%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU527^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:04 AM UTC 2026 % Result : Theorem 0.50s 0.70s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU527^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n002.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:40:48 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.50/0.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.50/0.70 % SZS status Theorem % 0.50/0.70 % SZS output start Proof % 0.50/0.70 ( % 0.50/0.70 (declare-sort $$unsorted 0) % 0.50/0.70 (declare-const tptp.emptyset $$unsorted) % 0.50/0.70 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.50/0.70 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.50/0.70 (declare-const tptp.subPowSU Bool) % 0.50/0.70 (declare-const tptp.setunionE Bool) % 0.50/0.70 (declare-const tptp.setunionI Bool) % 0.50/0.70 (declare-const tptp.powersetE Bool) % 0.50/0.70 (declare-const tptp.emptyInPowerset Bool) % 0.50/0.70 (declare-const tptp.setoftrueEq Bool) % 0.50/0.70 (declare-const tptp.setadjoinOr Bool) % 0.50/0.70 (declare-const tptp.setadjoinE Bool) % 0.50/0.70 (declare-const tptp.emptyinunitempty Bool) % 0.50/0.70 (declare-const tptp.nonemptyI1 Bool) % 0.50/0.70 (declare-const tptp.nonemptyI Bool) % 0.50/0.70 (declare-const tptp.nonemptyE1 Bool) % 0.50/0.70 (declare-const tptp.noeltsimpempty Bool) % 0.50/0.70 (declare-const tptp.emptyI Bool) % 0.50/0.70 (declare-const tptp.omegaIndAx Bool) % 0.50/0.70 (declare-const tptp.omega0Ax Bool) % 0.50/0.70 (declare-const tptp.setadjoinIL Bool) % 0.50/0.70 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.50/0.70 (declare-const tptp.powersetAx Bool) % 0.50/0.70 (declare-const tptp.nonemptyImpWitness Bool) % 0.50/0.70 (declare-const tptp.omegaSAx Bool) % 0.50/0.70 (declare-const tptp.setext Bool) % 0.50/0.70 (declare-const tptp.setadjoinAx Bool) % 0.50/0.70 (declare-const tptp.powersetI Bool) % 0.50/0.70 (declare-const tptp.setbeta Bool) % 0.50/0.70 (declare-const tptp.dsetconstrER Bool) % 0.50/0.70 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.70 (declare-const tptp.exuE2 Bool) % 0.50/0.70 (declare-const tptp.setadjoinIR Bool) % 0.50/0.70 (declare-const tptp.notinemptyset Bool) % 0.50/0.70 (declare-const tptp.foundationAx Bool) % 0.50/0.70 (declare-const tptp.setextAx Bool) % 0.50/0.70 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.50/0.70 (declare-const tptp.emptysetAx Bool) % 0.50/0.70 (declare-const tptp.dsetconstrEL Bool) % 0.50/0.70 (declare-const tptp.replAx Bool) % 0.50/0.70 (declare-const tptp.emptysetimpfalse Bool) % 0.50/0.70 (declare-const tptp.wellorderingAx Bool) % 0.50/0.70 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.50/0.70 (declare-const tptp.emptyinPowerset Bool) % 0.50/0.70 (declare-const tptp.exuE1 Bool) % 0.50/0.70 (declare-const tptp.descrp Bool) % 0.50/0.70 (declare-const tptp.dsetconstrI Bool) % 0.50/0.70 (declare-const tptp.omega $$unsorted) % 0.50/0.70 (declare-const tptp.exuE3e Bool) % 0.50/0.70 (declare-const tptp.prop2setE Bool) % 0.50/0.70 (declare-const tptp.setunionAx Bool) % 0.50/0.70 (declare-const tptp.emptysetE Bool) % 0.50/0.70 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.50/0.70 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.50/0.70 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.50/0.70 (define @t1 () (@var "B" $$unsorted)) % 0.50/0.70 (define @t2 () (@var "A" $$unsorted)) % 0.50/0.70 (define @t3 () (= @t2 @t1)) % 0.50/0.70 (define @t4 () (@var "Xx" $$unsorted)) % 0.50/0.70 (define @t5 () (_ tptp.in @t4)) % 0.50/0.70 (define @t6 () (_ @t5 @t1)) % 0.50/0.70 (define @t7 () (_ @t5 @t2)) % 0.50/0.70 (define @t8 () (= @t7 @t6)) % 0.50/0.70 (define @t9 () (@list @t4)) % 0.50/0.70 (define @t10 () (forall @t9 @t8)) % 0.50/0.70 (define @t11 () (=> @t10 @t3)) % 0.50/0.70 (define @t12 () (@list @t2 @t1)) % 0.50/0.70 (define @t13 () (forall @t12 @t11)) % 0.50/0.70 (define @t14 () (= tptp.setextAx @t13)) % 0.50/0.70 (define @t15 () (_ @t5 tptp.emptyset)) % 0.50/0.70 (define @t16 () (not @t15)) % 0.50/0.70 (define @t17 () (forall @t9 @t16)) % 0.50/0.70 (define @t18 () (= tptp.emptysetAx @t17)) % 0.50/0.70 (define @t19 () (@var "Xy" $$unsorted)) % 0.50/0.70 (define @t20 () (_ tptp.in @t19)) % 0.50/0.70 (define @t21 () (_ @t20 @t2)) % 0.50/0.70 (define @t22 () (= @t19 @t4)) % 0.50/0.70 (define @t23 () (or @t22 @t21)) % 0.50/0.70 (define @t24 () (_ tptp.setadjoin @t4)) % 0.50/0.70 (define @t25 () (_ @t24 @t2)) % 0.50/0.70 (define @t26 () (_ @t20 @t25)) % 0.50/0.70 (define @t27 () (= @t26 @t23)) % 0.50/0.70 (define @t28 () (@list @t4 @t2 @t19)) % 0.50/0.70 (define @t29 () (forall @t28 @t27)) % 0.50/0.70 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.50/0.70 (define @t31 () (=> @t6 @t7)) % 0.50/0.70 (define @t32 () (forall @t9 @t31)) % 0.50/0.70 (define @t33 () (_ tptp.powerset @t2)) % 0.50/0.70 (define @t34 () (_ tptp.in @t1)) % 0.50/0.70 (define @t35 () (_ @t34 @t33)) % 0.50/0.70 (define @t36 () (= @t35 @t32)) % 0.50/0.70 (define @t37 () (forall @t12 @t36)) % 0.50/0.70 (define @t38 () (= tptp.powersetAx @t37)) % 0.50/0.70 (define @t39 () (_ @t34 @t2)) % 0.50/0.70 (define @t40 () (and @t6 @t39)) % 0.50/0.70 (define @t41 () (@list @t1)) % 0.50/0.70 (define @t42 () (exists @t41 @t40)) % 0.50/0.70 (define @t43 () (_ tptp.setunion @t2)) % 0.50/0.70 (define @t44 () (_ @t5 @t43)) % 0.50/0.70 (define @t45 () (= @t44 @t42)) % 0.50/0.70 (define @t46 () (@list @t2 @t4)) % 0.50/0.70 (define @t47 () (forall @t46 @t45)) % 0.50/0.70 (define @t48 () (= tptp.setunionAx @t47)) % 0.50/0.70 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.50/0.70 (define @t50 () (_ @t49 tptp.omega)) % 0.50/0.70 (define @t51 () (_ @t24 @t4)) % 0.50/0.70 (define @t52 () (_ tptp.in @t51)) % 0.50/0.70 (define @t53 () (_ @t52 tptp.omega)) % 0.50/0.70 (define @t54 () (_ @t5 tptp.omega)) % 0.50/0.70 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.50/0.70 (define @t56 () (= tptp.omegaSAx @t55)) % 0.50/0.70 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.50/0.70 (define @t58 () (_ @t52 @t2)) % 0.50/0.70 (define @t59 () (and @t54 @t7)) % 0.50/0.70 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.50/0.70 (define @t61 () (_ @t49 @t2)) % 0.50/0.70 (define @t62 () (and @t61 @t60)) % 0.50/0.70 (define @t63 () (=> @t62 @t57)) % 0.50/0.70 (define @t64 () (@list @t2)) % 0.50/0.70 (define @t65 () (forall @t64 @t63)) % 0.50/0.70 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.50/0.70 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.50/0.70 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.50/0.70 (define @t69 () (and @t21 @t68)) % 0.50/0.70 (define @t70 () (@list @t19)) % 0.50/0.70 (define @t71 () (exists @t70 @t69)) % 0.50/0.70 (define @t72 () (= @t6 @t71)) % 0.50/0.70 (define @t73 () (forall @t9 @t72)) % 0.50/0.70 (define @t74 () (exists @t41 @t73)) % 0.50/0.70 (define @t75 () (_ @t67 @t4)) % 0.50/0.70 (define @t76 () (_ @t75 @t19)) % 0.50/0.70 (define @t77 () (lambda @t70 @t76)) % 0.50/0.70 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.50/0.70 (define @t79 () (forall @t9 @t78)) % 0.50/0.70 (define @t80 () (=> @t79 @t74)) % 0.50/0.70 (define @t81 () (@list @t67 @t2)) % 0.50/0.70 (define @t82 () (forall @t81 @t80)) % 0.50/0.70 (define @t83 () (= tptp.replAx @t82)) % 0.50/0.70 (define @t84 () (and @t6 @t7)) % 0.50/0.70 (define @t85 () (exists @t9 @t84)) % 0.50/0.70 (define @t86 () (not @t85)) % 0.50/0.70 (define @t87 () (and @t39 @t86)) % 0.50/0.70 (define @t88 () (exists @t41 @t87)) % 0.50/0.70 (define @t89 () (exists @t9 @t7)) % 0.50/0.70 (define @t90 () (=> @t89 @t88)) % 0.50/0.70 (define @t91 () (forall @t64 @t90)) % 0.50/0.70 (define @t92 () (= tptp.foundationAx @t91)) % 0.50/0.70 (define @t93 () (@var "E" $$unsorted)) % 0.50/0.70 (define @t94 () (_ @t5 @t93)) % 0.50/0.70 (define @t95 () (@var "D" $$unsorted)) % 0.50/0.70 (define @t96 () (_ @t20 @t95)) % 0.50/0.70 (define @t97 () (_ @t20 @t93)) % 0.50/0.70 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.50/0.70 (define @t99 () (or @t98 @t94)) % 0.50/0.70 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.50/0.70 (define @t101 () (=> @t100 @t99)) % 0.50/0.70 (define @t102 () (@list @t93)) % 0.50/0.70 (define @t103 () (forall @t102 @t101)) % 0.50/0.70 (define @t104 () (@var "C" $$unsorted)) % 0.50/0.70 (define @t105 () (_ @t20 @t104)) % 0.50/0.70 (define @t106 () (and @t96 @t105)) % 0.50/0.70 (define @t107 () (exists @t70 @t106)) % 0.50/0.70 (define @t108 () (not @t107)) % 0.50/0.70 (define @t109 () (_ @t5 @t104)) % 0.50/0.70 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.50/0.70 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.50/0.70 (define @t112 () (@list @t95 @t4)) % 0.50/0.70 (define @t113 () (exists @t112 @t111)) % 0.50/0.70 (define @t114 () (exists @t9 @t109)) % 0.50/0.70 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.50/0.70 (define @t116 () (and @t115 @t114)) % 0.50/0.70 (define @t117 () (=> @t116 @t113)) % 0.50/0.70 (define @t118 () (@list @t104)) % 0.50/0.70 (define @t119 () (forall @t118 @t117)) % 0.50/0.70 (define @t120 () (_ @t5 @t95)) % 0.50/0.70 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.50/0.70 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.50/0.70 (define @t123 () (or @t122 @t121)) % 0.50/0.70 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.50/0.70 (define @t125 () (and @t124 @t110)) % 0.50/0.70 (define @t126 () (=> @t125 @t123)) % 0.50/0.70 (define @t127 () (@list @t104 @t95)) % 0.50/0.70 (define @t128 () (forall @t127 @t126)) % 0.50/0.70 (define @t129 () (= @t4 @t19)) % 0.50/0.70 (define @t130 () (= @t109 @t105)) % 0.50/0.70 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.50/0.70 (define @t132 () (=> @t131 @t129)) % 0.50/0.70 (define @t133 () (and @t7 @t21)) % 0.50/0.70 (define @t134 () (=> @t133 @t132)) % 0.50/0.70 (define @t135 () (@list @t4 @t19)) % 0.50/0.70 (define @t136 () (forall @t135 @t134)) % 0.50/0.70 (define @t137 () (=> @t124 @t115)) % 0.50/0.70 (define @t138 () (forall @t118 @t137)) % 0.50/0.70 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.50/0.70 (define @t140 () (exists @t41 @t139)) % 0.50/0.70 (define @t141 () (forall @t64 @t140)) % 0.50/0.70 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.50/0.70 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.50/0.70 (define @t144 () (_ @t143 @t4)) % 0.50/0.70 (define @t145 () (lambda @t9 @t144)) % 0.50/0.70 (define @t146 () (_ tptp.descr @t145)) % 0.50/0.70 (define @t147 () (_ @t143 @t146)) % 0.50/0.70 (define @t148 () (_ tptp.exu @t145)) % 0.50/0.70 (define @t149 () (=> @t148 @t147)) % 0.50/0.70 (define @t150 () (@list @t143)) % 0.50/0.70 (define @t151 () (forall @t150 @t149)) % 0.50/0.70 (define @t152 () (= tptp.descrp @t151)) % 0.50/0.70 (define @t153 () (_ @t143 @t19)) % 0.50/0.70 (define @t154 () (lambda @t70 @t153)) % 0.50/0.70 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.50/0.70 (define @t156 () (_ @t155 @t154)) % 0.50/0.70 (define @t157 () (_ @t5 @t156)) % 0.50/0.70 (define @t158 () (=> @t144 @t157)) % 0.50/0.70 (define @t159 () (@list @t2 @t143 @t4)) % 0.50/0.70 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.50/0.70 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.50/0.70 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.50/0.70 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.50/0.70 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.50/0.70 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.50/0.70 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.50/0.70 (define @t167 () (and @t144 @t166)) % 0.50/0.70 (define @t168 () (exists @t9 @t167)) % 0.50/0.70 (define @t169 () (=> @t148 @t168)) % 0.50/0.70 (define @t170 () (forall @t150 @t169)) % 0.50/0.70 (define @t171 () (= tptp.exuE1 @t170)) % 0.50/0.70 (define @t172 () (@var "Xphi" Bool)) % 0.50/0.70 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 0.50/0.70 (define @t174 () (@list @t172 @t4)) % 0.50/0.70 (define @t175 () (forall @t174 @t173)) % 0.50/0.70 (define @t176 () (= tptp.prop2setE @t175)) % 0.50/0.70 (define @t177 () (@list @t172)) % 0.50/0.70 (define @t178 () (forall @t177 @t172)) % 0.50/0.70 (define @t179 () (=> @t15 @t178)) % 0.50/0.70 (define @t180 () (forall @t9 @t179)) % 0.50/0.70 (define @t181 () (= tptp.emptysetE @t180)) % 0.50/0.70 (define @t182 () (forall @t9 (=> @t15 false))) % 0.50/0.70 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 0.50/0.70 (define @t184 () (exists @t9 @t144)) % 0.50/0.70 (define @t185 () (=> @t148 @t184)) % 0.50/0.70 (define @t186 () (forall @t150 @t185)) % 0.50/0.70 (define @t187 () (= tptp.exuE3e @t186)) % 0.50/0.70 (define @t188 () (=> @t32 @t3)) % 0.50/0.70 (define @t189 () (forall @t9 (=> @t7 @t6))) % 0.50/0.70 (define @t190 () (=> @t189 @t188)) % 0.50/0.70 (define @t191 () (forall @t12 @t190)) % 0.50/0.70 (define @t192 () (= tptp.setext @t191)) % 0.50/0.70 (define @t193 () (= @t2 tptp.emptyset)) % 0.50/0.70 (define @t194 () (not @t7)) % 0.50/0.70 (define @t195 () (forall @t9 @t194)) % 0.50/0.70 (define @t196 () (=> @t195 @t193)) % 0.50/0.70 (define @t197 () (forall @t64 @t196)) % 0.50/0.70 (define @t198 () (= tptp.emptyI @t197)) % 0.50/0.70 (define @t199 () (=> @t7 (= @t157 @t144))) % 0.50/0.70 (define @t200 () (forall @t159 @t199)) % 0.50/0.70 (define @t201 () (= tptp.setbeta @t200)) % 0.50/0.70 (define @t202 () (_ tptp.nonempty @t2)) % 0.50/0.70 (define @t203 () (=> @t202 @t89)) % 0.50/0.70 (define @t204 () (forall @t64 @t203)) % 0.50/0.70 (define @t205 () (= tptp.nonemptyE1 @t204)) % 0.50/0.70 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 0.50/0.70 (define @t207 () (=> @t7 @t206)) % 0.50/0.70 (define @t208 () (forall @t159 @t207)) % 0.50/0.70 (define @t209 () (= tptp.nonemptyI @t208)) % 0.50/0.70 (define @t210 () (=> @t89 @t202)) % 0.50/0.70 (define @t211 () (forall @t64 @t210)) % 0.50/0.70 (define @t212 () (= tptp.nonemptyI1 @t211)) % 0.50/0.70 (define @t213 () (_ @t24 @t19)) % 0.50/0.70 (define @t214 () (_ @t5 @t213)) % 0.50/0.70 (define @t215 () (forall @t135 @t214)) % 0.50/0.70 (define @t216 () (= tptp.setadjoinIL @t215)) % 0.50/0.70 (define @t217 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.50/0.70 (define @t218 () (_ @t49 @t217)) % 0.50/0.70 (define @t219 () (forall @t28 (=> @t21 @t26))) % 0.50/0.70 (define @t220 () (= tptp.setadjoinIR @t219)) % 0.50/0.70 (define @t221 () (=> @t21 @t172)) % 0.50/0.70 (define @t222 () (=> @t221 @t172)) % 0.50/0.70 (define @t223 () (=> @t22 @t172)) % 0.50/0.70 (define @t224 () (=> @t223 @t222)) % 0.50/0.70 (define @t225 () (forall @t177 @t224)) % 0.50/0.70 (define @t226 () (=> @t26 @t225)) % 0.50/0.70 (define @t227 () (forall @t28 @t226)) % 0.50/0.70 (define @t228 () (= tptp.setadjoinE @t227)) % 0.50/0.70 (define @t229 () (=> @t26 @t23)) % 0.50/0.70 (define @t230 () (forall @t28 @t229)) % 0.50/0.70 (define @t231 () (= tptp.setadjoinOr @t230)) % 0.50/0.70 (define @t232 () (lambda @t9 true)) % 0.50/0.70 (define @t233 () (= (_ @t155 @t232) @t2)) % 0.50/0.70 (define @t234 () (forall @t64 @t233)) % 0.50/0.70 (define @t235 () (= tptp.setoftrueEq @t234)) % 0.50/0.70 (define @t236 () (=> @t32 @t35)) % 0.50/0.70 (define @t237 () (forall @t12 @t236)) % 0.50/0.70 (define @t238 () (= tptp.powersetI @t237)) % 0.50/0.70 (define @t239 () (_ @t49 @t33)) % 0.50/0.70 (define @t240 () (forall @t64 @t239)) % 0.50/0.70 (define @t241 () (= tptp.emptyinPowerset @t240)) % 0.50/0.70 (define @t242 () (@list @t2 @t1 @t4)) % 0.50/0.70 (define @t243 () (forall @t242 (=> @t35 @t31))) % 0.50/0.70 (define @t244 () (= tptp.powersetE @t243)) % 0.50/0.70 (define @t245 () (=> @t39 @t44)) % 0.50/0.70 (define @t246 () (@list @t2 @t4 @t1)) % 0.50/0.70 (define @t247 () (forall @t246 (=> @t6 @t245))) % 0.50/0.70 (define @t248 () (= tptp.setunionI @t247)) % 0.50/0.70 (define @t249 () (=> @t39 @t172)) % 0.50/0.70 (define @t250 () (forall @t41 (=> @t6 @t249))) % 0.50/0.70 (define @t251 () (=> @t250 @t172)) % 0.50/0.70 (define @t252 () (forall @t177 @t251)) % 0.50/0.70 (define @t253 () (=> @t44 @t252)) % 0.50/0.70 (define @t254 () (forall @t46 @t253)) % 0.50/0.70 (define @t255 () (= tptp.setunionE @t254)) % 0.50/0.70 (define @t256 () (_ tptp.powerset @t43)) % 0.50/0.70 (define @t257 () (_ @t5 @t256)) % 0.50/0.70 (define @t258 () (forall @t46 (=> @t7 @t257))) % 0.50/0.70 (define @t259 () (= tptp.subPowSU @t258)) % 0.50/0.70 (define @t260 () (= @t153 @t22)) % 0.50/0.70 (define @t261 () (forall @t70 @t260)) % 0.50/0.70 (define @t262 () (exists @t9 @t261)) % 0.50/0.70 (define @t263 () (=> @t148 @t262)) % 0.50/0.70 (define @t264 () (forall @t150 @t263)) % 0.50/0.70 (define @t265 () (= tptp.exuE2 @t264)) % 0.50/0.70 (define @t266 () (and @t7 true)) % 0.50/0.70 (define @t267 () (exists @t9 @t266)) % 0.50/0.70 (define @t268 () (=> @t202 @t267)) % 0.50/0.70 (define @t269 () (forall @t64 @t268)) % 0.50/0.70 (define @t270 () (= tptp.nonemptyImpWitness @t269)) % 0.50/0.70 (define @t271 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 0.50/0.70 (define @t272 () (_ @t5 @t271)) % 0.50/0.70 (define @t273 () (forall @t135 (=> @t272 @t129))) % 0.50/0.70 (define @t274 () (=> tptp.nonemptyImpWitness @t273)) % 0.50/0.70 (define @t275 () (=> tptp.exuE2 @t274)) % 0.50/0.70 (define @t276 () (=> tptp.subPowSU @t275)) % 0.50/0.71 (define @t277 () (=> tptp.setunionE @t276)) % 0.50/0.71 (define @t278 () (=> tptp.setunionI @t277)) % 0.50/0.71 (define @t279 () (=> tptp.powersetE @t278)) % 0.50/0.71 (define @t280 () (=> tptp.emptyInPowerset @t279)) % 0.50/0.71 (define @t281 () (=> tptp.emptyinPowerset @t280)) % 0.50/0.71 (define @t282 () (=> tptp.powersetI @t281)) % 0.50/0.71 (define @t283 () (=> tptp.setoftrueEq @t282)) % 0.50/0.71 (define @t284 () (=> tptp.setadjoinOr @t283)) % 0.50/0.71 (define @t285 () (=> tptp.setadjoinE @t284)) % 0.50/0.71 (define @t286 () (=> tptp.setadjoinIR @t285)) % 0.50/0.71 (define @t287 () (=> tptp.emptyinunitempty @t286)) % 0.50/0.71 (define @t288 () (=> tptp.setadjoinIL @t287)) % 0.50/0.71 (define @t289 () (=> tptp.nonemptyI1 @t288)) % 0.50/0.71 (define @t290 () (=> tptp.nonemptyI @t289)) % 0.50/0.71 (define @t291 () (=> tptp.nonemptyE1 @t290)) % 0.50/0.71 (define @t292 () (=> tptp.setbeta @t291)) % 0.50/0.71 (define @t293 () (=> tptp.noeltsimpempty @t292)) % 0.50/0.71 (define @t294 () (=> tptp.emptyI @t293)) % 0.50/0.71 (define @t295 () (=> tptp.setext @t294)) % 0.50/0.71 (define @t296 () (=> tptp.exuE3e @t295)) % 0.50/0.71 (define @t297 () (=> tptp.notinemptyset @t296)) % 0.50/0.71 (define @t298 () (=> tptp.emptysetimpfalse @t297)) % 0.50/0.71 (define @t299 () (=> tptp.emptysetE @t298)) % 0.50/0.71 (define @t300 () (=> tptp.prop2setE @t299)) % 0.50/0.71 (define @t301 () (=> tptp.exuE1 @t300)) % 0.50/0.71 (define @t302 () (=> tptp.dsetconstrER @t301)) % 0.50/0.71 (define @t303 () (=> tptp.dsetconstrEL @t302)) % 0.50/0.71 (define @t304 () (=> tptp.dsetconstrI @t303)) % 0.50/0.71 (define @t305 () (=> tptp.descrp @t304)) % 0.50/0.71 (define @t306 () (=> tptp.wellorderingAx @t305)) % 0.50/0.71 (define @t307 () (=> tptp.foundationAx @t306)) % 0.50/0.71 (define @t308 () (=> tptp.replAx @t307)) % 0.50/0.71 (define @t309 () (=> tptp.omegaIndAx @t308)) % 0.50/0.71 (define @t310 () (=> tptp.omegaSAx @t309)) % 0.50/0.71 (define @t311 () (=> tptp.omega0Ax @t310)) % 0.50/0.71 (define @t312 () (=> tptp.setunionAx @t311)) % 0.50/0.71 (define @t313 () (=> tptp.powersetAx @t312)) % 0.50/0.71 (define @t314 () (=> tptp.setadjoinAx @t313)) % 0.50/0.71 (define @t315 () (=> tptp.emptysetAx @t314)) % 0.50/0.71 (define @t316 () (=> tptp.setextAx @t315)) % 0.50/0.71 (define @t317 () (not @t316)) % 0.50/0.71 (define @t318 () (lambda @t150 @t168)) % 0.50/0.71 (define @t319 () (lambda @t9 @t172)) % 0.50/0.71 (define @t320 () (_ tptp.powerset tptp.emptyset)) % 0.50/0.71 (define @t321 () (_ tptp.dsetconstr @t320)) % 0.50/0.71 (define @t322 () (_ @t321 @t319)) % 0.50/0.71 (define @t323 () (lambda @t177 @t322)) % 0.50/0.71 (define @t324 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.50/0.71 (define @t325 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.50/0.71 (define @t326 () (tptp.in @t4 @t325)) % 0.50/0.71 (define @t327 () (forall @t135 (or (not @t326) @t129))) % 0.50/0.71 (define @t328 () (tptp.in @t4 @t2)) % 0.50/0.71 (define @t329 () (not @t328)) % 0.50/0.71 (define @t330 () (forall @t9 @t329)) % 0.50/0.71 (define @t331 () (not @t330)) % 0.50/0.71 (define @t332 () (forall @t64 (or @t193 @t331))) % 0.50/0.71 (define @t333 () (@var "BOUND_VARIABLE_8704" $$unsorted)) % 0.50/0.71 (define @t334 () (_ @t143 @t19)) % 0.50/0.71 (define @t335 () (not @t334)) % 0.50/0.71 (define @t336 () (not (_ @t143 @t333))) % 0.50/0.71 (define @t337 () (forall @t70 (= @t129 @t334))) % 0.50/0.71 (define @t338 () (not (forall @t9 (not @t337)))) % 0.50/0.71 (define @t339 () (@list @t143 @t333)) % 0.50/0.71 (define @t340 () (tptp.setunion @t2)) % 0.50/0.71 (define @t341 () (tptp.powerset @t340)) % 0.50/0.71 (define @t342 () (tptp.in @t4 @t341)) % 0.50/0.71 (define @t343 () (tptp.in @t1 @t2)) % 0.50/0.71 (define @t344 () (not @t343)) % 0.50/0.71 (define @t345 () (tptp.in @t4 @t1)) % 0.50/0.71 (define @t346 () (not @t345)) % 0.50/0.71 (define @t347 () (forall @t41 (or @t346 @t344))) % 0.50/0.71 (define @t348 () (not @t347)) % 0.50/0.71 (define @t349 () (tptp.in @t4 @t340)) % 0.50/0.71 (define @t350 () (tptp.powerset @t2)) % 0.50/0.71 (define @t351 () (tptp.in @t1 @t350)) % 0.50/0.71 (define @t352 () (tptp.in tptp.emptyset @t350)) % 0.50/0.71 (define @t353 () (forall @t64 @t352)) % 0.50/0.71 (define @t354 () (forall @t9 (or @t346 @t328))) % 0.50/0.71 (define @t355 () (not @t354)) % 0.50/0.71 (define @t356 () (@var "BOUND_VARIABLE_16275" $$unsorted)) % 0.50/0.71 (define @t357 () (lambda (@list @t356) true)) % 0.50/0.71 (define @t358 () (tptp.dsetconstr @t2 @t357)) % 0.50/0.71 (define @t359 () (tptp.in @t19 @t2)) % 0.50/0.71 (define @t360 () (tptp.setadjoin @t4 @t2)) % 0.50/0.71 (define @t361 () (tptp.in @t19 @t360)) % 0.50/0.71 (define @t362 () (forall @t28 (or (not @t361) @t129 @t359))) % 0.50/0.71 (define @t363 () (not @t359)) % 0.50/0.71 (define @t364 () (=> (forall @t28 (or @t363 @t361)) (=> @t362 (=> @t362 (=> (forall @t64 (= @t2 @t358)) (=> (forall @t12 (or @t355 @t351)) (=> @t353 (=> @t353 (=> (forall @t242 (or (not @t351) @t346 @t328)) (=> (forall @t246 (or @t346 @t344 @t349)) (=> (forall @t46 (or (not @t349) @t348)) (=> (forall @t46 (or @t329 @t342)) (=> (forall @t339 (or @t338 @t336 (not (forall @t70 (or @t335 (= @t19 @t333)))))) (=> @t332 @t327)))))))))))))) % 0.50/0.71 (define @t365 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.50/0.71 (define @t366 () (tptp.in tptp.emptyset @t365)) % 0.50/0.71 (define @t367 () (=> @t218 @t364)) % 0.50/0.71 (define @t368 () (tptp.setadjoin @t4 @t19)) % 0.50/0.71 (define @t369 () (tptp.in @t4 @t368)) % 0.50/0.71 (define @t370 () (forall @t135 @t369)) % 0.50/0.71 (define @t371 () (=> @t370 @t367)) % 0.50/0.71 (define @t372 () (@var "BOUND_VARIABLE_8545" $$unsorted)) % 0.50/0.71 (define @t373 () (not (tptp.in @t372 tptp.emptyset))) % 0.50/0.71 (define @t374 () (@list @t372)) % 0.50/0.71 (define @t375 () (forall @t374 @t373)) % 0.50/0.71 (define @t376 () (=> @t375 @t371)) % 0.50/0.71 (define @t377 () (tptp.dsetconstr @t2 @t143)) % 0.50/0.71 (define @t378 () (_ @t143 @t4)) % 0.50/0.71 (define @t379 () (not @t378)) % 0.50/0.71 (define @t380 () (forall @t159 (or @t329 @t379 (not (= tptp.emptyset @t377))))) % 0.50/0.71 (define @t381 () (=> @t380 @t376)) % 0.50/0.71 (define @t382 () (=> @t332 @t381)) % 0.50/0.71 (define @t383 () (tptp.in @t4 @t377)) % 0.50/0.71 (define @t384 () (forall @t159 (or @t329 (= @t378 @t383)))) % 0.50/0.71 (define @t385 () (=> @t384 @t382)) % 0.50/0.71 (define @t386 () (forall @t64 (or @t331 @t193))) % 0.50/0.71 (define @t387 () (=> @t386 @t385)) % 0.50/0.71 (define @t388 () (=> @t386 @t387)) % 0.50/0.71 (define @t389 () (forall @t9 (or @t329 @t345))) % 0.50/0.71 (define @t390 () (not @t389)) % 0.50/0.71 (define @t391 () (or @t390 @t355 @t3)) % 0.50/0.71 (define @t392 () (forall @t12 @t391)) % 0.50/0.71 (define @t393 () (=> @t392 @t388)) % 0.50/0.71 (define @t394 () (@var "BOUND_VARIABLE_8442" $$unsorted)) % 0.50/0.71 (define @t395 () (not (_ @t143 @t394))) % 0.50/0.71 (define @t396 () (not (forall @t9 @t379))) % 0.50/0.71 (define @t397 () (@list @t143 @t394)) % 0.50/0.71 (define @t398 () (forall @t397 (or @t396 @t395 (not (forall @t70 (or @t335 (= @t19 @t394))))))) % 0.50/0.71 (define @t399 () (=> @t398 @t393)) % 0.50/0.71 (define @t400 () (tptp.in @t4 tptp.emptyset)) % 0.50/0.71 (define @t401 () (forall @t9 (not @t400))) % 0.50/0.71 (define @t402 () (=> @t401 @t399)) % 0.50/0.71 (define @t403 () (=> @t401 @t402)) % 0.50/0.71 (define @t404 () (=> @t401 @t403)) % 0.50/0.71 (define @t405 () (@var "BOUND_VARIABLE_10281" $$unsorted)) % 0.50/0.71 (define @t406 () (lambda (@list @t405) false)) % 0.50/0.71 (define @t407 () (tptp.powerset tptp.emptyset)) % 0.50/0.71 (define @t408 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t407 @t406))))) % 0.50/0.71 (define @t409 () (=> @t408 @t404)) % 0.50/0.71 (define @t410 () (not @t383)) % 0.50/0.71 (define @t411 () (forall @t159 (or @t410 @t378))) % 0.50/0.71 (define @t412 () (=> @t411 @t409)) % 0.50/0.71 (define @t413 () (forall @t159 (or @t410 @t328))) % 0.50/0.71 (define @t414 () (=> @t413 @t412)) % 0.50/0.71 (define @t415 () (forall @t159 (or @t329 @t379 @t383))) % 0.50/0.71 (define @t416 () (=> @t415 @t414)) % 0.50/0.71 (define @t417 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 0.50/0.71 (define @t418 () (not (_ @t143 @t417))) % 0.50/0.71 (define @t419 () (_ @t143 (tptp.descr @t143))) % 0.50/0.71 (define @t420 () (@list @t143 @t417)) % 0.50/0.71 (define @t421 () (forall @t420 (or @t419 @t418 (not (forall @t70 (or @t335 (= @t19 @t417))))))) % 0.50/0.71 (define @t422 () (=> @t421 @t416)) % 0.50/0.71 (define @t423 () (@var "BOUND_VARIABLE_8233" $$unsorted)) % 0.50/0.71 (define @t424 () (tptp.in @t423 @t95)) % 0.50/0.71 (define @t425 () (not (tptp.in @t423 @t93))) % 0.50/0.71 (define @t426 () (tptp.in @t4 @t93)) % 0.50/0.71 (define @t427 () (tptp.in @t93 @t1)) % 0.50/0.71 (define @t428 () (not @t427)) % 0.50/0.71 (define @t429 () (or @t428 @t426 @t425 @t424)) % 0.50/0.71 (define @t430 () (@list @t93 @t423)) % 0.50/0.71 (define @t431 () (forall @t430 @t429)) % 0.50/0.71 (define @t432 () (not @t431)) % 0.50/0.71 (define @t433 () (tptp.in @t19 @t104)) % 0.50/0.71 (define @t434 () (tptp.in @t19 @t95)) % 0.50/0.71 (define @t435 () (forall @t70 (or (not @t434) (not @t433)))) % 0.50/0.71 (define @t436 () (not @t435)) % 0.50/0.71 (define @t437 () (tptp.in @t4 @t104)) % 0.50/0.71 (define @t438 () (not @t437)) % 0.50/0.71 (define @t439 () (tptp.in @t95 @t1)) % 0.50/0.71 (define @t440 () (not @t439)) % 0.50/0.71 (define @t441 () (not (forall @t112 (or @t440 @t438 @t436 @t432)))) % 0.50/0.71 (define @t442 () (@var "BOUND_VARIABLE_8262" $$unsorted)) % 0.50/0.71 (define @t443 () (not (tptp.in @t442 @t104))) % 0.50/0.71 (define @t444 () (forall @t9 (or @t438 @t328))) % 0.50/0.71 (define @t445 () (not @t444)) % 0.50/0.71 (define @t446 () (or @t445 @t443 @t441)) % 0.50/0.71 (define @t447 () (forall (@list @t104 @t442) @t446)) % 0.50/0.71 (define @t448 () (not @t447)) % 0.50/0.71 (define @t449 () (@var "BOUND_VARIABLE_8185" $$unsorted)) % 0.50/0.71 (define @t450 () (tptp.in @t449 @t104)) % 0.50/0.71 (define @t451 () (not (tptp.in @t449 @t95))) % 0.50/0.71 (define @t452 () (@var "BOUND_VARIABLE_8179" $$unsorted)) % 0.50/0.71 (define @t453 () (tptp.in @t452 @t95)) % 0.50/0.71 (define @t454 () (not (tptp.in @t452 @t104))) % 0.50/0.71 (define @t455 () (tptp.in @t104 @t1)) % 0.50/0.71 (define @t456 () (not @t455)) % 0.50/0.71 (define @t457 () (or @t456 @t440 @t454 @t453 @t451 @t450)) % 0.50/0.71 (define @t458 () (@list @t104 @t95 @t452 @t449)) % 0.50/0.71 (define @t459 () (forall @t458 @t457)) % 0.50/0.71 (define @t460 () (not @t459)) % 0.50/0.71 (define @t461 () (forall @t118 (or @t456 (= @t437 @t433)))) % 0.50/0.71 (define @t462 () (not @t461)) % 0.50/0.71 (define @t463 () (forall @t135 (or @t329 @t363 @t462 @t129))) % 0.50/0.71 (define @t464 () (not @t463)) % 0.50/0.71 (define @t465 () (@var "BOUND_VARIABLE_8128" $$unsorted)) % 0.50/0.71 (define @t466 () (tptp.in @t465 @t2)) % 0.50/0.71 (define @t467 () (not (tptp.in @t465 @t104))) % 0.50/0.71 (define @t468 () (or @t456 @t467 @t466)) % 0.50/0.71 (define @t469 () (@list @t104 @t465)) % 0.50/0.71 (define @t470 () (forall @t469 @t468)) % 0.50/0.71 (define @t471 () (not @t470)) % 0.50/0.71 (define @t472 () (or @t471 @t464 @t460 @t448)) % 0.50/0.71 (define @t473 () (forall @t64 (not (forall @t41 @t472)))) % 0.50/0.71 (define @t474 () (=> @t473 @t422)) % 0.50/0.71 (define @t475 () (forall @t9 (or @t346 @t329))) % 0.50/0.71 (define @t476 () (not @t475)) % 0.50/0.71 (define @t477 () (not (forall @t41 (or @t344 @t476)))) % 0.50/0.71 (define @t478 () (@var "BOUND_VARIABLE_8103" $$unsorted)) % 0.50/0.71 (define @t479 () (not (tptp.in @t478 @t2))) % 0.50/0.71 (define @t480 () (or @t479 @t477)) % 0.50/0.71 (define @t481 () (forall (@list @t2 @t478) @t480)) % 0.50/0.71 (define @t482 () (=> @t481 @t474)) % 0.50/0.71 (define @t483 () (_ @t67 @t19 @t4)) % 0.50/0.71 (define @t484 () (not (forall @t70 (or @t363 (not @t483))))) % 0.50/0.71 (define @t485 () (forall @t9 (= @t345 @t484))) % 0.50/0.71 (define @t486 () (not (forall @t41 (not @t485)))) % 0.50/0.71 (define @t487 () (@var "BOUND_VARIABLE_7993" $$unsorted)) % 0.50/0.71 (define @t488 () (= @t19 @t487)) % 0.50/0.71 (define @t489 () (_ @t67 @t4 @t19)) % 0.50/0.71 (define @t490 () (not (forall @t70 (or (not @t489) @t488)))) % 0.50/0.71 (define @t491 () (_ @t67 @t4 @t487)) % 0.50/0.71 (define @t492 () (@list @t487)) % 0.50/0.71 (define @t493 () (not (forall @t492 (or (not @t491) @t490)))) % 0.50/0.71 (define @t494 () (forall @t9 (or @t329 @t493))) % 0.50/0.71 (define @t495 () (forall @t81 (or (not @t494) @t486))) % 0.50/0.71 (define @t496 () (=> @t495 @t482)) % 0.50/0.71 (define @t497 () (@var "BOUND_VARIABLE_7974" $$unsorted)) % 0.50/0.71 (define @t498 () (tptp.in @t497 @t2)) % 0.50/0.71 (define @t499 () (not (tptp.in @t497 tptp.omega))) % 0.50/0.71 (define @t500 () (tptp.setadjoin @t4 @t4)) % 0.50/0.71 (define @t501 () (tptp.in @t500 @t2)) % 0.50/0.71 (define @t502 () (tptp.in @t4 tptp.omega)) % 0.50/0.71 (define @t503 () (not @t502)) % 0.50/0.71 (define @t504 () (forall @t9 (or @t503 @t329 @t501))) % 0.50/0.71 (define @t505 () (not @t504)) % 0.50/0.71 (define @t506 () (tptp.in tptp.emptyset @t2)) % 0.50/0.71 (define @t507 () (not @t506)) % 0.50/0.71 (define @t508 () (or @t507 @t505 @t499 @t498)) % 0.50/0.71 (define @t509 () (@list @t2 @t497)) % 0.50/0.71 (define @t510 () (forall @t509 @t508)) % 0.50/0.71 (define @t511 () (=> @t510 @t496)) % 0.50/0.71 (define @t512 () (tptp.in @t500 tptp.omega)) % 0.50/0.71 (define @t513 () (forall @t9 (or @t503 @t512))) % 0.50/0.71 (define @t514 () (=> @t513 @t511)) % 0.50/0.71 (define @t515 () (tptp.in tptp.emptyset tptp.omega)) % 0.50/0.71 (define @t516 () (=> @t50 @t514)) % 0.50/0.71 (define @t517 () (forall @t46 (= @t348 @t349))) % 0.50/0.71 (define @t518 () (=> @t517 @t516)) % 0.50/0.71 (define @t519 () (forall @t12 (= @t354 @t351))) % 0.50/0.71 (define @t520 () (=> @t519 @t518)) % 0.50/0.71 (define @t521 () (or @t129 @t359)) % 0.50/0.71 (define @t522 () (forall @t28 (= @t361 @t521))) % 0.50/0.71 (define @t523 () (=> @t522 @t520)) % 0.50/0.71 (define @t524 () (=> @t401 @t523)) % 0.50/0.71 (define @t525 () (forall @t9 (= @t328 @t345))) % 0.50/0.71 (define @t526 () (forall @t12 (or (not @t525) @t3))) % 0.50/0.71 (define @t527 () (=> @t526 @t524)) % 0.50/0.71 (define @t528 () (=> @t411 (=> true @t409))) % 0.50/0.71 (define @t529 () (=> @t413 @t528)) % 0.50/0.71 (define @t530 () (=> @t415 @t529)) % 0.50/0.71 (define @t531 () (=> @t421 @t530)) % 0.50/0.71 (define @t532 () (=> @t473 @t531)) % 0.50/0.71 (define @t533 () (=> @t481 @t532)) % 0.50/0.71 (define @t534 () (=> @t495 @t533)) % 0.50/0.71 (define @t535 () (=> @t510 @t534)) % 0.50/0.71 (define @t536 () (=> @t513 @t535)) % 0.50/0.71 (define @t537 () (=> @t50 @t536)) % 0.50/0.71 (define @t538 () (=> @t517 @t537)) % 0.50/0.71 (define @t539 () (=> @t519 @t538)) % 0.50/0.71 (define @t540 () (=> @t522 @t539)) % 0.50/0.71 (define @t541 () (=> @t401 @t540)) % 0.50/0.71 (define @t542 () (=> @t526 @t541)) % 0.50/0.71 (define @t543 () (not @t193)) % 0.50/0.71 (define @t544 () (not @t195)) % 0.50/0.71 (define @t545 () (_ @t324 @t2)) % 0.50/0.71 (define @t546 () (=> @t545 @t267)) % 0.50/0.71 (define @t547 () (forall @t64 @t546)) % 0.50/0.71 (define @t548 () (=> tptp.nonemptyImpWitness @t327)) % 0.50/0.71 (define @t549 () (or @t335 (= @t333 @t19))) % 0.50/0.71 (define @t550 () (forall @t70 @t549)) % 0.50/0.71 (define @t551 () (not @t550)) % 0.50/0.71 (define @t552 () (or @t338 @t336 @t551)) % 0.50/0.71 (define @t553 () (or @t336 @t551)) % 0.50/0.71 (define @t554 () (or @t553 @t338)) % 0.50/0.71 (define @t555 () (forall @t339 @t554)) % 0.50/0.71 (define @t556 () (@list @t333)) % 0.50/0.71 (define @t557 () (forall @t556 @t554)) % 0.50/0.71 (define @t558 () (forall @t556 @t553)) % 0.50/0.71 (define @t559 () (@list @t4)) % 0.50/0.71 (define @t560 () (or @t558 @t338)) % 0.50/0.71 (define @t561 () (forall @t70 (or @t335 @t129))) % 0.50/0.71 (define @t562 () (not @t561)) % 0.50/0.71 (define @t563 () (forall @t9 (or @t379 @t562))) % 0.50/0.71 (define @t564 () (not @t563)) % 0.50/0.71 (define @t565 () (not @t564)) % 0.50/0.71 (define @t566 () (= @t153 @t129)) % 0.50/0.71 (define @t567 () (not @t144)) % 0.50/0.71 (define @t568 () (or @t567 @t562)) % 0.50/0.71 (define @t569 () (not @t153)) % 0.50/0.71 (define @t570 () (or @t569 @t129)) % 0.50/0.71 (define @t571 () (_ @t145 @t19)) % 0.50/0.71 (define @t572 () (not @t571)) % 0.50/0.71 (define @t573 () (or @t572 @t129)) % 0.50/0.71 (define @t574 () (forall @t70 @t573)) % 0.50/0.71 (define @t575 () (not @t574)) % 0.50/0.71 (define @t576 () (_ @t145 @t4)) % 0.50/0.71 (define @t577 () (not @t576)) % 0.50/0.71 (define @t578 () (or @t577 @t575)) % 0.50/0.71 (define @t579 () (forall @t9 @t578)) % 0.50/0.71 (define @t580 () (not @t579)) % 0.50/0.71 (define @t581 () (lambda @t150 @t564)) % 0.50/0.71 (define @t582 () (_ @t581 @t145)) % 0.50/0.71 (define @t583 () (=> @t582 @t262)) % 0.50/0.71 (define @t584 () (forall @t150 @t583)) % 0.50/0.71 (define @t585 () (and @t144 @t561)) % 0.50/0.71 (define @t586 () (forall @t9 (not @t585))) % 0.50/0.71 (define @t587 () (not @t586)) % 0.50/0.71 (define @t588 () (=> tptp.exuE2 @t548)) % 0.50/0.71 (define @t589 () (or @t194 @t257)) % 0.50/0.71 (define @t590 () (=> tptp.subPowSU @t588)) % 0.50/0.71 (define @t591 () (not @t44)) % 0.50/0.71 (define @t592 () (or @t591 @t348)) % 0.50/0.71 (define @t593 () (not false)) % 0.50/0.71 (define @t594 () (and @t593 @t348)) % 0.50/0.71 (define @t595 () (or @t594 false)) % 0.50/0.71 (define @t596 () (not @t172)) % 0.50/0.71 (define @t597 () (and @t596 @t348)) % 0.50/0.71 (define @t598 () (not (= @t172 false))) % 0.50/0.71 (define @t599 () (or @t172 @t597 @t172)) % 0.50/0.71 (define @t600 () (or @t597 @t172)) % 0.50/0.71 (define @t601 () (or @t172 @t347)) % 0.50/0.71 (define @t602 () (not @t39)) % 0.50/0.71 (define @t603 () (not @t6)) % 0.50/0.71 (define @t604 () (or @t603 @t602)) % 0.50/0.71 (define @t605 () (forall @t41 @t604)) % 0.50/0.71 (define @t606 () (or @t172 @t605)) % 0.50/0.71 (define @t607 () (or @t172 @t604)) % 0.50/0.71 (define @t608 () (or @t603 @t602 @t172)) % 0.50/0.71 (define @t609 () (=> tptp.setunionE @t590)) % 0.50/0.71 (define @t610 () (or @t603 @t602 @t44)) % 0.50/0.71 (define @t611 () (=> tptp.setunionI @t609)) % 0.50/0.71 (define @t612 () (not @t35)) % 0.50/0.71 (define @t613 () (or @t612 @t603 @t7)) % 0.50/0.71 (define @t614 () (or @t603 @t7)) % 0.50/0.71 (define @t615 () (=> tptp.powersetE @t611)) % 0.50/0.71 (define @t616 () (=> tptp.emptyInPowerset @t615)) % 0.50/0.71 (define @t617 () (=> tptp.emptyinPowerset @t616)) % 0.50/0.71 (define @t618 () (or @t355 @t35)) % 0.50/0.71 (define @t619 () (=> tptp.powersetI @t617)) % 0.50/0.71 (define @t620 () (_ @t155 @t357)) % 0.50/0.71 (define @t621 () (= @t2 @t620)) % 0.50/0.71 (define @t622 () (=> tptp.setoftrueEq @t619)) % 0.50/0.71 (define @t623 () (not @t26)) % 0.50/0.71 (define @t624 () (or @t623 @t129 @t21)) % 0.50/0.71 (define @t625 () (or @t129 @t21)) % 0.50/0.71 (define @t626 () (=> tptp.setadjoinOr @t622)) % 0.50/0.71 (define @t627 () (or @t623 @t129 @t359)) % 0.50/0.71 (define @t628 () (and @t359 @t593)) % 0.50/0.71 (define @t629 () (and @t129 @t593)) % 0.50/0.71 (define @t630 () (or @t629 @t628)) % 0.50/0.71 (define @t631 () (or @t629 @t628 false)) % 0.50/0.71 (define @t632 () (and @t359 @t596)) % 0.50/0.71 (define @t633 () (and @t129 @t596)) % 0.50/0.71 (define @t634 () (or @t172 @t633 @t632 @t172)) % 0.50/0.71 (define @t635 () (or @t633 @t632 @t172)) % 0.50/0.71 (define @t636 () (and @t21 @t596)) % 0.50/0.71 (define @t637 () (or @t633 @t636 @t172)) % 0.50/0.71 (define @t638 () (=> @t129 @t172)) % 0.50/0.71 (define @t639 () (=> tptp.setadjoinE @t626)) % 0.50/0.71 (define @t640 () (not @t21)) % 0.50/0.71 (define @t641 () (or @t640 @t26)) % 0.50/0.71 (define @t642 () (=> tptp.setadjoinIR @t639)) % 0.50/0.71 (define @t643 () (=> tptp.emptyinunitempty @t642)) % 0.50/0.71 (define @t644 () (=> tptp.setadjoinIL @t643)) % 0.50/0.71 (define @t645 () (not (= tptp.emptyset tptp.emptyset))) % 0.50/0.71 (define @t646 () (or @t373 @t645)) % 0.50/0.71 (define @t647 () (not (tptp.in @t372 @t2))) % 0.50/0.71 (define @t648 () (or @t543 @t647 @t543)) % 0.50/0.71 (define @t649 () (or @t647 @t543)) % 0.50/0.71 (define @t650 () (forall @t64 @t649)) % 0.50/0.71 (define @t651 () (forall @t374 @t650)) % 0.50/0.71 (define @t652 () (forall (@list @t372 @t2) @t649)) % 0.50/0.71 (define @t653 () (forall (@list @t2 @t372) @t649)) % 0.50/0.71 (define @t654 () (forall @t374 @t649)) % 0.50/0.71 (define @t655 () (forall @t374 @t647)) % 0.50/0.71 (define @t656 () (or @t655 @t543)) % 0.50/0.71 (define @t657 () (not @t331)) % 0.50/0.71 (define @t658 () (=> @t89 @t545)) % 0.50/0.71 (define @t659 () (forall @t64 @t658)) % 0.50/0.71 (define @t660 () (=> tptp.nonemptyI1 @t644)) % 0.50/0.71 (define @t661 () (lambda @t70 @t334)) % 0.50/0.71 (define @t662 () (tptp.dsetconstr @t2 @t661)) % 0.50/0.71 (define @t663 () (= tptp.emptyset @t662)) % 0.50/0.71 (define @t664 () (not @t663)) % 0.50/0.71 (define @t665 () (or @t329 @t379 @t664)) % 0.50/0.71 (define @t666 () (= tptp.emptyset @t156)) % 0.50/0.71 (define @t667 () (not @t666)) % 0.50/0.71 (define @t668 () (or @t194 @t567 @t667)) % 0.50/0.71 (define @t669 () (=> @t144 @t667)) % 0.50/0.71 (define @t670 () (not (= @t156 tptp.emptyset))) % 0.50/0.71 (define @t671 () (_ @t324 @t156)) % 0.50/0.71 (define @t672 () (=> @t144 @t671)) % 0.50/0.71 (define @t673 () (=> @t7 @t672)) % 0.50/0.71 (define @t674 () (forall @t159 @t673)) % 0.50/0.71 (define @t675 () (=> tptp.nonemptyI @t660)) % 0.50/0.71 (define @t676 () (=> @t545 @t89)) % 0.50/0.71 (define @t677 () (forall @t64 @t676)) % 0.50/0.71 (define @t678 () (=> tptp.nonemptyE1 @t675)) % 0.50/0.71 (define @t679 () (tptp.in @t4 @t662)) % 0.50/0.71 (define @t680 () (= @t378 @t679)) % 0.50/0.71 (define @t681 () (or @t329 @t680)) % 0.50/0.71 (define @t682 () (= @t144 @t157)) % 0.50/0.71 (define @t683 () (or @t194 @t682)) % 0.50/0.71 (define @t684 () (=> tptp.setbeta @t678)) % 0.50/0.71 (define @t685 () (=> tptp.noeltsimpempty @t684)) % 0.50/0.71 (define @t686 () (=> tptp.emptyI @t685)) % 0.50/0.71 (define @t687 () (=> @t354 @t3)) % 0.50/0.71 (define @t688 () (or @t194 @t6)) % 0.50/0.71 (define @t689 () (=> tptp.setext @t686)) % 0.50/0.71 (define @t690 () (or @t335 (= @t394 @t19))) % 0.50/0.71 (define @t691 () (forall @t70 @t690)) % 0.50/0.71 (define @t692 () (not @t691)) % 0.50/0.71 (define @t693 () (or @t396 @t395 @t692)) % 0.50/0.71 (define @t694 () (or @t395 @t692)) % 0.50/0.71 (define @t695 () (or @t694 @t396)) % 0.50/0.71 (define @t696 () (forall @t397 @t695)) % 0.50/0.71 (define @t697 () (@list @t394)) % 0.50/0.71 (define @t698 () (forall @t697 @t695)) % 0.50/0.71 (define @t699 () (forall @t697 @t694)) % 0.50/0.71 (define @t700 () (or @t699 @t396)) % 0.50/0.71 (define @t701 () (forall @t9 @t567)) % 0.50/0.71 (define @t702 () (not @t701)) % 0.50/0.71 (define @t703 () (=> @t582 @t184)) % 0.50/0.71 (define @t704 () (forall @t150 @t703)) % 0.50/0.71 (define @t705 () (=> tptp.exuE3e @t689)) % 0.50/0.71 (define @t706 () (=> tptp.notinemptyset @t705)) % 0.50/0.71 (define @t707 () (=> tptp.emptysetimpfalse @t706)) % 0.50/0.71 (define @t708 () (or @t172 @t172)) % 0.50/0.71 (define @t709 () (=> tptp.emptysetE @t707)) % 0.50/0.71 (define @t710 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 0.50/0.71 (define @t711 () (@list @t710)) % 0.50/0.71 (define @t712 () (lambda @t711 false)) % 0.50/0.71 (define @t713 () (@list @t710)) % 0.50/0.71 (define @t714 () (tptp.dsetconstr @t407 @t712)) % 0.50/0.71 (define @t715 () (tptp.in @t4 @t714)) % 0.50/0.71 (define @t716 () (not @t715)) % 0.50/0.71 (define @t717 () (or @t716 false)) % 0.50/0.71 (define @t718 () (lambda @t711 @t172)) % 0.50/0.71 (define @t719 () (tptp.dsetconstr @t407 @t718)) % 0.50/0.71 (define @t720 () (tptp.in @t4 @t719)) % 0.50/0.71 (define @t721 () (not @t720)) % 0.50/0.71 (define @t722 () (or @t172 @t721 @t172)) % 0.50/0.71 (define @t723 () (or @t721 @t172)) % 0.50/0.71 (define @t724 () (forall @t177 @t723)) % 0.50/0.71 (define @t725 () (forall @t9 @t724)) % 0.50/0.71 (define @t726 () (forall (@list @t4 @t172) @t723)) % 0.50/0.71 (define @t727 () (_ @t321 @t718)) % 0.50/0.71 (define @t728 () (_ @t5 @t727)) % 0.50/0.71 (define @t729 () (not @t728)) % 0.50/0.71 (define @t730 () (or @t729 @t172)) % 0.50/0.71 (define @t731 () (=> (_ @t5 @t322) @t172)) % 0.50/0.71 (define @t732 () (_ @t323 @t172)) % 0.50/0.71 (define @t733 () (=> (_ @t5 @t732) @t172)) % 0.50/0.71 (define @t734 () (forall @t174 @t733)) % 0.50/0.71 (define @t735 () (=> tptp.prop2setE @t709)) % 0.50/0.71 (define @t736 () (=> @t582 @t168)) % 0.50/0.71 (define @t737 () (forall @t150 @t736)) % 0.50/0.71 (define @t738 () (=> tptp.exuE1 @t735)) % 0.50/0.71 (define @t739 () (not @t679)) % 0.50/0.71 (define @t740 () (or @t739 @t378)) % 0.50/0.71 (define @t741 () (not @t157)) % 0.50/0.71 (define @t742 () (or @t741 @t144)) % 0.50/0.71 (define @t743 () (=> tptp.dsetconstrER @t738)) % 0.50/0.71 (define @t744 () (or @t739 @t328)) % 0.50/0.71 (define @t745 () (or @t741 @t7)) % 0.50/0.71 (define @t746 () (=> tptp.dsetconstrEL @t743)) % 0.50/0.71 (define @t747 () (or @t329 @t379 @t679)) % 0.50/0.71 (define @t748 () (or @t194 @t567 @t157)) % 0.50/0.71 (define @t749 () (=> tptp.dsetconstrI @t746)) % 0.50/0.71 (define @t750 () (or @t335 (= @t417 @t19))) % 0.50/0.71 (define @t751 () (forall @t70 @t750)) % 0.50/0.71 (define @t752 () (not @t751)) % 0.50/0.71 (define @t753 () (or @t419 @t418 @t752)) % 0.50/0.71 (define @t754 () (or @t418 @t752)) % 0.50/0.71 (define @t755 () (or @t754 @t419)) % 0.50/0.71 (define @t756 () (forall @t420 @t755)) % 0.50/0.71 (define @t757 () (@list @t417)) % 0.50/0.71 (define @t758 () (forall @t757 @t755)) % 0.50/0.71 (define @t759 () (forall @t757 @t754)) % 0.50/0.71 (define @t760 () (or @t759 @t419)) % 0.50/0.71 (define @t761 () (lambda @t9 @t378)) % 0.50/0.71 (define @t762 () (tptp.descr @t761)) % 0.50/0.71 (define @t763 () (_ @t143 @t762)) % 0.50/0.71 (define @t764 () (or @t563 @t763)) % 0.50/0.71 (define @t765 () (or @t563 @t147)) % 0.50/0.71 (define @t766 () (=> @t582 @t147)) % 0.50/0.71 (define @t767 () (forall @t150 @t766)) % 0.50/0.71 (define @t768 () (=> tptp.descrp @t749)) % 0.50/0.71 (define @t769 () (and @t470 @t463 @t459 @t447)) % 0.50/0.71 (define @t770 () (forall @t41 (not @t769))) % 0.50/0.71 (define @t771 () (not @t770)) % 0.50/0.71 (define @t772 () (@list @t442)) % 0.50/0.71 (define @t773 () (forall @t772 @t446)) % 0.50/0.71 (define @t774 () (forall @t772 @t443)) % 0.50/0.71 (define @t775 () (or @t445 @t774 @t441)) % 0.50/0.71 (define @t776 () (forall @t9 @t438)) % 0.50/0.71 (define @t777 () (or @t445 @t776 @t441)) % 0.50/0.71 (define @t778 () (not @t776)) % 0.50/0.71 (define @t779 () (and @t444 @t778)) % 0.50/0.71 (define @t780 () (not @t109)) % 0.50/0.71 (define @t781 () (not @t110)) % 0.50/0.71 (define @t782 () (or @t781 @t780 @t436 @t432)) % 0.50/0.71 (define @t783 () (and @t110 @t109 @t435 @t431)) % 0.50/0.71 (define @t784 () (forall @t112 (not @t783))) % 0.50/0.71 (define @t785 () (not @t784)) % 0.50/0.71 (define @t786 () (or @t425 @t424)) % 0.50/0.71 (define @t787 () (or @t428 @t786 @t426)) % 0.50/0.71 (define @t788 () (forall @t430 @t787)) % 0.50/0.71 (define @t789 () (@list @t423)) % 0.50/0.71 (define @t790 () (forall @t789 @t787)) % 0.50/0.71 (define @t791 () (forall @t789 @t786)) % 0.50/0.71 (define @t792 () (or @t428 @t791 @t426)) % 0.50/0.71 (define @t793 () (tptp.in @t19 @t93)) % 0.50/0.71 (define @t794 () (forall @t70 (or (not @t793) @t434))) % 0.50/0.71 (define @t795 () (not @t100)) % 0.50/0.71 (define @t796 () (or @t795 @t794 @t94)) % 0.50/0.71 (define @t797 () (or @t794 @t94)) % 0.50/0.71 (define @t798 () (not @t97)) % 0.50/0.71 (define @t799 () (or @t798 @t96)) % 0.50/0.71 (define @t800 () (not @t105)) % 0.50/0.71 (define @t801 () (not @t96)) % 0.50/0.71 (define @t802 () (or @t801 @t800)) % 0.50/0.71 (define @t803 () (forall @t70 (not @t106))) % 0.50/0.71 (define @t804 () (not @t803)) % 0.50/0.71 (define @t805 () (forall @t9 @t780)) % 0.50/0.71 (define @t806 () (not @t805)) % 0.50/0.71 (define @t807 () (or @t780 @t7)) % 0.50/0.71 (define @t808 () (or @t451 @t450)) % 0.50/0.71 (define @t809 () (or @t454 @t453)) % 0.50/0.71 (define @t810 () (or @t456 @t440 @t809 @t808)) % 0.50/0.71 (define @t811 () (forall @t458 @t810)) % 0.50/0.71 (define @t812 () (forall (@list @t452 @t449) @t810)) % 0.50/0.71 (define @t813 () (forall (@list @t449) @t808)) % 0.50/0.71 (define @t814 () (forall (@list @t452) @t809)) % 0.50/0.71 (define @t815 () (or @t456 @t440 @t814 @t813)) % 0.50/0.71 (define @t816 () (tptp.in @t4 @t95)) % 0.50/0.71 (define @t817 () (forall @t9 (or (not @t816) @t437))) % 0.50/0.71 (define @t818 () (forall @t9 (or @t438 @t816))) % 0.50/0.71 (define @t819 () (not @t124)) % 0.50/0.71 (define @t820 () (or @t819 @t781 @t818 @t817)) % 0.50/0.71 (define @t821 () (or @t818 @t817)) % 0.50/0.71 (define @t822 () (not @t120)) % 0.50/0.71 (define @t823 () (or @t822 @t109)) % 0.50/0.71 (define @t824 () (or @t780 @t120)) % 0.50/0.71 (define @t825 () (or @t194 @t640 @t462 @t129)) % 0.50/0.71 (define @t826 () (=> @t461 @t129)) % 0.50/0.71 (define @t827 () (or @t819 @t130)) % 0.50/0.71 (define @t828 () (or @t467 @t466)) % 0.50/0.71 (define @t829 () (or @t456 @t828)) % 0.50/0.71 (define @t830 () (forall @t469 @t829)) % 0.50/0.71 (define @t831 () (@list @t465)) % 0.50/0.71 (define @t832 () (forall @t831 @t829)) % 0.50/0.71 (define @t833 () (forall @t831 @t828)) % 0.50/0.71 (define @t834 () (or @t456 @t833)) % 0.50/0.71 (define @t835 () (or @t819 @t444)) % 0.50/0.71 (define @t836 () (=> tptp.wellorderingAx @t768)) % 0.50/0.71 (define @t837 () (@list @t478)) % 0.50/0.71 (define @t838 () (forall @t837 @t480)) % 0.50/0.71 (define @t839 () (forall @t837 @t479)) % 0.50/0.71 (define @t840 () (or @t839 @t477)) % 0.50/0.71 (define @t841 () (or @t602 @t476)) % 0.50/0.71 (define @t842 () (and @t39 @t475)) % 0.50/0.71 (define @t843 () (forall @t41 (not @t842))) % 0.50/0.71 (define @t844 () (not @t843)) % 0.50/0.71 (define @t845 () (or @t603 @t194)) % 0.50/0.71 (define @t846 () (forall @t9 (not @t84))) % 0.50/0.71 (define @t847 () (not @t846)) % 0.50/0.71 (define @t848 () (=> tptp.foundationAx @t836)) % 0.50/0.71 (define @t849 () (= @t6 @t484)) % 0.50/0.71 (define @t850 () (not @t68)) % 0.50/0.71 (define @t851 () (or @t640 @t850)) % 0.50/0.71 (define @t852 () (forall @t70 (not @t69))) % 0.50/0.71 (define @t853 () (not @t852)) % 0.50/0.71 (define @t854 () (or @t194 @t493)) % 0.50/0.71 (define @t855 () (_ @t75 @t487)) % 0.50/0.71 (define @t856 () (not @t855)) % 0.50/0.71 (define @t857 () (or @t856 @t490)) % 0.50/0.71 (define @t858 () (not @t76)) % 0.50/0.71 (define @t859 () (or @t858 @t488)) % 0.50/0.71 (define @t860 () (_ @t77 @t19)) % 0.50/0.71 (define @t861 () (not @t860)) % 0.50/0.71 (define @t862 () (or @t861 @t488)) % 0.50/0.71 (define @t863 () (forall @t70 @t862)) % 0.50/0.71 (define @t864 () (not @t863)) % 0.50/0.71 (define @t865 () (_ @t77 @t487)) % 0.50/0.71 (define @t866 () (not @t865)) % 0.50/0.71 (define @t867 () (or @t866 @t864)) % 0.50/0.71 (define @t868 () (forall @t492 @t867)) % 0.50/0.71 (define @t869 () (not @t868)) % 0.50/0.71 (define @t870 () (not (_ @t143 @t487))) % 0.50/0.71 (define @t871 () (or @t335 (= @t487 @t19))) % 0.50/0.71 (define @t872 () (forall @t70 @t871)) % 0.50/0.71 (define @t873 () (not @t872)) % 0.50/0.71 (define @t874 () (or @t870 @t873)) % 0.50/0.71 (define @t875 () (forall @t492 @t874)) % 0.50/0.71 (define @t876 () (not @t875)) % 0.50/0.71 (define @t877 () (=> @t7 (_ @t581 @t77))) % 0.50/0.71 (define @t878 () (forall @t9 @t877)) % 0.50/0.71 (define @t879 () (=> @t878 @t74)) % 0.50/0.71 (define @t880 () (forall @t81 @t879)) % 0.50/0.71 (define @t881 () (=> tptp.replAx @t848)) % 0.50/0.71 (define @t882 () (or @t499 @t498)) % 0.50/0.71 (define @t883 () (or @t507 @t505 @t882)) % 0.50/0.71 (define @t884 () (forall @t509 @t883)) % 0.50/0.71 (define @t885 () (@list @t497)) % 0.50/0.71 (define @t886 () (forall @t885 @t883)) % 0.50/0.71 (define @t887 () (forall @t885 @t882)) % 0.50/0.71 (define @t888 () (or @t507 @t505 @t887)) % 0.50/0.71 (define @t889 () (forall @t9 (or @t503 @t328))) % 0.50/0.71 (define @t890 () (not @t61)) % 0.50/0.71 (define @t891 () (or @t890 @t505 @t889)) % 0.50/0.71 (define @t892 () (and @t61 @t504)) % 0.50/0.71 (define @t893 () (not @t54)) % 0.50/0.71 (define @t894 () (or @t893 @t7)) % 0.50/0.71 (define @t895 () (_ tptp.in @t500)) % 0.50/0.71 (define @t896 () (or @t893 @t194 @t58)) % 0.50/0.71 (define @t897 () (=> tptp.omegaIndAx @t881)) % 0.50/0.71 (define @t898 () (or @t893 @t53)) % 0.50/0.71 (define @t899 () (=> tptp.omegaSAx @t897)) % 0.50/0.71 (define @t900 () (=> tptp.omega0Ax @t899)) % 0.50/0.71 (define @t901 () (= @t44 @t348)) % 0.50/0.71 (define @t902 () (forall @t41 (not @t40))) % 0.50/0.71 (define @t903 () (not @t902)) % 0.50/0.71 (define @t904 () (=> tptp.setunionAx @t900)) % 0.50/0.71 (define @t905 () (= @t35 @t354)) % 0.50/0.71 (define @t906 () (=> tptp.powersetAx @t904)) % 0.50/0.71 (define @t907 () (= @t26 @t625)) % 0.50/0.71 (define @t908 () (=> tptp.setadjoinAx @t906)) % 0.50/0.71 (define @t909 () (=> tptp.emptysetAx @t908)) % 0.50/0.71 (define @t910 () (=> tptp.setextAx @t909)) % 0.50/0.71 (define @t911 () (not @t272)) % 0.50/0.71 (define @t912 () (or @t911 @t129)) % 0.50/0.71 (define @t913 () (@quantifiers_skolemize @t327 0)) % 0.50/0.71 (define @t914 () (tptp.in @t913 tptp.emptyset)) % 0.50/0.71 (define @t915 () (@quantifiers_skolemize @t327 1)) % 0.50/0.71 (define @t916 () (tptp.in @t913 (tptp.setadjoin @t915 tptp.emptyset))) % 0.50/0.71 (define @t917 () (not @t916)) % 0.50/0.71 (define @t918 () (or @t917 (= @t915 @t913) @t914)) % 0.50/0.71 (define @t919 () (= @t913 @t915)) % 0.50/0.71 (define @t920 () (or @t917 @t919 @t914)) % 0.50/0.71 (define @t921 () (or @t917 @t919)) % 0.50/0.71 (define @t922 () (@list true)) % 0.50/0.71 (define @t923 () (@list @t921)) % 0.50/0.71 (assume @p1 @t14) % 0.50/0.71 (assume @p2 @t18) % 0.50/0.71 (assume @p3 @t30) % 0.50/0.71 (assume @p4 @t38) % 0.50/0.71 (assume @p5 @t48) % 0.50/0.71 (assume @p6 (= tptp.omega0Ax @t50)) % 0.50/0.71 (assume @p7 @t56) % 0.50/0.71 (assume @p8 @t66) % 0.50/0.71 (assume @p9 @t83) % 0.50/0.71 (assume @p10 @t92) % 0.50/0.71 (assume @p11 @t142) % 0.50/0.71 (assume @p12 @t152) % 0.50/0.71 (assume @p13 @t161) % 0.50/0.71 (assume @p14 @t163) % 0.50/0.71 (assume @p15 @t165) % 0.50/0.71 (assume @p16 @t171) % 0.50/0.71 (assume @p17 @t176) % 0.50/0.71 (assume @p18 @t181) % 0.50/0.71 (assume @p19 @t183) % 0.50/0.71 (assume @p20 (= tptp.notinemptyset @t17)) % 0.50/0.71 (assume @p21 @t187) % 0.50/0.71 (assume @p22 @t192) % 0.50/0.71 (assume @p23 @t198) % 0.50/0.71 (assume @p24 (= tptp.noeltsimpempty @t197)) % 0.50/0.71 (assume @p25 @t201) % 0.50/0.71 (assume @p26 @t205) % 0.50/0.71 (assume @p27 @t209) % 0.50/0.71 (assume @p28 @t212) % 0.50/0.71 (assume @p29 @t216) % 0.50/0.71 (assume @p30 (= tptp.emptyinunitempty @t218)) % 0.50/0.71 (assume @p31 @t220) % 0.50/0.71 (assume @p32 @t228) % 0.50/0.71 (assume @p33 @t231) % 0.50/0.71 (assume @p34 @t235) % 0.50/0.71 (assume @p35 @t238) % 0.50/0.71 (assume @p36 @t241) % 0.50/0.71 (assume @p37 (= tptp.emptyInPowerset @t240)) % 0.50/0.71 (assume @p38 @t244) % 0.50/0.71 (assume @p39 @t248) % 0.50/0.71 (assume @p40 @t255) % 0.50/0.71 (assume @p41 @t259) % 0.50/0.71 (assume @p42 @t265) % 0.50/0.71 (assume @p43 @t270) % 0.50/0.71 (assume @p44 @t317) % 0.50/0.71 (assume @p45 true) % 0.50/0.71 (step @p46 (= tptp.exu @t318) :rule refl :args (@t318)) % 0.50/0.71 (step @p47 (= tptp.prop2set @t323) :rule refl :args (@t323)) % 0.50/0.71 (step @p48 (= tptp.nonempty @t324) :rule refl :args (@t324)) % 0.50/0.71 (step @p49 :rule refl :args (@t364)) % 0.50/0.71 (step @p50 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.50/0.71 (step @p51 :rule refl :args (@t365)) % 0.50/0.71 (step @p52 :rule refl :args (tptp.emptyset)) % 0.50/0.71 (step @p53 :rule cong :premises (@p52 @p51) :args (@t366)) % 0.50/0.71 (step @p54 :rule trans :premises (@p53 @p50)) % 0.50/0.71 (step @p55 :rule refl :args (@t49)) % 0.50/0.71 (step @p56 :rule ho_cong :premises (@p55 @p51)) % 0.50/0.71 (step @p57 :rule cong :premises (@p56 @p54) :args ((= (_ @t49 @t365) @t366))) % 0.50/0.71 (step @p58 :rule symm :premises (@p57)) % 0.50/0.71 (step @p59 :rule refl :args (@t218)) % 0.50/0.71 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.50/0.71 (step @p61 :rule refl :args (@t217)) % 0.50/0.71 (step @p62 :rule cong :premises (@p61 @p51) :args ((= @t217 @t365))) % 0.50/0.71 (step @p63 :rule symm :premises (@p62)) % 0.50/0.71 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.50/0.71 (step @p65 :rule refl :args (@t49)) % 0.50/0.71 (step @p66 :rule ho_cong :premises (@p65 @p64)) % 0.50/0.71 (step @p67 :rule trans :premises (@p66 @p60)) % 0.50/0.71 (step @p68 :rule cong :premises (@p67 @p49) :args (@t367)) % 0.50/0.71 (step @p69 :rule refl :args (@t370)) % 0.50/0.71 (step @p70 :rule cong :premises (@p69 @p68) :args (@t371)) % 0.50/0.71 (step @p71 :rule refl :args (@t375)) % 0.50/0.71 (step @p72 :rule cong :premises (@p71 @p70) :args (@t376)) % 0.50/0.71 (step @p73 :rule refl :args (@t380)) % 0.50/0.71 (step @p74 :rule cong :premises (@p73 @p72) :args (@t381)) % 0.50/0.71 (step @p75 :rule refl :args (@t332)) % 0.50/0.71 (step @p76 :rule cong :premises (@p75 @p74) :args (@t382)) % 0.50/0.71 (step @p77 :rule refl :args (@t384)) % 0.50/0.71 (step @p78 :rule cong :premises (@p77 @p76) :args (@t385)) % 0.50/0.71 (step @p79 :rule refl :args (@t386)) % 0.50/0.71 (step @p80 :rule cong :premises (@p79 @p78) :args (@t387)) % 0.50/0.71 (step @p81 :rule cong :premises (@p79 @p80) :args (@t388)) % 0.50/0.71 (step @p82 :rule refl :args (@t392)) % 0.50/0.71 (step @p83 :rule cong :premises (@p82 @p81) :args (@t393)) % 0.50/0.71 (step @p84 :rule refl :args (@t398)) % 0.50/0.71 (step @p85 :rule cong :premises (@p84 @p83) :args (@t399)) % 0.50/0.71 (step @p86 :rule refl :args (@t401)) % 0.50/0.71 (step @p87 :rule cong :premises (@p86 @p85) :args (@t402)) % 0.50/0.71 (step @p88 :rule cong :premises (@p86 @p87) :args (@t403)) % 0.50/0.71 (step @p89 :rule cong :premises (@p86 @p88) :args (@t404)) % 0.50/0.71 (step @p90 :rule refl :args (@t408)) % 0.50/0.71 (step @p91 :rule cong :premises (@p90 @p89) :args (@t409)) % 0.50/0.71 (step @p92 :rule refl :args (@t411)) % 0.50/0.71 (step @p93 :rule cong :premises (@p92 @p91) :args (@t412)) % 0.50/0.71 (step @p94 :rule refl :args (@t413)) % 0.50/0.71 (step @p95 :rule cong :premises (@p94 @p93) :args (@t414)) % 0.50/0.71 (step @p96 :rule refl :args (@t415)) % 0.50/0.71 (step @p97 :rule cong :premises (@p96 @p95) :args (@t416)) % 0.50/0.71 (step @p98 :rule refl :args (@t421)) % 0.50/0.71 (step @p99 :rule cong :premises (@p98 @p97) :args (@t422)) % 0.50/0.71 (step @p100 :rule refl :args (@t473)) % 0.50/0.71 (step @p101 :rule cong :premises (@p100 @p99) :args (@t474)) % 0.50/0.71 (step @p102 :rule refl :args (@t481)) % 0.50/0.71 (step @p103 :rule cong :premises (@p102 @p101) :args (@t482)) % 0.50/0.71 (step @p104 :rule refl :args (@t495)) % 0.50/0.71 (step @p105 :rule cong :premises (@p104 @p103) :args (@t496)) % 0.50/0.71 (step @p106 :rule refl :args (@t510)) % 0.50/0.71 (step @p107 :rule cong :premises (@p106 @p105) :args (@t511)) % 0.50/0.71 (step @p108 :rule refl :args (@t513)) % 0.50/0.71 (step @p109 :rule cong :premises (@p108 @p107) :args (@t514)) % 0.50/0.71 (step @p110 :rule refl :args (@t515)) % 0.50/0.71 (step @p111 :rule refl :args (@t50)) % 0.50/0.71 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t50 @t515))) % 0.50/0.71 (step @p113 :rule symm :premises (@p112)) % 0.50/0.71 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 0.50/0.71 (step @p115 :rule cong :premises (@p114 @p109) :args (@t516)) % 0.50/0.71 (step @p116 :rule refl :args (@t517)) % 0.50/0.71 (step @p117 :rule cong :premises (@p116 @p115) :args (@t518)) % 0.50/0.71 (step @p118 :rule refl :args (@t519)) % 0.50/0.71 (step @p119 :rule cong :premises (@p118 @p117) :args (@t520)) % 0.50/0.71 (step @p120 :rule refl :args (@t522)) % 0.50/0.71 (step @p121 :rule cong :premises (@p120 @p119) :args (@t523)) % 0.50/0.71 (step @p122 :rule cong :premises (@p86 @p121) :args (@t524)) % 0.50/0.71 (step @p123 :rule refl :args (@t526)) % 0.50/0.71 (step @p124 :rule cong :premises (@p123 @p122) :args (@t527)) % 0.50/0.71 (step @p125 :rule cong :premises (@p124) :args ((not @t527))) % 0.50/0.71 (step @p126 :rule bool-impl-true2 :args (@t409)) % 0.50/0.71 (step @p127 :rule cong :premises (@p92 @p126) :args (@t528)) % 0.50/0.71 (step @p128 :rule cong :premises (@p94 @p127) :args (@t529)) % 0.50/0.71 (step @p129 :rule cong :premises (@p96 @p128) :args (@t530)) % 0.50/0.71 (step @p130 :rule cong :premises (@p98 @p129) :args (@t531)) % 0.50/0.71 (step @p131 :rule cong :premises (@p100 @p130) :args (@t532)) % 0.50/0.71 (step @p132 :rule cong :premises (@p102 @p131) :args (@t533)) % 0.50/0.71 (step @p133 :rule cong :premises (@p104 @p132) :args (@t534)) % 0.50/0.71 (step @p134 :rule cong :premises (@p106 @p133) :args (@t535)) % 0.50/0.71 (step @p135 :rule cong :premises (@p108 @p134) :args (@t536)) % 0.50/0.71 (step @p136 :rule refl :args (@t50)) % 0.50/0.71 (step @p137 :rule cong :premises (@p136 @p135) :args (@t537)) % 0.50/0.71 (step @p138 :rule cong :premises (@p116 @p137) :args (@t538)) % 0.50/0.71 (step @p139 :rule cong :premises (@p118 @p138) :args (@t539)) % 0.50/0.71 (step @p140 :rule cong :premises (@p120 @p139) :args (@t540)) % 0.50/0.71 (step @p141 :rule cong :premises (@p86 @p140) :args (@t541)) % 0.50/0.71 (step @p142 :rule cong :premises (@p123 @p141) :args (@t542)) % 0.50/0.71 (step @p143 :rule cong :premises (@p142) :args ((not @t542))) % 0.50/0.71 (step @p144 :rule refl :args (@t327)) % 0.50/0.71 (step @p145 :rule refl :args (@t331)) % 0.50/0.71 (step @p146 :rule bool-double-not-elim :args (@t193)) % 0.50/0.71 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t543) @t331))) % 0.50/0.71 (step @p148 :rule bool-impl-elim :args (@t543 @t331)) % 0.50/0.71 (step @p149 :rule trans :premises (@p148 @p147)) % 0.50/0.71 (step @p150 :rule cong :premises (@p149) :args ((forall @t64 (=> @t543 @t331)))) % 0.50/0.71 (step @p151 :rule refl :args (@t328)) % 0.50/0.71 (step @p152 :rule refl :args (@t7)) % 0.50/0.71 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t7 @t328))) % 0.50/0.71 (step @p154 :rule symm :premises (@p153)) % 0.50/0.71 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.50/0.71 (step @p156 :rule cong :premises (@p155) :args (@t194)) % 0.50/0.71 (step @p157 :rule cong :premises (@p156) :args (@t195)) % 0.50/0.71 (step @p158 :rule cong :premises (@p157) :args (@t544)) % 0.50/0.71 (step @p159 :rule exists-elim :args ((= @t89 @t544))) % 0.50/0.71 (step @p160 :rule trans :premises (@p159 @p158)) % 0.50/0.71 (step @p161 :rule aci_norm :args ((= @t266 @t7))) % 0.50/0.71 (step @p162 :rule cong :premises (@p161) :args (@t267)) % 0.50/0.71 (step @p163 :rule trans :premises (@p162 @p160)) % 0.50/0.71 (step @p164 :rule beta-reduce :args ((= @t545 @t543))) % 0.50/0.71 (step @p165 :rule cong :premises (@p164 @p163) :args (@t546)) % 0.50/0.71 (step @p166 :rule cong :premises (@p165) :args (@t547)) % 0.50/0.71 (step @p167 :rule trans :premises (@p166 @p150)) % 0.50/0.71 (step @p168 :rule refl :args (tptp.nonemptyImpWitness)) % 0.50/0.71 (step @p169 :rule cong :premises (@p168 @p167) :args ((= tptp.nonemptyImpWitness @t547))) % 0.50/0.71 (step @p170 :rule refl :args (@t267)) % 0.50/0.71 (step @p171 :rule refl :args (@t2)) % 0.50/0.71 (step @p172 :rule ho_cong :premises (@p48 @p171)) % 0.50/0.71 (step @p173 :rule cong :premises (@p172 @p170) :args (@t268)) % 0.50/0.71 (step @p174 :rule cong :premises (@p173) :args (@t269)) % 0.50/0.71 (step @p175 :rule cong :premises (@p168 @p174) :args (@t270)) % 0.50/0.71 (step @p176 :rule trans :premises (@p175 @p169)) % 0.50/0.71 (step @p177 :rule eq_resolve :premises (@p43 @p176)) % 0.50/0.71 (step @p178 :rule cong :premises (@p177 @p144) :args (@t548)) % 0.50/0.71 (step @p179 :rule eq-symm :args (@t333 @t19)) % 0.50/0.71 (step @p180 :rule refl :args (@t335)) % 0.50/0.71 (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t549)) % 0.50/0.71 (step @p182 :rule cong :premises (@p181) :args (@t550)) % 0.50/0.71 (step @p183 :rule cong :premises (@p182) :args (@t551)) % 0.50/0.71 (step @p184 :rule refl :args (@t336)) % 0.50/0.71 (step @p185 :rule refl :args (@t338)) % 0.50/0.71 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args (@t552)) % 0.50/0.71 (step @p187 :rule aci_norm :args ((= @t554 @t552))) % 0.50/0.71 (step @p188 :rule trans :premises (@p187 @p186)) % 0.50/0.71 (step @p189 :rule cong :premises (@p188) :args (@t555)) % 0.50/0.71 (step @p190 :rule quant-merge-prenex :args ((= (forall @t150 @t557) @t555))) % 0.50/0.71 (step @p191 :rule refl :args (@t338)) % 0.50/0.71 (step @p192 :rule alpha_equiv :args (@t558 (@list @t333) @t559)) % 0.50/0.71 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t560)) % 0.50/0.71 (step @p194 :rule quant-miniscope-or :args ((= @t557 @t560))) % 0.50/0.71 (step @p195 :rule trans :premises (@p194 @p193)) % 0.50/0.71 (step @p196 :rule symm :premises (@p195)) % 0.50/0.71 (step @p197 :rule cong :premises (@p196) :args ((forall @t150 (or @t563 @t338)))) % 0.50/0.71 (step @p198 :rule trans :premises (@p197 @p190)) % 0.50/0.71 (step @p199 :rule trans :premises (@p198 @p189)) % 0.50/0.71 (step @p200 :rule bool-double-not-elim :args (@t563)) % 0.50/0.71 (step @p201 :rule nary_cong :premises (@p200 @p191) :args ((or @t565 @t338))) % 0.50/0.71 (step @p202 :rule bool-impl-elim :args (@t564 @t338)) % 0.50/0.71 (step @p203 :rule trans :premises (@p202 @p201)) % 0.50/0.71 (step @p204 :rule cong :premises (@p203) :args ((forall @t150 (=> @t564 @t338)))) % 0.50/0.71 (step @p205 :rule trans :premises (@p204 @p199)) % 0.50/0.71 (step @p206 :rule exists-elim :args ((= (exists @t9 @t337) @t338))) % 0.50/0.71 (step @p207 :rule eq-symm :args (@t334 @t129)) % 0.50/0.71 (step @p208 :rule cong :premises (@p207) :args ((forall @t70 (= @t334 @t129)))) % 0.50/0.71 (step @p209 :rule refl :args (@t129)) % 0.50/0.71 (step @p210 :rule refl :args (@t334)) % 0.50/0.71 (step @p211 :rule refl :args (@t153)) % 0.50/0.71 (step @p212 :rule cong :premises (@p211 @p210) :args ((= @t153 @t334))) % 0.50/0.71 (step @p213 :rule symm :premises (@p212)) % 0.50/0.71 (step @p214 :rule eq_resolve :premises (@p211 @p213)) % 0.50/0.71 (step @p215 :rule cong :premises (@p214 @p209) :args (@t566)) % 0.50/0.71 (step @p216 :rule cong :premises (@p215) :args ((forall @t70 @t566))) % 0.50/0.71 (step @p217 :rule trans :premises (@p216 @p208)) % 0.50/0.71 (step @p218 :rule eq-symm :args (@t19 @t4)) % 0.50/0.71 (step @p219 :rule refl :args (@t153)) % 0.50/0.71 (step @p220 :rule cong :premises (@p219 @p218) :args (@t260)) % 0.50/0.71 (step @p221 :rule cong :premises (@p220) :args (@t261)) % 0.50/0.71 (step @p222 :rule trans :premises (@p221 @p217)) % 0.50/0.71 (step @p223 :rule cong :premises (@p222) :args (@t262)) % 0.50/0.71 (step @p224 :rule trans :premises (@p223 @p206)) % 0.50/0.71 (step @p225 :rule refl :args (@t562)) % 0.50/0.71 (step @p226 :rule refl :args (@t378)) % 0.50/0.71 (step @p227 :rule refl :args (@t144)) % 0.50/0.71 (step @p228 :rule cong :premises (@p227 @p226) :args ((= @t144 @t378))) % 0.50/0.71 (step @p229 :rule symm :premises (@p228)) % 0.50/0.71 (step @p230 :rule eq_resolve :premises (@p227 @p229)) % 0.50/0.71 (step @p231 :rule cong :premises (@p230) :args (@t567)) % 0.50/0.71 (step @p232 :rule nary_cong :premises (@p231 @p225) :args (@t568)) % 0.50/0.71 (step @p233 :rule cong :premises (@p232) :args ((forall @t9 @t568))) % 0.50/0.71 (step @p234 :rule cong :premises (@p214) :args (@t569)) % 0.50/0.71 (step @p235 :rule nary_cong :premises (@p234 @p209) :args (@t570)) % 0.50/0.71 (step @p236 :rule cong :premises (@p235) :args ((forall @t70 @t570))) % 0.50/0.71 (step @p237 :rule refl :args (@t129)) % 0.50/0.71 (step @p238 :rule beta-reduce :args ((= @t571 @t153))) % 0.50/0.71 (step @p239 :rule cong :premises (@p238) :args (@t572)) % 0.50/0.71 (step @p240 :rule nary_cong :premises (@p239 @p237) :args (@t573)) % 0.50/0.71 (step @p241 :rule cong :premises (@p240) :args (@t574)) % 0.50/0.71 (step @p242 :rule trans :premises (@p241 @p236)) % 0.50/0.71 (step @p243 :rule cong :premises (@p242) :args (@t575)) % 0.50/0.71 (step @p244 :rule beta-reduce :args ((= @t576 @t144))) % 0.50/0.71 (step @p245 :rule cong :premises (@p244) :args (@t577)) % 0.50/0.71 (step @p246 :rule nary_cong :premises (@p245 @p243) :args (@t578)) % 0.50/0.71 (step @p247 :rule cong :premises (@p246) :args (@t579)) % 0.50/0.71 (step @p248 :rule trans :premises (@p247 @p233)) % 0.50/0.71 (step @p249 :rule cong :premises (@p248) :args (@t580)) % 0.50/0.71 (step @p250 :rule beta-reduce :args ((= @t582 @t580))) % 0.50/0.71 (step @p251 :rule trans :premises (@p250 @p249)) % 0.50/0.71 (step @p252 :rule cong :premises (@p251 @p224) :args (@t583)) % 0.50/0.71 (step @p253 :rule cong :premises (@p252) :args (@t584)) % 0.50/0.71 (step @p254 :rule trans :premises (@p253 @p205)) % 0.50/0.71 (step @p255 :rule refl :args (tptp.exuE2)) % 0.50/0.71 (step @p256 :rule cong :premises (@p255 @p254) :args ((= tptp.exuE2 @t584))) % 0.50/0.71 (step @p257 :rule refl :args (@t262)) % 0.50/0.71 (step @p258 :rule refl :args (@t145)) % 0.50/0.71 (step @p259 :rule bool-and-de-morgan :args (@t144 @t561 true)) % 0.50/0.71 (step @p260 :rule cong :premises (@p259) :args (@t586)) % 0.50/0.71 (step @p261 :rule trans :premises (@p260 @p233)) % 0.50/0.71 (step @p262 :rule cong :premises (@p261) :args (@t587)) % 0.50/0.71 (step @p263 :rule exists-elim :args ((= (exists @t9 @t585) @t587))) % 0.50/0.71 (step @p264 :rule trans :premises (@p263 @p262)) % 0.50/0.71 (step @p265 :rule bool-impl-elim :args (@t153 @t129)) % 0.50/0.71 (step @p266 :rule cong :premises (@p265) :args (@t166)) % 0.50/0.71 (step @p267 :rule trans :premises (@p266 @p236)) % 0.50/0.71 (step @p268 :rule refl :args (@t144)) % 0.50/0.71 (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t167)) % 0.50/0.71 (step @p270 :rule cong :premises (@p269) :args (@t168)) % 0.50/0.71 (step @p271 :rule trans :premises (@p270 @p264)) % 0.50/0.71 (step @p272 :rule cong :premises (@p271) :args (@t318)) % 0.50/0.71 (step @p273 :rule trans :premises (@p46 @p272)) % 0.50/0.71 (step @p274 :rule ho_cong :premises (@p273 @p258)) % 0.50/0.71 (step @p275 :rule cong :premises (@p274 @p257) :args (@t263)) % 0.50/0.71 (step @p276 :rule cong :premises (@p275) :args (@t264)) % 0.50/0.71 (step @p277 :rule cong :premises (@p255 @p276) :args (@t265)) % 0.50/0.71 (step @p278 :rule trans :premises (@p277 @p256)) % 0.50/0.71 (step @p279 :rule eq_resolve :premises (@p42 @p278)) % 0.50/0.71 (step @p280 :rule cong :premises (@p279 @p178) :args (@t588)) % 0.50/0.71 (step @p281 :rule refl :args ((tptp.in @t4 @t256))) % 0.50/0.71 (step @p282 :rule refl :args ((tptp.powerset @t43))) % 0.50/0.71 (step @p283 :rule refl :args (@t340)) % 0.50/0.71 (step @p284 :rule cong :premises (@p283) :args (@t341)) % 0.50/0.71 (step @p285 :rule trans :premises (@p284 @p282)) % 0.50/0.71 (step @p286 :rule refl :args (@t4)) % 0.50/0.71 (step @p287 :rule cong :premises (@p286 @p285) :args (@t342)) % 0.50/0.71 (step @p288 :rule trans :premises (@p287 @p281)) % 0.50/0.71 (step @p289 :rule refl :args (@t5)) % 0.50/0.71 (step @p290 :rule ho_cong :premises (@p289 @p285)) % 0.50/0.71 (step @p291 :rule cong :premises (@p290 @p288) :args ((= (_ @t5 @t341) @t342))) % 0.50/0.71 (step @p292 :rule symm :premises (@p291)) % 0.50/0.71 (step @p293 :rule refl :args (@t257)) % 0.50/0.71 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 0.50/0.71 (step @p295 :rule refl :args (tptp.powerset)) % 0.50/0.71 (step @p296 :rule ho_cong :premises (@p295 @p283)) % 0.50/0.71 (step @p297 :rule cong :premises (@p296 @p285) :args ((= (_ tptp.powerset @t340) @t341))) % 0.50/0.71 (step @p298 :rule symm :premises (@p297)) % 0.50/0.71 (step @p299 :rule refl :args (@t256)) % 0.50/0.71 (step @p300 :rule eq_resolve :premises (@p299 @p298)) % 0.50/0.71 (step @p301 :rule refl :args (@t43)) % 0.50/0.71 (step @p302 :rule cong :premises (@p301 @p283) :args ((= @t43 @t340))) % 0.50/0.71 (step @p303 :rule symm :premises (@p302)) % 0.50/0.71 (step @p304 :rule eq_resolve :premises (@p301 @p303)) % 0.50/0.71 (step @p305 :rule ho_cong :premises (@p295 @p304)) % 0.50/0.71 (step @p306 :rule trans :premises (@p305 @p300)) % 0.50/0.71 (step @p307 :rule ho_cong :premises (@p289 @p306)) % 0.50/0.71 (step @p308 :rule trans :premises (@p307 @p294)) % 0.50/0.71 (step @p309 :rule nary_cong :premises (@p156 @p308) :args (@t589)) % 0.50/0.71 (step @p310 :rule cong :premises (@p309) :args ((forall @t46 @t589))) % 0.50/0.71 (step @p311 :rule bool-impl-elim :args (@t7 @t257)) % 0.50/0.71 (step @p312 :rule cong :premises (@p311) :args (@t258)) % 0.50/0.71 (step @p313 :rule trans :premises (@p312 @p310)) % 0.50/0.71 (step @p314 :rule refl :args (tptp.subPowSU)) % 0.50/0.71 (step @p315 :rule cong :premises (@p314 @p313) :args (@t259)) % 0.50/0.71 (step @p316 :rule eq_resolve :premises (@p41 @p315)) % 0.50/0.71 (step @p317 :rule cong :premises (@p316 @p280) :args (@t590)) % 0.50/0.71 (step @p318 :rule refl :args (@t348)) % 0.50/0.71 (step @p319 :rule refl :args ((tptp.in @t4 @t43))) % 0.50/0.71 (step @p320 :rule cong :premises (@p286 @p283) :args (@t349)) % 0.50/0.71 (step @p321 :rule trans :premises (@p320 @p319)) % 0.50/0.71 (step @p322 :rule ho_cong :premises (@p289 @p283)) % 0.50/0.71 (step @p323 :rule cong :premises (@p322 @p321) :args ((= (_ @t5 @t340) @t349))) % 0.50/0.71 (step @p324 :rule symm :premises (@p323)) % 0.50/0.71 (step @p325 :rule refl :args (@t44)) % 0.50/0.71 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.50/0.71 (step @p327 :rule ho_cong :premises (@p289 @p304)) % 0.50/0.71 (step @p328 :rule trans :premises (@p327 @p326)) % 0.50/0.71 (step @p329 :rule cong :premises (@p328) :args (@t591)) % 0.50/0.71 (step @p330 :rule nary_cong :premises (@p329 @p318) :args (@t592)) % 0.50/0.71 (step @p331 :rule cong :premises (@p330) :args ((forall @t46 @t592))) % 0.50/0.71 (step @p332 :rule bool-impl-elim :args (@t44 @t348)) % 0.50/0.71 (step @p333 :rule cong :premises (@p332) :args ((forall @t46 (=> @t44 @t348)))) % 0.50/0.71 (step @p334 :rule trans :premises (@p333 @p331)) % 0.50/0.71 (step @p335 :rule aci_norm :args ((= (and true @t348) @t348))) % 0.50/0.71 (step @p336 :rule refl :args (@t348)) % 0.50/0.71 (step @p337 :rule evaluate :args (@t593)) % 0.50/0.71 (step @p338 :rule nary_cong :premises (@p337 @p336) :args (@t594)) % 0.50/0.71 (step @p339 :rule trans :premises (@p338 @p335)) % 0.50/0.71 (step @p340 :rule aci_norm :args ((= @t595 @t594))) % 0.50/0.71 (step @p341 :rule trans :premises (@p340 @p339)) % 0.50/0.71 (step @p342 :rule quant-var-elim-eq :args ((= (forall @t177 (or @t598 @t597 @t172)) @t595))) % 0.50/0.71 (step @p343 :rule refl :args (@t172)) % 0.50/0.71 (step @p344 :rule refl :args (@t597)) % 0.50/0.71 (step @p345 :rule bool-eq-false :args (@t172)) % 0.50/0.71 (step @p346 :rule symm :premises (@p345)) % 0.50/0.71 (step @p347 :rule cong :premises (@p346) :args ((not @t596))) % 0.50/0.71 (step @p348 :rule bool-double-not-elim :args (@t172)) % 0.50/0.71 (step @p349 :rule symm :premises (@p348)) % 0.50/0.71 (step @p350 :rule trans :premises (@p349 @p347)) % 0.50/0.71 (step @p351 :rule nary_cong :premises (@p350 @p344 @p343) :args (@t599)) % 0.50/0.71 (step @p352 :rule aci_norm :args ((= @t600 @t599))) % 0.50/0.71 (step @p353 :rule trans :premises (@p352 @p351)) % 0.50/0.71 (step @p354 :rule cong :premises (@p353) :args ((forall @t177 @t600))) % 0.50/0.71 (step @p355 :rule trans :premises (@p354 @p342)) % 0.50/0.71 (step @p356 :rule trans :premises (@p355 @p341)) % 0.50/0.71 (step @p357 :rule bool-or-de-morgan :args (@t172 @t347 false)) % 0.50/0.71 (step @p358 :rule nary_cong :premises (@p357 @p343) :args ((or (not @t601) @t172))) % 0.50/0.71 (step @p359 :rule bool-impl-elim :args (@t601 @t172)) % 0.50/0.71 (step @p360 :rule trans :premises (@p359 @p358)) % 0.50/0.71 (step @p361 :rule cong :premises (@p360) :args ((forall @t177 (=> @t601 @t172)))) % 0.50/0.71 (step @p362 :rule trans :premises (@p361 @p356)) % 0.50/0.71 (step @p363 :rule refl :args (@t172)) % 0.50/0.71 (step @p364 :rule refl :args (@t343)) % 0.50/0.71 (step @p365 :rule refl :args (@t39)) % 0.50/0.71 (step @p366 :rule cong :premises (@p365 @p364) :args ((= @t39 @t343))) % 0.50/0.71 (step @p367 :rule symm :premises (@p366)) % 0.50/0.71 (step @p368 :rule eq_resolve :premises (@p365 @p367)) % 0.50/0.71 (step @p369 :rule cong :premises (@p368) :args (@t602)) % 0.50/0.71 (step @p370 :rule refl :args (@t345)) % 0.50/0.71 (step @p371 :rule refl :args (@t6)) % 0.50/0.71 (step @p372 :rule cong :premises (@p371 @p370) :args ((= @t6 @t345))) % 0.50/0.71 (step @p373 :rule symm :premises (@p372)) % 0.50/0.71 (step @p374 :rule eq_resolve :premises (@p371 @p373)) % 0.50/0.71 (step @p375 :rule cong :premises (@p374) :args (@t603)) % 0.50/0.71 (step @p376 :rule nary_cong :premises (@p375 @p369) :args (@t604)) % 0.50/0.71 (step @p377 :rule cong :premises (@p376) :args (@t605)) % 0.50/0.71 (step @p378 :rule nary_cong :premises (@p363 @p377) :args (@t606)) % 0.50/0.71 (step @p379 :rule quant-miniscope-or :args ((= (forall @t41 @t607) @t606))) % 0.50/0.71 (step @p380 :rule aci_norm :args ((= @t608 @t607))) % 0.50/0.71 (step @p381 :rule cong :premises (@p380) :args ((forall @t41 @t608))) % 0.50/0.71 (step @p382 :rule trans :premises (@p381 @p379)) % 0.50/0.71 (step @p383 :rule trans :premises (@p382 @p378)) % 0.50/0.71 (step @p384 :rule aci_norm :args ((= (or @t603 (or @t602 @t172)) @t608))) % 0.50/0.71 (step @p385 :rule bool-impl-elim :args (@t39 @t172)) % 0.50/0.71 (step @p386 :rule refl :args (@t603)) % 0.50/0.71 (step @p387 :rule nary_cong :premises (@p386 @p385) :args ((or @t603 @t249))) % 0.50/0.71 (step @p388 :rule trans :premises (@p387 @p384)) % 0.50/0.71 (step @p389 :rule bool-impl-elim :args (@t6 @t249)) % 0.50/0.71 (step @p390 :rule trans :premises (@p389 @p388)) % 0.50/0.71 (step @p391 :rule cong :premises (@p390) :args (@t250)) % 0.50/0.71 (step @p392 :rule trans :premises (@p391 @p383)) % 0.50/0.71 (step @p393 :rule cong :premises (@p392 @p363) :args (@t251)) % 0.50/0.71 (step @p394 :rule cong :premises (@p393) :args (@t252)) % 0.50/0.71 (step @p395 :rule trans :premises (@p394 @p362)) % 0.50/0.71 (step @p396 :rule refl :args (@t44)) % 0.50/0.71 (step @p397 :rule cong :premises (@p396 @p395) :args (@t253)) % 0.50/0.71 (step @p398 :rule cong :premises (@p397) :args (@t254)) % 0.50/0.71 (step @p399 :rule trans :premises (@p398 @p334)) % 0.50/0.71 (step @p400 :rule refl :args (tptp.setunionE)) % 0.50/0.71 (step @p401 :rule cong :premises (@p400 @p399) :args (@t255)) % 0.50/0.71 (step @p402 :rule eq_resolve :premises (@p40 @p401)) % 0.50/0.71 (step @p403 :rule cong :premises (@p402 @p317) :args (@t609)) % 0.50/0.71 (step @p404 :rule nary_cong :premises (@p375 @p369 @p328) :args (@t610)) % 0.50/0.71 (step @p405 :rule cong :premises (@p404) :args ((forall @t246 @t610))) % 0.50/0.71 (step @p406 :rule aci_norm :args ((= (or @t603 (or @t602 @t44)) @t610))) % 0.50/0.71 (step @p407 :rule bool-impl-elim :args (@t39 @t44)) % 0.50/0.71 (step @p408 :rule nary_cong :premises (@p386 @p407) :args ((or @t603 @t245))) % 0.50/0.71 (step @p409 :rule trans :premises (@p408 @p406)) % 0.50/0.71 (step @p410 :rule bool-impl-elim :args (@t6 @t245)) % 0.50/0.71 (step @p411 :rule trans :premises (@p410 @p409)) % 0.50/0.71 (step @p412 :rule cong :premises (@p411) :args (@t247)) % 0.50/0.71 (step @p413 :rule trans :premises (@p412 @p405)) % 0.50/0.71 (step @p414 :rule refl :args (tptp.setunionI)) % 0.50/0.71 (step @p415 :rule cong :premises (@p414 @p413) :args (@t248)) % 0.50/0.71 (step @p416 :rule eq_resolve :premises (@p39 @p415)) % 0.50/0.71 (step @p417 :rule cong :premises (@p416 @p403) :args (@t611)) % 0.50/0.71 (step @p418 :rule refl :args ((tptp.in @t1 @t33))) % 0.50/0.71 (step @p419 :rule refl :args (@t350)) % 0.50/0.71 (step @p420 :rule refl :args (@t1)) % 0.50/0.71 (step @p421 :rule cong :premises (@p420 @p419) :args (@t351)) % 0.50/0.71 (step @p422 :rule trans :premises (@p421 @p418)) % 0.50/0.71 (step @p423 :rule refl :args (@t34)) % 0.50/0.71 (step @p424 :rule ho_cong :premises (@p423 @p419)) % 0.50/0.71 (step @p425 :rule cong :premises (@p424 @p422) :args ((= (_ @t34 @t350) @t351))) % 0.50/0.71 (step @p426 :rule symm :premises (@p425)) % 0.50/0.71 (step @p427 :rule refl :args (@t35)) % 0.50/0.71 (step @p428 :rule eq_resolve :premises (@p427 @p426)) % 0.50/0.71 (step @p429 :rule refl :args (@t33)) % 0.50/0.71 (step @p430 :rule cong :premises (@p429 @p419) :args ((= @t33 @t350))) % 0.50/0.71 (step @p431 :rule symm :premises (@p430)) % 0.50/0.71 (step @p432 :rule eq_resolve :premises (@p429 @p431)) % 0.50/0.71 (step @p433 :rule ho_cong :premises (@p423 @p432)) % 0.50/0.71 (step @p434 :rule trans :premises (@p433 @p428)) % 0.50/0.71 (step @p435 :rule cong :premises (@p434) :args (@t612)) % 0.50/0.71 (step @p436 :rule nary_cong :premises (@p435 @p375 @p155) :args (@t613)) % 0.50/0.71 (step @p437 :rule cong :premises (@p436) :args ((forall @t242 @t613))) % 0.50/0.71 (step @p438 :rule aci_norm :args ((= (or @t612 @t614) @t613))) % 0.50/0.71 (step @p439 :rule bool-impl-elim :args (@t6 @t7)) % 0.50/0.71 (step @p440 :rule refl :args (@t612)) % 0.50/0.71 (step @p441 :rule nary_cong :premises (@p440 @p439) :args ((or @t612 @t31))) % 0.50/0.71 (step @p442 :rule trans :premises (@p441 @p438)) % 0.50/0.71 (step @p443 :rule bool-impl-elim :args (@t35 @t31)) % 0.50/0.71 (step @p444 :rule trans :premises (@p443 @p442)) % 0.50/0.71 (step @p445 :rule cong :premises (@p444) :args (@t243)) % 0.50/0.71 (step @p446 :rule trans :premises (@p445 @p437)) % 0.50/0.71 (step @p447 :rule refl :args (tptp.powersetE)) % 0.50/0.71 (step @p448 :rule cong :premises (@p447 @p446) :args (@t244)) % 0.50/0.71 (step @p449 :rule eq_resolve :premises (@p38 @p448)) % 0.50/0.71 (step @p450 :rule cong :premises (@p449 @p417) :args (@t615)) % 0.50/0.71 (step @p451 :rule eq-symm :args (@t353 tptp.emptyInPowerset)) % 0.50/0.71 (step @p452 :rule refl :args (tptp.emptyInPowerset)) % 0.50/0.71 (step @p453 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 0.50/0.71 (step @p454 :rule cong :premises (@p52 @p419) :args (@t352)) % 0.50/0.71 (step @p455 :rule trans :premises (@p454 @p453)) % 0.50/0.71 (step @p456 :rule ho_cong :premises (@p55 @p419)) % 0.50/0.71 (step @p457 :rule cong :premises (@p456 @p455) :args ((= (_ @t49 @t350) @t352))) % 0.50/0.71 (step @p458 :rule symm :premises (@p457)) % 0.50/0.71 (step @p459 :rule refl :args (@t239)) % 0.50/0.71 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 0.50/0.71 (step @p461 :rule ho_cong :premises (@p55 @p432)) % 0.50/0.71 (step @p462 :rule trans :premises (@p461 @p460)) % 0.50/0.71 (step @p463 :rule cong :premises (@p462) :args (@t240)) % 0.50/0.71 (step @p464 :rule cong :premises (@p463 @p452) :args ((= @t240 tptp.emptyInPowerset))) % 0.50/0.71 (step @p465 :rule trans :premises (@p464 @p451)) % 0.50/0.71 (step @p466 :rule eq-symm :args (tptp.emptyInPowerset @t240)) % 0.50/0.71 (step @p467 :rule trans :premises (@p466 @p465)) % 0.50/0.71 (step @p468 :rule eq_resolve :premises (@p37 @p467)) % 0.50/0.71 (step @p469 :rule cong :premises (@p468 @p450) :args (@t616)) % 0.50/0.71 (step @p470 :rule refl :args (tptp.emptyinPowerset)) % 0.50/0.71 (step @p471 :rule cong :premises (@p470 @p463) :args (@t241)) % 0.50/0.71 (step @p472 :rule eq_resolve :premises (@p36 @p471)) % 0.50/0.71 (step @p473 :rule cong :premises (@p472 @p469) :args (@t617)) % 0.50/0.71 (step @p474 :rule refl :args (@t355)) % 0.50/0.71 (step @p475 :rule nary_cong :premises (@p474 @p434) :args (@t618)) % 0.50/0.71 (step @p476 :rule cong :premises (@p475) :args ((forall @t12 @t618))) % 0.50/0.71 (step @p477 :rule bool-impl-elim :args (@t354 @t35)) % 0.50/0.71 (step @p478 :rule cong :premises (@p477) :args ((forall @t12 (=> @t354 @t35)))) % 0.50/0.71 (step @p479 :rule trans :premises (@p478 @p476)) % 0.50/0.71 (step @p480 :rule refl :args (@t35)) % 0.50/0.71 (step @p481 :rule nary_cong :premises (@p375 @p155) :args (@t614)) % 0.50/0.71 (step @p482 :rule cong :premises (@p481) :args ((forall @t9 @t614))) % 0.50/0.71 (step @p483 :rule cong :premises (@p439) :args (@t32)) % 0.50/0.71 (step @p484 :rule trans :premises (@p483 @p482)) % 0.50/0.71 (step @p485 :rule cong :premises (@p484 @p480) :args (@t236)) % 0.50/0.71 (step @p486 :rule cong :premises (@p485) :args (@t237)) % 0.50/0.71 (step @p487 :rule trans :premises (@p486 @p479)) % 0.50/0.71 (step @p488 :rule refl :args (tptp.powersetI)) % 0.50/0.71 (step @p489 :rule cong :premises (@p488 @p487) :args (@t238)) % 0.50/0.71 (step @p490 :rule eq_resolve :premises (@p35 @p489)) % 0.50/0.71 (step @p491 :rule cong :premises (@p490 @p473) :args (@t619)) % 0.50/0.71 (step @p492 :rule refl :args (@t358)) % 0.50/0.71 (step @p493 :rule refl :args (@t357)) % 0.50/0.71 (step @p494 :rule refl :args (@t2)) % 0.50/0.71 (step @p495 :rule cong :premises (@p494 @p493) :args (@t358)) % 0.50/0.71 (step @p496 :rule trans :premises (@p495 @p492)) % 0.50/0.71 (step @p497 :rule refl :args (@t155)) % 0.50/0.71 (step @p498 :rule ho_cong :premises (@p497 @p493)) % 0.50/0.71 (step @p499 :rule cong :premises (@p498 @p496) :args ((= @t620 @t358))) % 0.50/0.71 (step @p500 :rule symm :premises (@p499)) % 0.50/0.71 (step @p501 :rule refl :args ((_ @t155 @t357))) % 0.50/0.71 (step @p502 :rule eq_resolve :premises (@p501 @p500)) % 0.50/0.71 (step @p503 :rule cong :premises (@p494 @p502) :args (@t621)) % 0.50/0.71 (step @p504 :rule cong :premises (@p503) :args ((forall @t64 @t621))) % 0.50/0.71 (step @p505 :rule eq-symm :args (@t620 @t2)) % 0.50/0.71 (step @p506 :rule symm :premises (@p493)) % 0.50/0.71 (step @p507 :rule alpha_equiv :args (@t232 @t559 (@list @t356))) % 0.50/0.71 (step @p508 :rule trans :premises (@p507 @p506)) % 0.50/0.71 (step @p509 :rule refl :args (@t155)) % 0.50/0.71 (step @p510 :rule ho_cong :premises (@p509 @p508)) % 0.50/0.71 (step @p511 :rule cong :premises (@p510 @p171) :args (@t233)) % 0.50/0.71 (step @p512 :rule trans :premises (@p511 @p505)) % 0.50/0.71 (step @p513 :rule cong :premises (@p512) :args (@t234)) % 0.50/0.71 (step @p514 :rule trans :premises (@p513 @p504)) % 0.50/0.71 (step @p515 :rule refl :args (tptp.setoftrueEq)) % 0.50/0.71 (step @p516 :rule cong :premises (@p515 @p514) :args (@t235)) % 0.50/0.71 (step @p517 :rule eq_resolve :premises (@p34 @p516)) % 0.50/0.71 (step @p518 :rule cong :premises (@p517 @p491) :args (@t622)) % 0.50/0.71 (step @p519 :rule refl :args (@t359)) % 0.50/0.71 (step @p520 :rule refl :args (@t21)) % 0.50/0.71 (step @p521 :rule cong :premises (@p520 @p519) :args ((= @t21 @t359))) % 0.50/0.71 (step @p522 :rule symm :premises (@p521)) % 0.50/0.71 (step @p523 :rule eq_resolve :premises (@p520 @p522)) % 0.50/0.71 (step @p524 :rule refl :args ((tptp.in @t19 @t25))) % 0.50/0.71 (step @p525 :rule refl :args (@t360)) % 0.50/0.71 (step @p526 :rule refl :args (@t19)) % 0.50/0.71 (step @p527 :rule cong :premises (@p526 @p525) :args (@t361)) % 0.50/0.71 (step @p528 :rule trans :premises (@p527 @p524)) % 0.50/0.71 (step @p529 :rule refl :args (@t20)) % 0.50/0.71 (step @p530 :rule ho_cong :premises (@p529 @p525)) % 0.50/0.71 (step @p531 :rule cong :premises (@p530 @p528) :args ((= (_ @t20 @t360) @t361))) % 0.50/0.71 (step @p532 :rule symm :premises (@p531)) % 0.50/0.71 (step @p533 :rule refl :args (@t26)) % 0.50/0.71 (step @p534 :rule eq_resolve :premises (@p533 @p532)) % 0.50/0.71 (step @p535 :rule refl :args (@t25)) % 0.50/0.71 (step @p536 :rule cong :premises (@p535 @p525) :args ((= @t25 @t360))) % 0.50/0.71 (step @p537 :rule symm :premises (@p536)) % 0.50/0.71 (step @p538 :rule eq_resolve :premises (@p535 @p537)) % 0.50/0.71 (step @p539 :rule ho_cong :premises (@p529 @p538)) % 0.50/0.71 (step @p540 :rule trans :premises (@p539 @p534)) % 0.50/0.71 (step @p541 :rule cong :premises (@p540) :args (@t623)) % 0.50/0.71 (step @p542 :rule nary_cong :premises (@p541 @p209 @p523) :args (@t624)) % 0.50/0.71 (step @p543 :rule cong :premises (@p542) :args ((forall @t28 @t624))) % 0.50/0.71 (step @p544 :rule aci_norm :args ((= (or @t623 @t625) @t624))) % 0.50/0.71 (step @p545 :rule bool-impl-elim :args (@t26 @t625)) % 0.50/0.71 (step @p546 :rule trans :premises (@p545 @p544)) % 0.50/0.71 (step @p547 :rule cong :premises (@p546) :args ((forall @t28 (=> @t26 @t625)))) % 0.50/0.71 (step @p548 :rule trans :premises (@p547 @p543)) % 0.50/0.71 (step @p549 :rule refl :args (@t21)) % 0.50/0.71 (step @p550 :rule nary_cong :premises (@p218 @p549) :args (@t23)) % 0.50/0.71 (step @p551 :rule refl :args (@t26)) % 0.50/0.71 (step @p552 :rule cong :premises (@p551 @p550) :args (@t229)) % 0.50/0.71 (step @p553 :rule cong :premises (@p552) :args (@t230)) % 0.50/0.71 (step @p554 :rule trans :premises (@p553 @p548)) % 0.50/0.71 (step @p555 :rule refl :args (tptp.setadjoinOr)) % 0.50/0.71 (step @p556 :rule cong :premises (@p555 @p554) :args (@t231)) % 0.50/0.71 (step @p557 :rule eq_resolve :premises (@p33 @p556)) % 0.50/0.71 (step @p558 :rule cong :premises (@p557 @p518) :args (@t626)) % 0.50/0.71 (step @p559 :rule refl :args (@t359)) % 0.50/0.71 (step @p560 :rule nary_cong :premises (@p541 @p209 @p559) :args (@t627)) % 0.50/0.71 (step @p561 :rule cong :premises (@p560) :args ((forall @t28 @t627))) % 0.50/0.71 (step @p562 :rule aci_norm :args ((= (or @t623 @t521) @t627))) % 0.50/0.71 (step @p563 :rule bool-impl-elim :args (@t26 @t521)) % 0.50/0.71 (step @p564 :rule trans :premises (@p563 @p562)) % 0.50/0.71 (step @p565 :rule cong :premises (@p564) :args ((forall @t28 (=> @t26 @t521)))) % 0.50/0.71 (step @p566 :rule trans :premises (@p565 @p561)) % 0.50/0.71 (step @p567 :rule aci_norm :args ((= (and @t359 true) @t359))) % 0.50/0.71 (step @p568 :rule refl :args (@t359)) % 0.50/0.71 (step @p569 :rule nary_cong :premises (@p568 @p337) :args (@t628)) % 0.50/0.71 (step @p570 :rule trans :premises (@p569 @p567)) % 0.50/0.71 (step @p571 :rule aci_norm :args ((= (and @t129 true) @t129))) % 0.50/0.71 (step @p572 :rule nary_cong :premises (@p237 @p337) :args (@t629)) % 0.50/0.71 (step @p573 :rule trans :premises (@p572 @p571)) % 0.50/0.71 (step @p574 :rule nary_cong :premises (@p573 @p570) :args (@t630)) % 0.50/0.71 (step @p575 :rule aci_norm :args ((= @t631 @t630))) % 0.50/0.71 (step @p576 :rule trans :premises (@p575 @p574)) % 0.50/0.71 (step @p577 :rule quant-var-elim-eq :args ((= (forall @t177 (or @t598 @t633 @t632 @t172)) @t631))) % 0.50/0.71 (step @p578 :rule refl :args (@t632)) % 0.50/0.71 (step @p579 :rule refl :args (@t633)) % 0.50/0.71 (step @p580 :rule nary_cong :premises (@p350 @p579 @p578 @p343) :args (@t634)) % 0.50/0.71 (step @p581 :rule aci_norm :args ((= @t635 @t634))) % 0.50/0.71 (step @p582 :rule trans :premises (@p581 @p580)) % 0.50/0.71 (step @p583 :rule cong :premises (@p582) :args ((forall @t177 @t635))) % 0.50/0.71 (step @p584 :rule trans :premises (@p583 @p577)) % 0.50/0.71 (step @p585 :rule trans :premises (@p584 @p576)) % 0.50/0.71 (step @p586 :rule refl :args (@t596)) % 0.50/0.71 (step @p587 :rule nary_cong :premises (@p523 @p586) :args (@t636)) % 0.50/0.71 (step @p588 :rule nary_cong :premises (@p579 @p587 @p343) :args (@t637)) % 0.50/0.71 (step @p589 :rule cong :premises (@p588) :args ((forall @t177 @t637))) % 0.50/0.71 (step @p590 :rule trans :premises (@p589 @p585)) % 0.50/0.71 (step @p591 :rule aci_norm :args ((= (or @t633 (or @t636 @t172)) @t637))) % 0.50/0.71 (step @p592 :rule bool-implies-de-morgan :args (@t21 @t172)) % 0.50/0.71 (step @p593 :rule nary_cong :premises (@p592 @p343) :args ((or (not @t221) @t172))) % 0.50/0.71 (step @p594 :rule bool-impl-elim :args (@t221 @t172)) % 0.50/0.71 (step @p595 :rule trans :premises (@p594 @p593)) % 0.50/0.71 (step @p596 :rule bool-implies-de-morgan :args (@t129 @t172)) % 0.50/0.71 (step @p597 :rule nary_cong :premises (@p596 @p595) :args ((or (not @t638) @t222))) % 0.50/0.71 (step @p598 :rule trans :premises (@p597 @p591)) % 0.50/0.71 (step @p599 :rule bool-impl-elim :args (@t638 @t222)) % 0.50/0.71 (step @p600 :rule trans :premises (@p599 @p598)) % 0.50/0.71 (step @p601 :rule cong :premises (@p600) :args ((forall @t177 (=> @t638 @t222)))) % 0.50/0.71 (step @p602 :rule trans :premises (@p601 @p590)) % 0.50/0.71 (step @p603 :rule refl :args (@t222)) % 0.50/0.71 (step @p604 :rule cong :premises (@p218 @p363) :args (@t223)) % 0.50/0.71 (step @p605 :rule cong :premises (@p604 @p603) :args (@t224)) % 0.50/0.71 (step @p606 :rule cong :premises (@p605) :args (@t225)) % 0.50/0.71 (step @p607 :rule trans :premises (@p606 @p602)) % 0.50/0.71 (step @p608 :rule cong :premises (@p551 @p607) :args (@t226)) % 0.50/0.71 (step @p609 :rule cong :premises (@p608) :args (@t227)) % 0.50/0.71 (step @p610 :rule trans :premises (@p609 @p566)) % 0.50/0.71 (step @p611 :rule refl :args (tptp.setadjoinE)) % 0.50/0.71 (step @p612 :rule cong :premises (@p611 @p610) :args (@t228)) % 0.50/0.71 (step @p613 :rule eq_resolve :premises (@p32 @p612)) % 0.50/0.71 (step @p614 :rule cong :premises (@p613 @p558) :args (@t639)) % 0.50/0.71 (step @p615 :rule cong :premises (@p523) :args (@t640)) % 0.50/0.71 (step @p616 :rule nary_cong :premises (@p615 @p540) :args (@t641)) % 0.50/0.71 (step @p617 :rule cong :premises (@p616) :args ((forall @t28 @t641))) % 0.50/0.71 (step @p618 :rule bool-impl-elim :args (@t21 @t26)) % 0.50/0.71 (step @p619 :rule cong :premises (@p618) :args (@t219)) % 0.50/0.71 (step @p620 :rule trans :premises (@p619 @p617)) % 0.50/0.71 (step @p621 :rule refl :args (tptp.setadjoinIR)) % 0.50/0.71 (step @p622 :rule cong :premises (@p621 @p620) :args (@t220)) % 0.50/0.71 (step @p623 :rule eq_resolve :premises (@p31 @p622)) % 0.50/0.71 (step @p624 :rule cong :premises (@p623 @p614) :args (@t642)) % 0.50/0.71 (step @p625 :rule cong :premises (@p30 @p624) :args (@t643)) % 0.50/0.71 (step @p626 :rule refl :args ((tptp.in @t4 @t213))) % 0.50/0.71 (step @p627 :rule refl :args (@t368)) % 0.50/0.71 (step @p628 :rule cong :premises (@p286 @p627) :args (@t369)) % 0.50/0.71 (step @p629 :rule trans :premises (@p628 @p626)) % 0.50/0.71 (step @p630 :rule ho_cong :premises (@p289 @p627)) % 0.50/0.71 (step @p631 :rule cong :premises (@p630 @p629) :args ((= (_ @t5 @t368) @t369))) % 0.50/0.71 (step @p632 :rule symm :premises (@p631)) % 0.50/0.71 (step @p633 :rule refl :args (@t214)) % 0.50/0.71 (step @p634 :rule eq_resolve :premises (@p633 @p632)) % 0.50/0.71 (step @p635 :rule refl :args (@t213)) % 0.50/0.71 (step @p636 :rule cong :premises (@p635 @p627) :args ((= @t213 @t368))) % 0.50/0.71 (step @p637 :rule symm :premises (@p636)) % 0.50/0.71 (step @p638 :rule eq_resolve :premises (@p635 @p637)) % 0.50/0.71 (step @p639 :rule ho_cong :premises (@p289 @p638)) % 0.50/0.71 (step @p640 :rule trans :premises (@p639 @p634)) % 0.50/0.71 (step @p641 :rule cong :premises (@p640) :args (@t215)) % 0.50/0.71 (step @p642 :rule refl :args (tptp.setadjoinIL)) % 0.50/0.71 (step @p643 :rule cong :premises (@p642 @p641) :args (@t216)) % 0.50/0.71 (step @p644 :rule eq_resolve :premises (@p29 @p643)) % 0.50/0.71 (step @p645 :rule cong :premises (@p644 @p625) :args (@t644)) % 0.50/0.71 (step @p646 :rule aci_norm :args ((= (or @t373 false) @t373))) % 0.50/0.71 (step @p647 :rule evaluate :args ((not true))) % 0.50/0.71 (step @p648 :rule eq-refl :args (tptp.emptyset)) % 0.50/0.71 (step @p649 :rule cong :premises (@p648) :args (@t645)) % 0.50/0.71 (step @p650 :rule trans :premises (@p649 @p647)) % 0.50/0.71 (step @p651 :rule refl :args (@t373)) % 0.50/0.71 (step @p652 :rule nary_cong :premises (@p651 @p650) :args (@t646)) % 0.50/0.71 (step @p653 :rule trans :premises (@p652 @p646)) % 0.50/0.71 (step @p654 :rule cong :premises (@p653) :args ((forall @t374 @t646))) % 0.50/0.71 (step @p655 :rule quant-var-elim-eq :args ((= (forall @t64 @t648) @t646))) % 0.50/0.71 (step @p656 :rule aci_norm :args ((= @t649 @t648))) % 0.50/0.71 (step @p657 :rule cong :premises (@p656) :args (@t650)) % 0.50/0.71 (step @p658 :rule trans :premises (@p657 @p655)) % 0.50/0.71 (step @p659 :rule cong :premises (@p658) :args (@t651)) % 0.50/0.71 (step @p660 :rule quant-merge-prenex :args ((= @t651 @t652))) % 0.50/0.71 (step @p661 :rule symm :premises (@p660)) % 0.50/0.71 (step @p662 :rule quant_var_reordering :args ((= @t653 @t652))) % 0.50/0.71 (step @p663 :rule trans :premises (@p662 @p661 @p659)) % 0.50/0.71 (step @p664 :rule trans :premises (@p663 @p654)) % 0.50/0.71 (step @p665 :rule quant-merge-prenex :args ((= (forall @t64 @t654) @t653))) % 0.50/0.71 (step @p666 :rule refl :args (@t543)) % 0.50/0.71 (step @p667 :rule alpha_equiv :args (@t655 (@list @t372) @t559)) % 0.50/0.71 (step @p668 :rule nary_cong :premises (@p667 @p666) :args (@t656)) % 0.50/0.71 (step @p669 :rule quant-miniscope-or :args ((= @t654 @t656))) % 0.50/0.71 (step @p670 :rule trans :premises (@p669 @p668)) % 0.50/0.71 (step @p671 :rule symm :premises (@p670)) % 0.50/0.71 (step @p672 :rule cong :premises (@p671) :args ((forall @t64 (or @t330 @t543)))) % 0.50/0.71 (step @p673 :rule trans :premises (@p672 @p665)) % 0.50/0.71 (step @p674 :rule trans :premises (@p673 @p664)) % 0.50/0.71 (step @p675 :rule bool-double-not-elim :args (@t330)) % 0.50/0.71 (step @p676 :rule nary_cong :premises (@p675 @p666) :args ((or @t657 @t543))) % 0.50/0.71 (step @p677 :rule bool-impl-elim :args (@t331 @t543)) % 0.50/0.71 (step @p678 :rule trans :premises (@p677 @p676)) % 0.50/0.71 (step @p679 :rule cong :premises (@p678) :args ((forall @t64 (=> @t331 @t543)))) % 0.50/0.71 (step @p680 :rule trans :premises (@p679 @p674)) % 0.50/0.71 (step @p681 :rule cong :premises (@p160 @p164) :args (@t658)) % 0.50/0.71 (step @p682 :rule cong :premises (@p681) :args (@t659)) % 0.50/0.71 (step @p683 :rule trans :premises (@p682 @p680)) % 0.50/0.71 (step @p684 :rule refl :args (tptp.nonemptyI1)) % 0.50/0.71 (step @p685 :rule cong :premises (@p684 @p683) :args ((= tptp.nonemptyI1 @t659))) % 0.50/0.71 (step @p686 :rule refl :args (@t89)) % 0.50/0.71 (step @p687 :rule cong :premises (@p686 @p172) :args (@t210)) % 0.50/0.71 (step @p688 :rule cong :premises (@p687) :args (@t211)) % 0.50/0.71 (step @p689 :rule cong :premises (@p684 @p688) :args (@t212)) % 0.50/0.71 (step @p690 :rule trans :premises (@p689 @p685)) % 0.50/0.71 (step @p691 :rule eq_resolve :premises (@p28 @p690)) % 0.50/0.71 (step @p692 :rule cong :premises (@p691 @p645) :args (@t660)) % 0.50/0.71 (step @p693 :rule lambda-elim :args ((= @t661 @t143))) % 0.50/0.71 (step @p694 :rule cong :premises (@p171 @p693) :args (@t662)) % 0.50/0.71 (step @p695 :rule refl :args (tptp.emptyset)) % 0.50/0.71 (step @p696 :rule cong :premises (@p695 @p694) :args (@t663)) % 0.50/0.71 (step @p697 :rule cong :premises (@p696) :args (@t664)) % 0.50/0.71 (step @p698 :rule refl :args (@t379)) % 0.50/0.71 (step @p699 :rule refl :args (@t329)) % 0.50/0.71 (step @p700 :rule nary_cong :premises (@p699 @p698 @p697) :args (@t665)) % 0.50/0.71 (step @p701 :rule cong :premises (@p700) :args ((forall @t159 @t665))) % 0.50/0.71 (step @p702 :rule refl :args ((tptp.dsetconstr @t2 @t154))) % 0.50/0.71 (step @p703 :rule cong :premises (@p210) :args (@t661)) % 0.50/0.71 (step @p704 :rule cong :premises (@p494 @p703) :args (@t662)) % 0.50/0.71 (step @p705 :rule trans :premises (@p704 @p702)) % 0.50/0.71 (step @p706 :rule ho_cong :premises (@p497 @p703)) % 0.50/0.71 (step @p707 :rule cong :premises (@p706 @p705) :args ((= (_ @t155 @t661) @t662))) % 0.50/0.71 (step @p708 :rule symm :premises (@p707)) % 0.50/0.71 (step @p709 :rule refl :args (@t156)) % 0.50/0.71 (step @p710 :rule eq_resolve :premises (@p709 @p708)) % 0.50/0.71 (step @p711 :rule cong :premises (@p214) :args (@t154)) % 0.50/0.71 (step @p712 :rule ho_cong :premises (@p497 @p711)) % 0.50/0.71 (step @p713 :rule trans :premises (@p712 @p710)) % 0.50/0.71 (step @p714 :rule cong :premises (@p52 @p713) :args (@t666)) % 0.50/0.71 (step @p715 :rule cong :premises (@p714) :args (@t667)) % 0.50/0.71 (step @p716 :rule nary_cong :premises (@p156 @p231 @p715) :args (@t668)) % 0.50/0.71 (step @p717 :rule cong :premises (@p716) :args ((forall @t159 @t668))) % 0.50/0.71 (step @p718 :rule trans :premises (@p717 @p701)) % 0.50/0.71 (step @p719 :rule aci_norm :args ((= (or @t194 (or @t567 @t667)) @t668))) % 0.50/0.71 (step @p720 :rule bool-impl-elim :args (@t144 @t667)) % 0.50/0.71 (step @p721 :rule refl :args (@t194)) % 0.50/0.71 (step @p722 :rule nary_cong :premises (@p721 @p720) :args ((or @t194 @t669))) % 0.50/0.71 (step @p723 :rule trans :premises (@p722 @p719)) % 0.50/0.71 (step @p724 :rule bool-impl-elim :args (@t7 @t669)) % 0.50/0.71 (step @p725 :rule trans :premises (@p724 @p723)) % 0.50/0.71 (step @p726 :rule cong :premises (@p725) :args ((forall @t159 (=> @t7 @t669)))) % 0.50/0.71 (step @p727 :rule trans :premises (@p726 @p718)) % 0.50/0.71 (step @p728 :rule eq-symm :args (@t156 tptp.emptyset)) % 0.50/0.71 (step @p729 :rule cong :premises (@p728) :args (@t670)) % 0.50/0.71 (step @p730 :rule beta-reduce :args ((= @t671 @t670))) % 0.50/0.71 (step @p731 :rule trans :premises (@p730 @p729)) % 0.50/0.71 (step @p732 :rule cong :premises (@p268 @p731) :args (@t672)) % 0.50/0.71 (step @p733 :rule refl :args (@t7)) % 0.50/0.71 (step @p734 :rule cong :premises (@p733 @p732) :args (@t673)) % 0.50/0.71 (step @p735 :rule cong :premises (@p734) :args (@t674)) % 0.50/0.71 (step @p736 :rule trans :premises (@p735 @p727)) % 0.50/0.71 (step @p737 :rule refl :args (tptp.nonemptyI)) % 0.50/0.71 (step @p738 :rule cong :premises (@p737 @p736) :args ((= tptp.nonemptyI @t674))) % 0.50/0.71 (step @p739 :rule refl :args (@t156)) % 0.50/0.71 (step @p740 :rule ho_cong :premises (@p48 @p739)) % 0.50/0.71 (step @p741 :rule cong :premises (@p268 @p740) :args (@t206)) % 0.50/0.71 (step @p742 :rule cong :premises (@p733 @p741) :args (@t207)) % 0.50/0.71 (step @p743 :rule cong :premises (@p742) :args (@t208)) % 0.50/0.71 (step @p744 :rule cong :premises (@p737 @p743) :args (@t209)) % 0.50/0.71 (step @p745 :rule trans :premises (@p744 @p738)) % 0.50/0.71 (step @p746 :rule eq_resolve :premises (@p27 @p745)) % 0.50/0.71 (step @p747 :rule cong :premises (@p746 @p692) :args (@t675)) % 0.50/0.71 (step @p748 :rule cong :premises (@p164 @p160) :args (@t676)) % 0.50/0.71 (step @p749 :rule cong :premises (@p748) :args (@t677)) % 0.50/0.71 (step @p750 :rule trans :premises (@p749 @p150)) % 0.50/0.71 (step @p751 :rule refl :args (tptp.nonemptyE1)) % 0.50/0.71 (step @p752 :rule cong :premises (@p751 @p750) :args ((= tptp.nonemptyE1 @t677))) % 0.50/0.71 (step @p753 :rule cong :premises (@p172 @p686) :args (@t203)) % 0.50/0.71 (step @p754 :rule cong :premises (@p753) :args (@t204)) % 0.50/0.71 (step @p755 :rule cong :premises (@p751 @p754) :args (@t205)) % 0.50/0.71 (step @p756 :rule trans :premises (@p755 @p752)) % 0.50/0.71 (step @p757 :rule eq_resolve :premises (@p26 @p756)) % 0.50/0.71 (step @p758 :rule cong :premises (@p757 @p747) :args (@t678)) % 0.50/0.71 (step @p759 :rule refl :args (@t4)) % 0.50/0.71 (step @p760 :rule cong :premises (@p759 @p694) :args (@t679)) % 0.50/0.71 (step @p761 :rule refl :args (@t378)) % 0.50/0.71 (step @p762 :rule cong :premises (@p761 @p760) :args (@t680)) % 0.50/0.71 (step @p763 :rule nary_cong :premises (@p699 @p762) :args (@t681)) % 0.50/0.71 (step @p764 :rule cong :premises (@p763) :args ((forall @t159 @t681))) % 0.50/0.71 (step @p765 :rule refl :args ((tptp.in @t4 @t156))) % 0.50/0.71 (step @p766 :rule cong :premises (@p286 @p705) :args (@t679)) % 0.50/0.71 (step @p767 :rule trans :premises (@p766 @p765)) % 0.50/0.71 (step @p768 :rule ho_cong :premises (@p289 @p705)) % 0.50/0.71 (step @p769 :rule cong :premises (@p768 @p767) :args ((= (_ @t5 @t662) @t679))) % 0.50/0.71 (step @p770 :rule symm :premises (@p769)) % 0.50/0.71 (step @p771 :rule refl :args (@t157)) % 0.50/0.71 (step @p772 :rule eq_resolve :premises (@p771 @p770)) % 0.50/0.71 (step @p773 :rule ho_cong :premises (@p289 @p713)) % 0.50/0.71 (step @p774 :rule trans :premises (@p773 @p772)) % 0.50/0.71 (step @p775 :rule cong :premises (@p230 @p774) :args (@t682)) % 0.50/0.71 (step @p776 :rule nary_cong :premises (@p156 @p775) :args (@t683)) % 0.50/0.71 (step @p777 :rule cong :premises (@p776) :args ((forall @t159 @t683))) % 0.50/0.71 (step @p778 :rule trans :premises (@p777 @p764)) % 0.50/0.71 (step @p779 :rule bool-impl-elim :args (@t7 @t682)) % 0.50/0.71 (step @p780 :rule cong :premises (@p779) :args ((forall @t159 (=> @t7 @t682)))) % 0.50/0.71 (step @p781 :rule trans :premises (@p780 @p778)) % 0.50/0.71 (step @p782 :rule eq-symm :args (@t157 @t144)) % 0.50/0.71 (step @p783 :rule cong :premises (@p733 @p782) :args (@t199)) % 0.50/0.71 (step @p784 :rule cong :premises (@p783) :args (@t200)) % 0.50/0.71 (step @p785 :rule trans :premises (@p784 @p781)) % 0.50/0.71 (step @p786 :rule refl :args (tptp.setbeta)) % 0.50/0.71 (step @p787 :rule cong :premises (@p786 @p785) :args (@t201)) % 0.50/0.71 (step @p788 :rule eq_resolve :premises (@p25 @p787)) % 0.50/0.71 (step @p789 :rule cong :premises (@p788 @p758) :args (@t684)) % 0.50/0.71 (step @p790 :rule eq-symm :args (@t386 tptp.noeltsimpempty)) % 0.50/0.71 (step @p791 :rule refl :args (tptp.noeltsimpempty)) % 0.50/0.71 (step @p792 :rule bool-impl-elim :args (@t330 @t193)) % 0.50/0.71 (step @p793 :rule cong :premises (@p792) :args ((forall @t64 (=> @t330 @t193)))) % 0.50/0.71 (step @p794 :rule refl :args (@t193)) % 0.50/0.71 (step @p795 :rule cong :premises (@p157 @p794) :args (@t196)) % 0.50/0.71 (step @p796 :rule cong :premises (@p795) :args (@t197)) % 0.50/0.71 (step @p797 :rule trans :premises (@p796 @p793)) % 0.50/0.71 (step @p798 :rule cong :premises (@p797 @p791) :args ((= @t197 tptp.noeltsimpempty))) % 0.50/0.71 (step @p799 :rule trans :premises (@p798 @p790)) % 0.50/0.71 (step @p800 :rule eq-symm :args (tptp.noeltsimpempty @t197)) % 0.50/0.71 (step @p801 :rule trans :premises (@p800 @p799)) % 0.50/0.71 (step @p802 :rule eq_resolve :premises (@p24 @p801)) % 0.50/0.71 (step @p803 :rule cong :premises (@p802 @p789) :args (@t685)) % 0.50/0.71 (step @p804 :rule refl :args (tptp.emptyI)) % 0.50/0.71 (step @p805 :rule cong :premises (@p804 @p797) :args (@t198)) % 0.50/0.71 (step @p806 :rule eq_resolve :premises (@p23 @p805)) % 0.50/0.71 (step @p807 :rule cong :premises (@p806 @p803) :args (@t686)) % 0.50/0.71 (step @p808 :rule aci_norm :args ((= (or @t390 (or @t355 @t3)) @t391))) % 0.50/0.71 (step @p809 :rule bool-impl-elim :args (@t354 @t3)) % 0.50/0.71 (step @p810 :rule refl :args (@t390)) % 0.50/0.71 (step @p811 :rule nary_cong :premises (@p810 @p809) :args ((or @t390 @t687))) % 0.50/0.71 (step @p812 :rule trans :premises (@p811 @p808)) % 0.50/0.71 (step @p813 :rule bool-impl-elim :args (@t389 @t687)) % 0.50/0.71 (step @p814 :rule trans :premises (@p813 @p812)) % 0.50/0.71 (step @p815 :rule cong :premises (@p814) :args ((forall @t12 (=> @t389 @t687)))) % 0.50/0.71 (step @p816 :rule refl :args (@t3)) % 0.50/0.71 (step @p817 :rule cong :premises (@p484 @p816) :args (@t188)) % 0.50/0.71 (step @p818 :rule nary_cong :premises (@p156 @p374) :args (@t688)) % 0.50/0.71 (step @p819 :rule cong :premises (@p818) :args ((forall @t9 @t688))) % 0.50/0.71 (step @p820 :rule bool-impl-elim :args (@t7 @t6)) % 0.50/0.71 (step @p821 :rule cong :premises (@p820) :args (@t189)) % 0.50/0.71 (step @p822 :rule trans :premises (@p821 @p819)) % 0.50/0.71 (step @p823 :rule cong :premises (@p822 @p817) :args (@t190)) % 0.50/0.71 (step @p824 :rule cong :premises (@p823) :args (@t191)) % 0.50/0.71 (step @p825 :rule trans :premises (@p824 @p815)) % 0.50/0.71 (step @p826 :rule refl :args (tptp.setext)) % 0.50/0.71 (step @p827 :rule cong :premises (@p826 @p825) :args (@t192)) % 0.50/0.71 (step @p828 :rule eq_resolve :premises (@p22 @p827)) % 0.50/0.71 (step @p829 :rule cong :premises (@p828 @p807) :args (@t689)) % 0.50/0.71 (step @p830 :rule eq-symm :args (@t394 @t19)) % 0.50/0.71 (step @p831 :rule nary_cong :premises (@p180 @p830) :args (@t690)) % 0.50/0.71 (step @p832 :rule cong :premises (@p831) :args (@t691)) % 0.50/0.71 (step @p833 :rule cong :premises (@p832) :args (@t692)) % 0.50/0.71 (step @p834 :rule refl :args (@t395)) % 0.50/0.71 (step @p835 :rule refl :args (@t396)) % 0.50/0.71 (step @p836 :rule nary_cong :premises (@p835 @p834 @p833) :args (@t693)) % 0.50/0.71 (step @p837 :rule aci_norm :args ((= @t695 @t693))) % 0.50/0.71 (step @p838 :rule trans :premises (@p837 @p836)) % 0.50/0.71 (step @p839 :rule cong :premises (@p838) :args (@t696)) % 0.50/0.71 (step @p840 :rule quant-merge-prenex :args ((= (forall @t150 @t698) @t696))) % 0.50/0.71 (step @p841 :rule refl :args (@t396)) % 0.50/0.71 (step @p842 :rule alpha_equiv :args (@t699 (@list @t394) @t559)) % 0.50/0.71 (step @p843 :rule nary_cong :premises (@p842 @p841) :args (@t700)) % 0.50/0.71 (step @p844 :rule quant-miniscope-or :args ((= @t698 @t700))) % 0.50/0.71 (step @p845 :rule trans :premises (@p844 @p843)) % 0.50/0.71 (step @p846 :rule symm :premises (@p845)) % 0.50/0.71 (step @p847 :rule cong :premises (@p846) :args ((forall @t150 (or @t563 @t396)))) % 0.50/0.71 (step @p848 :rule trans :premises (@p847 @p840)) % 0.50/0.71 (step @p849 :rule trans :premises (@p848 @p839)) % 0.50/0.71 (step @p850 :rule nary_cong :premises (@p200 @p841) :args ((or @t565 @t396))) % 0.50/0.71 (step @p851 :rule bool-impl-elim :args (@t564 @t396)) % 0.50/0.71 (step @p852 :rule trans :premises (@p851 @p850)) % 0.50/0.71 (step @p853 :rule cong :premises (@p852) :args ((forall @t150 (=> @t564 @t396)))) % 0.50/0.71 (step @p854 :rule trans :premises (@p853 @p849)) % 0.50/0.71 (step @p855 :rule cong :premises (@p231) :args (@t701)) % 0.50/0.71 (step @p856 :rule cong :premises (@p855) :args (@t702)) % 0.50/0.71 (step @p857 :rule exists-elim :args ((= @t184 @t702))) % 0.50/0.71 (step @p858 :rule trans :premises (@p857 @p856)) % 0.50/0.71 (step @p859 :rule cong :premises (@p251 @p858) :args (@t703)) % 0.50/0.71 (step @p860 :rule cong :premises (@p859) :args (@t704)) % 0.50/0.71 (step @p861 :rule trans :premises (@p860 @p854)) % 0.50/0.71 (step @p862 :rule refl :args (tptp.exuE3e)) % 0.50/0.71 (step @p863 :rule cong :premises (@p862 @p861) :args ((= tptp.exuE3e @t704))) % 0.50/0.71 (step @p864 :rule refl :args (@t184)) % 0.50/0.71 (step @p865 :rule cong :premises (@p274 @p864) :args (@t185)) % 0.50/0.71 (step @p866 :rule cong :premises (@p865) :args (@t186)) % 0.50/0.71 (step @p867 :rule cong :premises (@p862 @p866) :args (@t187)) % 0.50/0.71 (step @p868 :rule trans :premises (@p867 @p863)) % 0.50/0.71 (step @p869 :rule eq_resolve :premises (@p21 @p868)) % 0.50/0.71 (step @p870 :rule cong :premises (@p869 @p829) :args (@t705)) % 0.50/0.71 (step @p871 :rule eq-symm :args (@t401 tptp.notinemptyset)) % 0.50/0.71 (step @p872 :rule refl :args (tptp.notinemptyset)) % 0.50/0.71 (step @p873 :rule refl :args (@t400)) % 0.50/0.71 (step @p874 :rule refl :args (@t15)) % 0.50/0.71 (step @p875 :rule cong :premises (@p874 @p873) :args ((= @t15 @t400))) % 0.50/0.71 (step @p876 :rule symm :premises (@p875)) % 0.50/0.71 (step @p877 :rule eq_resolve :premises (@p874 @p876)) % 0.50/0.71 (step @p878 :rule cong :premises (@p877) :args (@t16)) % 0.50/0.71 (step @p879 :rule cong :premises (@p878) :args (@t17)) % 0.50/0.71 (step @p880 :rule cong :premises (@p879 @p872) :args ((= @t17 tptp.notinemptyset))) % 0.50/0.71 (step @p881 :rule trans :premises (@p880 @p871)) % 0.50/0.71 (step @p882 :rule eq-symm :args (tptp.notinemptyset @t17)) % 0.50/0.71 (step @p883 :rule trans :premises (@p882 @p881)) % 0.50/0.71 (step @p884 :rule eq_resolve :premises (@p20 @p883)) % 0.50/0.71 (step @p885 :rule cong :premises (@p884 @p870) :args (@t706)) % 0.50/0.71 (step @p886 :rule bool-impl-false1 :args (@t15)) % 0.50/0.71 (step @p887 :rule cong :premises (@p886) :args (@t182)) % 0.50/0.71 (step @p888 :rule trans :premises (@p887 @p879)) % 0.50/0.71 (step @p889 :rule refl :args (tptp.emptysetimpfalse)) % 0.50/0.71 (step @p890 :rule cong :premises (@p889 @p888) :args (@t183)) % 0.50/0.71 (step @p891 :rule eq_resolve :premises (@p19 @p890)) % 0.50/0.71 (step @p892 :rule cong :premises (@p891 @p885) :args (@t707)) % 0.50/0.71 (step @p893 :rule quant-var-elim-eq :args ((= (forall @t177 (or @t598 @t172)) false))) % 0.50/0.71 (step @p894 :rule nary_cong :premises (@p350 @p343) :args (@t708)) % 0.50/0.71 (step @p895 :rule aci_norm :args ((= @t172 @t708))) % 0.50/0.71 (step @p896 :rule trans :premises (@p895 @p894)) % 0.50/0.71 (step @p897 :rule cong :premises (@p896) :args (@t178)) % 0.50/0.71 (step @p898 :rule trans :premises (@p897 @p893)) % 0.50/0.71 (step @p899 :rule refl :args (@t15)) % 0.50/0.71 (step @p900 :rule cong :premises (@p899 @p898) :args (@t179)) % 0.50/0.71 (step @p901 :rule trans :premises (@p900 @p886)) % 0.50/0.71 (step @p902 :rule cong :premises (@p901) :args (@t180)) % 0.50/0.71 (step @p903 :rule trans :premises (@p902 @p879)) % 0.50/0.71 (step @p904 :rule refl :args (tptp.emptysetE)) % 0.50/0.71 (step @p905 :rule cong :premises (@p904 @p903) :args (@t181)) % 0.50/0.71 (step @p906 :rule eq_resolve :premises (@p18 @p905)) % 0.50/0.71 (step @p907 :rule cong :premises (@p906 @p892) :args (@t709)) % 0.50/0.71 (step @p908 :rule refl :args (@t406)) % 0.50/0.71 (step @p909 :rule symm :premises (@p908)) % 0.50/0.71 (step @p910 :rule alpha_equiv :args (@t712 @t713 (@list @t405))) % 0.50/0.71 (step @p911 :rule trans :premises (@p910 @p909)) % 0.50/0.71 (step @p912 :rule refl :args (@t407)) % 0.50/0.71 (step @p913 :rule cong :premises (@p912 @p911) :args (@t714)) % 0.50/0.71 (step @p914 :rule cong :premises (@p759 @p913) :args (@t715)) % 0.50/0.71 (step @p915 :rule cong :premises (@p914) :args (@t716)) % 0.50/0.71 (step @p916 :rule aci_norm :args ((= @t717 @t716))) % 0.50/0.71 (step @p917 :rule trans :premises (@p916 @p915)) % 0.50/0.71 (step @p918 :rule cong :premises (@p917) :args ((forall @t9 @t717))) % 0.50/0.71 (step @p919 :rule quant-var-elim-eq :args ((= (forall @t177 (or @t598 @t721 @t172)) @t717))) % 0.50/0.71 (step @p920 :rule refl :args (@t721)) % 0.50/0.71 (step @p921 :rule nary_cong :premises (@p350 @p920 @p343) :args (@t722)) % 0.50/0.71 (step @p922 :rule aci_norm :args ((= @t723 @t722))) % 0.50/0.71 (step @p923 :rule trans :premises (@p922 @p921)) % 0.50/0.71 (step @p924 :rule cong :premises (@p923) :args (@t724)) % 0.50/0.71 (step @p925 :rule trans :premises (@p924 @p919)) % 0.50/0.71 (step @p926 :rule cong :premises (@p925) :args (@t725)) % 0.50/0.71 (step @p927 :rule quant-merge-prenex :args ((= @t725 @t726))) % 0.50/0.71 (step @p928 :rule symm :premises (@p927)) % 0.50/0.71 (step @p929 :rule quant_var_reordering :args ((= (forall @t174 @t723) @t726))) % 0.50/0.71 (step @p930 :rule trans :premises (@p929 @p928 @p926)) % 0.50/0.71 (step @p931 :rule trans :premises (@p930 @p918)) % 0.50/0.71 (step @p932 :rule refl :args ((tptp.in @t4 @t727))) % 0.50/0.71 (step @p933 :rule refl :args ((tptp.dsetconstr @t320 @t718))) % 0.50/0.71 (step @p934 :rule refl :args (@t718)) % 0.50/0.71 (step @p935 :rule refl :args (@t407)) % 0.50/0.71 (step @p936 :rule cong :premises (@p935 @p934) :args (@t719)) % 0.50/0.71 (step @p937 :rule trans :premises (@p936 @p933)) % 0.50/0.71 (step @p938 :rule cong :premises (@p286 @p937) :args (@t720)) % 0.50/0.71 (step @p939 :rule trans :premises (@p938 @p932)) % 0.50/0.71 (step @p940 :rule ho_cong :premises (@p289 @p937)) % 0.50/0.71 (step @p941 :rule cong :premises (@p940 @p939) :args ((= (_ @t5 @t719) @t720))) % 0.50/0.71 (step @p942 :rule symm :premises (@p941)) % 0.50/0.71 (step @p943 :rule refl :args (@t728)) % 0.50/0.71 (step @p944 :rule eq_resolve :premises (@p943 @p942)) % 0.50/0.71 (step @p945 :rule refl :args (tptp.dsetconstr)) % 0.50/0.71 (step @p946 :rule ho_cong :premises (@p945 @p935)) % 0.50/0.71 (step @p947 :rule ho_cong :premises (@p946 @p934)) % 0.50/0.71 (step @p948 :rule cong :premises (@p947 @p937) :args ((= (_ (_ tptp.dsetconstr @t407) @t718) @t719))) % 0.50/0.71 (step @p949 :rule symm :premises (@p948)) % 0.50/0.71 (step @p950 :rule refl :args (@t727)) % 0.50/0.71 (step @p951 :rule eq_resolve :premises (@p950 @p949)) % 0.50/0.71 (step @p952 :rule refl :args (@t320)) % 0.50/0.71 (step @p953 :rule cong :premises (@p952 @p935) :args ((= @t320 @t407))) % 0.50/0.71 (step @p954 :rule symm :premises (@p953)) % 0.50/0.71 (step @p955 :rule eq_resolve :premises (@p952 @p954)) % 0.50/0.71 (step @p956 :rule ho_cong :premises (@p945 @p955)) % 0.50/0.71 (step @p957 :rule ho_cong :premises (@p956 @p934)) % 0.50/0.71 (step @p958 :rule trans :premises (@p957 @p951)) % 0.50/0.71 (step @p959 :rule ho_cong :premises (@p289 @p958)) % 0.50/0.71 (step @p960 :rule trans :premises (@p959 @p944)) % 0.50/0.71 (step @p961 :rule cong :premises (@p960) :args (@t729)) % 0.50/0.71 (step @p962 :rule nary_cong :premises (@p961 @p343) :args (@t730)) % 0.50/0.71 (step @p963 :rule cong :premises (@p962) :args ((forall @t174 @t730))) % 0.50/0.71 (step @p964 :rule trans :premises (@p963 @p931)) % 0.50/0.71 (step @p965 :rule bool-impl-elim :args (@t728 @t172)) % 0.50/0.71 (step @p966 :rule cong :premises (@p965) :args ((forall @t174 (=> @t728 @t172)))) % 0.50/0.71 (step @p967 :rule trans :premises (@p966 @p964)) % 0.50/0.71 (step @p968 :rule alpha_equiv :args (@t319 @t559 @t713)) % 0.50/0.71 (step @p969 :rule refl :args (@t321)) % 0.50/0.71 (step @p970 :rule ho_cong :premises (@p969 @p968)) % 0.50/0.71 (step @p971 :rule ho_cong :premises (@p289 @p970)) % 0.50/0.71 (step @p972 :rule cong :premises (@p971 @p343) :args (@t731)) % 0.50/0.71 (step @p973 :rule cong :premises (@p972) :args ((forall @t174 @t731))) % 0.50/0.71 (step @p974 :rule trans :premises (@p973 @p967)) % 0.50/0.71 (step @p975 :rule beta-reduce :args ((= @t732 @t322))) % 0.50/0.71 (step @p976 :rule refl :args (@t5)) % 0.50/0.71 (step @p977 :rule ho_cong :premises (@p976 @p975)) % 0.50/0.71 (step @p978 :rule cong :premises (@p977 @p363) :args (@t733)) % 0.50/0.71 (step @p979 :rule cong :premises (@p978) :args (@t734)) % 0.50/0.71 (step @p980 :rule trans :premises (@p979 @p974)) % 0.50/0.71 (step @p981 :rule refl :args (tptp.prop2setE)) % 0.50/0.71 (step @p982 :rule cong :premises (@p981 @p980) :args ((= tptp.prop2setE @t734))) % 0.50/0.71 (step @p983 :rule ho_cong :premises (@p47 @p363)) % 0.50/0.71 (step @p984 :rule ho_cong :premises (@p976 @p983)) % 0.50/0.71 (step @p985 :rule cong :premises (@p984 @p363) :args (@t173)) % 0.50/0.71 (step @p986 :rule cong :premises (@p985) :args (@t175)) % 0.50/0.71 (step @p987 :rule cong :premises (@p981 @p986) :args (@t176)) % 0.50/0.71 (step @p988 :rule trans :premises (@p987 @p982)) % 0.50/0.71 (step @p989 :rule eq_resolve :premises (@p17 @p988)) % 0.50/0.71 (step @p990 :rule cong :premises (@p989 @p907) :args (@t735)) % 0.50/0.71 (step @p991 :rule bool-eq-true :args (tptp.exuE1)) % 0.50/0.71 (step @p992 :rule symm :premises (@p991)) % 0.50/0.71 (step @p993 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 0.50/0.71 (step @p994 :rule bool-or-taut :args (false @t563 false false)) % 0.50/0.71 (step @p995 :rule refl :args (@t564)) % 0.50/0.71 (step @p996 :rule nary_cong :premises (@p200 @p995) :args ((or @t565 @t564))) % 0.50/0.71 (step @p997 :rule bool-impl-elim :args (@t564 @t564)) % 0.50/0.71 (step @p998 :rule trans :premises (@p997 @p996)) % 0.50/0.71 (step @p999 :rule trans :premises (@p998 @p994)) % 0.50/0.71 (step @p1000 :rule cong :premises (@p999) :args ((forall @t150 (=> @t564 @t564)))) % 0.50/0.71 (step @p1001 :rule trans :premises (@p1000 @p993)) % 0.50/0.71 (step @p1002 :rule cong :premises (@p251 @p271) :args (@t736)) % 0.50/0.71 (step @p1003 :rule cong :premises (@p1002) :args (@t737)) % 0.50/0.71 (step @p1004 :rule trans :premises (@p1003 @p1001)) % 0.50/0.71 (step @p1005 :rule refl :args (tptp.exuE1)) % 0.50/0.71 (step @p1006 :rule cong :premises (@p1005 @p1004) :args ((= tptp.exuE1 @t737))) % 0.50/0.71 (step @p1007 :rule trans :premises (@p1006 @p991)) % 0.50/0.71 (step @p1008 :rule refl :args (@t168)) % 0.50/0.71 (step @p1009 :rule cong :premises (@p274 @p1008) :args (@t169)) % 0.50/0.71 (step @p1010 :rule cong :premises (@p1009) :args (@t170)) % 0.50/0.71 (step @p1011 :rule cong :premises (@p1005 @p1010) :args (@t171)) % 0.50/0.71 (step @p1012 :rule trans :premises (@p1011 @p1007)) % 0.50/0.71 (step @p1013 :rule eq_resolve :premises (@p16 @p1012)) % 0.50/0.71 (step @p1014 :rule eq_resolve :premises (@p1013 @p992)) % 0.50/0.71 (step @p1015 :rule cong :premises (@p1014 @p990) :args (@t738)) % 0.50/0.71 (step @p1016 :rule cong :premises (@p760) :args (@t739)) % 0.50/0.71 (step @p1017 :rule nary_cong :premises (@p1016 @p761) :args (@t740)) % 0.50/0.71 (step @p1018 :rule cong :premises (@p1017) :args ((forall @t159 @t740))) % 0.50/0.71 (step @p1019 :rule cong :premises (@p774) :args (@t741)) % 0.50/0.71 (step @p1020 :rule nary_cong :premises (@p1019 @p230) :args (@t742)) % 0.50/0.71 (step @p1021 :rule cong :premises (@p1020) :args ((forall @t159 @t742))) % 0.50/0.71 (step @p1022 :rule trans :premises (@p1021 @p1018)) % 0.50/0.71 (step @p1023 :rule bool-impl-elim :args (@t157 @t144)) % 0.50/0.71 (step @p1024 :rule cong :premises (@p1023) :args (@t164)) % 0.50/0.71 (step @p1025 :rule trans :premises (@p1024 @p1022)) % 0.50/0.71 (step @p1026 :rule refl :args (tptp.dsetconstrER)) % 0.50/0.71 (step @p1027 :rule cong :premises (@p1026 @p1025) :args (@t165)) % 0.50/0.71 (step @p1028 :rule eq_resolve :premises (@p15 @p1027)) % 0.50/0.71 (step @p1029 :rule cong :premises (@p1028 @p1015) :args (@t743)) % 0.50/0.71 (step @p1030 :rule refl :args (@t328)) % 0.50/0.71 (step @p1031 :rule nary_cong :premises (@p1016 @p1030) :args (@t744)) % 0.50/0.71 (step @p1032 :rule cong :premises (@p1031) :args ((forall @t159 @t744))) % 0.50/0.71 (step @p1033 :rule nary_cong :premises (@p1019 @p155) :args (@t745)) % 0.50/0.71 (step @p1034 :rule cong :premises (@p1033) :args ((forall @t159 @t745))) % 0.50/0.71 (step @p1035 :rule trans :premises (@p1034 @p1032)) % 0.50/0.71 (step @p1036 :rule bool-impl-elim :args (@t157 @t7)) % 0.50/0.71 (step @p1037 :rule cong :premises (@p1036) :args (@t162)) % 0.50/0.71 (step @p1038 :rule trans :premises (@p1037 @p1035)) % 0.50/0.71 (step @p1039 :rule refl :args (tptp.dsetconstrEL)) % 0.50/0.71 (step @p1040 :rule cong :premises (@p1039 @p1038) :args (@t163)) % 0.50/0.71 (step @p1041 :rule eq_resolve :premises (@p14 @p1040)) % 0.50/0.71 (step @p1042 :rule cong :premises (@p1041 @p1029) :args (@t746)) % 0.50/0.71 (step @p1043 :rule nary_cong :premises (@p699 @p698 @p760) :args (@t747)) % 0.50/0.71 (step @p1044 :rule cong :premises (@p1043) :args ((forall @t159 @t747))) % 0.50/0.71 (step @p1045 :rule nary_cong :premises (@p156 @p231 @p774) :args (@t748)) % 0.50/0.71 (step @p1046 :rule cong :premises (@p1045) :args ((forall @t159 @t748))) % 0.50/0.71 (step @p1047 :rule trans :premises (@p1046 @p1044)) % 0.50/0.71 (step @p1048 :rule aci_norm :args ((= (or @t194 (or @t567 @t157)) @t748))) % 0.50/0.71 (step @p1049 :rule bool-impl-elim :args (@t144 @t157)) % 0.50/0.71 (step @p1050 :rule nary_cong :premises (@p721 @p1049) :args ((or @t194 @t158))) % 0.50/0.71 (step @p1051 :rule trans :premises (@p1050 @p1048)) % 0.50/0.71 (step @p1052 :rule bool-impl-elim :args (@t7 @t158)) % 0.50/0.71 (step @p1053 :rule trans :premises (@p1052 @p1051)) % 0.50/0.71 (step @p1054 :rule cong :premises (@p1053) :args (@t160)) % 0.50/0.71 (step @p1055 :rule trans :premises (@p1054 @p1047)) % 0.50/0.71 (step @p1056 :rule refl :args (tptp.dsetconstrI)) % 0.50/0.71 (step @p1057 :rule cong :premises (@p1056 @p1055) :args (@t161)) % 0.50/0.71 (step @p1058 :rule eq_resolve :premises (@p13 @p1057)) % 0.50/0.71 (step @p1059 :rule cong :premises (@p1058 @p1042) :args (@t749)) % 0.50/0.71 (step @p1060 :rule eq-symm :args (@t417 @t19)) % 0.50/0.71 (step @p1061 :rule nary_cong :premises (@p180 @p1060) :args (@t750)) % 0.50/0.71 (step @p1062 :rule cong :premises (@p1061) :args (@t751)) % 0.50/0.71 (step @p1063 :rule cong :premises (@p1062) :args (@t752)) % 0.50/0.71 (step @p1064 :rule refl :args (@t418)) % 0.50/0.71 (step @p1065 :rule refl :args (@t419)) % 0.50/0.71 (step @p1066 :rule nary_cong :premises (@p1065 @p1064 @p1063) :args (@t753)) % 0.50/0.71 (step @p1067 :rule aci_norm :args ((= @t755 @t753))) % 0.50/0.71 (step @p1068 :rule trans :premises (@p1067 @p1066)) % 0.50/0.71 (step @p1069 :rule cong :premises (@p1068) :args (@t756)) % 0.50/0.71 (step @p1070 :rule quant-merge-prenex :args ((= (forall @t150 @t758) @t756))) % 0.50/0.71 (step @p1071 :rule refl :args (@t419)) % 0.50/0.71 (step @p1072 :rule alpha_equiv :args (@t759 (@list @t417) @t559)) % 0.50/0.71 (step @p1073 :rule nary_cong :premises (@p1072 @p1071) :args (@t760)) % 0.50/0.71 (step @p1074 :rule quant-miniscope-or :args ((= @t758 @t760))) % 0.50/0.71 (step @p1075 :rule trans :premises (@p1074 @p1073)) % 0.50/0.71 (step @p1076 :rule symm :premises (@p1075)) % 0.50/0.71 (step @p1077 :rule cong :premises (@p1076) :args ((forall @t150 (or @t563 @t419)))) % 0.50/0.71 (step @p1078 :rule trans :premises (@p1077 @p1070)) % 0.50/0.71 (step @p1079 :rule trans :premises (@p1078 @p1069)) % 0.50/0.71 (step @p1080 :rule lambda-elim :args ((= @t761 @t143))) % 0.50/0.71 (step @p1081 :rule cong :premises (@p1080) :args (@t762)) % 0.50/0.71 (step @p1082 :rule cong :premises (@p1081) :args (@t763)) % 0.50/0.71 (step @p1083 :rule refl :args (@t563)) % 0.50/0.71 (step @p1084 :rule nary_cong :premises (@p1083 @p1082) :args (@t764)) % 0.50/0.71 (step @p1085 :rule cong :premises (@p1084) :args ((forall @t150 @t764))) % 0.50/0.71 (step @p1086 :rule trans :premises (@p1085 @p1079)) % 0.50/0.71 (step @p1087 :rule refl :args ((_ @t143 @t146))) % 0.50/0.71 (step @p1088 :rule refl :args ((tptp.descr @t145))) % 0.50/0.71 (step @p1089 :rule cong :premises (@p226) :args (@t761)) % 0.50/0.71 (step @p1090 :rule cong :premises (@p1089) :args (@t762)) % 0.50/0.71 (step @p1091 :rule trans :premises (@p1090 @p1088)) % 0.50/0.71 (step @p1092 :rule cong :premises (@p1091) :args (@t763)) % 0.50/0.71 (step @p1093 :rule trans :premises (@p1092 @p1087)) % 0.50/0.71 (step @p1094 :rule refl :args (@t143)) % 0.50/0.71 (step @p1095 :rule ho_cong :premises (@p1094 @p1091)) % 0.50/0.71 (step @p1096 :rule cong :premises (@p1095 @p1093) :args ((= (_ @t143 @t762) @t763))) % 0.50/0.71 (step @p1097 :rule symm :premises (@p1096)) % 0.50/0.71 (step @p1098 :rule refl :args (@t147)) % 0.50/0.71 (step @p1099 :rule eq_resolve :premises (@p1098 @p1097)) % 0.50/0.71 (step @p1100 :rule refl :args (tptp.descr)) % 0.50/0.71 (step @p1101 :rule ho_cong :premises (@p1100 @p1089)) % 0.50/0.71 (step @p1102 :rule cong :premises (@p1101 @p1091) :args ((= (_ tptp.descr @t761) @t762))) % 0.50/0.71 (step @p1103 :rule symm :premises (@p1102)) % 0.50/0.71 (step @p1104 :rule refl :args (@t146)) % 0.50/0.71 (step @p1105 :rule eq_resolve :premises (@p1104 @p1103)) % 0.50/0.71 (step @p1106 :rule cong :premises (@p230) :args (@t145)) % 0.50/0.71 (step @p1107 :rule ho_cong :premises (@p1100 @p1106)) % 0.50/0.71 (step @p1108 :rule trans :premises (@p1107 @p1105)) % 0.50/0.71 (step @p1109 :rule ho_cong :premises (@p1094 @p1108)) % 0.50/0.71 (step @p1110 :rule trans :premises (@p1109 @p1099)) % 0.50/0.71 (step @p1111 :rule refl :args (@t563)) % 0.50/0.71 (step @p1112 :rule nary_cong :premises (@p1111 @p1110) :args (@t765)) % 0.50/0.71 (step @p1113 :rule cong :premises (@p1112) :args ((forall @t150 @t765))) % 0.50/0.71 (step @p1114 :rule trans :premises (@p1113 @p1086)) % 0.50/0.71 (step @p1115 :rule nary_cong :premises (@p200 @p1098) :args ((or @t565 @t147))) % 0.50/0.71 (step @p1116 :rule bool-impl-elim :args (@t564 @t147)) % 0.50/0.71 (step @p1117 :rule trans :premises (@p1116 @p1115)) % 0.50/0.71 (step @p1118 :rule cong :premises (@p1117) :args ((forall @t150 (=> @t564 @t147)))) % 0.50/0.71 (step @p1119 :rule trans :premises (@p1118 @p1114)) % 0.50/0.71 (step @p1120 :rule refl :args (@t147)) % 0.50/0.71 (step @p1121 :rule cong :premises (@p251 @p1120) :args (@t766)) % 0.50/0.71 (step @p1122 :rule cong :premises (@p1121) :args (@t767)) % 0.50/0.71 (step @p1123 :rule trans :premises (@p1122 @p1119)) % 0.50/0.71 (step @p1124 :rule refl :args (tptp.descrp)) % 0.50/0.71 (step @p1125 :rule cong :premises (@p1124 @p1123) :args ((= tptp.descrp @t767))) % 0.50/0.71 (step @p1126 :rule cong :premises (@p274 @p1120) :args (@t149)) % 0.50/0.71 (step @p1127 :rule cong :premises (@p1126) :args (@t151)) % 0.50/0.71 (step @p1128 :rule cong :premises (@p1124 @p1127) :args (@t152)) % 0.50/0.71 (step @p1129 :rule trans :premises (@p1128 @p1125)) % 0.50/0.71 (step @p1130 :rule eq_resolve :premises (@p12 @p1129)) % 0.50/0.71 (step @p1131 :rule cong :premises (@p1130 @p1059) :args (@t768)) % 0.50/0.71 (step @p1132 :rule aci_norm :args ((= (or @t471 (or @t464 (or @t460 @t448))) @t472))) % 0.50/0.71 (step @p1133 :rule bool-and-de-morgan :args (@t459 @t447 true)) % 0.50/0.71 (step @p1134 :rule refl :args (@t464)) % 0.50/0.71 (step @p1135 :rule nary_cong :premises (@p1134 @p1133) :args ((or @t464 (not (and @t459 @t447))))) % 0.50/0.71 (step @p1136 :rule bool-and-de-morgan :args (@t463 @t459 (and @t447))) % 0.50/0.71 (step @p1137 :rule trans :premises (@p1136 @p1135)) % 0.50/0.71 (step @p1138 :rule refl :args (@t471)) % 0.50/0.71 (step @p1139 :rule nary_cong :premises (@p1138 @p1137) :args ((or @t471 (not (and @t463 @t459 @t447))))) % 0.50/0.71 (step @p1140 :rule bool-and-de-morgan :args (@t470 @t463 (and @t459 @t447))) % 0.50/0.71 (step @p1141 :rule trans :premises (@p1140 @p1139)) % 0.50/0.71 (step @p1142 :rule trans :premises (@p1141 @p1132)) % 0.50/0.71 (step @p1143 :rule cong :premises (@p1142) :args (@t770)) % 0.50/0.71 (step @p1144 :rule cong :premises (@p1143) :args (@t771)) % 0.50/0.71 (step @p1145 :rule exists-elim :args ((= (exists @t41 @t769) @t771))) % 0.50/0.71 (step @p1146 :rule trans :premises (@p1145 @p1144)) % 0.50/0.71 (step @p1147 :rule quant-merge-prenex :args ((= (forall @t118 @t773) @t447))) % 0.50/0.71 (step @p1148 :rule refl :args (@t441)) % 0.50/0.71 (step @p1149 :rule alpha_equiv :args (@t774 (@list @t442) @t559)) % 0.50/0.71 (step @p1150 :rule refl :args (@t445)) % 0.50/0.71 (step @p1151 :rule nary_cong :premises (@p1150 @p1149 @p1148) :args (@t775)) % 0.50/0.71 (step @p1152 :rule quant-miniscope-or :args ((= @t773 @t775))) % 0.50/0.71 (step @p1153 :rule trans :premises (@p1152 @p1151)) % 0.50/0.71 (step @p1154 :rule symm :premises (@p1153)) % 0.50/0.71 (step @p1155 :rule cong :premises (@p1154) :args ((forall @t118 @t777))) % 0.50/0.71 (step @p1156 :rule trans :premises (@p1155 @p1147)) % 0.50/0.71 (step @p1157 :rule aci_norm :args ((= (or (or @t445 @t776) @t441) @t777))) % 0.50/0.71 (step @p1158 :rule bool-double-not-elim :args (@t776)) % 0.50/0.71 (step @p1159 :rule nary_cong :premises (@p1150 @p1158) :args ((or @t445 (not @t778)))) % 0.50/0.71 (step @p1160 :rule bool-and-de-morgan :args (@t444 @t778 true)) % 0.50/0.71 (step @p1161 :rule trans :premises (@p1160 @p1159)) % 0.50/0.71 (step @p1162 :rule nary_cong :premises (@p1161 @p1148) :args ((or (not @t779) @t441))) % 0.50/0.71 (step @p1163 :rule trans :premises (@p1162 @p1157)) % 0.50/0.71 (step @p1164 :rule bool-impl-elim :args (@t779 @t441)) % 0.50/0.71 (step @p1165 :rule trans :premises (@p1164 @p1163)) % 0.50/0.71 (step @p1166 :rule cong :premises (@p1165) :args ((forall @t118 (=> @t779 @t441)))) % 0.50/0.71 (step @p1167 :rule trans :premises (@p1166 @p1156)) % 0.50/0.71 (step @p1168 :rule refl :args (@t432)) % 0.50/0.71 (step @p1169 :rule refl :args (@t436)) % 0.50/0.71 (step @p1170 :rule refl :args (@t437)) % 0.50/0.71 (step @p1171 :rule refl :args (@t109)) % 0.50/0.71 (step @p1172 :rule cong :premises (@p1171 @p1170) :args ((= @t109 @t437))) % 0.50/0.71 (step @p1173 :rule symm :premises (@p1172)) % 0.50/0.71 (step @p1174 :rule eq_resolve :premises (@p1171 @p1173)) % 0.50/0.71 (step @p1175 :rule cong :premises (@p1174) :args (@t780)) % 0.50/0.71 (step @p1176 :rule refl :args (@t439)) % 0.50/0.71 (step @p1177 :rule refl :args (@t110)) % 0.50/0.71 (step @p1178 :rule cong :premises (@p1177 @p1176) :args ((= @t110 @t439))) % 0.50/0.71 (step @p1179 :rule symm :premises (@p1178)) % 0.50/0.71 (step @p1180 :rule eq_resolve :premises (@p1177 @p1179)) % 0.50/0.71 (step @p1181 :rule cong :premises (@p1180) :args (@t781)) % 0.50/0.71 (step @p1182 :rule nary_cong :premises (@p1181 @p1175 @p1169 @p1168) :args (@t782)) % 0.50/0.71 (step @p1183 :rule cong :premises (@p1182) :args ((forall @t112 @t782))) % 0.50/0.71 (step @p1184 :rule aci_norm :args ((= (or @t781 (or @t780 (or @t436 @t432))) @t782))) % 0.50/0.71 (step @p1185 :rule bool-and-de-morgan :args (@t435 @t431 true)) % 0.50/0.71 (step @p1186 :rule refl :args (@t780)) % 0.50/0.71 (step @p1187 :rule nary_cong :premises (@p1186 @p1185) :args ((or @t780 (not (and @t435 @t431))))) % 0.50/0.71 (step @p1188 :rule bool-and-de-morgan :args (@t109 @t435 (and @t431))) % 0.50/0.71 (step @p1189 :rule trans :premises (@p1188 @p1187)) % 0.50/0.71 (step @p1190 :rule refl :args (@t781)) % 0.50/0.71 (step @p1191 :rule nary_cong :premises (@p1190 @p1189) :args ((or @t781 (not (and @t109 @t435 @t431))))) % 0.50/0.71 (step @p1192 :rule bool-and-de-morgan :args (@t110 @t109 (and @t435 @t431))) % 0.50/0.71 (step @p1193 :rule trans :premises (@p1192 @p1191)) % 0.50/0.71 (step @p1194 :rule trans :premises (@p1193 @p1184)) % 0.50/0.71 (step @p1195 :rule cong :premises (@p1194) :args (@t784)) % 0.50/0.71 (step @p1196 :rule trans :premises (@p1195 @p1183)) % 0.50/0.71 (step @p1197 :rule cong :premises (@p1196) :args (@t785)) % 0.50/0.71 (step @p1198 :rule exists-elim :args ((= (exists @t112 @t783) @t785))) % 0.50/0.71 (step @p1199 :rule trans :premises (@p1198 @p1197)) % 0.50/0.71 (step @p1200 :rule aci_norm :args ((= @t787 @t429))) % 0.50/0.71 (step @p1201 :rule cong :premises (@p1200) :args (@t788)) % 0.50/0.71 (step @p1202 :rule quant-merge-prenex :args ((= (forall @t102 @t790) @t788))) % 0.50/0.71 (step @p1203 :rule refl :args (@t426)) % 0.50/0.71 (step @p1204 :rule alpha_equiv :args (@t791 (@list @t423) (@list @t19))) % 0.50/0.71 (step @p1205 :rule refl :args (@t428)) % 0.50/0.71 (step @p1206 :rule nary_cong :premises (@p1205 @p1204 @p1203) :args (@t792)) % 0.50/0.71 (step @p1207 :rule quant-miniscope-or :args ((= @t790 @t792))) % 0.50/0.71 (step @p1208 :rule trans :premises (@p1207 @p1206)) % 0.50/0.71 (step @p1209 :rule symm :premises (@p1208)) % 0.50/0.71 (step @p1210 :rule cong :premises (@p1209) :args ((forall @t102 (or @t428 @t794 @t426)))) % 0.50/0.71 (step @p1211 :rule trans :premises (@p1210 @p1202)) % 0.50/0.71 (step @p1212 :rule trans :premises (@p1211 @p1201)) % 0.50/0.71 (step @p1213 :rule refl :args (@t426)) % 0.50/0.71 (step @p1214 :rule refl :args (@t94)) % 0.50/0.71 (step @p1215 :rule cong :premises (@p1214 @p1213) :args ((= @t94 @t426))) % 0.50/0.71 (step @p1216 :rule symm :premises (@p1215)) % 0.50/0.71 (step @p1217 :rule eq_resolve :premises (@p1214 @p1216)) % 0.50/0.71 (step @p1218 :rule refl :args (@t794)) % 0.50/0.71 (step @p1219 :rule refl :args (@t427)) % 0.50/0.71 (step @p1220 :rule refl :args (@t100)) % 0.50/0.71 (step @p1221 :rule cong :premises (@p1220 @p1219) :args ((= @t100 @t427))) % 0.50/0.71 (step @p1222 :rule symm :premises (@p1221)) % 0.50/0.71 (step @p1223 :rule eq_resolve :premises (@p1220 @p1222)) % 0.50/0.71 (step @p1224 :rule cong :premises (@p1223) :args (@t795)) % 0.50/0.71 (step @p1225 :rule nary_cong :premises (@p1224 @p1218 @p1217) :args (@t796)) % 0.50/0.71 (step @p1226 :rule cong :premises (@p1225) :args ((forall @t102 @t796))) % 0.50/0.71 (step @p1227 :rule trans :premises (@p1226 @p1212)) % 0.50/0.71 (step @p1228 :rule aci_norm :args ((= (or @t795 @t797) @t796))) % 0.50/0.71 (step @p1229 :rule bool-impl-elim :args (@t100 @t797)) % 0.50/0.71 (step @p1230 :rule trans :premises (@p1229 @p1228)) % 0.50/0.71 (step @p1231 :rule cong :premises (@p1230) :args ((forall @t102 (=> @t100 @t797)))) % 0.50/0.71 (step @p1232 :rule trans :premises (@p1231 @p1227)) % 0.50/0.71 (step @p1233 :rule refl :args (@t94)) % 0.50/0.71 (step @p1234 :rule refl :args (@t434)) % 0.50/0.71 (step @p1235 :rule refl :args (@t96)) % 0.50/0.71 (step @p1236 :rule cong :premises (@p1235 @p1234) :args ((= @t96 @t434))) % 0.50/0.71 (step @p1237 :rule symm :premises (@p1236)) % 0.50/0.71 (step @p1238 :rule eq_resolve :premises (@p1235 @p1237)) % 0.50/0.71 (step @p1239 :rule refl :args (@t793)) % 0.50/0.71 (step @p1240 :rule refl :args (@t97)) % 0.50/0.71 (step @p1241 :rule cong :premises (@p1240 @p1239) :args ((= @t97 @t793))) % 0.50/0.71 (step @p1242 :rule symm :premises (@p1241)) % 0.50/0.71 (step @p1243 :rule eq_resolve :premises (@p1240 @p1242)) % 0.50/0.71 (step @p1244 :rule cong :premises (@p1243) :args (@t798)) % 0.50/0.71 (step @p1245 :rule nary_cong :premises (@p1244 @p1238) :args (@t799)) % 0.50/0.71 (step @p1246 :rule cong :premises (@p1245) :args ((forall @t70 @t799))) % 0.50/0.71 (step @p1247 :rule bool-impl-elim :args (@t97 @t96)) % 0.50/0.71 (step @p1248 :rule cong :premises (@p1247) :args (@t98)) % 0.50/0.71 (step @p1249 :rule trans :premises (@p1248 @p1246)) % 0.50/0.71 (step @p1250 :rule nary_cong :premises (@p1249 @p1233) :args (@t99)) % 0.50/0.71 (step @p1251 :rule refl :args (@t100)) % 0.50/0.71 (step @p1252 :rule cong :premises (@p1251 @p1250) :args (@t101)) % 0.50/0.71 (step @p1253 :rule cong :premises (@p1252) :args (@t103)) % 0.50/0.71 (step @p1254 :rule trans :premises (@p1253 @p1232)) % 0.50/0.71 (step @p1255 :rule bool-double-not-elim :args (@t435)) % 0.50/0.71 (step @p1256 :rule refl :args (@t433)) % 0.50/0.71 (step @p1257 :rule refl :args (@t105)) % 0.50/0.71 (step @p1258 :rule cong :premises (@p1257 @p1256) :args ((= @t105 @t433))) % 0.50/0.71 (step @p1259 :rule symm :premises (@p1258)) % 0.50/0.71 (step @p1260 :rule eq_resolve :premises (@p1257 @p1259)) % 0.50/0.71 (step @p1261 :rule cong :premises (@p1260) :args (@t800)) % 0.50/0.71 (step @p1262 :rule cong :premises (@p1238) :args (@t801)) % 0.50/0.71 (step @p1263 :rule nary_cong :premises (@p1262 @p1261) :args (@t802)) % 0.50/0.71 (step @p1264 :rule cong :premises (@p1263) :args ((forall @t70 @t802))) % 0.50/0.71 (step @p1265 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 0.50/0.71 (step @p1266 :rule cong :premises (@p1265) :args (@t803)) % 0.50/0.71 (step @p1267 :rule trans :premises (@p1266 @p1264)) % 0.50/0.71 (step @p1268 :rule cong :premises (@p1267) :args (@t804)) % 0.50/0.71 (step @p1269 :rule exists-elim :args ((= @t107 @t804))) % 0.50/0.71 (step @p1270 :rule trans :premises (@p1269 @p1268)) % 0.50/0.71 (step @p1271 :rule cong :premises (@p1270) :args (@t108)) % 0.50/0.71 (step @p1272 :rule trans :premises (@p1271 @p1255)) % 0.50/0.71 (step @p1273 :rule refl :args (@t109)) % 0.50/0.71 (step @p1274 :rule refl :args (@t110)) % 0.50/0.71 (step @p1275 :rule nary_cong :premises (@p1274 @p1273 @p1272 @p1254) :args (@t111)) % 0.50/0.71 (step @p1276 :rule cong :premises (@p1275) :args (@t113)) % 0.50/0.71 (step @p1277 :rule trans :premises (@p1276 @p1199)) % 0.50/0.71 (step @p1278 :rule cong :premises (@p1175) :args (@t805)) % 0.50/0.71 (step @p1279 :rule cong :premises (@p1278) :args (@t806)) % 0.50/0.71 (step @p1280 :rule exists-elim :args ((= @t114 @t806))) % 0.50/0.71 (step @p1281 :rule trans :premises (@p1280 @p1279)) % 0.50/0.71 (step @p1282 :rule nary_cong :premises (@p1175 @p155) :args (@t807)) % 0.50/0.71 (step @p1283 :rule cong :premises (@p1282) :args ((forall @t9 @t807))) % 0.50/0.71 (step @p1284 :rule bool-impl-elim :args (@t109 @t7)) % 0.50/0.71 (step @p1285 :rule cong :premises (@p1284) :args (@t115)) % 0.50/0.71 (step @p1286 :rule trans :premises (@p1285 @p1283)) % 0.50/0.71 (step @p1287 :rule nary_cong :premises (@p1286 @p1281) :args (@t116)) % 0.50/0.71 (step @p1288 :rule cong :premises (@p1287 @p1277) :args (@t117)) % 0.50/0.71 (step @p1289 :rule cong :premises (@p1288) :args (@t119)) % 0.50/0.71 (step @p1290 :rule trans :premises (@p1289 @p1167)) % 0.50/0.71 (step @p1291 :rule aci_norm :args ((= @t810 @t457))) % 0.50/0.71 (step @p1292 :rule cong :premises (@p1291) :args (@t811)) % 0.50/0.71 (step @p1293 :rule quant-merge-prenex :args ((= (forall @t127 @t812) @t811))) % 0.50/0.71 (step @p1294 :rule alpha_equiv :args (@t813 (@list @t449) @t559)) % 0.50/0.71 (step @p1295 :rule alpha_equiv :args (@t814 (@list @t452) @t559)) % 0.50/0.71 (step @p1296 :rule refl :args (@t440)) % 0.50/0.71 (step @p1297 :rule refl :args (@t456)) % 0.50/0.71 (step @p1298 :rule nary_cong :premises (@p1297 @p1296 @p1295 @p1294) :args (@t815)) % 0.50/0.71 (step @p1299 :rule quant-miniscope-or :args ((= @t812 @t815))) % 0.50/0.71 (step @p1300 :rule trans :premises (@p1299 @p1298)) % 0.50/0.71 (step @p1301 :rule symm :premises (@p1300)) % 0.50/0.71 (step @p1302 :rule cong :premises (@p1301) :args ((forall @t127 (or @t456 @t440 @t818 @t817)))) % 0.50/0.71 (step @p1303 :rule trans :premises (@p1302 @p1293)) % 0.50/0.71 (step @p1304 :rule trans :premises (@p1303 @p1292)) % 0.50/0.71 (step @p1305 :rule refl :args (@t817)) % 0.50/0.71 (step @p1306 :rule refl :args (@t818)) % 0.50/0.71 (step @p1307 :rule refl :args (@t455)) % 0.50/0.71 (step @p1308 :rule refl :args (@t124)) % 0.50/0.71 (step @p1309 :rule cong :premises (@p1308 @p1307) :args ((= @t124 @t455))) % 0.50/0.71 (step @p1310 :rule symm :premises (@p1309)) % 0.50/0.71 (step @p1311 :rule eq_resolve :premises (@p1308 @p1310)) % 0.50/0.71 (step @p1312 :rule cong :premises (@p1311) :args (@t819)) % 0.50/0.71 (step @p1313 :rule nary_cong :premises (@p1312 @p1181 @p1306 @p1305) :args (@t820)) % 0.50/0.71 (step @p1314 :rule cong :premises (@p1313) :args ((forall @t127 @t820))) % 0.50/0.71 (step @p1315 :rule trans :premises (@p1314 @p1304)) % 0.50/0.71 (step @p1316 :rule aci_norm :args ((= (or (or @t819 @t781) @t821) @t820))) % 0.50/0.71 (step @p1317 :rule refl :args (@t821)) % 0.50/0.71 (step @p1318 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 0.50/0.71 (step @p1319 :rule nary_cong :premises (@p1318 @p1317) :args ((or (not @t125) @t821))) % 0.50/0.71 (step @p1320 :rule trans :premises (@p1319 @p1316)) % 0.50/0.71 (step @p1321 :rule bool-impl-elim :args (@t125 @t821)) % 0.50/0.71 (step @p1322 :rule trans :premises (@p1321 @p1320)) % 0.50/0.71 (step @p1323 :rule cong :premises (@p1322) :args ((forall @t127 (=> @t125 @t821)))) % 0.50/0.71 (step @p1324 :rule trans :premises (@p1323 @p1315)) % 0.50/0.71 (step @p1325 :rule refl :args (@t816)) % 0.50/0.71 (step @p1326 :rule refl :args (@t120)) % 0.50/0.71 (step @p1327 :rule cong :premises (@p1326 @p1325) :args ((= @t120 @t816))) % 0.50/0.71 (step @p1328 :rule symm :premises (@p1327)) % 0.50/0.71 (step @p1329 :rule eq_resolve :premises (@p1326 @p1328)) % 0.50/0.71 (step @p1330 :rule cong :premises (@p1329) :args (@t822)) % 0.50/0.71 (step @p1331 :rule nary_cong :premises (@p1330 @p1174) :args (@t823)) % 0.50/0.71 (step @p1332 :rule cong :premises (@p1331) :args ((forall @t9 @t823))) % 0.50/0.71 (step @p1333 :rule bool-impl-elim :args (@t120 @t109)) % 0.50/0.71 (step @p1334 :rule cong :premises (@p1333) :args (@t121)) % 0.50/0.71 (step @p1335 :rule trans :premises (@p1334 @p1332)) % 0.50/0.71 (step @p1336 :rule nary_cong :premises (@p1175 @p1329) :args (@t824)) % 0.50/0.71 (step @p1337 :rule cong :premises (@p1336) :args ((forall @t9 @t824))) % 0.50/0.71 (step @p1338 :rule bool-impl-elim :args (@t109 @t120)) % 0.50/0.71 (step @p1339 :rule cong :premises (@p1338) :args (@t122)) % 0.50/0.71 (step @p1340 :rule trans :premises (@p1339 @p1337)) % 0.50/0.71 (step @p1341 :rule nary_cong :premises (@p1340 @p1335) :args (@t123)) % 0.50/0.71 (step @p1342 :rule refl :args (@t125)) % 0.50/0.71 (step @p1343 :rule cong :premises (@p1342 @p1341) :args (@t126)) % 0.50/0.71 (step @p1344 :rule cong :premises (@p1343) :args (@t128)) % 0.50/0.71 (step @p1345 :rule trans :premises (@p1344 @p1324)) % 0.50/0.71 (step @p1346 :rule refl :args (@t462)) % 0.50/0.71 (step @p1347 :rule nary_cong :premises (@p156 @p615 @p1346 @p209) :args (@t825)) % 0.50/0.71 (step @p1348 :rule cong :premises (@p1347) :args ((forall @t135 @t825))) % 0.50/0.71 (step @p1349 :rule aci_norm :args ((= (or (or @t194 @t640) (or @t462 @t129)) @t825))) % 0.50/0.71 (step @p1350 :rule bool-impl-elim :args (@t461 @t129)) % 0.50/0.71 (step @p1351 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 0.50/0.71 (step @p1352 :rule nary_cong :premises (@p1351 @p1350) :args ((or (not @t133) @t826))) % 0.50/0.71 (step @p1353 :rule trans :premises (@p1352 @p1349)) % 0.50/0.71 (step @p1354 :rule bool-impl-elim :args (@t133 @t826)) % 0.50/0.71 (step @p1355 :rule trans :premises (@p1354 @p1353)) % 0.50/0.71 (step @p1356 :rule cong :premises (@p1355) :args ((forall @t135 (=> @t133 @t826)))) % 0.50/0.71 (step @p1357 :rule trans :premises (@p1356 @p1348)) % 0.50/0.71 (step @p1358 :rule cong :premises (@p1174 @p1260) :args (@t130)) % 0.50/0.71 (step @p1359 :rule nary_cong :premises (@p1312 @p1358) :args (@t827)) % 0.50/0.71 (step @p1360 :rule cong :premises (@p1359) :args ((forall @t118 @t827))) % 0.50/0.71 (step @p1361 :rule bool-impl-elim :args (@t124 @t130)) % 0.50/0.71 (step @p1362 :rule cong :premises (@p1361) :args (@t131)) % 0.50/0.71 (step @p1363 :rule trans :premises (@p1362 @p1360)) % 0.50/0.71 (step @p1364 :rule cong :premises (@p1363 @p237) :args (@t132)) % 0.50/0.71 (step @p1365 :rule refl :args (@t133)) % 0.50/0.71 (step @p1366 :rule cong :premises (@p1365 @p1364) :args (@t134)) % 0.50/0.71 (step @p1367 :rule cong :premises (@p1366) :args (@t136)) % 0.50/0.71 (step @p1368 :rule trans :premises (@p1367 @p1357)) % 0.50/0.71 (step @p1369 :rule aci_norm :args ((= @t829 @t468))) % 0.50/0.71 (step @p1370 :rule cong :premises (@p1369) :args (@t830)) % 0.50/0.71 (step @p1371 :rule quant-merge-prenex :args ((= (forall @t118 @t832) @t830))) % 0.50/0.71 (step @p1372 :rule alpha_equiv :args (@t833 (@list @t465) @t559)) % 0.50/0.71 (step @p1373 :rule nary_cong :premises (@p1297 @p1372) :args (@t834)) % 0.50/0.71 (step @p1374 :rule quant-miniscope-or :args ((= @t832 @t834))) % 0.50/0.71 (step @p1375 :rule trans :premises (@p1374 @p1373)) % 0.50/0.71 (step @p1376 :rule symm :premises (@p1375)) % 0.50/0.71 (step @p1377 :rule cong :premises (@p1376) :args ((forall @t118 (or @t456 @t444)))) % 0.50/0.71 (step @p1378 :rule trans :premises (@p1377 @p1371)) % 0.50/0.71 (step @p1379 :rule trans :premises (@p1378 @p1370)) % 0.50/0.71 (step @p1380 :rule refl :args (@t444)) % 0.50/0.71 (step @p1381 :rule nary_cong :premises (@p1312 @p1380) :args (@t835)) % 0.50/0.71 (step @p1382 :rule cong :premises (@p1381) :args ((forall @t118 @t835))) % 0.50/0.71 (step @p1383 :rule trans :premises (@p1382 @p1379)) % 0.50/0.71 (step @p1384 :rule bool-impl-elim :args (@t124 @t444)) % 0.50/0.71 (step @p1385 :rule cong :premises (@p1384) :args ((forall @t118 (=> @t124 @t444)))) % 0.50/0.71 (step @p1386 :rule trans :premises (@p1385 @p1383)) % 0.50/0.71 (step @p1387 :rule refl :args (@t124)) % 0.50/0.71 (step @p1388 :rule cong :premises (@p1387 @p1286) :args (@t137)) % 0.50/0.71 (step @p1389 :rule cong :premises (@p1388) :args (@t138)) % 0.50/0.71 (step @p1390 :rule trans :premises (@p1389 @p1386)) % 0.50/0.71 (step @p1391 :rule nary_cong :premises (@p1390 @p1368 @p1345 @p1290) :args (@t139)) % 0.50/0.71 (step @p1392 :rule cong :premises (@p1391) :args (@t140)) % 0.50/0.71 (step @p1393 :rule trans :premises (@p1392 @p1146)) % 0.50/0.71 (step @p1394 :rule cong :premises (@p1393) :args (@t141)) % 0.50/0.71 (step @p1395 :rule refl :args (tptp.wellorderingAx)) % 0.50/0.71 (step @p1396 :rule cong :premises (@p1395 @p1394) :args (@t142)) % 0.50/0.71 (step @p1397 :rule eq_resolve :premises (@p11 @p1396)) % 0.50/0.71 (step @p1398 :rule cong :premises (@p1397 @p1131) :args (@t836)) % 0.50/0.71 (step @p1399 :rule quant-merge-prenex :args ((= (forall @t64 @t838) @t481))) % 0.50/0.71 (step @p1400 :rule refl :args (@t477)) % 0.50/0.71 (step @p1401 :rule alpha_equiv :args (@t839 (@list @t478) @t559)) % 0.50/0.71 (step @p1402 :rule nary_cong :premises (@p1401 @p1400) :args (@t840)) % 0.50/0.71 (step @p1403 :rule quant-miniscope-or :args ((= @t838 @t840))) % 0.50/0.71 (step @p1404 :rule trans :premises (@p1403 @p1402)) % 0.50/0.71 (step @p1405 :rule symm :premises (@p1404)) % 0.50/0.71 (step @p1406 :rule cong :premises (@p1405) :args ((forall @t64 (or @t330 @t477)))) % 0.50/0.71 (step @p1407 :rule trans :premises (@p1406 @p1399)) % 0.50/0.71 (step @p1408 :rule nary_cong :premises (@p675 @p1400) :args ((or @t657 @t477))) % 0.50/0.71 (step @p1409 :rule bool-impl-elim :args (@t331 @t477)) % 0.50/0.71 (step @p1410 :rule trans :premises (@p1409 @p1408)) % 0.50/0.71 (step @p1411 :rule cong :premises (@p1410) :args ((forall @t64 (=> @t331 @t477)))) % 0.50/0.71 (step @p1412 :rule trans :premises (@p1411 @p1407)) % 0.50/0.71 (step @p1413 :rule refl :args (@t476)) % 0.50/0.71 (step @p1414 :rule nary_cong :premises (@p369 @p1413) :args (@t841)) % 0.50/0.71 (step @p1415 :rule cong :premises (@p1414) :args ((forall @t41 @t841))) % 0.50/0.71 (step @p1416 :rule bool-and-de-morgan :args (@t39 @t475 true)) % 0.50/0.71 (step @p1417 :rule cong :premises (@p1416) :args (@t843)) % 0.50/0.71 (step @p1418 :rule trans :premises (@p1417 @p1415)) % 0.50/0.71 (step @p1419 :rule cong :premises (@p1418) :args (@t844)) % 0.50/0.71 (step @p1420 :rule exists-elim :args ((= (exists @t41 @t842) @t844))) % 0.50/0.71 (step @p1421 :rule trans :premises (@p1420 @p1419)) % 0.50/0.71 (step @p1422 :rule bool-double-not-elim :args (@t475)) % 0.50/0.71 (step @p1423 :rule nary_cong :premises (@p375 @p156) :args (@t845)) % 0.50/0.71 (step @p1424 :rule cong :premises (@p1423) :args ((forall @t9 @t845))) % 0.50/0.71 (step @p1425 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 0.50/0.71 (step @p1426 :rule cong :premises (@p1425) :args (@t846)) % 0.50/0.71 (step @p1427 :rule trans :premises (@p1426 @p1424)) % 0.50/0.71 (step @p1428 :rule cong :premises (@p1427) :args (@t847)) % 0.50/0.71 (step @p1429 :rule exists-elim :args ((= @t85 @t847))) % 0.50/0.71 (step @p1430 :rule trans :premises (@p1429 @p1428)) % 0.50/0.71 (step @p1431 :rule cong :premises (@p1430) :args (@t86)) % 0.50/0.71 (step @p1432 :rule trans :premises (@p1431 @p1422)) % 0.50/0.71 (step @p1433 :rule refl :args (@t39)) % 0.50/0.71 (step @p1434 :rule nary_cong :premises (@p1433 @p1432) :args (@t87)) % 0.50/0.71 (step @p1435 :rule cong :premises (@p1434) :args (@t88)) % 0.50/0.71 (step @p1436 :rule trans :premises (@p1435 @p1421)) % 0.50/0.71 (step @p1437 :rule cong :premises (@p160 @p1436) :args (@t90)) % 0.50/0.71 (step @p1438 :rule cong :premises (@p1437) :args (@t91)) % 0.50/0.71 (step @p1439 :rule trans :premises (@p1438 @p1412)) % 0.50/0.71 (step @p1440 :rule refl :args (tptp.foundationAx)) % 0.50/0.71 (step @p1441 :rule cong :premises (@p1440 @p1439) :args (@t92)) % 0.50/0.71 (step @p1442 :rule eq_resolve :premises (@p10 @p1441)) % 0.50/0.71 (step @p1443 :rule cong :premises (@p1442 @p1398) :args (@t848)) % 0.50/0.71 (step @p1444 :rule bool-impl-elim :args (@t494 @t486)) % 0.50/0.71 (step @p1445 :rule cong :premises (@p1444) :args ((forall @t81 (=> @t494 @t486)))) % 0.50/0.71 (step @p1446 :rule exists-elim :args ((= (exists @t41 @t485) @t486))) % 0.50/0.71 (step @p1447 :rule refl :args (@t484)) % 0.50/0.71 (step @p1448 :rule cong :premises (@p374 @p1447) :args (@t849)) % 0.50/0.71 (step @p1449 :rule cong :premises (@p1448) :args ((forall @t9 @t849))) % 0.50/0.71 (step @p1450 :rule refl :args (@t483)) % 0.50/0.71 (step @p1451 :rule refl :args (@t68)) % 0.50/0.71 (step @p1452 :rule cong :premises (@p1451 @p1450) :args ((= @t68 @t483))) % 0.50/0.71 (step @p1453 :rule symm :premises (@p1452)) % 0.50/0.71 (step @p1454 :rule eq_resolve :premises (@p1451 @p1453)) % 0.50/0.71 (step @p1455 :rule cong :premises (@p1454) :args (@t850)) % 0.50/0.71 (step @p1456 :rule nary_cong :premises (@p615 @p1455) :args (@t851)) % 0.50/0.71 (step @p1457 :rule cong :premises (@p1456) :args ((forall @t70 @t851))) % 0.50/0.71 (step @p1458 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 0.50/0.71 (step @p1459 :rule cong :premises (@p1458) :args (@t852)) % 0.50/0.71 (step @p1460 :rule trans :premises (@p1459 @p1457)) % 0.50/0.71 (step @p1461 :rule cong :premises (@p1460) :args (@t853)) % 0.50/0.71 (step @p1462 :rule exists-elim :args ((= @t71 @t853))) % 0.50/0.71 (step @p1463 :rule trans :premises (@p1462 @p1461)) % 0.50/0.71 (step @p1464 :rule refl :args (@t6)) % 0.50/0.71 (step @p1465 :rule cong :premises (@p1464 @p1463) :args (@t72)) % 0.50/0.71 (step @p1466 :rule cong :premises (@p1465) :args (@t73)) % 0.50/0.71 (step @p1467 :rule trans :premises (@p1466 @p1449)) % 0.50/0.71 (step @p1468 :rule cong :premises (@p1467) :args (@t74)) % 0.50/0.71 (step @p1469 :rule trans :premises (@p1468 @p1446)) % 0.50/0.71 (step @p1470 :rule refl :args (@t493)) % 0.50/0.71 (step @p1471 :rule nary_cong :premises (@p156 @p1470) :args (@t854)) % 0.50/0.71 (step @p1472 :rule cong :premises (@p1471) :args ((forall @t9 @t854))) % 0.50/0.71 (step @p1473 :rule bool-impl-elim :args (@t7 @t493)) % 0.50/0.71 (step @p1474 :rule cong :premises (@p1473) :args ((forall @t9 (=> @t7 @t493)))) % 0.50/0.71 (step @p1475 :rule trans :premises (@p1474 @p1472)) % 0.50/0.71 (step @p1476 :rule refl :args (@t490)) % 0.50/0.71 (step @p1477 :rule refl :args (@t491)) % 0.50/0.71 (step @p1478 :rule refl :args (@t855)) % 0.50/0.71 (step @p1479 :rule cong :premises (@p1478 @p1477) :args ((= @t855 @t491))) % 0.50/0.71 (step @p1480 :rule symm :premises (@p1479)) % 0.50/0.71 (step @p1481 :rule eq_resolve :premises (@p1478 @p1480)) % 0.50/0.71 (step @p1482 :rule cong :premises (@p1481) :args (@t856)) % 0.50/0.71 (step @p1483 :rule nary_cong :premises (@p1482 @p1476) :args (@t857)) % 0.50/0.71 (step @p1484 :rule cong :premises (@p1483) :args ((forall @t492 @t857))) % 0.50/0.71 (step @p1485 :rule refl :args (@t488)) % 0.50/0.71 (step @p1486 :rule refl :args (@t489)) % 0.50/0.71 (step @p1487 :rule refl :args (@t76)) % 0.50/0.71 (step @p1488 :rule cong :premises (@p1487 @p1486) :args ((= @t76 @t489))) % 0.50/0.71 (step @p1489 :rule symm :premises (@p1488)) % 0.50/0.71 (step @p1490 :rule eq_resolve :premises (@p1487 @p1489)) % 0.50/0.71 (step @p1491 :rule cong :premises (@p1490) :args (@t858)) % 0.50/0.71 (step @p1492 :rule nary_cong :premises (@p1491 @p1485) :args (@t859)) % 0.50/0.71 (step @p1493 :rule cong :premises (@p1492) :args ((forall @t70 @t859))) % 0.50/0.71 (step @p1494 :rule refl :args (@t488)) % 0.50/0.71 (step @p1495 :rule beta-reduce :args ((= @t860 @t76))) % 0.50/0.71 (step @p1496 :rule cong :premises (@p1495) :args (@t861)) % 0.50/0.71 (step @p1497 :rule nary_cong :premises (@p1496 @p1494) :args (@t862)) % 0.50/0.71 (step @p1498 :rule cong :premises (@p1497) :args (@t863)) % 0.50/0.71 (step @p1499 :rule trans :premises (@p1498 @p1493)) % 0.50/0.71 (step @p1500 :rule cong :premises (@p1499) :args (@t864)) % 0.50/0.71 (step @p1501 :rule beta-reduce :args ((= @t865 @t855))) % 0.50/0.71 (step @p1502 :rule cong :premises (@p1501) :args (@t866)) % 0.50/0.71 (step @p1503 :rule nary_cong :premises (@p1502 @p1500) :args (@t867)) % 0.50/0.71 (step @p1504 :rule cong :premises (@p1503) :args (@t868)) % 0.50/0.71 (step @p1505 :rule trans :premises (@p1504 @p1484)) % 0.50/0.71 (step @p1506 :rule cong :premises (@p1505) :args (@t869)) % 0.50/0.71 (step @p1507 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t492 (or @t870 (not (forall @t70 (or @t335 @t488))))))) @t77) @t869))) % 0.50/0.71 (step @p1508 :rule trans :premises (@p1507 @p1506)) % 0.50/0.71 (step @p1509 :rule refl :args (@t77)) % 0.50/0.71 (step @p1510 :rule eq-symm :args (@t487 @t19)) % 0.50/0.71 (step @p1511 :rule nary_cong :premises (@p180 @p1510) :args (@t871)) % 0.50/0.71 (step @p1512 :rule cong :premises (@p1511) :args (@t872)) % 0.50/0.71 (step @p1513 :rule cong :premises (@p1512) :args (@t873)) % 0.50/0.71 (step @p1514 :rule refl :args (@t870)) % 0.50/0.71 (step @p1515 :rule nary_cong :premises (@p1514 @p1513) :args (@t874)) % 0.50/0.71 (step @p1516 :rule cong :premises (@p1515) :args (@t875)) % 0.50/0.71 (step @p1517 :rule cong :premises (@p1516) :args (@t876)) % 0.50/0.71 (step @p1518 :rule cong :premises (@p1517) :args ((lambda @t150 @t876))) % 0.50/0.71 (step @p1519 :rule ho_cong :premises (@p1518 @p1509)) % 0.50/0.71 (step @p1520 :rule trans :premises (@p1519 @p1508)) % 0.50/0.71 (step @p1521 :rule refl :args (@t77)) % 0.50/0.71 (step @p1522 :rule alpha_equiv :args (@t563 @t559 (@list @t487))) % 0.50/0.71 (step @p1523 :rule cong :premises (@p1522) :args (@t564)) % 0.50/0.71 (step @p1524 :rule cong :premises (@p1523) :args (@t581)) % 0.50/0.71 (step @p1525 :rule ho_cong :premises (@p1524 @p1521)) % 0.50/0.71 (step @p1526 :rule trans :premises (@p1525 @p1520)) % 0.50/0.71 (step @p1527 :rule cong :premises (@p733 @p1526) :args (@t877)) % 0.50/0.71 (step @p1528 :rule cong :premises (@p1527) :args (@t878)) % 0.50/0.71 (step @p1529 :rule trans :premises (@p1528 @p1475)) % 0.50/0.71 (step @p1530 :rule cong :premises (@p1529 @p1469) :args (@t879)) % 0.50/0.71 (step @p1531 :rule cong :premises (@p1530) :args (@t880)) % 0.50/0.71 (step @p1532 :rule trans :premises (@p1531 @p1445)) % 0.50/0.71 (step @p1533 :rule refl :args (tptp.replAx)) % 0.50/0.71 (step @p1534 :rule cong :premises (@p1533 @p1532) :args ((= tptp.replAx @t880))) % 0.50/0.71 (step @p1535 :rule refl :args (@t74)) % 0.50/0.71 (step @p1536 :rule ho_cong :premises (@p273 @p1509)) % 0.50/0.71 (step @p1537 :rule cong :premises (@p733 @p1536) :args (@t78)) % 0.50/0.71 (step @p1538 :rule cong :premises (@p1537) :args (@t79)) % 0.50/0.71 (step @p1539 :rule cong :premises (@p1538 @p1535) :args (@t80)) % 0.50/0.71 (step @p1540 :rule cong :premises (@p1539) :args (@t82)) % 0.50/0.71 (step @p1541 :rule cong :premises (@p1533 @p1540) :args (@t83)) % 0.50/0.71 (step @p1542 :rule trans :premises (@p1541 @p1534)) % 0.50/0.71 (step @p1543 :rule eq_resolve :premises (@p9 @p1542)) % 0.50/0.71 (step @p1544 :rule cong :premises (@p1543 @p1443) :args (@t881)) % 0.50/0.71 (step @p1545 :rule aci_norm :args ((= @t883 @t508))) % 0.50/0.71 (step @p1546 :rule cong :premises (@p1545) :args (@t884)) % 0.50/0.71 (step @p1547 :rule quant-merge-prenex :args ((= (forall @t64 @t886) @t884))) % 0.50/0.71 (step @p1548 :rule alpha_equiv :args (@t887 (@list @t497) @t559)) % 0.50/0.71 (step @p1549 :rule refl :args (@t505)) % 0.50/0.71 (step @p1550 :rule refl :args (@t507)) % 0.50/0.71 (step @p1551 :rule nary_cong :premises (@p1550 @p1549 @p1548) :args (@t888)) % 0.50/0.71 (step @p1552 :rule quant-miniscope-or :args ((= @t886 @t888))) % 0.50/0.71 (step @p1553 :rule trans :premises (@p1552 @p1551)) % 0.50/0.71 (step @p1554 :rule symm :premises (@p1553)) % 0.50/0.71 (step @p1555 :rule cong :premises (@p1554) :args ((forall @t64 (or @t507 @t505 @t889)))) % 0.50/0.71 (step @p1556 :rule trans :premises (@p1555 @p1547)) % 0.50/0.71 (step @p1557 :rule trans :premises (@p1556 @p1546)) % 0.50/0.71 (step @p1558 :rule refl :args (@t889)) % 0.50/0.71 (step @p1559 :rule refl :args (@t506)) % 0.50/0.71 (step @p1560 :rule refl :args (@t61)) % 0.50/0.71 (step @p1561 :rule cong :premises (@p1560 @p1559) :args ((= @t61 @t506))) % 0.50/0.71 (step @p1562 :rule symm :premises (@p1561)) % 0.50/0.71 (step @p1563 :rule eq_resolve :premises (@p1560 @p1562)) % 0.50/0.71 (step @p1564 :rule cong :premises (@p1563) :args (@t890)) % 0.50/0.71 (step @p1565 :rule nary_cong :premises (@p1564 @p1549 @p1558) :args (@t891)) % 0.50/0.71 (step @p1566 :rule cong :premises (@p1565) :args ((forall @t64 @t891))) % 0.50/0.71 (step @p1567 :rule trans :premises (@p1566 @p1557)) % 0.50/0.71 (step @p1568 :rule aci_norm :args ((= (or (or @t890 @t505) @t889) @t891))) % 0.50/0.71 (step @p1569 :rule bool-and-de-morgan :args (@t61 @t504 true)) % 0.50/0.71 (step @p1570 :rule nary_cong :premises (@p1569 @p1558) :args ((or (not @t892) @t889))) % 0.50/0.71 (step @p1571 :rule trans :premises (@p1570 @p1568)) % 0.50/0.71 (step @p1572 :rule bool-impl-elim :args (@t892 @t889)) % 0.50/0.71 (step @p1573 :rule trans :premises (@p1572 @p1571)) % 0.50/0.71 (step @p1574 :rule cong :premises (@p1573) :args ((forall @t64 (=> @t892 @t889)))) % 0.50/0.71 (step @p1575 :rule trans :premises (@p1574 @p1567)) % 0.50/0.71 (step @p1576 :rule refl :args (@t502)) % 0.50/0.71 (step @p1577 :rule refl :args (@t54)) % 0.50/0.71 (step @p1578 :rule cong :premises (@p1577 @p1576) :args ((= @t54 @t502))) % 0.50/0.71 (step @p1579 :rule symm :premises (@p1578)) % 0.50/0.71 (step @p1580 :rule eq_resolve :premises (@p1577 @p1579)) % 0.50/0.71 (step @p1581 :rule cong :premises (@p1580) :args (@t893)) % 0.50/0.71 (step @p1582 :rule nary_cong :premises (@p1581 @p155) :args (@t894)) % 0.50/0.71 (step @p1583 :rule cong :premises (@p1582) :args ((forall @t9 @t894))) % 0.50/0.71 (step @p1584 :rule bool-impl-elim :args (@t54 @t7)) % 0.50/0.71 (step @p1585 :rule cong :premises (@p1584) :args (@t57)) % 0.50/0.71 (step @p1586 :rule trans :premises (@p1585 @p1583)) % 0.50/0.71 (step @p1587 :rule refl :args ((tptp.in @t51 @t2))) % 0.50/0.71 (step @p1588 :rule refl :args (@t500)) % 0.50/0.71 (step @p1589 :rule cong :premises (@p1588 @p494) :args (@t501)) % 0.50/0.71 (step @p1590 :rule trans :premises (@p1589 @p1587)) % 0.50/0.71 (step @p1591 :rule refl :args (tptp.in)) % 0.50/0.71 (step @p1592 :rule ho_cong :premises (@p1591 @p1588)) % 0.50/0.71 (step @p1593 :rule ho_cong :premises (@p1592 @p494)) % 0.50/0.71 (step @p1594 :rule cong :premises (@p1593 @p1590) :args ((= (_ @t895 @t2) @t501))) % 0.50/0.71 (step @p1595 :rule symm :premises (@p1594)) % 0.50/0.71 (step @p1596 :rule refl :args (@t58)) % 0.50/0.71 (step @p1597 :rule eq_resolve :premises (@p1596 @p1595)) % 0.50/0.71 (step @p1598 :rule refl :args (@t51)) % 0.50/0.71 (step @p1599 :rule cong :premises (@p1598 @p1588) :args ((= @t51 @t500))) % 0.50/0.71 (step @p1600 :rule symm :premises (@p1599)) % 0.50/0.71 (step @p1601 :rule eq_resolve :premises (@p1598 @p1600)) % 0.50/0.71 (step @p1602 :rule ho_cong :premises (@p1591 @p1601)) % 0.50/0.71 (step @p1603 :rule ho_cong :premises (@p1602 @p494)) % 0.50/0.71 (step @p1604 :rule trans :premises (@p1603 @p1597)) % 0.50/0.71 (step @p1605 :rule nary_cong :premises (@p1581 @p156 @p1604) :args (@t896)) % 0.50/0.71 (step @p1606 :rule cong :premises (@p1605) :args ((forall @t9 @t896))) % 0.50/0.71 (step @p1607 :rule aci_norm :args ((= (or (or @t893 @t194) @t58) @t896))) % 0.50/0.71 (step @p1608 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 0.50/0.71 (step @p1609 :rule nary_cong :premises (@p1608 @p1596) :args ((or (not @t59) @t58))) % 0.50/0.71 (step @p1610 :rule trans :premises (@p1609 @p1607)) % 0.50/0.71 (step @p1611 :rule bool-impl-elim :args (@t59 @t58)) % 0.50/0.71 (step @p1612 :rule trans :premises (@p1611 @p1610)) % 0.50/0.71 (step @p1613 :rule cong :premises (@p1612) :args (@t60)) % 0.50/0.71 (step @p1614 :rule trans :premises (@p1613 @p1606)) % 0.50/0.71 (step @p1615 :rule refl :args (@t61)) % 0.50/0.71 (step @p1616 :rule nary_cong :premises (@p1615 @p1614) :args (@t62)) % 0.50/0.71 (step @p1617 :rule cong :premises (@p1616 @p1586) :args (@t63)) % 0.50/0.71 (step @p1618 :rule cong :premises (@p1617) :args (@t65)) % 0.50/0.71 (step @p1619 :rule trans :premises (@p1618 @p1575)) % 0.50/0.71 (step @p1620 :rule refl :args (tptp.omegaIndAx)) % 0.50/0.71 (step @p1621 :rule cong :premises (@p1620 @p1619) :args (@t66)) % 0.50/0.71 (step @p1622 :rule eq_resolve :premises (@p8 @p1621)) % 0.50/0.71 (step @p1623 :rule cong :premises (@p1622 @p1544) :args (@t897)) % 0.50/0.71 (step @p1624 :rule refl :args ((tptp.in @t51 tptp.omega))) % 0.50/0.71 (step @p1625 :rule refl :args (tptp.omega)) % 0.50/0.71 (step @p1626 :rule cong :premises (@p1588 @p1625) :args (@t512)) % 0.50/0.71 (step @p1627 :rule trans :premises (@p1626 @p1624)) % 0.50/0.71 (step @p1628 :rule ho_cong :premises (@p1592 @p1625)) % 0.50/0.71 (step @p1629 :rule cong :premises (@p1628 @p1627) :args ((= (_ @t895 tptp.omega) @t512))) % 0.50/0.71 (step @p1630 :rule symm :premises (@p1629)) % 0.50/0.71 (step @p1631 :rule refl :args (@t53)) % 0.50/0.71 (step @p1632 :rule eq_resolve :premises (@p1631 @p1630)) % 0.50/0.71 (step @p1633 :rule ho_cong :premises (@p1602 @p1625)) % 0.50/0.71 (step @p1634 :rule trans :premises (@p1633 @p1632)) % 0.50/0.71 (step @p1635 :rule nary_cong :premises (@p1581 @p1634) :args (@t898)) % 0.50/0.71 (step @p1636 :rule cong :premises (@p1635) :args ((forall @t9 @t898))) % 0.50/0.71 (step @p1637 :rule bool-impl-elim :args (@t54 @t53)) % 0.50/0.71 (step @p1638 :rule cong :premises (@p1637) :args (@t55)) % 0.50/0.71 (step @p1639 :rule trans :premises (@p1638 @p1636)) % 0.50/0.71 (step @p1640 :rule refl :args (tptp.omegaSAx)) % 0.50/0.71 (step @p1641 :rule cong :premises (@p1640 @p1639) :args (@t56)) % 0.50/0.71 (step @p1642 :rule eq_resolve :premises (@p7 @p1641)) % 0.50/0.71 (step @p1643 :rule cong :premises (@p1642 @p1623) :args (@t899)) % 0.50/0.71 (step @p1644 :rule cong :premises (@p6 @p1643) :args (@t900)) % 0.50/0.71 (step @p1645 :rule eq-symm :args (@t349 @t348)) % 0.50/0.71 (step @p1646 :rule cong :premises (@p1645) :args ((forall @t46 (= @t349 @t348)))) % 0.50/0.71 (step @p1647 :rule cong :premises (@p328 @p318) :args (@t901)) % 0.50/0.71 (step @p1648 :rule cong :premises (@p1647) :args ((forall @t46 @t901))) % 0.50/0.71 (step @p1649 :rule trans :premises (@p1648 @p1646)) % 0.50/0.71 (step @p1650 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 0.50/0.71 (step @p1651 :rule cong :premises (@p1650) :args (@t902)) % 0.50/0.71 (step @p1652 :rule trans :premises (@p1651 @p377)) % 0.50/0.71 (step @p1653 :rule cong :premises (@p1652) :args (@t903)) % 0.50/0.71 (step @p1654 :rule exists-elim :args ((= @t42 @t903))) % 0.50/0.71 (step @p1655 :rule trans :premises (@p1654 @p1653)) % 0.50/0.71 (step @p1656 :rule cong :premises (@p396 @p1655) :args (@t45)) % 0.50/0.71 (step @p1657 :rule cong :premises (@p1656) :args (@t47)) % 0.50/0.71 (step @p1658 :rule trans :premises (@p1657 @p1649)) % 0.50/0.71 (step @p1659 :rule refl :args (tptp.setunionAx)) % 0.50/0.71 (step @p1660 :rule cong :premises (@p1659 @p1658) :args (@t48)) % 0.50/0.71 (step @p1661 :rule eq_resolve :premises (@p5 @p1660)) % 0.50/0.71 (step @p1662 :rule cong :premises (@p1661 @p1644) :args (@t904)) % 0.50/0.71 (step @p1663 :rule eq-symm :args (@t351 @t354)) % 0.50/0.71 (step @p1664 :rule cong :premises (@p1663) :args ((forall @t12 (= @t351 @t354)))) % 0.50/0.71 (step @p1665 :rule refl :args (@t354)) % 0.50/0.71 (step @p1666 :rule cong :premises (@p434 @p1665) :args (@t905)) % 0.50/0.71 (step @p1667 :rule cong :premises (@p1666) :args ((forall @t12 @t905))) % 0.50/0.71 (step @p1668 :rule trans :premises (@p1667 @p1664)) % 0.50/0.71 (step @p1669 :rule cong :premises (@p480 @p484) :args (@t36)) % 0.50/0.71 (step @p1670 :rule cong :premises (@p1669) :args (@t37)) % 0.50/0.71 (step @p1671 :rule trans :premises (@p1670 @p1668)) % 0.50/0.71 (step @p1672 :rule refl :args (tptp.powersetAx)) % 0.50/0.71 (step @p1673 :rule cong :premises (@p1672 @p1671) :args (@t38)) % 0.50/0.71 (step @p1674 :rule eq_resolve :premises (@p4 @p1673)) % 0.50/0.71 (step @p1675 :rule cong :premises (@p1674 @p1662) :args (@t906)) % 0.50/0.71 (step @p1676 :rule nary_cong :premises (@p209 @p523) :args (@t625)) % 0.50/0.71 (step @p1677 :rule cong :premises (@p540 @p1676) :args (@t907)) % 0.50/0.71 (step @p1678 :rule cong :premises (@p1677) :args ((forall @t28 @t907))) % 0.50/0.71 (step @p1679 :rule cong :premises (@p551 @p550) :args (@t27)) % 0.50/0.71 (step @p1680 :rule cong :premises (@p1679) :args (@t29)) % 0.50/0.71 (step @p1681 :rule trans :premises (@p1680 @p1678)) % 0.50/0.71 (step @p1682 :rule refl :args (tptp.setadjoinAx)) % 0.50/0.71 (step @p1683 :rule cong :premises (@p1682 @p1681) :args (@t30)) % 0.50/0.71 (step @p1684 :rule eq_resolve :premises (@p3 @p1683)) % 0.50/0.71 (step @p1685 :rule cong :premises (@p1684 @p1675) :args (@t908)) % 0.50/0.71 (step @p1686 :rule refl :args (tptp.emptysetAx)) % 0.50/0.71 (step @p1687 :rule cong :premises (@p1686 @p879) :args (@t18)) % 0.50/0.71 (step @p1688 :rule eq_resolve :premises (@p2 @p1687)) % 0.50/0.71 (step @p1689 :rule cong :premises (@p1688 @p1685) :args (@t909)) % 0.50/0.71 (step @p1690 :rule bool-impl-elim :args (@t525 @t3)) % 0.50/0.71 (step @p1691 :rule cong :premises (@p1690) :args ((forall @t12 (=> @t525 @t3)))) % 0.50/0.71 (step @p1692 :rule cong :premises (@p155 @p374) :args (@t8)) % 0.50/0.71 (step @p1693 :rule cong :premises (@p1692) :args (@t10)) % 0.50/0.71 (step @p1694 :rule cong :premises (@p1693 @p816) :args (@t11)) % 0.50/0.71 (step @p1695 :rule cong :premises (@p1694) :args (@t13)) % 0.50/0.71 (step @p1696 :rule trans :premises (@p1695 @p1691)) % 0.50/0.71 (step @p1697 :rule refl :args (tptp.setextAx)) % 0.50/0.71 (step @p1698 :rule cong :premises (@p1697 @p1696) :args (@t14)) % 0.50/0.71 (step @p1699 :rule eq_resolve :premises (@p1 @p1698)) % 0.50/0.71 (step @p1700 :rule cong :premises (@p1699 @p1689) :args (@t910)) % 0.50/0.71 (step @p1701 :rule cong :premises (@p1700) :args ((not @t910))) % 0.50/0.71 (step @p1702 :rule trans :premises (@p1701 @p143)) % 0.50/0.71 (step @p1703 :rule refl :args ((tptp.in @t4 @t271))) % 0.50/0.71 (step @p1704 :rule refl :args (@t325)) % 0.50/0.71 (step @p1705 :rule cong :premises (@p286 @p1704) :args (@t326)) % 0.50/0.71 (step @p1706 :rule trans :premises (@p1705 @p1703)) % 0.50/0.71 (step @p1707 :rule ho_cong :premises (@p289 @p1704)) % 0.50/0.71 (step @p1708 :rule cong :premises (@p1707 @p1706) :args ((= (_ @t5 @t325) @t326))) % 0.50/0.71 (step @p1709 :rule symm :premises (@p1708)) % 0.50/0.71 (step @p1710 :rule refl :args (@t272)) % 0.50/0.71 (step @p1711 :rule eq_resolve :premises (@p1710 @p1709)) % 0.50/0.71 (step @p1712 :rule refl :args (@t271)) % 0.50/0.71 (step @p1713 :rule cong :premises (@p1712 @p1704) :args ((= @t271 @t325))) % 0.50/0.71 (step @p1714 :rule symm :premises (@p1713)) % 0.50/0.71 (step @p1715 :rule eq_resolve :premises (@p1712 @p1714)) % 0.50/0.71 (step @p1716 :rule ho_cong :premises (@p289 @p1715)) % 0.50/0.71 (step @p1717 :rule trans :premises (@p1716 @p1711)) % 0.50/0.71 (step @p1718 :rule cong :premises (@p1717) :args (@t911)) % 0.50/0.71 (step @p1719 :rule nary_cong :premises (@p1718 @p209) :args (@t912)) % 0.50/0.71 (step @p1720 :rule cong :premises (@p1719) :args ((forall @t135 @t912))) % 0.50/0.71 (step @p1721 :rule bool-impl-elim :args (@t272 @t129)) % 0.50/0.71 (step @p1722 :rule cong :premises (@p1721) :args (@t273)) % 0.50/0.71 (step @p1723 :rule trans :premises (@p1722 @p1720)) % 0.50/0.71 (step @p1724 :rule cong :premises (@p168 @p1723) :args (@t274)) % 0.50/0.71 (step @p1725 :rule cong :premises (@p255 @p1724) :args (@t275)) % 0.50/0.71 (step @p1726 :rule cong :premises (@p314 @p1725) :args (@t276)) % 0.50/0.71 (step @p1727 :rule cong :premises (@p400 @p1726) :args (@t277)) % 0.50/0.71 (step @p1728 :rule cong :premises (@p414 @p1727) :args (@t278)) % 0.50/0.71 (step @p1729 :rule cong :premises (@p447 @p1728) :args (@t279)) % 0.50/0.71 (step @p1730 :rule cong :premises (@p452 @p1729) :args (@t280)) % 0.50/0.71 (step @p1731 :rule cong :premises (@p470 @p1730) :args (@t281)) % 0.50/0.71 (step @p1732 :rule cong :premises (@p488 @p1731) :args (@t282)) % 0.50/0.71 (step @p1733 :rule cong :premises (@p515 @p1732) :args (@t283)) % 0.50/0.71 (step @p1734 :rule cong :premises (@p555 @p1733) :args (@t284)) % 0.50/0.71 (step @p1735 :rule cong :premises (@p611 @p1734) :args (@t285)) % 0.50/0.71 (step @p1736 :rule cong :premises (@p621 @p1735) :args (@t286)) % 0.50/0.71 (step @p1737 :rule refl :args (tptp.emptyinunitempty)) % 0.50/0.71 (step @p1738 :rule cong :premises (@p1737 @p1736) :args (@t287)) % 0.50/0.71 (step @p1739 :rule cong :premises (@p642 @p1738) :args (@t288)) % 0.50/0.71 (step @p1740 :rule cong :premises (@p684 @p1739) :args (@t289)) % 0.50/0.71 (step @p1741 :rule cong :premises (@p737 @p1740) :args (@t290)) % 0.50/0.71 (step @p1742 :rule cong :premises (@p751 @p1741) :args (@t291)) % 0.50/0.71 (step @p1743 :rule cong :premises (@p786 @p1742) :args (@t292)) % 0.50/0.71 (step @p1744 :rule cong :premises (@p791 @p1743) :args (@t293)) % 0.50/0.71 (step @p1745 :rule cong :premises (@p804 @p1744) :args (@t294)) % 0.50/0.71 (step @p1746 :rule cong :premises (@p826 @p1745) :args (@t295)) % 0.50/0.71 (step @p1747 :rule cong :premises (@p862 @p1746) :args (@t296)) % 0.50/0.71 (step @p1748 :rule cong :premises (@p872 @p1747) :args (@t297)) % 0.50/0.71 (step @p1749 :rule cong :premises (@p889 @p1748) :args (@t298)) % 0.50/0.71 (step @p1750 :rule cong :premises (@p904 @p1749) :args (@t299)) % 0.50/0.71 (step @p1751 :rule cong :premises (@p981 @p1750) :args (@t300)) % 0.50/0.71 (step @p1752 :rule cong :premises (@p1005 @p1751) :args (@t301)) % 0.50/0.71 (step @p1753 :rule cong :premises (@p1026 @p1752) :args (@t302)) % 0.50/0.71 (step @p1754 :rule cong :premises (@p1039 @p1753) :args (@t303)) % 0.50/0.71 (step @p1755 :rule cong :premises (@p1056 @p1754) :args (@t304)) % 0.50/0.71 (step @p1756 :rule cong :premises (@p1124 @p1755) :args (@t305)) % 0.50/0.71 (step @p1757 :rule cong :premises (@p1395 @p1756) :args (@t306)) % 0.50/0.71 (step @p1758 :rule cong :premises (@p1440 @p1757) :args (@t307)) % 0.50/0.71 (step @p1759 :rule cong :premises (@p1533 @p1758) :args (@t308)) % 0.50/0.71 (step @p1760 :rule cong :premises (@p1620 @p1759) :args (@t309)) % 0.50/0.71 (step @p1761 :rule cong :premises (@p1640 @p1760) :args (@t310)) % 0.50/0.71 (step @p1762 :rule refl :args (tptp.omega0Ax)) % 0.50/0.71 (step @p1763 :rule cong :premises (@p1762 @p1761) :args (@t311)) % 0.50/0.71 (step @p1764 :rule cong :premises (@p1659 @p1763) :args (@t312)) % 0.50/0.71 (step @p1765 :rule cong :premises (@p1672 @p1764) :args (@t313)) % 0.50/0.71 (step @p1766 :rule cong :premises (@p1682 @p1765) :args (@t314)) % 0.50/0.71 (step @p1767 :rule cong :premises (@p1686 @p1766) :args (@t315)) % 0.50/0.71 (step @p1768 :rule cong :premises (@p1697 @p1767) :args (@t316)) % 0.50/0.71 (step @p1769 :rule cong :premises (@p1768) :args (@t317)) % 0.50/0.71 (step @p1770 :rule trans :premises (@p1769 @p1702 @p125)) % 0.50/0.71 (step @p1771 :rule eq_resolve :premises (@p44 @p1770)) % 0.50/0.71 (step @p1772 :rule not_implies_elim2 :premises (@p1771)) % 0.50/0.71 (step @p1773 :rule not_implies_elim1 :premises (@p1772)) % 0.50/0.71 (step @p1774 :rule not_implies_elim2 :premises (@p1772)) % 0.50/0.71 (step @p1775 :rule not_implies_elim2 :premises (@p1774)) % 0.50/0.71 (step @p1776 :rule not_implies_elim2 :premises (@p1775)) % 0.50/0.71 (step @p1777 :rule not_implies_elim2 :premises (@p1776)) % 0.50/0.71 (step @p1778 :rule not_implies_elim2 :premises (@p1777)) % 0.50/0.71 (step @p1779 :rule not_implies_elim2 :premises (@p1778)) % 0.50/0.71 (step @p1780 :rule not_implies_elim2 :premises (@p1779)) % 0.50/0.71 (step @p1781 :rule not_implies_elim2 :premises (@p1780)) % 0.50/0.71 (step @p1782 :rule not_implies_elim2 :premises (@p1781)) % 0.50/0.71 (step @p1783 :rule not_implies_elim2 :premises (@p1782)) % 0.50/0.71 (step @p1784 :rule not_implies_elim2 :premises (@p1783)) % 0.50/0.71 (step @p1785 :rule not_implies_elim2 :premises (@p1784)) % 0.50/0.71 (step @p1786 :rule not_implies_elim2 :premises (@p1785)) % 0.50/0.71 (step @p1787 :rule not_implies_elim2 :premises (@p1786)) % 0.50/0.71 (step @p1788 :rule not_implies_elim2 :premises (@p1787)) % 0.50/0.71 (step @p1789 :rule not_implies_elim2 :premises (@p1788)) % 0.50/0.71 (step @p1790 :rule not_implies_elim2 :premises (@p1789)) % 0.50/0.71 (step @p1791 :rule not_implies_elim2 :premises (@p1790)) % 0.50/0.71 (step @p1792 :rule not_implies_elim2 :premises (@p1791)) % 0.50/0.71 (step @p1793 :rule not_implies_elim2 :premises (@p1792)) % 0.50/0.71 (step @p1794 :rule not_implies_elim2 :premises (@p1793)) % 0.50/0.71 (step @p1795 :rule not_implies_elim2 :premises (@p1794)) % 0.50/0.71 (step @p1796 :rule not_implies_elim2 :premises (@p1795)) % 0.50/0.71 (step @p1797 :rule not_implies_elim2 :premises (@p1796)) % 0.50/0.71 (step @p1798 :rule not_implies_elim2 :premises (@p1797)) % 0.50/0.71 (step @p1799 :rule not_implies_elim2 :premises (@p1798)) % 0.50/0.71 (step @p1800 :rule not_implies_elim2 :premises (@p1799)) % 0.50/0.71 (step @p1801 :rule not_implies_elim2 :premises (@p1800)) % 0.50/0.71 (step @p1802 :rule not_implies_elim2 :premises (@p1801)) % 0.50/0.71 (step @p1803 :rule not_implies_elim1 :premises (@p1802)) % 0.50/0.71 (step @p1804 :rule refl :args (@t914)) % 0.50/0.71 (step @p1805 :rule eq-symm :args (@t915 @t913)) % 0.50/0.71 (step @p1806 :rule refl :args (@t917)) % 0.50/0.71 (step @p1807 :rule nary_cong :premises (@p1806 @p1805 @p1804) :args (@t918)) % 0.50/0.71 (step @p1808 :rule refl :args (@t362)) % 0.50/0.71 (step @p1809 :rule cong :premises (@p1808 @p1807) :args ((=> @t362 @t918))) % 0.50/0.71 (assume-push @p1848 @t362) % 0.50/0.71 (step @p1811 :rule instantiate :premises (@p1803) :args ((@list @t915 tptp.emptyset @t913))) % 0.50/0.71 (step-pop @p1849 :rule scope :premises (@p1811)) % 0.50/0.71 (step @p1812 :rule process_scope :premises (@p1849) :args (@t918)) % 0.50/0.71 (step @p1814 :rule eq_resolve :premises (@p1812 @p1809)) % 0.50/0.71 (step @p1815 :rule implies_elim :premises (@p1814)) % 0.50/0.71 (step @p1816 :rule chain_m_resolution :premises (@p1815 @p1803) :args (@t920 (@list false) (@list @t362))) % 0.50/0.71 (step @p1817 :rule not_implies_elim2 :premises (@p1802)) % 0.50/0.71 (step @p1818 :rule not_implies_elim2 :premises (@p1817)) % 0.50/0.71 (step @p1819 :rule not_implies_elim2 :premises (@p1818)) % 0.50/0.71 (step @p1820 :rule not_implies_elim2 :premises (@p1819)) % 0.50/0.71 (step @p1821 :rule not_implies_elim2 :premises (@p1820)) % 0.50/0.71 (step @p1822 :rule not_implies_elim2 :premises (@p1821)) % 0.50/0.71 (step @p1823 :rule not_implies_elim2 :premises (@p1822)) % 0.50/0.71 (step @p1824 :rule not_implies_elim2 :premises (@p1823)) % 0.50/0.71 (step @p1825 :rule not_implies_elim2 :premises (@p1824)) % 0.50/0.71 (step @p1826 :rule not_implies_elim2 :premises (@p1825)) % 0.50/0.71 (step @p1827 :rule not_implies_elim2 :premises (@p1826)) % 0.50/0.71 (step @p1828 :rule not_implies_elim2 :premises (@p1827)) % 0.50/0.71 (step @p1829 :rule skolemize :premises (@p1828)) % 0.50/0.71 (step @p1830 :rule cnf_or_neg :args (@t921 1)) % 0.50/0.71 (step @p1831 :rule chain_m_resolution :premises (@p1830 @p1829) :args ((not @t919) @t922 @t923)) % 0.50/0.71 (step @p1832 :rule bool-double-not-elim :args (@t916)) % 0.50/0.71 (step @p1833 :rule refl :args (@t921)) % 0.50/0.71 (step @p1834 :rule nary_cong :premises (@p1833 @p1832) :args ((or @t921 (not @t917)))) % 0.50/0.71 (step @p1835 :rule cnf_or_neg :args (@t921 0)) % 0.50/0.71 (step @p1836 :rule eq_resolve :premises (@p1835 @p1834)) % 0.50/0.71 (step @p1837 :rule reordering :premises (@p1836) :args ((or @t916 @t921))) % 0.50/0.71 (step @p1838 :rule chain_m_resolution :premises (@p1837 @p1829) :args (@t916 @t922 @t923)) % 0.50/0.71 (step @p1839 :rule cnf_or_pos :args (@t920)) % 0.50/0.71 (step @p1840 :rule reordering :premises (@p1839) :args ((or @t917 @t919 @t914 (not @t920)))) % 0.50/0.71 (step @p1841 :rule chain_m_resolution :premises (@p1840 @p1838 @p1831 @p1816) :args (@t914 (@list false true false) (@list @t916 @t919 @t920))) % 0.50/0.71 (assume-push @p1850 @t401) % 0.50/0.71 (step @p1843 :rule instantiate :premises (@p1773) :args ((@list @t913))) % 0.50/0.71 (step-pop @p1851 :rule scope :premises (@p1843)) % 0.50/0.71 (step @p1844 :rule process_scope :premises (@p1851) :args ((not @t914))) % 0.50/0.71 (step @p1846 :rule implies_elim :premises (@p1844)) % 0.50/0.71 (step @p1847 false :rule chain_m_resolution :premises (@p1846 @p1841 @p1773) :args (false (@list false false) (@list @t914 @t401))) % 0.50/0.71 ) % 0.50/0.71 % SZS output end Proof % 0.50/0.71 % cvc5 exiting %------------------------------------------------------------------------------