t16))
% 0.45/0.64  (define @t124 () (or @t123 @t122))
% 0.45/0.64  (define @t125 () (forall @t18 @t124))
% 0.45/0.64  (define @t126 () (or @t4 @t125))
% 0.45/0.64  (define @t127 () (or @t4 @t124))
% 0.45/0.64  (define @t128 () (or @t123 @t4 @t122))
% 0.45/0.64  (define @t129 () (=> @t3 @t122))
% 0.45/0.64  (define @t130 () (=> tptp.iftrueProp2 @t74))
% 0.45/0.64  (define @t131 () (tptp.in @t6 @t75))
% 0.45/0.64  (define @t132 () (@var "BOUND_VARIABLE_7679" $$unsorted))
% 0.45/0.64  (define @t133 () (not (tptp.in @t132 @t11)))
% 0.45/0.64  (define @t134 () (= @t2 @t132))
% 0.45/0.64  (define @t135 () (and @t81 @t134))
% 0.45/0.64  (define @t136 () (or @t83 @t135))
% 0.45/0.64  (define @t137 () (lambda @t9 @t136))
% 0.45/0.64  (define @t138 () (tptp.dsetconstr @t11 @t137))
% 0.45/0.64  (define @t139 () (tptp.in @t6 @t138))
% 0.45/0.64  (define @t140 () (or @t72 @t81 @t133 @t139))
% 0.45/0.64  (define @t141 () (@list @t11 @t6 @t132))
% 0.45/0.64  (define @t142 () (tptp.in @t6 (tptp.dsetconstr @t11 (lambda @t9 (or @t65 (and @t4 @t134))))))
% 0.45/0.64  (define @t143 () (or @t4 @t72 @t4 @t133 @t142))
% 0.45/0.64  (define @t144 () (or @t72 @t4 @t133 @t142))
% 0.45/0.64  (define @t145 () (forall @t92 @t144))
% 0.45/0.64  (define @t146 () (forall @t141 @t145))
% 0.45/0.64  (define @t147 () (forall (@list @t11 @t6 @t132 @t3) @t144))
% 0.45/0.64  (define @t148 () (@list @t11 @t3 @t6 @t132))
% 0.45/0.64  (define @t149 () (and @t4 (= @t132 @t2)))
% 0.45/0.64  (define @t150 () (or @t65 @t149))
% 0.45/0.64  (define @t151 () (lambda @t9 @t150))
% 0.45/0.64  (define @t152 () (tptp.dsetconstr @t11 @t151))
% 0.45/0.64  (define @t153 () (tptp.in @t6 @t152))
% 0.45/0.64  (define @t154 () (or @t72 @t4 @t133 @t153))
% 0.45/0.64  (define @t155 () (or @t133 @t153))
% 0.45/0.64  (define @t156 () (or @t72 @t4 @t155))
% 0.45/0.64  (define @t157 () (forall @t148 @t156))
% 0.45/0.64  (define @t158 () (@list @t132))
% 0.45/0.64  (define @t159 () (forall @t158 @t156))
% 0.45/0.64  (define @t160 () (forall @t158 @t155))
% 0.45/0.64  (define @t161 () (or @t72 @t4 @t160))
% 0.45/0.64  (define @t162 () (tptp.in @t6 @t114))
% 0.45/0.64  (define @t163 () (forall @t18 (or @t116 @t162)))
% 0.45/0.64  (define @t164 () (or @t118 @t4 @t163))
% 0.45/0.64  (define @t165 () (or @t4 @t163))
% 0.45/0.64  (define @t166 () (_ @t20 @t121))
% 0.45/0.64  (define @t167 () (or @t123 @t166))
% 0.45/0.64  (define @t168 () (forall @t18 @t167))
% 0.45/0.64  (define @t169 () (or @t4 @t168))
% 0.45/0.64  (define @t170 () (or @t4 @t167))
% 0.45/0.64  (define @t171 () (or @t123 @t4 @t166))
% 0.45/0.64  (define @t172 () (=> @t3 @t166))
% 0.45/0.64  (define @t173 () (=> tptp.iftrueProp1 @t130))
% 0.45/0.64  (define @t174 () (@var "BOUND_VARIABLE_7615" $$unsorted))
% 0.45/0.64  (define @t175 () (= @t2 @t174))
% 0.45/0.64  (define @t176 () (not false))
% 0.45/0.64  (define @t177 () (and @t176 @t175))
% 0.45/0.64  (define @t178 () (and false @t64))
% 0.45/0.64  (define @t179 () (or @t178 @t177))
% 0.45/0.64  (define @t180 () (lambda @t9 @t179))
% 0.45/0.64  (define @t181 () (tptp.dsetconstr @t11 @t180))
% 0.45/0.64  (define @t182 () (tptp.setadjoin @t174 tptp.emptyset))
% 0.45/0.64  (define @t183 () (= @t182 @t181))
% 0.45/0.64  (define @t184 () (not (tptp.in @t174 @t11)))
% 0.45/0.64  (define @t185 () (or @t72 @t184 @t183))
% 0.45/0.64  (define @t186 () (or @t72 false @t184 @t183))
% 0.45/0.64  (define @t187 () (@list @t11 @t6 @t174))
% 0.45/0.64  (define @t188 () (tptp.dsetconstr @t11 (lambda @t9 (or @t65 (and @t4 @t175)))))
% 0.45/0.64  (define @t189 () (= @t182 @t188))
% 0.45/0.64  (define @t190 () (not (= @t3 false)))
% 0.45/0.64  (define @t191 () (not @t4))
% 0.45/0.64  (define @t192 () (or @t3 @t72 @t3 @t184 @t189))
% 0.45/0.64  (define @t193 () (or @t72 @t3 @t184 @t189))
% 0.45/0.64  (define @t194 () (forall @t92 @t193))
% 0.45/0.64  (define @t195 () (forall @t187 @t194))
% 0.45/0.64  (define @t196 () (forall (@list @t11 @t6 @t174 @t3) @t193))
% 0.45/0.64  (define @t197 () (@list @t11 @t3 @t6 @t174))
% 0.45/0.64  (define @t198 () (and @t4 (= @t174 @t2)))
% 0.45/0.64  (define @t199 () (or @t65 @t198))
% 0.45/0.64  (define @t200 () (lambda @t9 @t199))
% 0.45/0.64  (define @t201 () (tptp.dsetconstr @t11 @t200))
% 0.45/0.64  (define @t202 () (= @t201 @t182))
% 0.45/0.64  (define @t203 () (or @t72 @t3 @t184 @t202))
% 0.45/0.64  (define @t204 () (or @t184 @t202))
% 0.45/0.64  (define @t205 () (or @t72 @t3 @t204))
% 0.45/0.64  (define @t206 () (forall @t197 @t205))
% 0.45/0.64  (define @t207 () (@list @t174))
% 0.45/0.64  (define @t208 () (forall @t207 @t205))
% 0.45/0.64  (define @t209 () (forall @t207 @t204))
% 0.45/0.64  (define @t210 () (or @t72 @t3 @t209))
% 0.45/0.64  (define @t211 () (tptp.setadjoin @t1 tptp.emptyset))
% 0.45/0.64  (define @t212 () (forall @t18 (or @t116 (= @t114 @t211))))
% 0.45/0.64  (define @t213 () (or @t118 @t3 @t212))
% 0.45/0.64  (define @t214 () (or @t3 @t212))
% 0.45/0.64  (define @t215 () (or @t116 (= @t211 @t114)))
% 0.45/0.64  (define @t216 () (= @t26 @t121))
% 0.45/0.64  (define @t217 () (or @t123 @t216))
% 0.45/0.64  (define @t218 () (forall @t18 @t217))
% 0.45/0.64  (define @t219 () (or @t3 @t218))
% 0.45/0.64  (define @t220 () (or @t3 @t217))
% 0.45/0.64  (define @t221 () (or @t123 @t3 @t216))
% 0.45/0.64  (define @t222 () (=> @t4 @t216))
% 0.45/0.64  (define @t223 () (=> tptp.iffalseProp2 @t173))
% 0.45/0.64  (define @t224 () (@var "BOUND_VARIABLE_7548" $$unsorted))
% 0.45/0.64  (define @t225 () (= @t2 @t224))
% 0.45/0.64  (define @t226 () (and @t176 @t225))
% 0.45/0.64  (define @t227 () (or @t178 @t226))
% 0.45/0.64  (define @t228 () (lambda @t9 @t227))
% 0.45/0.64  (define @t229 () (tptp.dsetconstr @t11 @t228))
% 0.45/0.64  (define @t230 () (tptp.in @t224 @t229))
% 0.45/0.64  (define @t231 () (not (tptp.in @t224 @t11)))
% 0.45/0.64  (define @t232 () (or @t72 @t231 @t230))
% 0.45/0.64  (define @t233 () (or @t72 false @t231 @t230))
% 0.45/0.64  (define @t234 () (@list @t11 @t6 @t224))
% 0.45/0.64  (define @t235 () (tptp.in @t224 (tptp.dsetconstr @t11 (lambda @t9 (or @t65 (and @t4 @t225))))))
% 0.45/0.64  (define @t236 () (or @t3 @t72 @t3 @t231 @t235))
% 0.45/0.64  (define @t237 () (or @t72 @t3 @t231 @t235))
% 0.45/0.64  (define @t238 () (forall @t92 @t237))
% 0.45/0.64  (define @t239 () (forall @t234 @t238))
% 0.45/0.64  (define @t240 () (forall (@list @t11 @t6 @t224 @t3) @t237))
% 0.45/0.64  (define @t241 () (@list @t11 @t3 @t6 @t224))
% 0.45/0.64  (define @t242 () (and @t4 (= @t224 @t2)))
% 0.45/0.64  (define @t243 () (or @t65 @t242))
% 0.45/0.64  (define @t244 () (lambda @t9 @t243))
% 0.45/0.64  (define @t245 () (tptp.dsetconstr @t11 @t244))
% 0.45/0.64  (define @t246 () (tptp.in @t224 @t245))
% 0.45/0.64  (define @t247 () (or @t72 @t3 @t231 @t246))
% 0.45/0.64  (define @t248 () (or @t231 @t246))
% 0.45/0.64  (define @t249 () (or @t72 @t3 @t248))
% 0.45/0.64  (define @t250 () (forall @t241 @t249))
% 0.45/0.64  (define @t251 () (@list @t224))
% 0.45/0.64  (define @t252 () (forall @t251 @t249))
% 0.45/0.64  (define @t253 () (forall @t251 @t248))
% 0.45/0.64  (define @t254 () (or @t72 @t3 @t253))
% 0.45/0.64  (define @t255 () (tptp.in @t1 @t114))
% 0.45/0.64  (define @t256 () (forall @t18 (or @t116 @t255)))
% 0.45/0.64  (define @t257 () (or @t118 @t3 @t256))
% 0.45/0.64  (define @t258 () (or @t3 @t256))
% 0.45/0.64  (define @t259 () (_ @t14 @t121))
% 0.45/0.64  (define @t260 () (or @t123 @t259))
% 0.45/0.64  (define @t261 () (forall @t18 @t260))
% 0.45/0.64  (define @t262 () (or @t3 @t261))
% 0.45/0.64  (define @t263 () (or @t3 @t260))
% 0.45/0.64  (define @t264 () (or @t123 @t3 @t259))
% 0.45/0.64  (define @t265 () (=> @t4 @t259))
% 0.45/0.64  (define @t266 () (=> tptp.iffalseProp1 @t223))
% 0.45/0.64  (define @t267 () (and @t4 (= @t63 @t2)))
% 0.45/0.64  (define @t268 () (or @t65 @t267))
% 0.45/0.64  (define @t269 () (lambda @t9 @t268))
% 0.45/0.64  (define @t270 () (tptp.dsetconstr @t11 @t269))
% 0.45/0.64  (define @t271 () (= @t270 @t68))
% 0.45/0.64  (define @t272 () (not @t271))
% 0.45/0.64  (define @t273 () (tptp.in @t67 @t270))
% 0.45/0.64  (define @t274 () (not @t273))
% 0.45/0.64  (define @t275 () (or @t274 @t272))
% 0.45/0.64  (define @t276 () (forall @t69 @t275))
% 0.45/0.64  (define @t277 () (not @t276))
% 0.45/0.64  (define @t278 () (or @t72 @t70 @t277))
% 0.45/0.64  (define @t279 () (or @t70 @t277))
% 0.45/0.64  (define @t280 () (or @t72 @t279))
% 0.45/0.64  (define @t281 () (forall @t73 @t280))
% 0.45/0.64  (define @t282 () (@list @t63))
% 0.45/0.64  (define @t283 () (forall @t282 @t280))
% 0.45/0.64  (define @t284 () (forall @t282 @t279))
% 0.45/0.64  (define @t285 () (or @t72 @t284))
% 0.45/0.64  (define @t286 () (not (forall @t69 (or (not (tptp.in @t67 @t114)) (not (= @t114 @t68))))))
% 0.45/0.64  (define @t287 () (forall @t18 (or @t116 @t286)))
% 0.45/0.64  (define @t288 () (or @t118 @t287))
% 0.45/0.64  (define @t289 () (or @t123 @t286))
% 0.45/0.64  (define @t290 () (= @t121 @t68))
% 0.45/0.64  (define @t291 () (not @t290))
% 0.45/0.64  (define @t292 () (tptp.in @t67 @t121))
% 0.45/0.64  (define @t293 () (not @t292))
% 0.45/0.64  (define @t294 () (or @t293 @t291))
% 0.45/0.64  (define @t295 () (forall @t69 @t294))
% 0.45/0.64  (define @t296 () (not @t295))
% 0.45/0.64  (define @t297 () (forall @t59 (or @t72 (not (= @t11 @t76)))))
% 0.45/0.64  (define @t298 () (not @t297))
% 0.45/0.64  (define @t299 () (lambda @t61 @t298))
% 0.45/0.64  (define @t300 () (=> @t16 (_ @t299 @t13)))
% 0.45/0.64  (define @t301 () (forall @t18 @t300))
% 0.45/0.64  (define @t302 () (=> @t21 @t301))
% 0.45/0.64  (define @t303 () (forall @t23 @t302))
% 0.45/0.64  (define @t304 () (=> tptp.iftrueProp2 @t303))
% 0.45/0.64  (define @t305 () (=> tptp.iftrueProp1 @t304))
% 0.45/0.64  (define @t306 () (=> tptp.iffalseProp2 @t305))
% 0.45/0.64  (define @t307 () (=> tptp.iffalseProp1 @t306))
% 0.45/0.64  (define @t308 () (not @t57))
% 0.45/0.64  (define @t309 () (or @t118 @t308))
% 0.45/0.64  (define @t310 () (forall @t59 (not @t58)))
% 0.45/0.64  (define @t311 () (not @t310))
% 0.45/0.64  (define @t312 () (@quantifiers_skolemize @t74 2))
% 0.45/0.64  (define @t313 () (= @t2 @t312))
% 0.45/0.64  (define @t314 () (lambda @t9 @t313))
% 0.45/0.64  (define @t315 () (@purify @t314))
% 0.45/0.64  (define @t316 () (@quantifiers_skolemize @t74 0))
% 0.45/0.64  (define @t317 () (tptp.dsetconstr @t316 @t315))
% 0.45/0.64  (define @t318 () (tptp.setadjoin @t312 tptp.emptyset))
% 0.45/0.64  (define @t319 () (tptp.dsetconstr @t316 @t314))
% 0.45/0.64  (define @t320 () (= @t319 @t318))
% 0.45/0.64  (define @t321 () (tptp.in @t312 @t316))
% 0.45/0.64  (define @t322 () (not @t321))
% 0.45/0.64  (define @t323 () (or @t322 @t322 @t320))
% 0.45/0.64  (define @t324 () (forall @t187 (or @t72 @t184 (= @t182 (tptp.dsetconstr @t11 (lambda @t9 @t175))))))
% 0.45/0.64  (define @t325 () (or @t322 @t322 (= @t318 @t319)))
% 0.45/0.64  (define @t326 () (@list @t316 @t312 @t312))
% 0.45/0.64  (define @t327 () (= @t318 @t317))
% 0.45/0.64  (define @t328 () (or @t322 @t322 @t327))
% 0.45/0.64  (define @t329 () (@list false))
% 0.45/0.64  (define @t330 () (@list @t324))
% 0.45/0.64  (define @t331 () (@quantifiers_skolemize @t74 3))
% 0.45/0.64  (define @t332 () (= @t2 @t331))
% 0.45/0.64  (define @t333 () (@quantifiers_skolemize @t74 1))
% 0.45/0.64  (define @t334 () (not @t333))
% 0.45/0.64  (define @t335 () (and @t334 @t332))
% 0.45/0.64  (define @t336 () (lambda @t9 (or (and @t333 @t313) @t335)))
% 0.45/0.64  (define @t337 () (tptp.dsetconstr @t316 @t336))
% 0.45/0.64  (define @t338 () (forall @t69 (or (not (tptp.in @t67 @t337)) (not (= @t68 @t337)))))
% 0.45/0.64  (define @t339 () (not @t338))
% 0.45/0.64  (define @t340 () (tptp.in @t331 @t316))
% 0.45/0.64  (define @t341 () (not @t340))
% 0.45/0.64  (define @t342 () (or @t322 @t341 @t339))
% 0.45/0.64  (define @t343 () (not @t342))
% 0.45/0.64  (define @t344 () (not @t74))
% 0.45/0.64  (define @t345 () (and @t333 (= @t312 @t2)))
% 0.45/0.64  (define @t346 () (or @t345 @t335))
% 0.45/0.64  (define @t347 () (lambda @t9 @t346))
% 0.45/0.64  (define @t348 () (tptp.dsetconstr @t316 @t347))
% 0.45/0.64  (define @t349 () (= @t68 @t348))
% 0.45/0.64  (define @t350 () (not @t349))
% 0.45/0.64  (define @t351 () (tptp.in @t67 @t348))
% 0.45/0.64  (define @t352 () (not @t351))
% 0.45/0.64  (define @t353 () (or @t352 @t350))
% 0.45/0.64  (define @t354 () (forall @t69 @t353))
% 0.45/0.64  (define @t355 () (not @t354))
% 0.45/0.64  (define @t356 () (or @t322 @t341 @t355))
% 0.45/0.64  (define @t357 () (not @t356))
% 0.45/0.64  (define @t358 () (@list true))
% 0.45/0.64  (define @t359 () (@list @t342))
% 0.45/0.64  (define @t360 () (@list false false))
% 0.45/0.64  (define @t361 () (@purify @t336))
% 0.45/0.64  (define @t362 () (= @t361 @t315))
% 0.45/0.64  (define @t363 () (tptp.dsetconstr @t316 @t361))
% 0.45/0.64  (define @t364 () (= @t318 @t363))
% 0.45/0.64  (define @t365 () (and @t327 @t362))
% 0.45/0.64  (define @t366 () (tptp.in @t312 @t319))
% 0.45/0.64  (define @t367 () (or @t322 @t322 @t366))
% 0.45/0.64  (define @t368 () (forall @t234 (or @t72 @t231 (tptp.in @t224 (tptp.dsetconstr @t11 (lambda @t9 @t225))))))
% 0.45/0.64  (define @t369 () (tptp.in @t312 @t317))
% 0.45/0.64  (define @t370 () (or @t322 @t322 @t369))
% 0.45/0.64  (define @t371 () (@list @t368))
% 0.45/0.64  (define @t372 () (tptp.in @t312 @t363))
% 0.45/0.64  (define @t373 () (and @t369 @t362))
% 0.45/0.64  (define @t374 () (= @t337 @t318))
% 0.45/0.64  (define @t375 () (not @t374))
% 0.45/0.64  (define @t376 () (tptp.in @t312 @t337))
% 0.45/0.64  (define @t377 () (not @t376))
% 0.45/0.64  (define @t378 () (or @t377 @t375))
% 0.45/0.64  (define @t379 () (not (= @t318 @t337)))
% 0.45/0.64  (define @t380 () (or @t377 @t379))
% 0.45/0.64  (define @t381 () (not @t364))
% 0.45/0.64  (define @t382 () (not @t372))
% 0.45/0.64  (define @t383 () (or @t382 @t381))
% 0.45/0.64  (define @t384 () (@list @t338))
% 0.45/0.64  (define @t385 () (@list false false false false false))
% 0.45/0.64  (define @t386 () (@const 0 $$unsorted))
% 0.45/0.64  (define @t387 () (and @t334 (= @t331 @t386)))
% 0.45/0.64  (define @t388 () (= @t312 @t386))
% 0.45/0.64  (define @t389 () (and @t333 @t388))
% 0.45/0.64  (define @t390 () (or @t389 @t387))
% 0.45/0.64  (define @t391 () (= @t386 @t312))
% 0.45/0.64  (define @t392 () (_ @t314 @t386))
% 0.45/0.64  (define @t393 () (_ @t315 @t386))
% 0.45/0.64  (define @t394 () (and @t334 (= @t386 @t331)))
% 0.45/0.64  (define @t395 () (and @t333 @t391))
% 0.45/0.64  (define @t396 () (or @t395 @t394))
% 0.45/0.64  (define @t397 () (_ @t336 @t386))
% 0.45/0.64  (define @t398 () (_ @t361 @t386))
% 0.45/0.64  (define @t399 () (= @t398 @t393))
% 0.45/0.64  (define @t400 () (not @t399))
% 0.45/0.64  (define @t401 () (or @t362 @t400))
% 0.45/0.64  (define @t402 () (= @t388 @t390))
% 0.45/0.64  (define @t403 () (not @t388))
% 0.45/0.64  (define @t404 () (@const 1 $$unsorted))
% 0.45/0.64  (define @t405 () (and @t333 (= @t312 @t404)))
% 0.45/0.64  (define @t406 () (not @t405))
% 0.45/0.64  (define @t407 () (lambda @t9 @t332))
% 0.45/0.64  (define @t408 () (@purify @t407))
% 0.45/0.64  (define @t409 () (tptp.dsetconstr @t316 @t408))
% 0.45/0.64  (define @t410 () (tptp.setadjoin @t331 tptp.emptyset))
% 0.45/0.64  (define @t411 () (tptp.dsetconstr @t316 @t407))
% 0.45/0.64  (define @t412 () (= @t411 @t410))
% 0.45/0.64  (define @t413 () (or @t341 @t341 @t412))
% 0.45/0.64  (define @t414 () (or @t341 @t341 (= @t410 @t411)))
% 0.45/0.64  (define @t415 () (@list @t316 @t331 @t331))
% 0.45/0.64  (define @t416 () (= @t410 @t409))
% 0.45/0.64  (define @t417 () (or @t341 @t341 @t416))
% 0.45/0.64  (define @t418 () (= @t361 @t408))
% 0.45/0.64  (define @t419 () (= @t410 @t363))
% 0.45/0.64  (define @t420 () (and @t416 @t418))
% 0.45/0.64  (define @t421 () (tptp.in @t331 @t411))
% 0.45/0.64  (define @t422 () (or @t341 @t341 @t421))
% 0.45/0.64  (define @t423 () (tptp.in @t331 @t409))
% 0.45/0.64  (define @t424 () (or @t341 @t341 @t423))
% 0.45/0.64  (define @t425 () (tptp.in @t331 @t363))
% 0.45/0.64  (define @t426 () (and @t423 @t418))
% 0.45/0.64  (define @t427 () (= @t337 @t410))
% 0.45/0.64  (define @t428 () (not @t427))
% 0.45/0.64  (define @t429 () (tptp.in @t331 @t337))
% 0.45/0.64  (define @t430 () (not @t429))
% 0.45/0.64  (define @t431 () (or @t430 @t428))
% 0.45/0.64  (define @t432 () (not (= @t410 @t337)))
% 0.45/0.64  (define @t433 () (or @t430 @t432))
% 0.45/0.64  (define @t434 () (not @t419))
% 0.45/0.64  (define @t435 () (not @t425))
% 0.45/0.64  (define @t436 () (or @t435 @t434))
% 0.45/0.64  (define @t437 () (= @t331 @t404))
% 0.45/0.64  (define @t438 () (and @t334 @t437))
% 0.45/0.64  (define @t439 () (or @t405 @t438))
% 0.45/0.64  (define @t440 () (= @t404 @t331))
% 0.45/0.64  (define @t441 () (_ @t407 @t404))
% 0.45/0.64  (define @t442 () (_ @t408 @t404))
% 0.45/0.64  (define @t443 () (and @t334 @t440))
% 0.45/0.64  (define @t444 () (and @t333 (= @t404 @t312)))
% 0.45/0.64  (define @t445 () (or @t444 @t443))
% 0.45/0.64  (define @t446 () (_ @t336 @t404))
% 0.45/0.64  (define @t447 () (_ @t361 @t404))
% 0.45/0.64  (define @t448 () (= @t447 @t442))
% 0.45/0.64  (define @t449 () (not @t448))
% 0.45/0.64  (define @t450 () (or @t418 @t449))
% 0.45/0.64  (define @t451 () (= @t437 @t439))
% 0.45/0.64  (define @t452 () (not @t437))
% 0.45/0.64  (define @t453 () (@list true true))
% 0.45/0.64  (define @t454 () (not @t438))
% 0.45/0.64  (assume @p1 @t25)
% 0.45/0.64  (assume @p2 @t33)
% 0.45/0.64  (assume @p3 @t39)
% 0.45/0.64  (assume @p4 @t47)
% 0.45/0.64  (assume @p5 @t56)
% 0.45/0.64  (assume @p6 true)
% 0.45/0.64  (step @p7 (= tptp.singleton @t62) :rule refl :args (@t62))
% 0.45/0.64  (step @p8 :rule refl :args (@t74))
% 0.45/0.64  (step @p9 :rule aci_norm :args ((= (or @t72 false @t79 @t77) (or @t72 @t79 @t77))))
% 0.45/0.64  (step @p10 :rule aci_norm :args ((= (or @t64 false) @t64)))
% 0.45/0.64  (step @p11 :rule absorb :args ((= (and false @t80) false)))
% 0.45/0.64  (step @p12 :rule refl :args (@t80))
% 0.45/0.64  (step @p13 :rule evaluate :args (@t81))
% 0.45/0.64  (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t82))
% 0.45/0.64  (step @p15 :rule trans :premises (@p14 @p11))
% 0.45/0.64  (step @p16 :rule aci_norm :args ((= @t83 @t64)))
% 0.45/0.64  (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t84))
% 0.45/0.64  (step @p18 :rule trans :premises (@p17 @p10))
% 0.45/0.64  (step @p19 :rule cong :premises (@p18) :args (@t85))
% 0.45/0.64  (step @p20 :rule refl :args (@t11))
% 0.45/0.64  (step @p21 :rule cong :premises (@p20 @p19) :args (@t86))
% 0.45/0.64  (step @p22 :rule refl :args (@t76))
% 0.45/0.64  (step @p23 :rule cong :premises (@p22 @p21) :args (@t87))
% 0.45/0.64  (step @p24 :rule refl :args (@t79))
% 0.45/0.64  (step @p25 :rule refl :args (@t72))
% 0.45/0.64  (step @p26 :rule nary_cong :premises (@p25 @p13 @p24 @p23) :args (@t88))
% 0.45/0.64  (step @p27 :rule trans :premises (@p26 @p9))
% 0.45/0.64  (step @p28 :rule cong :premises (@p27) :args ((forall @t89 @t88)))
% 0.45/0.64  (step @p29 :rule quant-var-elim-eq :args ((= (forall @t92 (or @t91 @t72 @t4 @t79 @t90)) @t88)))
% 0.45/0.64  (step @p30 :rule refl :args (@t90))
% 0.45/0.64  (step @p31 :rule refl :args (@t79))
% 0.45/0.64  (step @p32 :rule refl :args (@t4))
% 0.45/0.64  (step @p33 :rule refl :args (@t72))
% 0.45/0.64  (step @p34 :rule bool-eq-true :args (@t3))
% 0.45/0.64  (step @p35 :rule symm :premises (@p34))
% 0.45/0.64  (step @p36 :rule cong :premises (@p35) :args (@t4))
% 0.45/0.64  (step @p37 :rule nary_cong :premises (@p36 @p33 @p32 @p31 @p30) :args (@t93))
% 0.45/0.64  (step @p38 :rule aci_norm :args ((= @t94 @t93)))
% 0.45/0.64  (step @p39 :rule trans :premises (@p38 @p37))
% 0.45/0.64  (step @p40 :rule cong :premises (@p39) :args (@t95))
% 0.45/0.64  (step @p41 :rule trans :premises (@p40 @p29))
% 0.45/0.64  (step @p42 :rule cong :premises (@p41) :args (@t96))
% 0.45/0.64  (step @p43 :rule quant-merge-prenex :args ((= @t96 @t97)))
% 0.45/0.64  (step @p44 :rule symm :premises (@p43))
% 0.45/0.64  (step @p45 :rule quant_var_reordering :args ((= (forall @t98 @t94) @t97)))
% 0.45/0.64  (step @p46 :rule trans :premises (@p45 @p44 @p42))
% 0.45/0.64  (step @p47 :rule trans :premises (@p46 @p28))
% 0.45/0.64  (step @p48 :rule eq-symm :args (@t78 @t2))
% 0.45/0.64  (step @p49 :rule refl :args (@t4))
% 0.45/0.64  (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t99))
% 0.45/0.64  (step @p51 :rule refl :args (@t65))
% 0.45/0.64  (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t100))
% 0.45/0.64  (step @p53 :rule cong :premises (@p52) :args (@t101))
% 0.45/0.64  (step @p54 :rule cong :premises (@p20 @p53) :args (@t102))
% 0.45/0.64  (step @p55 :rule cong :premises (@p22 @p54) :args (@t103))
% 0.45/0.64  (step @p56 :rule nary_cong :premises (@p25 @p49 @p24 @p55) :args (@t104))
% 0.45/0.64  (step @p57 :rule aci_norm :args ((= @t106 @t104)))
% 0.45/0.64  (step @p58 :rule trans :premises (@p57 @p56))
% 0.45/0.64  (step @p59 :rule cong :premises (@p58) :args (@t107))
% 0.45/0.64  (step @p60 :rule trans :premises (@p59 @p47))
% 0.45/0.64  (step @p61 :rule quant-merge-prenex :args ((= (forall @t23 @t109) @t107)))
% 0.45/0.64  (step @p62 :rule alpha_equiv :args (@t110 (@list @t78) @t111))
% 0.45/0.64  (step @p63 :rule nary_cong :premises (@p33 @p32 @p62) :args (@t112))
% 0.45/0.64  (step @p64 :rule quant-miniscope-or :args ((= @t109 @t112)))
% 0.45/0.64  (step @p65 :rule trans :premises (@p64 @p63))
% 0.45/0.64  (step @p66 :rule symm :premises (@p65))
% 0.45/0.64  (step @p67 :rule cong :premises (@p66) :args ((forall @t23 (or @t72 @t4 @t117))))
% 0.45/0.64  (step @p68 :rule trans :premises (@p67 @p61))
% 0.45/0.64  (step @p69 :rule trans :premises (@p68 @p60))
% 0.45/0.64  (step @p70 :rule refl :args (@t117))
% 0.45/0.64  (step @p71 :rule refl :args (@t71))
% 0.45/0.64  (step @p72 :rule refl :args (@t21))
% 0.45/0.64  (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t21 @t71)))
% 0.45/0.64  (step @p74 :rule symm :premises (@p73))
% 0.45/0.64  (step @p75 :rule eq_resolve :premises (@p72 @p74))
% 0.45/0.64  (step @p76 :rule cong :premises (@p75) :args (@t118))
% 0.45/0.64  (step @p77 :rule nary_cong :premises (@p76 @p32 @p70) :args (@t119))
% 0.45/0.64  (step @p78 :rule cong :premises (@p77) :args ((forall @t23 @t119)))
% 0.45/0.64  (step @p79 :rule trans :premises (@p78 @p69))
% 0.45/0.64  (step @p80 :rule aci_norm :args ((= (or @t118 @t120) @t119)))
% 0.45/0.64  (step @p81 :rule bool-impl-elim :args (@t21 @t120))
% 0.45/0.64  (step @p82 :rule trans :premises (@p81 @p80))
% 0.45/0.64  (step @p83 :rule cong :premises (@p82) :args ((forall @t23 (=> @t21 @t120))))
% 0.45/0.64  (step @p84 :rule trans :premises (@p83 @p79))
% 0.45/0.64  (step @p85 :rule refl :args (@t114))
% 0.45/0.64  (step @p86 :rule refl :args (@t121))
% 0.45/0.64  (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t121 @t114)))
% 0.45/0.64  (step @p88 :rule symm :premises (@p87))
% 0.45/0.64  (step @p89 :rule eq_resolve :premises (@p86 @p88))
% 0.45/0.64  (step @p90 :rule refl :args (@t76))
% 0.45/0.64  (step @p91 :rule refl :args (@t40))
% 0.45/0.64  (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t40 @t76)))
% 0.45/0.64  (step @p93 :rule symm :premises (@p92))
% 0.45/0.64  (step @p94 :rule eq_resolve :premises (@p91 @p93))
% 0.45/0.64  (step @p95 :rule cong :premises (@p94 @p89) :args (@t122))
% 0.45/0.64  (step @p96 :rule refl :args (@t115))
% 0.45/0.64  (step @p97 :rule refl :args (@t16))
% 0.45/0.64  (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t16 @t115)))
% 0.45/0.64  (step @p99 :rule symm :premises (@p98))
% 0.45/0.64  (step @p100 :rule eq_resolve :premises (@p97 @p99))
% 0.45/0.64  (step @p101 :rule cong :premises (@p100) :args (@t123))
% 0.45/0.64  (step @p102 :rule nary_cong :premises (@p101 @p95) :args (@t124))
% 0.45/0.64  (step @p103 :rule cong :premises (@p102) :args (@t125))
% 0.45/0.64  (step @p104 :rule nary_cong :premises (@p49 @p103) :args (@t126))
% 0.45/0.64  (step @p105 :rule quant-miniscope-or :args ((= (forall @t18 @t127) @t126)))
% 0.45/0.64  (step @p106 :rule aci_norm :args ((= @t128 @t127)))
% 0.45/0.64  (step @p107 :rule cong :premises (@p106) :args ((forall @t18 @t128)))
% 0.45/0.64  (step @p108 :rule trans :premises (@p107 @p105))
% 0.45/0.64  (step @p109 :rule trans :premises (@p108 @p104))
% 0.45/0.64  (step @p110 :rule aci_norm :args ((= (or @t123 (or @t4 @t122)) @t128)))
% 0.45/0.64  (step @p111 :rule bool-impl-elim :args (@t3 @t122))
% 0.45/0.64  (step @p112 :rule refl :args (@t123))
% 0.45/0.64  (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t123 @t129)))
% 0.45/0.64  (step @p114 :rule trans :premises (@p113 @p110))
% 0.45/0.64  (step @p115 :rule bool-impl-elim :args (@t16 @t129))
% 0.45/0.64  (step @p116 :rule trans :premises (@p115 @p114))
% 0.45/0.64  (step @p117 :rule cong :premises (@p116) :args ((forall @t18 (=> @t16 @t129))))
% 0.45/0.64  (step @p118 :rule trans :premises (@p117 @p109))
% 0.45/0.64  (step @p119 :rule eq-symm :args (@t121 @t40))
% 0.45/0.64  (step @p120 :rule refl :args (@t40))
% 0.45/0.64  (step @p121 :rule eq-symm :args (@t2 @t1))
% 0.45/0.64  (step @p122 :rule nary_cong :premises (@p49 @p121) :args (@t5))
% 0.45/0.64  (step @p123 :rule eq-symm :args (@t2 @t6))
% 0.45/0.64  (step @p124 :rule refl :args (@t3))
% 0.45/0.64  (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t7))
% 0.45/0.64  (step @p126 :rule nary_cong :premises (@p125 @p122) :args (@t8))
% 0.45/0.64  (step @p127 :rule cong :premises (@p126) :args (@t10))
% 0.45/0.64  (step @p128 :rule refl :args (@t12))
% 0.45/0.64  (step @p129 :rule ho_cong :premises (@p128 @p127))
% 0.45/0.64  (step @p130 :rule cong :premises (@p129 @p120) :args (@t41))
% 0.45/0.64  (step @p131 :rule trans :premises (@p130 @p119))
% 0.45/0.64  (step @p132 :rule cong :premises (@p124 @p131) :args (@t42))
% 0.45/0.64  (step @p133 :rule refl :args (@t16))
% 0.45/0.64  (step @p134 :rule cong :premises (@p133 @p132) :args (@t43))
% 0.45/0.64  (step @p135 :rule cong :premises (@p134) :args (@t44))
% 0.45/0.64  (step @p136 :rule trans :premises (@p135 @p118))
% 0.45/0.64  (step @p137 :rule refl :args (@t21))
% 0.45/0.64  (step @p138 :rule cong :premises (@p137 @p136) :args (@t45))
% 0.45/0.64  (step @p139 :rule cong :premises (@p138) :args (@t46))
% 0.45/0.64  (step @p140 :rule trans :premises (@p139 @p84))
% 0.45/0.64  (step @p141 :rule refl :args (tptp.iftrueProp2))
% 0.45/0.64  (step @p142 :rule cong :premises (@p141 @p140) :args (@t47))
% 0.45/0.64  (step @p143 :rule eq_resolve :premises (@p4 @p142))
% 0.45/0.64  (step @p144 :rule cong :premises (@p143 @p8) :args (@t130))
% 0.45/0.64  (step @p145 :rule aci_norm :args ((= (or @t72 false @t133 @t131) (or @t72 @t133 @t131))))
% 0.45/0.64  (step @p146 :rule absorb :args ((= (and false @t134) false)))
% 0.45/0.64  (step @p147 :rule refl :args (@t134))
% 0.45/0.64  (step @p148 :rule nary_cong :premises (@p13 @p147) :args (@t135))
% 0.45/0.64  (step @p149 :rule trans :premises (@p148 @p146))
% 0.45/0.64  (step @p150 :rule nary_cong :premises (@p16 @p149) :args (@t136))
% 0.45/0.64  (step @p151 :rule trans :premises (@p150 @p10))
% 0.45/0.64  (step @p152 :rule cong :premises (@p151) :args (@t137))
% 0.45/0.64  (step @p153 :rule cong :premises (@p20 @p152) :args (@t138))
% 0.45/0.64  (step @p154 :rule refl :args (@t6))
% 0.45/0.64  (step @p155 :rule cong :premises (@p154 @p153) :args (@t139))
% 0.45/0.64  (step @p156 :rule refl :args (@t133))
% 0.45/0.64  (step @p157 :rule nary_cong :premises (@p25 @p13 @p156 @p155) :args (@t140))
% 0.45/0.64  (step @p158 :rule trans :premises (@p157 @p145))
% 0.45/0.64  (step @p159 :rule cong :premises (@p158) :args ((forall @t141 @t140)))
% 0.45/0.64  (step @p160 :rule quant-var-elim-eq :args ((= (forall @t92 (or @t91 @t72 @t4 @t133 @t142)) @t140)))
% 0.45/0.64  (step @p161 :rule refl :args (@t142))
% 0.45/0.64  (step @p162 :rule refl :args (@t133))
% 0.45/0.64  (step @p163 :rule nary_cong :premises (@p36 @p33 @p32 @p162 @p161) :args (@t143))
% 0.45/0.64  (step @p164 :rule aci_norm :args ((= @t144 @t143)))
% 0.45/0.64  (step @p165 :rule trans :premises (@p164 @p163))
% 0.45/0.64  (step @p166 :rule cong :premises (@p165) :args (@t145))
% 0.45/0.64  (step @p167 :rule trans :premises (@p166 @p160))
% 0.45/0.64  (step @p168 :rule cong :premises (@p167) :args (@t146))
% 0.45/0.64  (step @p169 :rule quant-merge-prenex :args ((= @t146 @t147)))
% 0.45/0.64  (step @p170 :rule symm :premises (@p169))
% 0.45/0.64  (step @p171 :rule quant_var_reordering :args ((= (forall @t148 @t144) @t147)))
% 0.45/0.64  (step @p172 :rule trans :premises (@p171 @p170 @p168))
% 0.45/0.64  (step @p173 :rule trans :premises (@p172 @p159))
% 0.45/0.64  (step @p174 :rule eq-symm :args (@t132 @t2))
% 0.45/0.64  (step @p175 :rule nary_cong :premises (@p49 @p174) :args (@t149))
% 0.45/0.64  (step @p176 :rule nary_cong :premises (@p51 @p175) :args (@t150))
% 0.45/0.64  (step @p177 :rule cong :premises (@p176) :args (@t151))
% 0.45/0.64  (step @p178 :rule cong :premises (@p20 @p177) :args (@t152))
% 0.45/0.64  (step @p179 :rule cong :premises (@p154 @p178) :args (@t153))
% 0.45/0.64  (step @p180 :rule nary_cong :premises (@p25 @p49 @p156 @p179) :args (@t154))
% 0.45/0.64  (step @p181 :rule aci_norm :args ((= @t156 @t154)))
% 0.45/0.64  (step @p182 :rule trans :premises (@p181 @p180))
% 0.45/0.64  (step @p183 :rule cong :premises (@p182) :args (@t157))
% 0.45/0.64  (step @p184 :rule trans :premises (@p183 @p173))
% 0.45/0.64  (step @p185 :rule quant-merge-prenex :args ((= (forall @t23 @t159) @t157)))
% 0.45/0.64  (step @p186 :rule alpha_equiv :args (@t160 (@list @t132) @t111))
% 0.45/0.64  (step @p187 :rule nary_cong :premises (@p33 @p32 @p186) :args (@t161))
% 0.45/0.64  (step @p188 :rule quant-miniscope-or :args ((= @t159 @t161)))
% 0.45/0.64  (step @p189 :rule trans :premises (@p188 @p187))
% 0.45/0.64  (step @p190 :rule symm :premises (@p189))
% 0.45/0.64  (step @p191 :rule cong :premises (@p190) :args ((forall @t23 (or @t72 @t4 @t163))))
% 0.45/0.64  (step @p192 :rule trans :premises (@p191 @p185))
% 0.45/0.64  (step @p193 :rule trans :premises (@p192 @p184))
% 0.45/0.64  (step @p194 :rule refl :args (@t163))
% 0.45/0.64  (step @p195 :rule nary_cong :premises (@p76 @p32 @p194) :args (@t164))
% 0.45/0.64  (step @p196 :rule cong :premises (@p195) :args ((forall @t23 @t164)))
% 0.45/0.64  (step @p197 :rule trans :premises (@p196 @p193))
% 0.45/0.64  (step @p198 :rule aci_norm :args ((= (or @t118 @t165) @t164)))
% 0.45/0.64  (step @p199 :rule bool-impl-elim :args (@t21 @t165))
% 0.45/0.64  (step @p200 :rule trans :premises (@p199 @p198))
% 0.45/0.64  (step @p201 :rule cong :premises (@p200) :args ((forall @t23 (=> @t21 @t165))))
% 0.45/0.64  (step @p202 :rule trans :premises (@p201 @p197))
% 0.45/0.64  (step @p203 :rule refl :args ((tptp.in @t6 @t121)))
% 0.45/0.64  (step @p204 :rule refl :args (@t6))
% 0.45/0.64  (step @p205 :rule cong :premises (@p204 @p85) :args (@t162))
% 0.45/0.64  (step @p206 :rule trans :premises (@p205 @p203))
% 0.45/0.64  (step @p207 :rule refl :args (@t20))
% 0.45/0.64  (step @p208 :rule ho_cong :premises (@p207 @p85))
% 0.45/0.64  (step @p209 :rule cong :premises (@p208 @p206) :args ((= (_ @t20 @t114) @t162)))
% 0.45/0.64  (step @p210 :rule symm :premises (@p209))
% 0.45/0.64  (step @p211 :rule refl :args (@t166))
% 0.45/0.64  (step @p212 :rule eq_resolve :premises (@p211 @p210))
% 0.45/0.64  (step @p213 :rule ho_cong :premises (@p207 @p89))
% 0.45/0.64  (step @p214 :rule trans :premises (@p213 @p212))
% 0.45/0.64  (step @p215 :rule nary_cong :premises (@p101 @p214) :args (@t167))
% 0.45/0.64  (step @p216 :rule cong :premises (@p215) :args (@t168))
% 0.45/0.64  (step @p217 :rule nary_cong :premises (@p49 @p216) :args (@t169))
% 0.45/0.64  (step @p218 :rule quant-miniscope-or :args ((= (forall @t18 @t170) @t169)))
% 0.45/0.64  (step @p219 :rule aci_norm :args ((= @t171 @t170)))
% 0.45/0.64  (step @p220 :rule cong :premises (@p219) :args ((forall @t18 @t171)))
% 0.45/0.64  (step @p221 :rule trans :premises (@p220 @p218))
% 0.45/0.64  (step @p222 :rule trans :premises (@p221 @p217))
% 0.45/0.64  (step @p223 :rule aci_norm :args ((= (or @t123 (or @t4 @t166)) @t171)))
% 0.45/0.64  (step @p224 :rule bool-impl-elim :args (@t3 @t166))
% 0.45/0.64  (step @p225 :rule nary_cong :premises (@p112 @p224) :args ((or @t123 @t172)))
% 0.45/0.64  (step @p226 :rule trans :premises (@p225 @p223))
% 0.45/0.64  (step @p227 :rule bool-impl-elim :args (@t16 @t172))
% 0.45/0.64  (step @p228 :rule trans :premises (@p227 @p226))
% 0.45/0.64  (step @p229 :rule cong :premises (@p228) :args ((forall @t18 (=> @t16 @t172))))
% 0.45/0.64  (step @p230 :rule trans :premises (@p229 @p222))
% 0.45/0.64  (step @p231 :rule refl :args (@t20))
% 0.45/0.64  (step @p232 :rule ho_cong :premises (@p231 @p129))
% 0.45/0.64  (step @p233 :rule cong :premises (@p124 @p232) :args (@t34))
% 0.45/0.64  (step @p234 :rule cong :premises (@p133 @p233) :args (@t35))
% 0.45/0.64  (step @p235 :rule cong :premises (@p234) :args (@t36))
% 0.45/0.64  (step @p236 :rule trans :premises (@p235 @p230))
% 0.45/0.64  (step @p237 :rule cong :premises (@p137 @p236) :args (@t37))
% 0.45/0.64  (step @p238 :rule cong :premises (@p237) :args (@t38))
% 0.45/0.64  (step @p239 :rule trans :premises (@p238 @p202))
% 0.45/0.64  (step @p240 :rule refl :args (tptp.iftrueProp1))
% 0.45/0.64  (step @p241 :rule cong :premises (@p240 @p239) :args (@t39))
% 0.45/0.64  (step @p242 :rule eq_resolve :premises (@p3 @p241))
% 0.45/0.64  (step @p243 :rule cong :premises (@p242 @p144) :args (@t173))
% 0.45/0.64  (step @p244 :rule aci_norm :args ((= (or false @t175) @t175)))
% 0.45/0.64  (step @p245 :rule aci_norm :args ((= (and true @t175) @t175)))
% 0.45/0.64  (step @p246 :rule refl :args (@t175))
% 0.45/0.64  (step @p247 :rule evaluate :args (@t176))
% 0.45/0.64  (step @p248 :rule nary_cong :premises (@p247 @p246) :args (@t177))
% 0.45/0.64  (step @p249 :rule trans :premises (@p248 @p245))
% 0.45/0.64  (step @p250 :rule absorb :args ((= @t178 false)))
% 0.45/0.64  (step @p251 :rule nary_cong :premises (@p250 @p249) :args (@t179))
% 0.45/0.64  (step @p252 :rule trans :premises (@p251 @p244))
% 0.45/0.64  (step @p253 :rule cong :premises (@p252) :args (@t180))
% 0.45/0.64  (step @p254 :rule cong :premises (@p20 @p253) :args (@t181))
% 0.45/0.64  (step @p255 :rule refl :args (@t182))
% 0.45/0.64  (step @p256 :rule cong :premises (@p255 @p254) :args (@t183))
% 0.45/0.64  (step @p257 :rule refl :args (@t184))
% 0.45/0.64  (step @p258 :rule nary_cong :premises (@p25 @p257 @p256) :args (@t185))
% 0.45/0.64  (step @p259 :rule aci_norm :args ((= @t186 @t185)))
% 0.45/0.64  (step @p260 :rule trans :premises (@p259 @p258))
% 0.45/0.64  (step @p261 :rule cong :premises (@p260) :args ((forall @t187 @t186)))
% 0.45/0.64  (step @p262 :rule quant-var-elim-eq :args ((= (forall @t92 (or @t190 @t72 @t3 @t184 @t189)) @t186)))
% 0.45/0.64  (step @p263 :rule refl :args (@t189))
% 0.45/0.64  (step @p264 :rule refl :args (@t184))
% 0.45/0.64  (step @p265 :rule refl :args (@t3))
% 0.45/0.64  (step @p266 :rule bool-eq-false :args (@t3))
% 0.45/0.64  (step @p267 :rule symm :premises (@p266))
% 0.45/0.64  (step @p268 :rule cong :premises (@p267) :args (@t191))
% 0.45/0.64  (step @p269 :rule bool-double-not-elim :args (@t3))
% 0.45/0.64  (step @p270 :rule symm :premises (@p269))
% 0.45/0.64  (step @p271 :rule trans :premises (@p270 @p268))
% 0.45/0.64  (step @p272 :rule nary_cong :premises (@p271 @p33 @p265 @p264 @p263) :args (@t192))
% 0.45/0.64  (step @p273 :rule aci_norm :args ((= @t193 @t192)))
% 0.45/0.64  (step @p274 :rule trans :premises (@p273 @p272))
% 0.45/0.64  (step @p275 :rule cong :premises (@p274) :args (@t194))
% 0.45/0.64  (step @p276 :rule trans :premises (@p275 @p262))
% 0.45/0.64  (step @p277 :rule cong :premises (@p276) :args (@t195))
% 0.45/0.64  (step @p278 :rule quant-merge-prenex :args ((= @t195 @t196)))
% 0.45/0.64  (step @p279 :rule symm :premises (@p278))
% 0.45/0.64  (step @p280 :rule quant_var_reordering :args ((= (forall @t197 @t193) @t196)))
% 0.45/0.64  (step @p281 :rule trans :premises (@p280 @p279 @p277))
% 0.45/0.64  (step @p282 :rule trans :premises (@p281 @p261))
% 0.45/0.64  (step @p283 :rule eq-symm :args (@t188 @t182))
% 0.45/0.64  (step @p284 :rule eq-symm :args (@t174 @t2))
% 0.45/0.64  (step @p285 :rule nary_cong :premises (@p49 @p284) :args (@t198))
% 0.45/0.64  (step @p286 :rule nary_cong :premises (@p51 @p285) :args (@t199))
% 0.45/0.64  (step @p287 :rule cong :premises (@p286) :args (@t200))
% 0.45/0.64  (step @p288 :rule cong :premises (@p20 @p287) :args (@t201))
% 0.45/0.64  (step @p289 :rule cong :premises (@p288 @p255) :args (@t202))
% 0.45/0.64  (step @p290 :rule trans :premises (@p289 @p283))
% 0.45/0.64  (step @p291 :rule nary_cong :premises (@p25 @p124 @p257 @p290) :args (@t203))
% 0.45/0.64  (step @p292 :rule aci_norm :args ((= @t205 @t203)))
% 0.45/0.64  (step @p293 :rule trans :premises (@p292 @p291))
% 0.45/0.64  (step @p294 :rule cong :premises (@p293) :args (@t206))
% 0.45/0.64  (step @p295 :rule trans :premises (@p294 @p282))
% 0.45/0.64  (step @p296 :rule quant-merge-prenex :args ((= (forall @t23 @t208) @t206)))
% 0.45/0.64  (step @p297 :rule alpha_equiv :args (@t209 (@list @t174) @t111))
% 0.45/0.64  (step @p298 :rule nary_cong :premises (@p33 @p265 @p297) :args (@t210))
% 0.45/0.64  (step @p299 :rule quant-miniscope-or :args ((= @t208 @t210)))
% 0.45/0.64  (step @p300 :rule trans :premises (@p299 @p298))
% 0.45/0.64  (step @p301 :rule symm :premises (@p300))
% 0.45/0.64  (step @p302 :rule cong :premises (@p301) :args ((forall @t23 (or @t72 @t3 @t212))))
% 0.45/0.64  (step @p303 :rule trans :premises (@p302 @p296))
% 0.45/0.64  (step @p304 :rule trans :premises (@p303 @p295))
% 0.45/0.64  (step @p305 :rule refl :args (@t212))
% 0.45/0.64  (step @p306 :rule nary_cong :premises (@p76 @p265 @p305) :args (@t213))
% 0.45/0.64  (step @p307 :rule cong :premises (@p306) :args ((forall @t23 @t213)))
% 0.45/0.64  (step @p308 :rule trans :premises (@p307 @p304))
% 0.45/0.64  (step @p309 :rule aci_norm :args ((= (or @t118 @t214) @t213)))
% 0.45/0.64  (step @p310 :rule bool-impl-elim :args (@t21 @t214))
% 0.45/0.64  (step @p311 :rule trans :premises (@p310 @p309))
% 0.45/0.64  (step @p312 :rule cong :premises (@p311) :args ((forall @t23 (=> @t21 @t214))))
% 0.45/0.64  (step @p313 :rule trans :premises (@p312 @p308))
% 0.45/0.64  (step @p314 :rule eq-symm :args (@t211 @t114))
% 0.45/0.64  (step @p315 :rule refl :args (@t116))
% 0.45/0.64  (step @p316 :rule nary_cong :premises (@p315 @p314) :args (@t215))
% 0.45/0.64  (step @p317 :rule cong :premises (@p316) :args ((forall @t18 @t215)))
% 0.45/0.64  (step @p318 :rule refl :args (@t211))
% 0.45/0.64  (step @p319 :rule refl :args (@t26))
% 0.45/0.64  (step @p320 :rule cong :premises (@p319 @p318) :args ((= @t26 @t211)))
% 0.45/0.64  (step @p321 :rule symm :premises (@p320))
% 0.45/0.64  (step @p322 :rule eq_resolve :premises (@p319 @p321))
% 0.45/0.64  (step @p323 :rule cong :premises (@p322 @p89) :args (@t216))
% 0.45/0.64  (step @p324 :rule nary_cong :premises (@p101 @p323) :args (@t217))
% 0.45/0.64  (step @p325 :rule cong :premises (@p324) :args (@t218))
% 0.45/0.64  (step @p326 :rule trans :premises (@p325 @p317))
% 0.45/0.64  (step @p327 :rule nary_cong :premises (@p124 @p326) :args (@t219))
% 0.45/0.64  (step @p328 :rule quant-miniscope-or :args ((= (forall @t18 @t220) @t219)))
% 0.45/0.64  (step @p329 :rule aci_norm :args ((= @t221 @t220)))
% 0.45/0.64  (step @p330 :rule cong :premises (@p329) :args ((forall @t18 @t221)))
% 0.45/0.64  (step @p331 :rule trans :premises (@p330 @p328))
% 0.45/0.64  (step @p332 :rule trans :premises (@p331 @p327))
% 0.45/0.64  (step @p333 :rule aci_norm :args ((= (or @t123 (or @t3 @t216)) @t221)))
% 0.45/0.64  (step @p334 :rule refl :args (@t216))
% 0.45/0.64  (step @p335 :rule nary_cong :premises (@p269 @p334) :args ((or @t191 @t216)))
% 0.45/0.64  (step @p336 :rule bool-impl-elim :args (@t4 @t216))
% 0.45/0.64  (step @p337 :rule trans :premises (@p336 @p335))
% 0.45/0.64  (step @p338 :rule nary_cong :premises (@p112 @p337) :args ((or @t123 @t222)))
% 0.45/0.64  (step @p339 :rule trans :premises (@p338 @p333))
% 0.45/0.64  (step @p340 :rule bool-impl-elim :args (@t16 @t222))
% 0.45/0.64  (step @p341 :rule trans :premises (@p340 @p339))
% 0.45/0.64  (step @p342 :rule cong :premises (@p341) :args ((forall @t18 (=> @t16 @t222))))
% 0.45/0.64  (step @p343 :rule trans :premises (@p342 @p332))
% 0.45/0.64  (step @p344 :rule eq-symm :args (@t121 @t26))
% 0.45/0.64  (step @p345 :rule refl :args (@t26))
% 0.45/0.64  (step @p346 :rule cong :premises (@p129 @p345) :args (@t27))
% 0.45/0.64  (step @p347 :rule trans :premises (@p346 @p344))
% 0.45/0.64  (step @p348 :rule cong :premises (@p49 @p347) :args (@t28))
% 0.45/0.64  (step @p349 :rule cong :premises (@p133 @p348) :args (@t29))
% 0.45/0.64  (step @p350 :rule cong :premises (@p349) :args (@t30))
% 0.45/0.64  (step @p351 :rule trans :premises (@p350 @p343))
% 0.45/0.64  (step @p352 :rule cong :premises (@p137 @p351) :args (@t31))
% 0.45/0.64  (step @p353 :rule cong :premises (@p352) :args (@t32))
% 0.45/0.64  (step @p354 :rule trans :premises (@p353 @p313))
% 0.45/0.64  (step @p355 :rule refl :args (tptp.iffalseProp2))
% 0.45/0.64  (step @p356 :rule cong :premises (@p355 @p354) :args (@t33))
% 0.45/0.64  (step @p357 :rule eq_resolve :premises (@p2 @p356))
% 0.45/0.64  (step @p358 :rule cong :premises (@p357 @p243) :args (@t223))
% 0.45/0.64  (step @p359 :rule aci_norm :args ((= (or false @t225) @t225)))
% 0.45/0.64  (step @p360 :rule aci_norm :args ((= (and true @t225) @t225)))
% 0.45/0.64  (step @p361 :rule refl :args (@t225))
% 0.45/0.64  (step @p362 :rule nary_cong :premises (@p247 @p361) :args (@t226))
% 0.45/0.64  (step @p363 :rule trans :premises (@p362 @p360))
% 0.45/0.64  (step @p364 :rule nary_cong :premises (@p250 @p363) :args (@t227))
% 0.45/0.64  (step @p365 :rule trans :premises (@p364 @p359))
% 0.45/0.64  (step @p366 :rule cong :premises (@p365) :args (@t228))
% 0.45/0.64  (step @p367 :rule cong :premises (@p20 @p366) :args (@t229))
% 0.45/0.64  (step @p368 :rule refl :args (@t224))
% 0.45/0.64  (step @p369 :rule cong :premises (@p368 @p367) :args (@t230))
% 0.45/0.64  (step @p370 :rule refl :args (@t231))
% 0.45/0.64  (step @p371 :rule nary_cong :premises (@p25 @p370 @p369) :args (@t232))
% 0.45/0.64  (step @p372 :rule aci_norm :args ((= @t233 @t232)))
% 0.45/0.64  (step @p373 :rule trans :premises (@p372 @p371))
% 0.45/0.64  (step @p374 :rule cong :premises (@p373) :args ((forall @t234 @t233)))
% 0.45/0.64  (step @p375 :rule quant-var-elim-eq :args ((= (forall @t92 (or @t190 @t72 @t3 @t231 @t235)) @t233)))
% 0.45/0.64  (step @p376 :rule refl :args (@t235))
% 0.45/0.64  (step @p377 :rule refl :args (@t231))
% 0.45/0.64  (step @p378 :rule nary_cong :premises (@p271 @p33 @p265 @p377 @p376) :args (@t236))
% 0.45/0.64  (step @p379 :rule aci_norm :args ((= @t237 @t236)))
% 0.45/0.64  (step @p380 :rule trans :premises (@p379 @p378))
% 0.45/0.64  (step @p381 :rule cong :premises (@p380) :args (@t238))
% 0.45/0.64  (step @p382 :rule trans :premises (@p381 @p375))
% 0.45/0.64  (step @p383 :rule cong :premises (@p382) :args (@t239))
% 0.45/0.64  (step @p384 :rule quant-merge-prenex :args ((= @t239 @t240)))
% 0.45/0.64  (step @p385 :rule symm :premises (@p384))
% 0.45/0.64  (step @p386 :rule quant_var_reordering :args ((= (forall @t241 @t237) @t240)))
% 0.45/0.64  (step @p387 :rule trans :premises (@p386 @p385 @p383))
% 0.45/0.64  (step @p388 :rule trans :premises (@p387 @p374))
% 0.45/0.64  (step @p389 :rule eq-symm :args (@t224 @t2))
% 0.45/0.64  (step @p390 :rule nary_cong :premises (@p49 @p389) :args (@t242))
% 0.45/0.64  (step @p391 :rule nary_cong :premises (@p51 @p390) :args (@t243))
% 0.45/0.64  (step @p392 :rule cong :premises (@p391) :args (@t244))
% 0.45/0.64  (step @p393 :rule cong :premises (@p20 @p392) :args (@t245))
% 0.45/0.64  (step @p394 :rule cong :premises (@p368 @p393) :args (@t246))
% 0.45/0.64  (step @p395 :rule nary_cong :premises (@p25 @p124 @p370 @p394) :args (@t247))
% 0.45/0.64  (step @p396 :rule aci_norm :args ((= @t249 @t247)))
% 0.45/0.64  (step @p397 :rule trans :premises (@p396 @p395))
% 0.45/0.64  (step @p398 :rule cong :premises (@p397) :args (@t250))
% 0.45/0.64  (step @p399 :rule trans :premises (@p398 @p388))
% 0.45/0.64  (step @p400 :rule quant-merge-prenex :args ((= (forall @t23 @t252) @t250)))
% 0.45/0.64  (step @p401 :rule alpha_equiv :args (@t253 (@list @t224) @t111))
% 0.45/0.64  (step @p402 :rule nary_cong :premises (@p33 @p265 @p401) :args (@t254))
% 0.45/0.64  (step @p403 :rule quant-miniscope-or :args ((= @t252 @t254)))
% 0.45/0.64  (step @p404 :rule trans :premises (@p403 @p402))
% 0.45/0.64  (step @p405 :rule symm :premises (@p404))
% 0.45/0.64  (step @p406 :rule cong :premises (@p405) :args ((forall @t23 (or @t72 @t3 @t256))))
% 0.45/0.64  (step @p407 :rule trans :premises (@p406 @p400))
% 0.45/0.64  (step @p408 :rule trans :premises (@p407 @p399))
% 0.45/0.64  (step @p409 :rule refl :args (@t256))
% 0.45/0.64  (step @p410 :rule nary_cong :premises (@p76 @p265 @p409) :args (@t257))
% 0.45/0.64  (step @p411 :rule cong :premises (@p410) :args ((forall @t23 @t257)))
% 0.45/0.64  (step @p412 :rule trans :premises (@p411 @p408))
% 0.45/0.64  (step @p413 :rule aci_norm :args ((= (or @t118 @t258) @t257)))
% 0.45/0.64  (step @p414 :rule bool-impl-elim :args (@t21 @t258))
% 0.45/0.64  (step @p415 :rule trans :premises (@p414 @p413))
% 0.45/0.64  (step @p416 :rule cong :premises (@p415) :args ((forall @t23 (=> @t21 @t258))))
% 0.45/0.64  (step @p417 :rule trans :premises (@p416 @p412))
% 0.45/0.64  (step @p418 :rule refl :args ((tptp.in @t1 @t121)))
% 0.45/0.64  (step @p419 :rule refl :args (@t1))
% 0.45/0.64  (step @p420 :rule cong :premises (@p419 @p85) :args (@t255))
% 0.45/0.64  (step @p421 :rule trans :premises (@p420 @p418))
% 0.45/0.64  (step @p422 :rule refl :args (@t14))
% 0.45/0.64  (step @p423 :rule ho_cong :premises (@p422 @p85))
% 0.45/0.64  (step @p424 :rule cong :premises (@p423 @p421) :args ((= (_ @t14 @t114) @t255)))
% 0.45/0.64  (step @p425 :rule symm :premises (@p424))
% 0.45/0.64  (step @p426 :rule refl :args (@t259))
% 0.45/0.64  (step @p427 :rule eq_resolve :premises (@p426 @p425))
% 0.45/0.64  (step @p428 :rule ho_cong :premises (@p422 @p89))
% 0.45/0.64  (step @p429 :rule trans :premises (@p428 @p427))
% 0.45/0.64  (step @p430 :rule nary_cong :premises (@p101 @p429) :args (@t260))
% 0.45/0.64  (step @p431 :rule cong :premises (@p430) :args (@t261))
% 0.45/0.64  (step @p432 :rule nary_cong :premises (@p124 @p431) :args (@t262))
% 0.45/0.64  (step @p433 :rule quant-miniscope-or :args ((= (forall @t18 @t263) @t262)))
% 0.45/0.64  (step @p434 :rule aci_norm :args ((= @t264 @t263)))
% 0.45/0.64  (step @p435 :rule cong :premises (@p434) :args ((forall @t18 @t264)))
% 0.45/0.64  (step @p436 :rule trans :premises (@p435 @p433))
% 0.45/0.64  (step @p437 :rule trans :premises (@p436 @p432))
% 0.45/0.64  (step @p438 :rule aci_norm :args ((= (or @t123 (or @t3 @t259)) @t264)))
% 0.45/0.64  (step @p439 :rule nary_cong :premises (@p269 @p426) :args ((or @t191 @t259)))
% 0.45/0.64  (step @p440 :rule bool-impl-elim :args (@t4 @t259))
% 0.45/0.64  (step @p441 :rule trans :premises (@p440 @p439))
% 0.45/0.64  (step @p442 :rule nary_cong :premises (@p112 @p441) :args ((or @t123 @t265)))
% 0.45/0.64  (step @p443 :rule trans :premises (@p442 @p438))
% 0.45/0.64  (step @p444 :rule bool-impl-elim :args (@t16 @t265))
% 0.45/0.64  (step @p445 :rule trans :premises (@p444 @p443))
% 0.45/0.64  (step @p446 :rule cong :premises (@p445) :args ((forall @t18 (=> @t16 @t265))))
% 0.45/0.64  (step @p447 :rule trans :premises (@p446 @p437))
% 0.45/0.64  (step @p448 :rule refl :args (@t14))
% 0.45/0.64  (step @p449 :rule ho_cong :premises (@p448 @p129))
% 0.45/0.64  (step @p450 :rule cong :premises (@p49 @p449) :args (@t15))
% 0.45/0.64  (step @p451 :rule cong :premises (@p133 @p450) :args (@t17))
% 0.45/0.64  (step @p452 :rule cong :premises (@p451) :args (@t19))
% 0.45/0.64  (step @p453 :rule trans :premises (@p452 @p447))
% 0.45/0.64  (step @p454 :rule cong :premises (@p137 @p453) :args (@t22))
% 0.45/0.64  (step @p455 :rule cong :premises (@p454) :args (@t24))
% 0.45/0.64  (step @p456 :rule trans :premises (@p455 @p417))
% 0.45/0.64  (step @p457 :rule refl :args (tptp.iffalseProp1))
% 0.45/0.64  (step @p458 :rule cong :premises (@p457 @p456) :args (@t25))
% 0.45/0.64  (step @p459 :rule eq_resolve :premises (@p1 @p458))
% 0.45/0.64  (step @p460 :rule cong :premises (@p459 @p358) :args (@t266))
% 0.45/0.64  (step @p461 :rule cong :premises (@p460) :args ((not @t266)))
% 0.45/0.64  (step @p462 :rule eq-symm :args (@t66 @t68))
% 0.45/0.64  (step @p463 :rule refl :args (@t68))
% 0.45/0.64  (step @p464 :rule eq-symm :args (@t63 @t2))
% 0.45/0.64  (step @p465 :rule nary_cong :premises (@p49 @p464) :args (@t267))
% 0.45/0.64  (step @p466 :rule nary_cong :premises (@p51 @p465) :args (@t268))
% 0.45/0.64  (step @p467 :rule cong :premises (@p466) :args (@t269))
% 0.45/0.64  (step @p468 :rule cong :premises (@p20 @p467) :args (@t270))
% 0.45/0.64  (step @p469 :rule cong :premises (@p468 @p463) :args (@t271))
% 0.45/0.64  (step @p470 :rule trans :premises (@p469 @p462))
% 0.45/0.64  (step @p471 :rule cong :premises (@p470) :args (@t272))
% 0.45/0.64  (step @p472 :rule refl :args (@t67))
% 0.45/0.64  (step @p473 :rule cong :premises (@p472 @p468) :args (@t273))
% 0.45/0.64  (step @p474 :rule cong :premises (@p473) :args (@t274))
% 0.45/0.64  (step @p475 :rule nary_cong :premises (@p474 @p471) :args (@t275))
% 0.45/0.64  (step @p476 :rule cong :premises (@p475) :args (@t276))
% 0.45/0.64  (step @p477 :rule cong :premises (@p476) :args (@t277))
% 0.45/0.64  (step @p478 :rule refl :args (@t70))
% 0.45/0.64  (step @p479 :rule nary_cong :premises (@p25 @p478 @p477) :args (@t278))
% 0.45/0.64  (step @p480 :rule aci_norm :args ((= @t280 @t278)))
% 0.45/0.64  (step @p481 :rule trans :premises (@p480 @p479))
% 0.45/0.64  (step @p482 :rule cong :premises (@p481) :args (@t281))
% 0.45/0.64  (step @p483 :rule quant-merge-prenex :args ((= (forall @t23 @t283) @t281)))
% 0.45/0.64  (step @p484 :rule alpha_equiv :args (@t284 (@list @t63) @t111))
% 0.45/0.64  (step @p485 :rule nary_cong :premises (@p33 @p484) :args (@t285))
% 0.45/0.64  (step @p486 :rule quant-miniscope-or :args ((= @t283 @t285)))
% 0.45/0.64  (step @p487 :rule trans :premises (@p486 @p485))
% 0.45/0.64  (step @p488 :rule symm :premises (@p487))
% 0.45/0.64  (step @p489 :rule cong :premises (@p488) :args ((forall @t23 (or @t72 @t287))))
% 0.45/0.64  (step @p490 :rule trans :premises (@p489 @p483))
% 0.45/0.64  (step @p491 :rule trans :premises (@p490 @p482))
% 0.45/0.64  (step @p492 :rule refl :args (@t287))
% 0.45/0.64  (step @p493 :rule nary_cong :premises (@p76 @p492) :args (@t288))
% 0.45/0.64  (step @p494 :rule cong :premises (@p493) :args ((forall @t23 @t288)))
% 0.45/0.64  (step @p495 :rule trans :premises (@p494 @p491))
% 0.45/0.64  (step @p496 :rule bool-impl-elim :args (@t21 @t287))
% 0.45/0.64  (step @p497 :rule cong :premises (@p496) :args ((forall @t23 (=> @t21 @t287))))
% 0.45/0.64  (step @p498 :rule trans :premises (@p497 @p495))
% 0.45/0.64  (step @p499 :rule refl :args (@t286))
% 0.45/0.64  (step @p500 :rule nary_cong :premises (@p101 @p499) :args (@t289))
% 0.45/0.64  (step @p501 :rule cong :premises (@p500) :args ((forall @t18 @t289)))
% 0.45/0.64  (step @p502 :rule bool-impl-elim :args (@t16 @t286))
% 0.45/0.64  (step @p503 :rule cong :premises (@p502) :args ((forall @t18 (=> @t16 @t286))))
% 0.45/0.64  (step @p504 :rule trans :premises (@p503 @p501))
% 0.45/0.64  (step @p505 :rule refl :args (@t68))
% 0.45/0.64  (step @p506 :rule cong :premises (@p89 @p505) :args (@t290))
% 0.45/0.64  (step @p507 :rule cong :premises (@p506) :args (@t291))
% 0.45/0.64  (step @p508 :rule refl :args (@t67))
% 0.45/0.64  (step @p509 :rule cong :premises (@p508 @p89) :args (@t292))
% 0.45/0.64  (step @p510 :rule cong :premises (@p509) :args (@t293))
% 0.45/0.64  (step @p511 :rule nary_cong :premises (@p510 @p507) :args (@t294))
% 0.45/0.64  (step @p512 :rule cong :premises (@p511) :args (@t295))
% 0.45/0.64  (step @p513 :rule cong :premises (@p512) :args (@t296))
% 0.45/0.64  (step @p514 :rule beta-reduce :args ((= (_ (lambda @t61 (not (forall @t69 (or (not (tptp.in @t67 @t11)) (not (= @t11 @t68)))))) @t121) @t296)))
% 0.45/0.64  (step @p515 :rule trans :premises (@p514 @p513))
% 0.45/0.64  (step @p516 :rule alpha_equiv :args (@t297 (@list @t6) (@list @t67)))
% 0.45/0.64  (step @p517 :rule cong :premises (@p516) :args (@t298))
% 0.45/0.64  (step @p518 :rule cong :premises (@p517) :args (@t299))
% 0.45/0.64  (step @p519 :rule ho_cong :premises (@p518 @p86))
% 0.45/0.64  (step @p520 :rule trans :premises (@p519 @p515))
% 0.45/0.64  (step @p521 :rule refl :args (@t299))
% 0.45/0.64  (step @p522 :rule ho_cong :premises (@p521 @p129))
% 0.45/0.64  (step @p523 :rule trans :premises (@p522 @p520))
% 0.45/0.64  (step @p524 :rule cong :premises (@p133 @p523) :args (@t300))
% 0.45/0.64  (step @p525 :rule cong :premises (@p524) :args (@t301))
% 0.45/0.64  (step @p526 :rule trans :premises (@p525 @p504))
% 0.45/0.64  (step @p527 :rule cong :premises (@p137 @p526) :args (@t302))
% 0.45/0.64  (step @p528 :rule cong :premises (@p527) :args (@t303))
% 0.45/0.64  (step @p529 :rule trans :premises (@p528 @p498))
% 0.45/0.64  (step @p530 :rule cong :premises (@p141 @p529) :args (@t304))
% 0.45/0.64  (step @p531 :rule cong :premises (@p240 @p530) :args (@t305))
% 0.45/0.64  (step @p532 :rule cong :premises (@p355 @p531) :args (@t306))
% 0.45/0.64  (step @p533 :rule cong :premises (@p457 @p532) :args (@t307))
% 0.45/0.64  (step @p534 :rule cong :premises (@p533) :args ((not @t307)))
% 0.45/0.64  (step @p535 :rule refl :args (@t13))
% 0.45/0.64  (step @p536 :rule refl :args (@t11))
% 0.45/0.64  (step @p537 :rule cong :premises (@p536 @p94) :args (@t57))
% 0.45/0.64  (step @p538 :rule cong :premises (@p537) :args (@t308))
% 0.45/0.64  (step @p539 :rule nary_cong :premises (@p76 @p538) :args (@t309))
% 0.45/0.64  (step @p540 :rule cong :premises (@p539) :args ((forall @t59 @t309)))
% 0.45/0.64  (step @p541 :rule bool-and-de-morgan :args (@t21 @t57 true))
% 0.45/0.64  (step @p542 :rule cong :premises (@p541) :args (@t310))
% 0.45/0.64  (step @p543 :rule trans :premises (@p542 @p540))
% 0.45/0.64  (step @p544 :rule cong :premises (@p543) :args (@t311))
% 0.45/0.64  (step @p545 :rule exists-elim :args ((= @t60 @t311)))
% 0.45/0.64  (step @p546 :rule trans :premises (@p545 @p544))
% 0.45/0.64  (step @p547 :rule cong :premises (@p546) :args (@t62))
% 0.45/0.64  (step @p548 :rule trans :premises (@p7 @p547))
% 0.45/0.64  (step @p549 :rule ho_cong :premises (@p548 @p535))
% 0.45/0.64  (step @p550 :rule cong :premises (@p133 @p549) :args (@t48))
% 0.45/0.64  (step @p551 :rule cong :premises (@p550) :args (@t49))
% 0.45/0.64  (step @p552 :rule cong :premises (@p137 @p551) :args (@t50))
% 0.45/0.64  (step @p553 :rule cong :premises (@p552) :args (@t51))
% 0.45/0.64  (step @p554 :rule cong :premises (@p141 @p553) :args (@t52))
% 0.45/0.64  (step @p555 :rule cong :premises (@p240 @p554) :args (@t53))
% 0.45/0.64  (step @p556 :rule cong :premises (@p355 @p555) :args (@t54))
% 0.45/0.64  (step @p557 :rule cong :premises (@p457 @p556) :args (@t55))
% 0.45/0.64  (step @p558 :rule cong :premises (@p557) :args (@t56))
% 0.45/0.64  (step @p559 :rule trans :premises (@p558 @p534))
% 0.45/0.64  (step @p560 :rule trans :premises (@p559 @p461))
% 0.45/0.64  (step @p561 :rule eq_resolve :premises (@p5 @p560))
% 0.45/0.64  (step @p562 :rule not_implies_elim2 :premises (@p561))
% 0.45/0.64  (step @p563 :rule not_implies_elim1 :premises (@p562))
% 0.45/0.64  (step @p564 :rule eq-symm :args (@t317 @t318))
% 0.45/0.64  (step @p565 :rule refl :args (@t318))
% 0.45/0.64  (step @p566 :rule eq-refl :args (@t314))
% 0.45/0.64  (step @p567 :rule skolem_intro :args (@t315))
% 0.45/0.64  (step @p568 :rule refl :args (@t314))
% 0.45/0.64  (step @p569 :rule cong :premises (@p568 @p567) :args ((= @t314 @t315)))
% 0.45/0.64  (step @p570 :rule trans :premises (@p569 @p566))
% 0.45/0.64  (step @p571 :rule true_elim :premises (@p570))
% 0.45/0.64  (step @p572 :rule refl :args (@t316))
% 0.45/0.64  (step @p573 :rule cong :premises (@p572 @p571) :args (@t319))
% 0.45/0.64  (step @p574 :rule cong :premises (@p573 @p565) :args (@t320))
% 0.45/0.64  (step @p575 :rule trans :premises (@p574 @p564))
% 0.45/0.64  (step @p576 :rule refl :args (@t322))
% 0.45/0.64  (step @p577 :rule nary_cong :premises (@p576 @p576 @p575) :args (@t323))
% 0.45/0.64  (step @p578 :rule refl :args (@t324))
% 0.45/0.64  (step @p579 :rule cong :premises (@p578 @p577) :args ((=> @t324 @t323)))
% 0.45/0.64  (step @p580 :rule eq-symm :args (@t318 @t319))
% 0.45/0.64  (step @p581 :rule nary_cong :premises (@p576 @p576 @p580) :args (@t325))
% 0.45/0.64  (step @p582 :rule cong :premises (@p578 @p581) :args ((=> @t324 @t325)))
% 0.45/0.64  (assume-push @p948 @t324)
% 0.45/0.64  (step @p584 :rule instantiate :premises (@p563) :args (@t326))
% 0.45/0.64  (step-pop @p949 :rule scope :premises (@p584))
% 0.45/0.64  (step @p585 :rule process_scope :premises (@p949) :args (@t325))
% 0.45/0.64  (step @p587 :rule eq_resolve :premises (@p585 @p582))
% 0.45/0.64  (step @p588 :rule eq_resolve :premises (@p587 @p579))
% 0.45/0.64  (step @p589 :rule implies_elim :premises (@p588))
% 0.45/0.64  (step @p590 :rule chain_m_resolution :premises (@p589 @p563) :args (@t328 @t329 @t330))
% 0.45/0.64  (step @p591 :rule not_implies_elim2 :premises (@p562))
% 0.45/0.64  (step @p592 :rule not_implies_elim2 :premises (@p591))
% 0.45/0.64  (step @p593 :rule not_implies_elim2 :premises (@p592))
% 0.45/0.64  (step @p594 :rule refl :args (@t343))
% 0.45/0.64  (step @p595 :rule bool-double-not-elim :args (@t74))
% 0.45/0.64  (step @p596 :rule nary_cong :premises (@p595 @p594) :args ((or (not @t344) @t343)))
% 0.45/0.64  (step @p597 :rule refl :args (@t335))
% 0.45/0.64  (step @p598 :rule eq-symm :args (@t312 @t2))
% 0.45/0.64  (step @p599 :rule refl :args (@t333))
% 0.45/0.64  (step @p600 :rule nary_cong :premises (@p599 @p598) :args (@t345))
% 0.45/0.64  (step @p601 :rule nary_cong :premises (@p600 @p597) :args (@t346))
% 0.45/0.64  (step @p602 :rule cong :premises (@p601) :args (@t347))
% 0.45/0.64  (step @p603 :rule cong :premises (@p572 @p602) :args (@t348))
% 0.45/0.64  (step @p604 :rule cong :premises (@p463 @p603) :args (@t349))
% 0.45/0.64  (step @p605 :rule cong :premises (@p604) :args (@t350))
% 0.45/0.64  (step @p606 :rule cong :premises (@p472 @p603) :args (@t351))
% 0.45/0.64  (step @p607 :rule cong :premises (@p606) :args (@t352))
% 0.45/0.64  (step @p608 :rule nary_cong :premises (@p607 @p605) :args (@t353))
% 0.45/0.64  (step @p609 :rule cong :premises (@p608) :args (@t354))
% 0.45/0.64  (step @p610 :rule cong :premises (@p609) :args (@t355))
% 0.45/0.64  (step @p611 :rule refl :args (@t341))
% 0.45/0.64  (step @p612 :rule nary_cong :premises (@p576 @p611 @p610) :args (@t356))
% 0.45/0.64  (step @p613 :rule cong :premises (@p612) :args (@t357))
% 0.45/0.64  (step @p614 :rule refl :args (@t344))
% 0.45/0.64  (step @p615 :rule cong :premises (@p614 @p613) :args ((=> @t344 @t357)))
% 0.45/0.64  (assume-push @p950 @t344)
% 0.45/0.64  (step @p617 :rule skolemize :premises (@p593))
% 0.45/0.64  (step-pop @p951 :rule scope :premises (@p617))
% 0.45/0.64  (step @p618 :rule process_scope :premises (@p951) :args (@t357))
% 0.45/0.64  (step @p620 :rule eq_resolve :premises (@p618 @p615))
% 0.45/0.64  (step @p621 :rule implies_elim :premises (@p620))
% 0.45/0.64  (step @p622 :rule eq_resolve :premises (@p621 @p596))
% 0.45/0.64  (step @p623 :rule chain_m_resolution :premises (@p622 @p593) :args (@t343 @t358 (@list @t74)))
% 0.45/0.64  (step @p624 :rule bool-double-not-elim :args (@t321))
% 0.45/0.64  (step @p625 :rule refl :args (@t342))
% 0.45/0.64  (step @p626 :rule nary_cong :premises (@p625 @p624) :args ((or @t342 (not @t322))))
% 0.45/0.64  (step @p627 :rule cnf_or_neg :args (@t342 0))
% 0.45/0.64  (step @p628 :rule eq_resolve :premises (@p627 @p626))
% 0.45/0.64  (step @p629 :rule reordering :premises (@p628) :args ((or @t321 @t342)))
% 0.45/0.64  (step @p630 :rule chain_m_resolution :premises (@p629 @p623) :args (@t321 @t358 @t359))
% 0.45/0.64  (step @p631 :rule cnf_or_pos :args (@t328))
% 0.45/0.64  (step @p632 :rule factoring :premises (@p631))
% 0.45/0.64  (step @p633 :rule reordering :premises (@p632) :args ((or @t322 @t327 (not @t328))))
% 0.45/0.64  (step @p634 :rule chain_m_resolution :premises (@p633 @p630 @p590) :args (@t327 @t360 (@list @t321 @t328)))
% 0.45/0.64  (assume-push @p952 @t327)
% 0.45/0.64  (assume-push @p953 @t362)
% 0.45/0.64  (assume-push @p954 @t362)
% 0.45/0.64  (assume-push @p955 @t327)
% 0.45/0.64  (step @p639 :rule symm :premises (@p953))
% 0.45/0.64  (step @p640 :rule cong :premises (@p572 @p639) :args (@t317))
% 0.45/0.64  (step @p641 :rule trans :premises (@p634 @p640))
% 0.45/0.64  (step-pop @p956 :rule scope :premises (@p641))
% 0.45/0.64  (step-pop @p957 :rule scope :premises (@p956))
% 0.45/0.64  (step @p642 :rule process_scope :premises (@p957) :args (@t364))
% 0.45/0.64  (step @p645 :rule and_intro :premises (@p953 @p634))
% 0.45/0.64  (step @p646 :rule modus_ponens :premises (@p645 @p642))
% 0.45/0.64  (step-pop @p958 :rule scope :premises (@p646))
% 0.45/0.64  (step-pop @p959 :rule scope :premises (@p958))
% 0.45/0.64  (step @p647 :rule process_scope :premises (@p959) :args (@t364))
% 0.45/0.64  (step @p650 :rule implies_elim :premises (@p647))
% 0.45/0.64  (step @p651 :rule cnf_and_neg :args (@t365))
% 0.45/0.64  (step @p652 :rule resolution :premises (@p651 @p650) :args (true @t365))
% 0.45/0.64  (step @p653 :rule not_implies_elim1 :premises (@p561))
% 0.45/0.64  (step @p654 :rule refl :args (@t312))
% 0.45/0.64  (step @p655 :rule cong :premises (@p654 @p573) :args (@t366))
% 0.45/0.64  (step @p656 :rule nary_cong :premises (@p576 @p576 @p655) :args (@t367))
% 0.45/0.64  (step @p657 :rule refl :args (@t368))
% 0.45/0.64  (step @p658 :rule cong :premises (@p657 @p656) :args ((=> @t368 @t367)))
% 0.45/0.64  (assume-push @p960 @t368)
% 0.45/0.64  (step @p660 :rule instantiate :premises (@p653) :args (@t326))
% 0.45/0.64  (step-pop @p961 :rule scope :premises (@p660))
% 0.45/0.64  (step @p661 :rule process_scope :premises (@p961) :args (@t367))
% 0.45/0.64  (step @p663 :rule eq_resolve :premises (@p661 @p658))
% 0.45/0.64  (step @p664 :rule implies_elim :premises (@p663))
% 0.45/0.64  (step @p665 :rule chain_m_resolution :premises (@p664 @p653) :args (@t370 @t329 @t371))
% 0.45/0.64  (step @p666 :rule cnf_or_pos :args (@t370))
% 0.45/0.64  (step @p667 :rule factoring :premises (@p666))
% 0.45/0.64  (step @p668 :rule reordering :premises (@p667) :args ((or @t322 @t369 (not @t370))))
% 0.45/0.64  (step @p669 :rule chain_m_resolution :premises (@p668 @p630 @p665) :args (@t369 @t360 (@list @t321 @t370)))
% 0.45/0.64  (assume-push @p962 @t369)
% 0.45/0.64  (assume-push @p963 @t362)
% 0.45/0.64  (assume-push @p964 @t369)
% 0.45/0.64  (assume-push @p965 @t362)
% 0.45/0.64  (step @p674 :rule true_intro :premises (@p669))
% 0.45/0.64  (step @p675 :rule cong :premises (@p572 @p963) :args (@t363))
% 0.45/0.64  (step @p676 :rule cong :premises (@p654 @p675) :args (@t372))
% 0.45/0.64  (step @p677 :rule trans :premises (@p676 @p674))
% 0.45/0.64  (step @p678 :rule true_elim :premises (@p677))
% 0.45/0.64  (step-pop @p966 :rule scope :premises (@p678))
% 0.45/0.64  (step-pop @p967 :rule scope :premises (@p966))
% 0.45/0.64  (step @p679 :rule process_scope :premises (@p967) :args (@t372))
% 0.45/0.64  (step @p682 :rule and_intro :premises (@p669 @p963))
% 0.45/0.64  (step @p683 :rule modus_ponens :premises (@p682 @p679))
% 0.45/0.64  (step-pop @p968 :rule scope :premises (@p683))
% 0.45/0.64  (step-pop @p969 :rule scope :premises (@p968))
% 0.45/0.64  (step @p684 :rule process_scope :premises (@p969) :args (@t372))
% 0.45/0.64  (step @p687 :rule implies_elim :premises (@p684))
% 0.45/0.64  (step @p688 :rule cnf_and_neg :args (@t373))
% 0.45/0.64  (step @p689 :rule resolution :premises (@p688 @p687) :args (true @t373))
% 0.45/0.64  (step @p690 :rule bool-double-not-elim :args (@t338))
% 0.45/0.64  (step @p691 :rule nary_cong :premises (@p625 @p690) :args ((or @t342 (not @t339))))
% 0.45/0.64  (step @p692 :rule cnf_or_neg :args (@t342 2))
% 0.45/0.64  (step @p693 :rule eq_resolve :premises (@p692 @p691))
% 0.45/0.64  (step @p694 :rule reordering :premises (@p693) :args ((or @t338 @t342)))
% 0.45/0.64  (step @p695 :rule chain_m_resolution :premises (@p694 @p623) :args (@t338 @t358 @t359))
% 0.45/0.64  (step @p696 :rule eq-symm :args (@t363 @t318))
% 0.45/0.64  (step @p697 :rule eq-refl :args (@t336))
% 0.45/0.64  (step @p698 :rule skolem_intro :args (@t361))
% 0.45/0.64  (step @p699 :rule refl :args (@t336))
% 0.45/0.64  (step @p700 :rule cong :premises (@p699 @p698) :args ((= @t336 @t361)))
% 0.45/0.64  (step @p701 :rule trans :premises (@p700 @p697))
% 0.45/0.64  (step @p702 :rule true_elim :premises (@p701))
% 0.45/0.64  (step @p703 :rule cong :premises (@p572 @p702) :args (@t337))
% 0.45/0.64  (step @p704 :rule cong :premises (@p703 @p565) :args (@t374))
% 0.45/0.64  (step @p705 :rule trans :premises (@p704 @p696))
% 0.45/0.64  (step @p706 :rule cong :premises (@p705) :args (@t375))
% 0.45/0.64  (step @p707 :rule cong :premises (@p654 @p703) :args (@t376))
% 0.45/0.64  (step @p708 :rule cong :premises (@p707) :args (@t377))
% 0.45/0.64  (step @p709 :rule nary_cong :premises (@p708 @p706) :args (@t378))
% 0.45/0.64  (step @p710 :rule refl :args (@t338))
% 0.45/0.64  (step @p711 :rule cong :premises (@p710 @p709) :args ((=> @t338 @t378)))
% 0.45/0.64  (step @p712 :rule eq-symm :args (@t318 @t337))
% 0.45/0.64  (step @p713 :rule cong :premises (@p712) :args (@t379))
% 0.45/0.64  (step @p714 :rule refl :args (@t377))
% 0.45/0.64  (step @p715 :rule nary_cong :premises (@p714 @p713) :args (@t380))
% 0.45/0.64  (step @p716 :rule cong :premises (@p710 @p715) :args ((=> @t338 @t380)))
% 0.45/0.64  (assume-push @p970 @t338)
% 0.45/0.64  (step @p718 :rule instantiate :premises (@p695) :args ((@list @t312)))
% 0.45/0.64  (step-pop @p971 :rule scope :premises (@p718))
% 0.45/0.64  (step @p719 :rule process_scope :premises (@p971) :args (@t380))
% 0.45/0.64  (step @p721 :rule eq_resolve :premises (@p719 @p716))
% 0.45/0.64  (step @p722 :rule eq_resolve :premises (@p721 @p711))
% 0.45/0.64  (step @p723 :rule implies_elim :premises (@p722))
% 0.45/0.64  (step @p724 :rule chain_m_resolution :premises (@p723 @p695) :args (@t383 @t329 @t384))
% 0.45/0.64  (step @p725 :rule cnf_or_pos :args (@t383))
% 0.45/0.64  (step @p726 :rule reordering :premises (@p725) :args ((or @t381 @t382 (not @t383))))
% 0.45/0.64  (step @p727 :rule chain_m_resolution :premises (@p726 @p724 @p689 @p669 @p652 @p634) :args ((not @t362) @t385 (@list @t383 @t372 @t369 @t364 @t327)))
% 0.45/0.64  (step @p728 :rule eq-symm :args (@t390 @t388))
% 0.45/0.64  (step @p729 :rule eq-refl :args (@t388))
% 0.45/0.64  (step @p730 :rule refl :args (@t388))
% 0.45/0.64  (step @p731 :rule eq-symm :args (@t386 @t312))
% 0.45/0.64  (step @p732 :rule beta-reduce :args ((= @t392 @t391)))
% 0.45/0.64  (step @p733 :rule trans :premises (@p732 @p731))
% 0.45/0.64  (step @p734 :rule cong :premises (@p733 @p730) :args ((= @t392 @t388)))
% 0.45/0.64  (step @p735 :rule trans :premises (@p734 @p729))
% 0.45/0.64  (step @p736 :rule refl :args (@t386))
% 0.45/0.64  (step @p737 :rule ho_cong :premises (@p567 @p736))
% 0.45/0.64  (step @p738 :rule cong :premises (@p737 @p730) :args ((= @t393 @t388)))
% 0.45/0.64  (step @p739 :rule trans :premises (@p738 @p735))
% 0.45/0.64  (step @p740 :rule true_elim :premises (@p739))
% 0.45/0.64  (step @p741 :rule eq-refl :args (@t390))
% 0.45/0.64  (step @p742 :rule refl :args (@t390))
% 0.45/0.64  (step @p743 :rule eq-symm :args (@t386 @t331))
% 0.45/0.64  (step @p744 :rule refl :args (@t334))
% 0.45/0.64  (step @p745 :rule nary_cong :premises (@p744 @p743) :args (@t394))
% 0.45/0.64  (step @p746 :rule nary_cong :premises (@p599 @p731) :args (@t395))
% 0.45/0.64  (step @p747 :rule nary_cong :premises (@p746 @p745) :args (@t396))
% 0.45/0.64  (step @p748 :rule beta-reduce :args ((= @t397 @t396)))
% 0.45/0.64  (step @p749 :rule trans :premises (@p748 @p747))
% 0.45/0.64  (step @p750 :rule cong :premises (@p749 @p742) :args ((= @t397 @t390)))
% 0.45/0.64  (step @p751 :rule trans :premises (@p750 @p741))
% 0.45/0.64  (step @p752 :rule ho_cong :premises (@p698 @p736))
% 0.45/0.64  (step @p753 :rule cong :premises (@p752 @p742) :args ((= @t398 @t390)))
% 0.45/0.64  (step @p754 :rule trans :premises (@p753 @p751))
% 0.45/0.64  (step @p755 :rule true_elim :premises (@p754))
% 0.45/0.64  (step @p756 :rule cong :premises (@p755 @p740) :args (@t399))
% 0.45/0.64  (step @p757 :rule trans :premises (@p756 @p728))
% 0.45/0.64  (step @p758 :rule cong :premises (@p757) :args (@t400))
% 0.45/0.64  (step @p759 :rule refl :args (@t362))
% 0.45/0.64  (step @p760 :rule nary_cong :premises (@p759 @p758) :args (@t401))
% 0.45/0.64  ; WARNING: add trust step for TRUST
% 0.45/0.64  ; trust TRUST THEORY_LEMMA
% 0.45/0.64  (step @p761 :rule trust :premises () :args (@t401))
% 0.45/0.64  (step @p762 :rule eq_resolve :premises (@p761 @p760))
% 0.45/0.64  (step @p763 :rule chain_m_resolution :premises (@p762 @p727) :args ((not @t402) @t358 (@list @t362)))
% 0.45/0.64  (step @p764 :rule cnf_and_pos :args (@t387 0))
% 0.45/0.64  (step @p765 :rule reordering :premises (@p764) :args ((or @t334 (not @t387))))
% 0.45/0.64  (step @p766 :rule cnf_and_neg :args (@t389))
% 0.45/0.64  (step @p767 :rule reordering :premises (@p766) :args ((or @t334 @t389 @t403)))
% 0.45/0.64  (step @p768 :rule cnf_equiv_neg2 :args (@t402))
% 0.45/0.64  (step @p769 :rule cnf_or_neg :args (@t390 0))
% 0.45/0.64  (step @p770 :rule chain_m_resolution :premises (@p769 @p768 @p767) :args ((or @t334 @t402 @t403) (@list true false) (@list @t390 @t389)))
% 0.45/0.64  (step @p771 :rule cnf_and_pos :args (@t389 1))
% 0.45/0.64  (step @p772 :rule reordering :premises (@p771) :args ((or @t388 (not @t389))))
% 0.45/0.64  (step @p773 :rule cnf_equiv_neg1 :args (@t402))
% 0.45/0.64  (step @p774 :rule reordering :premises (@p773) :args ((or @t388 @t390 @t402)))
% 0.45/0.64  (step @p775 :rule cnf_or_pos :args (@t390))
% 0.45/0.64  (step @p776 :rule reordering :premises (@p775) :args ((or @t389 @t387 (not @t390))))
% 0.45/0.64  (step @p777 :rule chain_m_resolution :premises (@p776 @p774 @p772 @p770 @p765) :args ((or @t334 @t402) (@list false true true true) (@list @t390 @t389 @t388 @t387)))
% 0.45/0.64  (step @p778 :rule chain_m_resolution :premises (@p777 @p763) :args (@t334 @t358 (@list @t402)))
% 0.45/0.64  (step @p779 :rule cnf_and_pos :args (@t405 0))
% 0.45/0.64  (step @p780 :rule reordering :premises (@p779) :args ((or @t333 @t406)))
% 0.45/0.64  (step @p781 :rule chain_m_resolution :premises (@p780 @p778) :args (@t406 @t358 (@list @t333)))
% 0.45/0.64  (step @p782 :rule eq-symm :args (@t409 @t410))
% 0.45/0.64  (step @p783 :rule refl :args (@t410))
% 0.45/0.64  (step @p784 :rule eq-refl :args (@t407))
% 0.45/0.64  (step @p785 :rule skolem_intro :args (@t408))
% 0.45/0.64  (step @p786 :rule refl :args (@t407))
% 0.45/0.64  (step @p787 :rule cong :premises (@p786 @p785) :args ((= @t407 @t408)))
% 0.45/0.64  (step @p788 :rule trans :premises (@p787 @p784))
% 0.45/0.64  (step @p789 :rule true_elim :premises (@p788))
% 0.45/0.64  (step @p790 :rule cong :premises (@p572 @p789) :args (@t411))
% 0.45/0.64  (step @p791 :rule cong :premises (@p790 @p783) :args (@t412))
% 0.45/0.64  (step @p792 :rule trans :premises (@p791 @p782))
% 0.45/0.64  (step @p793 :rule nary_cong :premises (@p611 @p611 @p792) :args (@t413))
% 0.45/0.64  (step @p794 :rule cong :premises (@p578 @p793) :args ((=> @t324 @t413)))
% 0.45/0.64  (step @p795 :rule eq-symm :args (@t410 @t411))
% 0.45/0.64  (step @p796 :rule nary_cong :premises (@p611 @p611 @p795) :args (@t414))
% 0.45/0.64  (step @p797 :rule cong :premises (@p578 @p796) :args ((=> @t324 @t414)))
% 0.45/0.64  (assume-push @p972 @t324)
% 0.45/0.64  (step @p799 :rule instantiate :premises (@p563) :args (@t415))
% 0.45/0.64  (step-pop @p973 :rule scope :premises (@p799))
% 0.45/0.64  (step @p800 :rule process_scope :premises (@p973) :args (@t414))
% 0.45/0.64  (step @p802 :rule eq_resolve :premises (@p800 @p797))
% 0.45/0.64  (step @p803 :rule eq_resolve :premises (@p802 @p794))
% 0.45/0.64  (step @p804 :rule implies_elim :premises (@p803))
% 0.45/0.64  (step @p805 :rule chain_m_resolution :premises (@p804 @p563) :args (@t417 @t329 @t330))
% 0.45/0.64  (step @p806 :rule bool-double-not-elim :args (@t340))
% 0.45/0.64  (step @p807 :rule nary_cong :premises (@p625 @p806) :args ((or @t342 (not @t341))))
% 0.45/0.64  (step @p808 :rule cnf_or_neg :args (@t342 1))
% 0.45/0.64  (step @p809 :rule eq_resolve :premises (@p808 @p807))
% 0.45/0.64  (step @p810 :rule reordering :premises (@p809) :args ((or @t340 @t342)))
% 0.45/0.64  (step @p811 :rule chain_m_resolution :premises (@p810 @p623) :args (@t340 @t358 @t359))
% 0.45/0.64  (step @p812 :rule cnf_or_pos :args (@t417))
% 0.45/0.64  (step @p813 :rule factoring :premises (@p812))
% 0.45/0.64  (step @p814 :rule reordering :premises (@p813) :args ((or @t341 @t416 (not @t417))))
% 0.45/0.64  (step @p815 :rule chain_m_resolution :premises (@p814 @p811 @p805) :args (@t416 @t360 (@list @t340 @t417)))
% 0.45/0.64  (assume-push @p974 @t416)
% 0.45/0.64  (assume-push @p975 @t418)
% 0.45/0.64  (assume-push @p976 @t418)
% 0.45/0.64  (assume-push @p977 @t416)
% 0.45/0.64  (step @p820 :rule symm :premises (@p975))
% 0.45/0.64  (step @p821 :rule cong :premises (@p572 @p820) :args (@t409))
% 0.45/0.64  (step @p822 :rule trans :premises (@p815 @p821))
% 0.45/0.64  (step-pop @p978 :rule scope :premises (@p822))
% 0.45/0.64  (step-pop @p979 :rule scope :premises (@p978))
% 0.45/0.64  (step @p823 :rule process_scope :premises (@p979) :args (@t419))
% 0.45/0.64  (step @p826 :rule and_intro :premises (@p975 @p815))
% 0.45/0.64  (step @p827 :rule modus_ponens :premises (@p826 @p823))
% 0.45/0.64  (step-pop @p980 :rule scope :premises (@p827))
% 0.45/0.64  (step-pop @p981 :rule scope :premises (@p980))
% 0.45/0.64  (step @p828 :rule process_scope :premises (@p981) :args (@t419))
% 0.45/0.64  (step @p831 :rule implies_elim :premises (@p828))
% 0.45/0.64  (step @p832 :rule cnf_and_neg :args (@t420))
% 0.45/0.64  (step @p833 :rule resolution :premises (@p832 @p831) :args (true @t420))
% 0.45/0.64  (step @p834 :rule refl :args (@t331))
% 0.45/0.64  (step @p835 :rule cong :premises (@p834 @p790) :args (@t421))
% 0.45/0.64  (step @p836 :rule nary_cong :premises (@p611 @p611 @p835) :args (@t422))
% 0.45/0.64  (step @p837 :rule cong :premises (@p657 @p836) :args ((=> @t368 @t422)))
% 0.45/0.64  (assume-push @p982 @t368)
% 0.45/0.64  (step @p839 :rule instantiate :premises (@p653) :args (@t415))
% 0.45/0.64  (step-pop @p983 :rule scope :premises (@p839))
% 0.45/0.64  (step @p840 :rule process_scope :premises (@p983) :args (@t422))
% 0.45/0.64  (step @p842 :rule eq_resolve :premises (@p840 @p837))
% 0.45/0.64  (step @p843 :rule implies_elim :premises (@p842))
% 0.45/0.64  (step @p844 :rule chain_m_resolution :premises (@p843 @p653) :args (@t424 @t329 @t371))
% 0.45/0.64  (step @p845 :rule cnf_or_pos :args (@t424))
% 0.45/0.64  (step @p846 :rule factoring :premises (@p845))
% 0.45/0.64  (step @p847 :rule reordering :premises (@p846) :args ((or @t341 @t423 (not @t424))))
% 0.45/0.64  (step @p848 :rule chain_m_resolution :premises (@p847 @p811 @p844) :args (@t423 @t360 (@list @t340 @t424)))
% 0.45/0.64  (assume-push @p984 @t423)
% 0.45/0.64  (assume-push @p985 @t418)
% 0.45/0.64  (assume-push @p986 @t423)
% 0.45/0.64  (assume-push @p987 @t418)
% 0.45/0.64  (step @p853 :rule true_intro :premises (@p848))
% 0.45/0.64  (step @p854 :rule cong :premises (@p572 @p985) :args (@t363))
% 0.45/0.64  (step @p855 :rule cong :premises (@p834 @p854) :args (@t425))
% 0.45/0.64  (step @p856 :rule trans :premises (@p855 @p853))
% 0.45/0.64  (step @p857 :rule true_elim :premises (@p856))
% 0.45/0.64  (step-pop @p988 :rule scope :premises (@p857))
% 0.45/0.64  (step-pop @p989 :rule scope :premises (@p988))
% 0.45/0.64  (step @p858 :rule process_scope :premises (@p989) :args (@t425))
% 0.45/0.64  (step @p861 :rule and_intro :premises (@p848 @p985))
% 0.45/0.64  (step @p862 :rule modus_ponens :premises (@p861 @p858))
% 0.45/0.64  (step-pop @p990 :rule scope :premises (@p862))
% 0.45/0.64  (step-pop @p991 :rule scope :premises (@p990))
% 0.45/0.64  (step @p863 :rule process_scope :premises (@p991) :args (@t425))
% 0.45/0.64  (step @p866 :rule implies_elim :premises (@p863))
% 0.45/0.64  (step @p867 :rule cnf_and_neg :args (@t426))
% 0.45/0.64  (step @p868 :rule resolution :premises (@p867 @p866) :args (true @t426))
% 0.45/0.64  (step @p869 :rule eq-symm :args (@t363 @t410))
% 0.45/0.64  (step @p870 :rule cong :premises (@p703 @p783) :args (@t427))
% 0.45/0.64  (step @p871 :rule trans :premises (@p870 @p869))
% 0.45/0.64  (step @p872 :rule cong :premises (@p871) :args (@t428))
% 0.45/0.64  (step @p873 :rule cong :premises (@p834 @p703) :args (@t429))
% 0.45/0.64  (step @p874 :rule cong :premises (@p873) :args (@t430))
% 0.45/0.64  (step @p875 :rule nary_cong :premises (@p874 @p872) :args (@t431))
% 0.45/0.64  (step @p876 :rule cong :premises (@p710 @p875) :args ((=> @t338 @t431)))
% 0.45/0.64  (step @p877 :rule eq-symm :args (@t410 @t337))
% 0.45/0.64  (step @p878 :rule cong :premises (@p877) :args (@t432))
% 0.45/0.64  (step @p879 :rule refl :args (@t430))
% 0.45/0.64  (step @p880 :rule nary_cong :premises (@p879 @p878) :args (@t433))
% 0.45/0.64  (step @p881 :rule cong :premises (@p710 @p880) :args ((=> @t338 @t433)))
% 0.45/0.64  (assume-push @p992 @t338)
% 0.45/0.64  (step @p883 :rule instantiate :premises (@p695) :args ((@list @t331)))
% 0.45/0.64  (step-pop @p993 :rule scope :premises (@p883))
% 0.45/0.64  (step @p884 :rule process_scope :premises (@p993) :args (@t433))
% 0.45/0.64  (step @p886 :rule eq_resolve :premises (@p884 @p881))
% 0.45/0.64  (step @p887 :rule eq_resolve :premises (@p886 @p876))
% 0.45/0.64  (step @p888 :rule implies_elim :premises (@p887))
% 0.45/0.64  (step @p889 :rule chain_m_resolution :premises (@p888 @p695) :args (@t436 @t329 @t384))
% 0.45/0.64  (step @p890 :rule cnf_or_pos :args (@t436))
% 0.45/0.64  (step @p891 :rule reordering :premises (@p890) :args ((or @t434 @t435 (not @t436))))
% 0.45/0.64  (step @p892 :rule chain_m_resolution :premises (@p891 @p889 @p868 @p848 @p833 @p815) :args ((not @t418) @t385 (@list @t436 @t425 @t423 @t419 @t416)))
% 0.45/0.64  (step @p893 :rule eq-symm :args (@t439 @t437))
% 0.45/0.64  (step @p894 :rule eq-refl :args (@t437))
% 0.45/0.64  (step @p895 :rule refl :args (@t437))
% 0.45/0.64  (step @p896 :rule eq-symm :args (@t404 @t331))
% 0.45/0.64  (step @p897 :rule beta-reduce :args ((= @t441 @t440)))
% 0.45/0.64  (step @p898 :rule trans :premises (@p897 @p896))
% 0.45/0.64  (step @p899 :rule cong :premises (@p898 @p895) :args ((= @t441 @t437)))
% 0.45/0.64  (step @p900 :rule trans :premises (@p899 @p894))
% 0.45/0.64  (step @p901 :rule refl :args (@t404))
% 0.45/0.64  (step @p902 :rule ho_cong :premises (@p785 @p901))
% 0.45/0.64  (step @p903 :rule cong :premises (@p902 @p895) :args ((= @t442 @t437)))
% 0.45/0.64  (step @p904 :rule trans :premises (@p903 @p900))
% 0.45/0.64  (step @p905 :rule true_elim :premises (@p904))
% 0.45/0.64  (step @p906 :rule eq-refl :args (@t439))
% 0.45/0.64  (step @p907 :rule refl :args (@t439))
% 0.45/0.64  (step @p908 :rule nary_cong :premises (@p744 @p896) :args (@t443))
% 0.45/0.64  (step @p909 :rule eq-symm :args (@t404 @t312))
% 0.45/0.64  (step @p910 :rule nary_cong :premises (@p599 @p909) :args (@t444))
% 0.45/0.64  (step @p911 :rule nary_cong :premises (@p910 @p908) :args (@t445))
% 0.45/0.64  (step @p912 :rule beta-reduce :args ((= @t446 @t445)))
% 0.45/0.64  (step @p913 :rule trans :premises (@p912 @p911))
% 0.45/0.64  (step @p914 :rule cong :premises (@p913 @p907) :args ((= @t446 @t439)))
% 0.45/0.64  (step @p915 :rule trans :premises (@p914 @p906))
% 0.45/0.64  (step @p916 :rule ho_cong :premises (@p698 @p901))
% 0.45/0.64  (step @p917 :rule cong :premises (@p916 @p907) :args ((= @t447 @t439)))
% 0.45/0.64  (step @p918 :rule trans :premises (@p917 @p915))
% 0.45/0.64  (step @p919 :rule true_elim :premises (@p918))
% 0.45/0.64  (step @p920 :rule cong :premises (@p919 @p905) :args (@t448))
% 0.45/0.64  (step @p921 :rule trans :premises (@p920 @p893))
% 0.45/0.64  (step @p922 :rule cong :premises (@p921) :args (@t449))
% 0.45/0.64  (step @p923 :rule refl :args (@t418))
% 0.45/0.64  (step @p924 :rule nary_cong :premises (@p923 @p922) :args (@t450))
% 0.45/0.64  ; trust TRUST THEORY_LEMMA
% 0.45/0.64  (step @p925 :rule trust :premises () :args (@t450))
% 0.45/0.64  (step @p926 :rule eq_resolve :premises (@p925 @p924))
% 0.45/0.64  (step @p927 :rule chain_m_resolution :premises (@p926 @p892) :args ((not @t451) @t358 (@list @t418)))
% 0.45/0.64  (step @p928 :rule cnf_equiv_neg2 :args (@t451))
% 0.45/0.64  (step @p929 :rule refl :args (@t452))
% 0.45/0.64  (step @p930 :rule bool-double-not-elim :args (@t333))
% 0.45/0.64  (step @p931 :rule refl :args (@t438))
% 0.45/0.64  (step @p932 :rule nary_cong :premises (@p931 @p930 @p929) :args ((or @t438 (not @t334) @t452)))
% 0.45/0.64  (step @p933 :rule cnf_and_neg :args (@t438))
% 0.45/0.64  (step @p934 :rule eq_resolve :premises (@p933 @p932))
% 0.45/0.64  (step @p935 :rule reordering :premises (@p934) :args ((or @t333 @t438 @t452)))
% 0.45/0.64  (step @p936 :rule cnf_or_neg :args (@t439 1))
% 0.45/0.64  (step @p937 :rule chain_m_resolution :premises (@p936 @p935 @p928) :args ((or @t333 @t451 @t452) (@list false true) (@list @t438 @t439)))
% 0.45/0.64  (step @p938 :rule chain_m_resolution :premises (@p937 @p778 @p927) :args (@t452 @t453 (@list @t333 @t451)))
% 0.45/0.64  (step @p939 :rule cnf_and_pos :args (@t438 1))
% 0.45/0.64  (step @p940 :rule reordering :premises (@p939) :args ((or @t437 @t454)))
% 0.45/0.64  (step @p941 :rule chain_m_resolution :premises (@p940 @p938) :args (@t454 @t358 (@list @t437)))
% 0.45/0.64  (step @p942 :rule cnf_equiv_neg1 :args (@t451))
% 0.45/0.64  (step @p943 :rule reordering :premises (@p942) :args ((or @t437 @t439 @t451)))
% 0.45/0.64  (step @p944 :rule chain_m_resolution :premises (@p943 @p938 @p927) :args (@t439 @t453 (@list @t437 @t451)))
% 0.45/0.64  (step @p945 :rule cnf_or_pos :args (@t439))
% 0.45/0.64  (step @p946 :rule reordering :premises (@p945) :args ((or @t405 @t438 (not @t439))))
% 0.45/0.64  (step @p947 false :rule chain_m_resolution :premises (@p946 @p944 @p941 @p781) :args (false (@list false true true) (@list @t439 @t438 @t405)))
% 0.45/0.64  )
% 0.45/0.64  % SZS output end Proof
% 0.45/0.64  % cvc5 exiting
%------------------------------------------------------------------------------