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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU969^5 : TPTP v9.2.1. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 08:53:36 AM UTC 2026

% Result   : Theorem 0.51s 0.72s
% Output   : Proof 0.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SEU969^5 : TPTP v9.2.1. Bugfixed v5.2.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25  % Computer : n012.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8042.1875MB
% 0.08/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25  % CPULimit : 300
% 0.08/0.25  % WCLimit  : 300
% 0.08/0.25  % DateTime : Tue Jun  2 18:04:18 EDT 2026
% 0.08/0.25  % CPUTime  : 
% 0.16/0.33  %----Proving TH0
% 0.51/0.72  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.51/0.72  % SZS status Theorem
% 0.51/0.72  % SZS output start Proof
% 0.51/0.72  (
% 0.51/0.72  (declare-sort $$unsorted 0)
% 0.51/0.72  (declare-const tptp.s (-> $$unsorted $$unsorted))
% 0.51/0.72  (declare-const tptp.c1 $$unsorted)
% 0.51/0.72  (define tptp.cCKB6_BLACK () (let ((_let_1 (@var "Xv" $$unsorted))) (let ((_let_2 (@var "Xu" $$unsorted))) (let ((_let_3 (@var "Xw" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "Xk" $$unsorted))) (let ((_let_5 (@var "Xj" $$unsorted))) (let ((_let_6 (_ tptp.s _let_5))) (lambda (@list _let_2 _let_1) (forall (@list _let_3) (=> (and (_ (_ _let_3 tptp.c1) tptp.c1) (forall (@list _let_5 _let_4) (=> (_ (_ _let_3 _let_5) _let_4) (and (_ (_ _let_3 (_ tptp.s _let_6)) _let_4) (_ (_ _let_3 _let_6) (_ tptp.s _let_4)))))) (_ (_ _let_3 _let_2) _let_1)))))))))))
% 0.51/0.72  (define tptp.cCKB6_NUM () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xp" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Xw" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (and (_ _let_2 tptp.c1) (forall (@list _let_3) (=> (_ _let_2 _let_3) (_ _let_2 (_ tptp.s _let_3))))) (_ _let_2 _let_1))))))))
% 0.51/0.72  (define @t1 () (@var "Xy" $$unsorted))
% 0.51/0.72  (define @t2 () (@var "Xx" $$unsorted))
% 0.51/0.72  (define @t3 () (and (_ tptp.cCKB6_NUM @t2) (_ tptp.cCKB6_NUM @t1)))
% 0.51/0.72  (define @t4 () (=> (_ (_ tptp.cCKB6_BLACK @t2) @t1) @t3))
% 0.51/0.72  (define @t5 () (@list @t2 @t1))
% 0.51/0.72  (define @t6 () (forall @t5 @t4))
% 0.51/0.72  (define @t7 () (not @t6))
% 0.51/0.72  (define @t8 () (@var "Xv" $$unsorted))
% 0.51/0.72  (define @t9 () (@var "Xu" $$unsorted))
% 0.51/0.72  (define @t10 () (@var "Xw" (-> $$unsorted $$unsorted Bool)))
% 0.51/0.72  (define @t11 () (_ (_ @t10 @t9) @t8))
% 0.51/0.72  (define @t12 () (@var "Xk" $$unsorted))
% 0.51/0.72  (define @t13 () (_ tptp.s @t12))
% 0.51/0.72  (define @t14 () (@var "Xj" $$unsorted))
% 0.51/0.72  (define @t15 () (_ tptp.s @t14))
% 0.51/0.72  (define @t16 () (_ (_ @t10 @t15) @t13))
% 0.51/0.72  (define @t17 () (_ tptp.s @t15))
% 0.51/0.72  (define @t18 () (_ (_ @t10 @t17) @t12))
% 0.51/0.72  (define @t19 () (and @t18 @t16))
% 0.51/0.72  (define @t20 () (_ (_ @t10 @t14) @t12))
% 0.51/0.72  (define @t21 () (@list @t14 @t12))
% 0.51/0.72  (define @t22 () (forall @t21 (=> @t20 @t19)))
% 0.51/0.72  (define @t23 () (_ (_ @t10 tptp.c1) tptp.c1))
% 0.51/0.72  (define @t24 () (and @t23 @t22))
% 0.51/0.72  (define @t25 () (=> @t24 @t11))
% 0.51/0.72  (define @t26 () (@list @t10))
% 0.51/0.72  (define @t27 () (forall @t26 @t25))
% 0.51/0.72  (define @t28 () (@list @t9 @t8))
% 0.51/0.72  (define @t29 () (lambda @t28 @t27))
% 0.51/0.72  (define @t30 () (@var "Xp" (-> $$unsorted Bool)))
% 0.51/0.72  (define @t31 () (_ @t30 @t2))
% 0.51/0.72  (define @t32 () (@var "Xw" $$unsorted))
% 0.51/0.72  (define @t33 () (_ tptp.s @t32))
% 0.51/0.72  (define @t34 () (_ @t30 @t33))
% 0.51/0.72  (define @t35 () (_ @t30 @t32))
% 0.51/0.72  (define @t36 () (@list @t32))
% 0.51/0.72  (define @t37 () (forall @t36 (=> @t35 @t34)))
% 0.51/0.72  (define @t38 () (_ @t30 tptp.c1))
% 0.51/0.72  (define @t39 () (and @t38 @t37))
% 0.51/0.72  (define @t40 () (=> @t39 @t31))
% 0.51/0.72  (define @t41 () (@list @t30))
% 0.51/0.72  (define @t42 () (forall @t41 @t40))
% 0.51/0.72  (define @t43 () (@list @t2))
% 0.51/0.72  (define @t44 () (lambda @t43 @t42))
% 0.51/0.72  (define @t45 () (@var "BOUND_VARIABLE_7585" (-> $$unsorted Bool)))
% 0.51/0.72  (define @t46 () (tptp.s @t32))
% 0.51/0.72  (define @t47 () (or (not (_ @t45 tptp.c1)) (not (forall @t36 (or (not (_ @t45 @t32)) (_ @t45 @t46)))) (_ @t45 @t1)))
% 0.51/0.72  (define @t48 () (@var "BOUND_VARIABLE_7573" (-> $$unsorted Bool)))
% 0.51/0.72  (define @t49 () (or (not (_ @t48 tptp.c1)) (not (forall @t36 (or (not (_ @t48 @t32)) (_ @t48 @t46)))) (_ @t48 @t2)))
% 0.51/0.72  (define @t50 () (and @t49 @t47))
% 0.51/0.72  (define @t51 () (tptp.s @t12))
% 0.51/0.72  (define @t52 () (tptp.s @t14))
% 0.51/0.72  (define @t53 () (_ @t10 @t52 @t51))
% 0.51/0.72  (define @t54 () (tptp.s @t52))
% 0.51/0.72  (define @t55 () (_ @t10 @t54 @t12))
% 0.51/0.72  (define @t56 () (_ @t10 @t14 @t12))
% 0.51/0.72  (define @t57 () (forall @t21 (or (not @t56) (and @t55 @t53))))
% 0.51/0.72  (define @t58 () (not @t57))
% 0.51/0.72  (define @t59 () (_ @t10 tptp.c1 tptp.c1))
% 0.51/0.72  (define @t60 () (not @t59))
% 0.51/0.72  (define @t61 () (forall @t26 (or @t60 @t58 (_ @t10 @t2 @t1))))
% 0.51/0.72  (define @t62 () (not @t61))
% 0.51/0.72  (define @t63 () (or @t62 @t50))
% 0.51/0.72  (define @t64 () (forall (@list @t2 @t1 @t48 @t45) @t63))
% 0.51/0.72  (define @t65 () (@list @t48 @t45))
% 0.51/0.72  (define @t66 () (forall @t65 @t63))
% 0.51/0.72  (define @t67 () (forall (@list @t45) @t47))
% 0.51/0.72  (define @t68 () (@list @t30))
% 0.51/0.72  (define @t69 () (forall @t65 @t47))
% 0.51/0.72  (define @t70 () (forall (@list @t48) @t49))
% 0.51/0.72  (define @t71 () (forall @t65 @t49))
% 0.51/0.72  (define @t72 () (and @t71 @t69))
% 0.51/0.72  (define @t73 () (forall @t65 @t50))
% 0.51/0.72  (define @t74 () (or @t62 @t73))
% 0.51/0.72  (define @t75 () (_ @t30 @t46))
% 0.51/0.72  (define @t76 () (_ @t30 @t32))
% 0.51/0.72  (define @t77 () (forall @t36 (or (not @t76) @t75)))
% 0.51/0.72  (define @t78 () (not @t77))
% 0.51/0.72  (define @t79 () (_ @t30 tptp.c1))
% 0.51/0.72  (define @t80 () (not @t79))
% 0.51/0.72  (define @t81 () (forall @t41 (or @t80 @t78 (_ @t30 @t1))))
% 0.51/0.72  (define @t82 () (_ @t30 @t2))
% 0.51/0.72  (define @t83 () (forall @t41 (or @t80 @t78 @t82)))
% 0.51/0.72  (define @t84 () (and @t83 @t81))
% 0.51/0.72  (define @t85 () (lambda @t43 @t83))
% 0.51/0.72  (define @t86 () (_ @t85 @t1))
% 0.51/0.72  (define @t87 () (_ @t85 @t2))
% 0.51/0.72  (define @t88 () (and @t87 @t86))
% 0.51/0.72  (define @t89 () (lambda (@list @t8) (forall @t26 (or @t60 @t58 (_ @t10 @t2 @t8)))))
% 0.51/0.72  (define @t90 () (_ @t10 @t9 @t8))
% 0.51/0.72  (define @t91 () (_ (lambda @t28 (forall @t26 (or @t60 @t58 @t90))) @t2))
% 0.51/0.72  (define @t92 () (=> (_ @t91 @t1) @t88))
% 0.51/0.72  (define @t93 () (forall @t5 @t92))
% 0.51/0.72  (define @t94 () (not @t38))
% 0.51/0.72  (define @t95 () (or @t94 @t78 @t31))
% 0.51/0.72  (define @t96 () (and @t38 @t77))
% 0.51/0.72  (define @t97 () (not @t35))
% 0.51/0.72  (define @t98 () (or @t97 @t34))
% 0.51/0.72  (define @t99 () (not @t23))
% 0.51/0.72  (define @t100 () (or @t99 @t58 @t11))
% 0.51/0.72  (define @t101 () (and @t23 @t57))
% 0.51/0.72  (define @t102 () (not @t20))
% 0.51/0.72  (define @t103 () (or @t102 @t19))
% 0.51/0.72  (define @t104 () (@quantifiers_skolemize @t64 1))
% 0.51/0.72  (define @t105 () (@quantifiers_skolemize @t64 0))
% 0.51/0.72  (define @t106 () (forall @t26 (or @t60 @t58 (_ @t10 @t105 @t104))))
% 0.51/0.72  (define @t107 () (@quantifiers_skolemize @t64 3))
% 0.51/0.72  (define @t108 () (_ @t107 @t104))
% 0.51/0.72  (define @t109 () (forall @t36 (or (not (_ @t107 @t32)) (_ @t107 @t46))))
% 0.51/0.72  (define @t110 () (not @t109))
% 0.51/0.72  (define @t111 () (_ @t107 tptp.c1))
% 0.51/0.72  (define @t112 () (not @t111))
% 0.51/0.72  (define @t113 () (or @t112 @t110 @t108))
% 0.51/0.72  (define @t114 () (@quantifiers_skolemize @t64 2))
% 0.51/0.72  (define @t115 () (_ @t114 @t105))
% 0.51/0.72  (define @t116 () (forall @t36 (or (not (_ @t114 @t32)) (_ @t114 @t46))))
% 0.51/0.72  (define @t117 () (not @t116))
% 0.51/0.72  (define @t118 () (_ @t114 tptp.c1))
% 0.51/0.72  (define @t119 () (not @t118))
% 0.51/0.72  (define @t120 () (or @t119 @t117 @t115))
% 0.51/0.72  (define @t121 () (and @t120 @t113))
% 0.51/0.72  (define @t122 () (not @t106))
% 0.51/0.72  (define @t123 () (or @t122 @t121))
% 0.51/0.72  (define @t124 () (@list true))
% 0.51/0.72  (define @t125 () (@list @t123))
% 0.51/0.72  (define @t126 () (@var "BOUND_VARIABLE_22057" $$unsorted))
% 0.51/0.72  (define @t127 () (@var "BOUND_VARIABLE_22058" $$unsorted))
% 0.51/0.72  (define @t128 () (@list @t126 @t127))
% 0.51/0.72  (define @t129 () (lambda @t128 (_ @t114 @t126)))
% 0.51/0.72  (define @t130 () (_ @t129 @t105 @t104))
% 0.51/0.72  (define @t131 () (_ @t114 @t52))
% 0.51/0.72  (define @t132 () (_ @t114 @t54))
% 0.51/0.72  (define @t133 () (_ @t114 @t14))
% 0.51/0.72  (define @t134 () (or (not @t133) (and @t132 @t131)))
% 0.51/0.72  (define @t135 () (forall (@list @t14) @t134))
% 0.51/0.72  (define @t136 () (_ @t129 @t52 @t51))
% 0.51/0.72  (define @t137 () (_ @t129 @t54 @t12))
% 0.51/0.72  (define @t138 () (and @t137 @t136))
% 0.51/0.72  (define @t139 () (_ @t129 @t14 @t12))
% 0.51/0.72  (define @t140 () (not @t139))
% 0.51/0.72  (define @t141 () (or @t140 @t138))
% 0.51/0.72  (define @t142 () (forall @t21 @t141))
% 0.51/0.72  (define @t143 () (not @t142))
% 0.51/0.72  (define @t144 () (_ @t129 tptp.c1 tptp.c1))
% 0.51/0.72  (define @t145 () (not @t144))
% 0.51/0.72  (define @t146 () (or @t145 @t143 @t130))
% 0.51/0.72  (define @t147 () (not @t135))
% 0.51/0.72  (define @t148 () (or @t119 @t147 @t115))
% 0.51/0.72  (define @t149 () (@list false))
% 0.51/0.72  (define @t150 () (@list @t106))
% 0.51/0.72  (define @t151 () (lambda @t128 (_ @t107 @t127)))
% 0.51/0.72  (define @t152 () (_ @t151 @t105 @t104))
% 0.51/0.72  (define @t153 () (_ @t107 @t51))
% 0.51/0.72  (define @t154 () (_ @t107 @t12))
% 0.51/0.72  (define @t155 () (or (not @t154) (and @t154 @t153)))
% 0.51/0.72  (define @t156 () (forall (@list @t12) @t155))
% 0.51/0.72  (define @t157 () (_ @t151 @t52 @t51))
% 0.51/0.72  (define @t158 () (_ @t151 @t54 @t12))
% 0.51/0.72  (define @t159 () (and @t158 @t157))
% 0.51/0.72  (define @t160 () (_ @t151 @t14 @t12))
% 0.51/0.72  (define @t161 () (not @t160))
% 0.51/0.72  (define @t162 () (or @t161 @t159))
% 0.51/0.72  (define @t163 () (forall @t21 @t162))
% 0.51/0.72  (define @t164 () (not @t163))
% 0.51/0.72  (define @t165 () (_ @t151 tptp.c1 tptp.c1))
% 0.51/0.72  (define @t166 () (not @t165))
% 0.51/0.72  (define @t167 () (or @t166 @t164 @t152))
% 0.51/0.72  (define @t168 () (not @t156))
% 0.51/0.72  (define @t169 () (or @t112 @t168 @t108))
% 0.51/0.72  (define @t170 () (@quantifiers_skolemize @t156 0))
% 0.51/0.72  (define @t171 () (_ @t107 (tptp.s @t170)))
% 0.51/0.72  (define @t172 () (_ @t107 @t170))
% 0.51/0.72  (define @t173 () (and @t172 @t171))
% 0.51/0.72  (define @t174 () (not @t172))
% 0.51/0.72  (define @t175 () (or @t174 @t173))
% 0.51/0.72  (define @t176 () (not @t175))
% 0.51/0.72  (define @t177 () (or @t174 @t171))
% 0.51/0.72  (define @t178 () (@list @t120))
% 0.51/0.72  (define @t179 () (@quantifiers_skolemize @t135 0))
% 0.51/0.72  (define @t180 () (tptp.s @t179))
% 0.51/0.72  (define @t181 () (_ @t114 (tptp.s @t180)))
% 0.51/0.72  (define @t182 () (_ @t114 @t180))
% 0.51/0.72  (define @t183 () (not @t182))
% 0.51/0.72  (define @t184 () (or @t183 @t181))
% 0.51/0.72  (define @t185 () (@list @t116))
% 0.51/0.72  (define @t186 () (_ @t114 @t179))
% 0.51/0.72  (define @t187 () (not @t186))
% 0.51/0.72  (define @t188 () (or @t187 @t182))
% 0.51/0.72  (define @t189 () (and @t181 @t182))
% 0.51/0.72  (define @t190 () (or @t187 @t189))
% 0.51/0.72  (define @t191 () (not @t188))
% 0.51/0.72  (define @t192 () (not @t184))
% 0.51/0.72  (define @t193 () (not @t190))
% 0.51/0.72  (assume @p1 @t7)
% 0.51/0.72  (assume @p2 true)
% 0.51/0.72  (step @p3 (= tptp.cCKB6_BLACK @t29) :rule refl :args (@t29))
% 0.51/0.72  (step @p4 (= tptp.cCKB6_NUM @t44) :rule refl :args (@t44))
% 0.51/0.72  (step @p5 :rule quant-merge-prenex :args ((= (forall @t5 @t66) @t64)))
% 0.51/0.72  (step @p6 :rule alpha_equiv :args (@t67 (@list @t45) @t68))
% 0.51/0.72  (step @p7 :rule quant-unused-vars :args ((= @t69 @t67)))
% 0.51/0.72  (step @p8 :rule trans :premises (@p7 @p6))
% 0.51/0.72  (step @p9 :rule alpha_equiv :args (@t70 (@list @t48) @t68))
% 0.51/0.72  (step @p10 :rule quant-unused-vars :args ((= @t71 @t70)))
% 0.51/0.72  (step @p11 :rule trans :premises (@p10 @p9))
% 0.51/0.72  (step @p12 :rule nary_cong :premises (@p11 @p8) :args (@t72))
% 0.51/0.72  (step @p13 :rule quant-miniscope-and :args ((= @t73 @t72)))
% 0.51/0.72  (step @p14 :rule trans :premises (@p13 @p12))
% 0.51/0.72  (step @p15 :rule refl :args (@t62))
% 0.51/0.72  (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t74))
% 0.51/0.72  (step @p17 :rule quant-miniscope-or :args ((= @t66 @t74)))
% 0.51/0.72  (step @p18 :rule trans :premises (@p17 @p16))
% 0.51/0.72  (step @p19 :rule symm :premises (@p18))
% 0.51/0.72  (step @p20 :rule cong :premises (@p19) :args ((forall @t5 (or @t62 @t84))))
% 0.51/0.72  (step @p21 :rule trans :premises (@p20 @p5))
% 0.51/0.72  (step @p22 :rule bool-impl-elim :args (@t61 @t84))
% 0.51/0.72  (step @p23 :rule cong :premises (@p22) :args ((forall @t5 (=> @t61 @t84))))
% 0.51/0.72  (step @p24 :rule trans :premises (@p23 @p21))
% 0.51/0.72  (step @p25 :rule beta-reduce :args ((= @t86 @t81)))
% 0.51/0.72  (step @p26 :rule beta-reduce :args ((= @t87 @t83)))
% 0.51/0.72  (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t88))
% 0.51/0.72  (step @p28 :rule beta-reduce :args ((= (_ @t89 @t1) @t61)))
% 0.51/0.72  (step @p29 :rule refl :args (@t1))
% 0.51/0.72  (step @p30 :rule beta-reduce :args ((= @t91 @t89)))
% 0.51/0.72  (step @p31 :rule ho_cong :premises (@p30 @p29))
% 0.51/0.72  (step @p32 :rule trans :premises (@p31 @p28))
% 0.51/0.72  (step @p33 :rule cong :premises (@p32 @p27) :args (@t92))
% 0.51/0.72  (step @p34 :rule cong :premises (@p33) :args (@t93))
% 0.51/0.72  (step @p35 :rule trans :premises (@p34 @p24))
% 0.51/0.72  (step @p36 :rule cong :premises (@p35) :args ((not @t93)))
% 0.51/0.72  (step @p37 :rule refl :args (@t82))
% 0.51/0.72  (step @p38 :rule refl :args (@t31))
% 0.51/0.72  (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t31 @t82)))
% 0.51/0.72  (step @p40 :rule symm :premises (@p39))
% 0.51/0.72  (step @p41 :rule eq_resolve :premises (@p38 @p40))
% 0.51/0.72  (step @p42 :rule refl :args (@t78))
% 0.51/0.72  (step @p43 :rule refl :args (@t79))
% 0.51/0.72  (step @p44 :rule refl :args (@t38))
% 0.51/0.72  (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t38 @t79)))
% 0.51/0.72  (step @p46 :rule symm :premises (@p45))
% 0.51/0.72  (step @p47 :rule eq_resolve :premises (@p44 @p46))
% 0.51/0.72  (step @p48 :rule cong :premises (@p47) :args (@t94))
% 0.51/0.72  (step @p49 :rule nary_cong :premises (@p48 @p42 @p41) :args (@t95))
% 0.51/0.72  (step @p50 :rule cong :premises (@p49) :args ((forall @t41 @t95)))
% 0.51/0.72  (step @p51 :rule aci_norm :args ((= (or (or @t94 @t78) @t31) @t95)))
% 0.51/0.72  (step @p52 :rule bool-and-de-morgan :args (@t38 @t77 true))
% 0.51/0.72  (step @p53 :rule nary_cong :premises (@p52 @p38) :args ((or (not @t96) @t31)))
% 0.51/0.72  (step @p54 :rule trans :premises (@p53 @p51))
% 0.51/0.72  (step @p55 :rule bool-impl-elim :args (@t96 @t31))
% 0.51/0.72  (step @p56 :rule trans :premises (@p55 @p54))
% 0.51/0.72  (step @p57 :rule cong :premises (@p56) :args ((forall @t41 (=> @t96 @t31))))
% 0.51/0.72  (step @p58 :rule trans :premises (@p57 @p50))
% 0.51/0.72  (step @p59 :rule refl :args (@t31))
% 0.51/0.72  (step @p60 :rule refl :args ((_ @t30 @t33)))
% 0.51/0.72  (step @p61 :rule refl :args (@t46))
% 0.51/0.72  (step @p62 :rule cong :premises (@p61) :args (@t75))
% 0.51/0.72  (step @p63 :rule trans :premises (@p62 @p60))
% 0.51/0.72  (step @p64 :rule refl :args (@t30))
% 0.51/0.72  (step @p65 :rule ho_cong :premises (@p64 @p61))
% 0.51/0.72  (step @p66 :rule cong :premises (@p65 @p63) :args ((= (_ @t30 @t46) @t75)))
% 0.51/0.72  (step @p67 :rule symm :premises (@p66))
% 0.51/0.72  (step @p68 :rule refl :args (@t34))
% 0.51/0.72  (step @p69 :rule eq_resolve :premises (@p68 @p67))
% 0.51/0.72  (step @p70 :rule refl :args (@t33))
% 0.51/0.72  (step @p71 :rule cong :premises (@p70 @p61) :args ((= @t33 @t46)))
% 0.51/0.72  (step @p72 :rule symm :premises (@p71))
% 0.51/0.72  (step @p73 :rule eq_resolve :premises (@p70 @p72))
% 0.51/0.72  (step @p74 :rule ho_cong :premises (@p64 @p73))
% 0.51/0.72  (step @p75 :rule trans :premises (@p74 @p69))
% 0.51/0.72  (step @p76 :rule refl :args (@t76))
% 0.51/0.72  (step @p77 :rule refl :args (@t35))
% 0.51/0.72  (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t35 @t76)))
% 0.51/0.72  (step @p79 :rule symm :premises (@p78))
% 0.51/0.72  (step @p80 :rule eq_resolve :premises (@p77 @p79))
% 0.51/0.72  (step @p81 :rule cong :premises (@p80) :args (@t97))
% 0.51/0.72  (step @p82 :rule nary_cong :premises (@p81 @p75) :args (@t98))
% 0.51/0.72  (step @p83 :rule cong :premises (@p82) :args ((forall @t36 @t98)))
% 0.51/0.72  (step @p84 :rule bool-impl-elim :args (@t35 @t34))
% 0.51/0.72  (step @p85 :rule cong :premises (@p84) :args (@t37))
% 0.51/0.72  (step @p86 :rule trans :premises (@p85 @p83))
% 0.51/0.72  (step @p87 :rule refl :args (@t38))
% 0.51/0.72  (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t39))
% 0.51/0.72  (step @p89 :rule cong :premises (@p88 @p59) :args (@t40))
% 0.51/0.72  (step @p90 :rule cong :premises (@p89) :args (@t42))
% 0.51/0.72  (step @p91 :rule trans :premises (@p90 @p58))
% 0.51/0.72  (step @p92 :rule cong :premises (@p91) :args (@t44))
% 0.51/0.72  (step @p93 :rule trans :premises (@p4 @p92))
% 0.51/0.72  (step @p94 :rule ho_cong :premises (@p93 @p29))
% 0.51/0.72  (step @p95 :rule refl :args (@t2))
% 0.51/0.72  (step @p96 :rule ho_cong :premises (@p93 @p95))
% 0.51/0.72  (step @p97 :rule nary_cong :premises (@p96 @p94) :args (@t3))
% 0.51/0.72  (step @p98 :rule refl :args (@t90))
% 0.51/0.72  (step @p99 :rule refl :args (@t11))
% 0.51/0.72  (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t11 @t90)))
% 0.51/0.72  (step @p101 :rule symm :premises (@p100))
% 0.51/0.72  (step @p102 :rule eq_resolve :premises (@p99 @p101))
% 0.51/0.72  (step @p103 :rule refl :args (@t58))
% 0.51/0.72  (step @p104 :rule refl :args (@t59))
% 0.51/0.72  (step @p105 :rule refl :args (@t23))
% 0.51/0.72  (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t23 @t59)))
% 0.51/0.72  (step @p107 :rule symm :premises (@p106))
% 0.51/0.72  (step @p108 :rule eq_resolve :premises (@p105 @p107))
% 0.51/0.72  (step @p109 :rule cong :premises (@p108) :args (@t99))
% 0.51/0.72  (step @p110 :rule nary_cong :premises (@p109 @p103 @p102) :args (@t100))
% 0.51/0.72  (step @p111 :rule cong :premises (@p110) :args ((forall @t26 @t100)))
% 0.51/0.72  (step @p112 :rule aci_norm :args ((= (or (or @t99 @t58) @t11) @t100)))
% 0.51/0.72  (step @p113 :rule bool-and-de-morgan :args (@t23 @t57 true))
% 0.51/0.72  (step @p114 :rule nary_cong :premises (@p113 @p99) :args ((or (not @t101) @t11)))
% 0.51/0.72  (step @p115 :rule trans :premises (@p114 @p112))
% 0.51/0.72  (step @p116 :rule bool-impl-elim :args (@t101 @t11))
% 0.51/0.72  (step @p117 :rule trans :premises (@p116 @p115))
% 0.51/0.72  (step @p118 :rule cong :premises (@p117) :args ((forall @t26 (=> @t101 @t11))))
% 0.51/0.72  (step @p119 :rule trans :premises (@p118 @p111))
% 0.51/0.72  (step @p120 :rule refl :args (@t11))
% 0.51/0.72  (step @p121 :rule refl :args ((_ @t10 @t15 @t13)))
% 0.51/0.72  (step @p122 :rule refl :args (@t51))
% 0.51/0.72  (step @p123 :rule refl :args (@t52))
% 0.51/0.72  (step @p124 :rule cong :premises (@p123 @p122) :args (@t53))
% 0.51/0.72  (step @p125 :rule trans :premises (@p124 @p121))
% 0.51/0.72  (step @p126 :rule refl :args (@t10))
% 0.51/0.72  (step @p127 :rule ho_cong :premises (@p126 @p123))
% 0.51/0.72  (step @p128 :rule ho_cong :premises (@p127 @p122))
% 0.51/0.72  (step @p129 :rule cong :premises (@p128 @p125) :args ((= (_ (_ @t10 @t52) @t51) @t53)))
% 0.51/0.72  (step @p130 :rule symm :premises (@p129))
% 0.51/0.72  (step @p131 :rule refl :args (@t16))
% 0.51/0.72  (step @p132 :rule eq_resolve :premises (@p131 @p130))
% 0.51/0.72  (step @p133 :rule refl :args (@t13))
% 0.51/0.72  (step @p134 :rule cong :premises (@p133 @p122) :args ((= @t13 @t51)))
% 0.51/0.72  (step @p135 :rule symm :premises (@p134))
% 0.51/0.72  (step @p136 :rule eq_resolve :premises (@p133 @p135))
% 0.51/0.72  (step @p137 :rule refl :args (@t15))
% 0.51/0.72  (step @p138 :rule cong :premises (@p137 @p123) :args ((= @t15 @t52)))
% 0.51/0.72  (step @p139 :rule symm :premises (@p138))
% 0.51/0.72  (step @p140 :rule eq_resolve :premises (@p137 @p139))
% 0.51/0.72  (step @p141 :rule ho_cong :premises (@p126 @p140))
% 0.51/0.72  (step @p142 :rule ho_cong :premises (@p141 @p136))
% 0.51/0.72  (step @p143 :rule trans :premises (@p142 @p132))
% 0.51/0.72  (step @p144 :rule refl :args ((_ @t10 @t17 @t12)))
% 0.51/0.72  (step @p145 :rule refl :args (@t12))
% 0.51/0.72  (step @p146 :rule refl :args ((tptp.s @t15)))
% 0.51/0.72  (step @p147 :rule cong :premises (@p123) :args (@t54))
% 0.51/0.72  (step @p148 :rule trans :premises (@p147 @p146))
% 0.51/0.72  (step @p149 :rule cong :premises (@p148 @p145) :args (@t55))
% 0.51/0.72  (step @p150 :rule trans :premises (@p149 @p144))
% 0.51/0.72  (step @p151 :rule ho_cong :premises (@p126 @p148))
% 0.51/0.72  (step @p152 :rule ho_cong :premises (@p151 @p145))
% 0.51/0.72  (step @p153 :rule cong :premises (@p152 @p150) :args ((= (_ (_ @t10 @t54) @t12) @t55)))
% 0.51/0.72  (step @p154 :rule symm :premises (@p153))
% 0.51/0.72  (step @p155 :rule refl :args (@t18))
% 0.51/0.72  (step @p156 :rule eq_resolve :premises (@p155 @p154))
% 0.51/0.72  (step @p157 :rule refl :args (tptp.s))
% 0.51/0.72  (step @p158 :rule ho_cong :premises (@p157 @p123))
% 0.51/0.72  (step @p159 :rule cong :premises (@p158 @p148) :args ((= (_ tptp.s @t52) @t54)))
% 0.51/0.72  (step @p160 :rule symm :premises (@p159))
% 0.51/0.72  (step @p161 :rule refl :args (@t17))
% 0.51/0.72  (step @p162 :rule eq_resolve :premises (@p161 @p160))
% 0.51/0.72  (step @p163 :rule ho_cong :premises (@p157 @p140))
% 0.51/0.72  (step @p164 :rule trans :premises (@p163 @p162))
% 0.51/0.72  (step @p165 :rule ho_cong :premises (@p126 @p164))
% 0.51/0.72  (step @p166 :rule ho_cong :premises (@p165 @p145))
% 0.51/0.72  (step @p167 :rule trans :premises (@p166 @p156))
% 0.51/0.72  (step @p168 :rule nary_cong :premises (@p167 @p143) :args (@t19))
% 0.51/0.72  (step @p169 :rule refl :args (@t56))
% 0.51/0.72  (step @p170 :rule refl :args (@t20))
% 0.51/0.72  (step @p171 :rule cong :premises (@p170 @p169) :args ((= @t20 @t56)))
% 0.51/0.72  (step @p172 :rule symm :premises (@p171))
% 0.51/0.72  (step @p173 :rule eq_resolve :premises (@p170 @p172))
% 0.51/0.72  (step @p174 :rule cong :premises (@p173) :args (@t102))
% 0.51/0.72  (step @p175 :rule nary_cong :premises (@p174 @p168) :args (@t103))
% 0.51/0.72  (step @p176 :rule cong :premises (@p175) :args ((forall @t21 @t103)))
% 0.51/0.72  (step @p177 :rule bool-impl-elim :args (@t20 @t19))
% 0.51/0.72  (step @p178 :rule cong :premises (@p177) :args (@t22))
% 0.51/0.72  (step @p179 :rule trans :premises (@p178 @p176))
% 0.51/0.72  (step @p180 :rule refl :args (@t23))
% 0.51/0.72  (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t24))
% 0.51/0.72  (step @p182 :rule cong :premises (@p181 @p120) :args (@t25))
% 0.51/0.72  (step @p183 :rule cong :premises (@p182) :args (@t27))
% 0.51/0.72  (step @p184 :rule trans :premises (@p183 @p119))
% 0.51/0.72  (step @p185 :rule cong :premises (@p184) :args (@t29))
% 0.51/0.72  (step @p186 :rule trans :premises (@p3 @p185))
% 0.51/0.72  (step @p187 :rule ho_cong :premises (@p186 @p95))
% 0.51/0.72  (step @p188 :rule ho_cong :premises (@p187 @p29))
% 0.51/0.72  (step @p189 :rule cong :premises (@p188 @p97) :args (@t4))
% 0.51/0.72  (step @p190 :rule cong :premises (@p189) :args (@t6))
% 0.51/0.72  (step @p191 :rule cong :premises (@p190) :args (@t7))
% 0.51/0.72  (step @p192 :rule trans :premises (@p191 @p36))
% 0.51/0.72  (step @p193 :rule eq_resolve :premises (@p1 @p192))
% 0.51/0.72  (step @p194 :rule skolemize :premises (@p193))
% 0.51/0.72  (step @p195 :rule bool-double-not-elim :args (@t106))
% 0.51/0.72  (step @p196 :rule refl :args (@t123))
% 0.51/0.72  (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t123 (not @t122))))
% 0.51/0.72  (step @p198 :rule cnf_or_neg :args (@t123 0))
% 0.51/0.72  (step @p199 :rule eq_resolve :premises (@p198 @p197))
% 0.51/0.72  (step @p200 :rule reordering :premises (@p199) :args ((or @t106 @t123)))
% 0.51/0.72  (step @p201 :rule chain_m_resolution :premises (@p200 @p194) :args (@t106 @t124 @t125))
% 0.51/0.72  (step @p202 :rule beta-reduce :args ((= @t130 @t115)))
% 0.51/0.72  (step @p203 :rule quant-unused-vars :args ((= (forall @t21 @t134) @t135)))
% 0.51/0.72  (step @p204 :rule beta-reduce :args ((= @t136 @t131)))
% 0.51/0.72  (step @p205 :rule beta-reduce :args ((= @t137 @t132)))
% 0.51/0.72  (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t138))
% 0.51/0.72  (step @p207 :rule beta-reduce :args ((= @t139 @t133)))
% 0.51/0.72  (step @p208 :rule cong :premises (@p207) :args (@t140))
% 0.51/0.72  (step @p209 :rule nary_cong :premises (@p208 @p206) :args (@t141))
% 0.51/0.72  (step @p210 :rule cong :premises (@p209) :args (@t142))
% 0.51/0.72  (step @p211 :rule trans :premises (@p210 @p203))
% 0.51/0.72  (step @p212 :rule cong :premises (@p211) :args (@t143))
% 0.51/0.72  (step @p213 :rule beta-reduce :args ((= @t144 @t118)))
% 0.51/0.72  (step @p214 :rule cong :premises (@p213) :args (@t145))
% 0.51/0.72  (step @p215 :rule nary_cong :premises (@p214 @p212 @p202) :args (@t146))
% 0.51/0.72  (step @p216 :rule refl :args (@t106))
% 0.51/0.72  (step @p217 :rule cong :premises (@p216 @p215) :args ((=> @t106 @t146)))
% 0.51/0.72  (assume-push @p345 @t106)
% 0.51/0.72  (step @p219 :rule instantiate :premises (@p201) :args ((@list @t129)))
% 0.51/0.72  (step-pop @p346 :rule scope :premises (@p219))
% 0.51/0.72  (step @p220 :rule process_scope :premises (@p346) :args (@t146))
% 0.51/0.72  (step @p222 :rule eq_resolve :premises (@p220 @p217))
% 0.51/0.72  (step @p223 :rule implies_elim :premises (@p222))
% 0.51/0.72  (step @p224 :rule chain_m_resolution :premises (@p223 @p201) :args (@t148 @t149 @t150))
% 0.51/0.72  (step @p225 :rule bool-double-not-elim :args (@t111))
% 0.51/0.72  (step @p226 :rule refl :args (@t113))
% 0.51/0.72  (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or @t113 (not @t112))))
% 0.51/0.72  (step @p228 :rule cnf_or_neg :args (@t113 0))
% 0.51/0.72  (step @p229 :rule eq_resolve :premises (@p228 @p227))
% 0.51/0.72  (step @p230 :rule reordering :premises (@p229) :args ((or @t111 @t113)))
% 0.51/0.72  (step @p231 :rule bool-double-not-elim :args (@t109))
% 0.51/0.72  (step @p232 :rule nary_cong :premises (@p226 @p231) :args ((or @t113 (not @t110))))
% 0.51/0.72  (step @p233 :rule cnf_or_neg :args (@t113 1))
% 0.51/0.72  (step @p234 :rule eq_resolve :premises (@p233 @p232))
% 0.51/0.72  (step @p235 :rule reordering :premises (@p234) :args ((or @t109 @t113)))
% 0.51/0.72  (step @p236 :rule cnf_or_neg :args (@t113 2))
% 0.51/0.72  (step @p237 :rule beta-reduce :args ((= @t152 @t108)))
% 0.51/0.72  (step @p238 :rule quant-unused-vars :args ((= (forall @t21 @t155) @t156)))
% 0.51/0.72  (step @p239 :rule beta-reduce :args ((= @t157 @t153)))
% 0.51/0.72  (step @p240 :rule beta-reduce :args ((= @t158 @t154)))
% 0.51/0.72  (step @p241 :rule nary_cong :premises (@p240 @p239) :args (@t159))
% 0.51/0.72  (step @p242 :rule beta-reduce :args ((= @t160 @t154)))
% 0.51/0.72  (step @p243 :rule cong :premises (@p242) :args (@t161))
% 0.51/0.72  (step @p244 :rule nary_cong :premises (@p243 @p241) :args (@t162))
% 0.51/0.72  (step @p245 :rule cong :premises (@p244) :args (@t163))
% 0.51/0.72  (step @p246 :rule trans :premises (@p245 @p238))
% 0.51/0.72  (step @p247 :rule cong :premises (@p246) :args (@t164))
% 0.51/0.72  (step @p248 :rule beta-reduce :args ((= @t165 @t111)))
% 0.51/0.72  (step @p249 :rule cong :premises (@p248) :args (@t166))
% 0.51/0.72  (step @p250 :rule nary_cong :premises (@p249 @p247 @p237) :args (@t167))
% 0.51/0.72  (step @p251 :rule cong :premises (@p216 @p250) :args ((=> @t106 @t167)))
% 0.51/0.72  (assume-push @p347 @t106)
% 0.51/0.72  (step @p253 :rule instantiate :premises (@p201) :args ((@list @t151)))
% 0.51/0.72  (step-pop @p348 :rule scope :premises (@p253))
% 0.51/0.72  (step @p254 :rule process_scope :premises (@p348) :args (@t167))
% 0.51/0.72  (step @p256 :rule eq_resolve :premises (@p254 @p251))
% 0.51/0.72  (step @p257 :rule implies_elim :premises (@p256))
% 0.51/0.72  (step @p258 :rule chain_m_resolution :premises (@p257 @p201) :args (@t169 @t149 @t150))
% 0.51/0.72  (step @p259 :rule cnf_or_pos :args (@t169))
% 0.51/0.72  (step @p260 :rule reordering :premises (@p259) :args ((or @t112 @t108 @t168 (not @t169))))
% 0.51/0.72  (step @p261 :rule refl :args (@t176))
% 0.51/0.72  (step @p262 :rule bool-double-not-elim :args (@t156))
% 0.51/0.72  (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or (not @t168) @t176)))
% 0.51/0.72  (assume-push @p349 @t168)
% 0.51/0.72  (step @p265 :rule skolemize :premises (@p349))
% 0.51/0.72  (step-pop @p350 :rule scope :premises (@p265))
% 0.51/0.72  (step @p266 :rule process_scope :premises (@p350) :args (@t176))
% 0.51/0.72  (step @p268 :rule implies_elim :premises (@p266))
% 0.51/0.72  (step @p269 :rule eq_resolve :premises (@p268 @p263))
% 0.51/0.72  (step @p270 :rule bool-double-not-elim :args (@t172))
% 0.51/0.72  (step @p271 :rule refl :args (@t175))
% 0.51/0.72  (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or @t175 (not @t174))))
% 0.51/0.72  (step @p273 :rule cnf_or_neg :args (@t175 0))
% 0.51/0.72  (step @p274 :rule eq_resolve :premises (@p273 @p272))
% 0.51/0.72  (step @p275 :rule reordering :premises (@p274) :args ((or @t172 @t175)))
% 0.51/0.72  (step @p276 :rule cnf_or_neg :args (@t175 1))
% 0.51/0.72  (step @p277 :rule cnf_and_neg :args (@t173))
% 0.51/0.72  (step @p278 :rule reordering :premises (@p277) :args ((or @t174 @t173 (not @t171))))
% 0.51/0.72  (step @p279 :rule cnf_or_pos :args (@t177))
% 0.51/0.72  (step @p280 :rule reordering :premises (@p279) :args ((or @t174 @t171 (not @t177))))
% 0.51/0.72  (assume-push @p351 @t109)
% 0.51/0.72  (step @p282 :rule instantiate :premises (@p351) :args ((@list @t170)))
% 0.51/0.72  (step-pop @p352 :rule scope :premises (@p282))
% 0.51/0.72  (step @p283 :rule process_scope :premises (@p352) :args (@t177))
% 0.51/0.72  (step @p285 :rule implies_elim :premises (@p283))
% 0.51/0.72  (step @p286 :rule chain_m_resolution :premises (@p285 @p280 @p278 @p276 @p275 @p269 @p260 @p258 @p236 @p235 @p230) :args (@t113 (@list true true true false true true false true false false) (@list @t177 @t171 @t173 @t172 @t175 @t156 @t169 @t108 @t109 @t111)))
% 0.51/0.72  (step @p287 :rule cnf_or_neg :args (@t123 1))
% 0.51/0.72  (step @p288 :rule chain_m_resolution :premises (@p287 @p194) :args ((not @t121) @t124 @t125))
% 0.51/0.72  (step @p289 :rule cnf_and_neg :args (@t121))
% 0.51/0.72  (step @p290 :rule chain_m_resolution :premises (@p289 @p288 @p286) :args ((not @t120) (@list true false) (@list @t121 @t113)))
% 0.51/0.72  (step @p291 :rule cnf_or_neg :args (@t120 2))
% 0.51/0.72  (step @p292 :rule chain_m_resolution :premises (@p291 @p290) :args ((not @t115) @t124 @t178))
% 0.51/0.72  (step @p293 :rule bool-double-not-elim :args (@t118))
% 0.51/0.72  (step @p294 :rule refl :args (@t120))
% 0.51/0.72  (step @p295 :rule nary_cong :premises (@p294 @p293) :args ((or @t120 (not @t119))))
% 0.51/0.72  (step @p296 :rule cnf_or_neg :args (@t120 0))
% 0.51/0.72  (step @p297 :rule eq_resolve :premises (@p296 @p295))
% 0.51/0.72  (step @p298 :rule reordering :premises (@p297) :args ((or @t118 @t120)))
% 0.51/0.72  (step @p299 :rule chain_m_resolution :premises (@p298 @p290) :args (@t118 @t124 @t178))
% 0.51/0.72  (step @p300 :rule cnf_or_pos :args (@t148))
% 0.51/0.72  (step @p301 :rule reordering :premises (@p300) :args ((or @t119 @t115 @t147 (not @t148))))
% 0.51/0.72  (step @p302 :rule chain_m_resolution :premises (@p301 @p299 @p292 @p224) :args (@t147 (@list false true false) (@list @t118 @t115 @t148)))
% 0.51/0.72  (step @p303 :rule bool-double-not-elim :args (@t116))
% 0.51/0.72  (step @p304 :rule nary_cong :premises (@p294 @p303) :args ((or @t120 (not @t117))))
% 0.51/0.72  (step @p305 :rule cnf_or_neg :args (@t120 1))
% 0.51/0.72  (step @p306 :rule eq_resolve :premises (@p305 @p304))
% 0.51/0.72  (step @p307 :rule reordering :premises (@p306) :args ((or @t116 @t120)))
% 0.51/0.72  (step @p308 :rule chain_m_resolution :premises (@p307 @p290) :args (@t116 @t124 @t178))
% 0.51/0.72  (assume-push @p353 @t116)
% 0.51/0.72  (step @p310 :rule instantiate :premises (@p353) :args ((@list @t180)))
% 0.51/0.72  (step-pop @p354 :rule scope :premises (@p310))
% 0.51/0.72  (step @p311 :rule process_scope :premises (@p354) :args (@t184))
% 0.51/0.72  (step @p313 :rule implies_elim :premises (@p311))
% 0.51/0.72  (step @p314 :rule chain_m_resolution :premises (@p313 @p308) :args (@t184 @t149 @t185))
% 0.51/0.72  (assume-push @p355 @t116)
% 0.51/0.72  (step @p316 :rule instantiate :premises (@p355) :args ((@list @t179)))
% 0.51/0.72  (step-pop @p356 :rule scope :premises (@p316))
% 0.51/0.72  (step @p317 :rule process_scope :premises (@p356) :args (@t188))
% 0.51/0.72  (step @p319 :rule implies_elim :premises (@p317))
% 0.51/0.72  (step @p320 :rule chain_m_resolution :premises (@p319 @p308) :args (@t188 @t149 @t185))
% 0.51/0.72  (step @p321 :rule bool-double-not-elim :args (@t186))
% 0.51/0.72  (step @p322 :rule refl :args (@t190))
% 0.51/0.72  (step @p323 :rule nary_cong :premises (@p322 @p321) :args ((or @t190 (not @t187))))
% 0.51/0.72  (step @p324 :rule cnf_or_neg :args (@t190 0))
% 0.51/0.72  (step @p325 :rule eq_resolve :premises (@p324 @p323))
% 0.51/0.72  (step @p326 :rule reordering :premises (@p325) :args ((or @t186 @t190)))
% 0.51/0.72  (step @p327 :rule cnf_or_neg :args (@t190 1))
% 0.51/0.72  (step @p328 :rule cnf_or_pos :args (@t188))
% 0.51/0.72  (step @p329 :rule reordering :premises (@p328) :args ((or @t187 @t182 @t191)))
% 0.51/0.72  (step @p330 :rule cnf_and_neg :args (@t189))
% 0.51/0.72  (step @p331 :rule cnf_or_pos :args (@t184))
% 0.51/0.72  (step @p332 :rule reordering :premises (@p331) :args ((or @t181 @t183 @t192)))
% 0.51/0.72  (step @p333 :rule chain_m_resolution :premises (@p332 @p330 @p329 @p327 @p326) :args ((or @t190 @t191 @t192) (@list true false true false) (@list @t181 @t182 @t189 @t186)))
% 0.51/0.72  (step @p334 :rule chain_m_resolution :premises (@p333 @p320 @p314) :args (@t190 (@list false false) (@list @t188 @t184)))
% 0.51/0.72  (step @p335 :rule refl :args (@t193))
% 0.51/0.72  (step @p336 :rule bool-double-not-elim :args (@t135))
% 0.51/0.72  (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or (not @t147) @t193)))
% 0.51/0.72  (assume-push @p357 @t147)
% 0.51/0.72  (step @p339 :rule skolemize :premises (@p357))
% 0.51/0.72  (step-pop @p358 :rule scope :premises (@p339))
% 0.51/0.72  (step @p340 :rule process_scope :premises (@p358) :args (@t193))
% 0.51/0.72  (step @p342 :rule implies_elim :premises (@p340))
% 0.51/0.72  (step @p343 :rule eq_resolve :premises (@p342 @p337))
% 0.51/0.72  (step @p344 false :rule chain_m_resolution :premises (@p343 @p334 @p302) :args (false (@list false true) (@list @t190 @t135)))
% 0.51/0.72  )
% 0.51/0.72  % SZS output end Proof
% 0.51/0.72  % cvc5 exiting
%------------------------------------------------------------------------------