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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV246^6 : TPTP v9.2.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 08:55:40 AM UTC 2026

% Result   : Theorem 1.22s 1.47s
% Output   : Proof 1.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem  : SEV246^6 : TPTP v9.2.1. Released v5.1.0.
% 0.11/0.15  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.37  % Computer : n001.cluster.edu
% 0.20/0.37  % Model    : x86_64 x86_64
% 0.20/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.37  % Memory   : 8042.1875MB
% 0.20/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.37  % CPULimit : 300
% 0.20/0.37  % WCLimit  : 300
% 0.20/0.37  % DateTime : Tue Jun  2 18:22:50 EDT 2026
% 0.20/0.37  % CPUTime  : 
% 0.29/0.52  %----Proving TH0
% 1.22/1.47  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 1.22/1.47  % SZS status Theorem
% 1.22/1.47  % SZS output start Proof
% 1.22/1.47  (
% 1.22/1.47  (declare-sort tptp.a 0)
% 1.22/1.47  (declare-const tptp.cK (-> (-> tptp.a Bool) tptp.a Bool))
% 1.22/1.47  (define @t1 () (@var "Xx" tptp.a))
% 1.22/1.47  (define @t2 () (@var "S" (-> tptp.a Bool)))
% 1.22/1.47  (define @t3 () (_ @t2 @t1))
% 1.22/1.47  (define @t4 () (@var "Xx0" tptp.a))
% 1.22/1.47  (define @t5 () (_ tptp.cK @t2))
% 1.22/1.47  (define @t6 () (_ @t5 @t4))
% 1.22/1.47  (define @t7 () (_ @t2 @t4))
% 1.22/1.47  (define @t8 () (@list @t4))
% 1.22/1.47  (define @t9 () (forall @t8 (=> @t7 @t6)))
% 1.22/1.47  (define @t10 () (and @t9 @t3))
% 1.22/1.47  (define @t11 () (@list @t2))
% 1.22/1.47  (define @t12 () (exists @t11 @t10))
% 1.22/1.47  (define @t13 () (@var "Xx1" tptp.a))
% 1.22/1.47  (define @t14 () (_ @t5 @t13))
% 1.22/1.47  (define @t15 () (_ @t2 @t13))
% 1.22/1.47  (define @t16 () (@list @t13))
% 1.22/1.47  (define @t17 () (forall @t16 (=> @t15 @t14)))
% 1.22/1.47  (define @t18 () (and @t17 @t7))
% 1.22/1.47  (define @t19 () (exists @t11 @t18))
% 1.22/1.47  (define @t20 () (lambda @t8 @t19))
% 1.22/1.47  (define @t21 () (=> (_ (_ tptp.cK @t20) @t1) @t12))
% 1.22/1.47  (define @t22 () (@list @t1))
% 1.22/1.47  (define @t23 () (forall @t22 @t21))
% 1.22/1.47  (define @t24 () (@var "Y" (-> tptp.a Bool)))
% 1.22/1.47  (define @t25 () (_ (_ tptp.cK @t24) @t1))
% 1.22/1.47  (define @t26 () (@var "X" (-> tptp.a Bool)))
% 1.22/1.47  (define @t27 () (_ (_ tptp.cK @t26) @t1))
% 1.22/1.47  (define @t28 () (forall @t22 (=> @t27 @t25)))
% 1.22/1.47  (define @t29 () (_ @t24 @t1))
% 1.22/1.47  (define @t30 () (_ @t26 @t1))
% 1.22/1.47  (define @t31 () (forall @t22 (=> @t30 @t29)))
% 1.22/1.47  (define @t32 () (=> @t31 @t28))
% 1.22/1.47  (define @t33 () (@list @t26 @t24))
% 1.22/1.47  (define @t34 () (forall @t33 @t32))
% 1.22/1.47  (define @t35 () (=> @t34 @t23))
% 1.22/1.47  (define @t36 () (not @t35))
% 1.22/1.47  (define @t37 () (_ @t2 @t4))
% 1.22/1.47  (define @t38 () (not @t37))
% 1.22/1.47  (define @t39 () (tptp.cK @t2 @t13))
% 1.22/1.47  (define @t40 () (_ @t2 @t13))
% 1.22/1.47  (define @t41 () (not @t40))
% 1.22/1.47  (define @t42 () (or @t41 @t39))
% 1.22/1.47  (define @t43 () (forall @t16 @t42))
% 1.22/1.47  (define @t44 () (not @t43))
% 1.22/1.47  (define @t45 () (or @t44 @t38))
% 1.22/1.47  (define @t46 () (forall @t11 @t45))
% 1.22/1.47  (define @t47 () (not @t46))
% 1.22/1.47  (define @t48 () (lambda @t8 @t47))
% 1.22/1.47  (define @t49 () (@purify @t48))
% 1.22/1.47  (define @t50 () (_ @t49 @t4))
% 1.22/1.47  (define @t51 () (_ @t48 @t4))
% 1.22/1.47  (define @t52 () (= @t50 @t51))
% 1.22/1.47  (define @t53 () (forall @t8 @t52))
% 1.22/1.47  (define @t54 () (_ @t49 @t1))
% 1.22/1.47  (define @t55 () (tptp.cK @t49 @t1))
% 1.22/1.47  (define @t56 () (not @t54))
% 1.22/1.47  (define @t57 () (forall @t22 (or @t56 @t55)))
% 1.22/1.47  (define @t58 () (@quantifiers_skolemize @t57 0))
% 1.22/1.47  (define @t59 () (forall @t11 (or @t44 (not (_ @t2 @t58)))))
% 1.22/1.47  (define @t60 () (@quantifiers_skolemize @t59 0))
% 1.22/1.47  (define @t61 () (forall @t22 (or (not (_ @t60 @t1)) @t54)))
% 1.22/1.47  (define @t62 () (@quantifiers_skolemize @t61 0))
% 1.22/1.47  (define @t63 () (forall @t11 (or @t44 (not (_ @t2 @t62)))))
% 1.22/1.47  (define @t64 () (not @t63))
% 1.22/1.47  (define @t65 () (_ @t49 @t62))
% 1.22/1.47  (define @t66 () (forall @t8 (= @t47 @t50)))
% 1.22/1.47  (define @t67 () (= @t64 @t65))
% 1.22/1.47  (define @t68 () (= @t65 @t64))
% 1.22/1.47  (define @t69 () (@list false))
% 1.22/1.47  (define @t70 () (@list @t66))
% 1.22/1.47  (define @t71 () (_ @t2 @t1))
% 1.22/1.47  (define @t72 () (tptp.cK @t2 @t4))
% 1.22/1.47  (define @t73 () (forall @t8 (or @t38 @t72)))
% 1.22/1.47  (define @t74 () (not @t73))
% 1.22/1.47  (define @t75 () (not (forall @t11 (or @t74 (not @t71)))))
% 1.22/1.47  (define @t76 () (not @t7))
% 1.22/1.47  (define @t77 () (not @t15))
% 1.22/1.47  (define @t78 () (or @t77 @t14))
% 1.22/1.47  (define @t79 () (forall @t16 @t78))
% 1.22/1.47  (define @t80 () (lambda @t8 (not (forall @t11 (or (not @t79) @t76)))))
% 1.22/1.47  (define @t81 () (tptp.cK @t48 @t1))
% 1.22/1.47  (define @t82 () (_ (_ tptp.cK @t48) @t1))
% 1.22/1.47  (define @t83 () (not @t82))
% 1.22/1.47  (define @t84 () (or @t83 @t75))
% 1.22/1.47  (define @t85 () (not @t3))
% 1.22/1.47  (define @t86 () (or @t74 @t85))
% 1.22/1.47  (define @t87 () (and @t73 @t3))
% 1.22/1.47  (define @t88 () (forall @t11 (not @t87)))
% 1.22/1.47  (define @t89 () (not @t88))
% 1.22/1.47  (define @t90 () (or @t76 @t6))
% 1.22/1.47  (define @t91 () (or @t44 @t76))
% 1.22/1.47  (define @t92 () (and @t43 @t7))
% 1.22/1.47  (define @t93 () (forall @t11 (not @t92)))
% 1.22/1.47  (define @t94 () (not @t93))
% 1.22/1.47  (define @t95 () (@var "BOUND_VARIABLE_7475" tptp.a))
% 1.22/1.47  (define @t96 () (tptp.cK @t24 @t95))
% 1.22/1.47  (define @t97 () (not (tptp.cK @t26 @t95)))
% 1.22/1.47  (define @t98 () (_ @t24 @t1))
% 1.22/1.47  (define @t99 () (_ @t26 @t1))
% 1.22/1.47  (define @t100 () (forall @t22 (or (not @t99) @t98)))
% 1.22/1.47  (define @t101 () (not @t100))
% 1.22/1.47  (define @t102 () (or @t101 @t97 @t96))
% 1.22/1.47  (define @t103 () (or @t97 @t96))
% 1.22/1.47  (define @t104 () (or @t101 @t103))
% 1.22/1.47  (define @t105 () (@list @t26 @t24 @t95))
% 1.22/1.47  (define @t106 () (forall @t105 @t104))
% 1.22/1.47  (define @t107 () (@list @t95))
% 1.22/1.47  (define @t108 () (forall @t107 @t104))
% 1.22/1.47  (define @t109 () (forall @t107 @t103))
% 1.22/1.47  (define @t110 () (or @t101 @t109))
% 1.22/1.47  (define @t111 () (tptp.cK @t24 @t1))
% 1.22/1.47  (define @t112 () (tptp.cK @t26 @t1))
% 1.22/1.47  (define @t113 () (forall @t22 (or (not @t112) @t111)))
% 1.22/1.47  (define @t114 () (not @t27))
% 1.22/1.47  (define @t115 () (or @t114 @t25))
% 1.22/1.47  (define @t116 () (not @t30))
% 1.22/1.47  (define @t117 () (or @t116 @t29))
% 1.22/1.47  (define @t118 () (not @t59))
% 1.22/1.47  (define @t119 () (_ @t49 @t58))
% 1.22/1.47  (define @t120 () (= @t118 @t119))
% 1.22/1.47  (define @t121 () (@list @t58))
% 1.22/1.47  (define @t122 () (= @t119 @t118))
% 1.22/1.47  (define @t123 () (_ tptp.cK @t49))
% 1.22/1.47  (define @t124 () (tptp.cK @t123 @t4))
% 1.22/1.47  (define @t125 () (tptp.cK @t49 @t4))
% 1.22/1.47  (define @t126 () (forall @t8 (or (not @t125) @t124)))
% 1.22/1.47  (define @t127 () (@quantifiers_skolemize @t126 0))
% 1.22/1.47  (define @t128 () (tptp.cK @t123 @t127))
% 1.22/1.47  (define @t129 () (tptp.cK @t49 @t127))
% 1.22/1.47  (define @t130 () (not @t129))
% 1.22/1.47  (define @t131 () (_ @t123 @t1))
% 1.22/1.47  (define @t132 () (or @t56 @t131))
% 1.22/1.47  (define @t133 () (_ @t123 @t1))
% 1.22/1.47  (define @t134 () (or @t56 @t133))
% 1.22/1.47  (define @t135 () (forall @t22 @t134))
% 1.22/1.47  (define @t136 () (not @t135))
% 1.22/1.47  (define @t137 () (or @t136 @t130 @t128))
% 1.22/1.47  (define @t138 () (forall @t105 @t102))
% 1.22/1.47  (define @t139 () (not @t57))
% 1.22/1.47  (define @t140 () (or @t139 @t130 @t128))
% 1.22/1.47  (define @t141 () (forall @t22 (or (not @t81) @t75)))
% 1.22/1.47  (define @t142 () (@quantifiers_skolemize @t141 0))
% 1.22/1.47  (define @t143 () (forall @t11 (or @t74 (not (_ @t2 @t142)))))
% 1.22/1.47  (define @t144 () (not @t143))
% 1.22/1.47  (define @t145 () (tptp.cK @t49 @t142))
% 1.22/1.47  (define @t146 () (not @t145))
% 1.22/1.47  (define @t147 () (or @t146 @t144))
% 1.22/1.47  (define @t148 () (not @t147))
% 1.22/1.47  (define @t149 () (not @t141))
% 1.22/1.47  (define @t150 () (tptp.cK @t48 @t142))
% 1.22/1.47  (define @t151 () (not @t150))
% 1.22/1.47  (define @t152 () (or @t151 @t144))
% 1.22/1.47  (define @t153 () (not @t152))
% 1.22/1.47  (define @t154 () (@list true))
% 1.22/1.47  (define @t155 () (@list @t147))
% 1.22/1.47  (define @t156 () (_ @t123 @t142))
% 1.22/1.47  (define @t157 () (not @t156))
% 1.22/1.47  (define @t158 () (not @t126))
% 1.22/1.47  (define @t159 () (or @t158 @t157))
% 1.22/1.47  (define @t160 () (_ @t123 @t142))
% 1.22/1.47  (define @t161 () (not @t160))
% 1.22/1.47  (define @t162 () (_ @t123 @t4))
% 1.22/1.47  (define @t163 () (not @t162))
% 1.22/1.47  (define @t164 () (or @t163 @t124))
% 1.22/1.47  (define @t165 () (_ @t123 @t4))
% 1.22/1.47  (define @t166 () (not @t165))
% 1.22/1.47  (define @t167 () (or @t166 @t124))
% 1.22/1.47  (define @t168 () (forall @t8 @t167))
% 1.22/1.47  (define @t169 () (not @t168))
% 1.22/1.47  (define @t170 () (or @t169 @t161))
% 1.22/1.47  (define @t171 () (or @t158 @t146))
% 1.22/1.47  (define @t172 () (@list false false))
% 1.22/1.47  (define @t173 () (or @t130 @t128))
% 1.22/1.47  (define @t174 () (@list @t173))
% 1.22/1.47  (define @t175 () (tptp.cK @t49 @t58))
% 1.22/1.47  (define @t176 () (not @t119))
% 1.22/1.47  (define @t177 () (or @t176 @t175))
% 1.22/1.47  (define @t178 () (@list @t177))
% 1.22/1.47  (define @t179 () (forall @t16 (or (not (_ @t60 @t13)) (tptp.cK @t60 @t13))))
% 1.22/1.47  (define @t180 () (_ @t60 @t58))
% 1.22/1.47  (define @t181 () (not @t180))
% 1.22/1.47  (define @t182 () (not @t179))
% 1.22/1.47  (define @t183 () (or @t182 @t181))
% 1.22/1.47  (define @t184 () (@list @t183))
% 1.22/1.47  (define @t185 () (tptp.cK @t60 @t58))
% 1.22/1.47  (define @t186 () (or @t181 @t185))
% 1.22/1.47  (define @t187 () (not @t185))
% 1.22/1.47  (define @t188 () (not @t61))
% 1.22/1.47  (define @t189 () (or @t188 @t187 @t175))
% 1.22/1.47  (define @t190 () (_ @t60 @t62))
% 1.22/1.47  (define @t191 () (not @t190))
% 1.22/1.47  (define @t192 () (or @t191 @t65))
% 1.22/1.47  (define @t193 () (@list @t192))
% 1.22/1.47  (define @t194 () (not @t68))
% 1.22/1.47  (define @t195 () (@list true false))
% 1.22/1.47  (define @t196 () (or @t182 @t191))
% 1.22/1.47  (define @t197 () (not @t196))
% 1.22/1.47  (assume @p1 @t36)
% 1.22/1.47  (assume @p2 true)
% 1.22/1.47  (step @p3 :rule eq-symm :args (@t50 @t47))
% 1.22/1.47  (step @p4 :rule beta-reduce :args ((= @t51 @t47)))
% 1.22/1.47  (step @p5 :rule refl :args (@t50))
% 1.22/1.47  (step @p6 :rule cong :premises (@p5 @p4) :args (@t52))
% 1.22/1.47  (step @p7 :rule trans :premises (@p6 @p3))
% 1.22/1.47  (step @p8 :rule cong :premises (@p7) :args (@t53))
% 1.22/1.47  (step @p9 :rule quant-unused-vars :args ((= (forall @t8 true) true)))
% 1.22/1.47  (step @p10 :rule eq-refl :args (@t51))
% 1.22/1.47  (step @p11 :rule cong :premises (@p10) :args ((forall @t8 (= @t51 @t51))))
% 1.22/1.47  (step @p12 :rule trans :premises (@p11 @p9))
% 1.22/1.47  (step @p13 :rule refl :args (@t51))
% 1.22/1.47  (step @p14 :rule refl :args (@t4))
% 1.22/1.47  (step @p15 :rule skolem_intro :args (@t49))
% 1.22/1.47  (step @p16 :rule ho_cong :premises (@p15 @p14))
% 1.22/1.47  (step @p17 :rule cong :premises (@p16 @p13) :args (@t52))
% 1.22/1.47  (step @p18 :rule cong :premises (@p17) :args (@t53))
% 1.22/1.47  (step @p19 :rule trans :premises (@p18 @p12))
% 1.22/1.47  (step @p20 :rule true_elim :premises (@p19))
% 1.22/1.47  (step @p21 :rule eq_resolve :premises (@p20 @p8))
% 1.22/1.47  (step @p22 :rule eq-symm :args (@t64 @t65))
% 1.22/1.47  (step @p23 :rule refl :args (@t66))
% 1.22/1.47  (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t66 @t67)))
% 1.22/1.47  (assume-push @p374 @t66)
% 1.22/1.47  (step @p26 :rule instantiate :premises (@p21) :args ((@list @t62)))
% 1.22/1.47  (step-pop @p375 :rule scope :premises (@p26))
% 1.22/1.47  (step @p27 :rule process_scope :premises (@p375) :args (@t67))
% 1.22/1.47  (step @p29 :rule eq_resolve :premises (@p27 @p24))
% 1.22/1.47  (step @p30 :rule implies_elim :premises (@p29))
% 1.22/1.47  (step @p31 :rule chain_m_resolution :premises (@p30 @p21) :args (@t68 @t69 @t70))
% 1.22/1.47  (step @p32 :rule refl :args (@t75))
% 1.22/1.47  (step @p33 :rule refl :args ((tptp.cK @t80 @t1)))
% 1.22/1.47  (step @p34 :rule refl :args (@t1))
% 1.22/1.47  (step @p35 :rule refl :args (@t37))
% 1.22/1.47  (step @p36 :rule cong :premises (@p35) :args (@t38))
% 1.22/1.47  (step @p37 :rule refl :args (@t39))
% 1.22/1.47  (step @p38 :rule refl :args (@t40))
% 1.22/1.47  (step @p39 :rule cong :premises (@p38) :args (@t41))
% 1.22/1.47  (step @p40 :rule nary_cong :premises (@p39 @p37) :args (@t42))
% 1.22/1.47  (step @p41 :rule cong :premises (@p40) :args (@t43))
% 1.22/1.47  (step @p42 :rule cong :premises (@p41) :args (@t44))
% 1.22/1.47  (step @p43 :rule nary_cong :premises (@p42 @p36) :args (@t45))
% 1.22/1.47  (step @p44 :rule cong :premises (@p43) :args (@t46))
% 1.22/1.47  (step @p45 :rule cong :premises (@p44) :args (@t47))
% 1.22/1.47  (step @p46 :rule cong :premises (@p45) :args (@t48))
% 1.22/1.47  (step @p47 :rule cong :premises (@p46 @p34) :args (@t81))
% 1.22/1.47  (step @p48 :rule trans :premises (@p47 @p33))
% 1.22/1.47  (step @p49 :rule refl :args (tptp.cK))
% 1.22/1.47  (step @p50 :rule ho_cong :premises (@p49 @p46))
% 1.22/1.47  (step @p51 :rule ho_cong :premises (@p50 @p34))
% 1.22/1.47  (step @p52 :rule cong :premises (@p51 @p48) :args ((= @t82 @t81)))
% 1.22/1.47  (step @p53 :rule symm :premises (@p52))
% 1.22/1.47  (step @p54 :rule refl :args ((_ (_ tptp.cK @t80) @t1)))
% 1.22/1.47  (step @p55 :rule eq_resolve :premises (@p54 @p53))
% 1.22/1.47  (step @p56 :rule cong :premises (@p55) :args (@t83))
% 1.22/1.47  (step @p57 :rule nary_cong :premises (@p56 @p32) :args (@t84))
% 1.22/1.47  (step @p58 :rule cong :premises (@p57) :args ((forall @t22 @t84)))
% 1.22/1.47  (step @p59 :rule bool-impl-elim :args (@t82 @t75))
% 1.22/1.47  (step @p60 :rule cong :premises (@p59) :args ((forall @t22 (=> @t82 @t75))))
% 1.22/1.47  (step @p61 :rule trans :premises (@p60 @p58))
% 1.22/1.47  (step @p62 :rule refl :args (@t71))
% 1.22/1.47  (step @p63 :rule refl :args (@t3))
% 1.22/1.47  (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t3 @t71)))
% 1.22/1.47  (step @p65 :rule symm :premises (@p64))
% 1.22/1.47  (step @p66 :rule eq_resolve :premises (@p63 @p65))
% 1.22/1.47  (step @p67 :rule cong :premises (@p66) :args (@t85))
% 1.22/1.47  (step @p68 :rule refl :args (@t74))
% 1.22/1.47  (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t86))
% 1.22/1.47  (step @p70 :rule cong :premises (@p69) :args ((forall @t11 @t86)))
% 1.22/1.47  (step @p71 :rule bool-and-de-morgan :args (@t73 @t3 true))
% 1.22/1.47  (step @p72 :rule cong :premises (@p71) :args (@t88))
% 1.22/1.47  (step @p73 :rule trans :premises (@p72 @p70))
% 1.22/1.47  (step @p74 :rule cong :premises (@p73) :args (@t89))
% 1.22/1.47  (step @p75 :rule exists-elim :args ((= (exists @t11 @t87) @t89)))
% 1.22/1.47  (step @p76 :rule trans :premises (@p75 @p74))
% 1.22/1.47  (step @p77 :rule refl :args (@t3))
% 1.22/1.47  (step @p78 :rule refl :args (@t72))
% 1.22/1.47  (step @p79 :rule refl :args (@t6))
% 1.22/1.47  (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t6 @t72)))
% 1.22/1.47  (step @p81 :rule symm :premises (@p80))
% 1.22/1.47  (step @p82 :rule eq_resolve :premises (@p79 @p81))
% 1.22/1.47  (step @p83 :rule refl :args (@t7))
% 1.22/1.47  (step @p84 :rule cong :premises (@p83 @p35) :args ((= @t7 @t37)))
% 1.22/1.47  (step @p85 :rule symm :premises (@p84))
% 1.22/1.47  (step @p86 :rule eq_resolve :premises (@p83 @p85))
% 1.22/1.47  (step @p87 :rule cong :premises (@p86) :args (@t76))
% 1.22/1.47  (step @p88 :rule nary_cong :premises (@p87 @p82) :args (@t90))
% 1.22/1.47  (step @p89 :rule cong :premises (@p88) :args ((forall @t8 @t90)))
% 1.22/1.47  (step @p90 :rule bool-impl-elim :args (@t7 @t6))
% 1.22/1.47  (step @p91 :rule cong :premises (@p90) :args (@t9))
% 1.22/1.47  (step @p92 :rule trans :premises (@p91 @p89))
% 1.22/1.47  (step @p93 :rule nary_cong :premises (@p92 @p77) :args (@t10))
% 1.22/1.47  (step @p94 :rule cong :premises (@p93) :args (@t12))
% 1.22/1.47  (step @p95 :rule trans :premises (@p94 @p76))
% 1.22/1.47  (step @p96 :rule refl :args (@t1))
% 1.22/1.47  (step @p97 :rule refl :args (@t44))
% 1.22/1.47  (step @p98 :rule nary_cong :premises (@p97 @p87) :args (@t91))
% 1.22/1.47  (step @p99 :rule cong :premises (@p98) :args ((forall @t11 @t91)))
% 1.22/1.47  (step @p100 :rule bool-and-de-morgan :args (@t43 @t7 true))
% 1.22/1.47  (step @p101 :rule cong :premises (@p100) :args (@t93))
% 1.22/1.47  (step @p102 :rule trans :premises (@p101 @p99))
% 1.22/1.47  (step @p103 :rule cong :premises (@p102) :args (@t94))
% 1.22/1.47  (step @p104 :rule exists-elim :args ((= (exists @t11 @t92) @t94)))
% 1.22/1.47  (step @p105 :rule trans :premises (@p104 @p103))
% 1.22/1.47  (step @p106 :rule refl :args (@t7))
% 1.22/1.47  (step @p107 :rule refl :args (@t14))
% 1.22/1.47  (step @p108 :rule cong :premises (@p107 @p37) :args ((= @t14 @t39)))
% 1.22/1.47  (step @p109 :rule symm :premises (@p108))
% 1.22/1.47  (step @p110 :rule eq_resolve :premises (@p107 @p109))
% 1.22/1.47  (step @p111 :rule refl :args (@t15))
% 1.22/1.47  (step @p112 :rule cong :premises (@p111 @p38) :args ((= @t15 @t40)))
% 1.22/1.47  (step @p113 :rule symm :premises (@p112))
% 1.22/1.47  (step @p114 :rule eq_resolve :premises (@p111 @p113))
% 1.22/1.47  (step @p115 :rule cong :premises (@p114) :args (@t77))
% 1.22/1.47  (step @p116 :rule nary_cong :premises (@p115 @p110) :args (@t78))
% 1.22/1.47  (step @p117 :rule cong :premises (@p116) :args (@t79))
% 1.22/1.47  (step @p118 :rule bool-impl-elim :args (@t15 @t14))
% 1.22/1.47  (step @p119 :rule cong :premises (@p118) :args (@t17))
% 1.22/1.47  (step @p120 :rule trans :premises (@p119 @p117))
% 1.22/1.47  (step @p121 :rule nary_cong :premises (@p120 @p106) :args (@t18))
% 1.22/1.47  (step @p122 :rule cong :premises (@p121) :args (@t19))
% 1.22/1.47  (step @p123 :rule trans :premises (@p122 @p105))
% 1.22/1.47  (step @p124 :rule cong :premises (@p123) :args (@t20))
% 1.22/1.47  (step @p125 :rule refl :args (tptp.cK))
% 1.22/1.47  (step @p126 :rule ho_cong :premises (@p125 @p124))
% 1.22/1.47  (step @p127 :rule ho_cong :premises (@p126 @p96))
% 1.22/1.47  (step @p128 :rule cong :premises (@p127 @p95) :args (@t21))
% 1.22/1.47  (step @p129 :rule cong :premises (@p128) :args (@t23))
% 1.22/1.47  (step @p130 :rule trans :premises (@p129 @p61))
% 1.22/1.47  (step @p131 :rule aci_norm :args ((= @t104 @t102)))
% 1.22/1.47  (step @p132 :rule cong :premises (@p131) :args (@t106))
% 1.22/1.47  (step @p133 :rule quant-merge-prenex :args ((= (forall @t33 @t108) @t106)))
% 1.22/1.47  (step @p134 :rule alpha_equiv :args (@t109 (@list @t95) (@list @t1)))
% 1.22/1.47  (step @p135 :rule refl :args (@t101))
% 1.22/1.47  (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t110))
% 1.22/1.47  (step @p137 :rule quant-miniscope-or :args ((= @t108 @t110)))
% 1.22/1.47  (step @p138 :rule trans :premises (@p137 @p136))
% 1.22/1.47  (step @p139 :rule symm :premises (@p138))
% 1.22/1.47  (step @p140 :rule cong :premises (@p139) :args ((forall @t33 (or @t101 @t113))))
% 1.22/1.47  (step @p141 :rule trans :premises (@p140 @p133))
% 1.22/1.47  (step @p142 :rule trans :premises (@p141 @p132))
% 1.22/1.47  (step @p143 :rule bool-impl-elim :args (@t100 @t113))
% 1.22/1.47  (step @p144 :rule cong :premises (@p143) :args ((forall @t33 (=> @t100 @t113))))
% 1.22/1.47  (step @p145 :rule trans :premises (@p144 @p142))
% 1.22/1.47  (step @p146 :rule refl :args (@t111))
% 1.22/1.47  (step @p147 :rule refl :args (@t25))
% 1.22/1.47  (step @p148 :rule cong :premises (@p147 @p146) :args ((= @t25 @t111)))
% 1.22/1.47  (step @p149 :rule symm :premises (@p148))
% 1.22/1.47  (step @p150 :rule eq_resolve :premises (@p147 @p149))
% 1.22/1.47  (step @p151 :rule refl :args (@t112))
% 1.22/1.47  (step @p152 :rule refl :args (@t27))
% 1.22/1.47  (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t27 @t112)))
% 1.22/1.47  (step @p154 :rule symm :premises (@p153))
% 1.22/1.47  (step @p155 :rule eq_resolve :premises (@p152 @p154))
% 1.22/1.47  (step @p156 :rule cong :premises (@p155) :args (@t114))
% 1.22/1.47  (step @p157 :rule nary_cong :premises (@p156 @p150) :args (@t115))
% 1.22/1.47  (step @p158 :rule cong :premises (@p157) :args ((forall @t22 @t115)))
% 1.22/1.47  (step @p159 :rule bool-impl-elim :args (@t27 @t25))
% 1.22/1.47  (step @p160 :rule cong :premises (@p159) :args (@t28))
% 1.22/1.47  (step @p161 :rule trans :premises (@p160 @p158))
% 1.22/1.47  (step @p162 :rule refl :args (@t98))
% 1.22/1.47  (step @p163 :rule refl :args (@t29))
% 1.22/1.47  (step @p164 :rule cong :premises (@p163 @p162) :args ((= @t29 @t98)))
% 1.22/1.47  (step @p165 :rule symm :premises (@p164))
% 1.22/1.47  (step @p166 :rule eq_resolve :premises (@p163 @p165))
% 1.22/1.47  (step @p167 :rule refl :args (@t99))
% 1.22/1.47  (step @p168 :rule refl :args (@t30))
% 1.22/1.47  (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t30 @t99)))
% 1.22/1.47  (step @p170 :rule symm :premises (@p169))
% 1.22/1.47  (step @p171 :rule eq_resolve :premises (@p168 @p170))
% 1.22/1.47  (step @p172 :rule cong :premises (@p171) :args (@t116))
% 1.22/1.47  (step @p173 :rule nary_cong :premises (@p172 @p166) :args (@t117))
% 1.22/1.47  (step @p174 :rule cong :premises (@p173) :args ((forall @t22 @t117)))
% 1.22/1.47  (step @p175 :rule bool-impl-elim :args (@t30 @t29))
% 1.22/1.47  (step @p176 :rule cong :premises (@p175) :args (@t31))
% 1.22/1.47  (step @p177 :rule trans :premises (@p176 @p174))
% 1.22/1.47  (step @p178 :rule cong :premises (@p177 @p161) :args (@t32))
% 1.22/1.47  (step @p179 :rule cong :premises (@p178) :args (@t34))
% 1.22/1.47  (step @p180 :rule trans :premises (@p179 @p145))
% 1.22/1.47  (step @p181 :rule cong :premises (@p180 @p130) :args (@t35))
% 1.22/1.47  (step @p182 :rule cong :premises (@p181) :args (@t36))
% 1.22/1.47  (step @p183 :rule eq_resolve :premises (@p1 @p182))
% 1.22/1.47  (step @p184 :rule not_implies_elim1 :premises (@p183))
% 1.22/1.47  (step @p185 :rule instantiate :premises (@p184) :args ((@list @t60 @t49 @t58)))
% 1.22/1.47  (step @p186 :rule eq-symm :args (@t118 @t119))
% 1.22/1.47  (step @p187 :rule cong :premises (@p23 @p186) :args ((=> @t66 @t120)))
% 1.22/1.47  (assume-push @p376 @t66)
% 1.22/1.47  (step @p189 :rule instantiate :premises (@p21) :args (@t121))
% 1.22/1.47  (step-pop @p377 :rule scope :premises (@p189))
% 1.22/1.47  (step @p190 :rule process_scope :premises (@p377) :args (@t120))
% 1.22/1.47  (step @p192 :rule eq_resolve :premises (@p190 @p187))
% 1.22/1.47  (step @p193 :rule implies_elim :premises (@p192))
% 1.22/1.47  (step @p194 :rule chain_m_resolution :premises (@p193 @p21) :args (@t122 @t69 @t70))
% 1.22/1.47  (step @p195 :rule refl :args (@t128))
% 1.22/1.47  (step @p196 :rule refl :args (@t130))
% 1.22/1.47  (step @p197 :rule refl :args (@t55))
% 1.22/1.47  (step @p198 :rule refl :args (@t131))
% 1.22/1.47  (step @p199 :rule cong :premises (@p198 @p197) :args ((= @t131 @t55)))
% 1.22/1.47  (step @p200 :rule symm :premises (@p199))
% 1.22/1.47  (step @p201 :rule eq_resolve :premises (@p198 @p200))
% 1.22/1.47  (step @p202 :rule refl :args (@t56))
% 1.22/1.47  (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t132))
% 1.22/1.47  (step @p204 :rule cong :premises (@p203) :args ((forall @t22 @t132)))
% 1.22/1.47  (step @p205 :rule refl :args (@t133))
% 1.22/1.47  (step @p206 :rule refl :args (@t56))
% 1.22/1.47  (step @p207 :rule nary_cong :premises (@p206 @p205) :args (@t134))
% 1.22/1.47  (step @p208 :rule cong :premises (@p207) :args (@t135))
% 1.22/1.47  (step @p209 :rule trans :premises (@p208 @p204))
% 1.22/1.47  (step @p210 :rule cong :premises (@p209) :args (@t136))
% 1.22/1.47  (step @p211 :rule nary_cong :premises (@p210 @p196 @p195) :args (@t137))
% 1.22/1.47  (step @p212 :rule refl :args (@t138))
% 1.22/1.47  (step @p213 :rule cong :premises (@p212 @p211) :args ((=> @t138 @t137)))
% 1.22/1.47  (assume-push @p378 @t138)
% 1.22/1.47  (step @p215 :rule instantiate :premises (@p184) :args ((@list @t49 @t123 @t127)))
% 1.22/1.47  (step-pop @p379 :rule scope :premises (@p215))
% 1.22/1.47  (step @p216 :rule process_scope :premises (@p379) :args (@t137))
% 1.22/1.47  (step @p218 :rule eq_resolve :premises (@p216 @p213))
% 1.22/1.47  (step @p219 :rule implies_elim :premises (@p218))
% 1.22/1.47  (step @p220 :rule chain_m_resolution :premises (@p219 @p184) :args (@t140 @t69 (@list @t138)))
% 1.22/1.47  (step @p221 :rule not_implies_elim2 :premises (@p183))
% 1.22/1.47  (step @p222 :rule refl :args (@t148))
% 1.22/1.47  (step @p223 :rule bool-double-not-elim :args (@t141))
% 1.22/1.47  (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or (not @t149) @t148)))
% 1.22/1.47  (step @p225 :rule refl :args (@t144))
% 1.22/1.47  (step @p226 :rule refl :args (@t142))
% 1.22/1.47  (step @p227 :rule eq-refl :args (@t48))
% 1.22/1.47  (step @p228 :rule refl :args (@t48))
% 1.22/1.47  (step @p229 :rule cong :premises (@p228 @p15) :args ((= @t48 @t49)))
% 1.22/1.47  (step @p230 :rule trans :premises (@p229 @p227))
% 1.22/1.47  (step @p231 :rule true_elim :premises (@p230))
% 1.22/1.47  (step @p232 :rule cong :premises (@p231 @p226) :args (@t150))
% 1.22/1.47  (step @p233 :rule cong :premises (@p232) :args (@t151))
% 1.22/1.47  (step @p234 :rule nary_cong :premises (@p233 @p225) :args (@t152))
% 1.22/1.47  (step @p235 :rule cong :premises (@p234) :args (@t153))
% 1.22/1.47  (step @p236 :rule refl :args (@t149))
% 1.22/1.47  (step @p237 :rule cong :premises (@p236 @p235) :args ((=> @t149 @t153)))
% 1.22/1.47  (assume-push @p380 @t149)
% 1.22/1.47  (step @p239 :rule skolemize :premises (@p221))
% 1.22/1.47  (step-pop @p381 :rule scope :premises (@p239))
% 1.22/1.47  (step @p240 :rule process_scope :premises (@p381) :args (@t153))
% 1.22/1.47  (step @p242 :rule eq_resolve :premises (@p240 @p237))
% 1.22/1.47  (step @p243 :rule implies_elim :premises (@p242))
% 1.22/1.47  (step @p244 :rule eq_resolve :premises (@p243 @p224))
% 1.22/1.47  (step @p245 :rule chain_m_resolution :premises (@p244 @p221) :args (@t148 @t154 (@list @t141)))
% 1.22/1.47  (step @p246 :rule bool-double-not-elim :args (@t143))
% 1.22/1.47  (step @p247 :rule refl :args (@t147))
% 1.22/1.47  (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or @t147 (not @t144))))
% 1.22/1.47  (step @p249 :rule cnf_or_neg :args (@t147 1))
% 1.22/1.47  (step @p250 :rule eq_resolve :premises (@p249 @p248))
% 1.22/1.47  (step @p251 :rule reordering :premises (@p250) :args ((or @t143 @t147)))
% 1.22/1.47  (step @p252 :rule chain_m_resolution :premises (@p251 @p245) :args (@t143 @t154 @t155))
% 1.22/1.47  (step @p253 :rule refl :args (@t145))
% 1.22/1.47  (step @p254 :rule refl :args (@t156))
% 1.22/1.47  (step @p255 :rule cong :premises (@p254 @p253) :args ((= @t156 @t145)))
% 1.22/1.47  (step @p256 :rule symm :premises (@p255))
% 1.22/1.47  (step @p257 :rule eq_resolve :premises (@p254 @p256))
% 1.22/1.47  (step @p258 :rule cong :premises (@p257) :args (@t157))
% 1.22/1.47  (step @p259 :rule refl :args (@t158))
% 1.22/1.47  (step @p260 :rule nary_cong :premises (@p259 @p258) :args (@t159))
% 1.22/1.47  (step @p261 :rule refl :args (@t143))
% 1.22/1.47  (step @p262 :rule cong :premises (@p261 @p260) :args ((=> @t143 @t159)))
% 1.22/1.47  (step @p263 :rule refl :args (@t160))
% 1.22/1.47  (step @p264 :rule cong :premises (@p263) :args (@t161))
% 1.22/1.47  (step @p265 :rule refl :args (@t124))
% 1.22/1.47  (step @p266 :rule refl :args (@t125))
% 1.22/1.47  (step @p267 :rule refl :args (@t162))
% 1.22/1.47  (step @p268 :rule cong :premises (@p267 @p266) :args ((= @t162 @t125)))
% 1.22/1.47  (step @p269 :rule symm :premises (@p268))
% 1.22/1.47  (step @p270 :rule eq_resolve :premises (@p267 @p269))
% 1.22/1.47  (step @p271 :rule cong :premises (@p270) :args (@t163))
% 1.22/1.47  (step @p272 :rule nary_cong :premises (@p271 @p265) :args (@t164))
% 1.22/1.47  (step @p273 :rule cong :premises (@p272) :args ((forall @t8 @t164)))
% 1.22/1.47  (step @p274 :rule refl :args (@t124))
% 1.22/1.47  (step @p275 :rule refl :args (@t165))
% 1.22/1.47  (step @p276 :rule cong :premises (@p275) :args (@t166))
% 1.22/1.47  (step @p277 :rule nary_cong :premises (@p276 @p274) :args (@t167))
% 1.22/1.47  (step @p278 :rule cong :premises (@p277) :args (@t168))
% 1.22/1.47  (step @p279 :rule trans :premises (@p278 @p273))
% 1.22/1.47  (step @p280 :rule cong :premises (@p279) :args (@t169))
% 1.22/1.47  (step @p281 :rule nary_cong :premises (@p280 @p264) :args (@t170))
% 1.22/1.47  (step @p282 :rule cong :premises (@p261 @p281) :args ((=> @t143 @t170)))
% 1.22/1.47  (assume-push @p382 @t143)
% 1.22/1.47  (step @p284 :rule instantiate :premises (@p252) :args ((@list @t123)))
% 1.22/1.47  (step-pop @p383 :rule scope :premises (@p284))
% 1.22/1.47  (step @p285 :rule process_scope :premises (@p383) :args (@t170))
% 1.22/1.47  (step @p287 :rule eq_resolve :premises (@p285 @p282))
% 1.22/1.47  (step @p288 :rule eq_resolve :premises (@p287 @p262))
% 1.22/1.47  (step @p289 :rule implies_elim :premises (@p288))
% 1.22/1.47  (step @p290 :rule chain_m_resolution :premises (@p289 @p252) :args (@t171 @t69 (@list @t143)))
% 1.22/1.47  (step @p291 :rule bool-double-not-elim :args (@t145))
% 1.22/1.47  (step @p292 :rule nary_cong :premises (@p247 @p291) :args ((or @t147 (not @t146))))
% 1.22/1.47  (step @p293 :rule cnf_or_neg :args (@t147 0))
% 1.22/1.47  (step @p294 :rule eq_resolve :premises (@p293 @p292))
% 1.22/1.47  (step @p295 :rule reordering :premises (@p294) :args ((or @t145 @t147)))
% 1.22/1.47  (step @p296 :rule chain_m_resolution :premises (@p295 @p245) :args (@t145 @t154 @t155))
% 1.22/1.47  (step @p297 :rule cnf_or_pos :args (@t171))
% 1.22/1.47  (step @p298 :rule reordering :premises (@p297) :args ((or @t146 @t158 (not @t171))))
% 1.22/1.47  (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p290) :args (@t158 @t172 (@list @t145 @t171)))
% 1.22/1.47  (step @p300 :rule skolemize :premises (@p299))
% 1.22/1.47  (step @p301 :rule cnf_or_neg :args (@t173 1))
% 1.22/1.47  (step @p302 :rule chain_m_resolution :premises (@p301 @p300) :args ((not @t128) @t154 @t174))
% 1.22/1.47  (step @p303 :rule bool-double-not-elim :args (@t129))
% 1.22/1.47  (step @p304 :rule refl :args (@t173))
% 1.22/1.47  (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or @t173 (not @t130))))
% 1.22/1.47  (step @p306 :rule cnf_or_neg :args (@t173 0))
% 1.22/1.47  (step @p307 :rule eq_resolve :premises (@p306 @p305))
% 1.22/1.47  (step @p308 :rule reordering :premises (@p307) :args ((or @t129 @t173)))
% 1.22/1.47  (step @p309 :rule chain_m_resolution :premises (@p308 @p300) :args (@t129 @t154 @t174))
% 1.22/1.47  (step @p310 :rule cnf_or_pos :args (@t140))
% 1.22/1.47  (step @p311 :rule reordering :premises (@p310) :args ((or @t130 @t128 @t139 (not @t140))))
% 1.22/1.47  (step @p312 :rule chain_m_resolution :premises (@p311 @p309 @p302 @p220) :args (@t139 (@list false true false) (@list @t129 @t128 @t140)))
% 1.22/1.47  (step @p313 :rule skolemize :premises (@p312))
% 1.22/1.47  (step @p314 :rule bool-double-not-elim :args (@t119))
% 1.22/1.47  (step @p315 :rule refl :args (@t177))
% 1.22/1.47  (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or @t177 (not @t176))))
% 1.22/1.47  (step @p317 :rule cnf_or_neg :args (@t177 0))
% 1.22/1.47  (step @p318 :rule eq_resolve :premises (@p317 @p316))
% 1.22/1.47  (step @p319 :rule reordering :premises (@p318) :args ((or @t119 @t177)))
% 1.22/1.47  (step @p320 :rule chain_m_resolution :premises (@p319 @p313) :args (@t119 @t154 @t178))
% 1.22/1.47  (step @p321 :rule cnf_equiv_pos1 :args (@t122))
% 1.22/1.47  (step @p322 :rule reordering :premises (@p321) :args ((or @t176 @t118 (not @t122))))
% 1.22/1.47  (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p194) :args (@t118 @t172 (@list @t119 @t122)))
% 1.22/1.47  (step @p324 :rule skolemize :premises (@p323))
% 1.22/1.47  (step @p325 :rule bool-double-not-elim :args (@t179))
% 1.22/1.47  (step @p326 :rule refl :args (@t183))
% 1.22/1.47  (step @p327 :rule nary_cong :premises (@p326 @p325) :args ((or @t183 (not @t182))))
% 1.22/1.47  (step @p328 :rule cnf_or_neg :args (@t183 0))
% 1.22/1.47  (step @p329 :rule eq_resolve :premises (@p328 @p327))
% 1.22/1.47  (step @p330 :rule reordering :premises (@p329) :args ((or @t179 @t183)))
% 1.22/1.47  (step @p331 :rule chain_m_resolution :premises (@p330 @p324) :args (@t179 @t154 @t184))
% 1.22/1.47  (step @p332 :rule instantiate :premises (@p331) :args (@t121))
% 1.22/1.47  (step @p333 :rule bool-double-not-elim :args (@t180))
% 1.22/1.47  (step @p334 :rule nary_cong :premises (@p326 @p333) :args ((or @t183 (not @t181))))
% 1.22/1.47  (step @p335 :rule cnf_or_neg :args (@t183 1))
% 1.22/1.48  (step @p336 :rule eq_resolve :premises (@p335 @p334))
% 1.22/1.48  (step @p337 :rule reordering :premises (@p336) :args ((or @t180 @t183)))
% 1.22/1.48  (step @p338 :rule chain_m_resolution :premises (@p337 @p324) :args (@t180 @t154 @t184))
% 1.22/1.48  (step @p339 :rule cnf_or_pos :args (@t186))
% 1.22/1.48  (step @p340 :rule reordering :premises (@p339) :args ((or @t181 @t185 (not @t186))))
% 1.22/1.48  (step @p341 :rule chain_m_resolution :premises (@p340 @p338 @p332) :args (@t185 @t172 (@list @t180 @t186)))
% 1.22/1.48  (step @p342 :rule cnf_or_neg :args (@t177 1))
% 1.22/1.48  (step @p343 :rule chain_m_resolution :premises (@p342 @p313) :args ((not @t175) @t154 @t178))
% 1.22/1.48  (step @p344 :rule cnf_or_pos :args (@t189))
% 1.22/1.48  (step @p345 :rule reordering :premises (@p344) :args ((or @t175 @t187 @t188 (not @t189))))
% 1.22/1.48  (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p341 @p185) :args (@t188 (@list true false false) (@list @t175 @t185 @t189)))
% 1.22/1.48  (step @p347 :rule skolemize :premises (@p346))
% 1.22/1.48  (step @p348 :rule cnf_or_neg :args (@t192 1))
% 1.22/1.48  (step @p349 :rule chain_m_resolution :premises (@p348 @p347) :args ((not @t65) @t154 @t193))
% 1.22/1.48  (step @p350 :rule bool-double-not-elim :args (@t63))
% 1.22/1.48  (step @p351 :rule refl :args (@t65))
% 1.22/1.48  (step @p352 :rule refl :args (@t194))
% 1.22/1.48  (step @p353 :rule nary_cong :premises (@p352 @p351 @p350) :args ((or @t194 @t65 (not @t64))))
% 1.22/1.48  (step @p354 :rule cnf_equiv_pos2 :args (@t68))
% 1.22/1.48  (step @p355 :rule eq_resolve :premises (@p354 @p353))
% 1.22/1.48  (step @p356 :rule reordering :premises (@p355) :args ((or @t65 @t63 @t194)))
% 1.22/1.48  (step @p357 :rule chain_m_resolution :premises (@p356 @p349 @p31) :args (@t63 @t195 (@list @t65 @t68)))
% 1.22/1.48  (step @p358 :rule bool-double-not-elim :args (@t190))
% 1.22/1.48  (step @p359 :rule refl :args (@t192))
% 1.22/1.48  (step @p360 :rule nary_cong :premises (@p359 @p358) :args ((or @t192 (not @t191))))
% 1.22/1.48  (step @p361 :rule cnf_or_neg :args (@t192 0))
% 1.22/1.48  (step @p362 :rule eq_resolve :premises (@p361 @p360))
% 1.22/1.48  (step @p363 :rule reordering :premises (@p362) :args ((or @t190 @t192)))
% 1.22/1.48  (step @p364 :rule chain_m_resolution :premises (@p363 @p347) :args (@t190 @t154 @t193))
% 1.22/1.48  (step @p365 :rule cnf_or_pos :args (@t196))
% 1.22/1.48  (step @p366 :rule reordering :premises (@p365) :args ((or @t182 @t191 @t197)))
% 1.22/1.48  (step @p367 :rule chain_m_resolution :premises (@p366 @p331 @p364) :args (@t197 @t172 (@list @t179 @t190)))
% 1.22/1.48  (assume-push @p384 @t63)
% 1.22/1.48  (step @p369 :rule instantiate :premises (@p357) :args ((@list @t60)))
% 1.22/1.48  (step-pop @p385 :rule scope :premises (@p369))
% 1.22/1.48  (step @p370 :rule process_scope :premises (@p385) :args (@t196))
% 1.22/1.48  (step @p372 :rule implies_elim :premises (@p370))
% 1.22/1.48  (step @p373 false :rule chain_m_resolution :premises (@p372 @p367 @p357) :args (false @t195 (@list @t196 @t63)))
% 1.22/1.48  )
% 1.22/1.48  % SZS output end Proof
% 1.22/1.48  % cvc5 exiting
%------------------------------------------------------------------------------