%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU519^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 % 0.00/0.12 % Problem : SEU519^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.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 17:39:41 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.52 %----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) $$unsorted)) % 0.51/0.72 (declare-const tptp.setoftrueEq Bool) % 0.51/0.72 (declare-const tptp.setadjoinOr Bool) % 0.51/0.72 (declare-const tptp.setadjoinE Bool) % 0.51/0.72 (declare-const tptp.emptyinunitempty Bool) % 0.51/0.72 (declare-const tptp.nonemptyI1 Bool) % 0.51/0.72 (declare-const tptp.nonemptyI Bool) % 0.51/0.72 (declare-const tptp.nonemptyE1 Bool) % 0.51/0.72 (declare-const tptp.noeltsimpempty Bool) % 0.51/0.72 (declare-const tptp.emptyI Bool) % 0.51/0.72 (declare-const tptp.omegaIndAx Bool) % 0.51/0.72 (declare-const tptp.omega0Ax Bool) % 0.51/0.72 (declare-const tptp.setadjoinIL Bool) % 0.51/0.72 (declare-const tptp.setunion (-> $$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.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 () (forall @t9 (=> @t6 @t7))) % 0.51/0.72 (define @t32 () (_ tptp.powerset @t2)) % 0.51/0.72 (define @t33 () (_ tptp.in @t1)) % 0.51/0.72 (define @t34 () (_ @t33 @t32)) % 0.51/0.72 (define @t35 () (= @t34 @t31)) % 0.51/0.72 (define @t36 () (forall @t12 @t35)) % 0.51/0.72 (define @t37 () (= tptp.powersetAx @t36)) % 0.51/0.72 (define @t38 () (_ @t33 @t2)) % 0.51/0.72 (define @t39 () (and @t6 @t38)) % 0.51/0.72 (define @t40 () (@list @t1)) % 0.51/0.72 (define @t41 () (exists @t40 @t39)) % 0.51/0.72 (define @t42 () (_ tptp.setunion @t2)) % 0.51/0.72 (define @t43 () (_ @t5 @t42)) % 0.51/0.72 (define @t44 () (= @t43 @t41)) % 0.51/0.72 (define @t45 () (@list @t2 @t4)) % 0.51/0.72 (define @t46 () (forall @t45 @t44)) % 0.51/0.72 (define @t47 () (= tptp.setunionAx @t46)) % 0.51/0.72 (define @t48 () (_ tptp.in tptp.emptyset)) % 0.51/0.72 (define @t49 () (_ @t48 tptp.omega)) % 0.51/0.72 (define @t50 () (_ @t24 @t4)) % 0.51/0.72 (define @t51 () (_ tptp.in @t50)) % 0.51/0.72 (define @t52 () (_ @t51 tptp.omega)) % 0.51/0.72 (define @t53 () (_ @t5 tptp.omega)) % 0.51/0.72 (define @t54 () (forall @t9 (=> @t53 @t52))) % 0.51/0.72 (define @t55 () (= tptp.omegaSAx @t54)) % 0.51/0.72 (define @t56 () (forall @t9 (=> @t53 @t7))) % 0.51/0.72 (define @t57 () (_ @t51 @t2)) % 0.51/0.72 (define @t58 () (and @t53 @t7)) % 0.51/0.72 (define @t59 () (forall @t9 (=> @t58 @t57))) % 0.51/0.72 (define @t60 () (_ @t48 @t2)) % 0.51/0.72 (define @t61 () (and @t60 @t59)) % 0.51/0.72 (define @t62 () (=> @t61 @t56)) % 0.51/0.72 (define @t63 () (@list @t2)) % 0.51/0.72 (define @t64 () (forall @t63 @t62)) % 0.51/0.72 (define @t65 () (= tptp.omegaIndAx @t64)) % 0.51/0.72 (define @t66 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.51/0.72 (define @t67 () (_ (_ @t66 @t19) @t4)) % 0.51/0.72 (define @t68 () (and @t21 @t67)) % 0.51/0.72 (define @t69 () (@list @t19)) % 0.51/0.72 (define @t70 () (exists @t69 @t68)) % 0.51/0.72 (define @t71 () (= @t6 @t70)) % 0.51/0.72 (define @t72 () (forall @t9 @t71)) % 0.51/0.72 (define @t73 () (exists @t40 @t72)) % 0.51/0.72 (define @t74 () (_ @t66 @t4)) % 0.51/0.72 (define @t75 () (_ @t74 @t19)) % 0.51/0.72 (define @t76 () (lambda @t69 @t75)) % 0.51/0.72 (define @t77 () (=> @t7 (_ tptp.exu @t76))) % 0.51/0.72 (define @t78 () (forall @t9 @t77)) % 0.51/0.72 (define @t79 () (=> @t78 @t73)) % 0.51/0.72 (define @t80 () (@list @t66 @t2)) % 0.51/0.72 (define @t81 () (forall @t80 @t79)) % 0.51/0.72 (define @t82 () (= tptp.replAx @t81)) % 0.51/0.72 (define @t83 () (and @t6 @t7)) % 0.51/0.72 (define @t84 () (exists @t9 @t83)) % 0.51/0.72 (define @t85 () (not @t84)) % 0.51/0.72 (define @t86 () (and @t38 @t85)) % 0.51/0.72 (define @t87 () (exists @t40 @t86)) % 0.51/0.72 (define @t88 () (exists @t9 @t7)) % 0.51/0.72 (define @t89 () (=> @t88 @t87)) % 0.51/0.72 (define @t90 () (forall @t63 @t89)) % 0.51/0.72 (define @t91 () (= tptp.foundationAx @t90)) % 0.51/0.72 (define @t92 () (@var "E" $$unsorted)) % 0.51/0.72 (define @t93 () (_ @t5 @t92)) % 0.51/0.72 (define @t94 () (@var "D" $$unsorted)) % 0.51/0.72 (define @t95 () (_ @t20 @t94)) % 0.51/0.72 (define @t96 () (_ @t20 @t92)) % 0.51/0.72 (define @t97 () (forall @t69 (=> @t96 @t95))) % 0.51/0.72 (define @t98 () (or @t97 @t93)) % 0.51/0.72 (define @t99 () (_ (_ tptp.in @t92) @t1)) % 0.51/0.72 (define @t100 () (=> @t99 @t98)) % 0.51/0.72 (define @t101 () (@list @t92)) % 0.51/0.72 (define @t102 () (forall @t101 @t100)) % 0.51/0.72 (define @t103 () (@var "C" $$unsorted)) % 0.51/0.72 (define @t104 () (_ @t20 @t103)) % 0.51/0.72 (define @t105 () (and @t95 @t104)) % 0.51/0.72 (define @t106 () (exists @t69 @t105)) % 0.51/0.72 (define @t107 () (not @t106)) % 0.51/0.72 (define @t108 () (_ @t5 @t103)) % 0.51/0.72 (define @t109 () (_ (_ tptp.in @t94) @t1)) % 0.51/0.72 (define @t110 () (and @t109 @t108 @t107 @t102)) % 0.51/0.72 (define @t111 () (@list @t94 @t4)) % 0.51/0.72 (define @t112 () (exists @t111 @t110)) % 0.51/0.72 (define @t113 () (exists @t9 @t108)) % 0.51/0.72 (define @t114 () (forall @t9 (=> @t108 @t7))) % 0.51/0.72 (define @t115 () (and @t114 @t113)) % 0.51/0.72 (define @t116 () (=> @t115 @t112)) % 0.51/0.72 (define @t117 () (@list @t103)) % 0.51/0.72 (define @t118 () (forall @t117 @t116)) % 0.51/0.72 (define @t119 () (_ @t5 @t94)) % 0.51/0.72 (define @t120 () (forall @t9 (=> @t119 @t108))) % 0.51/0.72 (define @t121 () (forall @t9 (=> @t108 @t119))) % 0.51/0.72 (define @t122 () (or @t121 @t120)) % 0.51/0.72 (define @t123 () (_ (_ tptp.in @t103) @t1)) % 0.51/0.72 (define @t124 () (and @t123 @t109)) % 0.51/0.72 (define @t125 () (=> @t124 @t122)) % 0.51/0.72 (define @t126 () (@list @t103 @t94)) % 0.51/0.72 (define @t127 () (forall @t126 @t125)) % 0.51/0.72 (define @t128 () (= @t4 @t19)) % 0.51/0.72 (define @t129 () (= @t108 @t104)) % 0.51/0.72 (define @t130 () (forall @t117 (=> @t123 @t129))) % 0.51/0.72 (define @t131 () (=> @t130 @t128)) % 0.51/0.72 (define @t132 () (and @t7 @t21)) % 0.51/0.72 (define @t133 () (=> @t132 @t131)) % 0.51/0.72 (define @t134 () (@list @t4 @t19)) % 0.51/0.72 (define @t135 () (forall @t134 @t133)) % 0.51/0.72 (define @t136 () (=> @t123 @t114)) % 0.51/0.72 (define @t137 () (forall @t117 @t136)) % 0.51/0.72 (define @t138 () (and @t137 @t135 @t127 @t118)) % 0.51/0.72 (define @t139 () (exists @t40 @t138)) % 0.51/0.72 (define @t140 () (forall @t63 @t139)) % 0.51/0.72 (define @t141 () (= tptp.wellorderingAx @t140)) % 0.51/0.72 (define @t142 () (@var "Xphi" (-> $$unsorted Bool))) % 0.51/0.72 (define @t143 () (_ @t142 @t4)) % 0.51/0.72 (define @t144 () (lambda @t9 @t143)) % 0.51/0.72 (define @t145 () (_ tptp.descr @t144)) % 0.51/0.72 (define @t146 () (_ @t142 @t145)) % 0.51/0.72 (define @t147 () (_ tptp.exu @t144)) % 0.51/0.72 (define @t148 () (=> @t147 @t146)) % 0.51/0.72 (define @t149 () (@list @t142)) % 0.51/0.72 (define @t150 () (forall @t149 @t148)) % 0.51/0.72 (define @t151 () (= tptp.descrp @t150)) % 0.51/0.72 (define @t152 () (_ @t142 @t19)) % 0.51/0.72 (define @t153 () (lambda @t69 @t152)) % 0.51/0.72 (define @t154 () (_ tptp.dsetconstr @t2)) % 0.51/0.72 (define @t155 () (_ @t154 @t153)) % 0.51/0.72 (define @t156 () (_ @t5 @t155)) % 0.51/0.72 (define @t157 () (=> @t143 @t156)) % 0.51/0.72 (define @t158 () (@list @t2 @t142 @t4)) % 0.51/0.72 (define @t159 () (forall @t158 (=> @t7 @t157))) % 0.51/0.72 (define @t160 () (= tptp.dsetconstrI @t159)) % 0.51/0.72 (define @t161 () (forall @t158 (=> @t156 @t7))) % 0.51/0.72 (define @t162 () (= tptp.dsetconstrEL @t161)) % 0.51/0.72 (define @t163 () (forall @t158 (=> @t156 @t143))) % 0.51/0.72 (define @t164 () (= tptp.dsetconstrER @t163)) % 0.51/0.72 (define @t165 () (forall @t69 (=> @t152 @t128))) % 0.51/0.72 (define @t166 () (and @t143 @t165)) % 0.51/0.72 (define @t167 () (exists @t9 @t166)) % 0.51/0.72 (define @t168 () (=> @t147 @t167)) % 0.51/0.72 (define @t169 () (forall @t149 @t168)) % 0.51/0.72 (define @t170 () (= tptp.exuE1 @t169)) % 0.51/0.72 (define @t171 () (@var "Xphi" Bool)) % 0.51/0.72 (define @t172 () (=> (_ @t5 (_ tptp.prop2set @t171)) @t171)) % 0.51/0.72 (define @t173 () (@list @t171 @t4)) % 0.51/0.72 (define @t174 () (forall @t173 @t172)) % 0.51/0.72 (define @t175 () (= tptp.prop2setE @t174)) % 0.51/0.72 (define @t176 () (@list @t171)) % 0.51/0.72 (define @t177 () (forall @t176 @t171)) % 0.51/0.72 (define @t178 () (=> @t15 @t177)) % 0.51/0.72 (define @t179 () (forall @t9 @t178)) % 0.51/0.72 (define @t180 () (= tptp.emptysetE @t179)) % 0.51/0.72 (define @t181 () (forall @t9 (=> @t15 false))) % 0.51/0.72 (define @t182 () (= tptp.emptysetimpfalse @t181)) % 0.51/0.72 (define @t183 () (exists @t9 @t143)) % 0.51/0.72 (define @t184 () (=> @t147 @t183)) % 0.51/0.72 (define @t185 () (forall @t149 @t184)) % 0.51/0.72 (define @t186 () (= tptp.exuE3e @t185)) % 0.51/0.72 (define @t187 () (=> @t31 @t3)) % 0.51/0.72 (define @t188 () (forall @t9 (=> @t7 @t6))) % 0.51/0.72 (define @t189 () (=> @t188 @t187)) % 0.51/0.72 (define @t190 () (forall @t12 @t189)) % 0.51/0.72 (define @t191 () (= tptp.setext @t190)) % 0.51/0.72 (define @t192 () (= @t2 tptp.emptyset)) % 0.51/0.72 (define @t193 () (not @t7)) % 0.51/0.72 (define @t194 () (forall @t9 @t193)) % 0.51/0.72 (define @t195 () (=> @t194 @t192)) % 0.51/0.72 (define @t196 () (forall @t63 @t195)) % 0.51/0.72 (define @t197 () (= tptp.emptyI @t196)) % 0.51/0.72 (define @t198 () (=> @t7 (= @t156 @t143))) % 0.51/0.72 (define @t199 () (forall @t158 @t198)) % 0.51/0.72 (define @t200 () (= tptp.setbeta @t199)) % 0.51/0.72 (define @t201 () (_ tptp.nonempty @t2)) % 0.51/0.72 (define @t202 () (=> @t201 @t88)) % 0.51/0.72 (define @t203 () (forall @t63 @t202)) % 0.51/0.72 (define @t204 () (= tptp.nonemptyE1 @t203)) % 0.51/0.72 (define @t205 () (=> @t143 (_ tptp.nonempty @t155))) % 0.51/0.72 (define @t206 () (=> @t7 @t205)) % 0.51/0.72 (define @t207 () (forall @t158 @t206)) % 0.51/0.72 (define @t208 () (= tptp.nonemptyI @t207)) % 0.51/0.72 (define @t209 () (=> @t88 @t201)) % 0.51/0.72 (define @t210 () (forall @t63 @t209)) % 0.51/0.72 (define @t211 () (= tptp.nonemptyI1 @t210)) % 0.51/0.72 (define @t212 () (_ @t24 @t19)) % 0.51/0.72 (define @t213 () (_ @t5 @t212)) % 0.51/0.72 (define @t214 () (forall @t134 @t213)) % 0.51/0.72 (define @t215 () (= tptp.setadjoinIL @t214)) % 0.51/0.72 (define @t216 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.51/0.72 (define @t217 () (_ @t48 @t216)) % 0.51/0.72 (define @t218 () (forall @t28 (=> @t21 @t26))) % 0.51/0.72 (define @t219 () (= tptp.setadjoinIR @t218)) % 0.51/0.72 (define @t220 () (=> @t21 @t171)) % 0.51/0.72 (define @t221 () (=> @t220 @t171)) % 0.51/0.72 (define @t222 () (=> @t22 @t171)) % 0.51/0.72 (define @t223 () (=> @t222 @t221)) % 0.51/0.72 (define @t224 () (forall @t176 @t223)) % 0.51/0.72 (define @t225 () (=> @t26 @t224)) % 0.51/0.72 (define @t226 () (forall @t28 @t225)) % 0.51/0.72 (define @t227 () (= tptp.setadjoinE @t226)) % 0.51/0.72 (define @t228 () (=> @t26 @t23)) % 0.51/0.72 (define @t229 () (forall @t28 @t228)) % 0.51/0.72 (define @t230 () (= tptp.setadjoinOr @t229)) % 0.51/0.72 (define @t231 () (lambda @t9 true)) % 0.51/0.72 (define @t232 () (= (_ @t154 @t231) @t2)) % 0.51/0.72 (define @t233 () (forall @t63 @t232)) % 0.51/0.72 (define @t234 () (= tptp.setoftrueEq @t233)) % 0.51/0.72 (define @t235 () (=> @t31 @t34)) % 0.51/0.72 (define @t236 () (forall @t12 @t235)) % 0.51/0.72 (define @t237 () (= tptp.powersetI @t236)) % 0.51/0.72 (define @t238 () (_ @t48 @t32)) % 0.51/0.72 (define @t239 () (forall @t63 @t238)) % 0.51/0.72 (define @t240 () (=> tptp.powersetI @t239)) % 0.51/0.72 (define @t241 () (=> tptp.setoftrueEq @t240)) % 0.51/0.72 (define @t242 () (=> tptp.setadjoinOr @t241)) % 0.51/0.72 (define @t243 () (=> tptp.setadjoinE @t242)) % 0.51/0.72 (define @t244 () (=> tptp.setadjoinIR @t243)) % 0.51/0.72 (define @t245 () (=> tptp.emptyinunitempty @t244)) % 0.51/0.72 (define @t246 () (=> tptp.setadjoinIL @t245)) % 0.51/0.72 (define @t247 () (=> tptp.nonemptyI1 @t246)) % 0.51/0.72 (define @t248 () (=> tptp.nonemptyI @t247)) % 0.51/0.72 (define @t249 () (=> tptp.nonemptyE1 @t248)) % 0.51/0.72 (define @t250 () (=> tptp.setbeta @t249)) % 0.51/0.72 (define @t251 () (=> tptp.noeltsimpempty @t250)) % 0.51/0.72 (define @t252 () (=> tptp.emptyI @t251)) % 0.51/0.72 (define @t253 () (=> tptp.setext @t252)) % 0.51/0.72 (define @t254 () (=> tptp.exuE3e @t253)) % 0.51/0.72 (define @t255 () (=> tptp.notinemptyset @t254)) % 0.51/0.72 (define @t256 () (=> tptp.emptysetimpfalse @t255)) % 0.51/0.72 (define @t257 () (=> tptp.emptysetE @t256)) % 0.51/0.72 (define @t258 () (=> tptp.prop2setE @t257)) % 0.51/0.72 (define @t259 () (=> tptp.exuE1 @t258)) % 0.51/0.72 (define @t260 () (=> tptp.dsetconstrER @t259)) % 0.51/0.72 (define @t261 () (=> tptp.dsetconstrEL @t260)) % 0.51/0.72 (define @t262 () (=> tptp.dsetconstrI @t261)) % 0.51/0.72 (define @t263 () (=> tptp.descrp @t262)) % 0.51/0.72 (define @t264 () (=> tptp.wellorderingAx @t263)) % 0.51/0.72 (define @t265 () (=> tptp.foundationAx @t264)) % 0.51/0.72 (define @t266 () (=> tptp.replAx @t265)) % 0.51/0.72 (define @t267 () (=> tptp.omegaIndAx @t266)) % 0.51/0.72 (define @t268 () (=> tptp.omegaSAx @t267)) % 0.51/0.72 (define @t269 () (=> tptp.omega0Ax @t268)) % 0.51/0.72 (define @t270 () (=> tptp.setunionAx @t269)) % 0.51/0.72 (define @t271 () (=> tptp.powersetAx @t270)) % 0.51/0.72 (define @t272 () (=> tptp.setadjoinAx @t271)) % 0.51/0.72 (define @t273 () (=> tptp.emptysetAx @t272)) % 0.51/0.72 (define @t274 () (=> tptp.setextAx @t273)) % 0.51/0.72 (define @t275 () (not @t274)) % 0.51/0.72 (define @t276 () (lambda @t149 @t167)) % 0.51/0.72 (define @t277 () (lambda @t9 @t171)) % 0.51/0.72 (define @t278 () (_ tptp.powerset tptp.emptyset)) % 0.51/0.72 (define @t279 () (_ tptp.dsetconstr @t278)) % 0.51/0.72 (define @t280 () (_ @t279 @t277)) % 0.51/0.72 (define @t281 () (lambda @t176 @t280)) % 0.51/0.72 (define @t282 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.51/0.72 (define @t283 () (tptp.powerset @t2)) % 0.51/0.72 (define @t284 () (tptp.in tptp.emptyset @t283)) % 0.51/0.72 (define @t285 () (forall @t63 @t284)) % 0.51/0.72 (define @t286 () (tptp.in @t1 @t283)) % 0.51/0.72 (define @t287 () (tptp.in @t4 @t2)) % 0.51/0.72 (define @t288 () (tptp.in @t4 @t1)) % 0.51/0.72 (define @t289 () (not @t288)) % 0.51/0.72 (define @t290 () (forall @t9 (or @t289 @t287))) % 0.51/0.72 (define @t291 () (not @t290)) % 0.51/0.72 (define @t292 () (@var "BOUND_VARIABLE_15300" $$unsorted)) % 0.51/0.72 (define @t293 () (lambda (@list @t292) true)) % 0.51/0.72 (define @t294 () (tptp.dsetconstr @t2 @t293)) % 0.51/0.72 (define @t295 () (tptp.in @t19 @t2)) % 0.51/0.72 (define @t296 () (tptp.setadjoin @t4 @t2)) % 0.51/0.72 (define @t297 () (tptp.in @t19 @t296)) % 0.51/0.72 (define @t298 () (forall @t28 (or (not @t297) @t128 @t295))) % 0.51/0.72 (define @t299 () (not @t295)) % 0.51/0.72 (define @t300 () (=> (forall @t28 (or @t299 @t297)) (=> @t298 (=> @t298 (=> (forall @t63 (= @t2 @t294)) (=> (forall @t12 (or @t291 @t286)) @t285)))))) % 0.51/0.72 (define @t301 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.51/0.72 (define @t302 () (tptp.in tptp.emptyset @t301)) % 0.51/0.72 (define @t303 () (=> @t217 @t300)) % 0.51/0.72 (define @t304 () (tptp.setadjoin @t4 @t19)) % 0.51/0.72 (define @t305 () (tptp.in @t4 @t304)) % 0.51/0.72 (define @t306 () (forall @t134 @t305)) % 0.51/0.72 (define @t307 () (=> @t306 @t303)) % 0.51/0.72 (define @t308 () (@var "BOUND_VARIABLE_8489" $$unsorted)) % 0.51/0.72 (define @t309 () (not (tptp.in @t308 tptp.emptyset))) % 0.51/0.72 (define @t310 () (@list @t308)) % 0.51/0.72 (define @t311 () (forall @t310 @t309)) % 0.51/0.72 (define @t312 () (=> @t311 @t307)) % 0.51/0.72 (define @t313 () (tptp.dsetconstr @t2 @t142)) % 0.51/0.72 (define @t314 () (_ @t142 @t4)) % 0.51/0.72 (define @t315 () (not @t314)) % 0.51/0.72 (define @t316 () (not @t287)) % 0.51/0.72 (define @t317 () (forall @t158 (or @t316 @t315 (not (= tptp.emptyset @t313))))) % 0.51/0.72 (define @t318 () (=> @t317 @t312)) % 0.51/0.72 (define @t319 () (forall @t9 @t316)) % 0.51/0.72 (define @t320 () (not @t319)) % 0.51/0.72 (define @t321 () (forall @t63 (or @t192 @t320))) % 0.51/0.72 (define @t322 () (=> @t321 @t318)) % 0.51/0.72 (define @t323 () (tptp.in @t4 @t313)) % 0.51/0.72 (define @t324 () (forall @t158 (or @t316 (= @t314 @t323)))) % 0.51/0.72 (define @t325 () (=> @t324 @t322)) % 0.51/0.72 (define @t326 () (forall @t63 (or @t320 @t192))) % 0.51/0.72 (define @t327 () (=> @t326 @t325)) % 0.51/0.72 (define @t328 () (=> @t326 @t327)) % 0.51/0.72 (define @t329 () (forall @t9 (or @t316 @t288))) % 0.51/0.72 (define @t330 () (not @t329)) % 0.51/0.72 (define @t331 () (or @t330 @t291 @t3)) % 0.51/0.72 (define @t332 () (forall @t12 @t331)) % 0.51/0.72 (define @t333 () (=> @t332 @t328)) % 0.51/0.72 (define @t334 () (@var "BOUND_VARIABLE_8386" $$unsorted)) % 0.51/0.72 (define @t335 () (_ @t142 @t19)) % 0.51/0.72 (define @t336 () (not @t335)) % 0.51/0.72 (define @t337 () (not (_ @t142 @t334))) % 0.51/0.72 (define @t338 () (not (forall @t9 @t315))) % 0.51/0.72 (define @t339 () (@list @t142 @t334)) % 0.51/0.72 (define @t340 () (forall @t339 (or @t338 @t337 (not (forall @t69 (or @t336 (= @t19 @t334))))))) % 0.51/0.72 (define @t341 () (=> @t340 @t333)) % 0.51/0.72 (define @t342 () (tptp.in @t4 tptp.emptyset)) % 0.51/0.72 (define @t343 () (not @t342)) % 0.51/0.72 (define @t344 () (forall @t9 @t343)) % 0.51/0.72 (define @t345 () (=> @t344 @t341)) % 0.51/0.72 (define @t346 () (=> @t344 @t345)) % 0.51/0.72 (define @t347 () (=> @t344 @t346)) % 0.51/0.72 (define @t348 () (@var "BOUND_VARIABLE_9855" $$unsorted)) % 0.51/0.72 (define @t349 () (lambda (@list @t348) false)) % 0.51/0.72 (define @t350 () (tptp.powerset tptp.emptyset)) % 0.51/0.72 (define @t351 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t350 @t349))))) % 0.51/0.72 (define @t352 () (=> @t351 @t347)) % 0.51/0.72 (define @t353 () (not @t323)) % 0.51/0.72 (define @t354 () (forall @t158 (or @t353 @t314))) % 0.51/0.72 (define @t355 () (=> @t354 @t352)) % 0.51/0.72 (define @t356 () (forall @t158 (or @t353 @t287))) % 0.51/0.72 (define @t357 () (=> @t356 @t355)) % 0.51/0.72 (define @t358 () (forall @t158 (or @t316 @t315 @t323))) % 0.51/0.72 (define @t359 () (=> @t358 @t357)) % 0.51/0.72 (define @t360 () (@var "BOUND_VARIABLE_8257" $$unsorted)) % 0.51/0.72 (define @t361 () (not (_ @t142 @t360))) % 0.51/0.72 (define @t362 () (_ @t142 (tptp.descr @t142))) % 0.51/0.72 (define @t363 () (@list @t142 @t360)) % 0.51/0.72 (define @t364 () (forall @t363 (or @t362 @t361 (not (forall @t69 (or @t336 (= @t19 @t360))))))) % 0.51/0.72 (define @t365 () (=> @t364 @t359)) % 0.51/0.72 (define @t366 () (@var "BOUND_VARIABLE_8177" $$unsorted)) % 0.51/0.72 (define @t367 () (tptp.in @t366 @t94)) % 0.51/0.72 (define @t368 () (not (tptp.in @t366 @t92))) % 0.51/0.72 (define @t369 () (tptp.in @t4 @t92)) % 0.51/0.72 (define @t370 () (tptp.in @t92 @t1)) % 0.51/0.72 (define @t371 () (not @t370)) % 0.51/0.72 (define @t372 () (or @t371 @t369 @t368 @t367)) % 0.51/0.72 (define @t373 () (@list @t92 @t366)) % 0.51/0.72 (define @t374 () (forall @t373 @t372)) % 0.51/0.72 (define @t375 () (not @t374)) % 0.51/0.72 (define @t376 () (tptp.in @t19 @t103)) % 0.51/0.72 (define @t377 () (tptp.in @t19 @t94)) % 0.51/0.72 (define @t378 () (forall @t69 (or (not @t377) (not @t376)))) % 0.51/0.72 (define @t379 () (not @t378)) % 0.51/0.72 (define @t380 () (tptp.in @t4 @t103)) % 0.51/0.72 (define @t381 () (not @t380)) % 0.51/0.72 (define @t382 () (tptp.in @t94 @t1)) % 0.51/0.72 (define @t383 () (not @t382)) % 0.51/0.72 (define @t384 () (not (forall @t111 (or @t383 @t381 @t379 @t375)))) % 0.51/0.72 (define @t385 () (@var "BOUND_VARIABLE_8206" $$unsorted)) % 0.51/0.72 (define @t386 () (not (tptp.in @t385 @t103))) % 0.51/0.72 (define @t387 () (forall @t9 (or @t381 @t287))) % 0.51/0.72 (define @t388 () (not @t387)) % 0.51/0.72 (define @t389 () (or @t388 @t386 @t384)) % 0.51/0.72 (define @t390 () (forall (@list @t103 @t385) @t389)) % 0.51/0.72 (define @t391 () (not @t390)) % 0.51/0.72 (define @t392 () (@var "BOUND_VARIABLE_8129" $$unsorted)) % 0.51/0.72 (define @t393 () (tptp.in @t392 @t103)) % 0.51/0.72 (define @t394 () (not (tptp.in @t392 @t94))) % 0.51/0.72 (define @t395 () (@var "BOUND_VARIABLE_8123" $$unsorted)) % 0.51/0.72 (define @t396 () (tptp.in @t395 @t94)) % 0.51/0.72 (define @t397 () (not (tptp.in @t395 @t103))) % 0.51/0.72 (define @t398 () (tptp.in @t103 @t1)) % 0.51/0.72 (define @t399 () (not @t398)) % 0.51/0.72 (define @t400 () (or @t399 @t383 @t397 @t396 @t394 @t393)) % 0.51/0.72 (define @t401 () (@list @t103 @t94 @t395 @t392)) % 0.51/0.72 (define @t402 () (forall @t401 @t400)) % 0.51/0.72 (define @t403 () (not @t402)) % 0.51/0.72 (define @t404 () (forall @t117 (or @t399 (= @t380 @t376)))) % 0.51/0.72 (define @t405 () (not @t404)) % 0.51/0.72 (define @t406 () (forall @t134 (or @t316 @t299 @t405 @t128))) % 0.51/0.72 (define @t407 () (not @t406)) % 0.51/0.72 (define @t408 () (@var "BOUND_VARIABLE_8072" $$unsorted)) % 0.51/0.72 (define @t409 () (tptp.in @t408 @t2)) % 0.51/0.72 (define @t410 () (not (tptp.in @t408 @t103))) % 0.51/0.72 (define @t411 () (or @t399 @t410 @t409)) % 0.51/0.72 (define @t412 () (@list @t103 @t408)) % 0.51/0.72 (define @t413 () (forall @t412 @t411)) % 0.51/0.72 (define @t414 () (not @t413)) % 0.51/0.72 (define @t415 () (or @t414 @t407 @t403 @t391)) % 0.51/0.72 (define @t416 () (forall @t63 (not (forall @t40 @t415)))) % 0.51/0.72 (define @t417 () (=> @t416 @t365)) % 0.51/0.72 (define @t418 () (forall @t9 (or @t289 @t316))) % 0.51/0.72 (define @t419 () (not @t418)) % 0.51/0.72 (define @t420 () (tptp.in @t1 @t2)) % 0.51/0.72 (define @t421 () (not @t420)) % 0.51/0.72 (define @t422 () (not (forall @t40 (or @t421 @t419)))) % 0.51/0.72 (define @t423 () (@var "BOUND_VARIABLE_8047" $$unsorted)) % 0.51/0.72 (define @t424 () (not (tptp.in @t423 @t2))) % 0.51/0.72 (define @t425 () (or @t424 @t422)) % 0.51/0.72 (define @t426 () (forall (@list @t2 @t423) @t425)) % 0.51/0.72 (define @t427 () (=> @t426 @t417)) % 0.51/0.72 (define @t428 () (_ @t66 @t19 @t4)) % 0.51/0.72 (define @t429 () (not (forall @t69 (or @t299 (not @t428))))) % 0.51/0.72 (define @t430 () (forall @t9 (= @t288 @t429))) % 0.51/0.72 (define @t431 () (not (forall @t40 (not @t430)))) % 0.51/0.72 (define @t432 () (@var "BOUND_VARIABLE_7937" $$unsorted)) % 0.51/0.72 (define @t433 () (= @t19 @t432)) % 0.51/0.72 (define @t434 () (_ @t66 @t4 @t19)) % 0.51/0.72 (define @t435 () (not (forall @t69 (or (not @t434) @t433)))) % 0.51/0.72 (define @t436 () (_ @t66 @t4 @t432)) % 0.51/0.72 (define @t437 () (@list @t432)) % 0.51/0.72 (define @t438 () (not (forall @t437 (or (not @t436) @t435)))) % 0.51/0.72 (define @t439 () (forall @t9 (or @t316 @t438))) % 0.51/0.72 (define @t440 () (forall @t80 (or (not @t439) @t431))) % 0.51/0.72 (define @t441 () (=> @t440 @t427)) % 0.51/0.72 (define @t442 () (@var "BOUND_VARIABLE_7918" $$unsorted)) % 0.51/0.72 (define @t443 () (tptp.in @t442 @t2)) % 0.51/0.72 (define @t444 () (not (tptp.in @t442 tptp.omega))) % 0.51/0.72 (define @t445 () (tptp.setadjoin @t4 @t4)) % 0.51/0.72 (define @t446 () (tptp.in @t445 @t2)) % 0.51/0.72 (define @t447 () (tptp.in @t4 tptp.omega)) % 0.51/0.72 (define @t448 () (not @t447)) % 0.51/0.72 (define @t449 () (forall @t9 (or @t448 @t316 @t446))) % 0.51/0.72 (define @t450 () (not @t449)) % 0.51/0.72 (define @t451 () (tptp.in tptp.emptyset @t2)) % 0.51/0.72 (define @t452 () (not @t451)) % 0.51/0.72 (define @t453 () (or @t452 @t450 @t444 @t443)) % 0.51/0.72 (define @t454 () (@list @t2 @t442)) % 0.51/0.72 (define @t455 () (forall @t454 @t453)) % 0.51/0.72 (define @t456 () (=> @t455 @t441)) % 0.51/0.72 (define @t457 () (tptp.in @t445 tptp.omega)) % 0.51/0.72 (define @t458 () (forall @t9 (or @t448 @t457))) % 0.51/0.72 (define @t459 () (=> @t458 @t456)) % 0.51/0.72 (define @t460 () (tptp.in tptp.emptyset tptp.omega)) % 0.51/0.72 (define @t461 () (=> @t49 @t459)) % 0.51/0.72 (define @t462 () (tptp.setunion @t2)) % 0.51/0.72 (define @t463 () (tptp.in @t4 @t462)) % 0.51/0.72 (define @t464 () (not (forall @t40 (or @t289 @t421)))) % 0.51/0.72 (define @t465 () (forall @t45 (= @t464 @t463))) % 0.51/0.72 (define @t466 () (=> @t465 @t461)) % 0.51/0.72 (define @t467 () (forall @t12 (= @t290 @t286))) % 0.51/0.72 (define @t468 () (=> @t467 @t466)) % 0.51/0.72 (define @t469 () (or @t128 @t295)) % 0.51/0.72 (define @t470 () (forall @t28 (= @t297 @t469))) % 0.51/0.72 (define @t471 () (=> @t470 @t468)) % 0.51/0.72 (define @t472 () (=> @t344 @t471)) % 0.51/0.72 (define @t473 () (forall @t9 (= @t287 @t288))) % 0.51/0.72 (define @t474 () (forall @t12 (or (not @t473) @t3))) % 0.51/0.72 (define @t475 () (=> @t474 @t472)) % 0.51/0.72 (define @t476 () (=> @t354 (=> true @t352))) % 0.51/0.72 (define @t477 () (=> @t356 @t476)) % 0.51/0.72 (define @t478 () (=> @t358 @t477)) % 0.51/0.72 (define @t479 () (=> @t364 @t478)) % 0.51/0.72 (define @t480 () (=> @t416 @t479)) % 0.51/0.72 (define @t481 () (=> @t426 @t480)) % 0.51/0.72 (define @t482 () (=> @t440 @t481)) % 0.51/0.72 (define @t483 () (=> @t455 @t482)) % 0.51/0.72 (define @t484 () (=> @t458 @t483)) % 0.51/0.72 (define @t485 () (=> @t49 @t484)) % 0.51/0.72 (define @t486 () (=> @t465 @t485)) % 0.51/0.72 (define @t487 () (=> @t467 @t486)) % 0.51/0.72 (define @t488 () (=> @t470 @t487)) % 0.51/0.72 (define @t489 () (=> @t344 @t488)) % 0.51/0.72 (define @t490 () (=> @t474 @t489)) % 0.51/0.72 (define @t491 () (or @t291 @t34)) % 0.51/0.72 (define @t492 () (not @t6)) % 0.51/0.72 (define @t493 () (or @t492 @t7)) % 0.51/0.72 (define @t494 () (=> tptp.powersetI @t285)) % 0.51/0.72 (define @t495 () (_ @t154 @t293)) % 0.51/0.72 (define @t496 () (= @t2 @t495)) % 0.51/0.72 (define @t497 () (@list @t4)) % 0.51/0.72 (define @t498 () (=> tptp.setoftrueEq @t494)) % 0.51/0.72 (define @t499 () (not @t26)) % 0.51/0.72 (define @t500 () (or @t499 @t128 @t21)) % 0.51/0.72 (define @t501 () (or @t128 @t21)) % 0.51/0.72 (define @t502 () (=> tptp.setadjoinOr @t498)) % 0.51/0.72 (define @t503 () (or @t499 @t128 @t295)) % 0.51/0.72 (define @t504 () (not false)) % 0.51/0.72 (define @t505 () (and @t295 @t504)) % 0.51/0.72 (define @t506 () (and @t128 @t504)) % 0.51/0.72 (define @t507 () (or @t506 @t505)) % 0.51/0.72 (define @t508 () (or @t506 @t505 false)) % 0.51/0.72 (define @t509 () (not @t171)) % 0.51/0.72 (define @t510 () (and @t295 @t509)) % 0.51/0.72 (define @t511 () (and @t128 @t509)) % 0.51/0.72 (define @t512 () (not (= @t171 false))) % 0.51/0.72 (define @t513 () (or @t171 @t511 @t510 @t171)) % 0.51/0.72 (define @t514 () (or @t511 @t510 @t171)) % 0.51/0.72 (define @t515 () (and @t21 @t509)) % 0.51/0.72 (define @t516 () (or @t511 @t515 @t171)) % 0.51/0.72 (define @t517 () (=> @t128 @t171)) % 0.51/0.72 (define @t518 () (=> tptp.setadjoinE @t502)) % 0.51/0.72 (define @t519 () (not @t21)) % 0.51/0.72 (define @t520 () (or @t519 @t26)) % 0.51/0.72 (define @t521 () (=> tptp.setadjoinIR @t518)) % 0.51/0.72 (define @t522 () (=> tptp.emptyinunitempty @t521)) % 0.51/0.72 (define @t523 () (=> tptp.setadjoinIL @t522)) % 0.51/0.72 (define @t524 () (not (= tptp.emptyset tptp.emptyset))) % 0.51/0.72 (define @t525 () (or @t309 @t524)) % 0.51/0.72 (define @t526 () (not @t192)) % 0.51/0.72 (define @t527 () (not (tptp.in @t308 @t2))) % 0.51/0.72 (define @t528 () (or @t526 @t527 @t526)) % 0.51/0.72 (define @t529 () (or @t527 @t526)) % 0.51/0.72 (define @t530 () (forall @t63 @t529)) % 0.51/0.72 (define @t531 () (forall @t310 @t530)) % 0.51/0.72 (define @t532 () (forall (@list @t308 @t2) @t529)) % 0.51/0.72 (define @t533 () (forall (@list @t2 @t308) @t529)) % 0.51/0.72 (define @t534 () (forall @t310 @t529)) % 0.51/0.72 (define @t535 () (forall @t310 @t527)) % 0.51/0.72 (define @t536 () (or @t535 @t526)) % 0.51/0.72 (define @t537 () (not @t320)) % 0.51/0.72 (define @t538 () (_ @t282 @t2)) % 0.51/0.72 (define @t539 () (not @t194)) % 0.51/0.72 (define @t540 () (=> @t88 @t538)) % 0.51/0.72 (define @t541 () (forall @t63 @t540)) % 0.51/0.72 (define @t542 () (=> tptp.nonemptyI1 @t523)) % 0.51/0.72 (define @t543 () (lambda @t69 @t335)) % 0.51/0.72 (define @t544 () (tptp.dsetconstr @t2 @t543)) % 0.51/0.72 (define @t545 () (= tptp.emptyset @t544)) % 0.51/0.72 (define @t546 () (not @t545)) % 0.51/0.72 (define @t547 () (or @t316 @t315 @t546)) % 0.51/0.72 (define @t548 () (= tptp.emptyset @t155)) % 0.51/0.72 (define @t549 () (not @t548)) % 0.51/0.72 (define @t550 () (not @t143)) % 0.51/0.72 (define @t551 () (or @t193 @t550 @t549)) % 0.51/0.72 (define @t552 () (=> @t143 @t549)) % 0.51/0.72 (define @t553 () (not (= @t155 tptp.emptyset))) % 0.51/0.72 (define @t554 () (_ @t282 @t155)) % 0.51/0.72 (define @t555 () (=> @t143 @t554)) % 0.51/0.72 (define @t556 () (=> @t7 @t555)) % 0.51/0.72 (define @t557 () (forall @t158 @t556)) % 0.51/0.72 (define @t558 () (=> tptp.nonemptyI @t542)) % 0.51/0.72 (define @t559 () (=> @t538 @t88)) % 0.51/0.72 (define @t560 () (forall @t63 @t559)) % 0.51/0.72 (define @t561 () (=> tptp.nonemptyE1 @t558)) % 0.51/0.72 (define @t562 () (tptp.in @t4 @t544)) % 0.51/0.72 (define @t563 () (= @t314 @t562)) % 0.51/0.72 (define @t564 () (or @t316 @t563)) % 0.51/0.72 (define @t565 () (= @t143 @t156)) % 0.51/0.72 (define @t566 () (or @t193 @t565)) % 0.51/0.72 (define @t567 () (=> tptp.setbeta @t561)) % 0.51/0.72 (define @t568 () (=> tptp.noeltsimpempty @t567)) % 0.51/0.72 (define @t569 () (=> tptp.emptyI @t568)) % 0.51/0.72 (define @t570 () (=> @t290 @t3)) % 0.51/0.72 (define @t571 () (or @t193 @t6)) % 0.51/0.72 (define @t572 () (=> tptp.setext @t569)) % 0.51/0.72 (define @t573 () (or @t336 (= @t334 @t19))) % 0.51/0.72 (define @t574 () (forall @t69 @t573)) % 0.51/0.72 (define @t575 () (not @t574)) % 0.51/0.72 (define @t576 () (or @t338 @t337 @t575)) % 0.51/0.72 (define @t577 () (or @t337 @t575)) % 0.51/0.72 (define @t578 () (or @t577 @t338)) % 0.51/0.72 (define @t579 () (forall @t339 @t578)) % 0.51/0.72 (define @t580 () (@list @t334)) % 0.51/0.72 (define @t581 () (forall @t580 @t578)) % 0.51/0.72 (define @t582 () (forall @t580 @t577)) % 0.51/0.72 (define @t583 () (or @t582 @t338)) % 0.51/0.72 (define @t584 () (forall @t69 (or @t336 @t128))) % 0.51/0.72 (define @t585 () (not @t584)) % 0.51/0.72 (define @t586 () (forall @t9 (or @t315 @t585))) % 0.51/0.72 (define @t587 () (not @t586)) % 0.51/0.72 (define @t588 () (not @t587)) % 0.51/0.72 (define @t589 () (forall @t9 @t550)) % 0.51/0.72 (define @t590 () (not @t589)) % 0.51/0.72 (define @t591 () (or @t550 @t585)) % 0.51/0.72 (define @t592 () (not @t152)) % 0.51/0.72 (define @t593 () (or @t592 @t128)) % 0.51/0.72 (define @t594 () (_ @t144 @t19)) % 0.51/0.72 (define @t595 () (not @t594)) % 0.51/0.72 (define @t596 () (or @t595 @t128)) % 0.51/0.72 (define @t597 () (forall @t69 @t596)) % 0.51/0.72 (define @t598 () (not @t597)) % 0.51/0.72 (define @t599 () (_ @t144 @t4)) % 0.51/0.72 (define @t600 () (not @t599)) % 0.51/0.72 (define @t601 () (or @t600 @t598)) % 0.51/0.72 (define @t602 () (forall @t9 @t601)) % 0.51/0.72 (define @t603 () (not @t602)) % 0.51/0.72 (define @t604 () (lambda @t149 @t587)) % 0.51/0.72 (define @t605 () (_ @t604 @t144)) % 0.51/0.72 (define @t606 () (=> @t605 @t183)) % 0.51/0.72 (define @t607 () (forall @t149 @t606)) % 0.51/0.72 (define @t608 () (and @t143 @t584)) % 0.51/0.72 (define @t609 () (forall @t9 (not @t608))) % 0.51/0.72 (define @t610 () (not @t609)) % 0.51/0.72 (define @t611 () (=> tptp.exuE3e @t572)) % 0.51/0.72 (define @t612 () (=> tptp.notinemptyset @t611)) % 0.51/0.72 (define @t613 () (=> tptp.emptysetimpfalse @t612)) % 0.51/0.72 (define @t614 () (or @t171 @t171)) % 0.51/0.72 (define @t615 () (=> tptp.emptysetE @t613)) % 0.51/0.72 (define @t616 () (@var "BOUND_VARIABLE_8331" $$unsorted)) % 0.51/0.72 (define @t617 () (@list @t616)) % 0.51/0.72 (define @t618 () (lambda @t617 false)) % 0.51/0.72 (define @t619 () (@list @t616)) % 0.51/0.72 (define @t620 () (tptp.dsetconstr @t350 @t618)) % 0.51/0.72 (define @t621 () (tptp.in @t4 @t620)) % 0.51/0.72 (define @t622 () (not @t621)) % 0.51/0.72 (define @t623 () (or @t622 false)) % 0.51/0.72 (define @t624 () (lambda @t617 @t171)) % 0.51/0.72 (define @t625 () (tptp.dsetconstr @t350 @t624)) % 0.51/0.72 (define @t626 () (tptp.in @t4 @t625)) % 0.51/0.72 (define @t627 () (not @t626)) % 0.51/0.72 (define @t628 () (or @t171 @t627 @t171)) % 0.51/0.72 (define @t629 () (or @t627 @t171)) % 0.51/0.72 (define @t630 () (forall @t176 @t629)) % 0.51/0.72 (define @t631 () (forall @t9 @t630)) % 0.51/0.72 (define @t632 () (forall (@list @t4 @t171) @t629)) % 0.51/0.72 (define @t633 () (_ @t279 @t624)) % 0.51/0.72 (define @t634 () (_ @t5 @t633)) % 0.51/0.72 (define @t635 () (not @t634)) % 0.51/0.72 (define @t636 () (or @t635 @t171)) % 0.51/0.72 (define @t637 () (=> (_ @t5 @t280) @t171)) % 0.51/0.72 (define @t638 () (_ @t281 @t171)) % 0.51/0.72 (define @t639 () (=> (_ @t5 @t638) @t171)) % 0.51/0.72 (define @t640 () (forall @t173 @t639)) % 0.51/0.72 (define @t641 () (=> tptp.prop2setE @t615)) % 0.51/0.72 (define @t642 () (=> @t605 @t167)) % 0.51/0.72 (define @t643 () (forall @t149 @t642)) % 0.51/0.72 (define @t644 () (=> tptp.exuE1 @t641)) % 0.51/0.72 (define @t645 () (not @t562)) % 0.51/0.72 (define @t646 () (or @t645 @t314)) % 0.51/0.72 (define @t647 () (not @t156)) % 0.51/0.72 (define @t648 () (or @t647 @t143)) % 0.51/0.72 (define @t649 () (=> tptp.dsetconstrER @t644)) % 0.51/0.72 (define @t650 () (or @t645 @t287)) % 0.51/0.72 (define @t651 () (or @t647 @t7)) % 0.51/0.72 (define @t652 () (=> tptp.dsetconstrEL @t649)) % 0.51/0.72 (define @t653 () (or @t316 @t315 @t562)) % 0.51/0.72 (define @t654 () (or @t193 @t550 @t156)) % 0.51/0.72 (define @t655 () (=> tptp.dsetconstrI @t652)) % 0.51/0.72 (define @t656 () (or @t336 (= @t360 @t19))) % 0.51/0.72 (define @t657 () (forall @t69 @t656)) % 0.51/0.72 (define @t658 () (not @t657)) % 0.51/0.72 (define @t659 () (or @t362 @t361 @t658)) % 0.51/0.72 (define @t660 () (or @t361 @t658)) % 0.51/0.72 (define @t661 () (or @t660 @t362)) % 0.51/0.72 (define @t662 () (forall @t363 @t661)) % 0.51/0.72 (define @t663 () (@list @t360)) % 0.51/0.72 (define @t664 () (forall @t663 @t661)) % 0.51/0.72 (define @t665 () (forall @t663 @t660)) % 0.51/0.72 (define @t666 () (or @t665 @t362)) % 0.51/0.72 (define @t667 () (lambda @t9 @t314)) % 0.51/0.72 (define @t668 () (tptp.descr @t667)) % 0.51/0.72 (define @t669 () (_ @t142 @t668)) % 0.51/0.72 (define @t670 () (or @t586 @t669)) % 0.51/0.72 (define @t671 () (or @t586 @t146)) % 0.51/0.72 (define @t672 () (=> @t605 @t146)) % 0.51/0.72 (define @t673 () (forall @t149 @t672)) % 0.51/0.72 (define @t674 () (=> tptp.descrp @t655)) % 0.51/0.72 (define @t675 () (and @t413 @t406 @t402 @t390)) % 0.51/0.72 (define @t676 () (forall @t40 (not @t675))) % 0.51/0.72 (define @t677 () (not @t676)) % 0.51/0.72 (define @t678 () (@list @t385)) % 0.51/0.72 (define @t679 () (forall @t678 @t389)) % 0.51/0.72 (define @t680 () (forall @t678 @t386)) % 0.51/0.72 (define @t681 () (or @t388 @t680 @t384)) % 0.51/0.72 (define @t682 () (forall @t9 @t381)) % 0.51/0.72 (define @t683 () (or @t388 @t682 @t384)) % 0.51/0.72 (define @t684 () (not @t682)) % 0.51/0.72 (define @t685 () (and @t387 @t684)) % 0.51/0.72 (define @t686 () (not @t108)) % 0.51/0.72 (define @t687 () (not @t109)) % 0.51/0.72 (define @t688 () (or @t687 @t686 @t379 @t375)) % 0.51/0.72 (define @t689 () (and @t109 @t108 @t378 @t374)) % 0.51/0.72 (define @t690 () (forall @t111 (not @t689))) % 0.51/0.72 (define @t691 () (not @t690)) % 0.51/0.72 (define @t692 () (or @t368 @t367)) % 0.51/0.72 (define @t693 () (or @t371 @t692 @t369)) % 0.51/0.72 (define @t694 () (forall @t373 @t693)) % 0.51/0.72 (define @t695 () (@list @t366)) % 0.51/0.72 (define @t696 () (forall @t695 @t693)) % 0.51/0.72 (define @t697 () (forall @t695 @t692)) % 0.51/0.72 (define @t698 () (or @t371 @t697 @t369)) % 0.51/0.72 (define @t699 () (tptp.in @t19 @t92)) % 0.51/0.72 (define @t700 () (forall @t69 (or (not @t699) @t377))) % 0.51/0.72 (define @t701 () (not @t99)) % 0.51/0.72 (define @t702 () (or @t701 @t700 @t93)) % 0.51/0.72 (define @t703 () (or @t700 @t93)) % 0.51/0.72 (define @t704 () (not @t96)) % 0.51/0.72 (define @t705 () (or @t704 @t95)) % 0.51/0.72 (define @t706 () (not @t104)) % 0.51/0.72 (define @t707 () (not @t95)) % 0.51/0.72 (define @t708 () (or @t707 @t706)) % 0.51/0.72 (define @t709 () (forall @t69 (not @t105))) % 0.51/0.72 (define @t710 () (not @t709)) % 0.51/0.72 (define @t711 () (forall @t9 @t686)) % 0.51/0.72 (define @t712 () (not @t711)) % 0.51/0.72 (define @t713 () (or @t686 @t7)) % 0.51/0.72 (define @t714 () (or @t394 @t393)) % 0.51/0.72 (define @t715 () (or @t397 @t396)) % 0.51/0.72 (define @t716 () (or @t399 @t383 @t715 @t714)) % 0.51/0.72 (define @t717 () (forall @t401 @t716)) % 0.51/0.72 (define @t718 () (forall (@list @t395 @t392) @t716)) % 0.51/0.72 (define @t719 () (forall (@list @t392) @t714)) % 0.51/0.72 (define @t720 () (forall (@list @t395) @t715)) % 0.51/0.72 (define @t721 () (or @t399 @t383 @t720 @t719)) % 0.51/0.72 (define @t722 () (tptp.in @t4 @t94)) % 0.51/0.72 (define @t723 () (forall @t9 (or (not @t722) @t380))) % 0.51/0.72 (define @t724 () (forall @t9 (or @t381 @t722))) % 0.51/0.72 (define @t725 () (not @t123)) % 0.51/0.72 (define @t726 () (or @t725 @t687 @t724 @t723)) % 0.51/0.72 (define @t727 () (or @t724 @t723)) % 0.51/0.72 (define @t728 () (not @t119)) % 0.51/0.72 (define @t729 () (or @t728 @t108)) % 0.51/0.72 (define @t730 () (or @t686 @t119)) % 0.51/0.72 (define @t731 () (or @t193 @t519 @t405 @t128)) % 0.51/0.72 (define @t732 () (=> @t404 @t128)) % 0.51/0.72 (define @t733 () (or @t725 @t129)) % 0.51/0.72 (define @t734 () (or @t410 @t409)) % 0.51/0.72 (define @t735 () (or @t399 @t734)) % 0.51/0.72 (define @t736 () (forall @t412 @t735)) % 0.51/0.72 (define @t737 () (@list @t408)) % 0.51/0.72 (define @t738 () (forall @t737 @t735)) % 0.51/0.72 (define @t739 () (forall @t737 @t734)) % 0.51/0.72 (define @t740 () (or @t399 @t739)) % 0.51/0.72 (define @t741 () (or @t725 @t387)) % 0.51/0.72 (define @t742 () (=> tptp.wellorderingAx @t674)) % 0.51/0.72 (define @t743 () (@list @t423)) % 0.51/0.72 (define @t744 () (forall @t743 @t425)) % 0.51/0.72 (define @t745 () (forall @t743 @t424)) % 0.51/0.72 (define @t746 () (or @t745 @t422)) % 0.51/0.72 (define @t747 () (not @t38)) % 0.51/0.72 (define @t748 () (or @t747 @t419)) % 0.51/0.72 (define @t749 () (and @t38 @t418)) % 0.51/0.72 (define @t750 () (forall @t40 (not @t749))) % 0.51/0.72 (define @t751 () (not @t750)) % 0.51/0.72 (define @t752 () (or @t492 @t193)) % 0.51/0.72 (define @t753 () (forall @t9 (not @t83))) % 0.51/0.72 (define @t754 () (not @t753)) % 0.51/0.72 (define @t755 () (=> tptp.foundationAx @t742)) % 0.51/0.72 (define @t756 () (= @t6 @t429)) % 0.51/0.72 (define @t757 () (not @t67)) % 0.51/0.72 (define @t758 () (or @t519 @t757)) % 0.51/0.72 (define @t759 () (forall @t69 (not @t68))) % 0.51/0.72 (define @t760 () (not @t759)) % 0.51/0.72 (define @t761 () (or @t193 @t438)) % 0.51/0.72 (define @t762 () (_ @t74 @t432)) % 0.51/0.72 (define @t763 () (not @t762)) % 0.51/0.72 (define @t764 () (or @t763 @t435)) % 0.51/0.72 (define @t765 () (not @t75)) % 0.51/0.72 (define @t766 () (or @t765 @t433)) % 0.51/0.72 (define @t767 () (_ @t76 @t19)) % 0.51/0.72 (define @t768 () (not @t767)) % 0.51/0.72 (define @t769 () (or @t768 @t433)) % 0.51/0.72 (define @t770 () (forall @t69 @t769)) % 0.51/0.72 (define @t771 () (not @t770)) % 0.51/0.72 (define @t772 () (_ @t76 @t432)) % 0.51/0.72 (define @t773 () (not @t772)) % 0.51/0.72 (define @t774 () (or @t773 @t771)) % 0.51/0.72 (define @t775 () (forall @t437 @t774)) % 0.51/0.72 (define @t776 () (not @t775)) % 0.51/0.72 (define @t777 () (not (_ @t142 @t432))) % 0.51/0.72 (define @t778 () (or @t336 (= @t432 @t19))) % 0.51/0.72 (define @t779 () (forall @t69 @t778)) % 0.51/0.72 (define @t780 () (not @t779)) % 0.51/0.72 (define @t781 () (or @t777 @t780)) % 0.51/0.72 (define @t782 () (forall @t437 @t781)) % 0.51/0.72 (define @t783 () (not @t782)) % 0.51/0.72 (define @t784 () (=> @t7 (_ @t604 @t76))) % 0.51/0.72 (define @t785 () (forall @t9 @t784)) % 0.51/0.72 (define @t786 () (=> @t785 @t73)) % 0.51/0.72 (define @t787 () (forall @t80 @t786)) % 0.51/0.72 (define @t788 () (=> tptp.replAx @t755)) % 0.51/0.72 (define @t789 () (or @t444 @t443)) % 0.51/0.72 (define @t790 () (or @t452 @t450 @t789)) % 0.51/0.72 (define @t791 () (forall @t454 @t790)) % 0.51/0.72 (define @t792 () (@list @t442)) % 0.51/0.72 (define @t793 () (forall @t792 @t790)) % 0.51/0.72 (define @t794 () (forall @t792 @t789)) % 0.51/0.72 (define @t795 () (or @t452 @t450 @t794)) % 0.51/0.72 (define @t796 () (forall @t9 (or @t448 @t287))) % 0.51/0.72 (define @t797 () (not @t60)) % 0.51/0.72 (define @t798 () (or @t797 @t450 @t796)) % 0.51/0.72 (define @t799 () (and @t60 @t449)) % 0.51/0.72 (define @t800 () (not @t53)) % 0.51/0.72 (define @t801 () (or @t800 @t7)) % 0.51/0.72 (define @t802 () (_ tptp.in @t445)) % 0.51/0.72 (define @t803 () (or @t800 @t193 @t57)) % 0.51/0.72 (define @t804 () (=> tptp.omegaIndAx @t788)) % 0.51/0.72 (define @t805 () (or @t800 @t52)) % 0.51/0.72 (define @t806 () (=> tptp.omegaSAx @t804)) % 0.51/0.72 (define @t807 () (=> tptp.omega0Ax @t806)) % 0.51/0.72 (define @t808 () (= @t43 @t464)) % 0.51/0.72 (define @t809 () (or @t492 @t747)) % 0.51/0.72 (define @t810 () (forall @t40 (not @t39))) % 0.51/0.72 (define @t811 () (not @t810)) % 0.51/0.72 (define @t812 () (=> tptp.setunionAx @t807)) % 0.51/0.72 (define @t813 () (= @t34 @t290)) % 0.51/0.72 (define @t814 () (=> tptp.powersetAx @t812)) % 0.51/0.72 (define @t815 () (= @t26 @t501)) % 0.51/0.72 (define @t816 () (=> tptp.setadjoinAx @t814)) % 0.51/0.72 (define @t817 () (=> tptp.emptysetAx @t816)) % 0.51/0.72 (define @t818 () (=> tptp.setextAx @t817)) % 0.51/0.72 (define @t819 () (@quantifiers_skolemize @t285 0)) % 0.51/0.72 (define @t820 () (forall @t9 (or @t343 (tptp.in @t4 @t819)))) % 0.51/0.72 (define @t821 () (tptp.in tptp.emptyset (tptp.powerset @t819))) % 0.51/0.72 (define @t822 () (= @t820 @t821)) % 0.51/0.72 (define @t823 () (= @t821 @t820)) % 0.51/0.72 (define @t824 () (not @t820)) % 0.51/0.72 (define @t825 () (@quantifiers_skolemize @t820 0)) % 0.51/0.72 (define @t826 () (tptp.in @t825 tptp.emptyset)) % 0.51/0.72 (define @t827 () (not @t826)) % 0.51/0.72 (define @t828 () (or @t827 (tptp.in @t825 @t819))) % 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 @t37) % 0.51/0.72 (assume @p5 @t47) % 0.51/0.72 (assume @p6 (= tptp.omega0Ax @t49)) % 0.51/0.72 (assume @p7 @t55) % 0.51/0.72 (assume @p8 @t65) % 0.51/0.72 (assume @p9 @t82) % 0.51/0.72 (assume @p10 @t91) % 0.51/0.72 (assume @p11 @t141) % 0.51/0.72 (assume @p12 @t151) % 0.51/0.72 (assume @p13 @t160) % 0.51/0.72 (assume @p14 @t162) % 0.51/0.72 (assume @p15 @t164) % 0.51/0.72 (assume @p16 @t170) % 0.51/0.72 (assume @p17 @t175) % 0.51/0.72 (assume @p18 @t180) % 0.51/0.72 (assume @p19 @t182) % 0.51/0.72 (assume @p20 (= tptp.notinemptyset @t17)) % 0.51/0.72 (assume @p21 @t186) % 0.51/0.72 (assume @p22 @t191) % 0.51/0.72 (assume @p23 @t197) % 0.51/0.72 (assume @p24 (= tptp.noeltsimpempty @t196)) % 0.51/0.72 (assume @p25 @t200) % 0.51/0.72 (assume @p26 @t204) % 0.51/0.72 (assume @p27 @t208) % 0.51/0.72 (assume @p28 @t211) % 0.51/0.72 (assume @p29 @t215) % 0.51/0.72 (assume @p30 (= tptp.emptyinunitempty @t217)) % 0.51/0.72 (assume @p31 @t219) % 0.51/0.72 (assume @p32 @t227) % 0.51/0.72 (assume @p33 @t230) % 0.51/0.72 (assume @p34 @t234) % 0.51/0.72 (assume @p35 @t237) % 0.51/0.72 (assume @p36 @t275) % 0.51/0.72 (assume @p37 true) % 0.51/0.72 (step @p38 (= tptp.exu @t276) :rule refl :args (@t276)) % 0.51/0.72 (step @p39 (= tptp.prop2set @t281) :rule refl :args (@t281)) % 0.51/0.72 (step @p40 (= tptp.nonempty @t282) :rule refl :args (@t282)) % 0.51/0.72 (step @p41 :rule refl :args (@t300)) % 0.51/0.72 (step @p42 :rule refl :args ((tptp.in tptp.emptyset @t216))) % 0.51/0.72 (step @p43 :rule refl :args (@t301)) % 0.51/0.72 (step @p44 :rule refl :args (tptp.emptyset)) % 0.51/0.72 (step @p45 :rule cong :premises (@p44 @p43) :args (@t302)) % 0.51/0.72 (step @p46 :rule trans :premises (@p45 @p42)) % 0.51/0.72 (step @p47 :rule refl :args (@t48)) % 0.51/0.72 (step @p48 :rule ho_cong :premises (@p47 @p43)) % 0.51/0.72 (step @p49 :rule cong :premises (@p48 @p46) :args ((= (_ @t48 @t301) @t302))) % 0.51/0.72 (step @p50 :rule symm :premises (@p49)) % 0.51/0.72 (step @p51 :rule refl :args (@t217)) % 0.51/0.72 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.51/0.72 (step @p53 :rule refl :args (@t216)) % 0.51/0.72 (step @p54 :rule cong :premises (@p53 @p43) :args ((= @t216 @t301))) % 0.51/0.72 (step @p55 :rule symm :premises (@p54)) % 0.51/0.72 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.51/0.72 (step @p57 :rule refl :args (@t48)) % 0.51/0.72 (step @p58 :rule ho_cong :premises (@p57 @p56)) % 0.51/0.72 (step @p59 :rule trans :premises (@p58 @p52)) % 0.51/0.72 (step @p60 :rule cong :premises (@p59 @p41) :args (@t303)) % 0.51/0.72 (step @p61 :rule refl :args (@t306)) % 0.51/0.72 (step @p62 :rule cong :premises (@p61 @p60) :args (@t307)) % 0.51/0.72 (step @p63 :rule refl :args (@t311)) % 0.51/0.72 (step @p64 :rule cong :premises (@p63 @p62) :args (@t312)) % 0.51/0.72 (step @p65 :rule refl :args (@t317)) % 0.51/0.72 (step @p66 :rule cong :premises (@p65 @p64) :args (@t318)) % 0.51/0.72 (step @p67 :rule refl :args (@t321)) % 0.51/0.72 (step @p68 :rule cong :premises (@p67 @p66) :args (@t322)) % 0.51/0.72 (step @p69 :rule refl :args (@t324)) % 0.51/0.72 (step @p70 :rule cong :premises (@p69 @p68) :args (@t325)) % 0.51/0.72 (step @p71 :rule refl :args (@t326)) % 0.51/0.72 (step @p72 :rule cong :premises (@p71 @p70) :args (@t327)) % 0.51/0.72 (step @p73 :rule cong :premises (@p71 @p72) :args (@t328)) % 0.51/0.72 (step @p74 :rule refl :args (@t332)) % 0.51/0.72 (step @p75 :rule cong :premises (@p74 @p73) :args (@t333)) % 0.51/0.72 (step @p76 :rule refl :args (@t340)) % 0.51/0.72 (step @p77 :rule cong :premises (@p76 @p75) :args (@t341)) % 0.51/0.72 (step @p78 :rule refl :args (@t344)) % 0.51/0.72 (step @p79 :rule cong :premises (@p78 @p77) :args (@t345)) % 0.51/0.72 (step @p80 :rule cong :premises (@p78 @p79) :args (@t346)) % 0.51/0.72 (step @p81 :rule cong :premises (@p78 @p80) :args (@t347)) % 0.51/0.72 (step @p82 :rule refl :args (@t351)) % 0.51/0.72 (step @p83 :rule cong :premises (@p82 @p81) :args (@t352)) % 0.51/0.72 (step @p84 :rule refl :args (@t354)) % 0.51/0.72 (step @p85 :rule cong :premises (@p84 @p83) :args (@t355)) % 0.51/0.72 (step @p86 :rule refl :args (@t356)) % 0.51/0.72 (step @p87 :rule cong :premises (@p86 @p85) :args (@t357)) % 0.51/0.72 (step @p88 :rule refl :args (@t358)) % 0.51/0.72 (step @p89 :rule cong :premises (@p88 @p87) :args (@t359)) % 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 (@t416)) % 0.51/0.72 (step @p93 :rule cong :premises (@p92 @p91) :args (@t417)) % 0.51/0.72 (step @p94 :rule refl :args (@t426)) % 0.51/0.72 (step @p95 :rule cong :premises (@p94 @p93) :args (@t427)) % 0.51/0.72 (step @p96 :rule refl :args (@t440)) % 0.51/0.72 (step @p97 :rule cong :premises (@p96 @p95) :args (@t441)) % 0.51/0.72 (step @p98 :rule refl :args (@t455)) % 0.51/0.72 (step @p99 :rule cong :premises (@p98 @p97) :args (@t456)) % 0.51/0.72 (step @p100 :rule refl :args (@t458)) % 0.51/0.72 (step @p101 :rule cong :premises (@p100 @p99) :args (@t459)) % 0.51/0.72 (step @p102 :rule refl :args (@t460)) % 0.51/0.72 (step @p103 :rule refl :args (@t49)) % 0.51/0.72 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t49 @t460))) % 0.51/0.72 (step @p105 :rule symm :premises (@p104)) % 0.51/0.72 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.51/0.72 (step @p107 :rule cong :premises (@p106 @p101) :args (@t461)) % 0.51/0.72 (step @p108 :rule refl :args (@t465)) % 0.51/0.72 (step @p109 :rule cong :premises (@p108 @p107) :args (@t466)) % 0.51/0.72 (step @p110 :rule refl :args (@t467)) % 0.51/0.72 (step @p111 :rule cong :premises (@p110 @p109) :args (@t468)) % 0.51/0.72 (step @p112 :rule refl :args (@t470)) % 0.51/0.72 (step @p113 :rule cong :premises (@p112 @p111) :args (@t471)) % 0.51/0.72 (step @p114 :rule cong :premises (@p78 @p113) :args (@t472)) % 0.51/0.72 (step @p115 :rule refl :args (@t474)) % 0.51/0.72 (step @p116 :rule cong :premises (@p115 @p114) :args (@t475)) % 0.51/0.72 (step @p117 :rule cong :premises (@p116) :args ((not @t475))) % 0.51/0.72 (step @p118 :rule bool-impl-true2 :args (@t352)) % 0.51/0.72 (step @p119 :rule cong :premises (@p84 @p118) :args (@t476)) % 0.51/0.72 (step @p120 :rule cong :premises (@p86 @p119) :args (@t477)) % 0.51/0.72 (step @p121 :rule cong :premises (@p88 @p120) :args (@t478)) % 0.51/0.72 (step @p122 :rule cong :premises (@p90 @p121) :args (@t479)) % 0.51/0.72 (step @p123 :rule cong :premises (@p92 @p122) :args (@t480)) % 0.51/0.72 (step @p124 :rule cong :premises (@p94 @p123) :args (@t481)) % 0.51/0.72 (step @p125 :rule cong :premises (@p96 @p124) :args (@t482)) % 0.51/0.72 (step @p126 :rule cong :premises (@p98 @p125) :args (@t483)) % 0.51/0.72 (step @p127 :rule cong :premises (@p100 @p126) :args (@t484)) % 0.51/0.72 (step @p128 :rule refl :args (@t49)) % 0.51/0.72 (step @p129 :rule cong :premises (@p128 @p127) :args (@t485)) % 0.51/0.72 (step @p130 :rule cong :premises (@p108 @p129) :args (@t486)) % 0.51/0.72 (step @p131 :rule cong :premises (@p110 @p130) :args (@t487)) % 0.51/0.72 (step @p132 :rule cong :premises (@p112 @p131) :args (@t488)) % 0.51/0.72 (step @p133 :rule cong :premises (@p78 @p132) :args (@t489)) % 0.51/0.72 (step @p134 :rule cong :premises (@p115 @p133) :args (@t490)) % 0.51/0.72 (step @p135 :rule cong :premises (@p134) :args ((not @t490))) % 0.51/0.72 (step @p136 :rule refl :args (@t285)) % 0.51/0.72 (step @p137 :rule refl :args ((tptp.in @t1 @t32))) % 0.51/0.72 (step @p138 :rule refl :args (@t283)) % 0.51/0.72 (step @p139 :rule refl :args (@t1)) % 0.51/0.72 (step @p140 :rule cong :premises (@p139 @p138) :args (@t286)) % 0.51/0.72 (step @p141 :rule trans :premises (@p140 @p137)) % 0.51/0.72 (step @p142 :rule refl :args (@t33)) % 0.51/0.72 (step @p143 :rule ho_cong :premises (@p142 @p138)) % 0.51/0.72 (step @p144 :rule cong :premises (@p143 @p141) :args ((= (_ @t33 @t283) @t286))) % 0.51/0.72 (step @p145 :rule symm :premises (@p144)) % 0.51/0.72 (step @p146 :rule refl :args (@t34)) % 0.51/0.72 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.51/0.72 (step @p148 :rule refl :args (@t32)) % 0.51/0.72 (step @p149 :rule cong :premises (@p148 @p138) :args ((= @t32 @t283))) % 0.51/0.72 (step @p150 :rule symm :premises (@p149)) % 0.51/0.72 (step @p151 :rule eq_resolve :premises (@p148 @p150)) % 0.51/0.72 (step @p152 :rule ho_cong :premises (@p142 @p151)) % 0.51/0.72 (step @p153 :rule trans :premises (@p152 @p147)) % 0.51/0.72 (step @p154 :rule refl :args (@t291)) % 0.51/0.72 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t491)) % 0.51/0.72 (step @p156 :rule cong :premises (@p155) :args ((forall @t12 @t491))) % 0.51/0.72 (step @p157 :rule bool-impl-elim :args (@t290 @t34)) % 0.51/0.72 (step @p158 :rule cong :premises (@p157) :args ((forall @t12 (=> @t290 @t34)))) % 0.51/0.72 (step @p159 :rule trans :premises (@p158 @p156)) % 0.51/0.72 (step @p160 :rule refl :args (@t34)) % 0.51/0.72 (step @p161 :rule refl :args (@t287)) % 0.51/0.72 (step @p162 :rule refl :args (@t7)) % 0.51/0.72 (step @p163 :rule cong :premises (@p162 @p161) :args ((= @t7 @t287))) % 0.51/0.72 (step @p164 :rule symm :premises (@p163)) % 0.51/0.72 (step @p165 :rule eq_resolve :premises (@p162 @p164)) % 0.51/0.72 (step @p166 :rule refl :args (@t288)) % 0.51/0.72 (step @p167 :rule refl :args (@t6)) % 0.51/0.72 (step @p168 :rule cong :premises (@p167 @p166) :args ((= @t6 @t288))) % 0.51/0.72 (step @p169 :rule symm :premises (@p168)) % 0.51/0.72 (step @p170 :rule eq_resolve :premises (@p167 @p169)) % 0.51/0.72 (step @p171 :rule cong :premises (@p170) :args (@t492)) % 0.51/0.72 (step @p172 :rule nary_cong :premises (@p171 @p165) :args (@t493)) % 0.51/0.72 (step @p173 :rule cong :premises (@p172) :args ((forall @t9 @t493))) % 0.51/0.72 (step @p174 :rule bool-impl-elim :args (@t6 @t7)) % 0.51/0.72 (step @p175 :rule cong :premises (@p174) :args (@t31)) % 0.51/0.72 (step @p176 :rule trans :premises (@p175 @p173)) % 0.51/0.72 (step @p177 :rule cong :premises (@p176 @p160) :args (@t235)) % 0.51/0.72 (step @p178 :rule cong :premises (@p177) :args (@t236)) % 0.51/0.72 (step @p179 :rule trans :premises (@p178 @p159)) % 0.51/0.72 (step @p180 :rule refl :args (tptp.powersetI)) % 0.51/0.72 (step @p181 :rule cong :premises (@p180 @p179) :args (@t237)) % 0.51/0.72 (step @p182 :rule eq_resolve :premises (@p35 @p181)) % 0.51/0.72 (step @p183 :rule cong :premises (@p182 @p136) :args (@t494)) % 0.51/0.72 (step @p184 :rule refl :args (@t294)) % 0.51/0.72 (step @p185 :rule refl :args (@t293)) % 0.51/0.72 (step @p186 :rule refl :args (@t2)) % 0.51/0.72 (step @p187 :rule cong :premises (@p186 @p185) :args (@t294)) % 0.51/0.72 (step @p188 :rule trans :premises (@p187 @p184)) % 0.51/0.72 (step @p189 :rule refl :args (@t154)) % 0.51/0.72 (step @p190 :rule ho_cong :premises (@p189 @p185)) % 0.51/0.72 (step @p191 :rule cong :premises (@p190 @p188) :args ((= @t495 @t294))) % 0.51/0.72 (step @p192 :rule symm :premises (@p191)) % 0.51/0.72 (step @p193 :rule refl :args ((_ @t154 @t293))) % 0.51/0.72 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.51/0.72 (step @p195 :rule cong :premises (@p186 @p194) :args (@t496)) % 0.51/0.72 (step @p196 :rule cong :premises (@p195) :args ((forall @t63 @t496))) % 0.51/0.72 (step @p197 :rule eq-symm :args (@t495 @t2)) % 0.51/0.72 (step @p198 :rule refl :args (@t2)) % 0.51/0.72 (step @p199 :rule symm :premises (@p185)) % 0.51/0.72 (step @p200 :rule alpha_equiv :args (@t231 @t497 (@list @t292))) % 0.51/0.72 (step @p201 :rule trans :premises (@p200 @p199)) % 0.51/0.72 (step @p202 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(step @p1551 :rule not_implies_elim2 :premises (@p1549)) % 0.51/0.73 (step @p1552 :rule not_implies_elim2 :premises (@p1551)) % 0.51/0.73 (step @p1553 :rule not_implies_elim1 :premises (@p1552)) % 0.51/0.73 (step @p1554 :rule eq-symm :args (@t820 @t821)) % 0.51/0.73 (step @p1555 :rule cong :premises (@p110 @p1554) :args ((=> @t467 @t822))) % 0.51/0.73 (assume-push @p1612 @t467) % 0.51/0.73 (step @p1557 :rule instantiate :premises (@p1553) :args ((@list @t819 tptp.emptyset))) % 0.51/0.73 (step-pop @p1613 :rule scope :premises (@p1557)) % 0.51/0.73 (step @p1558 :rule process_scope :premises (@p1613) :args (@t822)) % 0.51/0.73 (step @p1560 :rule eq_resolve :premises (@p1558 @p1555)) % 0.51/0.73 (step @p1561 :rule implies_elim :premises (@p1560)) % 0.51/0.73 (step @p1562 :rule chain_m_resolution :premises (@p1561 @p1553) :args (@t823 (@list false) (@list @t467))) % 0.51/0.73 (step @p1563 :rule not_implies_elim2 :premises (@p1552)) % 0.51/0.73 (step @p1564 :rule not_implies_elim2 :premises (@p1563)) % 0.51/0.73 (step @p1565 :rule not_implies_elim2 :premises (@p1564)) % 0.51/0.73 (step @p1566 :rule not_implies_elim2 :premises (@p1565)) % 0.51/0.73 (step @p1567 :rule not_implies_elim2 :premises (@p1566)) % 0.51/0.73 (step @p1568 :rule not_implies_elim2 :premises (@p1567)) % 0.51/0.73 (step @p1569 :rule not_implies_elim2 :premises (@p1568)) % 0.51/0.73 (step @p1570 :rule not_implies_elim2 :premises (@p1569)) % 0.51/0.73 (step @p1571 :rule not_implies_elim2 :premises (@p1570)) % 0.51/0.73 (step @p1572 :rule not_implies_elim2 :premises (@p1571)) % 0.51/0.73 (step @p1573 :rule not_implies_elim2 :premises (@p1572)) % 0.51/0.73 (step @p1574 :rule not_implies_elim2 :premises (@p1573)) % 0.51/0.73 (step @p1575 :rule not_implies_elim2 :premises (@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_elim2 :premises (@p1578)) % 0.51/0.73 (step @p1580 :rule not_implies_elim2 :premises (@p1579)) % 0.51/0.73 (step @p1581 :rule not_implies_elim2 :premises (@p1580)) % 0.51/0.73 (step @p1582 :rule not_implies_elim2 :premises (@p1581)) % 0.51/0.73 (step @p1583 :rule not_implies_elim2 :premises (@p1582)) % 0.51/0.73 (step @p1584 :rule not_implies_elim2 :premises (@p1583)) % 0.51/0.73 (step @p1585 :rule not_implies_elim2 :premises (@p1584)) % 0.51/0.73 (step @p1586 :rule not_implies_elim2 :premises (@p1585)) % 0.51/0.73 (step @p1587 :rule not_implies_elim2 :premises (@p1586)) % 0.51/0.73 (step @p1588 :rule not_implies_elim2 :premises (@p1587)) % 0.51/0.73 (step @p1589 :rule not_implies_elim2 :premises (@p1588)) % 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 skolemize :premises (@p1593)) % 0.51/0.73 (step @p1595 :rule cnf_equiv_pos2 :args (@t823)) % 0.51/0.73 (step @p1596 :rule reordering :premises (@p1595) :args ((or @t821 @t824 (not @t823)))) % 0.51/0.73 (step @p1597 :rule chain_m_resolution :premises (@p1596 @p1594 @p1562) :args (@t824 (@list true false) (@list @t821 @t823))) % 0.51/0.73 (step @p1598 :rule skolemize :premises (@p1597)) % 0.51/0.73 (step @p1599 :rule bool-double-not-elim :args (@t826)) % 0.51/0.73 (step @p1600 :rule refl :args (@t828)) % 0.51/0.73 (step @p1601 :rule nary_cong :premises (@p1600 @p1599) :args ((or @t828 (not @t827)))) % 0.51/0.73 (step @p1602 :rule cnf_or_neg :args (@t828 0)) % 0.51/0.73 (step @p1603 :rule eq_resolve :premises (@p1602 @p1601)) % 0.51/0.73 (step @p1604 :rule reordering :premises (@p1603) :args ((or @t826 @t828))) % 0.51/0.73 (step @p1605 :rule chain_m_resolution :premises (@p1604 @p1598) :args (@t826 (@list true) (@list @t828))) % 0.51/0.73 (assume-push @p1614 @t344) % 0.51/0.73 (step @p1607 :rule instantiate :premises (@p1550) :args ((@list @t825))) % 0.51/0.73 (step-pop @p1615 :rule scope :premises (@p1607)) % 0.51/0.73 (step @p1608 :rule process_scope :premises (@p1615) :args (@t827)) % 0.51/0.73 (step @p1610 :rule implies_elim :premises (@p1608)) % 0.51/0.73 (step @p1611 false :rule chain_m_resolution :premises (@p1610 @p1605 @p1550) :args (false (@list false false) (@list @t826 @t344))) % 0.51/0.73 ) % 0.51/0.73 % SZS output end Proof % 0.51/0.73 % cvc5 exiting %------------------------------------------------------------------------------