%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU521^1 : 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 : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:02 AM UTC 2026 % Result : Theorem 0.51s 0.72s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU521^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:40:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TH0 % 0.51/0.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.72 % SZS status Theorem % 0.51/0.72 % SZS output start Proof % 0.51/0.72 ( % 0.51/0.72 (declare-sort $$unsorted 0) % 0.51/0.72 (declare-const tptp.emptyset $$unsorted) % 0.51/0.72 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.51/0.72 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.51/0.72 (declare-const tptp.emptyInPowerset Bool) % 0.51/0.72 (declare-const tptp.setoftrueEq Bool) % 0.51/0.72 (declare-const tptp.setadjoinOr Bool) % 0.51/0.72 (declare-const tptp.setadjoinE Bool) % 0.51/0.72 (declare-const tptp.emptyinunitempty Bool) % 0.51/0.72 (declare-const tptp.nonemptyI1 Bool) % 0.51/0.72 (declare-const tptp.nonemptyI Bool) % 0.51/0.72 (declare-const tptp.nonemptyE1 Bool) % 0.51/0.72 (declare-const tptp.noeltsimpempty Bool) % 0.51/0.72 (declare-const tptp.emptyI Bool) % 0.51/0.72 (declare-const tptp.omegaIndAx Bool) % 0.51/0.72 (declare-const tptp.omega0Ax Bool) % 0.51/0.72 (declare-const tptp.setadjoinIL Bool) % 0.51/0.72 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.51/0.72 (declare-const tptp.powersetAx Bool) % 0.51/0.72 (declare-const tptp.omegaSAx Bool) % 0.51/0.72 (declare-const tptp.setext Bool) % 0.51/0.72 (declare-const tptp.setadjoinAx Bool) % 0.51/0.72 (declare-const tptp.powersetI Bool) % 0.51/0.72 (declare-const tptp.setbeta Bool) % 0.51/0.72 (declare-const tptp.dsetconstrER Bool) % 0.51/0.72 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.72 (declare-const tptp.setadjoinIR Bool) % 0.51/0.72 (declare-const tptp.notinemptyset Bool) % 0.51/0.72 (declare-const tptp.foundationAx Bool) % 0.51/0.72 (declare-const tptp.setextAx Bool) % 0.51/0.72 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.emptysetAx Bool) % 0.51/0.72 (declare-const tptp.dsetconstrEL Bool) % 0.51/0.72 (declare-const tptp.replAx Bool) % 0.51/0.72 (declare-const tptp.emptysetimpfalse Bool) % 0.51/0.72 (declare-const tptp.wellorderingAx Bool) % 0.51/0.72 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.51/0.72 (declare-const tptp.emptyinPowerset Bool) % 0.51/0.72 (declare-const tptp.exuE1 Bool) % 0.51/0.72 (declare-const tptp.descrp Bool) % 0.51/0.72 (declare-const tptp.dsetconstrI Bool) % 0.51/0.72 (declare-const tptp.omega $$unsorted) % 0.51/0.72 (declare-const tptp.exuE3e Bool) % 0.51/0.72 (declare-const tptp.prop2setE Bool) % 0.51/0.72 (declare-const tptp.setunionAx Bool) % 0.51/0.72 (declare-const tptp.emptysetE Bool) % 0.51/0.72 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.51/0.72 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.51/0.72 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.51/0.72 (define @t1 () (@var "B" $$unsorted)) % 0.51/0.72 (define @t2 () (@var "A" $$unsorted)) % 0.51/0.72 (define @t3 () (= @t2 @t1)) % 0.51/0.72 (define @t4 () (@var "Xx" $$unsorted)) % 0.51/0.72 (define @t5 () (_ tptp.in @t4)) % 0.51/0.72 (define @t6 () (_ @t5 @t1)) % 0.51/0.72 (define @t7 () (_ @t5 @t2)) % 0.51/0.72 (define @t8 () (= @t7 @t6)) % 0.51/0.72 (define @t9 () (@list @t4)) % 0.51/0.72 (define @t10 () (forall @t9 @t8)) % 0.51/0.72 (define @t11 () (=> @t10 @t3)) % 0.51/0.72 (define @t12 () (@list @t2 @t1)) % 0.51/0.72 (define @t13 () (forall @t12 @t11)) % 0.51/0.72 (define @t14 () (= tptp.setextAx @t13)) % 0.51/0.72 (define @t15 () (_ @t5 tptp.emptyset)) % 0.51/0.72 (define @t16 () (not @t15)) % 0.51/0.72 (define @t17 () (forall @t9 @t16)) % 0.51/0.72 (define @t18 () (= tptp.emptysetAx @t17)) % 0.51/0.72 (define @t19 () (@var "Xy" $$unsorted)) % 0.51/0.72 (define @t20 () (_ tptp.in @t19)) % 0.51/0.72 (define @t21 () (_ @t20 @t2)) % 0.51/0.72 (define @t22 () (= @t19 @t4)) % 0.51/0.72 (define @t23 () (or @t22 @t21)) % 0.51/0.72 (define @t24 () (_ tptp.setadjoin @t4)) % 0.51/0.72 (define @t25 () (_ @t24 @t2)) % 0.51/0.72 (define @t26 () (_ @t20 @t25)) % 0.51/0.72 (define @t27 () (= @t26 @t23)) % 0.51/0.72 (define @t28 () (@list @t4 @t2 @t19)) % 0.51/0.72 (define @t29 () (forall @t28 @t27)) % 0.51/0.72 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.51/0.72 (define @t31 () (=> @t6 @t7)) % 0.51/0.72 (define @t32 () (forall @t9 @t31)) % 0.51/0.72 (define @t33 () (_ tptp.powerset @t2)) % 0.51/0.72 (define @t34 () (_ tptp.in @t1)) % 0.51/0.72 (define @t35 () (_ @t34 @t33)) % 0.51/0.72 (define @t36 () (= @t35 @t32)) % 0.51/0.72 (define @t37 () (forall @t12 @t36)) % 0.51/0.72 (define @t38 () (= tptp.powersetAx @t37)) % 0.51/0.72 (define @t39 () (_ @t34 @t2)) % 0.51/0.72 (define @t40 () (and @t6 @t39)) % 0.51/0.72 (define @t41 () (@list @t1)) % 0.51/0.72 (define @t42 () (exists @t41 @t40)) % 0.51/0.72 (define @t43 () (_ tptp.setunion @t2)) % 0.51/0.72 (define @t44 () (_ @t5 @t43)) % 0.51/0.72 (define @t45 () (= @t44 @t42)) % 0.51/0.72 (define @t46 () (@list @t2 @t4)) % 0.51/0.72 (define @t47 () (forall @t46 @t45)) % 0.51/0.72 (define @t48 () (= tptp.setunionAx @t47)) % 0.51/0.72 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.51/0.72 (define @t50 () (_ @t49 tptp.omega)) % 0.51/0.72 (define @t51 () (_ @t24 @t4)) % 0.51/0.72 (define @t52 () (_ tptp.in @t51)) % 0.51/0.72 (define @t53 () (_ @t52 tptp.omega)) % 0.51/0.72 (define @t54 () (_ @t5 tptp.omega)) % 0.51/0.72 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.51/0.72 (define @t56 () (= tptp.omegaSAx @t55)) % 0.51/0.72 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.51/0.72 (define @t58 () (_ @t52 @t2)) % 0.51/0.72 (define @t59 () (and @t54 @t7)) % 0.51/0.72 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.51/0.72 (define @t61 () (_ @t49 @t2)) % 0.51/0.72 (define @t62 () (and @t61 @t60)) % 0.51/0.72 (define @t63 () (=> @t62 @t57)) % 0.51/0.72 (define @t64 () (@list @t2)) % 0.51/0.72 (define @t65 () (forall @t64 @t63)) % 0.51/0.72 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.51/0.72 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.51/0.72 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.51/0.72 (define @t69 () (and @t21 @t68)) % 0.51/0.72 (define @t70 () (@list @t19)) % 0.51/0.72 (define @t71 () (exists @t70 @t69)) % 0.51/0.72 (define @t72 () (= @t6 @t71)) % 0.51/0.72 (define @t73 () (forall @t9 @t72)) % 0.51/0.72 (define @t74 () (exists @t41 @t73)) % 0.51/0.72 (define @t75 () (_ @t67 @t4)) % 0.51/0.72 (define @t76 () (_ @t75 @t19)) % 0.51/0.72 (define @t77 () (lambda @t70 @t76)) % 0.51/0.72 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.51/0.72 (define @t79 () (forall @t9 @t78)) % 0.51/0.72 (define @t80 () (=> @t79 @t74)) % 0.51/0.72 (define @t81 () (@list @t67 @t2)) % 0.51/0.72 (define @t82 () (forall @t81 @t80)) % 0.51/0.72 (define @t83 () (= tptp.replAx @t82)) % 0.51/0.72 (define @t84 () (and @t6 @t7)) % 0.51/0.72 (define @t85 () (exists @t9 @t84)) % 0.51/0.72 (define @t86 () (not @t85)) % 0.51/0.72 (define @t87 () (and @t39 @t86)) % 0.51/0.72 (define @t88 () (exists @t41 @t87)) % 0.51/0.72 (define @t89 () (exists @t9 @t7)) % 0.51/0.72 (define @t90 () (=> @t89 @t88)) % 0.51/0.72 (define @t91 () (forall @t64 @t90)) % 0.51/0.72 (define @t92 () (= tptp.foundationAx @t91)) % 0.51/0.72 (define @t93 () (@var "E" $$unsorted)) % 0.51/0.72 (define @t94 () (_ @t5 @t93)) % 0.51/0.72 (define @t95 () (@var "D" $$unsorted)) % 0.51/0.72 (define @t96 () (_ @t20 @t95)) % 0.51/0.72 (define @t97 () (_ @t20 @t93)) % 0.51/0.72 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.51/0.72 (define @t99 () (or @t98 @t94)) % 0.51/0.72 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.51/0.72 (define @t101 () (=> @t100 @t99)) % 0.51/0.72 (define @t102 () (@list @t93)) % 0.51/0.72 (define @t103 () (forall @t102 @t101)) % 0.51/0.72 (define @t104 () (@var "C" $$unsorted)) % 0.51/0.72 (define @t105 () (_ @t20 @t104)) % 0.51/0.72 (define @t106 () (and @t96 @t105)) % 0.51/0.72 (define @t107 () (exists @t70 @t106)) % 0.51/0.72 (define @t108 () (not @t107)) % 0.51/0.72 (define @t109 () (_ @t5 @t104)) % 0.51/0.72 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.51/0.72 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.51/0.72 (define @t112 () (@list @t95 @t4)) % 0.51/0.72 (define @t113 () (exists @t112 @t111)) % 0.51/0.72 (define @t114 () (exists @t9 @t109)) % 0.51/0.72 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.51/0.72 (define @t116 () (and @t115 @t114)) % 0.51/0.72 (define @t117 () (=> @t116 @t113)) % 0.51/0.72 (define @t118 () (@list @t104)) % 0.51/0.72 (define @t119 () (forall @t118 @t117)) % 0.51/0.72 (define @t120 () (_ @t5 @t95)) % 0.51/0.72 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.51/0.72 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.51/0.72 (define @t123 () (or @t122 @t121)) % 0.51/0.72 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.51/0.72 (define @t125 () (and @t124 @t110)) % 0.51/0.72 (define @t126 () (=> @t125 @t123)) % 0.51/0.72 (define @t127 () (@list @t104 @t95)) % 0.51/0.72 (define @t128 () (forall @t127 @t126)) % 0.51/0.72 (define @t129 () (= @t4 @t19)) % 0.51/0.72 (define @t130 () (= @t109 @t105)) % 0.51/0.72 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.51/0.72 (define @t132 () (=> @t131 @t129)) % 0.51/0.72 (define @t133 () (and @t7 @t21)) % 0.51/0.72 (define @t134 () (=> @t133 @t132)) % 0.51/0.72 (define @t135 () (@list @t4 @t19)) % 0.51/0.72 (define @t136 () (forall @t135 @t134)) % 0.51/0.72 (define @t137 () (=> @t124 @t115)) % 0.51/0.72 (define @t138 () (forall @t118 @t137)) % 0.51/0.72 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.51/0.72 (define @t140 () (exists @t41 @t139)) % 0.51/0.72 (define @t141 () (forall @t64 @t140)) % 0.51/0.72 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.51/0.72 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.51/0.72 (define @t144 () (_ @t143 @t4)) % 0.51/0.72 (define @t145 () (lambda @t9 @t144)) % 0.51/0.72 (define @t146 () (_ tptp.descr @t145)) % 0.51/0.72 (define @t147 () (_ @t143 @t146)) % 0.51/0.72 (define @t148 () (_ tptp.exu @t145)) % 0.51/0.72 (define @t149 () (=> @t148 @t147)) % 0.51/0.72 (define @t150 () (@list @t143)) % 0.51/0.72 (define @t151 () (forall @t150 @t149)) % 0.51/0.72 (define @t152 () (= tptp.descrp @t151)) % 0.51/0.72 (define @t153 () (_ @t143 @t19)) % 0.51/0.72 (define @t154 () (lambda @t70 @t153)) % 0.51/0.72 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.51/0.72 (define @t156 () (_ @t155 @t154)) % 0.51/0.72 (define @t157 () (_ @t5 @t156)) % 0.51/0.72 (define @t158 () (=> @t144 @t157)) % 0.51/0.72 (define @t159 () (@list @t2 @t143 @t4)) % 0.51/0.72 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.51/0.72 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.51/0.72 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.51/0.72 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.51/0.72 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.51/0.72 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.51/0.72 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.51/0.72 (define @t167 () (and @t144 @t166)) % 0.51/0.72 (define @t168 () (exists @t9 @t167)) % 0.51/0.72 (define @t169 () (=> @t148 @t168)) % 0.51/0.72 (define @t170 () (forall @t150 @t169)) % 0.51/0.72 (define @t171 () (= tptp.exuE1 @t170)) % 0.51/0.72 (define @t172 () (@var "Xphi" Bool)) % 0.51/0.72 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 0.51/0.72 (define @t174 () (@list @t172 @t4)) % 0.51/0.72 (define @t175 () (forall @t174 @t173)) % 0.51/0.72 (define @t176 () (= tptp.prop2setE @t175)) % 0.51/0.72 (define @t177 () (@list @t172)) % 0.51/0.72 (define @t178 () (forall @t177 @t172)) % 0.51/0.72 (define @t179 () (=> @t15 @t178)) % 0.51/0.72 (define @t180 () (forall @t9 @t179)) % 0.51/0.72 (define @t181 () (= tptp.emptysetE @t180)) % 0.51/0.72 (define @t182 () (forall @t9 (=> @t15 false))) % 0.51/0.72 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 0.51/0.72 (define @t184 () (exists @t9 @t144)) % 0.51/0.72 (define @t185 () (=> @t148 @t184)) % 0.51/0.72 (define @t186 () (forall @t150 @t185)) % 0.51/0.72 (define @t187 () (= tptp.exuE3e @t186)) % 0.51/0.72 (define @t188 () (=> @t32 @t3)) % 0.51/0.72 (define @t189 () (forall @t9 (=> @t7 @t6))) % 0.51/0.72 (define @t190 () (=> @t189 @t188)) % 0.51/0.72 (define @t191 () (forall @t12 @t190)) % 0.51/0.72 (define @t192 () (= tptp.setext @t191)) % 0.51/0.72 (define @t193 () (= @t2 tptp.emptyset)) % 0.51/0.72 (define @t194 () (not @t7)) % 0.51/0.72 (define @t195 () (forall @t9 @t194)) % 0.51/0.72 (define @t196 () (=> @t195 @t193)) % 0.51/0.72 (define @t197 () (forall @t64 @t196)) % 0.51/0.72 (define @t198 () (= tptp.emptyI @t197)) % 0.51/0.72 (define @t199 () (=> @t7 (= @t157 @t144))) % 0.51/0.72 (define @t200 () (forall @t159 @t199)) % 0.51/0.72 (define @t201 () (= tptp.setbeta @t200)) % 0.51/0.72 (define @t202 () (_ tptp.nonempty @t2)) % 0.51/0.72 (define @t203 () (=> @t202 @t89)) % 0.51/0.72 (define @t204 () (forall @t64 @t203)) % 0.51/0.72 (define @t205 () (= tptp.nonemptyE1 @t204)) % 0.51/0.72 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 0.51/0.72 (define @t207 () (=> @t7 @t206)) % 0.51/0.72 (define @t208 () (forall @t159 @t207)) % 0.51/0.72 (define @t209 () (= tptp.nonemptyI @t208)) % 0.51/0.72 (define @t210 () (=> @t89 @t202)) % 0.51/0.72 (define @t211 () (forall @t64 @t210)) % 0.51/0.72 (define @t212 () (= tptp.nonemptyI1 @t211)) % 0.51/0.72 (define @t213 () (_ @t24 @t19)) % 0.51/0.72 (define @t214 () (_ @t5 @t213)) % 0.51/0.72 (define @t215 () (forall @t135 @t214)) % 0.51/0.72 (define @t216 () (= tptp.setadjoinIL @t215)) % 0.51/0.72 (define @t217 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.51/0.72 (define @t218 () (_ @t49 @t217)) % 0.51/0.72 (define @t219 () (forall @t28 (=> @t21 @t26))) % 0.51/0.72 (define @t220 () (= tptp.setadjoinIR @t219)) % 0.51/0.72 (define @t221 () (=> @t21 @t172)) % 0.51/0.72 (define @t222 () (=> @t221 @t172)) % 0.51/0.72 (define @t223 () (=> @t22 @t172)) % 0.51/0.72 (define @t224 () (=> @t223 @t222)) % 0.51/0.72 (define @t225 () (forall @t177 @t224)) % 0.51/0.72 (define @t226 () (=> @t26 @t225)) % 0.51/0.72 (define @t227 () (forall @t28 @t226)) % 0.51/0.72 (define @t228 () (= tptp.setadjoinE @t227)) % 0.51/0.72 (define @t229 () (=> @t26 @t23)) % 0.51/0.72 (define @t230 () (forall @t28 @t229)) % 0.51/0.72 (define @t231 () (= tptp.setadjoinOr @t230)) % 0.51/0.72 (define @t232 () (lambda @t9 true)) % 0.51/0.72 (define @t233 () (= (_ @t155 @t232) @t2)) % 0.51/0.72 (define @t234 () (forall @t64 @t233)) % 0.51/0.72 (define @t235 () (= tptp.setoftrueEq @t234)) % 0.51/0.72 (define @t236 () (=> @t32 @t35)) % 0.51/0.72 (define @t237 () (forall @t12 @t236)) % 0.51/0.72 (define @t238 () (= tptp.powersetI @t237)) % 0.51/0.72 (define @t239 () (_ @t49 @t33)) % 0.51/0.72 (define @t240 () (forall @t64 @t239)) % 0.51/0.72 (define @t241 () (= tptp.emptyinPowerset @t240)) % 0.51/0.72 (define @t242 () (@list @t2 @t1 @t4)) % 0.51/0.72 (define @t243 () (forall @t242 (=> @t35 @t31))) % 0.51/0.72 (define @t244 () (=> tptp.emptyInPowerset @t243)) % 0.51/0.72 (define @t245 () (=> tptp.emptyinPowerset @t244)) % 0.51/0.72 (define @t246 () (=> tptp.powersetI @t245)) % 0.51/0.72 (define @t247 () (=> tptp.setoftrueEq @t246)) % 0.51/0.72 (define @t248 () (=> tptp.setadjoinOr @t247)) % 0.51/0.72 (define @t249 () (=> tptp.setadjoinE @t248)) % 0.51/0.72 (define @t250 () (=> tptp.setadjoinIR @t249)) % 0.51/0.72 (define @t251 () (=> tptp.emptyinunitempty @t250)) % 0.51/0.72 (define @t252 () (=> tptp.setadjoinIL @t251)) % 0.51/0.72 (define @t253 () (=> tptp.nonemptyI1 @t252)) % 0.51/0.72 (define @t254 () (=> tptp.nonemptyI @t253)) % 0.51/0.72 (define @t255 () (=> tptp.nonemptyE1 @t254)) % 0.51/0.72 (define @t256 () (=> tptp.setbeta @t255)) % 0.51/0.72 (define @t257 () (=> tptp.noeltsimpempty @t256)) % 0.51/0.72 (define @t258 () (=> tptp.emptyI @t257)) % 0.51/0.72 (define @t259 () (=> tptp.setext @t258)) % 0.51/0.72 (define @t260 () (=> tptp.exuE3e @t259)) % 0.51/0.72 (define @t261 () (=> tptp.notinemptyset @t260)) % 0.51/0.72 (define @t262 () (=> tptp.emptysetimpfalse @t261)) % 0.51/0.72 (define @t263 () (=> tptp.emptysetE @t262)) % 0.51/0.72 (define @t264 () (=> tptp.prop2setE @t263)) % 0.51/0.72 (define @t265 () (=> tptp.exuE1 @t264)) % 0.51/0.72 (define @t266 () (=> tptp.dsetconstrER @t265)) % 0.51/0.72 (define @t267 () (=> tptp.dsetconstrEL @t266)) % 0.51/0.72 (define @t268 () (=> tptp.dsetconstrI @t267)) % 0.51/0.72 (define @t269 () (=> tptp.descrp @t268)) % 0.51/0.72 (define @t270 () (=> tptp.wellorderingAx @t269)) % 0.51/0.72 (define @t271 () (=> tptp.foundationAx @t270)) % 0.51/0.72 (define @t272 () (=> tptp.replAx @t271)) % 0.51/0.72 (define @t273 () (=> tptp.omegaIndAx @t272)) % 0.51/0.72 (define @t274 () (=> tptp.omegaSAx @t273)) % 0.51/0.72 (define @t275 () (=> tptp.omega0Ax @t274)) % 0.51/0.72 (define @t276 () (=> tptp.setunionAx @t275)) % 0.51/0.72 (define @t277 () (=> tptp.powersetAx @t276)) % 0.51/0.72 (define @t278 () (=> tptp.setadjoinAx @t277)) % 0.51/0.72 (define @t279 () (=> tptp.emptysetAx @t278)) % 0.51/0.72 (define @t280 () (=> tptp.setextAx @t279)) % 0.51/0.72 (define @t281 () (not @t280)) % 0.51/0.72 (define @t282 () (lambda @t150 @t168)) % 0.51/0.72 (define @t283 () (lambda @t9 @t172)) % 0.51/0.72 (define @t284 () (_ tptp.powerset tptp.emptyset)) % 0.51/0.72 (define @t285 () (_ tptp.dsetconstr @t284)) % 0.51/0.72 (define @t286 () (_ @t285 @t283)) % 0.51/0.72 (define @t287 () (lambda @t177 @t286)) % 0.51/0.72 (define @t288 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.51/0.72 (define @t289 () (tptp.in @t4 @t2)) % 0.51/0.72 (define @t290 () (tptp.in @t4 @t1)) % 0.51/0.72 (define @t291 () (not @t290)) % 0.51/0.72 (define @t292 () (tptp.powerset @t2)) % 0.51/0.72 (define @t293 () (tptp.in @t1 @t292)) % 0.51/0.72 (define @t294 () (forall @t242 (or (not @t293) @t291 @t289))) % 0.51/0.72 (define @t295 () (tptp.in tptp.emptyset @t292)) % 0.51/0.72 (define @t296 () (forall @t64 @t295)) % 0.51/0.72 (define @t297 () (forall @t9 (or @t291 @t289))) % 0.51/0.72 (define @t298 () (not @t297)) % 0.51/0.72 (define @t299 () (@var "BOUND_VARIABLE_14943" $$unsorted)) % 0.51/0.72 (define @t300 () (lambda (@list @t299) true)) % 0.51/0.72 (define @t301 () (tptp.dsetconstr @t2 @t300)) % 0.51/0.72 (define @t302 () (tptp.in @t19 @t2)) % 0.51/0.72 (define @t303 () (tptp.setadjoin @t4 @t2)) % 0.51/0.72 (define @t304 () (tptp.in @t19 @t303)) % 0.51/0.72 (define @t305 () (forall @t28 (or (not @t304) @t129 @t302))) % 0.51/0.72 (define @t306 () (not @t302)) % 0.51/0.72 (define @t307 () (=> (forall @t28 (or @t306 @t304)) (=> @t305 (=> @t305 (=> (forall @t64 (= @t2 @t301)) (=> (forall @t12 (or @t298 @t293)) (=> @t296 (=> @t296 @t294)))))))) % 0.51/0.72 (define @t308 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.51/0.72 (define @t309 () (tptp.in tptp.emptyset @t308)) % 0.51/0.72 (define @t310 () (=> @t218 @t307)) % 0.51/0.72 (define @t311 () (tptp.setadjoin @t4 @t19)) % 0.51/0.72 (define @t312 () (tptp.in @t4 @t311)) % 0.51/0.72 (define @t313 () (forall @t135 @t312)) % 0.51/0.72 (define @t314 () (=> @t313 @t310)) % 0.51/0.72 (define @t315 () (@var "BOUND_VARIABLE_8498" $$unsorted)) % 0.51/0.72 (define @t316 () (not (tptp.in @t315 tptp.emptyset))) % 0.51/0.72 (define @t317 () (@list @t315)) % 0.51/0.72 (define @t318 () (forall @t317 @t316)) % 0.51/0.72 (define @t319 () (=> @t318 @t314)) % 0.51/0.72 (define @t320 () (tptp.dsetconstr @t2 @t143)) % 0.51/0.72 (define @t321 () (_ @t143 @t4)) % 0.51/0.72 (define @t322 () (not @t321)) % 0.51/0.72 (define @t323 () (not @t289)) % 0.51/0.72 (define @t324 () (forall @t159 (or @t323 @t322 (not (= tptp.emptyset @t320))))) % 0.51/0.72 (define @t325 () (=> @t324 @t319)) % 0.51/0.72 (define @t326 () (forall @t9 @t323)) % 0.51/0.72 (define @t327 () (not @t326)) % 0.51/0.72 (define @t328 () (forall @t64 (or @t193 @t327))) % 0.51/0.72 (define @t329 () (=> @t328 @t325)) % 0.51/0.72 (define @t330 () (tptp.in @t4 @t320)) % 0.51/0.72 (define @t331 () (forall @t159 (or @t323 (= @t321 @t330)))) % 0.51/0.72 (define @t332 () (=> @t331 @t329)) % 0.51/0.72 (define @t333 () (forall @t64 (or @t327 @t193))) % 0.51/0.72 (define @t334 () (=> @t333 @t332)) % 0.51/0.72 (define @t335 () (=> @t333 @t334)) % 0.51/0.72 (define @t336 () (forall @t9 (or @t323 @t290))) % 0.51/0.72 (define @t337 () (not @t336)) % 0.51/0.72 (define @t338 () (or @t337 @t298 @t3)) % 0.51/0.72 (define @t339 () (forall @t12 @t338)) % 0.51/0.72 (define @t340 () (=> @t339 @t335)) % 0.51/0.72 (define @t341 () (@var "BOUND_VARIABLE_8395" $$unsorted)) % 0.51/0.72 (define @t342 () (_ @t143 @t19)) % 0.51/0.72 (define @t343 () (not @t342)) % 0.51/0.72 (define @t344 () (not (_ @t143 @t341))) % 0.51/0.72 (define @t345 () (not (forall @t9 @t322))) % 0.51/0.72 (define @t346 () (@list @t143 @t341)) % 0.51/0.72 (define @t347 () (forall @t346 (or @t345 @t344 (not (forall @t70 (or @t343 (= @t19 @t341))))))) % 0.51/0.72 (define @t348 () (=> @t347 @t340)) % 0.51/0.72 (define @t349 () (tptp.in @t4 tptp.emptyset)) % 0.51/0.72 (define @t350 () (forall @t9 (not @t349))) % 0.51/0.72 (define @t351 () (=> @t350 @t348)) % 0.51/0.72 (define @t352 () (=> @t350 @t351)) % 0.51/0.72 (define @t353 () (=> @t350 @t352)) % 0.51/0.72 (define @t354 () (@var "BOUND_VARIABLE_14512" $$unsorted)) % 0.51/0.72 (define @t355 () (lambda (@list @t354) false)) % 0.51/0.72 (define @t356 () (tptp.powerset tptp.emptyset)) % 0.51/0.72 (define @t357 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t356 @t355))))) % 0.51/0.72 (define @t358 () (=> @t357 @t353)) % 0.51/0.72 (define @t359 () (not @t330)) % 0.51/0.72 (define @t360 () (forall @t159 (or @t359 @t321))) % 0.51/0.72 (define @t361 () (=> @t360 @t358)) % 0.51/0.72 (define @t362 () (forall @t159 (or @t359 @t289))) % 0.51/0.72 (define @t363 () (=> @t362 @t361)) % 0.51/0.72 (define @t364 () (forall @t159 (or @t323 @t322 @t330))) % 0.51/0.72 (define @t365 () (=> @t364 @t363)) % 0.51/0.72 (define @t366 () (@var "BOUND_VARIABLE_8266" $$unsorted)) % 0.51/0.72 (define @t367 () (not (_ @t143 @t366))) % 0.51/0.72 (define @t368 () (_ @t143 (tptp.descr @t143))) % 0.51/0.72 (define @t369 () (@list @t143 @t366)) % 0.51/0.72 (define @t370 () (forall @t369 (or @t368 @t367 (not (forall @t70 (or @t343 (= @t19 @t366))))))) % 0.51/0.72 (define @t371 () (=> @t370 @t365)) % 0.51/0.72 (define @t372 () (@var "BOUND_VARIABLE_8186" $$unsorted)) % 0.51/0.72 (define @t373 () (tptp.in @t372 @t95)) % 0.51/0.72 (define @t374 () (not (tptp.in @t372 @t93))) % 0.51/0.72 (define @t375 () (tptp.in @t4 @t93)) % 0.51/0.72 (define @t376 () (tptp.in @t93 @t1)) % 0.51/0.72 (define @t377 () (not @t376)) % 0.51/0.72 (define @t378 () (or @t377 @t375 @t374 @t373)) % 0.51/0.72 (define @t379 () (@list @t93 @t372)) % 0.51/0.72 (define @t380 () (forall @t379 @t378)) % 0.51/0.72 (define @t381 () (not @t380)) % 0.51/0.72 (define @t382 () (tptp.in @t19 @t104)) % 0.51/0.72 (define @t383 () (tptp.in @t19 @t95)) % 0.51/0.72 (define @t384 () (forall @t70 (or (not @t383) (not @t382)))) % 0.51/0.72 (define @t385 () (not @t384)) % 0.51/0.72 (define @t386 () (tptp.in @t4 @t104)) % 0.51/0.72 (define @t387 () (not @t386)) % 0.51/0.72 (define @t388 () (tptp.in @t95 @t1)) % 0.51/0.72 (define @t389 () (not @t388)) % 0.51/0.72 (define @t390 () (not (forall @t112 (or @t389 @t387 @t385 @t381)))) % 0.51/0.72 (define @t391 () (@var "BOUND_VARIABLE_8215" $$unsorted)) % 0.51/0.72 (define @t392 () (not (tptp.in @t391 @t104))) % 0.51/0.72 (define @t393 () (forall @t9 (or @t387 @t289))) % 0.51/0.72 (define @t394 () (not @t393)) % 0.51/0.72 (define @t395 () (or @t394 @t392 @t390)) % 0.51/0.72 (define @t396 () (forall (@list @t104 @t391) @t395)) % 0.51/0.72 (define @t397 () (not @t396)) % 0.51/0.72 (define @t398 () (@var "BOUND_VARIABLE_8138" $$unsorted)) % 0.51/0.72 (define @t399 () (tptp.in @t398 @t104)) % 0.51/0.72 (define @t400 () (not (tptp.in @t398 @t95))) % 0.51/0.72 (define @t401 () (@var "BOUND_VARIABLE_8132" $$unsorted)) % 0.51/0.72 (define @t402 () (tptp.in @t401 @t95)) % 0.51/0.72 (define @t403 () (not (tptp.in @t401 @t104))) % 0.51/0.72 (define @t404 () (tptp.in @t104 @t1)) % 0.51/0.72 (define @t405 () (not @t404)) % 0.51/0.72 (define @t406 () (or @t405 @t389 @t403 @t402 @t400 @t399)) % 0.51/0.72 (define @t407 () (@list @t104 @t95 @t401 @t398)) % 0.51/0.72 (define @t408 () (forall @t407 @t406)) % 0.51/0.72 (define @t409 () (not @t408)) % 0.51/0.72 (define @t410 () (forall @t118 (or @t405 (= @t386 @t382)))) % 0.51/0.72 (define @t411 () (not @t410)) % 0.51/0.72 (define @t412 () (forall @t135 (or @t323 @t306 @t411 @t129))) % 0.51/0.72 (define @t413 () (not @t412)) % 0.51/0.72 (define @t414 () (@var "BOUND_VARIABLE_8081" $$unsorted)) % 0.51/0.72 (define @t415 () (tptp.in @t414 @t2)) % 0.51/0.72 (define @t416 () (not (tptp.in @t414 @t104))) % 0.51/0.72 (define @t417 () (or @t405 @t416 @t415)) % 0.51/0.72 (define @t418 () (@list @t104 @t414)) % 0.51/0.72 (define @t419 () (forall @t418 @t417)) % 0.51/0.72 (define @t420 () (not @t419)) % 0.51/0.72 (define @t421 () (or @t420 @t413 @t409 @t397)) % 0.51/0.72 (define @t422 () (forall @t64 (not (forall @t41 @t421)))) % 0.51/0.72 (define @t423 () (=> @t422 @t371)) % 0.51/0.72 (define @t424 () (forall @t9 (or @t291 @t323))) % 0.51/0.72 (define @t425 () (not @t424)) % 0.51/0.72 (define @t426 () (tptp.in @t1 @t2)) % 0.51/0.72 (define @t427 () (not @t426)) % 0.51/0.72 (define @t428 () (not (forall @t41 (or @t427 @t425)))) % 0.51/0.72 (define @t429 () (@var "BOUND_VARIABLE_8056" $$unsorted)) % 0.51/0.72 (define @t430 () (not (tptp.in @t429 @t2))) % 0.51/0.72 (define @t431 () (or @t430 @t428)) % 0.51/0.72 (define @t432 () (forall (@list @t2 @t429) @t431)) % 0.51/0.72 (define @t433 () (=> @t432 @t423)) % 0.51/0.72 (define @t434 () (_ @t67 @t19 @t4)) % 0.51/0.72 (define @t435 () (not (forall @t70 (or @t306 (not @t434))))) % 0.51/0.72 (define @t436 () (forall @t9 (= @t290 @t435))) % 0.51/0.72 (define @t437 () (not (forall @t41 (not @t436)))) % 0.51/0.72 (define @t438 () (@var "BOUND_VARIABLE_7946" $$unsorted)) % 0.51/0.72 (define @t439 () (= @t19 @t438)) % 0.51/0.72 (define @t440 () (_ @t67 @t4 @t19)) % 0.51/0.72 (define @t441 () (not (forall @t70 (or (not @t440) @t439)))) % 0.51/0.72 (define @t442 () (_ @t67 @t4 @t438)) % 0.51/0.72 (define @t443 () (@list @t438)) % 0.51/0.72 (define @t444 () (not (forall @t443 (or (not @t442) @t441)))) % 0.51/0.72 (define @t445 () (forall @t9 (or @t323 @t444))) % 0.51/0.72 (define @t446 () (forall @t81 (or (not @t445) @t437))) % 0.51/0.72 (define @t447 () (=> @t446 @t433)) % 0.51/0.72 (define @t448 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 0.51/0.72 (define @t449 () (tptp.in @t448 @t2)) % 0.51/0.72 (define @t450 () (not (tptp.in @t448 tptp.omega))) % 0.51/0.72 (define @t451 () (tptp.setadjoin @t4 @t4)) % 0.51/0.72 (define @t452 () (tptp.in @t451 @t2)) % 0.51/0.72 (define @t453 () (tptp.in @t4 tptp.omega)) % 0.51/0.72 (define @t454 () (not @t453)) % 0.51/0.72 (define @t455 () (forall @t9 (or @t454 @t323 @t452))) % 0.51/0.72 (define @t456 () (not @t455)) % 0.51/0.72 (define @t457 () (tptp.in tptp.emptyset @t2)) % 0.51/0.72 (define @t458 () (not @t457)) % 0.51/0.72 (define @t459 () (or @t458 @t456 @t450 @t449)) % 0.51/0.72 (define @t460 () (@list @t2 @t448)) % 0.51/0.72 (define @t461 () (forall @t460 @t459)) % 0.51/0.72 (define @t462 () (=> @t461 @t447)) % 0.51/0.72 (define @t463 () (tptp.in @t451 tptp.omega)) % 0.51/0.72 (define @t464 () (forall @t9 (or @t454 @t463))) % 0.51/0.72 (define @t465 () (=> @t464 @t462)) % 0.51/0.72 (define @t466 () (tptp.in tptp.emptyset tptp.omega)) % 0.51/0.72 (define @t467 () (=> @t50 @t465)) % 0.51/0.72 (define @t468 () (tptp.setunion @t2)) % 0.51/0.72 (define @t469 () (tptp.in @t4 @t468)) % 0.51/0.72 (define @t470 () (not (forall @t41 (or @t291 @t427)))) % 0.51/0.72 (define @t471 () (forall @t46 (= @t470 @t469))) % 0.51/0.72 (define @t472 () (=> @t471 @t467)) % 0.51/0.72 (define @t473 () (forall @t12 (= @t297 @t293))) % 0.51/0.72 (define @t474 () (=> @t473 @t472)) % 0.51/0.72 (define @t475 () (or @t129 @t302)) % 0.51/0.72 (define @t476 () (forall @t28 (= @t304 @t475))) % 0.51/0.72 (define @t477 () (=> @t476 @t474)) % 0.51/0.72 (define @t478 () (=> @t350 @t477)) % 0.51/0.72 (define @t479 () (forall @t9 (= @t289 @t290))) % 0.51/0.72 (define @t480 () (forall @t12 (or (not @t479) @t3))) % 0.51/0.72 (define @t481 () (=> @t480 @t478)) % 0.51/0.72 (define @t482 () (=> @t360 (=> true @t358))) % 0.51/0.72 (define @t483 () (=> @t362 @t482)) % 0.51/0.72 (define @t484 () (=> @t364 @t483)) % 0.51/0.72 (define @t485 () (=> @t370 @t484)) % 0.51/0.72 (define @t486 () (=> @t422 @t485)) % 0.51/0.72 (define @t487 () (=> @t432 @t486)) % 0.51/0.72 (define @t488 () (=> @t446 @t487)) % 0.51/0.72 (define @t489 () (=> @t461 @t488)) % 0.51/0.72 (define @t490 () (=> @t464 @t489)) % 0.51/0.72 (define @t491 () (=> @t50 @t490)) % 0.51/0.72 (define @t492 () (=> @t471 @t491)) % 0.51/0.72 (define @t493 () (=> @t473 @t492)) % 0.51/0.72 (define @t494 () (=> @t476 @t493)) % 0.51/0.72 (define @t495 () (=> @t350 @t494)) % 0.51/0.72 (define @t496 () (=> @t480 @t495)) % 0.51/0.72 (define @t497 () (=> tptp.emptyInPowerset @t294)) % 0.51/0.72 (define @t498 () (=> tptp.emptyinPowerset @t497)) % 0.51/0.72 (define @t499 () (or @t298 @t35)) % 0.51/0.72 (define @t500 () (not @t6)) % 0.51/0.72 (define @t501 () (or @t500 @t7)) % 0.51/0.72 (define @t502 () (=> tptp.powersetI @t498)) % 0.51/0.72 (define @t503 () (_ @t155 @t300)) % 0.51/0.72 (define @t504 () (= @t2 @t503)) % 0.51/0.72 (define @t505 () (@list @t4)) % 0.51/0.72 (define @t506 () (=> tptp.setoftrueEq @t502)) % 0.51/0.72 (define @t507 () (not @t26)) % 0.51/0.72 (define @t508 () (or @t507 @t129 @t21)) % 0.51/0.72 (define @t509 () (or @t129 @t21)) % 0.51/0.72 (define @t510 () (=> tptp.setadjoinOr @t506)) % 0.51/0.72 (define @t511 () (or @t507 @t129 @t302)) % 0.51/0.72 (define @t512 () (not false)) % 0.51/0.72 (define @t513 () (and @t302 @t512)) % 0.51/0.72 (define @t514 () (and @t129 @t512)) % 0.51/0.72 (define @t515 () (or @t514 @t513)) % 0.51/0.72 (define @t516 () (or @t514 @t513 false)) % 0.51/0.72 (define @t517 () (not @t172)) % 0.51/0.72 (define @t518 () (and @t302 @t517)) % 0.51/0.72 (define @t519 () (and @t129 @t517)) % 0.51/0.72 (define @t520 () (not (= @t172 false))) % 0.51/0.72 (define @t521 () (or @t172 @t519 @t518 @t172)) % 0.51/0.72 (define @t522 () (or @t519 @t518 @t172)) % 0.51/0.72 (define @t523 () (and @t21 @t517)) % 0.51/0.72 (define @t524 () (or @t519 @t523 @t172)) % 0.51/0.72 (define @t525 () (=> @t129 @t172)) % 0.51/0.72 (define @t526 () (=> tptp.setadjoinE @t510)) % 0.51/0.72 (define @t527 () (not @t21)) % 0.51/0.72 (define @t528 () (or @t527 @t26)) % 0.51/0.72 (define @t529 () (=> tptp.setadjoinIR @t526)) % 0.51/0.72 (define @t530 () (=> tptp.emptyinunitempty @t529)) % 0.51/0.72 (define @t531 () (=> tptp.setadjoinIL @t530)) % 0.51/0.72 (define @t532 () (not (= tptp.emptyset tptp.emptyset))) % 0.51/0.72 (define @t533 () (or @t316 @t532)) % 0.51/0.72 (define @t534 () (not @t193)) % 0.51/0.72 (define @t535 () (not (tptp.in @t315 @t2))) % 0.51/0.72 (define @t536 () (or @t534 @t535 @t534)) % 0.51/0.72 (define @t537 () (or @t535 @t534)) % 0.51/0.72 (define @t538 () (forall @t64 @t537)) % 0.51/0.72 (define @t539 () (forall @t317 @t538)) % 0.51/0.72 (define @t540 () (forall (@list @t315 @t2) @t537)) % 0.51/0.72 (define @t541 () (forall (@list @t2 @t315) @t537)) % 0.51/0.72 (define @t542 () (forall @t317 @t537)) % 0.51/0.72 (define @t543 () (forall @t317 @t535)) % 0.51/0.72 (define @t544 () (or @t543 @t534)) % 0.51/0.72 (define @t545 () (not @t327)) % 0.51/0.72 (define @t546 () (_ @t288 @t2)) % 0.51/0.72 (define @t547 () (not @t195)) % 0.51/0.72 (define @t548 () (=> @t89 @t546)) % 0.51/0.72 (define @t549 () (forall @t64 @t548)) % 0.51/0.72 (define @t550 () (=> tptp.nonemptyI1 @t531)) % 0.51/0.72 (define @t551 () (lambda @t70 @t342)) % 0.51/0.72 (define @t552 () (tptp.dsetconstr @t2 @t551)) % 0.51/0.72 (define @t553 () (= tptp.emptyset @t552)) % 0.51/0.72 (define @t554 () (not @t553)) % 0.51/0.72 (define @t555 () (or @t323 @t322 @t554)) % 0.51/0.72 (define @t556 () (= tptp.emptyset @t156)) % 0.51/0.72 (define @t557 () (not @t556)) % 0.51/0.72 (define @t558 () (not @t144)) % 0.51/0.72 (define @t559 () (or @t194 @t558 @t557)) % 0.51/0.72 (define @t560 () (=> @t144 @t557)) % 0.51/0.72 (define @t561 () (not (= @t156 tptp.emptyset))) % 0.51/0.72 (define @t562 () (_ @t288 @t156)) % 0.51/0.72 (define @t563 () (=> @t144 @t562)) % 0.51/0.72 (define @t564 () (=> @t7 @t563)) % 0.51/0.72 (define @t565 () (forall @t159 @t564)) % 0.51/0.72 (define @t566 () (=> tptp.nonemptyI @t550)) % 0.51/0.72 (define @t567 () (=> @t546 @t89)) % 0.51/0.72 (define @t568 () (forall @t64 @t567)) % 0.51/0.72 (define @t569 () (=> tptp.nonemptyE1 @t566)) % 0.51/0.72 (define @t570 () (tptp.in @t4 @t552)) % 0.51/0.72 (define @t571 () (= @t321 @t570)) % 0.51/0.72 (define @t572 () (or @t323 @t571)) % 0.51/0.72 (define @t573 () (= @t144 @t157)) % 0.51/0.72 (define @t574 () (or @t194 @t573)) % 0.51/0.72 (define @t575 () (=> tptp.setbeta @t569)) % 0.51/0.72 (define @t576 () (=> tptp.noeltsimpempty @t575)) % 0.51/0.72 (define @t577 () (=> tptp.emptyI @t576)) % 0.51/0.72 (define @t578 () (=> @t297 @t3)) % 0.51/0.72 (define @t579 () (or @t194 @t6)) % 0.51/0.72 (define @t580 () (=> tptp.setext @t577)) % 0.51/0.72 (define @t581 () (or @t343 (= @t341 @t19))) % 0.51/0.72 (define @t582 () (forall @t70 @t581)) % 0.51/0.72 (define @t583 () (not @t582)) % 0.51/0.72 (define @t584 () (or @t345 @t344 @t583)) % 0.51/0.72 (define @t585 () (or @t344 @t583)) % 0.51/0.72 (define @t586 () (or @t585 @t345)) % 0.51/0.72 (define @t587 () (forall @t346 @t586)) % 0.51/0.72 (define @t588 () (@list @t341)) % 0.51/0.72 (define @t589 () (forall @t588 @t586)) % 0.51/0.72 (define @t590 () (forall @t588 @t585)) % 0.51/0.72 (define @t591 () (or @t590 @t345)) % 0.51/0.72 (define @t592 () (forall @t70 (or @t343 @t129))) % 0.51/0.72 (define @t593 () (not @t592)) % 0.51/0.72 (define @t594 () (forall @t9 (or @t322 @t593))) % 0.51/0.72 (define @t595 () (not @t594)) % 0.51/0.72 (define @t596 () (not @t595)) % 0.51/0.72 (define @t597 () (forall @t9 @t558)) % 0.51/0.72 (define @t598 () (not @t597)) % 0.51/0.72 (define @t599 () (or @t558 @t593)) % 0.51/0.72 (define @t600 () (not @t153)) % 0.51/0.72 (define @t601 () (or @t600 @t129)) % 0.51/0.72 (define @t602 () (_ @t145 @t19)) % 0.51/0.72 (define @t603 () (not @t602)) % 0.51/0.72 (define @t604 () (or @t603 @t129)) % 0.51/0.72 (define @t605 () (forall @t70 @t604)) % 0.51/0.72 (define @t606 () (not @t605)) % 0.51/0.72 (define @t607 () (_ @t145 @t4)) % 0.51/0.72 (define @t608 () (not @t607)) % 0.51/0.72 (define @t609 () (or @t608 @t606)) % 0.51/0.72 (define @t610 () (forall @t9 @t609)) % 0.51/0.72 (define @t611 () (not @t610)) % 0.51/0.72 (define @t612 () (lambda @t150 @t595)) % 0.51/0.72 (define @t613 () (_ @t612 @t145)) % 0.51/0.72 (define @t614 () (=> @t613 @t184)) % 0.51/0.72 (define @t615 () (forall @t150 @t614)) % 0.51/0.72 (define @t616 () (and @t144 @t592)) % 0.51/0.72 (define @t617 () (forall @t9 (not @t616))) % 0.51/0.72 (define @t618 () (not @t617)) % 0.51/0.72 (define @t619 () (=> tptp.exuE3e @t580)) % 0.51/0.72 (define @t620 () (=> tptp.notinemptyset @t619)) % 0.51/0.72 (define @t621 () (=> tptp.emptysetimpfalse @t620)) % 0.51/0.72 (define @t622 () (or @t172 @t172)) % 0.51/0.72 (define @t623 () (=> tptp.emptysetE @t621)) % 0.51/0.72 (define @t624 () (@var "BOUND_VARIABLE_8340" $$unsorted)) % 0.51/0.72 (define @t625 () (@list @t624)) % 0.51/0.72 (define @t626 () (lambda @t625 false)) % 0.51/0.72 (define @t627 () (@list @t624)) % 0.51/0.72 (define @t628 () (tptp.dsetconstr @t356 @t626)) % 0.51/0.72 (define @t629 () (tptp.in @t4 @t628)) % 0.51/0.72 (define @t630 () (not @t629)) % 0.51/0.72 (define @t631 () (or @t630 false)) % 0.51/0.72 (define @t632 () (lambda @t625 @t172)) % 0.51/0.72 (define @t633 () (tptp.dsetconstr @t356 @t632)) % 0.51/0.72 (define @t634 () (tptp.in @t4 @t633)) % 0.51/0.72 (define @t635 () (not @t634)) % 0.51/0.72 (define @t636 () (or @t172 @t635 @t172)) % 0.51/0.72 (define @t637 () (or @t635 @t172)) % 0.51/0.72 (define @t638 () (forall @t177 @t637)) % 0.51/0.72 (define @t639 () (forall @t9 @t638)) % 0.51/0.72 (define @t640 () (forall (@list @t4 @t172) @t637)) % 0.51/0.72 (define @t641 () (_ @t285 @t632)) % 0.51/0.72 (define @t642 () (_ @t5 @t641)) % 0.51/0.72 (define @t643 () (not @t642)) % 0.51/0.72 (define @t644 () (or @t643 @t172)) % 0.51/0.72 (define @t645 () (=> (_ @t5 @t286) @t172)) % 0.51/0.72 (define @t646 () (_ @t287 @t172)) % 0.51/0.72 (define @t647 () (=> (_ @t5 @t646) @t172)) % 0.51/0.72 (define @t648 () (forall @t174 @t647)) % 0.51/0.72 (define @t649 () (=> tptp.prop2setE @t623)) % 0.51/0.72 (define @t650 () (=> @t613 @t168)) % 0.51/0.72 (define @t651 () (forall @t150 @t650)) % 0.51/0.72 (define @t652 () (=> tptp.exuE1 @t649)) % 0.51/0.72 (define @t653 () (not @t570)) % 0.51/0.72 (define @t654 () (or @t653 @t321)) % 0.51/0.72 (define @t655 () (not @t157)) % 0.51/0.72 (define @t656 () (or @t655 @t144)) % 0.51/0.72 (define @t657 () (=> tptp.dsetconstrER @t652)) % 0.51/0.72 (define @t658 () (or @t653 @t289)) % 0.51/0.72 (define @t659 () (or @t655 @t7)) % 0.51/0.72 (define @t660 () (=> tptp.dsetconstrEL @t657)) % 0.51/0.72 (define @t661 () (or @t323 @t322 @t570)) % 0.51/0.72 (define @t662 () (or @t194 @t558 @t157)) % 0.51/0.72 (define @t663 () (=> tptp.dsetconstrI @t660)) % 0.51/0.72 (define @t664 () (or @t343 (= @t366 @t19))) % 0.51/0.72 (define @t665 () (forall @t70 @t664)) % 0.51/0.72 (define @t666 () (not @t665)) % 0.51/0.72 (define @t667 () (or @t368 @t367 @t666)) % 0.51/0.72 (define @t668 () (or @t367 @t666)) % 0.51/0.72 (define @t669 () (or @t668 @t368)) % 0.51/0.72 (define @t670 () (forall @t369 @t669)) % 0.51/0.72 (define @t671 () (@list @t366)) % 0.51/0.72 (define @t672 () (forall @t671 @t669)) % 0.51/0.72 (define @t673 () (forall @t671 @t668)) % 0.51/0.72 (define @t674 () (or @t673 @t368)) % 0.51/0.72 (define @t675 () (lambda @t9 @t321)) % 0.51/0.72 (define @t676 () (tptp.descr @t675)) % 0.51/0.72 (define @t677 () (_ @t143 @t676)) % 0.51/0.72 (define @t678 () (or @t594 @t677)) % 0.51/0.72 (define @t679 () (or @t594 @t147)) % 0.51/0.72 (define @t680 () (=> @t613 @t147)) % 0.51/0.72 (define @t681 () (forall @t150 @t680)) % 0.51/0.72 (define @t682 () (=> tptp.descrp @t663)) % 0.51/0.72 (define @t683 () (and @t419 @t412 @t408 @t396)) % 0.51/0.72 (define @t684 () (forall @t41 (not @t683))) % 0.51/0.72 (define @t685 () (not @t684)) % 0.51/0.72 (define @t686 () (@list @t391)) % 0.51/0.72 (define @t687 () (forall @t686 @t395)) % 0.51/0.72 (define @t688 () (forall @t686 @t392)) % 0.51/0.72 (define @t689 () (or @t394 @t688 @t390)) % 0.51/0.72 (define @t690 () (forall @t9 @t387)) % 0.51/0.72 (define @t691 () (or @t394 @t690 @t390)) % 0.51/0.72 (define @t692 () (not @t690)) % 0.51/0.72 (define @t693 () (and @t393 @t692)) % 0.51/0.72 (define @t694 () (not @t109)) % 0.51/0.72 (define @t695 () (not @t110)) % 0.51/0.72 (define @t696 () (or @t695 @t694 @t385 @t381)) % 0.51/0.72 (define @t697 () (and @t110 @t109 @t384 @t380)) % 0.51/0.72 (define @t698 () (forall @t112 (not @t697))) % 0.51/0.72 (define @t699 () (not @t698)) % 0.51/0.72 (define @t700 () (or @t374 @t373)) % 0.51/0.72 (define @t701 () (or @t377 @t700 @t375)) % 0.51/0.72 (define @t702 () (forall @t379 @t701)) % 0.51/0.72 (define @t703 () (@list @t372)) % 0.51/0.72 (define @t704 () (forall @t703 @t701)) % 0.51/0.72 (define @t705 () (forall @t703 @t700)) % 0.51/0.72 (define @t706 () (or @t377 @t705 @t375)) % 0.51/0.72 (define @t707 () (tptp.in @t19 @t93)) % 0.51/0.72 (define @t708 () (forall @t70 (or (not @t707) @t383))) % 0.51/0.72 (define @t709 () (not @t100)) % 0.51/0.72 (define @t710 () (or @t709 @t708 @t94)) % 0.51/0.72 (define @t711 () (or @t708 @t94)) % 0.51/0.72 (define @t712 () (not @t97)) % 0.51/0.72 (define @t713 () (or @t712 @t96)) % 0.51/0.72 (define @t714 () (not @t105)) % 0.51/0.72 (define @t715 () (not @t96)) % 0.51/0.72 (define @t716 () (or @t715 @t714)) % 0.51/0.72 (define @t717 () (forall @t70 (not @t106))) % 0.51/0.72 (define @t718 () (not @t717)) % 0.51/0.72 (define @t719 () (forall @t9 @t694)) % 0.51/0.72 (define @t720 () (not @t719)) % 0.51/0.72 (define @t721 () (or @t694 @t7)) % 0.51/0.72 (define @t722 () (or @t400 @t399)) % 0.51/0.72 (define @t723 () (or @t403 @t402)) % 0.51/0.72 (define @t724 () (or @t405 @t389 @t723 @t722)) % 0.51/0.72 (define @t725 () (forall @t407 @t724)) % 0.51/0.72 (define @t726 () (forall (@list @t401 @t398) @t724)) % 0.51/0.72 (define @t727 () (forall (@list @t398) @t722)) % 0.51/0.72 (define @t728 () (forall (@list @t401) @t723)) % 0.51/0.72 (define @t729 () (or @t405 @t389 @t728 @t727)) % 0.51/0.72 (define @t730 () (tptp.in @t4 @t95)) % 0.51/0.72 (define @t731 () (forall @t9 (or (not @t730) @t386))) % 0.51/0.72 (define @t732 () (forall @t9 (or @t387 @t730))) % 0.51/0.72 (define @t733 () (not @t124)) % 0.51/0.72 (define @t734 () (or @t733 @t695 @t732 @t731)) % 0.51/0.72 (define @t735 () (or @t732 @t731)) % 0.51/0.72 (define @t736 () (not @t120)) % 0.51/0.72 (define @t737 () (or @t736 @t109)) % 0.51/0.72 (define @t738 () (or @t694 @t120)) % 0.51/0.72 (define @t739 () (or @t194 @t527 @t411 @t129)) % 0.51/0.72 (define @t740 () (=> @t410 @t129)) % 0.51/0.72 (define @t741 () (or @t733 @t130)) % 0.51/0.72 (define @t742 () (or @t416 @t415)) % 0.51/0.72 (define @t743 () (or @t405 @t742)) % 0.51/0.72 (define @t744 () (forall @t418 @t743)) % 0.51/0.72 (define @t745 () (@list @t414)) % 0.51/0.72 (define @t746 () (forall @t745 @t743)) % 0.51/0.72 (define @t747 () (forall @t745 @t742)) % 0.51/0.72 (define @t748 () (or @t405 @t747)) % 0.51/0.72 (define @t749 () (or @t733 @t393)) % 0.51/0.72 (define @t750 () (=> tptp.wellorderingAx @t682)) % 0.51/0.72 (define @t751 () (@list @t429)) % 0.51/0.72 (define @t752 () (forall @t751 @t431)) % 0.51/0.72 (define @t753 () (forall @t751 @t430)) % 0.51/0.72 (define @t754 () (or @t753 @t428)) % 0.51/0.72 (define @t755 () (not @t39)) % 0.51/0.72 (define @t756 () (or @t755 @t425)) % 0.51/0.72 (define @t757 () (and @t39 @t424)) % 0.51/0.72 (define @t758 () (forall @t41 (not @t757))) % 0.51/0.72 (define @t759 () (not @t758)) % 0.51/0.72 (define @t760 () (or @t500 @t194)) % 0.51/0.72 (define @t761 () (forall @t9 (not @t84))) % 0.51/0.72 (define @t762 () (not @t761)) % 0.51/0.72 (define @t763 () (=> tptp.foundationAx @t750)) % 0.51/0.72 (define @t764 () (= @t6 @t435)) % 0.51/0.72 (define @t765 () (not @t68)) % 0.51/0.72 (define @t766 () (or @t527 @t765)) % 0.51/0.72 (define @t767 () (forall @t70 (not @t69))) % 0.51/0.72 (define @t768 () (not @t767)) % 0.51/0.72 (define @t769 () (or @t194 @t444)) % 0.51/0.72 (define @t770 () (_ @t75 @t438)) % 0.51/0.72 (define @t771 () (not @t770)) % 0.51/0.72 (define @t772 () (or @t771 @t441)) % 0.51/0.72 (define @t773 () (not @t76)) % 0.51/0.72 (define @t774 () (or @t773 @t439)) % 0.51/0.72 (define @t775 () (_ @t77 @t19)) % 0.51/0.72 (define @t776 () (not @t775)) % 0.51/0.72 (define @t777 () (or @t776 @t439)) % 0.51/0.72 (define @t778 () (forall @t70 @t777)) % 0.51/0.72 (define @t779 () (not @t778)) % 0.51/0.72 (define @t780 () (_ @t77 @t438)) % 0.51/0.72 (define @t781 () (not @t780)) % 0.51/0.72 (define @t782 () (or @t781 @t779)) % 0.51/0.72 (define @t783 () (forall @t443 @t782)) % 0.51/0.72 (define @t784 () (not @t783)) % 0.51/0.72 (define @t785 () (not (_ @t143 @t438))) % 0.51/0.72 (define @t786 () (or @t343 (= @t438 @t19))) % 0.51/0.72 (define @t787 () (forall @t70 @t786)) % 0.51/0.72 (define @t788 () (not @t787)) % 0.51/0.72 (define @t789 () (or @t785 @t788)) % 0.51/0.72 (define @t790 () (forall @t443 @t789)) % 0.51/0.72 (define @t791 () (not @t790)) % 0.51/0.72 (define @t792 () (=> @t7 (_ @t612 @t77))) % 0.51/0.72 (define @t793 () (forall @t9 @t792)) % 0.51/0.72 (define @t794 () (=> @t793 @t74)) % 0.51/0.72 (define @t795 () (forall @t81 @t794)) % 0.51/0.72 (define @t796 () (=> tptp.replAx @t763)) % 0.51/0.72 (define @t797 () (or @t450 @t449)) % 0.51/0.72 (define @t798 () (or @t458 @t456 @t797)) % 0.51/0.72 (define @t799 () (forall @t460 @t798)) % 0.51/0.72 (define @t800 () (@list @t448)) % 0.51/0.72 (define @t801 () (forall @t800 @t798)) % 0.51/0.72 (define @t802 () (forall @t800 @t797)) % 0.51/0.72 (define @t803 () (or @t458 @t456 @t802)) % 0.51/0.72 (define @t804 () (forall @t9 (or @t454 @t289))) % 0.51/0.72 (define @t805 () (not @t61)) % 0.51/0.72 (define @t806 () (or @t805 @t456 @t804)) % 0.51/0.72 (define @t807 () (and @t61 @t455)) % 0.51/0.72 (define @t808 () (not @t54)) % 0.51/0.72 (define @t809 () (or @t808 @t7)) % 0.51/0.72 (define @t810 () (_ tptp.in @t451)) % 0.51/0.72 (define @t811 () (or @t808 @t194 @t58)) % 0.51/0.72 (define @t812 () (=> tptp.omegaIndAx @t796)) % 0.51/0.72 (define @t813 () (or @t808 @t53)) % 0.51/0.72 (define @t814 () (=> tptp.omegaSAx @t812)) % 0.51/0.72 (define @t815 () (=> tptp.omega0Ax @t814)) % 0.51/0.72 (define @t816 () (= @t44 @t470)) % 0.51/0.72 (define @t817 () (or @t500 @t755)) % 0.51/0.72 (define @t818 () (forall @t41 (not @t40))) % 0.51/0.72 (define @t819 () (not @t818)) % 0.51/0.72 (define @t820 () (=> tptp.setunionAx @t815)) % 0.51/0.72 (define @t821 () (= @t35 @t297)) % 0.51/0.72 (define @t822 () (=> tptp.powersetAx @t820)) % 0.51/0.72 (define @t823 () (= @t26 @t509)) % 0.51/0.72 (define @t824 () (=> tptp.setadjoinAx @t822)) % 0.51/0.72 (define @t825 () (=> tptp.emptysetAx @t824)) % 0.51/0.72 (define @t826 () (=> tptp.setextAx @t825)) % 0.51/0.72 (define @t827 () (not @t35)) % 0.51/0.72 (define @t828 () (or @t827 @t500 @t7)) % 0.51/0.72 (define @t829 () (@quantifiers_skolemize @t294 0)) % 0.51/0.72 (define @t830 () (@quantifiers_skolemize @t294 1)) % 0.51/0.72 (define @t831 () (forall @t9 (or (not (tptp.in @t4 @t830)) (tptp.in @t4 @t829)))) % 0.51/0.72 (define @t832 () (tptp.in @t830 (tptp.powerset @t829))) % 0.51/0.72 (define @t833 () (= @t831 @t832)) % 0.51/0.72 (define @t834 () (= @t832 @t831)) % 0.51/0.72 (define @t835 () (@quantifiers_skolemize @t294 2)) % 0.51/0.72 (define @t836 () (tptp.in @t835 @t829)) % 0.51/0.72 (define @t837 () (tptp.in @t835 @t830)) % 0.51/0.72 (define @t838 () (not @t837)) % 0.51/0.72 (define @t839 () (not @t832)) % 0.51/0.72 (define @t840 () (or @t839 @t838 @t836)) % 0.51/0.72 (define @t841 () (@list true)) % 0.51/0.72 (define @t842 () (@list @t840)) % 0.51/0.72 (define @t843 () (or @t838 @t836)) % 0.51/0.72 (define @t844 () (not @t843)) % 0.51/0.72 (assume @p1 @t14) % 0.51/0.72 (assume @p2 @t18) % 0.51/0.72 (assume @p3 @t30) % 0.51/0.72 (assume @p4 @t38) % 0.51/0.72 (assume @p5 @t48) % 0.51/0.72 (assume @p6 (= tptp.omega0Ax @t50)) % 0.51/0.72 (assume @p7 @t56) % 0.51/0.72 (assume @p8 @t66) % 0.51/0.72 (assume @p9 @t83) % 0.51/0.72 (assume @p10 @t92) % 0.51/0.72 (assume @p11 @t142) % 0.51/0.72 (assume @p12 @t152) % 0.51/0.72 (assume @p13 @t161) % 0.51/0.72 (assume @p14 @t163) % 0.51/0.72 (assume @p15 @t165) % 0.51/0.72 (assume @p16 @t171) % 0.51/0.72 (assume @p17 @t176) % 0.51/0.72 (assume @p18 @t181) % 0.51/0.72 (assume @p19 @t183) % 0.51/0.72 (assume @p20 (= tptp.notinemptyset @t17)) % 0.51/0.72 (assume @p21 @t187) % 0.51/0.72 (assume @p22 @t192) % 0.51/0.72 (assume @p23 @t198) % 0.51/0.72 (assume @p24 (= tptp.noeltsimpempty @t197)) % 0.51/0.72 (assume @p25 @t201) % 0.51/0.72 (assume @p26 @t205) % 0.51/0.72 (assume @p27 @t209) % 0.51/0.72 (assume @p28 @t212) % 0.51/0.72 (assume @p29 @t216) % 0.51/0.72 (assume @p30 (= tptp.emptyinunitempty @t218)) % 0.51/0.72 (assume @p31 @t220) % 0.51/0.72 (assume @p32 @t228) % 0.51/0.72 (assume @p33 @t231) % 0.51/0.72 (assume @p34 @t235) % 0.51/0.72 (assume @p35 @t238) % 0.51/0.72 (assume @p36 @t241) % 0.51/0.72 (assume @p37 (= tptp.emptyInPowerset @t240)) % 0.51/0.72 (assume @p38 @t281) % 0.51/0.72 (assume @p39 true) % 0.51/0.72 (step @p40 (= tptp.exu @t282) :rule refl :args (@t282)) % 0.51/0.72 (step @p41 (= tptp.prop2set @t287) :rule refl :args (@t287)) % 0.51/0.72 (step @p42 (= tptp.nonempty @t288) :rule refl :args (@t288)) % 0.51/0.72 (step @p43 :rule refl :args (@t307)) % 0.51/0.72 (step @p44 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.51/0.72 (step @p45 :rule refl :args (@t308)) % 0.51/0.72 (step @p46 :rule refl :args (tptp.emptyset)) % 0.51/0.72 (step @p47 :rule cong :premises (@p46 @p45) :args (@t309)) % 0.51/0.72 (step @p48 :rule trans :premises (@p47 @p44)) % 0.51/0.72 (step @p49 :rule refl :args (@t49)) % 0.51/0.72 (step @p50 :rule ho_cong :premises (@p49 @p45)) % 0.51/0.72 (step @p51 :rule cong :premises (@p50 @p48) :args ((= (_ @t49 @t308) @t309))) % 0.51/0.72 (step @p52 :rule symm :premises (@p51)) % 0.51/0.72 (step @p53 :rule refl :args (@t218)) % 0.51/0.72 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.51/0.72 (step @p55 :rule refl :args (@t217)) % 0.51/0.72 (step @p56 :rule cong :premises (@p55 @p45) :args ((= @t217 @t308))) % 0.51/0.72 (step @p57 :rule symm :premises (@p56)) % 0.51/0.72 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.51/0.72 (step @p59 :rule refl :args (@t49)) % 0.51/0.72 (step @p60 :rule ho_cong :premises (@p59 @p58)) % 0.51/0.72 (step @p61 :rule trans :premises (@p60 @p54)) % 0.51/0.72 (step @p62 :rule cong :premises (@p61 @p43) :args (@t310)) % 0.51/0.72 (step @p63 :rule refl :args (@t313)) % 0.51/0.72 (step @p64 :rule cong :premises (@p63 @p62) :args (@t314)) % 0.51/0.72 (step @p65 :rule refl :args (@t318)) % 0.51/0.72 (step @p66 :rule cong :premises (@p65 @p64) :args (@t319)) % 0.51/0.72 (step @p67 :rule refl :args (@t324)) % 0.51/0.72 (step @p68 :rule cong :premises (@p67 @p66) :args (@t325)) % 0.51/0.72 (step @p69 :rule refl :args (@t328)) % 0.51/0.72 (step @p70 :rule cong :premises (@p69 @p68) :args (@t329)) % 0.51/0.72 (step @p71 :rule refl :args (@t331)) % 0.51/0.72 (step @p72 :rule cong :premises (@p71 @p70) :args (@t332)) % 0.51/0.72 (step @p73 :rule refl :args (@t333)) % 0.51/0.72 (step @p74 :rule cong :premises (@p73 @p72) :args (@t334)) % 0.51/0.72 (step @p75 :rule cong :premises (@p73 @p74) :args (@t335)) % 0.51/0.72 (step @p76 :rule refl :args (@t339)) % 0.51/0.72 (step @p77 :rule cong :premises (@p76 @p75) :args (@t340)) % 0.51/0.72 (step @p78 :rule refl :args (@t347)) % 0.51/0.72 (step @p79 :rule cong :premises (@p78 @p77) :args (@t348)) % 0.51/0.72 (step @p80 :rule refl :args (@t350)) % 0.51/0.72 (step @p81 :rule cong :premises (@p80 @p79) :args (@t351)) % 0.51/0.72 (step @p82 :rule cong :premises (@p80 @p81) :args (@t352)) % 0.51/0.72 (step @p83 :rule cong :premises (@p80 @p82) :args (@t353)) % 0.51/0.72 (step @p84 :rule refl :args (@t357)) % 0.51/0.72 (step @p85 :rule cong :premises (@p84 @p83) :args (@t358)) % 0.51/0.72 (step @p86 :rule refl :args (@t360)) % 0.51/0.72 (step @p87 :rule cong :premises (@p86 @p85) :args (@t361)) % 0.51/0.72 (step @p88 :rule refl :args (@t362)) % 0.51/0.72 (step @p89 :rule cong :premises (@p88 @p87) :args (@t363)) % 0.51/0.72 (step @p90 :rule refl :args (@t364)) % 0.51/0.72 (step @p91 :rule cong :premises (@p90 @p89) :args (@t365)) % 0.51/0.72 (step @p92 :rule refl :args (@t370)) % 0.51/0.72 (step @p93 :rule cong :premises (@p92 @p91) :args (@t371)) % 0.51/0.72 (step @p94 :rule refl :args (@t422)) % 0.51/0.72 (step @p95 :rule cong :premises (@p94 @p93) :args (@t423)) % 0.51/0.72 (step @p96 :rule refl :args (@t432)) % 0.51/0.72 (step @p97 :rule cong :premises (@p96 @p95) :args (@t433)) % 0.51/0.72 (step @p98 :rule refl :args (@t446)) % 0.51/0.72 (step @p99 :rule cong :premises (@p98 @p97) :args (@t447)) % 0.51/0.72 (step @p100 :rule refl :args (@t461)) % 0.51/0.72 (step @p101 :rule cong :premises (@p100 @p99) :args (@t462)) % 0.51/0.72 (step @p102 :rule refl :args (@t464)) % 0.51/0.72 (step @p103 :rule cong :premises (@p102 @p101) :args (@t465)) % 0.51/0.72 (step @p104 :rule refl :args (@t466)) % 0.51/0.72 (step @p105 :rule refl :args (@t50)) % 0.51/0.72 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t50 @t466))) % 0.51/0.72 (step @p107 :rule symm :premises (@p106)) % 0.51/0.72 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.51/0.72 (step @p109 :rule cong :premises (@p108 @p103) :args (@t467)) % 0.51/0.72 (step @p110 :rule refl :args (@t471)) % 0.51/0.72 (step @p111 :rule cong :premises (@p110 @p109) :args (@t472)) % 0.51/0.72 (step @p112 :rule refl :args (@t473)) % 0.51/0.72 (step @p113 :rule cong :premises (@p112 @p111) :args (@t474)) % 0.51/0.72 (step @p114 :rule refl :args (@t476)) % 0.51/0.72 (step @p115 :rule cong :premises (@p114 @p113) :args (@t477)) % 0.51/0.72 (step @p116 :rule cong :premises (@p80 @p115) :args (@t478)) % 0.51/0.72 (step @p117 :rule refl :args (@t480)) % 0.51/0.72 (step @p118 :rule cong :premises (@p117 @p116) :args (@t481)) % 0.51/0.72 (step @p119 :rule cong :premises (@p118) :args ((not @t481))) % 0.51/0.72 (step @p120 :rule bool-impl-true2 :args (@t358)) % 0.51/0.72 (step @p121 :rule cong :premises (@p86 @p120) :args (@t482)) % 0.51/0.72 (step @p122 :rule cong :premises (@p88 @p121) :args (@t483)) % 0.51/0.72 (step @p123 :rule cong :premises (@p90 @p122) :args (@t484)) % 0.51/0.72 (step @p124 :rule cong :premises (@p92 @p123) :args (@t485)) % 0.51/0.72 (step @p125 :rule cong :premises (@p94 @p124) :args (@t486)) % 0.51/0.72 (step @p126 :rule cong :premises (@p96 @p125) :args (@t487)) % 0.51/0.72 (step @p127 :rule cong :premises (@p98 @p126) :args (@t488)) % 0.51/0.72 (step @p128 :rule cong :premises (@p100 @p127) :args (@t489)) % 0.51/0.72 (step @p129 :rule cong :premises (@p102 @p128) :args (@t490)) % 0.51/0.72 (step @p130 :rule refl :args (@t50)) % 0.51/0.72 (step @p131 :rule cong :premises (@p130 @p129) :args (@t491)) % 0.51/0.72 (step @p132 :rule cong :premises (@p110 @p131) :args (@t492)) % 0.51/0.72 (step @p133 :rule cong :premises (@p112 @p132) :args (@t493)) % 0.51/0.72 (step @p134 :rule cong :premises (@p114 @p133) :args (@t494)) % 0.51/0.72 (step @p135 :rule cong :premises (@p80 @p134) :args (@t495)) % 0.51/0.72 (step @p136 :rule cong :premises (@p117 @p135) :args (@t496)) % 0.51/0.72 (step @p137 :rule cong :premises (@p136) :args ((not @t496))) % 0.51/0.72 (step @p138 :rule refl :args (@t294)) % 0.51/0.72 (step @p139 :rule eq-symm :args (@t296 tptp.emptyInPowerset)) % 0.51/0.72 (step @p140 :rule refl :args (tptp.emptyInPowerset)) % 0.51/0.72 (step @p141 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 0.51/0.72 (step @p142 :rule refl :args (@t292)) % 0.51/0.72 (step @p143 :rule cong :premises (@p46 @p142) :args (@t295)) % 0.51/0.72 (step @p144 :rule trans :premises (@p143 @p141)) % 0.51/0.72 (step @p145 :rule ho_cong :premises (@p49 @p142)) % 0.51/0.72 (step @p146 :rule cong :premises (@p145 @p144) :args ((= (_ @t49 @t292) @t295))) % 0.51/0.72 (step @p147 :rule symm :premises (@p146)) % 0.51/0.72 (step @p148 :rule refl :args (@t239)) % 0.51/0.72 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.51/0.72 (step @p150 :rule refl :args (@t33)) % 0.51/0.72 (step @p151 :rule cong :premises (@p150 @p142) :args ((= @t33 @t292))) % 0.51/0.72 (step @p152 :rule symm :premises (@p151)) % 0.51/0.72 (step @p153 :rule eq_resolve :premises (@p150 @p152)) % 0.51/0.72 (step @p154 :rule ho_cong :premises (@p49 @p153)) % 0.51/0.72 (step @p155 :rule trans :premises (@p154 @p149)) % 0.51/0.72 (step @p156 :rule cong :premises (@p155) :args (@t240)) % 0.51/0.72 (step @p157 :rule cong :premises (@p156 @p140) :args ((= @t240 tptp.emptyInPowerset))) % 0.51/0.72 (step @p158 :rule trans :premises (@p157 @p139)) % 0.51/0.72 (step @p159 :rule eq-symm :args (tptp.emptyInPowerset @t240)) % 0.51/0.72 (step @p160 :rule trans :premises (@p159 @p158)) % 0.51/0.72 (step @p161 :rule eq_resolve :premises (@p37 @p160)) % 0.51/0.72 (step @p162 :rule cong :premises (@p161 @p138) :args (@t497)) % 0.51/0.72 (step @p163 :rule refl :args (tptp.emptyinPowerset)) % 0.51/0.72 (step @p164 :rule cong :premises (@p163 @p156) :args (@t241)) % 0.51/0.72 (step @p165 :rule eq_resolve :premises (@p36 @p164)) % 0.51/0.72 (step @p166 :rule cong :premises (@p165 @p162) :args (@t498)) % 0.51/0.72 (step @p167 :rule refl :args ((tptp.in @t1 @t33))) % 0.51/0.72 (step @p168 :rule refl :args (@t1)) % 0.51/0.72 (step @p169 :rule cong :premises (@p168 @p142) :args (@t293)) % 0.51/0.72 (step @p170 :rule trans :premises (@p169 @p167)) % 0.51/0.72 (step @p171 :rule refl :args (@t34)) % 0.51/0.72 (step @p172 :rule ho_cong :premises (@p171 @p142)) % 0.51/0.72 (step @p173 :rule cong :premises (@p172 @p170) :args ((= (_ @t34 @t292) @t293))) % 0.51/0.72 (step @p174 :rule symm :premises (@p173)) % 0.51/0.72 (step @p175 :rule refl :args (@t35)) % 0.51/0.72 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.51/0.72 (step @p177 :rule ho_cong :premises (@p171 @p153)) % 0.51/0.72 (step @p178 :rule trans :premises (@p177 @p176)) % 0.51/0.72 (step @p179 :rule refl :args (@t298)) % 0.51/0.72 (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t499)) % 0.51/0.72 (step @p181 :rule cong :premises (@p180) :args ((forall @t12 @t499))) % 0.51/0.72 (step @p182 :rule bool-impl-elim :args (@t297 @t35)) % 0.51/0.72 (step @p183 :rule cong :premises (@p182) :args ((forall @t12 (=> @t297 @t35)))) % 0.51/0.72 (step @p184 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:rule cong :premises (@p1421 @p1563) :args (@t273)) % 0.51/0.73 (step @p1565 :rule cong :premises (@p1441 @p1564) :args (@t274)) % 0.51/0.73 (step @p1566 :rule refl :args (tptp.omega0Ax)) % 0.51/0.73 (step @p1567 :rule cong :premises (@p1566 @p1565) :args (@t275)) % 0.51/0.73 (step @p1568 :rule cong :premises (@p1479 @p1567) :args (@t276)) % 0.51/0.73 (step @p1569 :rule cong :premises (@p1492 @p1568) :args (@t277)) % 0.51/0.73 (step @p1570 :rule cong :premises (@p1502 @p1569) :args (@t278)) % 0.51/0.73 (step @p1571 :rule cong :premises (@p1506 @p1570) :args (@t279)) % 0.51/0.73 (step @p1572 :rule cong :premises (@p1517 @p1571) :args (@t280)) % 0.51/0.73 (step @p1573 :rule cong :premises (@p1572) :args (@t281)) % 0.51/0.73 (step @p1574 :rule trans :premises (@p1573 @p1522 @p119)) % 0.51/0.73 (step @p1575 :rule eq_resolve :premises (@p38 @p1574)) % 0.51/0.73 (step @p1576 :rule not_implies_elim2 :premises (@p1575)) % 0.51/0.73 (step @p1577 :rule not_implies_elim2 :premises (@p1576)) % 0.51/0.73 (step @p1578 :rule not_implies_elim2 :premises (@p1577)) % 0.51/0.73 (step @p1579 :rule not_implies_elim1 :premises (@p1578)) % 0.51/0.73 (step @p1580 :rule eq-symm :args (@t831 @t832)) % 0.51/0.73 (step @p1581 :rule cong :premises (@p112 @p1580) :args ((=> @t473 @t833))) % 0.51/0.73 (assume-push @p1650 @t473) % 0.51/0.73 (step @p1583 :rule instantiate :premises (@p1579) :args ((@list @t829 @t830))) % 0.51/0.73 (step-pop @p1651 :rule scope :premises (@p1583)) % 0.51/0.73 (step @p1584 :rule process_scope :premises (@p1651) :args (@t833)) % 0.51/0.73 (step @p1586 :rule eq_resolve :premises (@p1584 @p1581)) % 0.51/0.73 (step @p1587 :rule implies_elim :premises (@p1586)) % 0.51/0.73 (step @p1588 :rule chain_m_resolution :premises (@p1587 @p1579) :args (@t834 (@list false) (@list @t473))) % 0.51/0.73 (step @p1589 :rule not_implies_elim2 :premises (@p1578)) % 0.51/0.73 (step @p1590 :rule not_implies_elim2 :premises (@p1589)) % 0.51/0.73 (step @p1591 :rule not_implies_elim2 :premises (@p1590)) % 0.51/0.73 (step @p1592 :rule not_implies_elim2 :premises (@p1591)) % 0.51/0.73 (step @p1593 :rule not_implies_elim2 :premises (@p1592)) % 0.51/0.73 (step @p1594 :rule not_implies_elim2 :premises (@p1593)) % 0.51/0.73 (step @p1595 :rule not_implies_elim2 :premises (@p1594)) % 0.51/0.73 (step @p1596 :rule not_implies_elim2 :premises (@p1595)) % 0.51/0.73 (step @p1597 :rule not_implies_elim2 :premises (@p1596)) % 0.51/0.73 (step @p1598 :rule not_implies_elim2 :premises (@p1597)) % 0.51/0.73 (step @p1599 :rule not_implies_elim2 :premises (@p1598)) % 0.51/0.73 (step @p1600 :rule not_implies_elim2 :premises (@p1599)) % 0.51/0.73 (step @p1601 :rule not_implies_elim2 :premises (@p1600)) % 0.51/0.73 (step @p1602 :rule not_implies_elim2 :premises (@p1601)) % 0.51/0.73 (step @p1603 :rule not_implies_elim2 :premises (@p1602)) % 0.51/0.73 (step @p1604 :rule not_implies_elim2 :premises (@p1603)) % 0.51/0.73 (step @p1605 :rule not_implies_elim2 :premises (@p1604)) % 0.51/0.73 (step @p1606 :rule not_implies_elim2 :premises (@p1605)) % 0.51/0.73 (step @p1607 :rule not_implies_elim2 :premises (@p1606)) % 0.51/0.73 (step @p1608 :rule not_implies_elim2 :premises (@p1607)) % 0.51/0.73 (step @p1609 :rule not_implies_elim2 :premises (@p1608)) % 0.51/0.73 (step @p1610 :rule not_implies_elim2 :premises (@p1609)) % 0.51/0.73 (step @p1611 :rule not_implies_elim2 :premises (@p1610)) % 0.51/0.73 (step @p1612 :rule not_implies_elim2 :premises (@p1611)) % 0.51/0.73 (step @p1613 :rule not_implies_elim2 :premises (@p1612)) % 0.51/0.73 (step @p1614 :rule not_implies_elim2 :premises (@p1613)) % 0.51/0.73 (step @p1615 :rule not_implies_elim2 :premises (@p1614)) % 0.51/0.73 (step @p1616 :rule not_implies_elim2 :premises (@p1615)) % 0.51/0.73 (step @p1617 :rule not_implies_elim2 :premises (@p1616)) % 0.51/0.73 (step @p1618 :rule not_implies_elim2 :premises (@p1617)) % 0.51/0.73 (step @p1619 :rule not_implies_elim2 :premises (@p1618)) % 0.51/0.73 (step @p1620 :rule not_implies_elim2 :premises (@p1619)) % 0.51/0.73 (step @p1621 :rule not_implies_elim2 :premises (@p1620)) % 0.51/0.73 (step @p1622 :rule skolemize :premises (@p1621)) % 0.51/0.73 (step @p1623 :rule bool-double-not-elim :args (@t832)) % 0.51/0.73 (step @p1624 :rule refl :args (@t840)) % 0.51/0.73 (step @p1625 :rule nary_cong :premises (@p1624 @p1623) :args ((or @t840 (not @t839)))) % 0.51/0.73 (step @p1626 :rule cnf_or_neg :args (@t840 0)) % 0.51/0.73 (step @p1627 :rule eq_resolve :premises (@p1626 @p1625)) % 0.51/0.73 (step @p1628 :rule reordering :premises (@p1627) :args ((or @t832 @t840))) % 0.51/0.73 (step @p1629 :rule chain_m_resolution :premises (@p1628 @p1622) :args (@t832 @t841 @t842)) % 0.51/0.73 (step @p1630 :rule cnf_equiv_pos1 :args (@t834)) % 0.51/0.73 (step @p1631 :rule reordering :premises (@p1630) :args ((or @t839 @t831 (not @t834)))) % 0.51/0.73 (step @p1632 :rule chain_m_resolution :premises (@p1631 @p1629 @p1588) :args (@t831 (@list false false) (@list @t832 @t834))) % 0.51/0.73 (step @p1633 :rule cnf_or_neg :args (@t840 2)) % 0.51/0.73 (step @p1634 :rule chain_m_resolution :premises (@p1633 @p1622) :args ((not @t836) @t841 @t842)) % 0.51/0.73 (step @p1635 :rule bool-double-not-elim :args (@t837)) % 0.51/0.73 (step @p1636 :rule nary_cong :premises (@p1624 @p1635) :args ((or @t840 (not @t838)))) % 0.51/0.73 (step @p1637 :rule cnf_or_neg :args (@t840 1)) % 0.51/0.73 (step @p1638 :rule eq_resolve :premises (@p1637 @p1636)) % 0.51/0.73 (step @p1639 :rule reordering :premises (@p1638) :args ((or @t837 @t840))) % 0.51/0.73 (step @p1640 :rule chain_m_resolution :premises (@p1639 @p1622) :args (@t837 @t841 @t842)) % 0.51/0.73 (step @p1641 :rule cnf_or_pos :args (@t843)) % 0.51/0.73 (step @p1642 :rule reordering :premises (@p1641) :args ((or @t838 @t836 @t844))) % 0.51/0.73 (step @p1643 :rule chain_m_resolution :premises (@p1642 @p1640 @p1634) :args (@t844 (@list false true) (@list @t837 @t836))) % 0.51/0.73 (assume-push @p1652 @t831) % 0.51/0.73 (step @p1645 :rule instantiate :premises (@p1632) :args ((@list @t835))) % 0.51/0.73 (step-pop @p1653 :rule scope :premises (@p1645)) % 0.51/0.73 (step @p1646 :rule process_scope :premises (@p1653) :args (@t843)) % 0.51/0.73 (step @p1648 :rule implies_elim :premises (@p1646)) % 0.51/0.73 (step @p1649 false :rule chain_m_resolution :premises (@p1648 @p1643 @p1632) :args (false (@list true false) (@list @t843 @t831))) % 0.51/0.73 ) % 0.51/0.73 % SZS output end Proof % 0.51/0.73 % cvc5 exiting %------------------------------------------------------------------------------