cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO174^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 09:12:10 AM UTC 2026

% Result   : Theorem 3.01s 3.21s
% Output   : Proof 3.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO174^5 : TPTP v9.2.1. Released v4.0.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n016.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Jun  3 00:00:24 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.30/0.49  %----Proving TH0
% 3.01/3.21  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 3.01/3.21  % SZS status Theorem
% 3.01/3.21  % SZS output start Proof
% 3.01/3.21  (
% 3.01/3.21  (declare-sort $$unsorted 0)
% 3.01/3.21  (declare-const tptp.cR (-> $$unsorted Bool))
% 3.01/3.21  (declare-const tptp.cS (-> $$unsorted Bool))
% 3.01/3.21  (declare-const tptp.cP (-> $$unsorted Bool))
% 3.01/3.21  (declare-const tptp.cQ (-> $$unsorted Bool))
% 3.01/3.21  (define @t1 () (@var "Xy" $$unsorted))
% 3.01/3.21  (define @t2 () (_ tptp.cQ @t1))
% 3.01/3.21  (define @t3 () (@list @t1))
% 3.01/3.21  (define @t4 () (forall @t3 @t2))
% 3.01/3.21  (define @t5 () (@var "Xx" $$unsorted))
% 3.01/3.21  (define @t6 () (_ tptp.cP @t5))
% 3.01/3.21  (define @t7 () (@list @t5))
% 3.01/3.21  (define @t8 () (exists @t7 @t6))
% 3.01/3.21  (define @t9 () (= @t8 @t4))
% 3.01/3.21  (define @t10 () (_ tptp.cS @t1))
% 3.01/3.21  (define @t11 () (_ tptp.cS @t5))
% 3.01/3.21  (define @t12 () (forall @t3 (= @t11 @t10)))
% 3.01/3.21  (define @t13 () (exists @t7 @t12))
% 3.01/3.21  (define @t14 () (= @t13 @t9))
% 3.01/3.21  (define @t15 () (_ tptp.cP @t1))
% 3.01/3.21  (define @t16 () (forall @t3 @t15))
% 3.01/3.21  (define @t17 () (exists @t7 @t11))
% 3.01/3.21  (define @t18 () (= @t17 @t16))
% 3.01/3.21  (define @t19 () (_ tptp.cR @t1))
% 3.01/3.21  (define @t20 () (_ tptp.cR @t5))
% 3.01/3.21  (define @t21 () (forall @t3 (= @t20 @t19)))
% 3.01/3.21  (define @t22 () (exists @t7 @t21))
% 3.01/3.21  (define @t23 () (= @t22 @t18))
% 3.01/3.21  (define @t24 () (= @t23 @t14))
% 3.01/3.21  (define @t25 () (forall @t3 @t10))
% 3.01/3.21  (define @t26 () (exists @t7 @t20))
% 3.01/3.21  (define @t27 () (= @t26 @t25))
% 3.01/3.21  (define @t28 () (_ tptp.cQ @t5))
% 3.01/3.21  (define @t29 () (= @t28 @t2))
% 3.01/3.21  (define @t30 () (forall @t3 @t29))
% 3.01/3.21  (define @t31 () (exists @t7 @t30))
% 3.01/3.21  (define @t32 () (= @t31 @t27))
% 3.01/3.21  (define @t33 () (forall @t3 @t19))
% 3.01/3.21  (define @t34 () (exists @t7 @t28))
% 3.01/3.21  (define @t35 () (= @t34 @t33))
% 3.01/3.21  (define @t36 () (= @t6 @t15))
% 3.01/3.21  (define @t37 () (forall @t3 @t36))
% 3.01/3.21  (define @t38 () (exists @t7 @t37))
% 3.01/3.21  (define @t39 () (= @t38 @t35))
% 3.01/3.21  (define @t40 () (= @t39 @t32))
% 3.01/3.21  (define @t41 () (= @t40 @t24))
% 3.01/3.21  (define @t42 () (not @t41))
% 3.01/3.21  (define @t43 () (tptp.cQ @t5))
% 3.01/3.21  (define @t44 () (forall @t7 (not @t43)))
% 3.01/3.21  (define @t45 () (@quantifiers_skolemize @t44 0))
% 3.01/3.21  (define @t46 () (tptp.cQ @t45))
% 3.01/3.21  (define @t47 () (not @t44))
% 3.01/3.21  (define @t48 () (not @t47))
% 3.01/3.21  (define @t49 () (not @t46))
% 3.01/3.21  (define @t50 () (not @t49))
% 3.01/3.21  (define @t51 () (tptp.cR @t1))
% 3.01/3.21  (define @t52 () (forall @t3 @t51))
% 3.01/3.21  (define @t53 () (@quantifiers_skolemize @t52 0))
% 3.01/3.21  (define @t54 () (tptp.cR @t53))
% 3.01/3.21  (define @t55 () (not @t54))
% 3.01/3.21  (define @t56 () (not @t52))
% 3.01/3.21  (define @t57 () (= @t47 @t52))
% 3.01/3.21  (define @t58 () (not @t57))
% 3.01/3.21  (define @t59 () (tptp.cP @t1))
% 3.01/3.21  (define @t60 () (tptp.cP @t5))
% 3.01/3.21  (define @t61 () (forall @t3 (= @t60 @t59)))
% 3.01/3.21  (define @t62 () (forall @t7 (not @t61)))
% 3.01/3.21  (define @t63 () (tptp.cP (@quantifiers_skolemize @t62 0)))
% 3.01/3.21  (define @t64 () (forall @t3 (= @t59 @t63)))
% 3.01/3.21  (define @t65 () (not @t62))
% 3.01/3.21  (define @t66 () (not @t65))
% 3.01/3.21  (define @t67 () (forall @t3 (= @t63 @t59)))
% 3.01/3.21  (define @t68 () (not (not @t67)))
% 3.01/3.21  (define @t69 () (forall @t7 (not @t60)))
% 3.01/3.21  (define @t70 () (@quantifiers_skolemize @t69 0))
% 3.01/3.21  (define @t71 () (tptp.cP @t70))
% 3.01/3.21  (define @t72 () (= @t71 @t63))
% 3.01/3.21  (define @t73 () (@list @t70))
% 3.01/3.21  (define @t74 () (forall @t3 @t59))
% 3.01/3.21  (define @t75 () (@quantifiers_skolemize @t74 0))
% 3.01/3.21  (define @t76 () (tptp.cP @t75))
% 3.01/3.21  (define @t77 () (= @t76 @t63))
% 3.01/3.21  (define @t78 () (@const 0 $$unsorted))
% 3.01/3.21  (define @t79 () (@list @t78))
% 3.01/3.21  (define @t80 () (tptp.cR @t78))
% 3.01/3.21  (define @t81 () (= @t65 @t57))
% 3.01/3.21  (define @t82 () (@const 1 $$unsorted))
% 3.01/3.21  (define @t83 () (@list @t82))
% 3.01/3.21  (define @t84 () (tptp.cR @t82))
% 3.01/3.21  (define @t85 () (tptp.cS @t82))
% 3.01/3.21  (define @t86 () (tptp.cS @t1))
% 3.01/3.21  (define @t87 () (forall @t3 (= @t86 @t85)))
% 3.01/3.21  (define @t88 () (@quantifiers_skolemize @t87 0))
% 3.01/3.21  (define @t89 () (tptp.cR @t88))
% 3.01/3.21  (define @t90 () (forall @t3 (= @t51 @t89)))
% 3.01/3.21  (define @t91 () (@quantifiers_skolemize @t90 0))
% 3.01/3.21  (define @t92 () (@list @t91))
% 3.01/3.21  (define @t93 () (tptp.cR @t91))
% 3.01/3.21  (define @t94 () (forall @t3 @t86))
% 3.01/3.21  (define @t95 () (@quantifiers_skolemize @t94 0))
% 3.01/3.21  (define @t96 () (@list @t95))
% 3.01/3.21  (define @t97 () (tptp.cR @t95))
% 3.01/3.21  (define @t98 () (@list @t88))
% 3.01/3.21  (define @t99 () (= @t89 @t93))
% 3.01/3.21  (define @t100 () (not @t99))
% 3.01/3.21  (define @t101 () (not @t90))
% 3.01/3.21  (define @t102 () (not (= @t93 @t89)))
% 3.01/3.21  (define @t103 () (tptp.cR @t5))
% 3.01/3.21  (define @t104 () (forall @t3 (= @t51 @t103)))
% 3.01/3.21  (define @t105 () (forall @t7 (not @t104)))
% 3.01/3.21  (define @t106 () (@quantifiers_skolemize @t105 0))
% 3.01/3.21  (define @t107 () (tptp.cR @t106))
% 3.01/3.21  (define @t108 () (forall @t3 (= @t51 @t107)))
% 3.01/3.21  (define @t109 () (not @t105))
% 3.01/3.21  (define @t110 () (not @t109))
% 3.01/3.21  (define @t111 () (not @t108))
% 3.01/3.21  (define @t112 () (not @t111))
% 3.01/3.21  (define @t113 () (= @t80 @t107))
% 3.01/3.21  (define @t114 () (= @t107 @t80))
% 3.01/3.21  (define @t115 () (not @t80))
% 3.01/3.21  (define @t116 () (forall @t7 (not @t103)))
% 3.01/3.21  (define @t117 () (not @t107))
% 3.01/3.21  (define @t118 () (tptp.cQ @t1))
% 3.01/3.21  (define @t119 () (forall @t3 (= @t43 @t118)))
% 3.01/3.21  (define @t120 () (forall @t7 (not @t119)))
% 3.01/3.21  (define @t121 () (@quantifiers_skolemize @t120 0))
% 3.01/3.21  (define @t122 () (tptp.cQ @t121))
% 3.01/3.21  (define @t123 () (forall @t3 (= @t118 @t122)))
% 3.01/3.21  (define @t124 () (not @t120))
% 3.01/3.21  (define @t125 () (not @t124))
% 3.01/3.21  (define @t126 () (forall @t3 (= @t122 @t118)))
% 3.01/3.21  (define @t127 () (not (not @t126)))
% 3.01/3.21  (define @t128 () (not @t94))
% 3.01/3.21  (define @t129 () (not @t116))
% 3.01/3.21  (define @t130 () (= @t129 @t94))
% 3.01/3.21  (define @t131 () (not @t129))
% 3.01/3.21  (define @t132 () (forall @t3 @t118))
% 3.01/3.21  (define @t133 () (@quantifiers_skolemize @t132 0))
% 3.01/3.21  (define @t134 () (@list @t133))
% 3.01/3.21  (define @t135 () (tptp.cS @t133))
% 3.01/3.21  (define @t136 () (tptp.cS @t88))
% 3.01/3.21  (define @t137 () (not @t130))
% 3.01/3.21  (define @t138 () (= @t124 @t130))
% 3.01/3.21  (define @t139 () (tptp.cS @t5))
% 3.01/3.21  (define @t140 () (forall @t7 (not @t139)))
% 3.01/3.21  (define @t141 () (= @t85 @t84))
% 3.01/3.21  (define @t142 () (not @t84))
% 3.01/3.21  (define @t143 () (not @t85))
% 3.01/3.21  (define @t144 () (= @t85 @t136))
% 3.01/3.21  (define @t145 () (not @t136))
% 3.01/3.21  (define @t146 () (= @t81 @t138))
% 3.01/3.21  (define @t147 () (= tptp.cS tptp.cR))
% 3.01/3.21  (define @t148 () (not @t144))
% 3.01/3.21  (define @t149 () (not @t87))
% 3.01/3.21  (define @t150 () (not (= @t136 @t85)))
% 3.01/3.21  (define @t151 () (not @t6))
% 3.01/3.21  (define @t152 () (forall @t7 @t151))
% 3.01/3.21  (define @t153 () (not @t152))
% 3.01/3.21  (define @t154 () (forall @t3 (= @t86 @t139)))
% 3.01/3.21  (define @t155 () (forall @t7 (not @t154)))
% 3.01/3.21  (define @t156 () (not @t155))
% 3.01/3.21  (define @t157 () (= @t10 @t11))
% 3.01/3.21  (define @t158 () (not @t11))
% 3.01/3.21  (define @t159 () (forall @t7 @t158))
% 3.01/3.21  (define @t160 () (not @t159))
% 3.01/3.21  (define @t161 () (= @t19 @t20))
% 3.01/3.21  (define @t162 () (not @t20))
% 3.01/3.21  (define @t163 () (forall @t7 @t162))
% 3.01/3.21  (define @t164 () (not @t163))
% 3.01/3.21  (define @t165 () (not @t28))
% 3.01/3.21  (define @t166 () (forall @t7 @t165))
% 3.01/3.21  (define @t167 () (not @t166))
% 3.01/3.21  (define @t168 () (not @t74))
% 3.01/3.21  (define @t169 () (not @t140))
% 3.01/3.21  (define @t170 () (= @t169 @t74))
% 3.01/3.21  (define @t171 () (not @t169))
% 3.01/3.21  (define @t172 () (not @t170))
% 3.01/3.21  (define @t173 () (= @t109 @t170))
% 3.01/3.21  (define @t174 () (not @t71))
% 3.01/3.21  (define @t175 () (not @t69))
% 3.01/3.21  (define @t176 () (= @t175 @t132))
% 3.01/3.21  (define @t177 () (= @t156 @t176))
% 3.01/3.21  (define @t178 () (= @t173 @t177))
% 3.01/3.21  (define @t179 () (not @t132))
% 3.01/3.21  (define @t180 () (not @t175))
% 3.01/3.21  (define @t181 () (not @t176))
% 3.01/3.21  (define @t182 () (not @t156))
% 3.01/3.21  (define @t183 () (@list @t176 @t177 @t69 @t173 @t71 @t170))
% 3.01/3.21  (define @t184 () (not @t76))
% 3.01/3.21  (define @t185 () (not @t173))
% 3.01/3.21  (define @t186 () (= @t63 @t76))
% 3.01/3.21  (define @t187 () (not @t186))
% 3.01/3.21  (define @t188 () (= @t63 @t71))
% 3.01/3.21  (define @t189 () (not @t188))
% 3.01/3.21  (define @t190 () (not @t177))
% 3.01/3.21  (define @t191 () (not @t174))
% 3.01/3.21  (define @t192 () (and @t147 @t136))
% 3.01/3.21  (define @t193 () (not @t93))
% 3.01/3.21  (define @t194 () (not @t81))
% 3.01/3.21  (define @t195 () (tptp.cS @t95))
% 3.01/3.21  (define @t196 () (not @t195))
% 3.01/3.21  (define @t197 () (not @t138))
% 3.01/3.21  (define @t198 () (not @t97))
% 3.01/3.21  (define @t199 () (not @t147))
% 3.01/3.21  (define @t200 () (and @t196 @t147 @t97))
% 3.01/3.21  (define @t201 () (not @t146))
% 3.01/3.21  (define @t202 () (@quantifiers_skolemize @t140 0))
% 3.01/3.21  (define @t203 () (tptp.cS @t202))
% 3.01/3.21  (define @t204 () (not @t203))
% 3.01/3.21  (define @t205 () (not @t204))
% 3.01/3.21  (define @t206 () (@quantifiers_skolemize @t155 0))
% 3.01/3.21  (define @t207 () (tptp.cS @t206))
% 3.01/3.21  (define @t208 () (forall @t3 (= @t86 @t207)))
% 3.01/3.21  (define @t209 () (= @t203 @t207))
% 3.01/3.21  (define @t210 () (= @t85 @t207))
% 3.01/3.21  (define @t211 () (= @t207 @t85))
% 3.01/3.21  (define @t212 () (not @t211))
% 3.01/3.21  (define @t213 () (not @t207))
% 3.01/3.21  (define @t214 () (not @t208))
% 3.01/3.21  (define @t215 () (not @t214))
% 3.01/3.21  (define @t216 () (not @t178))
% 3.01/3.21  (define @t217 () (@list false false true true true true true true true false true false))
% 3.01/3.21  (define @t218 () (@list @t176 @t69 @t177 @t71 @t173 @t63 @t170 @t76 @t74 @t155 @t208 @t203))
% 3.01/3.21  (define @t219 () (@list @t176 @t69 @t177 @t71 @t173 @t63 @t170 @t76))
% 3.01/3.21  (define @t220 () (= @t46 @t122))
% 3.01/3.21  (define @t221 () (tptp.cQ @t133))
% 3.01/3.21  (define @t222 () (= @t221 @t122))
% 3.01/3.21  (define @t223 () (not @t221))
% 3.01/3.21  (define @t224 () (= @t122 @t221))
% 3.01/3.21  (define @t225 () (not @t122))
% 3.01/3.21  (define @t226 () (@const 2 $$unsorted))
% 3.01/3.21  (define @t227 () (@list @t226))
% 3.01/3.21  (define @t228 () (tptp.cR @t226))
% 3.01/3.21  (define @t229 () (tptp.cQ @t88))
% 3.01/3.21  (define @t230 () (forall @t3 (= @t229 @t118)))
% 3.01/3.21  (define @t231 () (not @t230))
% 3.01/3.21  (define @t232 () (forall @t3 (= @t118 @t229)))
% 3.01/3.21  (define @t233 () (@quantifiers_skolemize @t232 0))
% 3.01/3.21  (define @t234 () (tptp.cQ @t233))
% 3.01/3.21  (define @t235 () (= @t229 @t234))
% 3.01/3.21  (define @t236 () (not @t235))
% 3.01/3.21  (define @t237 () (not @t232))
% 3.01/3.21  (define @t238 () (not (= @t234 @t229)))
% 3.01/3.21  (define @t239 () (@list @t233))
% 3.01/3.21  (define @t240 () (tptp.cR @t233))
% 3.01/3.21  (define @t241 () (@list true false))
% 3.01/3.21  (define @t242 () (@list @t229 @t234))
% 3.01/3.21  (define @t243 () (tptp.cP @t226))
% 3.01/3.21  (define @t244 () (= @t243 @t228))
% 3.01/3.21  (define @t245 () (not @t228))
% 3.01/3.21  (define @t246 () (= tptp.cP tptp.cR))
% 3.01/3.21  (define @t247 () (tptp.cQ @t78))
% 3.01/3.21  (define @t248 () (tptp.cP @t78))
% 3.01/3.21  (define @t249 () (and @t80 @t246))
% 3.01/3.21  (define @t250 () (not @t246))
% 3.01/3.21  (define @t251 () (= @t247 @t248))
% 3.01/3.21  (define @t252 () (= tptp.cQ tptp.cP))
% 3.01/3.21  (define @t253 () (and @t252 @t246 @t240))
% 3.01/3.21  (define @t254 () (not @t240))
% 3.01/3.21  (define @t255 () (and @t252 @t246 @t89))
% 3.01/3.21  (define @t256 () (not @t89))
% 3.01/3.21  (define @t257 () (@quantifiers_skolemize @t208 0))
% 3.01/3.21  (define @t258 () (@list @t257))
% 3.01/3.21  (define @t259 () (tptp.cS @t257))
% 3.01/3.21  (define @t260 () (@list @t177 @t176 @t173 @t69 @t170 @t71))
% 3.01/3.21  (define @t261 () (@quantifiers_skolemize @t116 0))
% 3.01/3.21  (define @t262 () (tptp.cR @t261))
% 3.01/3.21  (define @t263 () (not @t262))
% 3.01/3.21  (define @t264 () (not @t263))
% 3.01/3.21  (define @t265 () (= @t262 @t107))
% 3.01/3.21  (define @t266 () (= @t107 @t54))
% 3.01/3.21  (define @t267 () (= @t54 @t107))
% 3.01/3.21  (define @t268 () (@list true false false))
% 3.01/3.21  (define @t269 () (= @t207 @t195))
% 3.01/3.21  (define @t270 () (= @t195 @t207))
% 3.01/3.21  (define @t271 () (@list @t177 @t176 @t173 @t69 @t170 @t71 @t74 @t155 @t208 @t203))
% 3.01/3.21  (define @t272 () (= @t207 @t259))
% 3.01/3.21  (define @t273 () (not @t272))
% 3.01/3.21  (define @t274 () (not (= @t259 @t207)))
% 3.01/3.21  (define @t275 () (@list @t177 @t176 @t173 @t69 @t170 @t71 @t155 @t87 @t144 @t136 @t85 @t211 @t208 @t272 @t207 @t259))
% 3.01/3.21  (define @t276 () (@list @t121))
% 3.01/3.21  (define @t277 () (not @t234))
% 3.01/3.21  (define @t278 () (not @t229))
% 3.01/3.21  (define @t279 () (tptp.cP @t82))
% 3.01/3.21  (define @t280 () (forall @t3 (= @t279 @t59)))
% 3.01/3.21  (define @t281 () (not @t280))
% 3.01/3.21  (define @t282 () (forall @t3 (= @t59 @t279)))
% 3.01/3.21  (define @t283 () (not @t282))
% 3.01/3.21  (define @t284 () (@list false))
% 3.01/3.21  (define @t285 () (@quantifiers_skolemize @t282 0))
% 3.01/3.21  (define @t286 () (tptp.cP @t285))
% 3.01/3.21  (define @t287 () (= @t279 @t286))
% 3.01/3.21  (define @t288 () (not @t287))
% 3.01/3.21  (define @t289 () (not (= @t286 @t279)))
% 3.01/3.21  (define @t290 () (@list true))
% 3.01/3.21  (define @t291 () (@list @t285))
% 3.01/3.21  (define @t292 () (@list true true false))
% 3.01/3.21  (define @t293 () (@list @t177 @t155 @t173 @t208 @t170 @t74 @t203))
% 3.01/3.21  (define @t294 () (@list @t144 @t87 @t85 @t155 @t211 @t177 @t208 @t173 @t272 @t170 @t74 @t136 @t259 @t207))
% 3.01/3.21  (define @t295 () (@list @t44))
% 3.01/3.21  (define @t296 () (@list true true))
% 3.01/3.21  (define @t297 () (@list false true))
% 3.01/3.21  (define @t298 () (@list @t116))
% 3.01/3.21  (assume @p1 @t42)
% 3.01/3.21  (assume @p2 true)
% 3.01/3.21  (step @p3 :rule refl :args (@t46))
% 3.01/3.21  (step @p4 :rule bool-double-not-elim :args (@t44))
% 3.01/3.21  (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t48 @t46)))
% 3.01/3.21  (step @p6 :rule bool-double-not-elim :args (@t46))
% 3.01/3.21  (step @p7 :rule refl :args (@t47))
% 3.01/3.21  (step @p8 :rule cong :premises (@p7 @p6) :args ((=> @t47 @t50)))
% 3.01/3.21  (assume-push @p994 @t47)
% 3.01/3.21  (step @p10 :rule skolemize :premises (@p994))
% 3.01/3.21  (step-pop @p995 :rule scope :premises (@p10))
% 3.01/3.21  (step @p11 :rule process_scope :premises (@p995) :args (@t50))
% 3.01/3.21  (step @p13 :rule eq_resolve :premises (@p11 @p8))
% 3.01/3.21  (step @p14 :rule implies_elim :premises (@p13))
% 3.01/3.21  (step @p15 :rule eq_resolve :premises (@p14 @p5))
% 3.01/3.21  (step @p16 :rule refl :args (@t55))
% 3.01/3.21  (step @p17 :rule bool-double-not-elim :args (@t52))
% 3.01/3.21  (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t56) @t55)))
% 3.01/3.21  (assume-push @p996 @t56)
% 3.01/3.21  (step @p20 :rule skolemize :premises (@p996))
% 3.01/3.21  (step-pop @p997 :rule scope :premises (@p20))
% 3.01/3.21  (step @p21 :rule process_scope :premises (@p997) :args (@t55))
% 3.01/3.21  (step @p23 :rule implies_elim :premises (@p21))
% 3.01/3.21  (step @p24 :rule eq_resolve :premises (@p23 @p18))
% 3.01/3.21  (step @p25 :rule refl :args (@t52))
% 3.01/3.21  (step @p26 :rule refl :args (@t58))
% 3.01/3.21  (step @p27 :rule nary_cong :premises (@p26 @p4 @p25) :args ((or @t58 @t48 @t52)))
% 3.01/3.21  (step @p28 :rule cnf_equiv_pos1 :args (@t57))
% 3.01/3.21  (step @p29 :rule eq_resolve :premises (@p28 @p27))
% 3.01/3.21  (step @p30 :rule reordering :premises (@p29) :args ((or @t44 @t52 @t58)))
% 3.01/3.21  (step @p31 :rule refl :args (@t64))
% 3.01/3.21  (step @p32 :rule bool-double-not-elim :args (@t62))
% 3.01/3.21  (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t66 @t64)))
% 3.01/3.21  (step @p34 :rule eq-symm :args (@t63 @t59))
% 3.01/3.21  (step @p35 :rule cong :premises (@p34) :args (@t67))
% 3.01/3.21  (step @p36 :rule bool-double-not-elim :args (@t67))
% 3.01/3.21  (step @p37 :rule trans :premises (@p36 @p35))
% 3.01/3.21  (step @p38 :rule refl :args (@t65))
% 3.01/3.21  (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t65 @t68)))
% 3.01/3.21  (assume-push @p998 @t65)
% 3.01/3.21  (step @p41 :rule skolemize :premises (@p998))
% 3.01/3.21  (step-pop @p999 :rule scope :premises (@p41))
% 3.01/3.21  (step @p42 :rule process_scope :premises (@p999) :args (@t68))
% 3.01/3.21  (step @p44 :rule eq_resolve :premises (@p42 @p39))
% 3.01/3.21  (step @p45 :rule implies_elim :premises (@p44))
% 3.01/3.21  (step @p46 :rule eq_resolve :premises (@p45 @p33))
% 3.01/3.21  (step @p47 :rule eq-symm :args (@t71 @t63))
% 3.01/3.21  (step @p48 :rule cong :premises (@p31 @p47) :args ((=> @t64 @t72)))
% 3.01/3.21  (assume-push @p1000 @t64)
% 3.01/3.21  (step @p50 :rule instantiate :premises (@p1000) :args (@t73))
% 3.01/3.21  (step-pop @p1001 :rule scope :premises (@p50))
% 3.01/3.21  (step @p51 :rule process_scope :premises (@p1001) :args (@t72))
% 3.01/3.21  (step @p53 :rule eq_resolve :premises (@p51 @p48))
% 3.01/3.21  (step @p54 :rule implies_elim :premises (@p53))
% 3.01/3.21  (step @p55 :rule eq-symm :args (@t76 @t63))
% 3.01/3.21  (step @p56 :rule cong :premises (@p31 @p55) :args ((=> @t64 @t77)))
% 3.01/3.21  (assume-push @p1002 @t64)
% 3.01/3.21  (step @p58 :rule instantiate :premises (@p1002) :args ((@list @t75)))
% 3.01/3.21  (step-pop @p1003 :rule scope :premises (@p58))
% 3.01/3.21  (step @p59 :rule process_scope :premises (@p1003) :args (@t77))
% 3.01/3.21  (step @p61 :rule eq_resolve :premises (@p59 @p56))
% 3.01/3.21  (step @p62 :rule implies_elim :premises (@p61))
% 3.01/3.21  (step @p63 :rule refl :args (@t56))
% 3.01/3.21  (step @p64 :rule refl :args (@t57))
% 3.01/3.21  (step @p65 :rule nary_cong :premises (@p64 @p4 @p63) :args ((or @t57 @t48 @t56)))
% 3.01/3.21  (step @p66 :rule cnf_equiv_neg2 :args (@t57))
% 3.01/3.21  (step @p67 :rule eq_resolve :premises (@p66 @p65))
% 3.01/3.21  (step @p68 :rule reordering :premises (@p67) :args ((or @t44 @t57 @t56)))
% 3.01/3.21  (assume-push @p1004 @t52)
% 3.01/3.21  (step @p70 :rule instantiate :premises (@p1004) :args (@t79))
% 3.01/3.21  (step-pop @p1005 :rule scope :premises (@p70))
% 3.01/3.21  (step @p71 :rule process_scope :premises (@p1005) :args (@t80))
% 3.01/3.21  (step @p73 :rule implies_elim :premises (@p71))
% 3.01/3.21  (step @p74 :rule refl :args (@t81))
% 3.01/3.21  (step @p75 :rule nary_cong :premises (@p74 @p32 @p26) :args ((or @t81 @t66 @t58)))
% 3.01/3.21  (step @p76 :rule cnf_equiv_neg2 :args (@t81))
% 3.01/3.21  (step @p77 :rule eq_resolve :premises (@p76 @p75))
% 3.01/3.21  (step @p78 :rule reordering :premises (@p77) :args ((or @t62 @t81 @t58)))
% 3.01/3.21  (assume-push @p1006 @t52)
% 3.01/3.21  (step @p80 :rule instantiate :premises (@p1006) :args (@t83))
% 3.01/3.21  (step-pop @p1007 :rule scope :premises (@p80))
% 3.01/3.21  (step @p81 :rule process_scope :premises (@p1007) :args (@t84))
% 3.01/3.21  (step @p83 :rule implies_elim :premises (@p81))
% 3.01/3.21  (assume-push @p1008 @t52)
% 3.01/3.21  (step @p85 :rule instantiate :premises (@p1008) :args (@t92))
% 3.01/3.21  (step-pop @p1009 :rule scope :premises (@p85))
% 3.01/3.21  (step @p86 :rule process_scope :premises (@p1009) :args (@t93))
% 3.01/3.21  (step @p88 :rule implies_elim :premises (@p86))
% 3.01/3.21  (assume-push @p1010 @t52)
% 3.01/3.21  (step @p90 :rule instantiate :premises (@p1010) :args (@t96))
% 3.01/3.21  (step-pop @p1011 :rule scope :premises (@p90))
% 3.01/3.21  (step @p91 :rule process_scope :premises (@p1011) :args (@t97))
% 3.01/3.21  (step @p93 :rule implies_elim :premises (@p91))
% 3.01/3.21  (assume-push @p1012 @t52)
% 3.01/3.21  (step @p95 :rule instantiate :premises (@p1012) :args (@t98))
% 3.01/3.21  (step-pop @p1013 :rule scope :premises (@p95))
% 3.01/3.21  (step @p96 :rule process_scope :premises (@p1013) :args (@t89))
% 3.01/3.21  (step @p98 :rule implies_elim :premises (@p96))
% 3.01/3.21  (step @p99 :rule cnf_equiv_neg2 :args (@t99))
% 3.01/3.21  (step @p100 :rule refl :args (@t100))
% 3.01/3.21  (step @p101 :rule bool-double-not-elim :args (@t90))
% 3.01/3.21  (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t101) @t100)))
% 3.01/3.21  (step @p103 :rule eq-symm :args (@t93 @t89))
% 3.01/3.21  (step @p104 :rule cong :premises (@p103) :args (@t102))
% 3.01/3.21  (step @p105 :rule refl :args (@t101))
% 3.01/3.21  (step @p106 :rule cong :premises (@p105 @p104) :args ((=> @t101 @t102)))
% 3.01/3.21  (assume-push @p1014 @t101)
% 3.01/3.21  (step @p108 :rule skolemize :premises (@p1014))
% 3.01/3.21  (step-pop @p1015 :rule scope :premises (@p108))
% 3.01/3.21  (step @p109 :rule process_scope :premises (@p1015) :args (@t102))
% 3.01/3.21  (step @p111 :rule eq_resolve :premises (@p109 @p106))
% 3.01/3.21  (step @p112 :rule implies_elim :premises (@p111))
% 3.01/3.21  (step @p113 :rule eq_resolve :premises (@p112 @p102))
% 3.01/3.21  (assume-push @p1016 @t105)
% 3.01/3.21  (step @p115 :rule instantiate :premises (@p1016) :args (@t98))
% 3.01/3.21  (step-pop @p1017 :rule scope :premises (@p115))
% 3.01/3.21  (step @p116 :rule process_scope :premises (@p1017) :args (@t101))
% 3.01/3.21  (step @p118 :rule implies_elim :premises (@p116))
% 3.01/3.21  (step @p119 :rule refl :args (@t108))
% 3.01/3.21  (step @p120 :rule bool-double-not-elim :args (@t105))
% 3.01/3.21  (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t110 @t108)))
% 3.01/3.21  (step @p122 :rule bool-double-not-elim :args (@t108))
% 3.01/3.21  (step @p123 :rule refl :args (@t109))
% 3.01/3.21  (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t109 @t112)))
% 3.01/3.21  (assume-push @p1018 @t109)
% 3.01/3.21  (step @p126 :rule skolemize :premises (@p1018))
% 3.01/3.21  (step-pop @p1019 :rule scope :premises (@p126))
% 3.01/3.21  (step @p127 :rule process_scope :premises (@p1019) :args (@t112))
% 3.01/3.21  (step @p129 :rule eq_resolve :premises (@p127 @p124))
% 3.01/3.21  (step @p130 :rule implies_elim :premises (@p129))
% 3.01/3.21  (step @p131 :rule eq_resolve :premises (@p130 @p121))
% 3.01/3.21  (step @p132 :rule eq-symm :args (@t80 @t107))
% 3.01/3.21  (step @p133 :rule cong :premises (@p119 @p132) :args ((=> @t108 @t113)))
% 3.01/3.21  (assume-push @p1020 @t108)
% 3.01/3.21  (step @p135 :rule instantiate :premises (@p1020) :args (@t79))
% 3.01/3.21  (step-pop @p1021 :rule scope :premises (@p135))
% 3.01/3.21  (step @p136 :rule process_scope :premises (@p1021) :args (@t113))
% 3.01/3.21  (step @p138 :rule eq_resolve :premises (@p136 @p133))
% 3.01/3.21  (step @p139 :rule implies_elim :premises (@p138))
% 3.01/3.21  (step @p140 :rule cnf_equiv_pos2 :args (@t114))
% 3.01/3.21  (step @p141 :rule reordering :premises (@p140) :args ((or @t107 @t115 (not @t114))))
% 3.01/3.21  (assume-push @p1022 @t116)
% 3.01/3.21  (step @p143 :rule instantiate :premises (@p1022) :args ((@list @t106)))
% 3.01/3.21  (step-pop @p1023 :rule scope :premises (@p143))
% 3.01/3.21  (step @p144 :rule process_scope :premises (@p1023) :args (@t117))
% 3.01/3.21  (step @p146 :rule implies_elim :premises (@p144))
% 3.01/3.21  (step @p147 :rule refl :args (@t123))
% 3.01/3.21  (step @p148 :rule bool-double-not-elim :args (@t120))
% 3.01/3.21  (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t125 @t123)))
% 3.01/3.21  (step @p150 :rule eq-symm :args (@t122 @t118))
% 3.01/3.21  (step @p151 :rule cong :premises (@p150) :args (@t126))
% 3.01/3.21  (step @p152 :rule bool-double-not-elim :args (@t126))
% 3.01/3.21  (step @p153 :rule trans :premises (@p152 @p151))
% 3.01/3.21  (step @p154 :rule refl :args (@t124))
% 3.01/3.21  (step @p155 :rule cong :premises (@p154 @p153) :args ((=> @t124 @t127)))
% 3.01/3.21  (assume-push @p1024 @t124)
% 3.01/3.21  (step @p157 :rule skolemize :premises (@p1024))
% 3.01/3.21  (step-pop @p1025 :rule scope :premises (@p157))
% 3.01/3.21  (step @p158 :rule process_scope :premises (@p1025) :args (@t127))
% 3.01/3.21  (step @p160 :rule eq_resolve :premises (@p158 @p155))
% 3.01/3.21  (step @p161 :rule implies_elim :premises (@p160))
% 3.01/3.21  (step @p162 :rule eq_resolve :premises (@p161 @p149))
% 3.01/3.21  (step @p163 :rule refl :args (@t128))
% 3.01/3.21  (step @p164 :rule bool-double-not-elim :args (@t116))
% 3.01/3.21  (step @p165 :rule refl :args (@t130))
% 3.01/3.21  (step @p166 :rule nary_cong :premises (@p165 @p164 @p163) :args ((or @t130 @t131 @t128)))
% 3.01/3.21  (step @p167 :rule cnf_equiv_neg2 :args (@t130))
% 3.01/3.21  (step @p168 :rule eq_resolve :premises (@p167 @p166))
% 3.01/3.21  (step @p169 :rule reordering :premises (@p168) :args ((or @t116 @t130 @t128)))
% 3.01/3.21  (assume-push @p1026 @t94)
% 3.01/3.21  (step @p171 :rule instantiate :premises (@p1026) :args (@t134))
% 3.01/3.21  (step-pop @p1027 :rule scope :premises (@p171))
% 3.01/3.21  (step @p172 :rule process_scope :premises (@p1027) :args (@t135))
% 3.01/3.21  (step @p174 :rule implies_elim :premises (@p172))
% 3.01/3.21  (assume-push @p1028 @t94)
% 3.01/3.21  (step @p176 :rule instantiate :premises (@p1028) :args (@t83))
% 3.01/3.21  (step-pop @p1029 :rule scope :premises (@p176))
% 3.01/3.21  (step @p177 :rule process_scope :premises (@p1029) :args (@t85))
% 3.01/3.21  (step @p179 :rule implies_elim :premises (@p177))
% 3.01/3.21  (assume-push @p1030 @t94)
% 3.01/3.21  (step @p181 :rule instantiate :premises (@p1030) :args (@t98))
% 3.01/3.21  (step-pop @p1031 :rule scope :premises (@p181))
% 3.01/3.21  (step @p182 :rule process_scope :premises (@p1031) :args (@t136))
% 3.01/3.21  (step @p184 :rule implies_elim :premises (@p182))
% 3.01/3.21  (step @p185 :rule refl :args (@t137))
% 3.01/3.21  (step @p186 :rule refl :args (@t138))
% 3.01/3.21  (step @p187 :rule nary_cong :premises (@p186 @p148 @p185) :args ((or @t138 @t125 @t137)))
% 3.01/3.21  (step @p188 :rule cnf_equiv_neg2 :args (@t138))
% 3.01/3.21  (step @p189 :rule eq_resolve :premises (@p188 @p187))
% 3.01/3.21  (step @p190 :rule reordering :premises (@p189) :args ((or @t120 @t138 @t137)))
% 3.01/3.21  (assume-push @p1032 @t140)
% 3.01/3.21  (step @p192 :rule instantiate :premises (@p1032) :args (@t134))
% 3.01/3.21  (step-pop @p1033 :rule scope :premises (@p192))
% 3.01/3.21  (step @p193 :rule process_scope :premises (@p1033) :args ((not @t135)))
% 3.01/3.21  (step @p195 :rule implies_elim :premises (@p193))
% 3.01/3.21  (step @p196 :rule cnf_equiv_neg2 :args (@t141))
% 3.01/3.21  (step @p197 :rule reordering :premises (@p196) :args ((or @t143 @t141 @t142)))
% 3.01/3.21  (step @p198 :rule cnf_equiv_neg2 :args (@t144))
% 3.01/3.21  (step @p199 :rule reordering :premises (@p198) :args ((or @t143 @t144 @t145)))
% 3.01/3.21  (step @p200 :rule cnf_equiv_neg2 :args (@t146))
% 3.01/3.21  ; WARNING: add trust step for TRUST
% 3.01/3.21  ; trust TRUST THEORY_LEMMA
% 3.01/3.21  (step @p201 :rule trust :premises () :args ((or @t147 (not @t141))))
% 3.01/3.21  (step @p202 :rule refl :args (@t148))
% 3.01/3.21  (step @p203 :rule bool-double-not-elim :args (@t87))
% 3.01/3.21  (step @p204 :rule nary_cong :premises (@p203 @p202) :args ((or (not @t149) @t148)))
% 3.01/3.21  (step @p205 :rule eq-symm :args (@t136 @t85))
% 3.01/3.21  (step @p206 :rule cong :premises (@p205) :args (@t150))
% 3.01/3.21  (step @p207 :rule refl :args (@t149))
% 3.01/3.21  (step @p208 :rule cong :premises (@p207 @p206) :args ((=> @t149 @t150)))
% 3.01/3.21  (assume-push @p1034 @t149)
% 3.01/3.21  (step @p210 :rule skolemize :premises (@p1034))
% 3.01/3.21  (step-pop @p1035 :rule scope :premises (@p210))
% 3.01/3.21  (step @p211 :rule process_scope :premises (@p1035) :args (@t150))
% 3.01/3.21  (step @p213 :rule eq_resolve :premises (@p211 @p208))
% 3.01/3.21  (step @p214 :rule implies_elim :premises (@p213))
% 3.01/3.21  (step @p215 :rule eq_resolve :premises (@p214 @p204))
% 3.01/3.21  (step @p216 :rule refl :args (@t118))
% 3.01/3.21  (step @p217 :rule refl :args (@t2))
% 3.01/3.21  (step @p218 :rule cong :premises (@p217 @p216) :args ((= @t2 @t118)))
% 3.01/3.21  (step @p219 :rule symm :premises (@p218))
% 3.01/3.21  (step @p220 :rule eq_resolve :premises (@p217 @p219))
% 3.01/3.21  (step @p221 :rule cong :premises (@p220) :args (@t4))
% 3.01/3.21  (step @p222 :rule refl :args (@t60))
% 3.01/3.21  (step @p223 :rule refl :args (@t6))
% 3.01/3.21  (step @p224 :rule cong :premises (@p223 @p222) :args ((= @t6 @t60)))
% 3.01/3.21  (step @p225 :rule symm :premises (@p224))
% 3.01/3.21  (step @p226 :rule eq_resolve :premises (@p223 @p225))
% 3.01/3.21  (step @p227 :rule cong :premises (@p226) :args (@t151))
% 3.01/3.21  (step @p228 :rule cong :premises (@p227) :args (@t152))
% 3.01/3.21  (step @p229 :rule cong :premises (@p228) :args (@t153))
% 3.01/3.21  (step @p230 :rule exists-elim :args ((= @t8 @t153)))
% 3.01/3.21  (step @p231 :rule trans :premises (@p230 @p229))
% 3.01/3.21  (step @p232 :rule cong :premises (@p231 @p221) :args (@t9))
% 3.01/3.21  (step @p233 :rule exists-elim :args ((= (exists @t7 @t154) @t156)))
% 3.01/3.21  (step @p234 :rule refl :args (@t139))
% 3.01/3.21  (step @p235 :rule refl :args (@t11))
% 3.01/3.21  (step @p236 :rule cong :premises (@p235 @p234) :args ((= @t11 @t139)))
% 3.01/3.21  (step @p237 :rule symm :premises (@p236))
% 3.01/3.21  (step @p238 :rule eq_resolve :premises (@p235 @p237))
% 3.01/3.21  (step @p239 :rule refl :args (@t86))
% 3.01/3.21  (step @p240 :rule refl :args (@t10))
% 3.01/3.21  (step @p241 :rule cong :premises (@p240 @p239) :args ((= @t10 @t86)))
% 3.01/3.21  (step @p242 :rule symm :premises (@p241))
% 3.01/3.21  (step @p243 :rule eq_resolve :premises (@p240 @p242))
% 3.01/3.21  (step @p244 :rule cong :premises (@p243 @p238) :args (@t157))
% 3.01/3.21  (step @p245 :rule cong :premises (@p244) :args ((forall @t3 @t157)))
% 3.01/3.21  (step @p246 :rule eq-symm :args (@t11 @t10))
% 3.01/3.21  (step @p247 :rule cong :premises (@p246) :args (@t12))
% 3.01/3.21  (step @p248 :rule trans :premises (@p247 @p245))
% 3.01/3.21  (step @p249 :rule cong :premises (@p248) :args (@t13))
% 3.01/3.21  (step @p250 :rule trans :premises (@p249 @p233))
% 3.01/3.21  (step @p251 :rule cong :premises (@p250 @p232) :args (@t14))
% 3.01/3.21  (step @p252 :rule refl :args (@t59))
% 3.01/3.21  (step @p253 :rule refl :args (@t15))
% 3.01/3.21  (step @p254 :rule cong :premises (@p253 @p252) :args ((= @t15 @t59)))
% 3.01/3.21  (step @p255 :rule symm :premises (@p254))
% 3.01/3.21  (step @p256 :rule eq_resolve :premises (@p253 @p255))
% 3.01/3.21  (step @p257 :rule cong :premises (@p256) :args (@t16))
% 3.01/3.21  (step @p258 :rule cong :premises (@p238) :args (@t158))
% 3.01/3.21  (step @p259 :rule cong :premises (@p258) :args (@t159))
% 3.01/3.21  (step @p260 :rule cong :premises (@p259) :args (@t160))
% 3.01/3.21  (step @p261 :rule exists-elim :args ((= @t17 @t160)))
% 3.01/3.21  (step @p262 :rule trans :premises (@p261 @p260))
% 3.01/3.21  (step @p263 :rule cong :premises (@p262 @p257) :args (@t18))
% 3.01/3.21  (step @p264 :rule exists-elim :args ((= (exists @t7 @t104) @t109)))
% 3.01/3.21  (step @p265 :rule refl :args (@t103))
% 3.01/3.21  (step @p266 :rule refl :args (@t20))
% 3.01/3.21  (step @p267 :rule cong :premises (@p266 @p265) :args ((= @t20 @t103)))
% 3.01/3.21  (step @p268 :rule symm :premises (@p267))
% 3.01/3.21  (step @p269 :rule eq_resolve :premises (@p266 @p268))
% 3.01/3.21  (step @p270 :rule refl :args (@t51))
% 3.01/3.21  (step @p271 :rule refl :args (@t19))
% 3.01/3.21  (step @p272 :rule cong :premises (@p271 @p270) :args ((= @t19 @t51)))
% 3.01/3.21  (step @p273 :rule symm :premises (@p272))
% 3.01/3.21  (step @p274 :rule eq_resolve :premises (@p271 @p273))
% 3.01/3.21  (step @p275 :rule cong :premises (@p274 @p269) :args (@t161))
% 3.01/3.21  (step @p276 :rule cong :premises (@p275) :args ((forall @t3 @t161)))
% 3.01/3.21  (step @p277 :rule eq-symm :args (@t20 @t19))
% 3.01/3.21  (step @p278 :rule cong :premises (@p277) :args (@t21))
% 3.01/3.21  (step @p279 :rule trans :premises (@p278 @p276))
% 3.01/3.21  (step @p280 :rule cong :premises (@p279) :args (@t22))
% 3.01/3.21  (step @p281 :rule trans :premises (@p280 @p264))
% 3.01/3.21  (step @p282 :rule cong :premises (@p281 @p263) :args (@t23))
% 3.01/3.21  (step @p283 :rule cong :premises (@p282 @p251) :args (@t24))
% 3.01/3.21  (step @p284 :rule cong :premises (@p243) :args (@t25))
% 3.01/3.21  (step @p285 :rule cong :premises (@p269) :args (@t162))
% 3.01/3.21  (step @p286 :rule cong :premises (@p285) :args (@t163))
% 3.01/3.21  (step @p287 :rule cong :premises (@p286) :args (@t164))
% 3.01/3.21  (step @p288 :rule exists-elim :args ((= @t26 @t164)))
% 3.01/3.21  (step @p289 :rule trans :premises (@p288 @p287))
% 3.01/3.21  (step @p290 :rule cong :premises (@p289 @p284) :args (@t27))
% 3.01/3.21  (step @p291 :rule exists-elim :args ((= (exists @t7 @t119) @t124)))
% 3.01/3.21  (step @p292 :rule refl :args (@t43))
% 3.01/3.21  (step @p293 :rule refl :args (@t28))
% 3.01/3.21  (step @p294 :rule cong :premises (@p293 @p292) :args ((= @t28 @t43)))
% 3.01/3.21  (step @p295 :rule symm :premises (@p294))
% 3.01/3.21  (step @p296 :rule eq_resolve :premises (@p293 @p295))
% 3.01/3.21  (step @p297 :rule cong :premises (@p296 @p220) :args (@t29))
% 3.01/3.21  (step @p298 :rule cong :premises (@p297) :args (@t30))
% 3.01/3.21  (step @p299 :rule cong :premises (@p298) :args (@t31))
% 3.01/3.21  (step @p300 :rule trans :premises (@p299 @p291))
% 3.01/3.21  (step @p301 :rule cong :premises (@p300 @p290) :args (@t32))
% 3.01/3.21  (step @p302 :rule cong :premises (@p274) :args (@t33))
% 3.01/3.21  (step @p303 :rule cong :premises (@p296) :args (@t165))
% 3.01/3.21  (step @p304 :rule cong :premises (@p303) :args (@t166))
% 3.01/3.21  (step @p305 :rule cong :premises (@p304) :args (@t167))
% 3.01/3.21  (step @p306 :rule exists-elim :args ((= @t34 @t167)))
% 3.01/3.21  (step @p307 :rule trans :premises (@p306 @p305))
% 3.01/3.21  (step @p308 :rule cong :premises (@p307 @p302) :args (@t35))
% 3.01/3.21  (step @p309 :rule exists-elim :args ((= (exists @t7 @t61) @t65)))
% 3.01/3.21  (step @p310 :rule cong :premises (@p226 @p256) :args (@t36))
% 3.01/3.21  (step @p311 :rule cong :premises (@p310) :args (@t37))
% 3.01/3.21  (step @p312 :rule cong :premises (@p311) :args (@t38))
% 3.01/3.21  (step @p313 :rule trans :premises (@p312 @p309))
% 3.01/3.21  (step @p314 :rule cong :premises (@p313 @p308) :args (@t39))
% 3.01/3.21  (step @p315 :rule cong :premises (@p314 @p301) :args (@t40))
% 3.01/3.21  (step @p316 :rule cong :premises (@p315 @p283) :args (@t41))
% 3.01/3.21  (step @p317 :rule cong :premises (@p316) :args (@t42))
% 3.01/3.21  (step @p318 :rule eq_resolve :premises (@p1 @p317))
% 3.01/3.21  (step @p319 :rule not_equiv_elim2 :premises (@p318))
% 3.01/3.21  (assume-push @p1036 @t155)
% 3.01/3.21  (step @p321 :rule instantiate :premises (@p1036) :args (@t83))
% 3.01/3.21  (step-pop @p1037 :rule scope :premises (@p321))
% 3.01/3.21  (step @p322 :rule process_scope :premises (@p1037) :args (@t149))
% 3.01/3.21  (step @p324 :rule implies_elim :premises (@p322))
% 3.01/3.21  (step @p325 :rule refl :args (@t168))
% 3.01/3.21  (step @p326 :rule bool-double-not-elim :args (@t140))
% 3.01/3.21  (step @p327 :rule refl :args (@t170))
% 3.01/3.21  (step @p328 :rule nary_cong :premises (@p327 @p326 @p325) :args ((or @t170 @t171 @t168)))
% 3.01/3.21  (step @p329 :rule cnf_equiv_neg2 :args (@t170))
% 3.01/3.21  (step @p330 :rule eq_resolve :premises (@p329 @p328))
% 3.01/3.21  (step @p331 :rule reordering :premises (@p330) :args ((or @t140 @t170 @t168)))
% 3.01/3.21  (assume-push @p1038 @t74)
% 3.01/3.21  (step @p333 :rule instantiate :premises (@p1038) :args (@t73))
% 3.01/3.21  (step-pop @p1039 :rule scope :premises (@p333))
% 3.01/3.21  (step @p334 :rule process_scope :premises (@p1039) :args (@t71))
% 3.01/3.21  (step @p336 :rule implies_elim :premises (@p334))
% 3.01/3.21  (step @p337 :rule refl :args (@t172))
% 3.01/3.21  (step @p338 :rule refl :args (@t173))
% 3.01/3.21  (step @p339 :rule nary_cong :premises (@p338 @p120 @p337) :args ((or @t173 @t110 @t172)))
% 3.01/3.21  (step @p340 :rule cnf_equiv_neg2 :args (@t173))
% 3.01/3.21  (step @p341 :rule eq_resolve :premises (@p340 @p339))
% 3.01/3.21  (step @p342 :rule reordering :premises (@p341) :args ((or @t105 @t173 @t172)))
% 3.01/3.21  (assume-push @p1040 @t69)
% 3.01/3.21  (step @p344 :rule instantiate :premises (@p1040) :args (@t73))
% 3.01/3.21  (step-pop @p1041 :rule scope :premises (@p344))
% 3.01/3.21  (step @p345 :rule process_scope :premises (@p1041) :args (@t174))
% 3.01/3.21  (step @p347 :rule implies_elim :premises (@p345))
% 3.01/3.21  (step @p348 :rule cnf_equiv_neg2 :args (@t178))
% 3.01/3.21  (step @p349 :rule refl :args (@t179))
% 3.01/3.21  (step @p350 :rule bool-double-not-elim :args (@t69))
% 3.01/3.21  (step @p351 :rule refl :args (@t176))
% 3.01/3.21  (step @p352 :rule nary_cong :premises (@p351 @p350 @p349) :args ((or @t176 @t180 @t179)))
% 3.01/3.21  (step @p353 :rule cnf_equiv_neg2 :args (@t176))
% 3.01/3.21  (step @p354 :rule eq_resolve :premises (@p353 @p352))
% 3.01/3.21  (step @p355 :rule reordering :premises (@p354) :args ((or @t69 @t176 @t179)))
% 3.01/3.21  (step @p356 :rule refl :args (@t181))
% 3.01/3.21  (step @p357 :rule bool-double-not-elim :args (@t155))
% 3.01/3.21  (step @p358 :rule refl :args (@t177))
% 3.01/3.21  (step @p359 :rule nary_cong :premises (@p358 @p357 @p356) :args ((or @t177 @t182 @t181)))
% 3.01/3.21  (step @p360 :rule cnf_equiv_neg2 :args (@t177))
% 3.01/3.21  (step @p361 :rule eq_resolve :premises (@p360 @p359))
% 3.01/3.21  (step @p362 :rule reordering :premises (@p361) :args ((or @t155 @t177 @t181)))
% 3.01/3.21  (step @p363 :rule chain_m_resolution :premises (@p362 @p355 @p348 @p347 @p342 @p336 @p331) :args ((or @t105 @t140 @t155 @t178 @t168 @t179) (@list false true true false false false) @t183))
% 3.01/3.21  (step @p364 :rule refl :args (@t74))
% 3.01/3.21  (step @p365 :rule nary_cong :premises (@p337 @p326 @p364) :args ((or @t172 @t171 @t74)))
% 3.01/3.21  (step @p366 :rule cnf_equiv_pos1 :args (@t170))
% 3.01/3.21  (step @p367 :rule eq_resolve :premises (@p366 @p365))
% 3.01/3.21  (step @p368 :rule reordering :premises (@p367) :args ((or @t140 @t74 @t172)))
% 3.01/3.21  (step @p369 :rule refl :args (@t184))
% 3.01/3.21  (step @p370 :rule bool-double-not-elim :args (@t74))
% 3.01/3.21  (step @p371 :rule nary_cong :premises (@p370 @p369) :args ((or (not @t168) @t184)))
% 3.01/3.21  (assume-push @p1042 @t168)
% 3.01/3.21  (step @p373 :rule skolemize :premises (@p1042))
% 3.01/3.21  (step-pop @p1043 :rule scope :premises (@p373))
% 3.01/3.21  (step @p374 :rule process_scope :premises (@p1043) :args (@t184))
% 3.01/3.21  (step @p376 :rule implies_elim :premises (@p374))
% 3.01/3.21  (step @p377 :rule eq_resolve :premises (@p376 @p371))
% 3.01/3.21  (step @p378 :rule refl :args (@t185))
% 3.01/3.21  (step @p379 :rule nary_cong :premises (@p378 @p120 @p327) :args ((or @t185 @t110 @t170)))
% 3.01/3.21  (step @p380 :rule cnf_equiv_pos1 :args (@t173))
% 3.01/3.21  (step @p381 :rule eq_resolve :premises (@p380 @p379))
% 3.01/3.21  (step @p382 :rule reordering :premises (@p381) :args ((or @t105 @t170 @t185)))
% 3.01/3.21  (step @p383 :rule cnf_equiv_pos1 :args (@t186))
% 3.01/3.21  (step @p384 :rule reordering :premises (@p383) :args ((or (not @t63) @t76 @t187)))
% 3.01/3.21  (step @p385 :rule cnf_equiv_neg1 :args (@t178))
% 3.01/3.21  (step @p386 :rule reordering :premises (@p385) :args ((or @t173 @t177 @t178)))
% 3.01/3.21  (step @p387 :rule cnf_equiv_pos2 :args (@t188))
% 3.01/3.21  (step @p388 :rule reordering :premises (@p387) :args ((or @t63 @t174 @t189)))
% 3.01/3.21  (step @p389 :rule refl :args (@t190))
% 3.01/3.21  (step @p390 :rule nary_cong :premises (@p389 @p357 @p351) :args ((or @t190 @t182 @t176)))
% 3.01/3.21  (step @p391 :rule cnf_equiv_pos1 :args (@t177))
% 3.01/3.21  (step @p392 :rule eq_resolve :premises (@p391 @p390))
% 3.01/3.21  (step @p393 :rule reordering :premises (@p392) :args ((or @t155 @t176 @t190)))
% 3.01/3.21  (step @p394 :rule refl :args (@t71))
% 3.01/3.21  (step @p395 :rule nary_cong :premises (@p350 @p394) :args ((or @t180 @t71)))
% 3.01/3.21  (step @p396 :rule bool-double-not-elim :args (@t71))
% 3.01/3.21  (step @p397 :rule refl :args (@t175))
% 3.01/3.21  (step @p398 :rule cong :premises (@p397 @p396) :args ((=> @t175 @t191)))
% 3.01/3.21  (assume-push @p1044 @t175)
% 3.01/3.21  (step @p400 :rule skolemize :premises (@p1044))
% 3.01/3.21  (step-pop @p1045 :rule scope :premises (@p400))
% 3.01/3.21  (step @p401 :rule process_scope :premises (@p1045) :args (@t191))
% 3.01/3.21  (step @p403 :rule eq_resolve :premises (@p401 @p398))
% 3.01/3.21  (step @p404 :rule implies_elim :premises (@p403))
% 3.01/3.21  (step @p405 :rule eq_resolve :premises (@p404 @p395))
% 3.01/3.21  (step @p406 :rule cnf_equiv_pos2 :args (@t176))
% 3.01/3.21  (step @p407 :rule reordering :premises (@p406) :args ((or @t175 @t179 @t181)))
% 3.01/3.21  (step @p408 :rule chain_m_resolution :premises (@p407 @p405 @p393 @p388 @p386 @p384 @p382 @p377 @p368 @p363) :args ((or @t105 @t140 @t155 @t178 @t179 @t189 @t187) (@list false false true false true true true true true) (@list @t69 @t176 @t71 @t177 @t63 @t173 @t76 @t170 @t74)))
% 3.01/3.21  (assume-push @p1046 @t147)
% 3.01/3.21  (assume-push @p1047 @t136)
% 3.01/3.21  (assume-push @p1048 @t136)
% 3.01/3.21  (assume-push @p1049 @t147)
% 3.01/3.21  (step @p413 :rule true_intro :premises (@p1047))
% 3.01/3.21  (step @p414 :rule refl :args (@t88))
% 3.01/3.21  (step @p415 :rule symm :premises (@p1046))
% 3.01/3.21  (step @p416 :rule ho_cong :premises (@p415 @p414))
% 3.01/3.21  (step @p417 :rule trans :premises (@p416 @p413))
% 3.01/3.21  (step @p418 :rule true_elim :premises (@p417))
% 3.01/3.21  (step-pop @p1050 :rule scope :premises (@p418))
% 3.01/3.21  (step-pop @p1051 :rule scope :premises (@p1050))
% 3.01/3.21  (step @p419 :rule process_scope :premises (@p1051) :args (@t89))
% 3.01/3.21  (step @p422 :rule and_intro :premises (@p1047 @p1046))
% 3.01/3.21  (step @p423 :rule modus_ponens :premises (@p422 @p419))
% 3.01/3.21  (step-pop @p1052 :rule scope :premises (@p423))
% 3.01/3.21  (step-pop @p1053 :rule scope :premises (@p1052))
% 3.01/3.21  (step @p424 :rule process_scope :premises (@p1053) :args (@t89))
% 3.01/3.21  (step @p427 :rule implies_elim :premises (@p424))
% 3.01/3.21  (step @p428 :rule cnf_and_neg :args (@t192))
% 3.01/3.21  (step @p429 :rule resolution :premises (@p428 @p427) :args (true @t192))
% 3.01/3.21  (step @p430 :rule chain_m_resolution :premises (@p429 @p99 @p113 @p118 @p408 @p324 @p319 @p215 @p201 @p200 @p199 @p197 @p195 @p190 @p184 @p179 @p174 @p169) :args ((or @t120 @t116 @t194 @t128 @t179 @t189 @t142 @t187 @t193) (@list true true true false true true false false false false false true false false false false false) (@list @t89 @t99 @t90 @t105 @t155 @t178 @t87 @t147 @t146 @t144 @t141 @t140 @t138 @t136 @t85 @t135 @t130)))
% 3.01/3.21  (step @p431 :rule refl :args (@t94))
% 3.01/3.21  (step @p432 :rule nary_cong :premises (@p185 @p164 @p431) :args ((or @t137 @t131 @t94)))
% 3.01/3.21  (step @p433 :rule cnf_equiv_pos1 :args (@t130))
% 3.01/3.21  (step @p434 :rule eq_resolve :premises (@p433 @p432))
% 3.01/3.21  (step @p435 :rule reordering :premises (@p434) :args ((or @t116 @t94 @t137)))
% 3.01/3.21  (step @p436 :rule refl :args (@t196))
% 3.01/3.21  (step @p437 :rule bool-double-not-elim :args (@t94))
% 3.01/3.21  (step @p438 :rule nary_cong :premises (@p437 @p436) :args ((or (not @t128) @t196)))
% 3.01/3.21  (assume-push @p1054 @t128)
% 3.01/3.21  (step @p440 :rule skolemize :premises (@p1054))
% 3.01/3.21  (step-pop @p1055 :rule scope :premises (@p440))
% 3.01/3.21  (step @p441 :rule process_scope :premises (@p1055) :args (@t196))
% 3.01/3.21  (step @p443 :rule implies_elim :premises (@p441))
% 3.01/3.21  (step @p444 :rule eq_resolve :premises (@p443 @p438))
% 3.01/3.21  (step @p445 :rule refl :args (@t197))
% 3.01/3.21  (step @p446 :rule nary_cong :premises (@p445 @p148 @p165) :args ((or @t197 @t125 @t130)))
% 3.01/3.21  (step @p447 :rule cnf_equiv_pos1 :args (@t138))
% 3.01/3.21  (step @p448 :rule eq_resolve :premises (@p447 @p446))
% 3.01/3.21  (step @p449 :rule reordering :premises (@p448) :args ((or @t120 @t130 @t197)))
% 3.01/3.21  (step @p450 :rule refl :args (@t198))
% 3.01/3.21  (step @p451 :rule bool-double-not-elim :args (@t195))
% 3.01/3.21  (step @p452 :rule refl :args (@t199))
% 3.01/3.21  (step @p453 :rule nary_cong :premises (@p452 @p451 @p450) :args ((or @t199 (not @t196) @t198)))
% 3.01/3.21  (assume-push @p1056 @t196)
% 3.01/3.21  (assume-push @p1057 @t147)
% 3.01/3.21  (assume-push @p1058 @t97)
% 3.01/3.21  (step @p457 :rule evaluate :args ((= true false)))
% 3.01/3.21  (step @p458 :rule false_intro :premises (@p1056))
% 3.01/3.21  (step @p459 :rule refl :args (@t95))
% 3.01/3.21  (step @p460 :rule symm :premises (@p1057))
% 3.01/3.21  (step @p461 :rule ho_cong :premises (@p460 @p459))
% 3.01/3.21  (step @p462 :rule true_intro :premises (@p1058))
% 3.01/3.21  (step @p463 :rule symm :premises (@p462))
% 3.01/3.21  (step @p464 :rule trans :premises (@p463 @p461 @p458))
% 3.01/3.21  (step @p465 false :rule eq_resolve :premises (@p464 @p457))
% 3.01/3.21  (step-pop @p1059 :rule scope :premises (@p465))
% 3.01/3.21  (step-pop @p1060 :rule scope :premises (@p1059))
% 3.01/3.21  (step-pop @p1061 :rule scope :premises (@p1060))
% 3.01/3.21  (step @p466 :rule process_scope :premises (@p1061) :args (false))
% 3.01/3.21  (assume-push @p1062 @t147)
% 3.01/3.21  (assume-push @p1063 @t196)
% 3.01/3.21  (assume-push @p1064 @t97)
% 3.01/3.21  (step @p473 :rule and_intro :premises (@p1063 @p1062 @p1064))
% 3.01/3.21  (step-pop @p1065 :rule scope :premises (@p473))
% 3.01/3.21  (step-pop @p1066 :rule scope :premises (@p1065))
% 3.01/3.21  (step-pop @p1067 :rule scope :premises (@p1066))
% 3.01/3.21  (step @p474 :rule process_scope :premises (@p1067) :args (@t200))
% 3.01/3.21  (step @p478 :rule implies_elim :premises (@p474))
% 3.01/3.21  (step @p479 :rule resolution :premises (@p478 @p466) :args (true @t200))
% 3.01/3.21  (step @p480 :rule not_and :premises (@p479))
% 3.01/3.21  (step @p481 :rule eq_resolve :premises (@p480 @p453))
% 3.01/3.21  (step @p482 :rule cnf_equiv_pos1 :args (@t146))
% 3.01/3.21  (step @p483 :rule reordering :premises (@p482) :args ((or @t138 @t194 @t201)))
% 3.01/3.21  (step @p484 :rule not_equiv_elim1 :premises (@p318))
% 3.01/3.21  (step @p485 :rule refl :args (@t203))
% 3.01/3.21  (step @p486 :rule nary_cong :premises (@p326 @p485) :args ((or @t171 @t203)))
% 3.01/3.21  (step @p487 :rule bool-double-not-elim :args (@t203))
% 3.01/3.21  (step @p488 :rule refl :args (@t169))
% 3.01/3.21  (step @p489 :rule cong :premises (@p488 @p487) :args ((=> @t169 @t205)))
% 3.01/3.21  (assume-push @p1068 @t169)
% 3.01/3.21  (step @p491 :rule skolemize :premises (@p1068))
% 3.01/3.21  (step-pop @p1069 :rule scope :premises (@p491))
% 3.01/3.21  (step @p492 :rule process_scope :premises (@p1069) :args (@t205))
% 3.01/3.21  (step @p494 :rule eq_resolve :premises (@p492 @p489))
% 3.01/3.21  (step @p495 :rule implies_elim :premises (@p494))
% 3.01/3.21  (step @p496 :rule eq_resolve :premises (@p495 @p486))
% 3.01/3.21  (assume-push @p1070 @t208)
% 3.01/3.21  (step @p498 :rule instantiate :premises (@p1070) :args ((@list @t202)))
% 3.01/3.21  (step-pop @p1071 :rule scope :premises (@p498))
% 3.01/3.21  (step @p499 :rule process_scope :premises (@p1071) :args (@t209))
% 3.01/3.21  (step @p501 :rule implies_elim :premises (@p499))
% 3.01/3.21  (step @p502 :rule eq-symm :args (@t85 @t207))
% 3.01/3.21  (step @p503 :rule refl :args (@t208))
% 3.01/3.21  (step @p504 :rule cong :premises (@p503 @p502) :args ((=> @t208 @t210)))
% 3.01/3.21  (assume-push @p1072 @t208)
% 3.01/3.21  (step @p506 :rule instantiate :premises (@p1072) :args (@t83))
% 3.01/3.21  (step-pop @p1073 :rule scope :premises (@p506))
% 3.01/3.21  (step @p507 :rule process_scope :premises (@p1073) :args (@t210))
% 3.01/3.21  (step @p509 :rule eq_resolve :premises (@p507 @p504))
% 3.01/3.21  (step @p510 :rule implies_elim :premises (@p509))
% 3.01/3.21  (step @p511 :rule cnf_equiv_pos1 :args (@t209))
% 3.01/3.21  (step @p512 :rule reordering :premises (@p511) :args ((or @t204 @t207 (not @t209))))
% 3.01/3.21  (step @p513 :rule cnf_equiv_pos1 :args (@t211))
% 3.01/3.21  (step @p514 :rule reordering :premises (@p513) :args ((or @t213 @t85 @t212)))
% 3.01/3.21  (step @p515 :rule chain_m_resolution :premises (@p514 @p512 @p510 @p501) :args ((or @t204 @t214 @t85) (@list false false false) (@list @t207 @t211 @t209)))
% 3.01/3.21  (step @p516 :rule nary_cong :premises (@p357 @p503) :args ((or @t182 @t208)))
% 3.01/3.21  (step @p517 :rule bool-double-not-elim :args (@t208))
% 3.01/3.21  (step @p518 :rule refl :args (@t156))
% 3.01/3.21  (step @p519 :rule cong :premises (@p518 @p517) :args ((=> @t156 @t215)))
% 3.01/3.21  (assume-push @p1074 @t156)
% 3.01/3.21  (step @p521 :rule skolemize :premises (@p1074))
% 3.01/3.21  (step-pop @p1075 :rule scope :premises (@p521))
% 3.01/3.21  (step @p522 :rule process_scope :premises (@p1075) :args (@t215))
% 3.01/3.21  (step @p524 :rule eq_resolve :premises (@p522 @p519))
% 3.01/3.21  (step @p525 :rule implies_elim :premises (@p524))
% 3.01/3.21  (step @p526 :rule eq_resolve :premises (@p525 @p516))
% 3.01/3.21  (step @p527 :rule cnf_equiv_pos1 :args (@t178))
% 3.01/3.21  (step @p528 :rule reordering :premises (@p527) :args ((or @t177 @t185 @t216)))
% 3.01/3.21  (step @p529 :rule cnf_equiv_pos2 :args (@t177))
% 3.01/3.21  (step @p530 :rule reordering :premises (@p529) :args ((or @t156 @t181 @t190)))
% 3.01/3.21  (step @p531 :rule chain_m_resolution :premises (@p530 @p355 @p528 @p347 @p342 @p336 @p331) :args ((or @t105 @t140 @t156 @t168 @t179 @t216) (@list false false true false false false) @t183))
% 3.01/3.21  (step @p532 :rule cnf_equiv_pos2 :args (@t178))
% 3.01/3.21  (step @p533 :rule reordering :premises (@p532) :args ((or @t173 @t190 @t216)))
% 3.01/3.21  (step @p534 :rule cnf_equiv_neg1 :args (@t177))
% 3.01/3.21  (step @p535 :rule reordering :premises (@p534) :args ((or @t156 @t176 @t177)))
% 3.01/3.21  (step @p536 :rule chain_m_resolution :premises (@p407 @p535 @p405 @p533 @p388 @p382 @p384 @p368 @p377 @p531 @p526 @p515 @p496) :args ((or @t105 @t140 @t179 @t216 @t189 @t85 @t187) @t217 @t218))
% 3.01/3.21  (assume-push @p1076 @t140)
% 3.01/3.21  (step @p538 :rule instantiate :premises (@p1076) :args (@t98))
% 3.01/3.21  (step-pop @p1077 :rule scope :premises (@p538))
% 3.01/3.21  (step @p539 :rule process_scope :premises (@p1077) :args (@t145))
% 3.01/3.21  (step @p541 :rule implies_elim :premises (@p539))
% 3.01/3.21  (step @p542 :rule cnf_equiv_neg1 :args (@t144))
% 3.01/3.21  (step @p543 :rule reordering :premises (@p542) :args ((or @t85 @t136 @t144)))
% 3.01/3.21  (step @p544 :rule cnf_equiv_neg1 :args (@t170))
% 3.01/3.21  (step @p545 :rule reordering :premises (@p544) :args ((or @t169 @t74 @t170)))
% 3.01/3.21  (step @p546 :rule chain_m_resolution :premises (@p407 @p393 @p405 @p528 @p388 @p342 @p384 @p545 @p377) :args ((or @t105 @t169 @t74 @t155 @t179 @t216 @t189 @t187) (@list false false false true false true false true) @t219))
% 3.01/3.21  (step @p547 :rule cnf_equiv_pos2 :args (@t170))
% 3.01/3.21  (step @p548 :rule reordering :premises (@p547) :args ((or @t169 @t168 @t172)))
% 3.01/3.21  (step @p549 :rule chain_m_resolution :premises (@p362 @p355 @p533 @p347 @p382 @p336 @p548 @p546 @p324 @p215 @p543 @p541 @p536) :args ((or @t105 @t179 @t216 @t189 @t85 @t187) (@list false true true true false true false true false false true false) (@list @t176 @t177 @t69 @t173 @t71 @t170 @t74 @t155 @t87 @t144 @t136 @t140)))
% 3.01/3.21  (step @p550 :rule chain_m_resolution :premises (@p549 @p197 @p484 @p201 @p483 @p481 @p449 @p444 @p435 @p430) :args ((or @t120 @t116 @t105 @t194 @t179 @t189 @t142 @t187 @t193 @t198) (@list true false true true true true true true true) (@list @t85 @t178 @t141 @t146 @t147 @t138 @t195 @t130 @t94)))
% 3.01/3.21  (assume-push @p1078 @t123)
% 3.01/3.21  (step @p552 :rule instantiate :premises (@p1078) :args ((@list @t45)))
% 3.01/3.21  (step-pop @p1079 :rule scope :premises (@p552))
% 3.01/3.21  (step @p553 :rule process_scope :premises (@p1079) :args (@t220))
% 3.01/3.21  (step @p555 :rule implies_elim :premises (@p553))
% 3.01/3.21  (step @p556 :rule eq-symm :args (@t221 @t122))
% 3.01/3.21  (step @p557 :rule cong :premises (@p147 @p556) :args ((=> @t123 @t222)))
% 3.01/3.21  (assume-push @p1080 @t123)
% 3.01/3.21  (step @p559 :rule instantiate :premises (@p1080) :args (@t134))
% 3.01/3.21  (step-pop @p1081 :rule scope :premises (@p559))
% 3.01/3.21  (step @p560 :rule process_scope :premises (@p1081) :args (@t222))
% 3.01/3.21  (step @p562 :rule eq_resolve :premises (@p560 @p557))
% 3.01/3.21  (step @p563 :rule implies_elim :premises (@p562))
% 3.01/3.21  (step @p564 :rule refl :args (@t223))
% 3.01/3.21  (step @p565 :rule bool-double-not-elim :args (@t132))
% 3.01/3.21  (step @p566 :rule nary_cong :premises (@p565 @p564) :args ((or (not @t179) @t223)))
% 3.01/3.21  (assume-push @p1082 @t179)
% 3.01/3.21  (step @p568 :rule skolemize :premises (@p1082))
% 3.01/3.21  (step-pop @p1083 :rule scope :premises (@p568))
% 3.01/3.21  (step @p569 :rule process_scope :premises (@p1083) :args (@t223))
% 3.01/3.21  (step @p571 :rule implies_elim :premises (@p569))
% 3.01/3.21  (step @p572 :rule eq_resolve :premises (@p571 @p566))
% 3.01/3.21  (step @p573 :rule cnf_equiv_pos1 :args (@t220))
% 3.01/3.21  (step @p574 :rule reordering :premises (@p573) :args ((or @t49 @t122 (not @t220))))
% 3.01/3.21  (step @p575 :rule cnf_equiv_pos1 :args (@t224))
% 3.01/3.21  (step @p576 :rule reordering :premises (@p575) :args ((or @t221 @t225 (not @t224))))
% 3.01/3.21  (step @p577 :rule chain_m_resolution :premises (@p576 @p574 @p572 @p563 @p555 @p550 @p162) :args ((or @t120 @t116 @t105 @t194 @t49 @t189 @t142 @t187 @t193 @t198) (@list false true false false true false) (@list @t122 @t221 @t224 @t220 @t132 @t123)))
% 3.01/3.21  (assume-push @p1084 @t52)
% 3.01/3.21  (step @p579 :rule instantiate :premises (@p1084) :args (@t227))
% 3.01/3.21  (step-pop @p1085 :rule scope :premises (@p579))
% 3.01/3.21  (step @p580 :rule process_scope :premises (@p1085) :args (@t228))
% 3.01/3.21  (step @p582 :rule implies_elim :premises (@p580))
% 3.01/3.21  (step @p583 :rule eq-symm :args (@t229 @t118))
% 3.01/3.21  (step @p584 :rule cong :premises (@p583) :args (@t230))
% 3.01/3.21  (step @p585 :rule cong :premises (@p584) :args (@t231))
% 3.01/3.21  (step @p586 :rule refl :args (@t120))
% 3.01/3.21  (step @p587 :rule cong :premises (@p586 @p585) :args ((=> @t120 @t231)))
% 3.01/3.21  (assume-push @p1086 @t120)
% 3.01/3.21  (step @p589 :rule instantiate :premises (@p1086) :args (@t98))
% 3.01/3.21  (step-pop @p1087 :rule scope :premises (@p589))
% 3.01/3.21  (step @p590 :rule process_scope :premises (@p1087) :args (@t231))
% 3.01/3.21  (step @p592 :rule eq_resolve :premises (@p590 @p587))
% 3.01/3.21  (step @p593 :rule implies_elim :premises (@p592))
% 3.01/3.21  (step @p594 :rule refl :args (@t236))
% 3.01/3.21  (step @p595 :rule bool-double-not-elim :args (@t232))
% 3.01/3.21  (step @p596 :rule nary_cong :premises (@p595 @p594) :args ((or (not @t237) @t236)))
% 3.01/3.21  (step @p597 :rule eq-symm :args (@t234 @t229))
% 3.01/3.21  (step @p598 :rule cong :premises (@p597) :args (@t238))
% 3.01/3.21  (step @p599 :rule refl :args (@t237))
% 3.01/3.21  (step @p600 :rule cong :premises (@p599 @p598) :args ((=> @t237 @t238)))
% 3.01/3.21  (assume-push @p1088 @t237)
% 3.01/3.21  (step @p602 :rule skolemize :premises (@p1088))
% 3.01/3.21  (step-pop @p1089 :rule scope :premises (@p602))
% 3.01/3.21  (step @p603 :rule process_scope :premises (@p1089) :args (@t238))
% 3.01/3.21  (step @p605 :rule eq_resolve :premises (@p603 @p600))
% 3.01/3.21  (step @p606 :rule implies_elim :premises (@p605))
% 3.01/3.21  (step @p607 :rule eq_resolve :premises (@p606 @p596))
% 3.01/3.21  (assume-push @p1090 @t52)
% 3.01/3.21  (step @p609 :rule instantiate :premises (@p1090) :args (@t239))
% 3.01/3.21  (step-pop @p1091 :rule scope :premises (@p609))
% 3.01/3.21  (step @p610 :rule process_scope :premises (@p1091) :args (@t240))
% 3.01/3.21  (step @p612 :rule implies_elim :premises (@p610))
% 3.01/3.21  (assume-push @p1092 @t132)
% 3.01/3.21  (step @p614 :rule instantiate :premises (@p1092) :args (@t239))
% 3.01/3.21  (step-pop @p1093 :rule scope :premises (@p614))
% 3.01/3.21  (step @p615 :rule process_scope :premises (@p1093) :args (@t234))
% 3.01/3.21  (step @p617 :rule implies_elim :premises (@p615))
% 3.01/3.21  (step @p618 :rule cnf_equiv_neg2 :args (@t235))
% 3.01/3.21  (assume-push @p1094 @t132)
% 3.01/3.21  (step @p620 :rule instantiate :premises (@p1094) :args (@t98))
% 3.01/3.21  (step-pop @p1095 :rule scope :premises (@p620))
% 3.01/3.21  (step @p621 :rule process_scope :premises (@p1095) :args (@t229))
% 3.01/3.21  (step @p623 :rule implies_elim :premises (@p621))
% 3.01/3.21  (step @p624 :rule chain_m_resolution :premises (@p623 @p618 @p617) :args ((or @t179 @t235) @t241 @t242))
% 3.01/3.21  (step @p625 :rule cnf_equiv_neg1 :args (@t138))
% 3.01/3.21  (step @p626 :rule reordering :premises (@p625) :args ((or @t124 @t130 @t138)))
% 3.01/3.21  (assume-push @p1096 @t74)
% 3.01/3.21  (step @p628 :rule instantiate :premises (@p1096) :args (@t227))
% 3.01/3.21  (step-pop @p1097 :rule scope :premises (@p628))
% 3.01/3.21  (step @p629 :rule process_scope :premises (@p1097) :args (@t243))
% 3.01/3.21  (step @p631 :rule implies_elim :premises (@p629))
% 3.01/3.21  (step @p632 :rule cnf_equiv_neg2 :args (@t244))
% 3.01/3.21  (step @p633 :rule reordering :premises (@p632) :args ((or (not @t243) @t244 @t245)))
% 3.01/3.21  ; trust TRUST THEORY_LEMMA
% 3.01/3.21  (step @p634 :rule trust :premises () :args ((or @t246 (not @t244))))
% 3.01/3.21  (step @p635 :rule refl :args (@t132))
% 3.01/3.21  (step @p636 :rule nary_cong :premises (@p356 @p350 @p635) :args ((or @t181 @t180 @t132)))
% 3.01/3.21  (step @p637 :rule cnf_equiv_pos1 :args (@t176))
% 3.01/3.21  (step @p638 :rule eq_resolve :premises (@p637 @p636))
% 3.01/3.21  (step @p639 :rule reordering :premises (@p638) :args ((or @t69 @t132 @t181)))
% 3.01/3.21  (assume-push @p1098 @t132)
% 3.01/3.21  (step @p641 :rule instantiate :premises (@p1098) :args (@t79))
% 3.01/3.21  (step-pop @p1099 :rule scope :premises (@p641))
% 3.01/3.21  (step @p642 :rule process_scope :premises (@p1099) :args (@t247))
% 3.01/3.21  (step @p644 :rule implies_elim :premises (@p642))
% 3.01/3.21  (assume-push @p1100 @t80)
% 3.01/3.21  (assume-push @p1101 @t246)
% 3.01/3.21  (assume-push @p1102 @t80)
% 3.01/3.21  (assume-push @p1103 @t246)
% 3.01/3.21  (step @p649 :rule true_intro :premises (@p1100))
% 3.01/3.21  (step @p650 :rule refl :args (@t78))
% 3.01/3.21  (step @p651 :rule ho_cong :premises (@p1101 @p650))
% 3.01/3.21  (step @p652 :rule trans :premises (@p651 @p649))
% 3.01/3.21  (step @p653 :rule true_elim :premises (@p652))
% 3.01/3.21  (step-pop @p1104 :rule scope :premises (@p653))
% 3.01/3.21  (step-pop @p1105 :rule scope :premises (@p1104))
% 3.01/3.21  (step @p654 :rule process_scope :premises (@p1105) :args (@t248))
% 3.01/3.21  (step @p657 :rule and_intro :premises (@p1100 @p1101))
% 3.01/3.21  (step @p658 :rule modus_ponens :premises (@p657 @p654))
% 3.01/3.21  (step-pop @p1106 :rule scope :premises (@p658))
% 3.01/3.21  (step-pop @p1107 :rule scope :premises (@p1106))
% 3.01/3.21  (step @p659 :rule process_scope :premises (@p1107) :args (@t248))
% 3.01/3.21  (step @p662 :rule implies_elim :premises (@p659))
% 3.01/3.21  (step @p663 :rule cnf_and_neg :args (@t249))
% 3.01/3.21  (step @p664 :rule resolution :premises (@p663 @p662) :args (true @t249))
% 3.01/3.21  (step @p665 :rule reordering :premises (@p664) :args ((or @t248 @t115 @t250)))
% 3.01/3.21  (step @p666 :rule cnf_equiv_neg2 :args (@t251))
% 3.01/3.21  (step @p667 :rule reordering :premises (@p666) :args ((or (not @t247) @t251 (not @t248))))
% 3.01/3.21  ; trust TRUST THEORY_LEMMA
% 3.01/3.21  (step @p668 :rule trust :premises () :args ((or @t252 (not @t251))))
% 3.01/3.21  (assume-push @p1108 @t252)
% 3.01/3.21  (assume-push @p1109 @t246)
% 3.01/3.21  (assume-push @p1110 @t240)
% 3.01/3.21  (assume-push @p1111 @t240)
% 3.01/3.21  (assume-push @p1112 @t246)
% 3.01/3.21  (assume-push @p1113 @t252)
% 3.01/3.21  (step @p675 :rule true_intro :premises (@p1110))
% 3.01/3.21  (step @p676 :rule refl :args (@t233))
% 3.01/3.21  (step @p677 :rule trans :premises (@p1108 @p1109))
% 3.01/3.21  (step @p678 :rule ho_cong :premises (@p677 @p676))
% 3.01/3.21  (step @p679 :rule trans :premises (@p678 @p675))
% 3.01/3.21  (step @p680 :rule true_elim :premises (@p679))
% 3.01/3.21  (step-pop @p1114 :rule scope :premises (@p680))
% 3.01/3.21  (step-pop @p1115 :rule scope :premises (@p1114))
% 3.01/3.21  (step-pop @p1116 :rule scope :premises (@p1115))
% 3.01/3.21  (step @p681 :rule process_scope :premises (@p1116) :args (@t234))
% 3.01/3.21  (step @p685 :rule and_intro :premises (@p1110 @p1109 @p1108))
% 3.01/3.21  (step @p686 :rule modus_ponens :premises (@p685 @p681))
% 3.01/3.21  (step-pop @p1117 :rule scope :premises (@p686))
% 3.01/3.21  (step-pop @p1118 :rule scope :premises (@p1117))
% 3.01/3.21  (step-pop @p1119 :rule scope :premises (@p1118))
% 3.01/3.21  (step @p687 :rule process_scope :premises (@p1119) :args (@t234))
% 3.01/3.21  (step @p691 :rule implies_elim :premises (@p687))
% 3.01/3.21  (step @p692 :rule cnf_and_neg :args (@t253))
% 3.01/3.21  (step @p693 :rule resolution :premises (@p692 @p691) :args (true @t253))
% 3.01/3.21  (step @p694 :rule reordering :premises (@p693) :args ((or (not @t252) @t250 @t234 @t254)))
% 3.01/3.21  (assume-push @p1120 @t252)
% 3.01/3.21  (assume-push @p1121 @t246)
% 3.01/3.21  (assume-push @p1122 @t89)
% 3.01/3.21  (assume-push @p1123 @t89)
% 3.01/3.21  (assume-push @p1124 @t246)
% 3.01/3.21  (assume-push @p1125 @t252)
% 3.01/3.21  (step @p701 :rule true_intro :premises (@p1122))
% 3.01/3.21  (step @p414 :rule refl :args (@t88))
% 3.01/3.21  (step @p702 :rule trans :premises (@p1120 @p1121))
% 3.01/3.21  (step @p703 :rule ho_cong :premises (@p702 @p414))
% 3.01/3.21  (step @p704 :rule trans :premises (@p703 @p701))
% 3.01/3.21  (step @p705 :rule true_elim :premises (@p704))
% 3.01/3.21  (step-pop @p1126 :rule scope :premises (@p705))
% 3.01/3.21  (step-pop @p1127 :rule scope :premises (@p1126))
% 3.01/3.21  (step-pop @p1128 :rule scope :premises (@p1127))
% 3.01/3.21  (step @p706 :rule process_scope :premises (@p1128) :args (@t229))
% 3.01/3.21  (step @p710 :rule and_intro :premises (@p1122 @p1121 @p1120))
% 3.01/3.21  (step @p711 :rule modus_ponens :premises (@p710 @p706))
% 3.01/3.21  (step-pop @p1129 :rule scope :premises (@p711))
% 3.01/3.21  (step-pop @p1130 :rule scope :premises (@p1129))
% 3.01/3.21  (step-pop @p1131 :rule scope :premises (@p1130))
% 3.01/3.21  (step @p712 :rule process_scope :premises (@p1131) :args (@t229))
% 3.01/3.21  (step @p716 :rule implies_elim :premises (@p712))
% 3.01/3.21  (step @p717 :rule cnf_and_neg :args (@t255))
% 3.01/3.21  (step @p718 :rule resolution :premises (@p717 @p716) :args (true @t255))
% 3.01/3.21  (step @p719 :rule chain_m_resolution :premises (@p618 @p718 @p694 @p668 @p667 @p665 @p644 @p639 @p535 @p348 @p634 @p342 @p633 @p347 @p331 @p631 @p336) :args ((or @t105 @t140 @t156 @t178 @t168 @t115 @t245 @t256 @t235 @t254) (@list false false false false false false false false true false false false true false false false) (@list @t229 @t234 @t252 @t251 @t248 @t247 @t132 @t176 @t177 @t246 @t173 @t244 @t69 @t170 @t243 @t71)))
% 3.01/3.21  (step @p720 :rule cnf_equiv_neg1 :args (@t176))
% 3.01/3.21  (step @p721 :rule reordering :premises (@p720) :args ((or @t175 @t132 @t176)))
% 3.01/3.21  (step @p722 :rule chain_m_resolution :premises (@p721 @p530 @p405 @p386 @p388 @p382 @p384 @p368 @p377 @p719 @p526 @p515 @p496 @p624) :args ((or @t105 @t140 @t178 @t189 @t115 @t245 @t85 @t187 @t256 @t235 @t254) (@list true false false true true true true true true false true false true) (@list @t176 @t69 @t177 @t71 @t173 @t63 @t170 @t76 @t74 @t155 @t208 @t203 @t132)))
% 3.01/3.21  (step @p723 :rule chain_m_resolution :premises (@p721 @p362 @p405 @p348 @p388 @p342 @p384 @p545 @p377) :args ((or @t105 @t169 @t74 @t155 @t132 @t178 @t189 @t187) (@list true false true true false true false true) @t219))
% 3.01/3.21  (step @p724 :rule chain_m_resolution :premises (@p393 @p386 @p639 @p382 @p347 @p548 @p336 @p723 @p324 @p215 @p543 @p541 @p722 @p319 @p197 @p200 @p201 @p626 @p481 @p435 @p444 @p146 @p141 @p139 @p131 @p624 @p607 @p593) :args ((or @t124 @t94 @t105 @t194 @t189 @t115 @t245 @t142 @t187 @t256 @t198 @t254) (@list false true true true true false false true false false true false true true false true false true true true true false false false true true true) (@list @t177 @t176 @t173 @t69 @t170 @t71 @t74 @t155 @t87 @t144 @t136 @t140 @t178 @t85 @t146 @t141 @t138 @t147 @t130 @t195 @t116 @t107 @t114 @t108 @t132 @t235 @t232)))
% 3.01/3.21  (assume-push @p1132 @t94)
% 3.01/3.21  (step @p726 :rule instantiate :premises (@p1132) :args (@t258))
% 3.01/3.21  (step-pop @p1133 :rule scope :premises (@p726))
% 3.01/3.21  (step @p727 :rule process_scope :premises (@p1133) :args (@t259))
% 3.01/3.21  (step @p729 :rule implies_elim :premises (@p727))
% 3.01/3.21  (step @p730 :rule cnf_equiv_pos2 :args (@t138))
% 3.01/3.21  (step @p731 :rule reordering :premises (@p730) :args ((or @t124 @t137 @t197)))
% 3.01/3.21  (assume-push @p1134 @t140)
% 3.01/3.21  (step @p733 :rule instantiate :premises (@p1134) :args (@t258))
% 3.01/3.21  (step-pop @p1135 :rule scope :premises (@p733))
% 3.01/3.21  (step @p734 :rule process_scope :premises (@p1135) :args ((not @t259)))
% 3.01/3.21  (step @p736 :rule implies_elim :premises (@p734))
% 3.01/3.21  (step @p737 :rule chain_m_resolution :premises (@p393 @p528 @p639 @p342 @p347 @p331 @p336) :args ((or @t105 @t140 @t155 @t132 @t168 @t216) (@list false true false true false false) @t260))
% 3.01/3.21  (step @p738 :rule chain_m_resolution :premises (@p721 @p362 @p405 @p533 @p388 @p382 @p384 @p368 @p377 @p737 @p324 @p484 @p215 @p483 @p199 @p736 @p731 @p184 @p179 @p729 @p169 @p724 @p624 @p612 @p607 @p593 @p582 @p577 @p146 @p141 @p139 @p131 @p118 @p113 @p99 @p98 @p93 @p88 @p83 @p78 @p73 @p68 @p15 @p62 @p54 @p46) :args ((or @t62 @t44 @t56) (@list true false true true true true true true true true false false true false true true false false false false false true false true true false false true false false false true false false false false false false false false false false false false false) (@list @t176 @t69 @t177 @t71 @t173 @t63 @t170 @t76 @t74 @t155 @t178 @t87 @t146 @t144 @t140 @t138 @t136 @t85 @t259 @t130 @t94 @t132 @t240 @t235 @t232 @t228 @t120 @t116 @t107 @t114 @t108 @t105 @t90 @t99 @t89 @t97 @t93 @t84 @t81 @t80 @t57 @t46 @t186 @t188 @t64)))
% 3.01/3.21  (step @p739 :rule refl :args (@t194))
% 3.01/3.21  (step @p740 :rule nary_cong :premises (@p739 @p32 @p64) :args ((or @t194 @t66 @t57)))
% 3.01/3.21  (step @p741 :rule cnf_equiv_pos1 :args (@t81))
% 3.01/3.21  (step @p742 :rule eq_resolve :premises (@p741 @p740))
% 3.01/3.21  (step @p743 :rule reordering :premises (@p742) :args ((or @t62 @t57 @t194)))
% 3.01/3.21  (step @p744 :rule refl :args (@t262))
% 3.01/3.21  (step @p745 :rule nary_cong :premises (@p164 @p744) :args ((or @t131 @t262)))
% 3.01/3.21  (step @p746 :rule bool-double-not-elim :args (@t262))
% 3.01/3.21  (step @p747 :rule refl :args (@t129))
% 3.01/3.21  (step @p748 :rule cong :premises (@p747 @p746) :args ((=> @t129 @t264)))
% 3.01/3.21  (assume-push @p1136 @t129)
% 3.01/3.21  (step @p750 :rule skolemize :premises (@p1136))
% 3.01/3.21  (step-pop @p1137 :rule scope :premises (@p750))
% 3.01/3.21  (step @p751 :rule process_scope :premises (@p1137) :args (@t264))
% 3.01/3.21  (step @p753 :rule eq_resolve :premises (@p751 @p748))
% 3.01/3.21  (step @p754 :rule implies_elim :premises (@p753))
% 3.01/3.21  (step @p755 :rule eq_resolve :premises (@p754 @p745))
% 3.01/3.21  (assume-push @p1138 @t108)
% 3.01/3.21  (step @p757 :rule instantiate :premises (@p1138) :args ((@list @t261)))
% 3.01/3.21  (step-pop @p1139 :rule scope :premises (@p757))
% 3.01/3.21  (step @p758 :rule process_scope :premises (@p1139) :args (@t265))
% 3.01/3.21  (step @p760 :rule implies_elim :premises (@p758))
% 3.01/3.21  (step @p761 :rule cnf_equiv_pos1 :args (@t265))
% 3.01/3.21  (step @p762 :rule reordering :premises (@p761) :args ((or @t263 @t107 (not @t265))))
% 3.01/3.21  (step @p763 :rule cnf_equiv_pos1 :args (@t266))
% 3.01/3.21  (step @p764 :rule reordering :premises (@p763) :args ((or @t117 @t54 (not @t266))))
% 3.01/3.21  (step @p765 :rule eq-symm :args (@t54 @t107))
% 3.01/3.21  (step @p766 :rule cong :premises (@p119 @p765) :args ((=> @t108 @t267)))
% 3.01/3.21  (assume-push @p1140 @t108)
% 3.01/3.21  (step @p768 :rule instantiate :premises (@p1140) :args ((@list @t53)))
% 3.01/3.21  (step-pop @p1141 :rule scope :premises (@p768))
% 3.01/3.21  (step @p769 :rule process_scope :premises (@p1141) :args (@t267))
% 3.01/3.21  (step @p771 :rule eq_resolve :premises (@p769 @p766))
% 3.01/3.21  (step @p772 :rule implies_elim :premises (@p771))
% 3.01/3.21  (step @p773 :rule chain_m_resolution :premises (@p772 @p764 @p762 @p760) :args ((or @t263 @t111 @t54) @t268 (@list @t266 @t107 @t265)))
% 3.01/3.21  (step @p774 :rule cnf_equiv_neg1 :args (@t146))
% 3.01/3.21  (step @p775 :rule reordering :premises (@p774) :args ((or @t81 @t138 @t146)))
% 3.01/3.21  (step @p776 :rule cnf_equiv_pos1 :args (@t269))
% 3.01/3.21  (step @p777 :rule reordering :premises (@p776) :args ((or @t213 @t195 (not @t269))))
% 3.01/3.21  (step @p778 :rule eq-symm :args (@t195 @t207))
% 3.01/3.21  (step @p779 :rule cong :premises (@p503 @p778) :args ((=> @t208 @t270)))
% 3.01/3.21  (assume-push @p1142 @t208)
% 3.01/3.21  (step @p781 :rule instantiate :premises (@p1142) :args (@t96))
% 3.01/3.21  (step-pop @p1143 :rule scope :premises (@p781))
% 3.01/3.21  (step @p782 :rule process_scope :premises (@p1143) :args (@t270))
% 3.01/3.21  (step @p784 :rule eq_resolve :premises (@p782 @p779))
% 3.01/3.21  (step @p785 :rule implies_elim :premises (@p784))
% 3.01/3.21  (step @p786 :rule chain_m_resolution :premises (@p785 @p777 @p512 @p501) :args ((or @t204 @t214 @t195) @t268 (@list @t269 @t207 @t209)))
% 3.01/3.21  (step @p787 :rule cnf_equiv_neg1 :args (@t173))
% 3.01/3.21  (step @p788 :rule reordering :premises (@p787) :args ((or @t109 @t170 @t173)))
% 3.01/3.21  (step @p789 :rule chain_m_resolution :premises (@p407 @p535 @p405 @p348 @p388 @p788 @p384 @p368 @p377) :args ((or @t109 @t140 @t74 @t156 @t178 @t179 @t189 @t187) (@list false false true true false true true true) @t219))
% 3.01/3.21  (step @p790 :rule cnf_equiv_pos2 :args (@t173))
% 3.01/3.21  (step @p791 :rule reordering :premises (@p790) :args ((or @t109 @t172 @t185)))
% 3.01/3.21  (step @p792 :rule chain_m_resolution :premises (@p530 @p386 @p355 @p791 @p347 @p331 @p336 @p789 @p526 @p786 @p496) :args ((or @t109 @t140 @t178 @t179 @t189 @t187 @t195) (@list false false true true false false false false true false) @t271))
% 3.01/3.21  (assume-push @p1144 @t140)
% 3.01/3.21  (step @p794 :rule instantiate :premises (@p1144) :args ((@list @t206)))
% 3.01/3.21  (step-pop @p1145 :rule scope :premises (@p794))
% 3.01/3.21  (step @p795 :rule process_scope :premises (@p1145) :args (@t213))
% 3.01/3.21  (step @p797 :rule implies_elim :premises (@p795))
% 3.01/3.21  (step @p798 :rule cnf_equiv_neg1 :args (@t272))
% 3.01/3.21  (step @p799 :rule reordering :premises (@p798) :args ((or @t207 @t259 @t272)))
% 3.01/3.21  (step @p800 :rule refl :args (@t273))
% 3.01/3.21  (step @p801 :rule nary_cong :premises (@p517 @p800) :args ((or @t215 @t273)))
% 3.01/3.21  (step @p802 :rule eq-symm :args (@t259 @t207))
% 3.01/3.21  (step @p803 :rule cong :premises (@p802) :args (@t274))
% 3.01/3.21  (step @p804 :rule refl :args (@t214))
% 3.01/3.21  (step @p805 :rule cong :premises (@p804 @p803) :args ((=> @t214 @t274)))
% 3.01/3.21  (assume-push @p1146 @t214)
% 3.01/3.21  (step @p807 :rule skolemize :premises (@p1146))
% 3.01/3.21  (step-pop @p1147 :rule scope :premises (@p807))
% 3.01/3.21  (step @p808 :rule process_scope :premises (@p1147) :args (@t274))
% 3.01/3.21  (step @p810 :rule eq_resolve :premises (@p808 @p805))
% 3.01/3.21  (step @p811 :rule implies_elim :premises (@p810))
% 3.01/3.21  (step @p812 :rule eq_resolve :premises (@p811 @p801))
% 3.01/3.21  (step @p813 :rule cnf_equiv_pos2 :args (@t211))
% 3.01/3.21  (step @p814 :rule reordering :premises (@p813) :args ((or @t207 @t143 @t212)))
% 3.01/3.21  (step @p815 :rule chain_m_resolution :premises (@p362 @p348 @p355 @p788 @p347 @p548 @p336 @p324 @p215 @p543 @p541 @p814 @p510 @p812 @p799 @p797 @p736) :args ((or @t109 @t169 @t178 @t168 @t179) (@list true false false true true false true false false true true false false false true true) @t275))
% 3.01/3.21  (step @p816 :rule chain_m_resolution :premises (@p407 @p393 @p405 @p386 @p388 @p791 @p384 @p545 @p377 @p815 @p324 @p215 @p543 @p814 @p510 @p812 @p799 @p541 @p736 @p797 @p792 @p319 @p775 @p449 @p435 @p444) :args ((or @t81 @t120 @t116 @t94 @t109 @t179 @t189 @t187) (@list false false false true true true false true true true false false true false false false true true true false true false true true true) (@list @t176 @t69 @t177 @t71 @t173 @t63 @t170 @t76 @t74 @t155 @t87 @t144 @t85 @t211 @t208 @t272 @t136 @t259 @t207 @t140 @t178 @t146 @t138 @t130 @t195)))
% 3.01/3.21  (step @p817 :rule cnf_equiv_pos2 :args (@t146))
% 3.01/3.21  (step @p818 :rule reordering :premises (@p817) :args ((or @t81 @t197 @t201)))
% 3.01/3.21  (step @p819 :rule chain_m_resolution :premises (@p407 @p393 @p405 @p528 @p388 @p788 @p384 @p368 @p377) :args ((or @t109 @t140 @t74 @t155 @t179 @t216 @t189 @t187) (@list false false false true false true true true) @t219))
% 3.01/3.21  (step @p820 :rule chain_m_resolution :premises (@p362 @p533 @p355 @p791 @p347 @p331 @p336 @p819 @p324 @p484 @p215 @p818 @p199 @p736 @p190 @p184 @p179 @p729 @p169 @p816 @p131 @p773 @p755) :args ((or @t81 @t120 @t116 @t179 @t189 @t187 @t54) (@list true false true true false false false true false false true false true false false false false false false false true false) (@list @t177 @t176 @t173 @t69 @t170 @t71 @t74 @t155 @t178 @t87 @t146 @t144 @t140 @t138 @t136 @t85 @t259 @t130 @t94 @t105 @t108 @t262)))
% 3.01/3.21  (assume-push @p1148 @t116)
% 3.01/3.21  (step @p822 :rule instantiate :premises (@p1148) :args (@t92))
% 3.01/3.21  (step-pop @p1149 :rule scope :premises (@p822))
% 3.01/3.21  (step @p823 :rule process_scope :premises (@p1149) :args (@t193))
% 3.01/3.21  (step @p825 :rule implies_elim :premises (@p823))
% 3.01/3.21  (assume-push @p1150 @t116)
% 3.01/3.21  (step @p827 :rule instantiate :premises (@p1150) :args (@t98))
% 3.01/3.21  (step-pop @p1151 :rule scope :premises (@p827))
% 3.01/3.21  (step @p828 :rule process_scope :premises (@p1151) :args (@t256))
% 3.01/3.21  (step @p830 :rule implies_elim :premises (@p828))
% 3.01/3.21  (step @p831 :rule cnf_equiv_neg1 :args (@t99))
% 3.01/3.21  (step @p832 :rule reordering :premises (@p831) :args ((or @t89 @t93 @t99)))
% 3.01/3.21  (step @p833 :rule cnf_equiv_pos2 :args (@t130))
% 3.01/3.21  (step @p834 :rule reordering :premises (@p833) :args ((or @t129 @t128 @t137)))
% 3.01/3.21  (step @p835 :rule chain_m_resolution :premises (@p408 @p324 @p319 @p215 @p775 @p199 @p736 @p449 @p184 @p179 @p729 @p834 @p118 @p113 @p832 @p825 @p830) :args ((or @t81 @t120 @t129 @t128 @t179 @t189 @t187) (@list true true false false false true true false false false true true false false true true) (@list @t155 @t178 @t87 @t146 @t144 @t140 @t138 @t136 @t85 @t259 @t130 @t105 @t90 @t99 @t93 @t89)))
% 3.01/3.21  (step @p836 :rule cnf_equiv_neg1 :args (@t130))
% 3.01/3.21  (step @p837 :rule reordering :premises (@p836) :args ((or @t129 @t94 @t130)))
% 3.01/3.21  (step @p838 :rule chain_m_resolution :premises (@p407 @p535 @p405 @p533 @p388 @p382 @p384 @p368 @p377 @p531 @p526 @p786 @p496) :args ((or @t105 @t140 @t179 @t216 @t189 @t187 @t195) @t217 @t218))
% 3.01/3.21  (step @p839 :rule chain_m_resolution :premises (@p812 @p510 @p799 @p814 @p736 @p797 @p838 @p549 @p484 @p818 @p190 @p837 @p444 @p835 @p118 @p113 @p832 @p830 @p825 @p820 @p572 @p576 @p574 @p563 @p555 @p162) :args ((or @t81 @t120 @t49 @t189 @t187 @t54) (@list true false true true true false false false true false false true true true false false true true false false false false false false false) (@list @t208 @t272 @t211 @t259 @t207 @t140 @t85 @t178 @t146 @t138 @t130 @t195 @t94 @t105 @t90 @t99 @t89 @t93 @t116 @t132 @t221 @t122 @t224 @t220 @t123)))
% 3.01/3.21  (step @p840 :rule chain_m_resolution :premises (@p721 @p362 @p405 @p348 @p388 @p788 @p384 @p368 @p377) :args ((or @t109 @t140 @t74 @t155 @t132 @t178 @t189 @t187) (@list true false true true false true true true) @t219))
% 3.01/3.21  (step @p841 :rule chain_m_resolution :premises (@p393 @p386 @p639 @p791 @p347 @p331 @p336 @p840 @p319 @p324 @p775 @p215 @p731 @p199 @p736 @p169 @p184 @p179 @p729 @p624 @p607 @p593) :args ((or @t81 @t124 @t116 @t109 @t128 @t189 @t187) (@list false true true true false false false true true false false true false true false false false false true true true) (@list @t177 @t176 @t173 @t69 @t170 @t71 @t74 @t178 @t155 @t146 @t87 @t138 @t144 @t140 @t130 @t136 @t85 @t259 @t132 @t235 @t232)))
% 3.01/3.21  (step @p842 :rule chain_m_resolution :premises (@p721 @p530 @p405 @p528 @p388 @p788 @p384 @p368 @p377) :args ((or @t109 @t140 @t74 @t156 @t132 @t216 @t189 @t187) (@list true false false true false true true true) @t219))
% 3.01/3.21  (step @p843 :rule chain_m_resolution :premises (@p535 @p533 @p639 @p791 @p347 @p331 @p336 @p842 @p526 @p786 @p496) :args ((or @t109 @t140 @t132 @t216 @t189 @t187 @t195) (@list true true true true false false false false true false) @t271))
% 3.01/3.21  (step @p844 :rule chain_m_resolution :premises (@p393 @p528 @p639 @p788 @p347 @p548 @p336 @p324 @p215 @p543 @p541 @p814 @p510 @p812 @p799 @p797 @p736) :args ((or @t109 @t169 @t132 @t168 @t216) (@list false true false true true false true false false true true false false false true true) @t275))
% 3.01/3.21  (step @p845 :rule chain_m_resolution :premises (@p721 @p362 @p405 @p533 @p388 @p791 @p384 @p545 @p377 @p844 @p324 @p215 @p543 @p814 @p510 @p812 @p799 @p541 @p736 @p797 @p843 @p484 @p818 @p626 @p435 @p444 @p841 @p131 @p773 @p755 @p624 @p607 @p593) :args ((or @t81 @t124 @t116 @t189 @t187 @t54) (@list true false true true true true false true true true false false true false false false true true true false false true false true true true false true false true true true) (@list @t176 @t69 @t177 @t71 @t173 @t63 @t170 @t76 @t74 @t155 @t87 @t144 @t85 @t211 @t208 @t272 @t136 @t259 @t207 @t140 @t178 @t146 @t138 @t130 @t195 @t94 @t105 @t108 @t262 @t132 @t235 @t232)))
% 3.01/3.21  (step @p846 :rule chain_m_resolution :premises (@p535 @p348 @p639 @p342 @p347 @p331 @p336) :args ((or @t105 @t140 @t156 @t132 @t178 @t168) (@list true true false true false false) @t260))
% 3.01/3.21  (step @p847 :rule chain_m_resolution :premises (@p721 @p530 @p405 @p386 @p388 @p382 @p384 @p368 @p377 @p846 @p526 @p786 @p496) :args ((or @t105 @t140 @t132 @t178 @t189 @t187 @t195) (@list true false false true true true true true true false true false) @t218))
% 3.01/3.21  (step @p848 :rule chain_m_resolution :premises (@p393 @p386 @p639 @p382 @p347 @p548 @p336 @p723 @p324 @p215 @p543 @p814 @p510 @p812 @p799 @p541 @p736 @p797 @p847 @p319 @p775 @p731 @p837 @p444 @p118 @p113 @p832 @p825 @p830 @p624 @p607 @p593) :args ((or @t81 @t124 @t129 @t94 @t189 @t187) (@list false true true true true false false true false false true false false false true true true false true false true false true true false false true true true true true) (@list @t177 @t176 @t173 @t69 @t170 @t71 @t74 @t155 @t87 @t144 @t85 @t211 @t208 @t272 @t136 @t259 @t207 @t140 @t178 @t146 @t138 @t130 @t195 @t105 @t90 @t99 @t93 @t89 @t132 @t235 @t232)))
% 3.01/3.21  (step @p849 :rule chain_m_resolution :premises (@p721 @p362 @p405 @p533 @p388 @p382 @p384 @p368 @p377 @p737 @p484 @p324 @p818 @p215 @p626 @p199 @p736 @p834 @p184 @p179 @p729 @p848 @p118 @p113 @p832 @p830 @p825 @p845 @p624 @p607 @p593 @p839 @p743 @p24 @p30 @p738 @p15 @p62 @p54 @p46) :args ((or @t62 @t44) (@list true false true true true true true true true false true true false false false true true false false false false true false false true true false true true true false true true true true false false false false) (@list @t176 @t69 @t177 @t71 @t173 @t63 @t170 @t76 @t74 @t178 @t155 @t146 @t87 @t138 @t144 @t140 @t130 @t136 @t85 @t259 @t94 @t105 @t90 @t99 @t89 @t93 @t116 @t132 @t235 @t232 @t120 @t81 @t54 @t57 @t52 @t46 @t186 @t188 @t64)))
% 3.01/3.21  (assume-push @p1152 @t44)
% 3.01/3.21  (step @p851 :rule instantiate :premises (@p1152) :args (@t276))
% 3.01/3.21  (step-pop @p1153 :rule scope :premises (@p851))
% 3.01/3.21  (step @p852 :rule process_scope :premises (@p1153) :args (@t225))
% 3.01/3.21  (step @p854 :rule implies_elim :premises (@p852))
% 3.01/3.21  (assume-push @p1154 @t132)
% 3.01/3.21  (step @p856 :rule instantiate :premises (@p1154) :args (@t276))
% 3.01/3.21  (step-pop @p1155 :rule scope :premises (@p856))
% 3.01/3.21  (step @p857 :rule process_scope :premises (@p1155) :args (@t122))
% 3.01/3.21  (step @p859 :rule implies_elim :premises (@p857))
% 3.01/3.21  (assume-push @p1156 @t44)
% 3.01/3.21  (step @p861 :rule instantiate :premises (@p1156) :args (@t239))
% 3.01/3.21  (step-pop @p1157 :rule scope :premises (@p861))
% 3.01/3.21  (step @p862 :rule process_scope :premises (@p1157) :args (@t277))
% 3.01/3.21  (step @p864 :rule implies_elim :premises (@p862))
% 3.01/3.21  (assume-push @p1158 @t44)
% 3.01/3.21  (step @p866 :rule instantiate :premises (@p1158) :args (@t98))
% 3.01/3.21  (step-pop @p1159 :rule scope :premises (@p866))
% 3.01/3.21  (step @p867 :rule process_scope :premises (@p1159) :args (@t278))
% 3.01/3.21  (step @p869 :rule implies_elim :premises (@p867))
% 3.01/3.21  (step @p870 :rule cnf_equiv_neg1 :args (@t235))
% 3.01/3.21  (step @p871 :rule reordering :premises (@p870) :args ((or @t229 @t234 @t235)))
% 3.01/3.21  (assume-push @p1160 @t44)
% 3.01/3.21  (step @p873 :rule instantiate :premises (@p1160) :args (@t134))
% 3.01/3.21  (step-pop @p1161 :rule scope :premises (@p873))
% 3.01/3.21  (step @p874 :rule process_scope :premises (@p1161) :args (@t223))
% 3.01/3.21  (step @p876 :rule implies_elim :premises (@p874))
% 3.01/3.21  (step @p877 :rule cnf_equiv_neg1 :args (@t57))
% 3.01/3.21  (step @p878 :rule reordering :premises (@p877) :args ((or @t47 @t52 @t57)))
% 3.01/3.21  (step @p879 :rule chain_m_resolution :premises (@p393 @p386 @p639 @p791 @p347 @p331 @p336 @p840 @p319 @p324 @p200 @p215 @p190 @p199 @p736 @p169 @p184 @p179 @p729) :args ((or @t120 @t116 @t109 @t132 @t194 @t128 @t189 @t187) (@list false true true true false false false true true false false false false true false false false false) (@list @t177 @t176 @t173 @t69 @t170 @t71 @t74 @t178 @t155 @t146 @t87 @t138 @t144 @t140 @t130 @t136 @t85 @t259)))
% 3.01/3.21  (step @p880 :rule chain_m_resolution :premises (@p324 @p215 @p362 @p543 @p721 @p814 @p405 @p510 @p388 @p533 @p812 @p384 @p791 @p799 @p377 @p545 @p541 @p736 @p797 @p844 @p843 @p484 @p483 @p449 @p435 @p444 @p879 @p131 @p773 @p755) :args ((or @t120 @t116 @t132 @t194 @t189 @t187 @t54) (@list false false false false true false false true true false true true false true false true true true true false false true true true true true false true false) (@list @t87 @t155 @t144 @t176 @t85 @t69 @t211 @t71 @t177 @t208 @t63 @t173 @t272 @t76 @t170 @t136 @t259 @t207 @t74 @t140 @t178 @t146 @t138 @t130 @t195 @t94 @t105 @t108 @t262)))
% 3.01/3.21  (step @p881 :rule chain_m_resolution :premises (@p393 @p386 @p639 @p382 @p347 @p548 @p336 @p723 @p324 @p215 @p543 @p814 @p510 @p812 @p799 @p541 @p736 @p797 @p847 @p319 @p200 @p190 @p837 @p444 @p118 @p113 @p832 @p825 @p830) :args ((or @t120 @t129 @t94 @t132 @t194 @t189 @t187) (@list false true true true true false false true false false true false false false true true true false true false false false true true false false true true) (@list @t177 @t176 @t173 @t69 @t170 @t71 @t74 @t155 @t87 @t144 @t85 @t211 @t208 @t272 @t136 @t259 @t207 @t140 @t178 @t146 @t138 @t130 @t195 @t105 @t90 @t99 @t93 @t89)))
% 3.01/3.21  (step @p882 :rule chain_m_resolution :premises (@p721 @p362 @p405 @p533 @p388 @p382 @p384 @p368 @p377 @p737 @p484 @p324 @p483 @p215 @p449 @p199 @p736 @p834 @p184 @p179 @p729 @p881 @p118 @p113 @p832 @p830 @p825 @p880 @p859 @p576 @p563 @p162) :args ((or @t120 @t194 @t221 @t189 @t187 @t54) (@list true false true true true true true true true false true true false true false true true false false false false true false false true true false true true false false) (@list @t176 @t69 @t177 @t71 @t173 @t63 @t170 @t76 @t74 @t178 @t155 @t146 @t87 @t138 @t144 @t140 @t130 @t136 @t85 @t259 @t94 @t105 @t90 @t99 @t89 @t93 @t116 @t132 @t122 @t224 @t123)))
% 3.01/3.21  (step @p883 :rule chain_m_resolution :premises (@p882 @p78 @p24 @p878 @p876 @p593 @p607 @p871 @p864 @p869 @p849 @p54 @p62 @p46) :args ((or @t62 @t52) (@list false true false true true false false true true false false false false) (@list @t81 @t54 @t57 @t221 @t120 @t232 @t235 @t234 @t229 @t44 @t188 @t186 @t64)))
% 3.01/3.21  (step @p884 :rule cnf_equiv_pos2 :args (@t57))
% 3.01/3.21  (step @p885 :rule reordering :premises (@p884) :args ((or @t47 @t56 @t58)))
% 3.01/3.21  (step @p886 :rule chain_m_resolution :premises (@p393 @p386 @p639 @p382 @p347 @p548 @p336 @p723 @p324 @p215 @p543 @p541 @p847 @p319 @p197 @p775 @p201 @p449 @p481 @p435 @p444) :args ((or @t81 @t120 @t116 @t94 @t105 @t132 @t189 @t142 @t187 @t198) (@list false true true true true false false true false false true false true true false true true true true true) (@list @t177 @t176 @t173 @t69 @t170 @t71 @t74 @t155 @t87 @t144 @t136 @t140 @t178 @t85 @t146 @t141 @t138 @t147 @t130 @t195)))
% 3.01/3.21  (step @p887 :rule chain_m_resolution :premises (@p721 @p362 @p405 @p533 @p388 @p382 @p384 @p368 @p377 @p737 @p484 @p324 @p818 @p215 @p190 @p199 @p736 @p169 @p184 @p179 @p729 @p886 @p118 @p113 @p99 @p825 @p743 @p98 @p93 @p88 @p83 @p885 @p883 @p593 @p607 @p871 @p869 @p864 @p859 @p854 @p849 @p62 @p54 @p46) :args (@t62 (@list true false true true true true true true true false true true false false false true false false false false false true false false true true false false false false true false true false false true true true true false false false false) (@list @t176 @t69 @t177 @t71 @t173 @t63 @t170 @t76 @t74 @t178 @t155 @t146 @t87 @t138 @t144 @t140 @t130 @t136 @t85 @t259 @t94 @t105 @t90 @t99 @t116 @t81 @t89 @t97 @t93 @t84 @t57 @t52 @t120 @t232 @t235 @t229 @t234 @t132 @t122 @t44 @t186 @t188 @t64)))
% 3.01/3.21  (step @p888 :rule cnf_equiv_neg1 :args (@t81))
% 3.01/3.21  (step @p889 :rule reordering :premises (@p888) :args ((or @t65 @t57 @t81)))
% 3.01/3.21  (assume-push @p1162 @t69)
% 3.01/3.21  (step @p891 :rule instantiate :premises (@p1162) :args (@t83))
% 3.01/3.21  (step-pop @p1163 :rule scope :premises (@p891))
% 3.01/3.21  (step @p892 :rule process_scope :premises (@p1163) :args ((not @t279)))
% 3.01/3.21  (step @p894 :rule implies_elim :premises (@p892))
% 3.01/3.21  (step @p895 :rule eq-symm :args (@t279 @t59))
% 3.01/3.21  (step @p896 :rule cong :premises (@p895) :args (@t280))
% 3.01/3.21  (step @p897 :rule cong :premises (@p896) :args (@t281))
% 3.01/3.21  (step @p898 :rule refl :args (@t62))
% 3.01/3.21  (step @p899 :rule cong :premises (@p898 @p897) :args ((=> @t62 @t281)))
% 3.01/3.21  (assume-push @p1164 @t62)
% 3.01/3.21  (step @p901 :rule instantiate :premises (@p1164) :args (@t83))
% 3.01/3.21  (step-pop @p1165 :rule scope :premises (@p901))
% 3.01/3.21  (step @p902 :rule process_scope :premises (@p1165) :args (@t281))
% 3.01/3.21  (step @p904 :rule eq_resolve :premises (@p902 @p899))
% 3.01/3.21  (step @p905 :rule implies_elim :premises (@p904))
% 3.01/3.21  (step @p906 :rule chain_m_resolution :premises (@p905 @p887) :args (@t283 @t284 (@list @t62)))
% 3.01/3.21  (step @p907 :rule refl :args (@t288))
% 3.01/3.21  (step @p908 :rule bool-double-not-elim :args (@t282))
% 3.01/3.21  (step @p909 :rule nary_cong :premises (@p908 @p907) :args ((or (not @t283) @t288)))
% 3.01/3.21  (step @p910 :rule eq-symm :args (@t286 @t279))
% 3.01/3.21  (step @p911 :rule cong :premises (@p910) :args (@t289))
% 3.01/3.21  (step @p912 :rule refl :args (@t283))
% 3.01/3.21  (step @p913 :rule cong :premises (@p912 @p911) :args ((=> @t283 @t289)))
% 3.01/3.21  (assume-push @p1166 @t283)
% 3.01/3.21  (step @p915 :rule skolemize :premises (@p1166))
% 3.01/3.21  (step-pop @p1167 :rule scope :premises (@p915))
% 3.01/3.21  (step @p916 :rule process_scope :premises (@p1167) :args (@t289))
% 3.01/3.21  (step @p918 :rule eq_resolve :premises (@p916 @p913))
% 3.01/3.21  (step @p919 :rule implies_elim :premises (@p918))
% 3.01/3.21  (step @p920 :rule eq_resolve :premises (@p919 @p909))
% 3.01/3.21  (step @p921 :rule chain_m_resolution :premises (@p920 @p906) :args (@t288 @t290 (@list @t282)))
% 3.01/3.21  (step @p922 :rule cnf_equiv_neg1 :args (@t287))
% 3.01/3.21  (step @p923 :rule reordering :premises (@p922) :args ((or @t279 @t286 @t287)))
% 3.01/3.21  (assume-push @p1168 @t69)
% 3.01/3.21  (step @p925 :rule instantiate :premises (@p1168) :args (@t291))
% 3.01/3.21  (step-pop @p1169 :rule scope :premises (@p925))
% 3.01/3.21  (step @p926 :rule process_scope :premises (@p1169) :args ((not @t286)))
% 3.01/3.21  (step @p928 :rule implies_elim :premises (@p926))
% 3.01/3.21  (step @p929 :rule chain_m_resolution :premises (@p928 @p923 @p921 @p894) :args (@t175 (@list false true true) (@list @t286 @t287 @t279)))
% 3.01/3.21  (assume-push @p1170 @t74)
% 3.01/3.21  (step @p931 :rule instantiate :premises (@p1170) :args (@t291))
% 3.01/3.21  (step-pop @p1171 :rule scope :premises (@p931))
% 3.01/3.21  (step @p932 :rule process_scope :premises (@p1171) :args (@t286))
% 3.01/3.21  (step @p934 :rule implies_elim :premises (@p932))
% 3.01/3.21  (step @p935 :rule cnf_equiv_neg2 :args (@t287))
% 3.01/3.21  (assume-push @p1172 @t74)
% 3.01/3.21  (step @p937 :rule instantiate :premises (@p1172) :args (@t83))
% 3.01/3.21  (step-pop @p1173 :rule scope :premises (@p937))
% 3.01/3.21  (step @p938 :rule process_scope :premises (@p1173) :args (@t279))
% 3.01/3.21  (step @p940 :rule implies_elim :premises (@p938))
% 3.01/3.21  (step @p941 :rule chain_m_resolution :premises (@p940 @p935 @p921 @p934) :args (@t168 @t292 (@list @t279 @t287 @t286)))
% 3.01/3.21  (step @p942 :rule chain_m_resolution :premises (@p362 @p348 @p319 @p324 @p788 @p200 @p215 @p368 @p941 @p190 @p199 @p736 @p169 @p184 @p179 @p729) :args ((or @t120 @t116 @t109 @t194 @t128 @t181) (@list true true true false false false true true false false true false false false false) (@list @t177 @t178 @t155 @t173 @t146 @t87 @t170 @t74 @t138 @t144 @t140 @t130 @t136 @t85 @t259)))
% 3.01/3.21  (step @p943 :rule chain_m_resolution :premises (@p530 @p528 @p526 @p788 @p786 @p368 @p941 @p496) :args ((or @t109 @t140 @t181 @t216 @t195) (@list false false false true true true false) @t293))
% 3.01/3.21  (step @p944 :rule chain_m_resolution :premises (@p215 @p543 @p324 @p814 @p362 @p510 @p533 @p812 @p791 @p799 @p545 @p941 @p541 @p736 @p797 @p943 @p484 @p483 @p449 @p435 @p444 @p942 @p131 @p773 @p755) :args ((or @t120 @t116 @t194 @t181 @t54) (@list false true true false false true false true false false true true true true false false true true true true true false true false) (@list @t144 @t87 @t85 @t155 @t211 @t177 @t208 @t173 @t272 @t170 @t74 @t136 @t259 @t207 @t140 @t178 @t146 @t138 @t130 @t195 @t94 @t105 @t108 @t262)))
% 3.01/3.21  (step @p945 :rule chain_m_resolution :premises (@p215 @p543 @p324 @p814 @p362 @p510 @p348 @p812 @p342 @p799 @p545 @p941 @p541 @p736 @p797) :args ((or @t105 @t169 @t178 @t181) (@list false true true false false true false false false false true true true true) @t294))
% 3.01/3.21  (step @p946 :rule chain_m_resolution :premises (@p530 @p386 @p526 @p382 @p786 @p368 @p941 @p496 @p945 @p319 @p200 @p190 @p837 @p444 @p118 @p113 @p832 @p825 @p830) :args ((or @t120 @t129 @t94 @t194 @t181) (@list false false true true true true false true true false false false true true false false true true) (@list @t177 @t155 @t173 @t208 @t170 @t74 @t203 @t140 @t178 @t146 @t138 @t130 @t195 @t105 @t90 @t99 @t93 @t89)))
% 3.01/3.21  (step @p947 :rule chain_m_resolution :premises (@p533 @p362 @p484 @p324 @p382 @p483 @p215 @p368 @p941 @p449 @p199 @p736 @p834 @p184 @p179 @p729 @p946 @p118 @p113 @p832 @p830 @p825 @p944 @p355 @p929 @p572 @p576 @p574 @p563 @p555 @p162) :args ((or @t120 @t194 @t49 @t54) (@list false false true true true false true true true false true true false false false false true false false true true false false true false false false false false false) (@list @t177 @t178 @t155 @t173 @t146 @t87 @t170 @t74 @t138 @t144 @t140 @t130 @t136 @t85 @t259 @t94 @t105 @t90 @t99 @t89 @t93 @t116 @t176 @t69 @t132 @t221 @t122 @t224 @t220 @t123)))
% 3.01/3.21  (step @p948 :rule chain_m_resolution :premises (@p535 @p348 @p526 @p788 @p786 @p368 @p941 @p496) :args ((or @t109 @t140 @t176 @t178 @t195) (@list true false false true true true false) @t293))
% 3.01/3.21  (step @p949 :rule chain_m_resolution :premises (@p215 @p543 @p324 @p814 @p393 @p510 @p386 @p812 @p791 @p799 @p545 @p941 @p541 @p736 @p797 @p948 @p319 @p200 @p626 @p435 @p444 @p639 @p929 @p624 @p607 @p593) :args ((or @t124 @t116 @t94 @t109 @t194) (@list false true true false false false false true false false true true true true false true false false true true true true true true true) (@list @t144 @t87 @t85 @t155 @t211 @t177 @t208 @t173 @t272 @t170 @t74 @t136 @t259 @t207 @t140 @t178 @t146 @t138 @t130 @t195 @t176 @t69 @t132 @t235 @t232)))
% 3.01/3.21  (step @p950 :rule chain_m_resolution :premises (@p528 @p393 @p484 @p324 @p788 @p483 @p215 @p368 @p941 @p731 @p199 @p736 @p169 @p184 @p179 @p729 @p949 @p131 @p773 @p755 @p639 @p929 @p624 @p607 @p593) :args ((or @t124 @t116 @t194 @t54) (@list true false true false true false true true true false true false false false false false false true false true true true true true) (@list @t177 @t178 @t155 @t173 @t146 @t87 @t170 @t74 @t138 @t144 @t140 @t130 @t136 @t85 @t259 @t94 @t105 @t108 @t262 @t176 @t69 @t132 @t235 @t232)))
% 3.01/3.21  (step @p951 :rule chain_m_resolution :premises (@p393 @p386 @p319 @p324 @p382 @p200 @p215 @p368 @p941 @p626 @p199 @p736 @p834 @p184 @p179 @p729 @p118 @p113 @p832 @p825 @p830 @p639 @p929 @p624 @p607 @p593) :args ((or @t124 @t129 @t194 @t128) (@list false true true true false false true true false false true true false false false true false false true true true true true true true) (@list @t177 @t178 @t155 @t173 @t146 @t87 @t170 @t74 @t138 @t144 @t140 @t130 @t136 @t85 @t259 @t105 @t90 @t99 @t93 @t89 @t176 @t69 @t132 @t235 @t232)))
% 3.01/3.21  (step @p952 :rule chain_m_resolution :premises (@p215 @p543 @p324 @p814 @p393 @p510 @p528 @p812 @p342 @p799 @p545 @p941 @p541 @p736 @p797) :args ((or @t105 @t169 @t176 @t216) (@list false true true false false false false false false false true true true true) @t294))
% 3.01/3.21  (step @p953 :rule chain_m_resolution :premises (@p535 @p533 @p526 @p382 @p786 @p368 @p941 @p496 @p952 @p484 @p483 @p731 @p837 @p444 @p951 @p118 @p113 @p832 @p830 @p825 @p950 @p639 @p929 @p624 @p607 @p593 @p947 @p889 @p887 @p30 @p24 @p15) :args ((or @t44 @t52) (@list true false true true true true false true false true true false true true true false false true true false true true true true true false false false true true false) (@list @t177 @t155 @t173 @t208 @t170 @t74 @t203 @t140 @t178 @t146 @t138 @t130 @t195 @t94 @t105 @t90 @t99 @t89 @t93 @t116 @t176 @t69 @t132 @t235 @t232 @t120 @t81 @t62 @t57 @t54 @t46)))
% 3.01/3.21  (step @p954 :rule cnf_equiv_pos2 :args (@t81))
% 3.01/3.21  (step @p955 :rule reordering :premises (@p954) :args ((or @t65 @t58 @t194)))
% 3.01/3.21  (step @p956 :rule chain_m_resolution :premises (@p530 @p386 @p526 @p382 @p786 @p368 @p941 @p496 @p945 @p319 @p775 @p449 @p435 @p444) :args ((or @t81 @t120 @t116 @t94 @t105 @t181) (@list false false true true true true false true true false true true true) (@list @t177 @t155 @t173 @t208 @t170 @t74 @t203 @t140 @t178 @t146 @t138 @t130 @t195)))
% 3.01/3.21  (step @p957 :rule chain_m_resolution :premises (@p533 @p362 @p484 @p324 @p382 @p818 @p215 @p368 @p941 @p190 @p199 @p736 @p169 @p184 @p179 @p729 @p956 @p355 @p929 @p572 @p576 @p574 @p563 @p555 @p162) :args ((or @t81 @t120 @t116 @t105 @t49) (@list false false true true true false true true false false true false false false false false false true false false false false false false) (@list @t177 @t178 @t155 @t173 @t146 @t87 @t170 @t74 @t138 @t144 @t140 @t130 @t136 @t85 @t259 @t94 @t176 @t69 @t132 @t221 @t122 @t224 @t220 @t123)))
% 3.01/3.21  (step @p958 :rule chain_m_resolution :premises (@p386 @p393 @p319 @p324 @p382 @p775 @p215 @p368 @p941 @p731 @p199 @p736 @p169 @p184 @p179 @p729 @p639 @p929 @p624 @p607 @p593) :args ((or @t81 @t124 @t116 @t105 @t128) (@list true true true true false false true true true false true false false false false true true true true true) (@list @t177 @t178 @t155 @t173 @t146 @t87 @t170 @t74 @t138 @t144 @t140 @t130 @t136 @t85 @t259 @t176 @t69 @t132 @t235 @t232)))
% 3.01/3.21  (step @p959 :rule chain_m_resolution :premises (@p535 @p533 @p526 @p382 @p786 @p368 @p941 @p496 @p952 @p484 @p818 @p626 @p435 @p444 @p958 @p639 @p929 @p624 @p607 @p593 @p957 @p118 @p113 @p955 @p887 @p99 @p825 @p68 @p98 @p88 @p953 @p15) :args (@t44 (@list true false true true true true false true false true false true true true true true true true true false true false true false false true false false false false false) (@list @t177 @t155 @t173 @t208 @t170 @t74 @t203 @t140 @t178 @t146 @t138 @t130 @t195 @t94 @t176 @t69 @t132 @t235 @t232 @t120 @t105 @t90 @t81 @t62 @t99 @t116 @t57 @t89 @t93 @t52 @t46)))
% 3.01/3.21  (step @p960 :rule chain_m_resolution :premises (@p854 @p959) :args (@t225 @t284 @t295))
% 3.01/3.21  (step @p961 :rule chain_m_resolution :premises (@p859 @p960) :args (@t179 @t290 (@list @t122)))
% 3.01/3.21  (step @p962 :rule chain_m_resolution :premises (@p639 @p929 @p961) :args (@t181 @t296 (@list @t69 @t132)))
% 3.01/3.21  (step @p963 :rule chain_m_resolution :premises (@p864 @p959) :args (@t277 @t284 @t295))
% 3.01/3.21  (step @p964 :rule chain_m_resolution :premises (@p869 @p959) :args (@t278 @t284 @t295))
% 3.01/3.21  (step @p965 :rule chain_m_resolution :premises (@p871 @p964 @p963) :args (@t235 @t296 @t242))
% 3.01/3.21  (step @p966 :rule chain_m_resolution :premises (@p607 @p965) :args (@t232 @t284 (@list @t235)))
% 3.01/3.21  (step @p967 :rule chain_m_resolution :premises (@p593 @p966) :args (@t124 @t284 (@list @t232)))
% 3.01/3.21  (step @p968 :rule chain_m_resolution :premises (@p386 @p393 @p962 @p319 @p324 @p382 @p200 @p215 @p368 @p941 @p190 @p967 @p199 @p736 @p169 @p184 @p179 @p729) :args ((or @t116 @t105 @t194 @t128) (@list true true true true true false false true true false true false true false false false false) (@list @t177 @t176 @t178 @t155 @t173 @t146 @t87 @t170 @t74 @t138 @t120 @t144 @t140 @t130 @t136 @t85 @t259)))
% 3.01/3.21  (step @p969 :rule chain_m_resolution :premises (@p535 @p962 @p533 @p526 @p382 @p786 @p368 @p941 @p496 @p952 @p962 @p484 @p483 @p449 @p967 @p435 @p444 @p968 @p118 @p113 @p889 @p887 @p99 @p825 @p885 @p959 @p98 @p88) :args (@t56 (@list true true false true true true true false true true false true true true true true true true false false false false true true false false false) (@list @t176 @t177 @t155 @t173 @t208 @t170 @t74 @t203 @t140 @t176 @t178 @t146 @t138 @t120 @t130 @t195 @t94 @t105 @t90 @t81 @t62 @t99 @t116 @t57 @t44 @t89 @t93)))
% 3.01/3.21  (step @p970 :rule chain_m_resolution :premises (@p24 @p969) :args (@t55 @t290 (@list @t52)))
% 3.01/3.21  (step @p971 :rule chain_m_resolution :premises (@p878 @p959 @p969) :args (@t57 @t297 (@list @t44 @t52)))
% 3.01/3.21  (step @p972 :rule chain_m_resolution :premises (@p955 @p887 @p971) :args (@t194 (@list false false) (@list @t62 @t57)))
% 3.01/3.21  (step @p973 :rule chain_m_resolution :premises (@p215 @p543 @p324 @p814 @p393 @p962 @p510 @p386 @p812 @p791 @p799 @p545 @p941 @p541 @p736 @p797 @p948 @p962 @p319 @p775 @p972 @p449 @p967 @p435 @p444 @p131 @p773 @p24 @p969 @p755) :args ((or @t116 @t94) (@list false true true false true false false false true false false true true true true false true true false true true true true true false true true true false) (@list @t144 @t87 @t85 @t155 @t176 @t211 @t177 @t208 @t173 @t272 @t170 @t74 @t136 @t259 @t207 @t140 @t176 @t178 @t146 @t81 @t138 @t120 @t130 @t195 @t105 @t108 @t54 @t52 @t262)))
% 3.01/3.21  (step @p974 :rule chain_m_resolution :premises (@p393 @p962 @p528 @p484 @p324 @p788 @p818 @p972 @p215 @p368 @p941 @p190 @p967 @p199 @p736 @p169 @p184 @p179 @p729 @p973 @p131 @p773 @p970 @p755) :args (@t116 (@list true false false true false true true false true true false true false true false false false false false false true true false) (@list @t176 @t177 @t178 @t155 @t173 @t146 @t81 @t87 @t170 @t74 @t138 @t120 @t144 @t140 @t130 @t136 @t85 @t259 @t94 @t105 @t108 @t54 @t262)))
% 3.01/3.21  (step @p975 :rule chain_m_resolution :premises (@p825 @p974) :args (@t193 @t284 @t298))
% 3.01/3.21  (step @p976 :rule chain_m_resolution :premises (@p830 @p974) :args (@t256 @t284 @t298))
% 3.01/3.21  (step @p977 :rule chain_m_resolution :premises (@p832 @p976 @p975) :args (@t99 @t296 (@list @t89 @t93)))
% 3.01/3.21  (step @p978 :rule chain_m_resolution :premises (@p113 @p977) :args (@t90 @t284 (@list @t99)))
% 3.01/3.21  (step @p979 :rule chain_m_resolution :premises (@p118 @p978) :args (@t109 @t284 (@list @t90)))
% 3.01/3.21  (step @p980 :rule chain_m_resolution :premises (@p393 @p962 @p386 @p319 @p324 @p382 @p979 @p775 @p972 @p215 @p368 @p941 @p449 @p967 @p199 @p736 @p834 @p974 @p184 @p179 @p729) :args (@t128 (@list true false true true true true false true false true true true true false true true false false false false) (@list @t176 @t177 @t178 @t155 @t173 @t105 @t146 @t81 @t87 @t170 @t74 @t138 @t120 @t144 @t140 @t130 @t116 @t136 @t85 @t259)))
% 3.01/3.21  (step @p981 :rule chain_m_resolution :premises (@p444 @p980) :args (@t196 @t290 (@list @t94)))
% 3.01/3.21  (step @p982 :rule chain_m_resolution :premises (@p837 @p974 @p980) :args (@t130 @t297 (@list @t116 @t94)))
% 3.01/3.21  (step @p983 :rule chain_m_resolution :premises (@p190 @p967 @p982) :args (@t138 @t241 (@list @t120 @t130)))
% 3.01/3.21  (step @p984 :rule chain_m_resolution :premises (@p818 @p972 @p983) :args (@t201 @t241 (@list @t81 @t138)))
% 3.01/3.21  (step @p985 :rule chain_m_resolution :premises (@p484 @p984) :args (@t178 @t290 (@list @t146)))
% 3.01/3.21  (step @p986 :rule chain_m_resolution :premises (@p952 @p979 @p962 @p985) :args (@t169 @t292 (@list @t105 @t176 @t178)))
% 3.01/3.21  (step @p987 :rule chain_m_resolution :premises (@p496 @p986) :args (@t203 @t290 (@list @t140)))
% 3.01/3.21  (step @p988 :rule chain_m_resolution :premises (@p786 @p987 @p981) :args (@t214 @t297 (@list @t203 @t195)))
% 3.01/3.21  (step @p989 :rule chain_m_resolution :premises (@p526 @p988) :args (@t155 @t290 (@list @t208)))
% 3.01/3.21  (step @p990 :rule chain_m_resolution :premises (@p368 @p986 @p941) :args (@t172 @t296 (@list @t140 @t74)))
% 3.01/3.21  (step @p991 :rule chain_m_resolution :premises (@p382 @p979 @p990) :args (@t185 @t296 (@list @t105 @t170)))
% 3.01/3.21  (step @p992 :rule chain_m_resolution :premises (@p533 @p991 @p985) :args (@t190 @t241 (@list @t173 @t178)))
% 3.01/3.21  (step @p993 false :rule chain_m_resolution :premises (@p535 @p992 @p989 @p962) :args (false (@list true false true) (@list @t177 @t155 @t176)))
% 3.01/3.21  )
% 3.01/3.21  % SZS output end Proof
% 3.01/3.21  % cvc5 exiting
%------------------------------------------------------------------------------