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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU768^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 08:53:06 AM UTC 2026

% Result   : Theorem 0.37s 0.59s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU768^2 : TPTP v9.2.1. Released v3.7.0.
% 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 : n026.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 17:51:10 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TH0
% 0.37/0.59  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.37/0.59  % SZS status Theorem
% 0.37/0.59  % SZS output start Proof
% 0.37/0.59  (
% 0.37/0.59  (declare-sort $$unsorted 0)
% 0.37/0.59  (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.59  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.37/0.59  (declare-const tptp.brelnall2 Bool)
% 0.37/0.59  (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.59  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.37/0.59  (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1)))))))
% 0.37/0.59  (define tptp.breln1 () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.breln _let_2) _let_2) _let_1)))))
% 0.37/0.59  (define @t1 () (@var "Xx" $$unsorted))
% 0.37/0.59  (define @t2 () (@var "Xphi" (-> $$unsorted Bool)))
% 0.37/0.59  (define @t3 () (_ @t2 @t1))
% 0.37/0.59  (define @t4 () (@var "R" $$unsorted))
% 0.37/0.59  (define @t5 () (_ tptp.in @t1))
% 0.37/0.59  (define @t6 () (_ @t5 @t4))
% 0.37/0.59  (define @t7 () (@list @t1))
% 0.37/0.59  (define @t8 () (forall @t7 (=> @t6 @t3)))
% 0.37/0.59  (define @t9 () (@var "Xy" $$unsorted))
% 0.37/0.59  (define @t10 () (_ (_ tptp.kpair @t1) @t9))
% 0.37/0.59  (define @t11 () (_ @t2 @t10))
% 0.37/0.59  (define @t12 () (_ (_ tptp.in @t10) @t4))
% 0.37/0.59  (define @t13 () (=> @t12 @t11))
% 0.37/0.59  (define @t14 () (@var "B" $$unsorted))
% 0.37/0.59  (define @t15 () (_ tptp.in @t9))
% 0.37/0.59  (define @t16 () (_ @t15 @t14))
% 0.37/0.59  (define @t17 () (@list @t9))
% 0.37/0.59  (define @t18 () (forall @t17 (=> @t16 @t13)))
% 0.37/0.59  (define @t19 () (@var "A" $$unsorted))
% 0.37/0.59  (define @t20 () (_ @t5 @t19))
% 0.37/0.59  (define @t21 () (=> @t20 @t18))
% 0.37/0.59  (define @t22 () (forall @t7 @t21))
% 0.37/0.59  (define @t23 () (=> @t22 @t8))
% 0.37/0.59  (define @t24 () (@list @t2))
% 0.37/0.59  (define @t25 () (forall @t24 @t23))
% 0.37/0.59  (define @t26 () (_ tptp.breln @t19))
% 0.37/0.59  (define @t27 () (=> (_ (_ @t26 @t14) @t4) @t25))
% 0.37/0.59  (define @t28 () (@list @t19 @t14 @t4))
% 0.37/0.59  (define @t29 () (forall @t28 @t27))
% 0.37/0.59  (define @t30 () (= tptp.brelnall2 @t29))
% 0.37/0.59  (define @t31 () (_ @t15 @t19))
% 0.37/0.59  (define @t32 () (forall @t17 (=> @t31 @t13)))
% 0.37/0.59  (define @t33 () (=> @t20 @t32))
% 0.37/0.59  (define @t34 () (forall @t7 @t33))
% 0.37/0.59  (define @t35 () (=> @t34 @t8))
% 0.37/0.59  (define @t36 () (forall @t24 @t35))
% 0.37/0.59  (define @t37 () (=> (_ (_ tptp.breln1 @t19) @t4) @t36))
% 0.37/0.59  (define @t38 () (@list @t19 @t4))
% 0.37/0.59  (define @t39 () (forall @t38 @t37))
% 0.37/0.59  (define @t40 () (=> tptp.brelnall2 @t39))
% 0.37/0.59  (define @t41 () (not @t40))
% 0.37/0.59  (define @t42 () (_ tptp.cartprod @t19))
% 0.37/0.59  (define @t43 () (_ @t42 @t14))
% 0.37/0.59  (define @t44 () (@var "C" $$unsorted))
% 0.37/0.59  (define @t45 () (_ tptp.subset @t44))
% 0.37/0.59  (define @t46 () (_ @t45 @t43))
% 0.37/0.59  (define @t47 () (lambda (@list @t19 @t14 @t44) @t46))
% 0.37/0.59  (define @t48 () (lambda @t38 (_ (_ @t26 @t19) @t4)))
% 0.37/0.59  (define @t49 () (@var "BOUND_VARIABLE_7675" $$unsorted))
% 0.37/0.59  (define @t50 () (@var "BOUND_VARIABLE_7673" (-> $$unsorted Bool)))
% 0.37/0.59  (define @t51 () (_ @t50 @t49))
% 0.37/0.59  (define @t52 () (not (tptp.in @t49 @t4)))
% 0.37/0.59  (define @t53 () (@var "BOUND_VARIABLE_7632" $$unsorted))
% 0.37/0.59  (define @t54 () (tptp.kpair @t1 @t53))
% 0.37/0.59  (define @t55 () (not (tptp.in @t54 @t4)))
% 0.37/0.59  (define @t56 () (not (tptp.in @t53 @t19)))
% 0.37/0.59  (define @t57 () (tptp.in @t1 @t19))
% 0.37/0.59  (define @t58 () (not @t57))
% 0.37/0.59  (define @t59 () (@list @t1 @t53))
% 0.37/0.59  (define @t60 () (not (forall @t59 (or @t58 @t56 @t55 (_ @t50 @t54)))))
% 0.37/0.59  (define @t61 () (tptp.cartprod @t19 @t19))
% 0.37/0.59  (define @t62 () (tptp.subset @t4 @t61))
% 0.37/0.59  (define @t63 () (not @t62))
% 0.37/0.59  (define @t64 () (or @t63 @t60 @t52 @t51))
% 0.37/0.59  (define @t65 () (@list @t19 @t4 @t50 @t49))
% 0.37/0.59  (define @t66 () (forall @t65 @t64))
% 0.37/0.59  (define @t67 () (@var "BOUND_VARIABLE_7589" $$unsorted))
% 0.37/0.59  (define @t68 () (@var "BOUND_VARIABLE_7587" (-> $$unsorted Bool)))
% 0.37/0.59  (define @t69 () (_ @t68 @t67))
% 0.37/0.59  (define @t70 () (not (tptp.in @t67 @t4)))
% 0.37/0.59  (define @t71 () (@var "BOUND_VARIABLE_7538" $$unsorted))
% 0.37/0.59  (define @t72 () (tptp.kpair @t1 @t71))
% 0.37/0.59  (define @t73 () (not (tptp.in @t72 @t4)))
% 0.37/0.59  (define @t74 () (not (tptp.in @t71 @t14)))
% 0.37/0.59  (define @t75 () (@list @t1 @t71))
% 0.37/0.59  (define @t76 () (not (forall @t75 (or @t58 @t74 @t73 (_ @t68 @t72)))))
% 0.37/0.59  (define @t77 () (tptp.cartprod @t19 @t14))
% 0.37/0.59  (define @t78 () (tptp.subset @t4 @t77))
% 0.37/0.59  (define @t79 () (not @t78))
% 0.37/0.59  (define @t80 () (or @t76 @t70 @t69))
% 0.37/0.59  (define @t81 () (or @t79 @t80))
% 0.37/0.59  (define @t82 () (forall (@list @t19 @t14 @t4 @t68 @t67) @t81))
% 0.37/0.59  (define @t83 () (@list @t68 @t67))
% 0.37/0.59  (define @t84 () (forall @t83 @t81))
% 0.37/0.59  (define @t85 () (forall @t83 @t80))
% 0.37/0.59  (define @t86 () (@var "BOUND_VARIABLE_7565" $$unsorted))
% 0.37/0.59  (define @t87 () (or @t79 @t85))
% 0.37/0.59  (define @t88 () (_ @t2 @t86))
% 0.37/0.59  (define @t89 () (not (tptp.in @t86 @t4)))
% 0.37/0.59  (define @t90 () (_ @t2 @t72))
% 0.37/0.59  (define @t91 () (or @t58 @t74 @t73 @t90))
% 0.37/0.59  (define @t92 () (forall @t75 @t91))
% 0.37/0.59  (define @t93 () (not @t92))
% 0.37/0.59  (define @t94 () (or @t93 @t89 @t88))
% 0.37/0.59  (define @t95 () (@list @t2 @t86))
% 0.37/0.59  (define @t96 () (forall @t95 @t94))
% 0.37/0.59  (define @t97 () (_ tptp.subset @t4))
% 0.37/0.59  (define @t98 () (_ @t97 @t43))
% 0.37/0.59  (define @t99 () (not @t98))
% 0.37/0.59  (define @t100 () (or @t99 @t96))
% 0.37/0.59  (define @t101 () (or @t89 @t88))
% 0.37/0.59  (define @t102 () (or @t93 @t101))
% 0.37/0.59  (define @t103 () (forall @t95 @t102))
% 0.37/0.59  (define @t104 () (@list @t86))
% 0.37/0.59  (define @t105 () (forall @t104 @t102))
% 0.37/0.59  (define @t106 () (forall @t104 @t101))
% 0.37/0.59  (define @t107 () (@list @t1))
% 0.37/0.59  (define @t108 () (or @t93 @t106))
% 0.37/0.59  (define @t109 () (_ @t2 @t1))
% 0.37/0.59  (define @t110 () (tptp.in @t1 @t4))
% 0.37/0.59  (define @t111 () (forall @t7 (or (not @t110) @t109)))
% 0.37/0.59  (define @t112 () (not @t6))
% 0.37/0.59  (define @t113 () (or @t112 @t3))
% 0.37/0.59  (define @t114 () (or @t74 @t73 @t90))
% 0.37/0.59  (define @t115 () (or @t58 @t114))
% 0.37/0.59  (define @t116 () (forall @t75 @t115))
% 0.37/0.59  (define @t117 () (@list @t71))
% 0.37/0.59  (define @t118 () (forall @t117 @t115))
% 0.37/0.59  (define @t119 () (forall @t117 @t114))
% 0.37/0.59  (define @t120 () (@list @t9))
% 0.37/0.59  (define @t121 () (or @t58 @t119))
% 0.37/0.59  (define @t122 () (tptp.kpair @t1 @t9))
% 0.37/0.59  (define @t123 () (_ @t2 @t122))
% 0.37/0.59  (define @t124 () (tptp.in @t122 @t4))
% 0.37/0.59  (define @t125 () (not @t124))
% 0.37/0.59  (define @t126 () (tptp.in @t9 @t14))
% 0.37/0.59  (define @t127 () (forall @t17 (or (not @t126) @t125 @t123)))
% 0.37/0.59  (define @t128 () (not @t20))
% 0.37/0.59  (define @t129 () (or @t128 @t127))
% 0.37/0.59  (define @t130 () (not @t12))
% 0.37/0.59  (define @t131 () (not @t16))
% 0.37/0.59  (define @t132 () (or @t131 @t130 @t11))
% 0.37/0.59  (define @t133 () (or @t130 @t11))
% 0.37/0.59  (define @t134 () (@list @t44))
% 0.37/0.59  (define @t135 () (lambda @t134 @t46))
% 0.37/0.59  (define @t136 () (lambda (@list @t14 @t44) @t46))
% 0.37/0.59  (define @t137 () (_ @t47 @t19))
% 0.37/0.59  (define @t138 () (=> (_ (_ @t137 @t14) @t4) @t25))
% 0.37/0.59  (define @t139 () (forall @t28 @t138))
% 0.37/0.59  (define @t140 () (=> tptp.brelnall2 @t66))
% 0.37/0.59  (define @t141 () (or @t60 @t52 @t51))
% 0.37/0.59  (define @t142 () (or @t63 @t141))
% 0.37/0.59  (define @t143 () (forall @t65 @t142))
% 0.37/0.59  (define @t144 () (@list @t50 @t49))
% 0.37/0.59  (define @t145 () (forall @t144 @t142))
% 0.37/0.59  (define @t146 () (forall @t144 @t141))
% 0.37/0.59  (define @t147 () (@var "BOUND_VARIABLE_7651" $$unsorted))
% 0.37/0.59  (define @t148 () (or @t63 @t146))
% 0.37/0.59  (define @t149 () (_ @t2 @t147))
% 0.37/0.59  (define @t150 () (not (tptp.in @t147 @t4)))
% 0.37/0.59  (define @t151 () (_ @t2 @t54))
% 0.37/0.59  (define @t152 () (or @t58 @t56 @t55 @t151))
% 0.37/0.59  (define @t153 () (forall @t59 @t152))
% 0.37/0.59  (define @t154 () (not @t153))
% 0.37/0.59  (define @t155 () (or @t154 @t150 @t149))
% 0.37/0.59  (define @t156 () (@list @t2 @t147))
% 0.37/0.59  (define @t157 () (forall @t156 @t155))
% 0.37/0.59  (define @t158 () (_ @t42 @t19))
% 0.37/0.59  (define @t159 () (_ @t97 @t158))
% 0.37/0.59  (define @t160 () (not @t159))
% 0.37/0.59  (define @t161 () (or @t160 @t157))
% 0.37/0.59  (define @t162 () (or @t150 @t149))
% 0.37/0.59  (define @t163 () (or @t154 @t162))
% 0.37/0.59  (define @t164 () (forall @t156 @t163))
% 0.37/0.59  (define @t165 () (@list @t147))
% 0.37/0.59  (define @t166 () (forall @t165 @t163))
% 0.37/0.59  (define @t167 () (forall @t165 @t162))
% 0.37/0.59  (define @t168 () (or @t154 @t167))
% 0.37/0.59  (define @t169 () (or @t56 @t55 @t151))
% 0.37/0.59  (define @t170 () (or @t58 @t169))
% 0.37/0.59  (define @t171 () (forall @t59 @t170))
% 0.37/0.59  (define @t172 () (@list @t53))
% 0.37/0.59  (define @t173 () (forall @t172 @t170))
% 0.37/0.59  (define @t174 () (forall @t172 @t169))
% 0.37/0.59  (define @t175 () (or @t58 @t174))
% 0.37/0.59  (define @t176 () (tptp.in @t9 @t19))
% 0.37/0.59  (define @t177 () (forall @t17 (or (not @t176) @t125 @t123)))
% 0.37/0.59  (define @t178 () (or @t128 @t177))
% 0.37/0.59  (define @t179 () (not @t31))
% 0.37/0.59  (define @t180 () (or @t179 @t130 @t11))
% 0.37/0.59  (define @t181 () (lambda (@list @t4) @t159))
% 0.37/0.59  (define @t182 () (_ (lambda @t38 @t159) @t19))
% 0.37/0.59  (define @t183 () (=> (_ @t182 @t4) @t36))
% 0.37/0.59  (define @t184 () (forall @t38 @t183))
% 0.37/0.59  (define @t185 () (=> tptp.brelnall2 @t184))
% 0.37/0.59  (define @t186 () (lambda @t134 (_ @t45 @t158)))
% 0.37/0.59  (define @t187 () (@quantifiers_skolemize @t66 0))
% 0.37/0.59  (define @t188 () (@quantifiers_skolemize @t66 1))
% 0.37/0.59  (define @t189 () (tptp.subset @t188 (tptp.cartprod @t187 @t187)))
% 0.37/0.59  (define @t190 () (@quantifiers_skolemize @t66 3))
% 0.37/0.59  (define @t191 () (@quantifiers_skolemize @t66 2))
% 0.37/0.59  (define @t192 () (_ @t191 @t190))
% 0.37/0.59  (define @t193 () (tptp.in @t190 @t188))
% 0.37/0.59  (define @t194 () (not @t193))
% 0.37/0.59  (define @t195 () (not (tptp.in @t1 @t187)))
% 0.37/0.59  (define @t196 () (forall @t59 (or @t195 (not (tptp.in @t53 @t187)) (not (tptp.in @t54 @t188)) (_ @t191 @t54))))
% 0.37/0.59  (define @t197 () (not @t196))
% 0.37/0.59  (define @t198 () (not @t189))
% 0.37/0.59  (define @t199 () (or @t198 @t197 @t194 @t192))
% 0.37/0.59  (define @t200 () (@list true))
% 0.37/0.59  (define @t201 () (@list @t199))
% 0.37/0.59  (define @t202 () (@var "BOUND_VARIABLE_8080" $$unsorted))
% 0.37/0.59  (define @t203 () (@var "BOUND_VARIABLE_8079" $$unsorted))
% 0.37/0.59  (define @t204 () (tptp.kpair @t203 @t202))
% 0.37/0.59  (define @t205 () (@list @t203 @t202))
% 0.37/0.59  (define @t206 () (forall @t75 (or @t195 (not (tptp.in @t71 @t187)) (not (tptp.in @t72 @t188)) (_ @t191 @t72))))
% 0.37/0.59  (define @t207 () (not @t206))
% 0.37/0.59  (define @t208 () (or @t198 @t207 @t194 @t192))
% 0.37/0.59  (assume @p1 @t30)
% 0.37/0.59  (assume @p2 @t41)
% 0.37/0.59  (assume @p3 true)
% 0.37/0.59  (step @p4 (= tptp.breln @t47) :rule refl :args (@t47))
% 0.37/0.59  (step @p5 (= tptp.breln1 @t48) :rule refl :args (@t48))
% 0.37/0.59  (step @p6 :rule refl :args (@t66))
% 0.37/0.59  (step @p7 :rule aci_norm :args ((= @t81 (or @t79 @t76 @t70 @t69))))
% 0.37/0.59  (step @p8 :rule cong :premises (@p7) :args (@t82))
% 0.37/0.59  (step @p9 :rule quant-merge-prenex :args ((= (forall @t28 @t84) @t82)))
% 0.37/0.59  (step @p10 :rule alpha_equiv :args (@t85 (@list @t68 @t67) (@list @t2 @t86)))
% 0.37/0.59  (step @p11 :rule refl :args (@t79))
% 0.37/0.59  (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t87))
% 0.37/0.59  (step @p13 :rule quant-miniscope-or :args ((= @t84 @t87)))
% 0.37/0.59  (step @p14 :rule trans :premises (@p13 @p12))
% 0.37/0.59  (step @p15 :rule symm :premises (@p14))
% 0.37/0.59  (step @p16 :rule cong :premises (@p15) :args ((forall @t28 (or @t79 @t96))))
% 0.37/0.59  (step @p17 :rule trans :premises (@p16 @p9))
% 0.37/0.59  (step @p18 :rule trans :premises (@p17 @p8))
% 0.37/0.59  (step @p19 :rule refl :args (@t96))
% 0.37/0.59  (step @p20 :rule refl :args ((tptp.subset @t4 @t43)))
% 0.37/0.59  (step @p21 :rule refl :args (@t77))
% 0.37/0.59  (step @p22 :rule refl :args (@t4))
% 0.37/0.59  (step @p23 :rule cong :premises (@p22 @p21) :args (@t78))
% 0.37/0.59  (step @p24 :rule trans :premises (@p23 @p20))
% 0.37/0.59  (step @p25 :rule refl :args (@t97))
% 0.37/0.59  (step @p26 :rule ho_cong :premises (@p25 @p21))
% 0.37/0.59  (step @p27 :rule cong :premises (@p26 @p24) :args ((= (_ @t97 @t77) @t78)))
% 0.37/0.59  (step @p28 :rule symm :premises (@p27))
% 0.37/0.59  (step @p29 :rule refl :args (@t98))
% 0.37/0.59  (step @p30 :rule eq_resolve :premises (@p29 @p28))
% 0.37/0.59  (step @p31 :rule refl :args (@t43))
% 0.37/0.59  (step @p32 :rule cong :premises (@p31 @p21) :args ((= @t43 @t77)))
% 0.37/0.59  (step @p33 :rule symm :premises (@p32))
% 0.37/0.59  (step @p34 :rule eq_resolve :premises (@p31 @p33))
% 0.37/0.59  (step @p35 :rule ho_cong :premises (@p25 @p34))
% 0.37/0.59  (step @p36 :rule trans :premises (@p35 @p30))
% 0.37/0.59  (step @p37 :rule cong :premises (@p36) :args (@t99))
% 0.37/0.59  (step @p38 :rule nary_cong :premises (@p37 @p19) :args (@t100))
% 0.37/0.59  (step @p39 :rule cong :premises (@p38) :args ((forall @t28 @t100)))
% 0.37/0.59  (step @p40 :rule trans :premises (@p39 @p18))
% 0.37/0.59  (step @p41 :rule bool-impl-elim :args (@t98 @t96))
% 0.37/0.59  (step @p42 :rule cong :premises (@p41) :args ((forall @t28 (=> @t98 @t96))))
% 0.37/0.59  (step @p43 :rule trans :premises (@p42 @p40))
% 0.37/0.59  (step @p44 :rule aci_norm :args ((= @t102 @t94)))
% 0.37/0.59  (step @p45 :rule cong :premises (@p44) :args (@t103))
% 0.37/0.59  (step @p46 :rule quant-merge-prenex :args ((= (forall @t24 @t105) @t103)))
% 0.37/0.59  (step @p47 :rule alpha_equiv :args (@t106 (@list @t86) @t107))
% 0.37/0.59  (step @p48 :rule refl :args (@t93))
% 0.37/0.59  (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t108))
% 0.37/0.59  (step @p50 :rule quant-miniscope-or :args ((= @t105 @t108)))
% 0.37/0.59  (step @p51 :rule trans :premises (@p50 @p49))
% 0.37/0.59  (step @p52 :rule symm :premises (@p51))
% 0.37/0.59  (step @p53 :rule cong :premises (@p52) :args ((forall @t24 (or @t93 @t111))))
% 0.37/0.59  (step @p54 :rule trans :premises (@p53 @p46))
% 0.37/0.59  (step @p55 :rule trans :premises (@p54 @p45))
% 0.37/0.59  (step @p56 :rule bool-impl-elim :args (@t92 @t111))
% 0.37/0.59  (step @p57 :rule cong :premises (@p56) :args ((forall @t24 (=> @t92 @t111))))
% 0.37/0.59  (step @p58 :rule trans :premises (@p57 @p55))
% 0.37/0.59  (step @p59 :rule refl :args (@t109))
% 0.37/0.59  (step @p60 :rule refl :args (@t3))
% 0.37/0.59  (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t3 @t109)))
% 0.37/0.59  (step @p62 :rule symm :premises (@p61))
% 0.37/0.59  (step @p63 :rule eq_resolve :premises (@p60 @p62))
% 0.37/0.59  (step @p64 :rule refl :args (@t110))
% 0.37/0.59  (step @p65 :rule refl :args (@t6))
% 0.37/0.59  (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t6 @t110)))
% 0.37/0.59  (step @p67 :rule symm :premises (@p66))
% 0.37/0.59  (step @p68 :rule eq_resolve :premises (@p65 @p67))
% 0.37/0.59  (step @p69 :rule cong :premises (@p68) :args (@t112))
% 0.37/0.59  (step @p70 :rule nary_cong :premises (@p69 @p63) :args (@t113))
% 0.37/0.59  (step @p71 :rule cong :premises (@p70) :args ((forall @t7 @t113)))
% 0.37/0.59  (step @p72 :rule bool-impl-elim :args (@t6 @t3))
% 0.37/0.59  (step @p73 :rule cong :premises (@p72) :args (@t8))
% 0.37/0.59  (step @p74 :rule trans :premises (@p73 @p71))
% 0.37/0.59  (step @p75 :rule aci_norm :args ((= @t115 @t91)))
% 0.37/0.59  (step @p76 :rule cong :premises (@p75) :args (@t116))
% 0.37/0.59  (step @p77 :rule quant-merge-prenex :args ((= (forall @t7 @t118) @t116)))
% 0.37/0.59  (step @p78 :rule alpha_equiv :args (@t119 (@list @t71) @t120))
% 0.37/0.59  (step @p79 :rule refl :args (@t58))
% 0.37/0.59  (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t121))
% 0.37/0.59  (step @p81 :rule quant-miniscope-or :args ((= @t118 @t121)))
% 0.37/0.59  (step @p82 :rule trans :premises (@p81 @p80))
% 0.37/0.59  (step @p83 :rule symm :premises (@p82))
% 0.37/0.59  (step @p84 :rule cong :premises (@p83) :args ((forall @t7 (or @t58 @t127))))
% 0.37/0.59  (step @p85 :rule trans :premises (@p84 @p77))
% 0.37/0.59  (step @p86 :rule trans :premises (@p85 @p76))
% 0.37/0.59  (step @p87 :rule refl :args (@t127))
% 0.37/0.59  (step @p88 :rule refl :args (@t57))
% 0.37/0.59  (step @p89 :rule refl :args (@t20))
% 0.37/0.59  (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t20 @t57)))
% 0.37/0.59  (step @p91 :rule symm :premises (@p90))
% 0.37/0.59  (step @p92 :rule eq_resolve :premises (@p89 @p91))
% 0.37/0.59  (step @p93 :rule cong :premises (@p92) :args (@t128))
% 0.37/0.59  (step @p94 :rule nary_cong :premises (@p93 @p87) :args (@t129))
% 0.37/0.59  (step @p95 :rule cong :premises (@p94) :args ((forall @t7 @t129)))
% 0.37/0.59  (step @p96 :rule trans :premises (@p95 @p86))
% 0.37/0.59  (step @p97 :rule bool-impl-elim :args (@t20 @t127))
% 0.37/0.59  (step @p98 :rule cong :premises (@p97) :args ((forall @t7 (=> @t20 @t127))))
% 0.37/0.59  (step @p99 :rule trans :premises (@p98 @p96))
% 0.37/0.59  (step @p100 :rule refl :args ((_ @t2 @t10)))
% 0.37/0.59  (step @p101 :rule refl :args (@t122))
% 0.37/0.59  (step @p102 :rule cong :premises (@p101) :args (@t123))
% 0.37/0.59  (step @p103 :rule trans :premises (@p102 @p100))
% 0.37/0.59  (step @p104 :rule refl :args (@t2))
% 0.37/0.59  (step @p105 :rule ho_cong :premises (@p104 @p101))
% 0.37/0.59  (step @p106 :rule cong :premises (@p105 @p103) :args ((= (_ @t2 @t122) @t123)))
% 0.37/0.59  (step @p107 :rule symm :premises (@p106))
% 0.37/0.59  (step @p108 :rule refl :args (@t11))
% 0.37/0.59  (step @p109 :rule eq_resolve :premises (@p108 @p107))
% 0.37/0.59  (step @p110 :rule refl :args (@t10))
% 0.37/0.59  (step @p111 :rule cong :premises (@p110 @p101) :args ((= @t10 @t122)))
% 0.37/0.59  (step @p112 :rule symm :premises (@p111))
% 0.37/0.59  (step @p113 :rule eq_resolve :premises (@p110 @p112))
% 0.37/0.59  (step @p114 :rule ho_cong :premises (@p104 @p113))
% 0.37/0.59  (step @p115 :rule trans :premises (@p114 @p109))
% 0.37/0.59  (step @p116 :rule refl :args ((tptp.in @t10 @t4)))
% 0.37/0.59  (step @p117 :rule cong :premises (@p101 @p22) :args (@t124))
% 0.37/0.59  (step @p118 :rule trans :premises (@p117 @p116))
% 0.37/0.59  (step @p119 :rule refl :args (tptp.in))
% 0.37/0.59  (step @p120 :rule ho_cong :premises (@p119 @p101))
% 0.37/0.59  (step @p121 :rule ho_cong :premises (@p120 @p22))
% 0.37/0.59  (step @p122 :rule cong :premises (@p121 @p118) :args ((= (_ (_ tptp.in @t122) @t4) @t124)))
% 0.37/0.59  (step @p123 :rule symm :premises (@p122))
% 0.37/0.59  (step @p124 :rule refl :args (@t12))
% 0.37/0.59  (step @p125 :rule eq_resolve :premises (@p124 @p123))
% 0.37/0.59  (step @p126 :rule ho_cong :premises (@p119 @p113))
% 0.37/0.59  (step @p127 :rule ho_cong :premises (@p126 @p22))
% 0.37/0.59  (step @p128 :rule trans :premises (@p127 @p125))
% 0.37/0.59  (step @p129 :rule cong :premises (@p128) :args (@t130))
% 0.37/0.59  (step @p130 :rule refl :args (@t126))
% 0.37/0.59  (step @p131 :rule refl :args (@t16))
% 0.37/0.59  (step @p132 :rule cong :premises (@p131 @p130) :args ((= @t16 @t126)))
% 0.37/0.59  (step @p133 :rule symm :premises (@p132))
% 0.37/0.59  (step @p134 :rule eq_resolve :premises (@p131 @p133))
% 0.37/0.59  (step @p135 :rule cong :premises (@p134) :args (@t131))
% 0.37/0.59  (step @p136 :rule nary_cong :premises (@p135 @p129 @p115) :args (@t132))
% 0.37/0.59  (step @p137 :rule cong :premises (@p136) :args ((forall @t17 @t132)))
% 0.37/0.59  (step @p138 :rule aci_norm :args ((= (or @t131 @t133) @t132)))
% 0.37/0.59  (step @p139 :rule bool-impl-elim :args (@t12 @t11))
% 0.37/0.59  (step @p140 :rule refl :args (@t131))
% 0.37/0.59  (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t131 @t13)))
% 0.37/0.59  (step @p142 :rule trans :premises (@p141 @p138))
% 0.37/0.59  (step @p143 :rule bool-impl-elim :args (@t16 @t13))
% 0.37/0.59  (step @p144 :rule trans :premises (@p143 @p142))
% 0.37/0.59  (step @p145 :rule cong :premises (@p144) :args (@t18))
% 0.37/0.59  (step @p146 :rule trans :premises (@p145 @p137))
% 0.37/0.59  (step @p147 :rule refl :args (@t20))
% 0.37/0.59  (step @p148 :rule cong :premises (@p147 @p146) :args (@t21))
% 0.37/0.59  (step @p149 :rule cong :premises (@p148) :args (@t22))
% 0.37/0.59  (step @p150 :rule trans :premises (@p149 @p99))
% 0.37/0.59  (step @p151 :rule cong :premises (@p150 @p74) :args (@t23))
% 0.37/0.59  (step @p152 :rule cong :premises (@p151) :args (@t25))
% 0.37/0.59  (step @p153 :rule trans :premises (@p152 @p58))
% 0.37/0.59  (step @p154 :rule beta-reduce :args ((= (_ @t135 @t4) @t98)))
% 0.37/0.59  (step @p155 :rule refl :args (@t4))
% 0.37/0.59  (step @p156 :rule beta-reduce :args ((= (_ @t136 @t14) @t135)))
% 0.37/0.59  (step @p157 :rule refl :args (@t14))
% 0.37/0.59  (step @p158 :rule beta-reduce :args ((= @t137 @t136)))
% 0.37/0.59  (step @p159 :rule ho_cong :premises (@p158 @p157))
% 0.37/0.59  (step @p160 :rule trans :premises (@p159 @p156))
% 0.37/0.59  (step @p161 :rule ho_cong :premises (@p160 @p155))
% 0.37/0.59  (step @p162 :rule trans :premises (@p161 @p154))
% 0.37/0.59  (step @p163 :rule cong :premises (@p162 @p153) :args (@t138))
% 0.37/0.59  (step @p164 :rule cong :premises (@p163) :args (@t139))
% 0.37/0.59  (step @p165 :rule trans :premises (@p164 @p43))
% 0.37/0.59  (step @p166 :rule refl :args (tptp.brelnall2))
% 0.37/0.59  (step @p167 :rule cong :premises (@p166 @p165) :args ((= tptp.brelnall2 @t139)))
% 0.37/0.59  (step @p168 :rule refl :args (@t25))
% 0.37/0.59  (step @p169 :rule refl :args (@t19))
% 0.37/0.59  (step @p170 :rule ho_cong :premises (@p4 @p169))
% 0.37/0.59  (step @p171 :rule ho_cong :premises (@p170 @p157))
% 0.37/0.59  (step @p172 :rule ho_cong :premises (@p171 @p155))
% 0.37/0.59  (step @p173 :rule cong :premises (@p172 @p168) :args (@t27))
% 0.37/0.59  (step @p174 :rule cong :premises (@p173) :args (@t29))
% 0.37/0.59  (step @p175 :rule cong :premises (@p166 @p174) :args (@t30))
% 0.37/0.59  (step @p176 :rule trans :premises (@p175 @p167))
% 0.37/0.59  (step @p177 :rule eq_resolve :premises (@p1 @p176))
% 0.37/0.59  (step @p178 :rule cong :premises (@p177 @p6) :args (@t140))
% 0.37/0.59  (step @p179 :rule cong :premises (@p178) :args ((not @t140)))
% 0.37/0.59  (step @p180 :rule aci_norm :args ((= @t142 @t64)))
% 0.37/0.59  (step @p181 :rule cong :premises (@p180) :args (@t143))
% 0.37/0.59  (step @p182 :rule quant-merge-prenex :args ((= (forall @t38 @t145) @t143)))
% 0.37/0.59  (step @p183 :rule alpha_equiv :args (@t146 (@list @t50 @t49) (@list @t2 @t147)))
% 0.37/0.59  (step @p184 :rule refl :args (@t63))
% 0.37/0.59  (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t148))
% 0.37/0.59  (step @p186 :rule quant-miniscope-or :args ((= @t145 @t148)))
% 0.37/0.59  (step @p187 :rule trans :premises (@p186 @p185))
% 0.37/0.59  (step @p188 :rule symm :premises (@p187))
% 0.37/0.59  (step @p189 :rule cong :premises (@p188) :args ((forall @t38 (or @t63 @t157))))
% 0.37/0.59  (step @p190 :rule trans :premises (@p189 @p182))
% 0.37/0.59  (step @p191 :rule trans :premises (@p190 @p181))
% 0.37/0.59  (step @p192 :rule refl :args (@t157))
% 0.37/0.59  (step @p193 :rule refl :args ((tptp.subset @t4 @t158)))
% 0.37/0.59  (step @p194 :rule refl :args (@t61))
% 0.37/0.59  (step @p195 :rule cong :premises (@p22 @p194) :args (@t62))
% 0.37/0.59  (step @p196 :rule trans :premises (@p195 @p193))
% 0.37/0.59  (step @p197 :rule ho_cong :premises (@p25 @p194))
% 0.37/0.59  (step @p198 :rule cong :premises (@p197 @p196) :args ((= (_ @t97 @t61) @t62)))
% 0.37/0.59  (step @p199 :rule symm :premises (@p198))
% 0.37/0.59  (step @p200 :rule refl :args (@t159))
% 0.37/0.59  (step @p201 :rule eq_resolve :premises (@p200 @p199))
% 0.37/0.59  (step @p202 :rule refl :args (@t158))
% 0.37/0.59  (step @p203 :rule cong :premises (@p202 @p194) :args ((= @t158 @t61)))
% 0.37/0.59  (step @p204 :rule symm :premises (@p203))
% 0.37/0.59  (step @p205 :rule eq_resolve :premises (@p202 @p204))
% 0.37/0.59  (step @p206 :rule ho_cong :premises (@p25 @p205))
% 0.37/0.59  (step @p207 :rule trans :premises (@p206 @p201))
% 0.37/0.59  (step @p208 :rule cong :premises (@p207) :args (@t160))
% 0.37/0.59  (step @p209 :rule nary_cong :premises (@p208 @p192) :args (@t161))
% 0.37/0.59  (step @p210 :rule cong :premises (@p209) :args ((forall @t38 @t161)))
% 0.37/0.59  (step @p211 :rule trans :premises (@p210 @p191))
% 0.37/0.59  (step @p212 :rule bool-impl-elim :args (@t159 @t157))
% 0.37/0.59  (step @p213 :rule cong :premises (@p212) :args ((forall @t38 (=> @t159 @t157))))
% 0.37/0.59  (step @p214 :rule trans :premises (@p213 @p211))
% 0.37/0.59  (step @p215 :rule aci_norm :args ((= @t163 @t155)))
% 0.37/0.59  (step @p216 :rule cong :premises (@p215) :args (@t164))
% 0.37/0.59  (step @p217 :rule quant-merge-prenex :args ((= (forall @t24 @t166) @t164)))
% 0.37/0.59  (step @p218 :rule alpha_equiv :args (@t167 (@list @t147) @t107))
% 0.37/0.59  (step @p219 :rule refl :args (@t154))
% 0.37/0.59  (step @p220 :rule nary_cong :premises (@p219 @p218) :args (@t168))
% 0.37/0.59  (step @p221 :rule quant-miniscope-or :args ((= @t166 @t168)))
% 0.37/0.59  (step @p222 :rule trans :premises (@p221 @p220))
% 0.37/0.59  (step @p223 :rule symm :premises (@p222))
% 0.37/0.59  (step @p224 :rule cong :premises (@p223) :args ((forall @t24 (or @t154 @t111))))
% 0.37/0.59  (step @p225 :rule trans :premises (@p224 @p217))
% 0.37/0.59  (step @p226 :rule trans :premises (@p225 @p216))
% 0.37/0.59  (step @p227 :rule bool-impl-elim :args (@t153 @t111))
% 0.37/0.59  (step @p228 :rule cong :premises (@p227) :args ((forall @t24 (=> @t153 @t111))))
% 0.37/0.59  (step @p229 :rule trans :premises (@p228 @p226))
% 0.37/0.59  (step @p230 :rule aci_norm :args ((= @t170 @t152)))
% 0.37/0.59  (step @p231 :rule cong :premises (@p230) :args (@t171))
% 0.37/0.59  (step @p232 :rule quant-merge-prenex :args ((= (forall @t7 @t173) @t171)))
% 0.37/0.59  (step @p233 :rule alpha_equiv :args (@t174 (@list @t53) @t120))
% 0.37/0.59  (step @p234 :rule nary_cong :premises (@p79 @p233) :args (@t175))
% 0.37/0.59  (step @p235 :rule quant-miniscope-or :args ((= @t173 @t175)))
% 0.37/0.59  (step @p236 :rule trans :premises (@p235 @p234))
% 0.37/0.59  (step @p237 :rule symm :premises (@p236))
% 0.37/0.59  (step @p238 :rule cong :premises (@p237) :args ((forall @t7 (or @t58 @t177))))
% 0.37/0.59  (step @p239 :rule trans :premises (@p238 @p232))
% 0.37/0.59  (step @p240 :rule trans :premises (@p239 @p231))
% 0.37/0.59  (step @p241 :rule refl :args (@t177))
% 0.37/0.59  (step @p242 :rule nary_cong :premises (@p93 @p241) :args (@t178))
% 0.37/0.59  (step @p243 :rule cong :premises (@p242) :args ((forall @t7 @t178)))
% 0.37/0.59  (step @p244 :rule trans :premises (@p243 @p240))
% 0.37/0.59  (step @p245 :rule bool-impl-elim :args (@t20 @t177))
% 0.37/0.59  (step @p246 :rule cong :premises (@p245) :args ((forall @t7 (=> @t20 @t177))))
% 0.37/0.59  (step @p247 :rule trans :premises (@p246 @p244))
% 0.37/0.59  (step @p248 :rule refl :args (@t176))
% 0.37/0.59  (step @p249 :rule refl :args (@t31))
% 0.37/0.59  (step @p250 :rule cong :premises (@p249 @p248) :args ((= @t31 @t176)))
% 0.37/0.59  (step @p251 :rule symm :premises (@p250))
% 0.37/0.59  (step @p252 :rule eq_resolve :premises (@p249 @p251))
% 0.37/0.59  (step @p253 :rule cong :premises (@p252) :args (@t179))
% 0.37/0.59  (step @p254 :rule nary_cong :premises (@p253 @p129 @p115) :args (@t180))
% 0.37/0.59  (step @p255 :rule cong :premises (@p254) :args ((forall @t17 @t180)))
% 0.37/0.59  (step @p256 :rule aci_norm :args ((= (or @t179 @t133) @t180)))
% 0.37/0.59  (step @p257 :rule refl :args (@t179))
% 0.37/0.59  (step @p258 :rule nary_cong :premises (@p257 @p139) :args ((or @t179 @t13)))
% 0.37/0.59  (step @p259 :rule trans :premises (@p258 @p256))
% 0.37/0.59  (step @p260 :rule bool-impl-elim :args (@t31 @t13))
% 0.37/0.59  (step @p261 :rule trans :premises (@p260 @p259))
% 0.37/0.59  (step @p262 :rule cong :premises (@p261) :args (@t32))
% 0.37/0.59  (step @p263 :rule trans :premises (@p262 @p255))
% 0.37/0.59  (step @p264 :rule cong :premises (@p147 @p263) :args (@t33))
% 0.37/0.59  (step @p265 :rule cong :premises (@p264) :args (@t34))
% 0.37/0.59  (step @p266 :rule trans :premises (@p265 @p247))
% 0.37/0.59  (step @p267 :rule cong :premises (@p266 @p74) :args (@t35))
% 0.37/0.59  (step @p268 :rule cong :premises (@p267) :args (@t36))
% 0.37/0.59  (step @p269 :rule trans :premises (@p268 @p229))
% 0.37/0.59  (step @p270 :rule beta-reduce :args ((= (_ @t181 @t4) @t159)))
% 0.37/0.59  (step @p271 :rule beta-reduce :args ((= @t182 @t181)))
% 0.37/0.59  (step @p272 :rule ho_cong :premises (@p271 @p155))
% 0.37/0.59  (step @p273 :rule trans :premises (@p272 @p270))
% 0.37/0.59  (step @p274 :rule cong :premises (@p273 @p269) :args (@t183))
% 0.37/0.59  (step @p275 :rule cong :premises (@p274) :args (@t184))
% 0.37/0.59  (step @p276 :rule trans :premises (@p275 @p214))
% 0.37/0.59  (step @p277 :rule cong :premises (@p166 @p276) :args (@t185))
% 0.37/0.59  (step @p278 :rule cong :premises (@p277) :args ((not @t185)))
% 0.37/0.59  (step @p279 :rule refl :args (@t36))
% 0.37/0.59  (step @p280 :rule beta-reduce :args ((= (_ @t186 @t4) @t159)))
% 0.37/0.59  (step @p281 :rule beta-reduce :args ((= (_ @t136 @t19) @t186)))
% 0.37/0.59  (step @p282 :rule ho_cong :premises (@p158 @p169))
% 0.37/0.59  (step @p283 :rule trans :premises (@p282 @p281))
% 0.37/0.59  (step @p284 :rule ho_cong :premises (@p283 @p155))
% 0.37/0.59  (step @p285 :rule trans :premises (@p284 @p280))
% 0.37/0.59  (step @p286 :rule ho_cong :premises (@p170 @p169))
% 0.37/0.59  (step @p287 :rule ho_cong :premises (@p286 @p155))
% 0.37/0.59  (step @p288 :rule trans :premises (@p287 @p285))
% 0.37/0.59  (step @p289 :rule cong :premises (@p288) :args (@t48))
% 0.37/0.59  (step @p290 :rule trans :premises (@p5 @p289))
% 0.37/0.59  (step @p291 :rule ho_cong :premises (@p290 @p169))
% 0.37/0.59  (step @p292 :rule ho_cong :premises (@p291 @p155))
% 0.37/0.59  (step @p293 :rule cong :premises (@p292 @p279) :args (@t37))
% 0.37/0.59  (step @p294 :rule cong :premises (@p293) :args (@t39))
% 0.37/0.59  (step @p295 :rule cong :premises (@p166 @p294) :args (@t40))
% 0.37/0.59  (step @p296 :rule cong :premises (@p295) :args (@t41))
% 0.37/0.59  (step @p297 :rule trans :premises (@p296 @p278))
% 0.37/0.59  (step @p298 :rule trans :premises (@p297 @p179))
% 0.37/0.59  (step @p299 :rule eq_resolve :premises (@p2 @p298))
% 0.37/0.59  (step @p300 :rule not_implies_elim2 :premises (@p299))
% 0.37/0.59  (step @p301 :rule skolemize :premises (@p300))
% 0.37/0.59  (step @p302 :rule bool-double-not-elim :args (@t189))
% 0.37/0.59  (step @p303 :rule refl :args (@t199))
% 0.37/0.59  (step @p304 :rule nary_cong :premises (@p303 @p302) :args ((or @t199 (not @t198))))
% 0.37/0.59  (step @p305 :rule cnf_or_neg :args (@t199 0))
% 0.37/0.59  (step @p306 :rule eq_resolve :premises (@p305 @p304))
% 0.37/0.59  (step @p307 :rule reordering :premises (@p306) :args ((or @t189 @t199)))
% 0.37/0.59  (step @p308 :rule chain_m_resolution :premises (@p307 @p301) :args (@t189 @t200 @t201))
% 0.37/0.59  (step @p309 :rule bool-double-not-elim :args (@t193))
% 0.37/0.59  (step @p310 :rule nary_cong :premises (@p303 @p309) :args ((or @t199 (not @t194))))
% 0.37/0.59  (step @p311 :rule cnf_or_neg :args (@t199 2))
% 0.37/0.59  (step @p312 :rule eq_resolve :premises (@p311 @p310))
% 0.37/0.59  (step @p313 :rule reordering :premises (@p312) :args ((or @t193 @t199)))
% 0.37/0.59  (step @p314 :rule chain_m_resolution :premises (@p313 @p301) :args (@t193 @t200 @t201))
% 0.37/0.59  (step @p315 :rule cnf_or_neg :args (@t199 3))
% 0.37/0.59  (step @p316 :rule chain_m_resolution :premises (@p315 @p301) :args ((not @t192) @t200 @t201))
% 0.37/0.59  (step @p317 :rule bool-double-not-elim :args (@t196))
% 0.37/0.59  (step @p318 :rule nary_cong :premises (@p303 @p317) :args ((or @t199 (not @t197))))
% 0.37/0.59  (step @p319 :rule cnf_or_neg :args (@t199 1))
% 0.37/0.59  (step @p320 :rule eq_resolve :premises (@p319 @p318))
% 0.37/0.59  (step @p321 :rule reordering :premises (@p320) :args ((or @t196 @t199)))
% 0.37/0.59  (step @p322 :rule chain_m_resolution :premises (@p321 @p301) :args (@t196 @t200 @t201))
% 0.37/0.59  (step @p323 :rule alpha_equiv :args ((forall (@list @t203 @t202) (or (not (tptp.in @t203 @t187)) (not (tptp.in @t202 @t187)) (not (tptp.in @t204 @t188)) (_ @t191 @t204))) @t205 (@list @t1 @t71)))
% 0.37/0.59  (step @p324 :rule alpha_equiv :args (@t196 (@list @t1 @t53) @t205))
% 0.37/0.59  (step @p325 :rule trans :premises (@p324 @p323))
% 0.37/0.59  (step @p326 :rule equiv_elim1 :premises (@p325))
% 0.37/0.59  (step @p327 :rule chain_m_resolution :premises (@p326 @p322) :args (@t206 (@list false) (@list @t196)))
% 0.37/0.59  (step @p328 :rule not_implies_elim1 :premises (@p299))
% 0.37/0.59  (step @p329 :rule instantiate :premises (@p328) :args ((@list @t187 @t187 @t188 @t191 @t190)))
% 0.37/0.59  (step @p330 :rule cnf_or_pos :args (@t208))
% 0.37/0.59  (step @p331 :rule reordering :premises (@p330) :args ((or @t198 @t194 @t192 @t207 (not @t208))))
% 0.37/0.59  (step @p332 false :rule chain_m_resolution :premises (@p331 @p329 @p327 @p316 @p314 @p308) :args (false (@list false false true false false) (@list @t208 @t206 @t192 @t193 @t189)))
% 0.37/0.59  )
% 0.37/0.59  % SZS output end Proof
% 0.37/0.59  % cvc5 exiting
%------------------------------------------------------------------------------