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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : QUA011^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 08:44:40 AM UTC 2026

% Result   : Theorem 0.36s 0.60s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : QUA011^1 : TPTP v9.2.1. Released v4.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n002.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 : Tue Jun  2 13:20:33 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TH0
% 0.36/0.60  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.36/0.60  % SZS status Theorem
% 0.36/0.60  % SZS output start Proof
% 0.36/0.60  (
% 0.36/0.60  (declare-sort $$unsorted 0)
% 0.36/0.60  (declare-const tptp.sup (-> (-> $$unsorted Bool) $$unsorted))
% 0.36/0.60  (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.60  (declare-const tptp.one $$unsorted)
% 0.36/0.60  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 0.36/0.60  (declare-const tptp.zero $$unsorted)
% 0.36/0.60  (define tptp.emptyset () (lambda (@list (@var "X" $$unsorted)) false))
% 0.36/0.60  (define tptp.union () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 0.36/0.60  (define tptp.singleton () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (lambda (@list _let_1 _let_2) (= _let_2 _let_1)))))
% 0.36/0.60  (define tptp.supset () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "F" (-> (-> $$unsorted Bool) Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ _let_3 _let_2) (= (_ tptp.sup _let_2) _let_1))))))))
% 0.36/0.60  (define tptp.unionset () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "F" (-> (-> $$unsorted Bool) Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ _let_3 _let_2) (_ _let_2 _let_1))))))))
% 0.36/0.60  (define tptp.addition () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.sup (_ (_ tptp.union (_ tptp.singleton _let_2)) (_ tptp.singleton _let_1)))))))
% 0.36/0.60  (define tptp.crossmult () (let ((_let_1 (@var "Y1" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (let ((_let_4 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_5 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_5 _let_4 _let_3) (exists (@list _let_2 _let_1) (and (_ _let_5 _let_2) (_ _let_4 _let_1) (= _let_3 (_ (_ tptp.multiplication _let_2) _let_1)))))))))))
% 0.36/0.60  (define @t1 () (= (_ tptp.sup tptp.emptyset) tptp.zero))
% 0.36/0.60  (define @t2 () (@var "X" $$unsorted))
% 0.36/0.60  (define @t3 () (_ tptp.singleton @t2))
% 0.36/0.60  (define @t4 () (@list @t2))
% 0.36/0.60  (define @t5 () (@var "X" (-> (-> $$unsorted Bool) Bool)))
% 0.36/0.60  (define @t6 () (@var "X2" $$unsorted))
% 0.36/0.60  (define @t7 () (@var "X1" $$unsorted))
% 0.36/0.60  (define @t8 () (@var "Y" (-> $$unsorted Bool)))
% 0.36/0.60  (define @t9 () (@var "X" (-> $$unsorted Bool)))
% 0.36/0.60  (define @t10 () (_ tptp.sup @t8))
% 0.36/0.60  (define @t11 () (_ tptp.sup @t9))
% 0.36/0.60  (define @t12 () (_ tptp.multiplication @t11))
% 0.36/0.60  (define @t13 () (_ @t12 @t10))
% 0.36/0.60  (define @t14 () (= @t13 (_ tptp.sup (_ (_ tptp.crossmult @t9) @t8))))
% 0.36/0.60  (define @t15 () (@list @t9 @t8))
% 0.36/0.60  (define @t16 () (forall @t15 @t14))
% 0.36/0.60  (define @t17 () (_ @t12 tptp.zero))
% 0.36/0.60  (define @t18 () (@list @t9))
% 0.36/0.60  (define @t19 () (forall @t18 (= @t17 tptp.zero)))
% 0.36/0.60  (define @t20 () (not @t19))
% 0.36/0.60  (define @t21 () (lambda @t4 false))
% 0.36/0.60  (define @t22 () (@var "U" $$unsorted))
% 0.36/0.60  (define @t23 () (lambda (@list @t9 @t8 @t22) (or (_ @t9 @t22) (_ @t8 @t22))))
% 0.36/0.60  (define @t24 () (lambda (@list @t2 @t22) (= @t22 @t2)))
% 0.36/0.60  (define @t25 () (@var "F" (-> (-> $$unsorted Bool) Bool)))
% 0.36/0.60  (define @t26 () (_ @t25 @t8))
% 0.36/0.60  (define @t27 () (@list @t8))
% 0.36/0.60  (define @t28 () (@list @t25 @t2))
% 0.36/0.60  (define @t29 () (lambda @t28 (exists @t27 (and @t26 (= @t10 @t2)))))
% 0.36/0.60  (define @t30 () (lambda @t28 (exists @t27 (and @t26 (_ @t8 @t2)))))
% 0.36/0.60  (define @t31 () (@var "Y" $$unsorted))
% 0.36/0.60  (define @t32 () (lambda (@list @t2 @t31) (_ tptp.sup (_ (_ tptp.union @t3) (_ tptp.singleton @t31)))))
% 0.36/0.60  (define @t33 () (@var "Y1" $$unsorted))
% 0.36/0.60  (define @t34 () (_ (_ tptp.multiplication @t7) @t33))
% 0.36/0.60  (define @t35 () (@var "A" $$unsorted))
% 0.36/0.60  (define @t36 () (= @t35 @t34))
% 0.36/0.60  (define @t37 () (_ @t8 @t33))
% 0.36/0.60  (define @t38 () (_ @t9 @t7))
% 0.36/0.60  (define @t39 () (and @t38 @t37 @t36))
% 0.36/0.60  (define @t40 () (@list @t7 @t33))
% 0.36/0.60  (define @t41 () (exists @t40 @t39))
% 0.36/0.60  (define @t42 () (@list @t9 @t8 @t35))
% 0.36/0.60  (define @t43 () (lambda @t42 @t41))
% 0.36/0.60  (define @t44 () (tptp.multiplication @t7 @t33))
% 0.36/0.60  (define @t45 () (= @t35 @t44))
% 0.36/0.60  (define @t46 () (not @t45))
% 0.36/0.60  (define @t47 () (@var "BOUND_VARIABLE_7928" $$unsorted))
% 0.36/0.60  (define @t48 () (lambda (@list @t47) false))
% 0.36/0.60  (define @t49 () (@purify @t48))
% 0.36/0.60  (define @t50 () (not (_ @t49 @t33)))
% 0.36/0.60  (define @t51 () (tptp.sup @t48))
% 0.36/0.60  (define @t52 () (tptp.sup @t9))
% 0.36/0.60  (define @t53 () (forall @t18 (= @t51 (tptp.multiplication @t52 @t51))))
% 0.36/0.60  (define @t54 () (@quantifiers_skolemize @t53 0))
% 0.36/0.60  (define @t55 () (not (_ @t54 @t7)))
% 0.36/0.60  (define @t56 () (or @t55 @t50 @t46))
% 0.36/0.60  (define @t57 () (forall @t40 @t56))
% 0.36/0.60  (define @t58 () (not @t57))
% 0.36/0.60  (define @t59 () (@list @t35))
% 0.36/0.60  (define @t60 () (lambda @t59 @t58))
% 0.36/0.60  (define @t61 () (@purify @t60))
% 0.36/0.60  (define @t62 () (_ @t61 @t35))
% 0.36/0.60  (define @t63 () (_ @t60 @t35))
% 0.36/0.60  (define @t64 () (= @t62 @t63))
% 0.36/0.60  (define @t65 () (forall @t59 @t64))
% 0.36/0.60  (define @t66 () (@const 0 $$unsorted))
% 0.36/0.60  (define @t67 () (not (= @t66 @t44)))
% 0.36/0.60  (define @t68 () (or @t55 @t50 @t67))
% 0.36/0.60  (define @t69 () (forall @t40 @t68))
% 0.36/0.60  (define @t70 () (not @t69))
% 0.36/0.60  (define @t71 () (_ @t61 @t66))
% 0.36/0.60  (define @t72 () (forall @t59 (= @t58 @t62)))
% 0.36/0.60  (define @t73 () (= @t70 @t71))
% 0.36/0.60  (define @t74 () (not (= @t44 @t66)))
% 0.36/0.60  (define @t75 () (forall @t40 (or @t55 @t50 @t74)))
% 0.36/0.60  (define @t76 () (not @t75))
% 0.36/0.60  (define @t77 () (= @t71 @t76))
% 0.36/0.60  (define @t78 () (@list false))
% 0.36/0.60  (define @t79 () (not @t36))
% 0.36/0.60  (define @t80 () (not @t37))
% 0.36/0.60  (define @t81 () (not @t38))
% 0.36/0.60  (define @t82 () (or @t81 @t80 @t79))
% 0.36/0.60  (define @t83 () (forall @t40 @t82))
% 0.36/0.60  (define @t84 () (lambda @t59 (not @t83)))
% 0.36/0.60  (define @t85 () (_ @t8 @t33))
% 0.36/0.60  (define @t86 () (not @t85))
% 0.36/0.60  (define @t87 () (_ @t9 @t7))
% 0.36/0.60  (define @t88 () (not @t87))
% 0.36/0.60  (define @t89 () (or @t88 @t86 @t46))
% 0.36/0.60  (define @t90 () (forall @t40 @t89))
% 0.36/0.60  (define @t91 () (not @t90))
% 0.36/0.60  (define @t92 () (lambda @t59 @t91))
% 0.36/0.60  (define @t93 () (tptp.sup @t92))
% 0.36/0.60  (define @t94 () (_ tptp.sup @t92))
% 0.36/0.60  (define @t95 () (tptp.sup @t8))
% 0.36/0.60  (define @t96 () (tptp.multiplication @t52 @t95))
% 0.36/0.60  (define @t97 () (_ tptp.multiplication @t52))
% 0.36/0.60  (define @t98 () (= @t13 @t94))
% 0.36/0.60  (define @t99 () (lambda (@list @t8 @t35) @t91))
% 0.36/0.60  (define @t100 () (_ (lambda @t42 @t91) @t9))
% 0.36/0.60  (define @t101 () (= @t13 (_ tptp.sup (_ @t100 @t8))))
% 0.36/0.60  (define @t102 () (forall @t40 (not @t39)))
% 0.36/0.60  (define @t103 () (not @t102))
% 0.36/0.60  (define @t104 () (_ @t48 @t33))
% 0.36/0.60  (define @t105 () (not @t104))
% 0.36/0.60  (define @t106 () (or @t55 @t105 @t46))
% 0.36/0.60  (define @t107 () (forall @t40 @t106))
% 0.36/0.60  (define @t108 () (not @t107))
% 0.36/0.60  (define @t109 () (lambda @t59 @t108))
% 0.36/0.60  (define @t110 () (tptp.sup @t60))
% 0.36/0.60  (define @t111 () (tptp.sup @t49))
% 0.36/0.60  (define @t112 () (tptp.sup @t54))
% 0.36/0.60  (define @t113 () (tptp.multiplication @t112 @t111))
% 0.36/0.60  (define @t114 () (= @t113 @t110))
% 0.36/0.60  (define @t115 () (forall @t15 (= @t96 @t93)))
% 0.36/0.60  (define @t116 () (= @t113 (tptp.sup @t61)))
% 0.36/0.60  (define @t117 () (_ tptp.sup @t48))
% 0.36/0.60  (define @t118 () (tptp.multiplication @t52 @t117))
% 0.36/0.60  (define @t119 () (= @t117 @t118))
% 0.36/0.60  (define @t120 () (forall @t18 @t119))
% 0.36/0.60  (define @t121 () (@list @t47))
% 0.36/0.60  (define @t122 () (tptp.multiplication @t52 tptp.zero))
% 0.36/0.60  (define @t123 () (= tptp.zero @t122))
% 0.36/0.60  (define @t124 () (forall @t18 @t123))
% 0.36/0.60  (define @t125 () (= tptp.zero @t17))
% 0.36/0.60  (define @t126 () (= @t111 @t113))
% 0.36/0.60  (define @t127 () (not @t126))
% 0.36/0.60  (define @t128 () (not @t53))
% 0.36/0.60  (define @t129 () (tptp.multiplication @t112 @t51))
% 0.36/0.60  (define @t130 () (= @t51 @t129))
% 0.36/0.60  (define @t131 () (not @t130))
% 0.36/0.60  (define @t132 () (@list true))
% 0.36/0.60  (define @t133 () (= @t49 @t61))
% 0.36/0.60  (define @t134 () (and @t116 @t133))
% 0.36/0.60  (define @t135 () (not @t133))
% 0.36/0.60  (define @t136 () (not (_ @t49 @t7)))
% 0.36/0.60  (define @t137 () (or @t136 @t50 @t46))
% 0.36/0.60  (define @t138 () (forall @t40 @t137))
% 0.36/0.60  (define @t139 () (not @t138))
% 0.36/0.60  (define @t140 () (lambda @t59 @t139))
% 0.36/0.60  (define @t141 () (@purify @t140))
% 0.36/0.60  (define @t142 () (_ @t141 @t35))
% 0.36/0.60  (define @t143 () (_ @t140 @t35))
% 0.36/0.60  (define @t144 () (= @t142 @t143))
% 0.36/0.60  (define @t145 () (forall @t59 @t144))
% 0.36/0.60  (define @t146 () (@const 1 $$unsorted))
% 0.36/0.60  (define @t147 () (not (= @t146 @t44)))
% 0.36/0.60  (define @t148 () (or @t136 @t50 @t147))
% 0.36/0.60  (define @t149 () (forall @t40 @t148))
% 0.36/0.60  (define @t150 () (not @t149))
% 0.36/0.60  (define @t151 () (_ @t141 @t146))
% 0.36/0.60  (define @t152 () (forall @t59 (= @t139 @t142)))
% 0.36/0.60  (define @t153 () (= @t150 @t151))
% 0.36/0.60  (define @t154 () (not (= @t44 @t146)))
% 0.36/0.60  (define @t155 () (forall @t40 (or @t136 @t50 @t154)))
% 0.36/0.60  (define @t156 () (not @t155))
% 0.36/0.60  (define @t157 () (= @t151 @t156))
% 0.36/0.60  (define @t158 () (@quantifiers_skolemize @t155 1))
% 0.36/0.60  (define @t159 () (@quantifiers_skolemize @t155 0))
% 0.36/0.60  (define @t160 () (tptp.multiplication @t159 @t158))
% 0.36/0.60  (define @t161 () (not (= @t146 @t160)))
% 0.36/0.60  (define @t162 () (_ @t48 @t158))
% 0.36/0.60  (define @t163 () (_ @t49 @t158))
% 0.36/0.60  (define @t164 () (not @t163))
% 0.36/0.60  (define @t165 () (_ @t48 @t159))
% 0.36/0.60  (define @t166 () (_ @t49 @t159))
% 0.36/0.60  (define @t167 () (not @t166))
% 0.36/0.60  (define @t168 () (or @t167 @t164 @t161))
% 0.36/0.60  (define @t169 () (not @t168))
% 0.36/0.60  (define @t170 () (not (= @t160 @t146)))
% 0.36/0.60  (define @t171 () (or @t167 @t164 @t170))
% 0.36/0.60  (define @t172 () (not @t171))
% 0.36/0.60  (define @t173 () (not @t151))
% 0.36/0.60  (define @t174 () (@list false false))
% 0.36/0.60  (define @t175 () (_ @t48 @t146))
% 0.36/0.60  (define @t176 () (_ @t49 @t146))
% 0.36/0.60  (define @t177 () (= @t176 @t151))
% 0.36/0.60  (define @t178 () (not @t177))
% 0.36/0.60  (define @t179 () (= @t49 @t141))
% 0.36/0.60  (define @t180 () (or @t179 @t178))
% 0.36/0.60  (define @t181 () (_ @t48 @t7))
% 0.36/0.60  (define @t182 () (not @t181))
% 0.36/0.60  (define @t183 () (or @t182 @t105 @t147))
% 0.36/0.60  (define @t184 () (forall @t40 @t183))
% 0.36/0.60  (define @t185 () (not @t184))
% 0.36/0.60  (define @t186 () (or @t182 @t105 @t46))
% 0.36/0.60  (define @t187 () (forall @t40 @t186))
% 0.36/0.60  (define @t188 () (not @t187))
% 0.36/0.60  (define @t189 () (lambda @t59 @t188))
% 0.36/0.60  (define @t190 () (_ @t189 @t146))
% 0.36/0.60  (define @t191 () (= @t175 @t190))
% 0.36/0.60  (define @t192 () (not @t191))
% 0.36/0.60  (define @t193 () (= @t48 @t189))
% 0.36/0.60  (define @t194 () (= @t141 @t61))
% 0.36/0.60  (define @t195 () (not @t194))
% 0.36/0.60  (define @t196 () (not @t179))
% 0.36/0.60  (define @t197 () (and @t179 @t135))
% 0.36/0.60  (define @t198 () (or @t182 @t105 @t67))
% 0.36/0.60  (define @t199 () (forall @t40 @t198))
% 0.36/0.60  (define @t200 () (not @t199))
% 0.36/0.60  (define @t201 () (_ @t189 @t66))
% 0.36/0.60  (define @t202 () (or @t55 @t105 @t67))
% 0.36/0.60  (define @t203 () (forall @t40 @t202))
% 0.36/0.60  (define @t204 () (not @t203))
% 0.36/0.60  (define @t205 () (_ @t109 @t66))
% 0.36/0.60  (define @t206 () (not (= @t201 @t205)))
% 0.36/0.60  (define @t207 () (= @t189 @t109))
% 0.36/0.60  (define @t208 () (_ @t141 @t66))
% 0.36/0.60  (define @t209 () (= @t208 @t71))
% 0.36/0.60  (define @t210 () (not @t209))
% 0.36/0.60  (define @t211 () (_ @t189 @t66))
% 0.36/0.60  (define @t212 () (_ @t141 @t66))
% 0.36/0.60  (define @t213 () (not @t212))
% 0.36/0.60  (define @t214 () (=> @t179 @t213))
% 0.36/0.60  (define @t215 () (not @t211))
% 0.36/0.60  (define @t216 () (@quantifiers_skolemize @t75 1))
% 0.36/0.60  (define @t217 () (@quantifiers_skolemize @t75 0))
% 0.36/0.60  (define @t218 () (tptp.multiplication @t217 @t216))
% 0.36/0.60  (define @t219 () (not (= @t66 @t218)))
% 0.36/0.60  (define @t220 () (not (_ @t54 @t217)))
% 0.36/0.60  (define @t221 () (_ @t48 @t216))
% 0.36/0.60  (define @t222 () (_ @t49 @t216))
% 0.36/0.60  (define @t223 () (not @t222))
% 0.36/0.60  (define @t224 () (or @t220 @t223 @t219))
% 0.36/0.60  (define @t225 () (not @t224))
% 0.36/0.60  (define @t226 () (not (= @t218 @t66)))
% 0.36/0.60  (define @t227 () (or @t220 @t223 @t226))
% 0.36/0.60  (define @t228 () (not @t227))
% 0.36/0.60  (assume @p1 @t1)
% 0.36/0.60  (assume @p2 (forall @t4 (= (_ tptp.sup @t3) @t2)))
% 0.36/0.60  (assume @p3 (forall (@list @t5) (= (_ tptp.sup (_ tptp.supset @t5)) (_ tptp.sup (_ tptp.unionset @t5)))))
% 0.36/0.60  (assume @p4 (forall (@list @t7 @t6) (= (_ (_ tptp.leq @t7) @t6) (= (_ (_ tptp.addition @t7) @t6) @t6))))
% 0.36/0.60  (assume @p5 @t16)
% 0.36/0.60  (assume @p6 (forall @t4 (= (_ (_ tptp.multiplication @t2) tptp.one) @t2)))
% 0.36/0.60  (assume @p7 (forall @t4 (= (_ (_ tptp.multiplication tptp.one) @t2) @t2)))
% 0.36/0.60  (assume @p8 @t20)
% 0.36/0.60  (assume @p9 true)
% 0.36/0.60  (step @p10 (= tptp.emptyset @t21) :rule refl :args (@t21))
% 0.36/0.60  (step @p11 (= tptp.union @t23) :rule refl :args (@t23))
% 0.36/0.60  (step @p12 (= tptp.singleton @t24) :rule refl :args (@t24))
% 0.36/0.60  (step @p13 (= tptp.supset @t29) :rule refl :args (@t29))
% 0.36/0.60  (step @p14 (= tptp.unionset @t30) :rule refl :args (@t30))
% 0.36/0.60  (step @p15 (= tptp.addition @t32) :rule refl :args (@t32))
% 0.36/0.60  (step @p16 (= tptp.crossmult @t43) :rule refl :args (@t43))
% 0.36/0.60  (step @p17 :rule eq-symm :args (@t62 @t58))
% 0.36/0.60  (step @p18 :rule beta-reduce :args ((= @t63 @t58)))
% 0.36/0.60  (step @p19 :rule refl :args (@t62))
% 0.36/0.60  (step @p20 :rule cong :premises (@p19 @p18) :args (@t64))
% 0.36/0.60  (step @p21 :rule trans :premises (@p20 @p17))
% 0.36/0.60  (step @p22 :rule cong :premises (@p21) :args (@t65))
% 0.36/0.60  (step @p23 :rule quant-unused-vars :args ((= (forall @t59 true) true)))
% 0.36/0.60  (step @p24 :rule eq-refl :args (@t63))
% 0.36/0.60  (step @p25 :rule cong :premises (@p24) :args ((forall @t59 (= @t63 @t63))))
% 0.36/0.60  (step @p26 :rule trans :premises (@p25 @p23))
% 0.36/0.60  (step @p27 :rule refl :args (@t63))
% 0.36/0.60  (step @p28 :rule refl :args (@t35))
% 0.36/0.60  (step @p29 :rule skolem_intro :args (@t61))
% 0.36/0.60  (step @p30 :rule ho_cong :premises (@p29 @p28))
% 0.36/0.60  (step @p31 :rule cong :premises (@p30 @p27) :args (@t64))
% 0.36/0.60  (step @p32 :rule cong :premises (@p31) :args (@t65))
% 0.36/0.60  (step @p33 :rule trans :premises (@p32 @p26))
% 0.36/0.60  (step @p34 :rule true_elim :premises (@p33))
% 0.36/0.60  (step @p35 :rule eq_resolve :premises (@p34 @p22))
% 0.36/0.60  (step @p36 :rule eq-symm :args (@t66 @t44))
% 0.36/0.60  (step @p37 :rule cong :premises (@p36) :args (@t67))
% 0.36/0.60  (step @p38 :rule refl :args (@t50))
% 0.36/0.60  (step @p39 :rule refl :args (@t55))
% 0.36/0.60  (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t68))
% 0.36/0.60  (step @p41 :rule cong :premises (@p40) :args (@t69))
% 0.36/0.60  (step @p42 :rule cong :premises (@p41) :args (@t70))
% 0.36/0.60  (step @p43 :rule refl :args (@t71))
% 0.36/0.60  (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t71 @t70)))
% 0.36/0.60  (step @p45 :rule eq-symm :args (@t70 @t71))
% 0.36/0.60  (step @p46 :rule trans :premises (@p45 @p44))
% 0.36/0.60  (step @p47 :rule refl :args (@t72))
% 0.36/0.60  (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t72 @t73)))
% 0.36/0.60  (assume-push @p582 @t72)
% 0.36/0.60  (step @p50 :rule instantiate :premises (@p35) :args ((@list @t66)))
% 0.36/0.60  (step-pop @p583 :rule scope :premises (@p50))
% 0.36/0.60  (step @p51 :rule process_scope :premises (@p583) :args (@t73))
% 0.36/0.60  (step @p53 :rule eq_resolve :premises (@p51 @p48))
% 0.36/0.60  (step @p54 :rule implies_elim :premises (@p53))
% 0.36/0.60  (step @p55 :rule chain_m_resolution :premises (@p54 @p35) :args (@t77 @t78 (@list @t72)))
% 0.36/0.60  (step @p56 :rule refl :args ((tptp.sup @t84)))
% 0.36/0.60  (step @p57 :rule refl :args (@t44))
% 0.36/0.60  (step @p58 :rule refl :args (@t35))
% 0.36/0.60  (step @p59 :rule cong :premises (@p58 @p57) :args (@t45))
% 0.36/0.60  (step @p60 :rule cong :premises (@p59) :args (@t46))
% 0.36/0.60  (step @p61 :rule refl :args (@t85))
% 0.36/0.60  (step @p62 :rule cong :premises (@p61) :args (@t86))
% 0.36/0.60  (step @p63 :rule refl :args (@t87))
% 0.36/0.60  (step @p64 :rule cong :premises (@p63) :args (@t88))
% 0.36/0.60  (step @p65 :rule nary_cong :premises (@p64 @p62 @p60) :args (@t89))
% 0.36/0.60  (step @p66 :rule cong :premises (@p65) :args (@t90))
% 0.36/0.60  (step @p67 :rule cong :premises (@p66) :args (@t91))
% 0.36/0.60  (step @p68 :rule cong :premises (@p67) :args (@t92))
% 0.36/0.60  (step @p69 :rule cong :premises (@p68) :args (@t93))
% 0.36/0.60  (step @p70 :rule trans :premises (@p69 @p56))
% 0.36/0.60  (step @p71 :rule refl :args (tptp.sup))
% 0.36/0.60  (step @p72 :rule ho_cong :premises (@p71 @p68))
% 0.36/0.60  (step @p73 :rule cong :premises (@p72 @p70) :args ((= @t94 @t93)))
% 0.36/0.60  (step @p74 :rule symm :premises (@p73))
% 0.36/0.60  (step @p75 :rule refl :args ((_ tptp.sup @t84)))
% 0.36/0.60  (step @p76 :rule eq_resolve :premises (@p75 @p74))
% 0.36/0.60  (step @p77 :rule refl :args ((tptp.multiplication @t11 @t10)))
% 0.36/0.60  (step @p78 :rule refl :args (@t95))
% 0.36/0.60  (step @p79 :rule refl :args (@t52))
% 0.36/0.60  (step @p80 :rule cong :premises (@p79 @p78) :args (@t96))
% 0.36/0.60  (step @p81 :rule trans :premises (@p80 @p77))
% 0.36/0.60  (step @p82 :rule refl :args (tptp.multiplication))
% 0.36/0.60  (step @p83 :rule ho_cong :premises (@p82 @p79))
% 0.36/0.60  (step @p84 :rule ho_cong :premises (@p83 @p78))
% 0.36/0.60  (step @p85 :rule cong :premises (@p84 @p81) :args ((= (_ @t97 @t95) @t96)))
% 0.36/0.60  (step @p86 :rule symm :premises (@p85))
% 0.36/0.60  (step @p87 :rule refl :args (@t13))
% 0.36/0.60  (step @p88 :rule eq_resolve :premises (@p87 @p86))
% 0.36/0.60  (step @p89 :rule refl :args (@t10))
% 0.36/0.60  (step @p90 :rule cong :premises (@p89 @p78) :args ((= @t10 @t95)))
% 0.36/0.60  (step @p91 :rule symm :premises (@p90))
% 0.36/0.60  (step @p92 :rule eq_resolve :premises (@p89 @p91))
% 0.36/0.60  (step @p93 :rule refl :args (@t11))
% 0.36/0.60  (step @p94 :rule cong :premises (@p93 @p79) :args ((= @t11 @t52)))
% 0.36/0.60  (step @p95 :rule symm :premises (@p94))
% 0.36/0.60  (step @p96 :rule eq_resolve :premises (@p93 @p95))
% 0.36/0.60  (step @p97 :rule ho_cong :premises (@p82 @p96))
% 0.36/0.60  (step @p98 :rule ho_cong :premises (@p97 @p92))
% 0.36/0.60  (step @p99 :rule trans :premises (@p98 @p88))
% 0.36/0.60  (step @p100 :rule cong :premises (@p99 @p76) :args (@t98))
% 0.36/0.60  (step @p101 :rule cong :premises (@p100) :args ((forall @t15 @t98)))
% 0.36/0.60  (step @p102 :rule beta-reduce :args ((= (_ @t99 @t8) @t92)))
% 0.36/0.60  (step @p103 :rule refl :args (@t8))
% 0.36/0.60  (step @p104 :rule beta-reduce :args ((= @t100 @t99)))
% 0.36/0.60  (step @p105 :rule ho_cong :premises (@p104 @p103))
% 0.36/0.60  (step @p106 :rule trans :premises (@p105 @p102))
% 0.36/0.60  (step @p107 :rule refl :args (tptp.sup))
% 0.36/0.60  (step @p108 :rule ho_cong :premises (@p107 @p106))
% 0.36/0.60  (step @p109 :rule refl :args (@t13))
% 0.36/0.60  (step @p110 :rule cong :premises (@p109 @p108) :args (@t101))
% 0.36/0.60  (step @p111 :rule cong :premises (@p110) :args ((forall @t15 @t101)))
% 0.36/0.60  (step @p112 :rule trans :premises (@p111 @p101))
% 0.36/0.60  (step @p113 :rule refl :args (@t9))
% 0.36/0.60  (step @p114 :rule refl :args (@t34))
% 0.36/0.60  (step @p115 :rule cong :premises (@p114 @p57) :args ((= @t34 @t44)))
% 0.36/0.60  (step @p116 :rule symm :premises (@p115))
% 0.36/0.60  (step @p117 :rule eq_resolve :premises (@p114 @p116))
% 0.36/0.60  (step @p118 :rule cong :premises (@p58 @p117) :args (@t36))
% 0.36/0.60  (step @p119 :rule cong :premises (@p118) :args (@t79))
% 0.36/0.60  (step @p120 :rule refl :args (@t37))
% 0.36/0.60  (step @p121 :rule cong :premises (@p120 @p61) :args ((= @t37 @t85)))
% 0.36/0.60  (step @p122 :rule symm :premises (@p121))
% 0.36/0.60  (step @p123 :rule eq_resolve :premises (@p120 @p122))
% 0.36/0.60  (step @p124 :rule cong :premises (@p123) :args (@t80))
% 0.36/0.60  (step @p125 :rule refl :args (@t38))
% 0.36/0.60  (step @p126 :rule cong :premises (@p125 @p63) :args ((= @t38 @t87)))
% 0.36/0.60  (step @p127 :rule symm :premises (@p126))
% 0.36/0.60  (step @p128 :rule eq_resolve :premises (@p125 @p127))
% 0.36/0.60  (step @p129 :rule cong :premises (@p128) :args (@t81))
% 0.36/0.60  (step @p130 :rule nary_cong :premises (@p129 @p124 @p119) :args (@t82))
% 0.36/0.60  (step @p131 :rule cong :premises (@p130) :args (@t83))
% 0.36/0.60  (step @p132 :rule aci_norm :args ((= (or @t81 (or @t80 @t79)) @t82)))
% 0.36/0.60  (step @p133 :rule bool-and-de-morgan :args (@t37 @t36 true))
% 0.36/0.60  (step @p134 :rule refl :args (@t81))
% 0.36/0.60  (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t81 (not (and @t37 @t36)))))
% 0.36/0.60  (step @p136 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36)))
% 0.36/0.60  (step @p137 :rule trans :premises (@p136 @p135))
% 0.36/0.60  (step @p138 :rule trans :premises (@p137 @p132))
% 0.36/0.60  (step @p139 :rule cong :premises (@p138) :args (@t102))
% 0.36/0.60  (step @p140 :rule trans :premises (@p139 @p131))
% 0.36/0.60  (step @p141 :rule cong :premises (@p140) :args (@t103))
% 0.36/0.60  (step @p142 :rule exists-elim :args ((= @t41 @t103)))
% 0.36/0.60  (step @p143 :rule trans :premises (@p142 @p141))
% 0.36/0.60  (step @p144 :rule cong :premises (@p143) :args (@t43))
% 0.36/0.60  (step @p145 :rule trans :premises (@p16 @p144))
% 0.36/0.60  (step @p146 :rule ho_cong :premises (@p145 @p113))
% 0.36/0.60  (step @p147 :rule ho_cong :premises (@p146 @p103))
% 0.36/0.60  (step @p148 :rule ho_cong :premises (@p107 @p147))
% 0.36/0.60  (step @p149 :rule cong :premises (@p109 @p148) :args (@t14))
% 0.36/0.60  (step @p150 :rule cong :premises (@p149) :args (@t16))
% 0.36/0.60  (step @p151 :rule trans :premises (@p150 @p112))
% 0.36/0.60  (step @p152 :rule eq_resolve :premises (@p5 @p151))
% 0.36/0.60  (step @p153 :rule eq-refl :args (@t109))
% 0.36/0.60  (step @p154 :rule refl :args (@t46))
% 0.36/0.60  (step @p155 :rule refl :args (@t33))
% 0.36/0.60  (step @p156 :rule skolem_intro :args (@t49))
% 0.36/0.60  (step @p157 :rule ho_cong :premises (@p156 @p155))
% 0.36/0.60  (step @p158 :rule cong :premises (@p157) :args (@t50))
% 0.36/0.60  (step @p159 :rule nary_cong :premises (@p39 @p158 @p154) :args (@t56))
% 0.36/0.60  (step @p160 :rule cong :premises (@p159) :args (@t57))
% 0.36/0.60  (step @p161 :rule cong :premises (@p160) :args (@t58))
% 0.36/0.60  (step @p162 :rule cong :premises (@p161) :args (@t60))
% 0.36/0.60  (step @p163 :rule trans :premises (@p29 @p162))
% 0.36/0.60  (step @p164 :rule cong :premises (@p162 @p163) :args ((= @t60 @t61)))
% 0.36/0.60  (step @p165 :rule trans :premises (@p164 @p153))
% 0.36/0.60  (step @p166 :rule true_elim :premises (@p165))
% 0.36/0.60  (step @p167 :rule cong :premises (@p166) :args (@t110))
% 0.36/0.60  (step @p168 :rule refl :args (@t113))
% 0.36/0.60  (step @p169 :rule cong :premises (@p168 @p167) :args (@t114))
% 0.36/0.60  (step @p170 :rule refl :args (@t115))
% 0.36/0.60  (step @p171 :rule cong :premises (@p170 @p169) :args ((=> @t115 @t114)))
% 0.36/0.60  (assume-push @p584 @t115)
% 0.36/0.60  (step @p173 :rule instantiate :premises (@p152) :args ((@list @t54 @t49)))
% 0.36/0.60  (step-pop @p585 :rule scope :premises (@p173))
% 0.36/0.60  (step @p174 :rule process_scope :premises (@p585) :args (@t114))
% 0.36/0.60  (step @p176 :rule eq_resolve :premises (@p174 @p171))
% 0.36/0.60  (step @p177 :rule implies_elim :premises (@p176))
% 0.36/0.60  (step @p178 :rule chain_m_resolution :premises (@p177 @p152) :args (@t116 @t78 (@list @t115)))
% 0.36/0.60  (step @p179 :rule refl :args (@t51))
% 0.36/0.60  (step @p180 :rule refl :args (@t48))
% 0.36/0.60  (step @p181 :rule cong :premises (@p180) :args (@t51))
% 0.36/0.60  (step @p182 :rule trans :premises (@p181 @p179))
% 0.36/0.60  (step @p183 :rule ho_cong :premises (@p71 @p180))
% 0.36/0.60  (step @p184 :rule cong :premises (@p183 @p182) :args ((= @t117 @t51)))
% 0.36/0.60  (step @p185 :rule symm :premises (@p184))
% 0.36/0.60  (step @p186 :rule refl :args ((_ tptp.sup @t48)))
% 0.36/0.60  (step @p187 :rule eq_resolve :premises (@p186 @p185))
% 0.36/0.60  (step @p188 :rule refl :args (@t52))
% 0.36/0.60  (step @p189 :rule cong :premises (@p188 @p187) :args (@t118))
% 0.36/0.60  (step @p190 :rule cong :premises (@p187 @p189) :args (@t119))
% 0.36/0.60  (step @p191 :rule cong :premises (@p190) :args (@t120))
% 0.36/0.60  (step @p192 :rule cong :premises (@p191) :args ((not @t120)))
% 0.36/0.60  (step @p193 :rule eq-symm :args (@t117 tptp.zero))
% 0.36/0.60  (step @p194 :rule refl :args (tptp.zero))
% 0.36/0.60  (step @p195 :rule symm :premises (@p180))
% 0.36/0.60  (step @p196 :rule alpha_equiv :args (@t21 (@list @t2) @t121))
% 0.36/0.60  (step @p197 :rule trans :premises (@p196 @p195))
% 0.36/0.60  (step @p198 :rule ho_cong :premises (@p107 @p197))
% 0.36/0.60  (step @p199 :rule cong :premises (@p198 @p194) :args ((= (_ tptp.sup @t21) tptp.zero)))
% 0.36/0.60  (step @p200 :rule trans :premises (@p199 @p193))
% 0.36/0.60  (step @p201 :rule ho_cong :premises (@p107 @p10))
% 0.36/0.60  (step @p202 :rule cong :premises (@p201 @p194) :args (@t1))
% 0.36/0.60  (step @p203 :rule trans :premises (@p202 @p200))
% 0.36/0.60  (step @p204 :rule eq_resolve :premises (@p1 @p203))
% 0.36/0.60  (step @p205 :rule refl :args (@t52))
% 0.36/0.60  (step @p206 :rule cong :premises (@p205 @p204) :args (@t122))
% 0.36/0.60  (step @p207 :rule cong :premises (@p204 @p206) :args (@t123))
% 0.36/0.60  (step @p208 :rule cong :premises (@p207) :args (@t124))
% 0.36/0.60  (step @p209 :rule cong :premises (@p208) :args ((not @t124)))
% 0.36/0.60  (step @p210 :rule trans :premises (@p209 @p192))
% 0.36/0.60  (step @p211 :rule refl :args ((tptp.multiplication @t11 tptp.zero)))
% 0.36/0.60  (step @p212 :rule refl :args (tptp.zero))
% 0.36/0.60  (step @p213 :rule cong :premises (@p79 @p212) :args (@t122))
% 0.36/0.60  (step @p214 :rule trans :premises (@p213 @p211))
% 0.36/0.60  (step @p215 :rule ho_cong :premises (@p83 @p212))
% 0.36/0.60  (step @p216 :rule cong :premises (@p215 @p214) :args ((= (_ @t97 tptp.zero) @t122)))
% 0.36/0.60  (step @p217 :rule symm :premises (@p216))
% 0.36/0.60  (step @p218 :rule refl :args (@t17))
% 0.36/0.60  (step @p219 :rule eq_resolve :premises (@p218 @p217))
% 0.36/0.60  (step @p220 :rule ho_cong :premises (@p97 @p212))
% 0.36/0.60  (step @p221 :rule trans :premises (@p220 @p219))
% 0.36/0.60  (step @p222 :rule cong :premises (@p212 @p221) :args (@t125))
% 0.36/0.60  (step @p223 :rule cong :premises (@p222) :args ((forall @t18 @t125)))
% 0.36/0.60  (step @p224 :rule eq-symm :args (@t17 tptp.zero))
% 0.36/0.60  (step @p225 :rule cong :premises (@p224) :args (@t19))
% 0.36/0.60  (step @p226 :rule trans :premises (@p225 @p223))
% 0.36/0.60  (step @p227 :rule cong :premises (@p226) :args (@t20))
% 0.36/0.60  (step @p228 :rule trans :premises (@p227 @p210))
% 0.36/0.60  (step @p229 :rule eq_resolve :premises (@p8 @p228))
% 0.36/0.60  (step @p230 :rule refl :args (@t127))
% 0.36/0.60  (step @p231 :rule bool-double-not-elim :args (@t53))
% 0.36/0.60  (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or (not @t128) @t127)))
% 0.36/0.60  (step @p233 :rule eq-refl :args (@t48))
% 0.36/0.60  (step @p234 :rule symm :premises (@p180))
% 0.36/0.60  (step @p235 :rule refl :args (@t48))
% 0.36/0.60  (step @p236 :rule cong :premises (@p235 @p234) :args ((= @t48 @t48)))
% 0.36/0.60  (step @p237 :rule trans :premises (@p236 @p233))
% 0.36/0.60  (step @p238 :rule cong :premises (@p235 @p156) :args ((= @t48 @t49)))
% 0.36/0.60  (step @p239 :rule trans :premises (@p238 @p237))
% 0.36/0.60  (step @p240 :rule true_elim :premises (@p239))
% 0.36/0.60  (step @p241 :rule cong :premises (@p240) :args (@t51))
% 0.36/0.60  (step @p242 :rule refl :args (@t112))
% 0.36/0.60  (step @p243 :rule cong :premises (@p242 @p241) :args (@t129))
% 0.36/0.60  (step @p244 :rule cong :premises (@p241 @p243) :args (@t130))
% 0.36/0.60  (step @p245 :rule cong :premises (@p244) :args (@t131))
% 0.36/0.60  (step @p246 :rule refl :args (@t128))
% 0.36/0.60  (step @p247 :rule cong :premises (@p246 @p245) :args ((=> @t128 @t131)))
% 0.36/0.60  (assume-push @p586 @t128)
% 0.36/0.60  (step @p249 :rule skolemize :premises (@p229))
% 0.36/0.60  (step-pop @p587 :rule scope :premises (@p249))
% 0.36/0.60  (step @p250 :rule process_scope :premises (@p587) :args (@t131))
% 0.36/0.60  (step @p252 :rule eq_resolve :premises (@p250 @p247))
% 0.36/0.60  (step @p253 :rule implies_elim :premises (@p252))
% 0.36/0.60  (step @p254 :rule eq_resolve :premises (@p253 @p232))
% 0.36/0.60  (step @p255 :rule chain_m_resolution :premises (@p254 @p229) :args (@t127 @t132 (@list @t53)))
% 0.36/0.60  (assume-push @p588 @t116)
% 0.36/0.60  (assume-push @p589 @t133)
% 0.36/0.60  (assume-push @p590 @t116)
% 0.36/0.60  (assume-push @p591 @t133)
% 0.36/0.60  (step @p260 :rule symm :premises (@p178))
% 0.36/0.60  (step @p261 :rule cong :premises (@p589) :args (@t111))
% 0.36/0.60  (step @p262 :rule trans :premises (@p261 @p260))
% 0.36/0.60  (step-pop @p592 :rule scope :premises (@p262))
% 0.36/0.60  (step-pop @p593 :rule scope :premises (@p592))
% 0.36/0.60  (step @p263 :rule process_scope :premises (@p593) :args (@t126))
% 0.36/0.60  (step @p266 :rule and_intro :premises (@p178 @p589))
% 0.36/0.60  (step @p267 :rule modus_ponens :premises (@p266 @p263))
% 0.36/0.60  (step-pop @p594 :rule scope :premises (@p267))
% 0.36/0.60  (step-pop @p595 :rule scope :premises (@p594))
% 0.36/0.60  (step @p268 :rule process_scope :premises (@p595) :args (@t126))
% 0.36/0.60  (step @p271 :rule implies_elim :premises (@p268))
% 0.36/0.60  (step @p272 :rule cnf_and_neg :args (@t134))
% 0.36/0.60  (step @p273 :rule resolution :premises (@p272 @p271) :args (true @t134))
% 0.36/0.60  (step @p274 :rule reordering :premises (@p273) :args ((or @t126 (not @t116) @t135)))
% 0.36/0.60  (step @p275 :rule chain_m_resolution :premises (@p274 @p255 @p178) :args (@t135 (@list true false) (@list @t126 @t116)))
% 0.36/0.60  (step @p276 :rule eq-symm :args (@t142 @t139))
% 0.36/0.60  (step @p277 :rule beta-reduce :args ((= @t143 @t139)))
% 0.36/0.60  (step @p278 :rule refl :args (@t142))
% 0.36/0.60  (step @p279 :rule cong :premises (@p278 @p277) :args (@t144))
% 0.36/0.60  (step @p280 :rule trans :premises (@p279 @p276))
% 0.36/0.60  (step @p281 :rule cong :premises (@p280) :args (@t145))
% 0.36/0.60  (step @p282 :rule eq-refl :args (@t143))
% 0.36/0.60  (step @p283 :rule cong :premises (@p282) :args ((forall @t59 (= @t143 @t143))))
% 0.36/0.60  (step @p284 :rule trans :premises (@p283 @p23))
% 0.36/0.60  (step @p285 :rule refl :args (@t143))
% 0.36/0.60  (step @p286 :rule skolem_intro :args (@t141))
% 0.36/0.60  (step @p287 :rule ho_cong :premises (@p286 @p28))
% 0.36/0.60  (step @p288 :rule cong :premises (@p287 @p285) :args (@t144))
% 0.36/0.60  (step @p289 :rule cong :premises (@p288) :args (@t145))
% 0.36/0.60  (step @p290 :rule trans :premises (@p289 @p284))
% 0.36/0.60  (step @p291 :rule true_elim :premises (@p290))
% 0.36/0.60  (step @p292 :rule eq_resolve :premises (@p291 @p281))
% 0.36/0.60  (step @p293 :rule eq-symm :args (@t146 @t44))
% 0.36/0.60  (step @p294 :rule cong :premises (@p293) :args (@t147))
% 0.36/0.60  (step @p295 :rule refl :args (@t136))
% 0.36/0.60  (step @p296 :rule nary_cong :premises (@p295 @p38 @p294) :args (@t148))
% 0.36/0.60  (step @p297 :rule cong :premises (@p296) :args (@t149))
% 0.36/0.60  (step @p298 :rule cong :premises (@p297) :args (@t150))
% 0.36/0.60  (step @p299 :rule refl :args (@t151))
% 0.36/0.60  (step @p300 :rule cong :premises (@p299 @p298) :args ((= @t151 @t150)))
% 0.36/0.60  (step @p301 :rule eq-symm :args (@t150 @t151))
% 0.36/0.60  (step @p302 :rule trans :premises (@p301 @p300))
% 0.36/0.60  (step @p303 :rule refl :args (@t152))
% 0.36/0.60  (step @p304 :rule cong :premises (@p303 @p302) :args ((=> @t152 @t153)))
% 0.36/0.60  (assume-push @p596 @t152)
% 0.36/0.60  (step @p306 :rule instantiate :premises (@p292) :args ((@list @t146)))
% 0.36/0.60  (step-pop @p597 :rule scope :premises (@p306))
% 0.36/0.60  (step @p307 :rule process_scope :premises (@p597) :args (@t153))
% 0.36/0.60  (step @p309 :rule eq_resolve :premises (@p307 @p304))
% 0.36/0.60  (step @p310 :rule implies_elim :premises (@p309))
% 0.36/0.60  (step @p311 :rule chain_m_resolution :premises (@p310 @p292) :args (@t157 @t78 (@list @t152)))
% 0.36/0.60  (step @p312 :rule bool-double-not-elim :args (@t155))
% 0.36/0.60  (step @p313 :rule bool-impl-false1 :args (@t156))
% 0.36/0.60  (step @p314 :rule trans :premises (@p313 @p312))
% 0.36/0.60  (step @p315 :rule evaluate :args ((not true)))
% 0.36/0.60  (step @p316 :rule absorb :args ((= (or true true @t161) true)))
% 0.36/0.60  (step @p317 :rule refl :args (@t161))
% 0.36/0.60  (step @p318 :rule evaluate :args ((not false)))
% 0.36/0.60  (step @p319 :rule beta-reduce :args ((= @t162 false)))
% 0.36/0.60  (step @p320 :rule cong :premises (@p319) :args ((not @t162)))
% 0.36/0.60  (step @p321 :rule trans :premises (@p320 @p318))
% 0.36/0.60  (step @p322 :rule refl :args (@t158))
% 0.36/0.60  (step @p323 :rule ho_cong :premises (@p156 @p322))
% 0.36/0.60  (step @p324 :rule cong :premises (@p323) :args (@t164))
% 0.36/0.60  (step @p325 :rule bool-eq-false :args (@t163))
% 0.36/0.60  (step @p326 :rule trans :premises (@p325 @p324 @p321))
% 0.36/0.60  (step @p327 :rule true_elim :premises (@p326))
% 0.36/0.60  (step @p328 :rule cong :premises (@p327) :args (@t164))
% 0.36/0.60  (step @p329 :rule trans :premises (@p328 @p318))
% 0.36/0.60  (step @p330 :rule beta-reduce :args ((= @t165 false)))
% 0.36/0.60  (step @p331 :rule cong :premises (@p330) :args ((not @t165)))
% 0.36/0.60  (step @p332 :rule trans :premises (@p331 @p318))
% 0.36/0.60  (step @p333 :rule refl :args (@t159))
% 0.36/0.60  (step @p334 :rule ho_cong :premises (@p156 @p333))
% 0.36/0.60  (step @p335 :rule cong :premises (@p334) :args (@t167))
% 0.36/0.60  (step @p336 :rule bool-eq-false :args (@t166))
% 0.36/0.60  (step @p337 :rule trans :premises (@p336 @p335 @p332))
% 0.36/0.60  (step @p338 :rule true_elim :premises (@p337))
% 0.36/0.60  (step @p339 :rule cong :premises (@p338) :args (@t167))
% 0.36/0.60  (step @p340 :rule trans :premises (@p339 @p318))
% 0.36/0.60  (step @p341 :rule nary_cong :premises (@p340 @p329 @p317) :args (@t168))
% 0.36/0.60  (step @p342 :rule trans :premises (@p341 @p316))
% 0.36/0.60  (step @p343 :rule cong :premises (@p342) :args (@t169))
% 0.36/0.60  (step @p344 :rule trans :premises (@p343 @p315))
% 0.36/0.60  (step @p345 :rule refl :args (@t156))
% 0.36/0.60  (step @p346 :rule cong :premises (@p345 @p344) :args ((=> @t156 @t169)))
% 0.36/0.60  (step @p347 :rule trans :premises (@p346 @p314))
% 0.36/0.60  (step @p348 :rule eq-symm :args (@t160 @t146))
% 0.36/0.60  (step @p349 :rule cong :premises (@p348) :args (@t170))
% 0.36/0.60  (step @p350 :rule refl :args (@t164))
% 0.36/0.60  (step @p351 :rule refl :args (@t167))
% 0.36/0.60  (step @p352 :rule nary_cong :premises (@p351 @p350 @p349) :args (@t171))
% 0.36/0.60  (step @p353 :rule cong :premises (@p352) :args (@t172))
% 0.36/0.60  (step @p354 :rule cong :premises (@p345 @p353) :args ((=> @t156 @t172)))
% 0.36/0.60  (step @p355 :rule trans :premises (@p354 @p347))
% 0.36/0.60  (assume-push @p598 @t156)
% 0.36/0.60  (step @p357 :rule skolemize :premises (@p598))
% 0.36/0.60  (step-pop @p599 :rule scope :premises (@p357))
% 0.36/0.60  (step @p358 :rule process_scope :premises (@p599) :args (@t172))
% 0.36/0.60  (step @p360 :rule eq_resolve :premises (@p358 @p355))
% 0.36/0.60  (step @p361 :rule cnf_equiv_pos1 :args (@t157))
% 0.36/0.60  (step @p362 :rule reordering :premises (@p361) :args ((or @t173 @t156 (not @t157))))
% 0.36/0.60  (step @p363 :rule chain_m_resolution :premises (@p362 @p360 @p311) :args (@t173 @t174 (@list @t155 @t157)))
% 0.36/0.60  (step @p364 :rule bool-double-not-elim :args (@t151))
% 0.36/0.60  (step @p365 :rule bool-eq-false :args (@t151))
% 0.36/0.60  (step @p366 :rule eq-symm :args (false @t151))
% 0.36/0.60  (step @p367 :rule trans :premises (@p366 @p365))
% 0.36/0.60  (step @p368 :rule beta-reduce :args ((= @t175 false)))
% 0.36/0.60  (step @p369 :rule cong :premises (@p368) :args ((not @t175)))
% 0.36/0.60  (step @p370 :rule trans :premises (@p369 @p318))
% 0.36/0.60  (step @p371 :rule refl :args (@t146))
% 0.36/0.60  (step @p372 :rule ho_cong :premises (@p156 @p371))
% 0.36/0.60  (step @p373 :rule cong :premises (@p372) :args ((not @t176)))
% 0.36/0.60  (step @p374 :rule bool-eq-false :args (@t176))
% 0.36/0.60  (step @p375 :rule trans :premises (@p374 @p373 @p370))
% 0.36/0.60  (step @p376 :rule true_elim :premises (@p375))
% 0.36/0.60  (step @p377 :rule cong :premises (@p376 @p299) :args (@t177))
% 0.36/0.60  (step @p378 :rule trans :premises (@p377 @p367))
% 0.36/0.60  (step @p379 :rule cong :premises (@p378) :args (@t178))
% 0.36/0.60  (step @p380 :rule trans :premises (@p379 @p364))
% 0.36/0.60  (step @p381 :rule refl :args (@t179))
% 0.36/0.60  (step @p382 :rule nary_cong :premises (@p381 @p380) :args (@t180))
% 0.36/0.60  (step @p383 :rule evaluate :args ((or true false)))
% 0.36/0.60  (step @p384 :rule evaluate :args ((= false false)))
% 0.36/0.60  (step @p385 :rule quant-unused-vars :args ((= (forall @t40 true) true)))
% 0.36/0.60  (step @p386 :rule absorb :args ((= (or true true @t154) true)))
% 0.36/0.60  (step @p387 :rule beta-reduce :args ((= @t104 false)))
% 0.36/0.60  (step @p388 :rule cong :premises (@p387) :args (@t105))
% 0.36/0.60  (step @p389 :rule trans :premises (@p388 @p318))
% 0.36/0.60  (step @p390 :rule beta-reduce :args ((= @t181 false)))
% 0.36/0.60  (step @p391 :rule cong :premises (@p390) :args (@t182))
% 0.36/0.60  (step @p392 :rule trans :premises (@p391 @p318))
% 0.36/0.60  (step @p393 :rule nary_cong :premises (@p392 @p389 @p294) :args (@t183))
% 0.36/0.60  (step @p394 :rule trans :premises (@p393 @p386))
% 0.36/0.60  (step @p395 :rule cong :premises (@p394) :args (@t184))
% 0.36/0.60  (step @p396 :rule trans :premises (@p395 @p385))
% 0.36/0.60  (step @p397 :rule cong :premises (@p396) :args (@t185))
% 0.36/0.60  (step @p398 :rule trans :premises (@p397 @p315))
% 0.36/0.60  (step @p399 :rule beta-reduce :args ((= @t190 @t185)))
% 0.36/0.60  (step @p400 :rule trans :premises (@p399 @p398))
% 0.36/0.60  (step @p401 :rule cong :premises (@p368 @p400) :args (@t191))
% 0.36/0.60  (step @p402 :rule trans :premises (@p401 @p384))
% 0.36/0.60  (step @p403 :rule cong :premises (@p402) :args (@t192))
% 0.36/0.60  (step @p404 :rule trans :premises (@p403 @p315))
% 0.36/0.60  (step @p405 :rule alpha_equiv :args ((lambda @t59 false) (@list @t35) @t121))
% 0.36/0.60  (step @p406 :rule trans :premises (@p405 @p195))
% 0.36/0.60  (step @p407 :rule absorb :args ((= (or true true @t46) true)))
% 0.36/0.60  (step @p408 :rule nary_cong :premises (@p392 @p389 @p154) :args (@t186))
% 0.36/0.60  (step @p409 :rule trans :premises (@p408 @p407))
% 0.36/0.60  (step @p410 :rule cong :premises (@p409) :args (@t187))
% 0.36/0.60  (step @p411 :rule trans :premises (@p410 @p385))
% 0.36/0.60  (step @p412 :rule cong :premises (@p411) :args (@t188))
% 0.36/0.60  (step @p413 :rule trans :premises (@p412 @p315))
% 0.36/0.60  (step @p414 :rule cong :premises (@p413) :args (@t189))
% 0.36/0.60  (step @p415 :rule trans :premises (@p414 @p406))
% 0.36/0.60  (step @p416 :rule cong :premises (@p234 @p415) :args (@t193))
% 0.36/0.60  (step @p417 :rule trans :premises (@p416 @p233))
% 0.36/0.60  (step @p418 :rule nary_cong :premises (@p417 @p404) :args ((or @t193 @t192)))
% 0.36/0.60  (step @p419 :rule trans :premises (@p418 @p383))
% 0.36/0.60  (step @p420 :rule refl :args (@t7))
% 0.36/0.60  (step @p421 :rule ho_cong :premises (@p156 @p420))
% 0.36/0.60  (step @p422 :rule cong :premises (@p421) :args (@t136))
% 0.36/0.60  (step @p423 :rule nary_cong :premises (@p422 @p158 @p154) :args (@t137))
% 0.36/0.60  (step @p424 :rule cong :premises (@p423) :args (@t138))
% 0.36/0.60  (step @p425 :rule cong :premises (@p424) :args (@t139))
% 0.36/0.60  (step @p426 :rule cong :premises (@p425) :args (@t140))
% 0.36/0.60  (step @p427 :rule trans :premises (@p286 @p426))
% 0.36/0.60  (step @p428 :rule ho_cong :premises (@p427 @p371))
% 0.36/0.60  (step @p429 :rule cong :premises (@p372 @p428) :args (@t177))
% 0.36/0.60  (step @p430 :rule cong :premises (@p429) :args (@t178))
% 0.36/0.60  (step @p431 :rule cong :premises (@p156 @p427) :args (@t179))
% 0.36/0.60  (step @p432 :rule nary_cong :premises (@p431 @p430) :args (@t180))
% 0.36/0.60  (step @p433 :rule trans :premises (@p432 @p419))
% 0.36/0.60  (step @p434 :rule true_elim :premises (@p433))
% 0.36/0.60  (step @p435 :rule eq_resolve :premises (@p434 @p382))
% 0.36/0.60  (step @p436 :rule chain_m_resolution :premises (@p435 @p363) :args (@t179 @t132 (@list @t151)))
% 0.36/0.60  (step @p437 :rule refl :args (@t195))
% 0.36/0.60  (step @p438 :rule bool-double-not-elim :args (@t133))
% 0.36/0.60  (step @p439 :rule refl :args (@t196))
% 0.36/0.60  (step @p440 :rule nary_cong :premises (@p439 @p438 @p437) :args ((or @t196 (not @t135) @t195)))
% 0.36/0.60  (assume-push @p600 @t179)
% 0.36/0.60  (assume-push @p601 @t135)
% 0.36/0.60  (assume-push @p602 @t135)
% 0.36/0.60  (assume-push @p603 @t179)
% 0.36/0.60  (step @p445 :rule false_intro :premises (@p601))
% 0.36/0.60  (step @p446 :rule refl :args (@t61))
% 0.36/0.60  (step @p447 :rule symm :premises (@p600))
% 0.36/0.60  (step @p448 :rule cong :premises (@p447 @p446) :args (@t194))
% 0.36/0.60  (step @p449 :rule trans :premises (@p448 @p445))
% 0.36/0.60  (step @p450 :rule false_elim :premises (@p449))
% 0.36/0.60  (step-pop @p604 :rule scope :premises (@p450))
% 0.36/0.60  (step-pop @p605 :rule scope :premises (@p604))
% 0.36/0.60  (step @p451 :rule process_scope :premises (@p605) :args (@t195))
% 0.36/0.60  (step @p454 :rule and_intro :premises (@p601 @p600))
% 0.36/0.60  (step @p455 :rule modus_ponens :premises (@p454 @p451))
% 0.36/0.60  (step-pop @p606 :rule scope :premises (@p455))
% 0.36/0.60  (step-pop @p607 :rule scope :premises (@p606))
% 0.36/0.60  (step @p456 :rule process_scope :premises (@p607) :args (@t195))
% 0.36/0.60  (step @p459 :rule implies_elim :premises (@p456))
% 0.36/0.60  (step @p460 :rule cnf_and_neg :args (@t197))
% 0.36/0.60  (step @p461 :rule resolution :premises (@p460 @p459) :args (true @t197))
% 0.36/0.60  (step @p462 :rule eq_resolve :premises (@p461 @p440))
% 0.36/0.60  (step @p463 :rule chain_m_resolution :premises (@p462 @p436 @p275) :args (@t195 (@list false true) (@list @t179 @t133)))
% 0.36/0.60  (step @p464 :rule absorb :args ((= (or true true @t74) true)))
% 0.36/0.60  (step @p465 :rule nary_cong :premises (@p392 @p389 @p37) :args (@t198))
% 0.36/0.60  (step @p466 :rule trans :premises (@p465 @p464))
% 0.36/0.60  (step @p467 :rule cong :premises (@p466) :args (@t199))
% 0.36/0.60  (step @p468 :rule trans :premises (@p467 @p385))
% 0.36/0.60  (step @p469 :rule cong :premises (@p468) :args (@t200))
% 0.36/0.60  (step @p470 :rule trans :premises (@p469 @p315))
% 0.36/0.60  (step @p471 :rule beta-reduce :args ((= @t201 @t200)))
% 0.36/0.60  (step @p472 :rule trans :premises (@p471 @p470))
% 0.36/0.60  (step @p473 :rule absorb :args ((= (or @t55 true @t74) true)))
% 0.36/0.60  (step @p474 :rule nary_cong :premises (@p39 @p389 @p37) :args (@t202))
% 0.36/0.61  (step @p475 :rule trans :premises (@p474 @p473))
% 0.36/0.61  (step @p476 :rule cong :premises (@p475) :args (@t203))
% 0.36/0.61  (step @p477 :rule trans :premises (@p476 @p385))
% 0.36/0.61  (step @p478 :rule cong :premises (@p477) :args (@t204))
% 0.36/0.61  (step @p479 :rule trans :premises (@p478 @p315))
% 0.36/0.61  (step @p480 :rule beta-reduce :args ((= @t205 @t204)))
% 0.36/0.61  (step @p481 :rule trans :premises (@p480 @p479))
% 0.36/0.61  (step @p482 :rule cong :premises (@p481 @p472) :args ((= @t205 @t201)))
% 0.36/0.61  (step @p483 :rule trans :premises (@p482 @p384))
% 0.36/0.61  (step @p484 :rule eq-symm :args (@t201 @t205))
% 0.36/0.61  (step @p485 :rule trans :premises (@p484 @p483))
% 0.36/0.61  (step @p486 :rule cong :premises (@p485) :args (@t206))
% 0.36/0.61  (step @p487 :rule trans :premises (@p486 @p315))
% 0.36/0.61  (step @p488 :rule absorb :args ((= (or @t55 true @t46) true)))
% 0.36/0.61  (step @p489 :rule nary_cong :premises (@p39 @p389 @p154) :args (@t106))
% 0.36/0.61  (step @p490 :rule trans :premises (@p489 @p488))
% 0.36/0.61  (step @p491 :rule cong :premises (@p490) :args (@t107))
% 0.36/0.61  (step @p492 :rule trans :premises (@p491 @p385))
% 0.36/0.61  (step @p493 :rule cong :premises (@p492) :args (@t108))
% 0.36/0.61  (step @p494 :rule trans :premises (@p493 @p315))
% 0.36/0.61  (step @p495 :rule cong :premises (@p494) :args (@t109))
% 0.36/0.61  (step @p496 :rule trans :premises (@p495 @p406))
% 0.36/0.61  (step @p497 :rule cong :premises (@p415 @p496) :args (@t207))
% 0.36/0.61  (step @p498 :rule trans :premises (@p497 @p233))
% 0.36/0.61  (step @p499 :rule nary_cong :premises (@p498 @p487) :args ((or @t207 @t206)))
% 0.36/0.61  (step @p500 :rule trans :premises (@p499 @p383))
% 0.36/0.61  (step @p501 :rule refl :args (@t66))
% 0.36/0.61  (step @p502 :rule ho_cong :premises (@p163 @p501))
% 0.36/0.61  (step @p503 :rule ho_cong :premises (@p427 @p501))
% 0.36/0.61  (step @p504 :rule cong :premises (@p503 @p502) :args (@t209))
% 0.36/0.61  (step @p505 :rule cong :premises (@p504) :args (@t210))
% 0.36/0.61  (step @p506 :rule cong :premises (@p427 @p163) :args (@t194))
% 0.36/0.61  (step @p507 :rule nary_cong :premises (@p506 @p505) :args ((or @t194 @t210)))
% 0.36/0.61  (step @p508 :rule trans :premises (@p507 @p500))
% 0.36/0.61  (step @p509 :rule true_elim :premises (@p508))
% 0.36/0.61  (step @p510 :rule chain_m_resolution :premises (@p509 @p463) :args (@t210 @t132 (@list @t194)))
% 0.36/0.61  (step @p511 :rule beta-reduce :args ((= (_ @t48 @t66) false)))
% 0.36/0.61  (step @p512 :rule ho_cong :premises (@p415 @p501))
% 0.36/0.61  (step @p513 :rule trans :premises (@p512 @p511))
% 0.36/0.61  (step @p514 :rule cong :premises (@p472 @p513) :args ((= @t201 @t211)))
% 0.36/0.61  (step @p515 :rule trans :premises (@p514 @p384))
% 0.36/0.61  (step @p516 :rule ho_cong :premises (@p427 @p501))
% 0.36/0.61  (step @p517 :rule cong :premises (@p503 @p516) :args ((= @t208 @t212)))
% 0.36/0.61  (step @p518 :rule eq-symm :args (@t212 @t208))
% 0.36/0.61  (step @p519 :rule trans :premises (@p518 @p517 @p515))
% 0.36/0.61  (step @p520 :rule true_elim :premises (@p519))
% 0.36/0.61  (step @p521 :rule cong :premises (@p520) :args (@t213))
% 0.36/0.61  (step @p522 :rule cong :premises (@p381 @p521) :args (@t214))
% 0.36/0.61  (step @p523 :rule bool-eq-false :args (@t212))
% 0.36/0.61  (step @p524 :rule eq-symm :args (@t141 @t49))
% 0.36/0.61  (step @p525 :rule cong :premises (@p524 @p523) :args ((=> (= @t141 @t49) (= @t212 false))))
% 0.36/0.61  (step @p526 :rule trans :premises (@p525 @p522))
% 0.36/0.61  (step @p527 :rule evaluate :args ((=> true true)))
% 0.36/0.61  (step @p528 :rule cong :premises (@p513) :args (@t215))
% 0.36/0.61  (step @p529 :rule trans :premises (@p528 @p318))
% 0.36/0.61  (step @p530 :rule cong :premises (@p417 @p529) :args ((=> @t193 @t215)))
% 0.36/0.61  (step @p531 :rule trans :premises (@p530 @p527))
% 0.36/0.61  (step @p532 :rule cong :premises (@p516) :args (@t213))
% 0.36/0.61  (step @p533 :rule cong :premises (@p431 @p532) :args (@t214))
% 0.36/0.61  (step @p534 :rule trans :premises (@p525 @p533 @p531))
% 0.36/0.61  (step @p535 :rule true_elim :premises (@p534))
% 0.36/0.61  (step @p536 :rule eq_resolve :premises (@p535 @p526))
% 0.36/0.61  (step @p537 :rule implies_elim :premises (@p536))
% 0.36/0.61  (step @p538 :rule chain_m_resolution :premises (@p537 @p436) :args ((not @t208) @t78 (@list @t179)))
% 0.36/0.61  (step @p539 :rule cnf_equiv_neg1 :args (@t209))
% 0.36/0.61  (step @p540 :rule reordering :premises (@p539) :args ((or @t208 @t71 @t209)))
% 0.36/0.61  (step @p541 :rule chain_m_resolution :premises (@p540 @p538 @p510) :args (@t71 (@list true true) (@list @t208 @t209)))
% 0.36/0.61  (step @p542 :rule cnf_equiv_pos1 :args (@t77))
% 0.36/0.61  (step @p543 :rule reordering :premises (@p542) :args ((or (not @t71) @t76 (not @t77))))
% 0.36/0.61  (step @p544 :rule chain_m_resolution :premises (@p543 @p541 @p55) :args (@t76 @t174 (@list @t71 @t77)))
% 0.36/0.61  (step @p545 :rule bool-double-not-elim :args (@t75))
% 0.36/0.61  (step @p546 :rule bool-impl-false1 :args (@t76))
% 0.36/0.61  (step @p547 :rule trans :premises (@p546 @p545))
% 0.36/0.61  (step @p548 :rule absorb :args ((= (or @t220 true @t219) true)))
% 0.36/0.61  (step @p549 :rule refl :args (@t219))
% 0.36/0.61  (step @p550 :rule beta-reduce :args ((= @t221 false)))
% 0.36/0.61  (step @p551 :rule cong :premises (@p550) :args ((not @t221)))
% 0.36/0.61  (step @p552 :rule trans :premises (@p551 @p318))
% 0.36/0.61  (step @p553 :rule refl :args (@t216))
% 0.36/0.61  (step @p554 :rule ho_cong :premises (@p156 @p553))
% 0.36/0.61  (step @p555 :rule cong :premises (@p554) :args (@t223))
% 0.36/0.61  (step @p556 :rule bool-eq-false :args (@t222))
% 0.36/0.61  (step @p557 :rule trans :premises (@p556 @p555 @p552))
% 0.36/0.61  (step @p558 :rule true_elim :premises (@p557))
% 0.36/0.61  (step @p559 :rule cong :premises (@p558) :args (@t223))
% 0.36/0.61  (step @p560 :rule trans :premises (@p559 @p318))
% 0.36/0.61  (step @p561 :rule refl :args (@t220))
% 0.36/0.61  (step @p562 :rule nary_cong :premises (@p561 @p560 @p549) :args (@t224))
% 0.36/0.61  (step @p563 :rule trans :premises (@p562 @p548))
% 0.36/0.61  (step @p564 :rule cong :premises (@p563) :args (@t225))
% 0.36/0.61  (step @p565 :rule trans :premises (@p564 @p315))
% 0.36/0.61  (step @p566 :rule refl :args (@t76))
% 0.36/0.61  (step @p567 :rule cong :premises (@p566 @p565) :args ((=> @t76 @t225)))
% 0.36/0.61  (step @p568 :rule trans :premises (@p567 @p547))
% 0.36/0.61  (step @p569 :rule eq-symm :args (@t218 @t66))
% 0.36/0.61  (step @p570 :rule cong :premises (@p569) :args (@t226))
% 0.36/0.61  (step @p571 :rule refl :args (@t223))
% 0.36/0.61  (step @p572 :rule nary_cong :premises (@p561 @p571 @p570) :args (@t227))
% 0.36/0.61  (step @p573 :rule cong :premises (@p572) :args (@t228))
% 0.36/0.61  (step @p574 :rule cong :premises (@p566 @p573) :args ((=> @t76 @t228)))
% 0.36/0.61  (step @p575 :rule trans :premises (@p574 @p568))
% 0.36/0.61  (assume-push @p608 @t76)
% 0.36/0.61  (step @p577 :rule skolemize :premises (@p608))
% 0.36/0.61  (step-pop @p609 :rule scope :premises (@p577))
% 0.36/0.61  (step @p578 :rule process_scope :premises (@p609) :args (@t228))
% 0.36/0.61  (step @p580 :rule eq_resolve :premises (@p578 @p575))
% 0.36/0.61  (step @p581 false :rule chain_m_resolution :premises (@p580 @p544) :args (false @t132 (@list @t75)))
% 0.36/0.61  )
% 0.36/0.61  % SZS output end Proof
% 0.36/0.61  % cvc5 exiting
%------------------------------------------------------------------------------