↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU904^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:53:30 AM UTC 2026

% Result   : Theorem 0.44s 0.63s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU904^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n010.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 17:58:25 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.26/0.50  %----Proving TH0
% 0.44/0.63  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.44/0.63  % SZS status Theorem
% 0.44/0.63  % SZS output start Proof
% 0.44/0.63  (
% 0.44/0.63  (declare-sort tptp.b 0)
% 0.44/0.63  (declare-sort tptp.a 0)
% 0.44/0.63  (declare-sort tptp.g 0)
% 0.44/0.63  (define @t1 () (@var "Xy" tptp.g))
% 0.44/0.63  (define @t2 () (@var "Xh1" (-> tptp.g tptp.b)))
% 0.44/0.63  (define @t3 () (_ @t2 @t1))
% 0.44/0.63  (define @t4 () (@var "Xh2" (-> tptp.b tptp.a)))
% 0.44/0.63  (define @t5 () (_ @t4 @t3))
% 0.44/0.63  (define @t6 () (@var "Xx" tptp.g))
% 0.44/0.63  (define @t7 () (_ @t2 @t6))
% 0.44/0.63  (define @t8 () (_ @t4 @t7))
% 0.44/0.63  (define @t9 () (@var "Xf3" (-> tptp.a tptp.a tptp.a)))
% 0.44/0.63  (define @t10 () (_ (_ @t9 @t8) @t5))
% 0.44/0.63  (define @t11 () (@var "Xf1" (-> tptp.g tptp.g tptp.g)))
% 0.44/0.63  (define @t12 () (_ (_ @t11 @t6) @t1))
% 0.44/0.63  (define @t13 () (_ @t2 @t12))
% 0.44/0.63  (define @t14 () (_ @t4 @t13))
% 0.44/0.63  (define @t15 () (= @t14 @t10))
% 0.44/0.63  (define @t16 () (@var "Xs1" (-> tptp.g Bool)))
% 0.44/0.63  (define @t17 () (_ @t16 @t1))
% 0.44/0.63  (define @t18 () (_ @t16 @t6))
% 0.44/0.63  (define @t19 () (and @t18 @t17))
% 0.44/0.63  (define @t20 () (@list @t6 @t1))
% 0.44/0.63  (define @t21 () (forall @t20 (=> @t19 @t15)))
% 0.44/0.63  (define @t22 () (@var "Xs3" (-> tptp.a Bool)))
% 0.44/0.63  (define @t23 () (_ @t22 @t8))
% 0.44/0.63  (define @t24 () (@list @t6))
% 0.44/0.63  (define @t25 () (forall @t24 (=> @t18 @t23)))
% 0.44/0.63  (define @t26 () (@var "Xy" tptp.a))
% 0.44/0.63  (define @t27 () (@var "Xx" tptp.a))
% 0.44/0.63  (define @t28 () (_ (_ @t9 @t27) @t26))
% 0.44/0.63  (define @t29 () (_ @t22 @t28))
% 0.44/0.63  (define @t30 () (_ @t22 @t26))
% 0.44/0.63  (define @t31 () (_ @t22 @t27))
% 0.44/0.63  (define @t32 () (and @t31 @t30))
% 0.44/0.63  (define @t33 () (@list @t27 @t26))
% 0.44/0.63  (define @t34 () (forall @t33 (=> @t32 @t29)))
% 0.44/0.63  (define @t35 () (_ @t16 @t12))
% 0.44/0.63  (define @t36 () (forall @t20 (=> @t19 @t35)))
% 0.44/0.63  (define @t37 () (and @t36 @t34 @t25 @t21))
% 0.44/0.63  (define @t38 () (@var "Xy" tptp.b))
% 0.44/0.63  (define @t39 () (_ @t4 @t38))
% 0.44/0.63  (define @t40 () (@var "Xx" tptp.b))
% 0.44/0.63  (define @t41 () (_ @t4 @t40))
% 0.44/0.63  (define @t42 () (_ (_ @t9 @t41) @t39))
% 0.44/0.63  (define @t43 () (@var "Xf2" (-> tptp.b tptp.b tptp.b)))
% 0.44/0.63  (define @t44 () (_ (_ @t43 @t40) @t38))
% 0.44/0.63  (define @t45 () (_ @t4 @t44))
% 0.44/0.63  (define @t46 () (= @t45 @t42))
% 0.44/0.63  (define @t47 () (@var "Xs2" (-> tptp.b Bool)))
% 0.44/0.63  (define @t48 () (_ @t47 @t38))
% 0.44/0.63  (define @t49 () (_ @t47 @t40))
% 0.44/0.63  (define @t50 () (and @t49 @t48))
% 0.44/0.63  (define @t51 () (@list @t40 @t38))
% 0.44/0.63  (define @t52 () (forall @t51 (=> @t50 @t46)))
% 0.44/0.63  (define @t53 () (_ @t22 @t41))
% 0.44/0.63  (define @t54 () (@list @t40))
% 0.44/0.63  (define @t55 () (forall @t54 (=> @t49 @t53)))
% 0.44/0.63  (define @t56 () (_ @t47 @t44))
% 0.44/0.63  (define @t57 () (forall @t51 (=> @t50 @t56)))
% 0.44/0.63  (define @t58 () (_ (_ @t43 @t7) @t3))
% 0.44/0.63  (define @t59 () (= @t13 @t58))
% 0.44/0.63  (define @t60 () (forall @t20 (=> @t19 @t59)))
% 0.44/0.63  (define @t61 () (_ @t47 @t7))
% 0.44/0.63  (define @t62 () (forall @t24 (=> @t18 @t61)))
% 0.44/0.63  (define @t63 () (and @t36 @t57 @t62 @t60 @t57 @t34 @t55 @t52))
% 0.44/0.63  (define @t64 () (=> @t63 @t37))
% 0.44/0.63  (define @t65 () (@list @t2 @t4 @t16 @t11 @t47 @t43 @t22 @t9))
% 0.44/0.63  (define @t66 () (forall @t65 @t64))
% 0.44/0.63  (define @t67 () (not @t66))
% 0.44/0.63  (define @t68 () (@var "BOUND_VARIABLE_7650" tptp.g))
% 0.44/0.63  (define @t69 () (@var "BOUND_VARIABLE_7648" tptp.g))
% 0.44/0.63  (define @t70 () (or (not (_ @t16 @t69)) (not (_ @t16 @t68)) (= (_ @t4 (_ @t2 (_ @t11 @t69 @t68))) (_ @t9 (_ @t4 (_ @t2 @t69)) (_ @t4 (_ @t2 @t68))))))
% 0.44/0.63  (define @t71 () (@var "BOUND_VARIABLE_7640" tptp.g))
% 0.44/0.63  (define @t72 () (or (not (_ @t16 @t71)) (_ @t22 (_ @t4 (_ @t2 @t71)))))
% 0.44/0.63  (define @t73 () (@var "BOUND_VARIABLE_7631" tptp.a))
% 0.44/0.63  (define @t74 () (@var "BOUND_VARIABLE_7629" tptp.a))
% 0.44/0.63  (define @t75 () (or (not (_ @t22 @t74)) (not (_ @t22 @t73)) (_ @t22 (_ @t9 @t74 @t73))))
% 0.44/0.63  (define @t76 () (@var "BOUND_VARIABLE_7620" tptp.g))
% 0.44/0.63  (define @t77 () (@var "BOUND_VARIABLE_7618" tptp.g))
% 0.44/0.63  (define @t78 () (or (not (_ @t16 @t77)) (not (_ @t16 @t76)) (_ @t16 (_ @t11 @t77 @t76))))
% 0.44/0.63  (define @t79 () (and @t78 @t75 @t72 @t70))
% 0.44/0.63  (define @t80 () (_ @t4 @t38))
% 0.44/0.63  (define @t81 () (_ @t4 @t40))
% 0.44/0.63  (define @t82 () (_ @t9 @t81 @t80))
% 0.44/0.63  (define @t83 () (_ @t43 @t40 @t38))
% 0.44/0.63  (define @t84 () (_ @t4 @t83))
% 0.44/0.63  (define @t85 () (_ @t47 @t38))
% 0.44/0.63  (define @t86 () (not @t85))
% 0.44/0.63  (define @t87 () (_ @t47 @t40))
% 0.44/0.63  (define @t88 () (not @t87))
% 0.44/0.63  (define @t89 () (forall @t51 (or @t88 @t86 (= @t84 @t82))))
% 0.44/0.63  (define @t90 () (not @t89))
% 0.44/0.63  (define @t91 () (_ @t22 @t81))
% 0.44/0.63  (define @t92 () (forall @t54 (or @t88 @t91)))
% 0.44/0.63  (define @t93 () (not @t92))
% 0.44/0.63  (define @t94 () (_ @t9 @t27 @t26))
% 0.44/0.63  (define @t95 () (_ @t22 @t94))
% 0.44/0.63  (define @t96 () (_ @t22 @t26))
% 0.44/0.63  (define @t97 () (_ @t22 @t27))
% 0.44/0.63  (define @t98 () (forall @t33 (or (not @t97) (not @t96) @t95)))
% 0.44/0.63  (define @t99 () (not @t98))
% 0.44/0.63  (define @t100 () (_ @t2 @t1))
% 0.44/0.63  (define @t101 () (_ @t2 @t6))
% 0.44/0.63  (define @t102 () (_ @t43 @t101 @t100))
% 0.44/0.63  (define @t103 () (_ @t11 @t6 @t1))
% 0.44/0.63  (define @t104 () (_ @t2 @t103))
% 0.44/0.63  (define @t105 () (_ @t16 @t1))
% 0.44/0.63  (define @t106 () (not @t105))
% 0.44/0.63  (define @t107 () (_ @t16 @t6))
% 0.44/0.63  (define @t108 () (not @t107))
% 0.44/0.63  (define @t109 () (forall @t20 (or @t108 @t106 (= @t104 @t102))))
% 0.44/0.63  (define @t110 () (not @t109))
% 0.44/0.63  (define @t111 () (_ @t47 @t101))
% 0.44/0.63  (define @t112 () (forall @t24 (or @t108 @t111)))
% 0.44/0.63  (define @t113 () (not @t112))
% 0.44/0.63  (define @t114 () (_ @t47 @t83))
% 0.44/0.63  (define @t115 () (forall @t51 (or @t88 @t86 @t114)))
% 0.44/0.63  (define @t116 () (not @t115))
% 0.44/0.63  (define @t117 () (_ @t16 @t103))
% 0.44/0.63  (define @t118 () (forall @t20 (or @t108 @t106 @t117)))
% 0.44/0.63  (define @t119 () (not @t118))
% 0.44/0.63  (define @t120 () (or @t119 @t116 @t113 @t110 @t99 @t93 @t90 @t79))
% 0.44/0.63  (define @t121 () (forall (@list @t2 @t4 @t16 @t11 @t47 @t43 @t22 @t9 @t77 @t76 @t74 @t73 @t71 @t69 @t68) @t120))
% 0.44/0.63  (define @t122 () (@list @t77 @t76 @t74 @t73 @t71 @t69 @t68))
% 0.44/0.63  (define @t123 () (forall @t122 @t120))
% 0.44/0.63  (define @t124 () (forall (@list @t69 @t68) @t70))
% 0.44/0.63  (define @t125 () (@list @t6 @t1))
% 0.44/0.63  (define @t126 () (forall @t122 @t70))
% 0.44/0.63  (define @t127 () (forall (@list @t71) @t72))
% 0.44/0.63  (define @t128 () (forall @t122 @t72))
% 0.44/0.63  (define @t129 () (forall (@list @t74 @t73) @t75))
% 0.44/0.63  (define @t130 () (forall @t122 @t75))
% 0.44/0.63  (define @t131 () (forall (@list @t77 @t76) @t78))
% 0.44/0.63  (define @t132 () (forall @t122 @t78))
% 0.44/0.63  (define @t133 () (and @t132 @t130 @t128 @t126))
% 0.44/0.63  (define @t134 () (forall @t122 @t79))
% 0.44/0.63  (define @t135 () (or @t119 @t116 @t113 @t110 @t99 @t93 @t90 @t134))
% 0.44/0.63  (define @t136 () (_ @t4 @t100))
% 0.44/0.63  (define @t137 () (_ @t4 @t101))
% 0.44/0.63  (define @t138 () (_ @t9 @t137 @t136))
% 0.44/0.63  (define @t139 () (_ @t4 @t104))
% 0.44/0.63  (define @t140 () (_ @t22 @t137))
% 0.44/0.63  (define @t141 () (and @t118 @t98 (forall @t24 (or @t108 @t140)) (forall @t20 (or @t108 @t106 (= @t139 @t138)))))
% 0.44/0.63  (define @t142 () (or @t119 @t116 @t113 @t110 @t99 @t93 @t90 @t141))
% 0.44/0.63  (define @t143 () (or @t119 @t116 @t113 @t110 @t99 @t93 @t90))
% 0.44/0.63  (define @t144 () (or @t119 @t116 @t113 @t110 @t116 @t99 @t93 @t90))
% 0.44/0.63  (define @t145 () (and @t118 @t115 @t112 @t109 @t115 @t98 @t92 @t89))
% 0.44/0.63  (define @t146 () (not @t17))
% 0.44/0.63  (define @t147 () (not @t18))
% 0.44/0.63  (define @t148 () (or @t147 @t146 @t15))
% 0.44/0.63  (define @t149 () (or @t147 @t146))
% 0.44/0.63  (define @t150 () (not @t19))
% 0.44/0.63  (define @t151 () (or @t147 @t23))
% 0.44/0.63  (define @t152 () (not @t30))
% 0.44/0.63  (define @t153 () (not @t31))
% 0.44/0.63  (define @t154 () (or @t153 @t152 @t29))
% 0.44/0.63  (define @t155 () (or @t147 @t146 @t35))
% 0.44/0.63  (define @t156 () (not @t48))
% 0.44/0.63  (define @t157 () (not @t49))
% 0.44/0.63  (define @t158 () (or @t157 @t156 @t46))
% 0.44/0.63  (define @t159 () (or @t157 @t156))
% 0.44/0.63  (define @t160 () (not @t50))
% 0.44/0.63  (define @t161 () (or @t157 @t53))
% 0.44/0.63  (define @t162 () (or @t157 @t156 @t56))
% 0.44/0.63  (define @t163 () (or @t147 @t146 @t59))
% 0.44/0.63  (define @t164 () (or @t147 @t61))
% 0.44/0.63  (define @t165 () (@quantifiers_skolemize @t121 1))
% 0.44/0.63  (define @t166 () (_ @t165 @t40))
% 0.44/0.63  (define @t167 () (@quantifiers_skolemize @t121 6))
% 0.44/0.63  (define @t168 () (@quantifiers_skolemize @t121 4))
% 0.44/0.63  (define @t169 () (not (_ @t168 @t40)))
% 0.44/0.63  (define @t170 () (forall @t54 (or @t169 (_ @t167 @t166))))
% 0.44/0.63  (define @t171 () (@quantifiers_skolemize @t121 14))
% 0.44/0.63  (define @t172 () (@quantifiers_skolemize @t121 0))
% 0.44/0.63  (define @t173 () (_ @t172 @t171))
% 0.44/0.63  (define @t174 () (@quantifiers_skolemize @t121 13))
% 0.44/0.63  (define @t175 () (_ @t172 @t174))
% 0.44/0.63  (define @t176 () (@quantifiers_skolemize @t121 7))
% 0.44/0.63  (define @t177 () (_ @t176 (_ @t165 @t175) (_ @t165 @t173)))
% 0.44/0.63  (define @t178 () (@quantifiers_skolemize @t121 3))
% 0.44/0.63  (define @t179 () (_ @t172 (_ @t178 @t174 @t171)))
% 0.44/0.63  (define @t180 () (_ @t165 @t179))
% 0.44/0.63  (define @t181 () (= @t180 @t177))
% 0.44/0.63  (define @t182 () (@quantifiers_skolemize @t121 2))
% 0.44/0.63  (define @t183 () (_ @t182 @t171))
% 0.44/0.63  (define @t184 () (not @t183))
% 0.44/0.63  (define @t185 () (_ @t182 @t174))
% 0.44/0.63  (define @t186 () (not @t185))
% 0.44/0.63  (define @t187 () (or @t186 @t184 @t181))
% 0.44/0.63  (define @t188 () (@quantifiers_skolemize @t121 12))
% 0.44/0.63  (define @t189 () (_ @t172 @t188))
% 0.44/0.63  (define @t190 () (_ @t167 (_ @t165 @t189)))
% 0.44/0.63  (define @t191 () (_ @t182 @t188))
% 0.44/0.63  (define @t192 () (not @t191))
% 0.44/0.63  (define @t193 () (or @t192 @t190))
% 0.44/0.63  (define @t194 () (@quantifiers_skolemize @t121 11))
% 0.44/0.63  (define @t195 () (@quantifiers_skolemize @t121 10))
% 0.44/0.63  (define @t196 () (or (not (_ @t167 @t195)) (not (_ @t167 @t194)) (_ @t167 (_ @t176 @t195 @t194))))
% 0.44/0.63  (define @t197 () (@quantifiers_skolemize @t121 9))
% 0.44/0.63  (define @t198 () (@quantifiers_skolemize @t121 8))
% 0.44/0.63  (define @t199 () (or (not (_ @t182 @t198)) (not (_ @t182 @t197)) (_ @t182 (_ @t178 @t198 @t197))))
% 0.44/0.63  (define @t200 () (and @t199 @t196 @t193 @t187))
% 0.44/0.63  (define @t201 () (@quantifiers_skolemize @t121 5))
% 0.44/0.63  (define @t202 () (_ @t201 @t40 @t38))
% 0.44/0.63  (define @t203 () (not (_ @t168 @t38)))
% 0.44/0.63  (define @t204 () (forall @t51 (or @t169 @t203 (= (_ @t165 @t202) (_ @t176 @t166 (_ @t165 @t38))))))
% 0.44/0.63  (define @t205 () (not @t204))
% 0.44/0.63  (define @t206 () (not @t170))
% 0.44/0.63  (define @t207 () (forall @t33 (or (not (_ @t167 @t27)) (not (_ @t167 @t26)) (_ @t167 (_ @t176 @t27 @t26)))))
% 0.44/0.63  (define @t208 () (not @t207))
% 0.44/0.63  (define @t209 () (_ @t172 @t6))
% 0.44/0.63  (define @t210 () (_ @t178 @t6 @t1))
% 0.44/0.63  (define @t211 () (not (_ @t182 @t1)))
% 0.44/0.63  (define @t212 () (not (_ @t182 @t6)))
% 0.44/0.63  (define @t213 () (forall @t20 (or @t212 @t211 (= (_ @t172 @t210) (_ @t201 @t209 (_ @t172 @t1))))))
% 0.44/0.63  (define @t214 () (not @t213))
% 0.44/0.63  (define @t215 () (forall @t24 (or @t212 (_ @t168 @t209))))
% 0.44/0.63  (define @t216 () (not @t215))
% 0.44/0.63  (define @t217 () (forall @t20 (or @t212 @t211 (_ @t182 @t210))))
% 0.44/0.63  (define @t218 () (not @t217))
% 0.44/0.63  (define @t219 () (or @t218 (not (forall @t51 (or @t169 @t203 (_ @t168 @t202)))) @t216 @t214 @t208 @t206 @t205 @t200))
% 0.44/0.63  (define @t220 () (@list true))
% 0.44/0.63  (define @t221 () (@list @t219))
% 0.44/0.63  (define @t222 () (_ @t168 @t175))
% 0.44/0.63  (define @t223 () (or @t186 @t222))
% 0.44/0.63  (define @t224 () (_ @t168 @t173))
% 0.44/0.63  (define @t225 () (or @t184 @t224))
% 0.44/0.63  (define @t226 () (_ @t201 @t175 @t173))
% 0.44/0.63  (define @t227 () (= @t179 @t226))
% 0.44/0.63  (define @t228 () (or @t186 @t184 @t227))
% 0.44/0.63  (define @t229 () (_ @t165 @t226))
% 0.44/0.63  (define @t230 () (not @t224))
% 0.44/0.63  (define @t231 () (not @t222))
% 0.44/0.63  (define @t232 () (or @t231 @t230 (= @t229 @t177)))
% 0.44/0.63  (define @t233 () (= @t177 @t229))
% 0.44/0.63  (define @t234 () (or @t231 @t230 @t233))
% 0.44/0.63  (define @t235 () (and @t227 @t233))
% 0.44/0.63  (define @t236 () (@list @t193))
% 0.44/0.63  (define @t237 () (_ @t168 @t189))
% 0.44/0.63  (define @t238 () (or @t192 @t237))
% 0.44/0.63  (define @t239 () (not @t237))
% 0.44/0.63  (define @t240 () (or @t239 @t190))
% 0.44/0.63  (assume @p1 @t67)
% 0.44/0.63  (assume @p2 true)
% 0.44/0.63  (step @p3 :rule quant-merge-prenex :args ((= (forall @t65 @t123) @t121)))
% 0.44/0.63  (step @p4 :rule alpha_equiv :args (@t124 (@list @t69 @t68) @t125))
% 0.44/0.63  (step @p5 :rule quant-unused-vars :args ((= @t126 @t124)))
% 0.44/0.63  (step @p6 :rule trans :premises (@p5 @p4))
% 0.44/0.63  (step @p7 :rule alpha_equiv :args (@t127 (@list @t71) (@list @t6)))
% 0.44/0.63  (step @p8 :rule quant-unused-vars :args ((= @t128 @t127)))
% 0.44/0.63  (step @p9 :rule trans :premises (@p8 @p7))
% 0.44/0.63  (step @p10 :rule alpha_equiv :args (@t129 (@list @t74 @t73) (@list @t27 @t26)))
% 0.44/0.63  (step @p11 :rule quant-unused-vars :args ((= @t130 @t129)))
% 0.44/0.63  (step @p12 :rule trans :premises (@p11 @p10))
% 0.44/0.63  (step @p13 :rule alpha_equiv :args (@t131 (@list @t77 @t76) @t125))
% 0.44/0.63  (step @p14 :rule quant-unused-vars :args ((= @t132 @t131)))
% 0.44/0.63  (step @p15 :rule trans :premises (@p14 @p13))
% 0.44/0.63  (step @p16 :rule nary_cong :premises (@p15 @p12 @p9 @p6) :args (@t133))
% 0.44/0.63  (step @p17 :rule quant-miniscope-and :args ((= @t134 @t133)))
% 0.44/0.63  (step @p18 :rule trans :premises (@p17 @p16))
% 0.44/0.63  (step @p19 :rule refl :args (@t90))
% 0.44/0.63  (step @p20 :rule refl :args (@t93))
% 0.44/0.63  (step @p21 :rule refl :args (@t99))
% 0.44/0.63  (step @p22 :rule refl :args (@t110))
% 0.44/0.63  (step @p23 :rule refl :args (@t113))
% 0.44/0.63  (step @p24 :rule refl :args (@t116))
% 0.44/0.63  (step @p25 :rule refl :args (@t119))
% 0.44/0.63  (step @p26 :rule nary_cong :premises (@p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18) :args (@t135))
% 0.44/0.63  (step @p27 :rule quant-miniscope-or :args ((= @t123 @t135)))
% 0.44/0.63  (step @p28 :rule trans :premises (@p27 @p26))
% 0.44/0.63  (step @p29 :rule symm :premises (@p28))
% 0.44/0.63  (step @p30 :rule cong :premises (@p29) :args ((forall @t65 @t142)))
% 0.44/0.63  (step @p31 :rule trans :premises (@p30 @p3))
% 0.44/0.63  (step @p32 :rule aci_norm :args ((= (or @t143 @t141) @t142)))
% 0.44/0.63  (step @p33 :rule refl :args (@t141))
% 0.44/0.63  (step @p34 :rule aci_norm :args ((= @t144 @t143)))
% 0.44/0.63  (step @p35 :rule aci_norm :args ((= (or @t119 (or @t116 (or @t113 (or @t110 (or @t116 (or @t99 (or @t93 @t90))))))) @t144)))
% 0.44/0.63  (step @p36 :rule bool-and-de-morgan :args (@t92 @t89 true))
% 0.44/0.63  (step @p37 :rule nary_cong :premises (@p21 @p36) :args ((or @t99 (not (and @t92 @t89)))))
% 0.44/0.63  (step @p38 :rule bool-and-de-morgan :args (@t98 @t92 (and @t89)))
% 0.44/0.63  (step @p39 :rule trans :premises (@p38 @p37))
% 0.44/0.63  (step @p40 :rule nary_cong :premises (@p24 @p39) :args ((or @t116 (not (and @t98 @t92 @t89)))))
% 0.44/0.63  (step @p41 :rule bool-and-de-morgan :args (@t115 @t98 (and @t92 @t89)))
% 0.44/0.63  (step @p42 :rule trans :premises (@p41 @p40))
% 0.44/0.63  (step @p43 :rule nary_cong :premises (@p22 @p42) :args ((or @t110 (not (and @t115 @t98 @t92 @t89)))))
% 0.44/0.63  (step @p44 :rule bool-and-de-morgan :args (@t109 @t115 (and @t98 @t92 @t89)))
% 0.44/0.63  (step @p45 :rule trans :premises (@p44 @p43))
% 0.44/0.63  (step @p46 :rule nary_cong :premises (@p23 @p45) :args ((or @t113 (not (and @t109 @t115 @t98 @t92 @t89)))))
% 0.44/0.63  (step @p47 :rule bool-and-de-morgan :args (@t112 @t109 (and @t115 @t98 @t92 @t89)))
% 0.44/0.63  (step @p48 :rule trans :premises (@p47 @p46))
% 0.44/0.63  (step @p49 :rule nary_cong :premises (@p24 @p48) :args ((or @t116 (not (and @t112 @t109 @t115 @t98 @t92 @t89)))))
% 0.44/0.63  (step @p50 :rule bool-and-de-morgan :args (@t115 @t112 (and @t109 @t115 @t98 @t92 @t89)))
% 0.44/0.63  (step @p51 :rule trans :premises (@p50 @p49))
% 0.44/0.63  (step @p52 :rule nary_cong :premises (@p25 @p51) :args ((or @t119 (not (and @t115 @t112 @t109 @t115 @t98 @t92 @t89)))))
% 0.44/0.63  (step @p53 :rule bool-and-de-morgan :args (@t118 @t115 (and @t112 @t109 @t115 @t98 @t92 @t89)))
% 0.44/0.63  (step @p54 :rule trans :premises (@p53 @p52))
% 0.44/0.63  (step @p55 :rule trans :premises (@p54 @p35))
% 0.44/0.63  (step @p56 :rule trans :premises (@p55 @p34))
% 0.44/0.63  (step @p57 :rule nary_cong :premises (@p56 @p33) :args ((or (not @t145) @t141)))
% 0.44/0.63  (step @p58 :rule trans :premises (@p57 @p32))
% 0.44/0.63  (step @p59 :rule bool-impl-elim :args (@t145 @t141))
% 0.44/0.63  (step @p60 :rule trans :premises (@p59 @p58))
% 0.44/0.63  (step @p61 :rule cong :premises (@p60) :args ((forall @t65 (=> @t145 @t141))))
% 0.44/0.63  (step @p62 :rule trans :premises (@p61 @p31))
% 0.44/0.63  (step @p63 :rule refl :args ((_ @t9 @t8 @t5)))
% 0.44/0.63  (step @p64 :rule refl :args ((_ @t4 @t3)))
% 0.44/0.63  (step @p65 :rule refl :args (@t100))
% 0.44/0.63  (step @p66 :rule cong :premises (@p65) :args (@t136))
% 0.44/0.63  (step @p67 :rule trans :premises (@p66 @p64))
% 0.44/0.63  (step @p68 :rule refl :args ((_ @t4 @t7)))
% 0.44/0.63  (step @p69 :rule refl :args (@t101))
% 0.44/0.63  (step @p70 :rule cong :premises (@p69) :args (@t137))
% 0.44/0.63  (step @p71 :rule trans :premises (@p70 @p68))
% 0.44/0.63  (step @p72 :rule cong :premises (@p71 @p67) :args (@t138))
% 0.44/0.63  (step @p73 :rule trans :premises (@p72 @p63))
% 0.44/0.63  (step @p74 :rule refl :args (@t9))
% 0.44/0.63  (step @p75 :rule ho_cong :premises (@p74 @p71))
% 0.44/0.63  (step @p76 :rule ho_cong :premises (@p75 @p67))
% 0.44/0.63  (step @p77 :rule cong :premises (@p76 @p73) :args ((= (_ (_ @t9 @t137) @t136) @t138)))
% 0.44/0.63  (step @p78 :rule symm :premises (@p77))
% 0.44/0.63  (step @p79 :rule refl :args (@t10))
% 0.44/0.63  (step @p80 :rule eq_resolve :premises (@p79 @p78))
% 0.44/0.63  (step @p81 :rule refl :args (@t4))
% 0.44/0.63  (step @p82 :rule ho_cong :premises (@p81 @p65))
% 0.44/0.63  (step @p83 :rule cong :premises (@p82 @p67) :args ((= (_ @t4 @t100) @t136)))
% 0.44/0.63  (step @p84 :rule symm :premises (@p83))
% 0.44/0.63  (step @p85 :rule refl :args (@t5))
% 0.44/0.63  (step @p86 :rule eq_resolve :premises (@p85 @p84))
% 0.44/0.63  (step @p87 :rule refl :args (@t3))
% 0.44/0.63  (step @p88 :rule cong :premises (@p87 @p65) :args ((= @t3 @t100)))
% 0.44/0.63  (step @p89 :rule symm :premises (@p88))
% 0.44/0.63  (step @p90 :rule eq_resolve :premises (@p87 @p89))
% 0.44/0.63  (step @p91 :rule ho_cong :premises (@p81 @p90))
% 0.44/0.63  (step @p92 :rule trans :premises (@p91 @p86))
% 0.44/0.63  (step @p93 :rule ho_cong :premises (@p81 @p69))
% 0.44/0.63  (step @p94 :rule cong :premises (@p93 @p71) :args ((= (_ @t4 @t101) @t137)))
% 0.44/0.63  (step @p95 :rule symm :premises (@p94))
% 0.44/0.63  (step @p96 :rule refl :args (@t8))
% 0.44/0.63  (step @p97 :rule eq_resolve :premises (@p96 @p95))
% 0.44/0.63  (step @p98 :rule refl :args (@t7))
% 0.44/0.63  (step @p99 :rule cong :premises (@p98 @p69) :args ((= @t7 @t101)))
% 0.44/0.63  (step @p100 :rule symm :premises (@p99))
% 0.44/0.63  (step @p101 :rule eq_resolve :premises (@p98 @p100))
% 0.44/0.63  (step @p102 :rule ho_cong :premises (@p81 @p101))
% 0.44/0.63  (step @p103 :rule trans :premises (@p102 @p97))
% 0.44/0.63  (step @p104 :rule ho_cong :premises (@p74 @p103))
% 0.44/0.63  (step @p105 :rule ho_cong :premises (@p104 @p92))
% 0.44/0.63  (step @p106 :rule trans :premises (@p105 @p80))
% 0.44/0.63  (step @p107 :rule refl :args ((_ @t4 @t13)))
% 0.44/0.63  (step @p108 :rule refl :args ((_ @t2 @t12)))
% 0.44/0.63  (step @p109 :rule refl :args (@t103))
% 0.44/0.63  (step @p110 :rule cong :premises (@p109) :args (@t104))
% 0.44/0.63  (step @p111 :rule trans :premises (@p110 @p108))
% 0.44/0.63  (step @p112 :rule cong :premises (@p111) :args (@t139))
% 0.44/0.63  (step @p113 :rule trans :premises (@p112 @p107))
% 0.44/0.63  (step @p114 :rule ho_cong :premises (@p81 @p111))
% 0.44/0.63  (step @p115 :rule cong :premises (@p114 @p113) :args ((= (_ @t4 @t104) @t139)))
% 0.44/0.63  (step @p116 :rule symm :premises (@p115))
% 0.44/0.63  (step @p117 :rule refl :args (@t14))
% 0.44/0.63  (step @p118 :rule eq_resolve :premises (@p117 @p116))
% 0.44/0.63  (step @p119 :rule refl :args (@t2))
% 0.44/0.63  (step @p120 :rule ho_cong :premises (@p119 @p109))
% 0.44/0.63  (step @p121 :rule cong :premises (@p120 @p111) :args ((= (_ @t2 @t103) @t104)))
% 0.44/0.63  (step @p122 :rule symm :premises (@p121))
% 0.44/0.63  (step @p123 :rule refl :args (@t13))
% 0.44/0.63  (step @p124 :rule eq_resolve :premises (@p123 @p122))
% 0.44/0.63  (step @p125 :rule refl :args (@t12))
% 0.44/0.63  (step @p126 :rule cong :premises (@p125 @p109) :args ((= @t12 @t103)))
% 0.44/0.63  (step @p127 :rule symm :premises (@p126))
% 0.44/0.63  (step @p128 :rule eq_resolve :premises (@p125 @p127))
% 0.44/0.63  (step @p129 :rule ho_cong :premises (@p119 @p128))
% 0.44/0.63  (step @p130 :rule trans :premises (@p129 @p124))
% 0.44/0.63  (step @p131 :rule ho_cong :premises (@p81 @p130))
% 0.44/0.63  (step @p132 :rule trans :premises (@p131 @p118))
% 0.44/0.63  (step @p133 :rule cong :premises (@p132 @p106) :args (@t15))
% 0.44/0.63  (step @p134 :rule refl :args (@t105))
% 0.44/0.63  (step @p135 :rule refl :args (@t17))
% 0.44/0.63  (step @p136 :rule cong :premises (@p135 @p134) :args ((= @t17 @t105)))
% 0.44/0.63  (step @p137 :rule symm :premises (@p136))
% 0.44/0.63  (step @p138 :rule eq_resolve :premises (@p135 @p137))
% 0.44/0.63  (step @p139 :rule cong :premises (@p138) :args (@t146))
% 0.44/0.63  (step @p140 :rule refl :args (@t107))
% 0.44/0.63  (step @p141 :rule refl :args (@t18))
% 0.44/0.63  (step @p142 :rule cong :premises (@p141 @p140) :args ((= @t18 @t107)))
% 0.44/0.63  (step @p143 :rule symm :premises (@p142))
% 0.44/0.63  (step @p144 :rule eq_resolve :premises (@p141 @p143))
% 0.44/0.63  (step @p145 :rule cong :premises (@p144) :args (@t147))
% 0.44/0.63  (step @p146 :rule nary_cong :premises (@p145 @p139 @p133) :args (@t148))
% 0.44/0.63  (step @p147 :rule cong :premises (@p146) :args ((forall @t20 @t148)))
% 0.44/0.63  (step @p148 :rule aci_norm :args ((= (or @t149 @t15) @t148)))
% 0.44/0.63  (step @p149 :rule refl :args (@t15))
% 0.44/0.63  (step @p150 :rule bool-and-de-morgan :args (@t18 @t17 true))
% 0.44/0.63  (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t150 @t15)))
% 0.44/0.63  (step @p152 :rule trans :premises (@p151 @p148))
% 0.44/0.63  (step @p153 :rule bool-impl-elim :args (@t19 @t15))
% 0.44/0.63  (step @p154 :rule trans :premises (@p153 @p152))
% 0.44/0.63  (step @p155 :rule cong :premises (@p154) :args (@t21))
% 0.44/0.63  (step @p156 :rule trans :premises (@p155 @p147))
% 0.44/0.63  (step @p157 :rule refl :args ((_ @t22 @t8)))
% 0.44/0.63  (step @p158 :rule cong :premises (@p71) :args (@t140))
% 0.44/0.63  (step @p159 :rule trans :premises (@p158 @p157))
% 0.44/0.63  (step @p160 :rule refl :args (@t22))
% 0.44/0.63  (step @p161 :rule ho_cong :premises (@p160 @p71))
% 0.44/0.63  (step @p162 :rule cong :premises (@p161 @p159) :args ((= (_ @t22 @t137) @t140)))
% 0.44/0.63  (step @p163 :rule symm :premises (@p162))
% 0.44/0.63  (step @p164 :rule refl :args (@t23))
% 0.44/0.63  (step @p165 :rule eq_resolve :premises (@p164 @p163))
% 0.44/0.63  (step @p166 :rule ho_cong :premises (@p160 @p103))
% 0.44/0.63  (step @p167 :rule trans :premises (@p166 @p165))
% 0.44/0.63  (step @p168 :rule nary_cong :premises (@p145 @p167) :args (@t151))
% 0.44/0.63  (step @p169 :rule cong :premises (@p168) :args ((forall @t24 @t151)))
% 0.44/0.63  (step @p170 :rule bool-impl-elim :args (@t18 @t23))
% 0.44/0.63  (step @p171 :rule cong :premises (@p170) :args (@t25))
% 0.44/0.63  (step @p172 :rule trans :premises (@p171 @p169))
% 0.44/0.63  (step @p173 :rule refl :args ((_ @t22 @t28)))
% 0.44/0.63  (step @p174 :rule refl :args (@t94))
% 0.44/0.63  (step @p175 :rule cong :premises (@p174) :args (@t95))
% 0.44/0.63  (step @p176 :rule trans :premises (@p175 @p173))
% 0.44/0.63  (step @p177 :rule ho_cong :premises (@p160 @p174))
% 0.44/0.63  (step @p178 :rule cong :premises (@p177 @p176) :args ((= (_ @t22 @t94) @t95)))
% 0.44/0.63  (step @p179 :rule symm :premises (@p178))
% 0.44/0.63  (step @p180 :rule refl :args (@t29))
% 0.44/0.63  (step @p181 :rule eq_resolve :premises (@p180 @p179))
% 0.44/0.63  (step @p182 :rule refl :args (@t28))
% 0.44/0.63  (step @p183 :rule cong :premises (@p182 @p174) :args ((= @t28 @t94)))
% 0.44/0.63  (step @p184 :rule symm :premises (@p183))
% 0.44/0.63  (step @p185 :rule eq_resolve :premises (@p182 @p184))
% 0.44/0.63  (step @p186 :rule ho_cong :premises (@p160 @p185))
% 0.44/0.63  (step @p187 :rule trans :premises (@p186 @p181))
% 0.44/0.63  (step @p188 :rule refl :args (@t96))
% 0.44/0.63  (step @p189 :rule refl :args (@t30))
% 0.44/0.63  (step @p190 :rule cong :premises (@p189 @p188) :args ((= @t30 @t96)))
% 0.44/0.63  (step @p191 :rule symm :premises (@p190))
% 0.44/0.63  (step @p192 :rule eq_resolve :premises (@p189 @p191))
% 0.44/0.63  (step @p193 :rule cong :premises (@p192) :args (@t152))
% 0.44/0.63  (step @p194 :rule refl :args (@t97))
% 0.44/0.63  (step @p195 :rule refl :args (@t31))
% 0.44/0.63  (step @p196 :rule cong :premises (@p195 @p194) :args ((= @t31 @t97)))
% 0.44/0.63  (step @p197 :rule symm :premises (@p196))
% 0.44/0.63  (step @p198 :rule eq_resolve :premises (@p195 @p197))
% 0.44/0.63  (step @p199 :rule cong :premises (@p198) :args (@t153))
% 0.44/0.63  (step @p200 :rule nary_cong :premises (@p199 @p193 @p187) :args (@t154))
% 0.44/0.63  (step @p201 :rule cong :premises (@p200) :args ((forall @t33 @t154)))
% 0.44/0.63  (step @p202 :rule aci_norm :args ((= (or (or @t153 @t152) @t29) @t154)))
% 0.44/0.63  (step @p203 :rule bool-and-de-morgan :args (@t31 @t30 true))
% 0.44/0.63  (step @p204 :rule nary_cong :premises (@p203 @p180) :args ((or (not @t32) @t29)))
% 0.44/0.63  (step @p205 :rule trans :premises (@p204 @p202))
% 0.44/0.63  (step @p206 :rule bool-impl-elim :args (@t32 @t29))
% 0.44/0.63  (step @p207 :rule trans :premises (@p206 @p205))
% 0.44/0.63  (step @p208 :rule cong :premises (@p207) :args (@t34))
% 0.44/0.63  (step @p209 :rule trans :premises (@p208 @p201))
% 0.44/0.63  (step @p210 :rule refl :args ((_ @t16 @t12)))
% 0.44/0.63  (step @p211 :rule cong :premises (@p109) :args (@t117))
% 0.44/0.63  (step @p212 :rule trans :premises (@p211 @p210))
% 0.44/0.63  (step @p213 :rule refl :args (@t16))
% 0.44/0.63  (step @p214 :rule ho_cong :premises (@p213 @p109))
% 0.44/0.63  (step @p215 :rule cong :premises (@p214 @p212) :args ((= (_ @t16 @t103) @t117)))
% 0.44/0.63  (step @p216 :rule symm :premises (@p215))
% 0.44/0.63  (step @p217 :rule refl :args (@t35))
% 0.44/0.63  (step @p218 :rule eq_resolve :premises (@p217 @p216))
% 0.44/0.63  (step @p219 :rule ho_cong :premises (@p213 @p128))
% 0.44/0.63  (step @p220 :rule trans :premises (@p219 @p218))
% 0.44/0.63  (step @p221 :rule nary_cong :premises (@p145 @p139 @p220) :args (@t155))
% 0.44/0.63  (step @p222 :rule cong :premises (@p221) :args ((forall @t20 @t155)))
% 0.44/0.63  (step @p223 :rule aci_norm :args ((= (or @t149 @t35) @t155)))
% 0.44/0.63  (step @p224 :rule nary_cong :premises (@p150 @p217) :args ((or @t150 @t35)))
% 0.44/0.63  (step @p225 :rule trans :premises (@p224 @p223))
% 0.44/0.63  (step @p226 :rule bool-impl-elim :args (@t19 @t35))
% 0.44/0.63  (step @p227 :rule trans :premises (@p226 @p225))
% 0.44/0.63  (step @p228 :rule cong :premises (@p227) :args (@t36))
% 0.44/0.63  (step @p229 :rule trans :premises (@p228 @p222))
% 0.44/0.63  (step @p230 :rule nary_cong :premises (@p229 @p209 @p172 @p156) :args (@t37))
% 0.44/0.63  (step @p231 :rule refl :args ((_ @t9 @t41 @t39)))
% 0.44/0.63  (step @p232 :rule refl :args (@t80))
% 0.44/0.63  (step @p233 :rule refl :args (@t81))
% 0.44/0.63  (step @p234 :rule cong :premises (@p233 @p232) :args (@t82))
% 0.44/0.63  (step @p235 :rule trans :premises (@p234 @p231))
% 0.44/0.63  (step @p236 :rule ho_cong :premises (@p74 @p233))
% 0.44/0.63  (step @p237 :rule ho_cong :premises (@p236 @p232))
% 0.44/0.63  (step @p238 :rule cong :premises (@p237 @p235) :args ((= (_ (_ @t9 @t81) @t80) @t82)))
% 0.44/0.63  (step @p239 :rule symm :premises (@p238))
% 0.44/0.63  (step @p240 :rule refl :args (@t42))
% 0.44/0.63  (step @p241 :rule eq_resolve :premises (@p240 @p239))
% 0.44/0.63  (step @p242 :rule refl :args (@t39))
% 0.44/0.63  (step @p243 :rule cong :premises (@p242 @p232) :args ((= @t39 @t80)))
% 0.44/0.63  (step @p244 :rule symm :premises (@p243))
% 0.44/0.63  (step @p245 :rule eq_resolve :premises (@p242 @p244))
% 0.44/0.63  (step @p246 :rule refl :args (@t41))
% 0.44/0.63  (step @p247 :rule cong :premises (@p246 @p233) :args ((= @t41 @t81)))
% 0.44/0.63  (step @p248 :rule symm :premises (@p247))
% 0.44/0.63  (step @p249 :rule eq_resolve :premises (@p246 @p248))
% 0.44/0.63  (step @p250 :rule ho_cong :premises (@p74 @p249))
% 0.44/0.63  (step @p251 :rule ho_cong :premises (@p250 @p245))
% 0.44/0.63  (step @p252 :rule trans :premises (@p251 @p241))
% 0.44/0.63  (step @p253 :rule refl :args ((_ @t4 @t44)))
% 0.44/0.63  (step @p254 :rule refl :args (@t83))
% 0.44/0.63  (step @p255 :rule cong :premises (@p254) :args (@t84))
% 0.44/0.63  (step @p256 :rule trans :premises (@p255 @p253))
% 0.44/0.63  (step @p257 :rule ho_cong :premises (@p81 @p254))
% 0.44/0.63  (step @p258 :rule cong :premises (@p257 @p256) :args ((= (_ @t4 @t83) @t84)))
% 0.44/0.63  (step @p259 :rule symm :premises (@p258))
% 0.44/0.63  (step @p260 :rule refl :args (@t45))
% 0.44/0.63  (step @p261 :rule eq_resolve :premises (@p260 @p259))
% 0.44/0.63  (step @p262 :rule refl :args (@t44))
% 0.44/0.63  (step @p263 :rule cong :premises (@p262 @p254) :args ((= @t44 @t83)))
% 0.44/0.63  (step @p264 :rule symm :premises (@p263))
% 0.44/0.63  (step @p265 :rule eq_resolve :premises (@p262 @p264))
% 0.44/0.63  (step @p266 :rule ho_cong :premises (@p81 @p265))
% 0.44/0.63  (step @p267 :rule trans :premises (@p266 @p261))
% 0.44/0.63  (step @p268 :rule cong :premises (@p267 @p252) :args (@t46))
% 0.44/0.63  (step @p269 :rule refl :args (@t85))
% 0.44/0.63  (step @p270 :rule refl :args (@t48))
% 0.44/0.63  (step @p271 :rule cong :premises (@p270 @p269) :args ((= @t48 @t85)))
% 0.44/0.63  (step @p272 :rule symm :premises (@p271))
% 0.44/0.63  (step @p273 :rule eq_resolve :premises (@p270 @p272))
% 0.44/0.63  (step @p274 :rule cong :premises (@p273) :args (@t156))
% 0.44/0.63  (step @p275 :rule refl :args (@t87))
% 0.44/0.63  (step @p276 :rule refl :args (@t49))
% 0.44/0.63  (step @p277 :rule cong :premises (@p276 @p275) :args ((= @t49 @t87)))
% 0.44/0.63  (step @p278 :rule symm :premises (@p277))
% 0.44/0.63  (step @p279 :rule eq_resolve :premises (@p276 @p278))
% 0.44/0.63  (step @p280 :rule cong :premises (@p279) :args (@t157))
% 0.44/0.63  (step @p281 :rule nary_cong :premises (@p280 @p274 @p268) :args (@t158))
% 0.44/0.63  (step @p282 :rule cong :premises (@p281) :args ((forall @t51 @t158)))
% 0.44/0.63  (step @p283 :rule aci_norm :args ((= (or @t159 @t46) @t158)))
% 0.44/0.63  (step @p284 :rule refl :args (@t46))
% 0.44/0.63  (step @p285 :rule bool-and-de-morgan :args (@t49 @t48 true))
% 0.44/0.63  (step @p286 :rule nary_cong :premises (@p285 @p284) :args ((or @t160 @t46)))
% 0.44/0.63  (step @p287 :rule trans :premises (@p286 @p283))
% 0.44/0.63  (step @p288 :rule bool-impl-elim :args (@t50 @t46))
% 0.44/0.63  (step @p289 :rule trans :premises (@p288 @p287))
% 0.44/0.63  (step @p290 :rule cong :premises (@p289) :args (@t52))
% 0.44/0.63  (step @p291 :rule trans :premises (@p290 @p282))
% 0.44/0.63  (step @p292 :rule refl :args ((_ @t22 @t41)))
% 0.44/0.63  (step @p293 :rule cong :premises (@p233) :args (@t91))
% 0.44/0.63  (step @p294 :rule trans :premises (@p293 @p292))
% 0.44/0.63  (step @p295 :rule ho_cong :premises (@p160 @p233))
% 0.44/0.63  (step @p296 :rule cong :premises (@p295 @p294) :args ((= (_ @t22 @t81) @t91)))
% 0.44/0.63  (step @p297 :rule symm :premises (@p296))
% 0.44/0.63  (step @p298 :rule refl :args (@t53))
% 0.44/0.63  (step @p299 :rule eq_resolve :premises (@p298 @p297))
% 0.44/0.63  (step @p300 :rule ho_cong :premises (@p160 @p249))
% 0.44/0.63  (step @p301 :rule trans :premises (@p300 @p299))
% 0.44/0.63  (step @p302 :rule nary_cong :premises (@p280 @p301) :args (@t161))
% 0.44/0.63  (step @p303 :rule cong :premises (@p302) :args ((forall @t54 @t161)))
% 0.44/0.63  (step @p304 :rule bool-impl-elim :args (@t49 @t53))
% 0.44/0.63  (step @p305 :rule cong :premises (@p304) :args (@t55))
% 0.44/0.63  (step @p306 :rule trans :premises (@p305 @p303))
% 0.44/0.63  (step @p307 :rule refl :args ((_ @t47 @t44)))
% 0.44/0.63  (step @p308 :rule cong :premises (@p254) :args (@t114))
% 0.44/0.63  (step @p309 :rule trans :premises (@p308 @p307))
% 0.44/0.63  (step @p310 :rule refl :args (@t47))
% 0.44/0.63  (step @p311 :rule ho_cong :premises (@p310 @p254))
% 0.44/0.63  (step @p312 :rule cong :premises (@p311 @p309) :args ((= (_ @t47 @t83) @t114)))
% 0.44/0.63  (step @p313 :rule symm :premises (@p312))
% 0.44/0.63  (step @p314 :rule refl :args (@t56))
% 0.44/0.63  (step @p315 :rule eq_resolve :premises (@p314 @p313))
% 0.44/0.63  (step @p316 :rule ho_cong :premises (@p310 @p265))
% 0.44/0.63  (step @p317 :rule trans :premises (@p316 @p315))
% 0.44/0.63  (step @p318 :rule nary_cong :premises (@p280 @p274 @p317) :args (@t162))
% 0.44/0.63  (step @p319 :rule cong :premises (@p318) :args ((forall @t51 @t162)))
% 0.44/0.63  (step @p320 :rule aci_norm :args ((= (or @t159 @t56) @t162)))
% 0.44/0.63  (step @p321 :rule nary_cong :premises (@p285 @p314) :args ((or @t160 @t56)))
% 0.44/0.63  (step @p322 :rule trans :premises (@p321 @p320))
% 0.44/0.63  (step @p323 :rule bool-impl-elim :args (@t50 @t56))
% 0.44/0.63  (step @p324 :rule trans :premises (@p323 @p322))
% 0.44/0.63  (step @p325 :rule cong :premises (@p324) :args (@t57))
% 0.44/0.63  (step @p326 :rule trans :premises (@p325 @p319))
% 0.44/0.63  (step @p327 :rule refl :args ((_ @t43 @t7 @t3)))
% 0.44/0.63  (step @p328 :rule cong :premises (@p69 @p65) :args (@t102))
% 0.44/0.63  (step @p329 :rule trans :premises (@p328 @p327))
% 0.44/0.63  (step @p330 :rule refl :args (@t43))
% 0.44/0.63  (step @p331 :rule ho_cong :premises (@p330 @p69))
% 0.44/0.63  (step @p332 :rule ho_cong :premises (@p331 @p65))
% 0.44/0.63  (step @p333 :rule cong :premises (@p332 @p329) :args ((= (_ (_ @t43 @t101) @t100) @t102)))
% 0.44/0.63  (step @p334 :rule symm :premises (@p333))
% 0.44/0.63  (step @p335 :rule refl :args (@t58))
% 0.44/0.63  (step @p336 :rule eq_resolve :premises (@p335 @p334))
% 0.44/0.63  (step @p337 :rule ho_cong :premises (@p330 @p101))
% 0.44/0.63  (step @p338 :rule ho_cong :premises (@p337 @p90))
% 0.44/0.63  (step @p339 :rule trans :premises (@p338 @p336))
% 0.44/0.63  (step @p340 :rule cong :premises (@p130 @p339) :args (@t59))
% 0.44/0.63  (step @p341 :rule nary_cong :premises (@p145 @p139 @p340) :args (@t163))
% 0.44/0.63  (step @p342 :rule cong :premises (@p341) :args ((forall @t20 @t163)))
% 0.44/0.63  (step @p343 :rule aci_norm :args ((= (or @t149 @t59) @t163)))
% 0.44/0.63  (step @p344 :rule refl :args (@t59))
% 0.44/0.63  (step @p345 :rule nary_cong :premises (@p150 @p344) :args ((or @t150 @t59)))
% 0.44/0.63  (step @p346 :rule trans :premises (@p345 @p343))
% 0.44/0.63  (step @p347 :rule bool-impl-elim :args (@t19 @t59))
% 0.44/0.63  (step @p348 :rule trans :premises (@p347 @p346))
% 0.44/0.63  (step @p349 :rule cong :premises (@p348) :args (@t60))
% 0.44/0.63  (step @p350 :rule trans :premises (@p349 @p342))
% 0.44/0.63  (step @p351 :rule refl :args ((_ @t47 @t7)))
% 0.44/0.63  (step @p352 :rule cong :premises (@p69) :args (@t111))
% 0.44/0.63  (step @p353 :rule trans :premises (@p352 @p351))
% 0.44/0.63  (step @p354 :rule ho_cong :premises (@p310 @p69))
% 0.44/0.63  (step @p355 :rule cong :premises (@p354 @p353) :args ((= (_ @t47 @t101) @t111)))
% 0.44/0.63  (step @p356 :rule symm :premises (@p355))
% 0.44/0.63  (step @p357 :rule refl :args (@t61))
% 0.44/0.63  (step @p358 :rule eq_resolve :premises (@p357 @p356))
% 0.44/0.63  (step @p359 :rule ho_cong :premises (@p310 @p101))
% 0.44/0.63  (step @p360 :rule trans :premises (@p359 @p358))
% 0.44/0.63  (step @p361 :rule nary_cong :premises (@p145 @p360) :args (@t164))
% 0.44/0.63  (step @p362 :rule cong :premises (@p361) :args ((forall @t24 @t164)))
% 0.44/0.63  (step @p363 :rule bool-impl-elim :args (@t18 @t61))
% 0.44/0.63  (step @p364 :rule cong :premises (@p363) :args (@t62))
% 0.44/0.63  (step @p365 :rule trans :premises (@p364 @p362))
% 0.44/0.63  (step @p366 :rule nary_cong :premises (@p229 @p326 @p365 @p350 @p326 @p209 @p306 @p291) :args (@t63))
% 0.44/0.63  (step @p367 :rule cong :premises (@p366 @p230) :args (@t64))
% 0.44/0.63  (step @p368 :rule cong :premises (@p367) :args (@t66))
% 0.44/0.63  (step @p369 :rule trans :premises (@p368 @p62))
% 0.44/0.63  (step @p370 :rule cong :premises (@p369) :args (@t67))
% 0.44/0.63  (step @p371 :rule eq_resolve :premises (@p1 @p370))
% 0.44/0.63  (step @p372 :rule skolemize :premises (@p371))
% 0.44/0.63  (step @p373 :rule bool-double-not-elim :args (@t170))
% 0.44/0.63  (step @p374 :rule refl :args (@t219))
% 0.44/0.63  (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t219 (not @t206))))
% 0.44/0.63  (step @p376 :rule cnf_or_neg :args (@t219 5))
% 0.44/0.63  (step @p377 :rule eq_resolve :premises (@p376 @p375))
% 0.44/0.63  (step @p378 :rule reordering :premises (@p377) :args ((or @t170 @t219)))
% 0.44/0.63  (step @p379 :rule chain_m_resolution :premises (@p378 @p372) :args (@t170 @t220 @t221))
% 0.44/0.63  (step @p380 :rule instantiate :premises (@p379) :args ((@list @t189)))
% 0.44/0.63  (step @p381 :rule bool-double-not-elim :args (@t185))
% 0.44/0.63  (step @p382 :rule refl :args (@t187))
% 0.44/0.63  (step @p383 :rule nary_cong :premises (@p382 @p381) :args ((or @t187 (not @t186))))
% 0.44/0.63  (step @p384 :rule cnf_or_neg :args (@t187 0))
% 0.44/0.63  (step @p385 :rule eq_resolve :premises (@p384 @p383))
% 0.44/0.63  (step @p386 :rule reordering :premises (@p385) :args ((or @t185 @t187)))
% 0.44/0.63  (step @p387 :rule bool-double-not-elim :args (@t183))
% 0.44/0.63  (step @p388 :rule nary_cong :premises (@p382 @p387) :args ((or @t187 (not @t184))))
% 0.44/0.63  (step @p389 :rule cnf_or_neg :args (@t187 1))
% 0.44/0.63  (step @p390 :rule eq_resolve :premises (@p389 @p388))
% 0.44/0.63  (step @p391 :rule reordering :premises (@p390) :args ((or @t183 @t187)))
% 0.44/0.63  (step @p392 :rule cnf_or_neg :args (@t187 2))
% 0.44/0.63  (step @p393 :rule bool-double-not-elim :args (@t215))
% 0.44/0.63  (step @p394 :rule nary_cong :premises (@p374 @p393) :args ((or @t219 (not @t216))))
% 0.44/0.63  (step @p395 :rule cnf_or_neg :args (@t219 2))
% 0.44/0.63  (step @p396 :rule eq_resolve :premises (@p395 @p394))
% 0.44/0.63  (step @p397 :rule reordering :premises (@p396) :args ((or @t215 @t219)))
% 0.44/0.63  (step @p398 :rule chain_m_resolution :premises (@p397 @p372) :args (@t215 @t220 @t221))
% 0.44/0.63  (step @p399 :rule instantiate :premises (@p398) :args ((@list @t174)))
% 0.44/0.63  (step @p400 :rule cnf_or_pos :args (@t223))
% 0.44/0.63  (step @p401 :rule reordering :premises (@p400) :args ((or @t186 @t222 (not @t223))))
% 0.44/0.63  (step @p402 :rule instantiate :premises (@p398) :args ((@list @t171)))
% 0.44/0.63  (step @p403 :rule cnf_or_pos :args (@t225))
% 0.44/0.63  (step @p404 :rule reordering :premises (@p403) :args ((or @t184 @t224 (not @t225))))
% 0.44/0.63  (step @p405 :rule bool-double-not-elim :args (@t213))
% 0.44/0.63  (step @p406 :rule nary_cong :premises (@p374 @p405) :args ((or @t219 (not @t214))))
% 0.44/0.63  (step @p407 :rule cnf_or_neg :args (@t219 3))
% 0.44/0.63  (step @p408 :rule eq_resolve :premises (@p407 @p406))
% 0.44/0.63  (step @p409 :rule reordering :premises (@p408) :args ((or @t213 @t219)))
% 0.44/0.63  (step @p410 :rule chain_m_resolution :premises (@p409 @p372) :args (@t213 @t220 @t221))
% 0.44/0.63  (step @p411 :rule instantiate :premises (@p410) :args ((@list @t174 @t171)))
% 0.44/0.63  (step @p412 :rule cnf_or_pos :args (@t228))
% 0.44/0.63  (step @p413 :rule reordering :premises (@p412) :args ((or @t186 @t184 @t227 (not @t228))))
% 0.44/0.63  (step @p414 :rule bool-double-not-elim :args (@t204))
% 0.44/0.63  (step @p415 :rule nary_cong :premises (@p374 @p414) :args ((or @t219 (not @t205))))
% 0.44/0.63  (step @p416 :rule cnf_or_neg :args (@t219 6))
% 0.44/0.63  (step @p417 :rule eq_resolve :premises (@p416 @p415))
% 0.44/0.63  (step @p418 :rule reordering :premises (@p417) :args ((or @t204 @t219)))
% 0.44/0.63  (step @p419 :rule chain_m_resolution :premises (@p418 @p372) :args (@t204 @t220 @t221))
% 0.44/0.63  (step @p420 :rule eq-symm :args (@t229 @t177))
% 0.44/0.63  (step @p421 :rule refl :args (@t230))
% 0.44/0.63  (step @p422 :rule refl :args (@t231))
% 0.44/0.63  (step @p423 :rule nary_cong :premises (@p422 @p421 @p420) :args (@t232))
% 0.44/0.63  (step @p424 :rule refl :args (@t204))
% 0.44/0.63  (step @p425 :rule cong :premises (@p424 @p423) :args ((=> @t204 @t232)))
% 0.44/0.63  (assume-push @p489 @t204)
% 0.44/0.63  (step @p427 :rule instantiate :premises (@p419) :args ((@list @t175 @t173)))
% 0.44/0.63  (step-pop @p490 :rule scope :premises (@p427))
% 0.44/0.63  (step @p428 :rule process_scope :premises (@p490) :args (@t232))
% 0.44/0.63  (step @p430 :rule eq_resolve :premises (@p428 @p425))
% 0.44/0.63  (step @p431 :rule implies_elim :premises (@p430))
% 0.44/0.63  (step @p432 :rule chain_m_resolution :premises (@p431 @p419) :args (@t234 (@list false) (@list @t204)))
% 0.44/0.63  (step @p433 :rule cnf_or_pos :args (@t234))
% 0.44/0.63  (step @p434 :rule reordering :premises (@p433) :args ((or @t231 @t230 @t233 (not @t234))))
% 0.44/0.63  (assume-push @p491 @t227)
% 0.44/0.63  (assume-push @p492 @t233)
% 0.44/0.63  (assume-push @p493 @t233)
% 0.44/0.63  (assume-push @p494 @t227)
% 0.44/0.63  (step @p439 :rule symm :premises (@p492))
% 0.44/0.63  (step @p440 :rule cong :premises (@p491) :args (@t180))
% 0.44/0.63  (step @p441 :rule trans :premises (@p440 @p439))
% 0.44/0.63  (step-pop @p495 :rule scope :premises (@p441))
% 0.44/0.63  (step-pop @p496 :rule scope :premises (@p495))
% 0.44/0.63  (step @p442 :rule process_scope :premises (@p496) :args (@t181))
% 0.44/0.63  (step @p445 :rule and_intro :premises (@p492 @p491))
% 0.44/0.63  (step @p446 :rule modus_ponens :premises (@p445 @p442))
% 0.44/0.63  (step-pop @p497 :rule scope :premises (@p446))
% 0.44/0.63  (step-pop @p498 :rule scope :premises (@p497))
% 0.44/0.63  (step @p447 :rule process_scope :premises (@p498) :args (@t181))
% 0.44/0.63  (step @p450 :rule implies_elim :premises (@p447))
% 0.44/0.63  (step @p451 :rule cnf_and_neg :args (@t235))
% 0.44/0.63  (step @p452 :rule resolution :premises (@p451 @p450) :args (true @t235))
% 0.44/0.63  (step @p453 :rule reordering :premises (@p452) :args ((or @t181 (not @t227) (not @t233))))
% 0.44/0.63  (step @p454 :rule chain_m_resolution :premises (@p453 @p434 @p432 @p413 @p411 @p404 @p402 @p401 @p399 @p392 @p391 @p386) :args (@t187 (@list false false false false false false false false true false false) (@list @t233 @t234 @t227 @t228 @t224 @t225 @t222 @t223 @t181 @t183 @t185)))
% 0.44/0.63  (step @p455 :rule bool-double-not-elim :args (@t207))
% 0.44/0.63  (step @p456 :rule nary_cong :premises (@p374 @p455) :args ((or @t219 (not @t208))))
% 0.44/0.63  (step @p457 :rule cnf_or_neg :args (@t219 4))
% 0.44/0.63  (step @p458 :rule eq_resolve :premises (@p457 @p456))
% 0.44/0.63  (step @p459 :rule reordering :premises (@p458) :args ((or @t207 @t219)))
% 0.44/0.63  (step @p460 :rule chain_m_resolution :premises (@p459 @p372) :args (@t207 @t220 @t221))
% 0.44/0.63  (step @p461 :rule instantiate :premises (@p460) :args ((@list @t195 @t194)))
% 0.44/0.63  (step @p462 :rule bool-double-not-elim :args (@t217))
% 0.44/0.63  (step @p463 :rule nary_cong :premises (@p374 @p462) :args ((or @t219 (not @t218))))
% 0.44/0.63  (step @p464 :rule cnf_or_neg :args (@t219 0))
% 0.44/0.63  (step @p465 :rule eq_resolve :premises (@p464 @p463))
% 0.44/0.63  (step @p466 :rule reordering :premises (@p465) :args ((or @t217 @t219)))
% 0.44/0.63  (step @p467 :rule chain_m_resolution :premises (@p466 @p372) :args (@t217 @t220 @t221))
% 0.44/0.63  (step @p468 :rule instantiate :premises (@p467) :args ((@list @t198 @t197)))
% 0.44/0.63  (step @p469 :rule cnf_or_neg :args (@t219 7))
% 0.44/0.63  (step @p470 :rule chain_m_resolution :premises (@p469 @p372) :args ((not @t200) @t220 @t221))
% 0.44/0.63  (step @p471 :rule cnf_and_neg :args (@t200))
% 0.44/0.63  (step @p472 :rule chain_m_resolution :premises (@p471 @p470 @p468 @p461 @p454) :args ((not @t193) (@list true false false false) (@list @t200 @t199 @t196 @t187)))
% 0.44/0.63  (step @p473 :rule cnf_or_neg :args (@t193 1))
% 0.44/0.63  (step @p474 :rule chain_m_resolution :premises (@p473 @p472) :args ((not @t190) @t220 @t236))
% 0.44/0.63  (step @p475 :rule instantiate :premises (@p398) :args ((@list @t188)))
% 0.44/0.63  (step @p476 :rule bool-double-not-elim :args (@t191))
% 0.44/0.63  (step @p477 :rule refl :args (@t193))
% 0.44/0.63  (step @p478 :rule nary_cong :premises (@p477 @p476) :args ((or @t193 (not @t192))))
% 0.44/0.63  (step @p479 :rule cnf_or_neg :args (@t193 0))
% 0.44/0.63  (step @p480 :rule eq_resolve :premises (@p479 @p478))
% 0.44/0.63  (step @p481 :rule reordering :premises (@p480) :args ((or @t191 @t193)))
% 0.44/0.63  (step @p482 :rule chain_m_resolution :premises (@p481 @p472) :args (@t191 @t220 @t236))
% 0.44/0.63  (step @p483 :rule cnf_or_pos :args (@t238))
% 0.44/0.63  (step @p484 :rule reordering :premises (@p483) :args ((or @t192 @t237 (not @t238))))
% 0.44/0.63  (step @p485 :rule chain_m_resolution :premises (@p484 @p482 @p475) :args (@t237 (@list false false) (@list @t191 @t238)))
% 0.44/0.63  (step @p486 :rule cnf_or_pos :args (@t240))
% 0.44/0.63  (step @p487 :rule reordering :premises (@p486) :args ((or @t190 @t239 (not @t240))))
% 0.44/0.63  (step @p488 false :rule chain_m_resolution :premises (@p487 @p485 @p474 @p380) :args (false (@list false true false) (@list @t237 @t190 @t240)))
% 0.44/0.63  )
% 0.44/0.63  % SZS output end Proof
% 0.44/0.63  % cvc5 exiting
%------------------------------------------------------------------------------