%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU515^1 : 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 : n025.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 08:52:01 AM UTC 2026 % Result : Theorem 0.53s 0.70s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU515^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n025.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:40:16 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.53/0.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.70 % SZS status Theorem % 0.53/0.70 % SZS output start Proof % 0.53/0.70 ( % 0.53/0.70 (declare-sort $$unsorted 0) % 0.53/0.70 (declare-const tptp.emptyset $$unsorted) % 0.53/0.70 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.53/0.70 (declare-const tptp.emptyinunitempty Bool) % 0.53/0.70 (declare-const tptp.nonemptyI1 Bool) % 0.53/0.70 (declare-const tptp.nonemptyI Bool) % 0.53/0.70 (declare-const tptp.nonemptyE1 Bool) % 0.53/0.70 (declare-const tptp.noeltsimpempty Bool) % 0.53/0.70 (declare-const tptp.emptyI Bool) % 0.53/0.70 (declare-const tptp.omegaIndAx Bool) % 0.53/0.70 (declare-const tptp.omega0Ax Bool) % 0.53/0.70 (declare-const tptp.setadjoinIL Bool) % 0.53/0.70 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.powersetAx Bool) % 0.53/0.70 (declare-const tptp.omegaSAx Bool) % 0.53/0.70 (declare-const tptp.setext Bool) % 0.53/0.70 (declare-const tptp.setadjoinAx Bool) % 0.53/0.70 (declare-const tptp.setbeta Bool) % 0.53/0.70 (declare-const tptp.dsetconstrER Bool) % 0.53/0.70 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.setadjoinIR Bool) % 0.53/0.70 (declare-const tptp.notinemptyset Bool) % 0.53/0.70 (declare-const tptp.foundationAx Bool) % 0.53/0.70 (declare-const tptp.setextAx Bool) % 0.53/0.70 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.emptysetAx Bool) % 0.53/0.70 (declare-const tptp.dsetconstrEL Bool) % 0.53/0.70 (declare-const tptp.replAx Bool) % 0.53/0.70 (declare-const tptp.emptysetimpfalse Bool) % 0.53/0.70 (declare-const tptp.wellorderingAx Bool) % 0.53/0.70 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.53/0.70 (declare-const tptp.exuE1 Bool) % 0.53/0.70 (declare-const tptp.descrp Bool) % 0.53/0.70 (declare-const tptp.dsetconstrI Bool) % 0.53/0.70 (declare-const tptp.omega $$unsorted) % 0.53/0.70 (declare-const tptp.exuE3e Bool) % 0.53/0.70 (declare-const tptp.prop2setE Bool) % 0.53/0.70 (declare-const tptp.setunionAx Bool) % 0.53/0.70 (declare-const tptp.emptysetE Bool) % 0.53/0.70 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.53/0.70 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.53/0.70 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.53/0.70 (define @t1 () (@var "B" $$unsorted)) % 0.53/0.70 (define @t2 () (@var "A" $$unsorted)) % 0.53/0.70 (define @t3 () (= @t2 @t1)) % 0.53/0.70 (define @t4 () (@var "Xx" $$unsorted)) % 0.53/0.70 (define @t5 () (_ tptp.in @t4)) % 0.53/0.70 (define @t6 () (_ @t5 @t1)) % 0.53/0.70 (define @t7 () (_ @t5 @t2)) % 0.53/0.70 (define @t8 () (= @t7 @t6)) % 0.53/0.70 (define @t9 () (@list @t4)) % 0.53/0.70 (define @t10 () (forall @t9 @t8)) % 0.53/0.70 (define @t11 () (=> @t10 @t3)) % 0.53/0.70 (define @t12 () (@list @t2 @t1)) % 0.53/0.70 (define @t13 () (forall @t12 @t11)) % 0.53/0.70 (define @t14 () (= tptp.setextAx @t13)) % 0.53/0.70 (define @t15 () (_ @t5 tptp.emptyset)) % 0.53/0.70 (define @t16 () (not @t15)) % 0.53/0.70 (define @t17 () (forall @t9 @t16)) % 0.53/0.70 (define @t18 () (= tptp.emptysetAx @t17)) % 0.53/0.70 (define @t19 () (@var "Xy" $$unsorted)) % 0.53/0.70 (define @t20 () (_ tptp.in @t19)) % 0.53/0.70 (define @t21 () (_ @t20 @t2)) % 0.53/0.70 (define @t22 () (= @t19 @t4)) % 0.53/0.70 (define @t23 () (or @t22 @t21)) % 0.53/0.70 (define @t24 () (_ tptp.setadjoin @t4)) % 0.53/0.70 (define @t25 () (_ @t24 @t2)) % 0.53/0.70 (define @t26 () (_ @t20 @t25)) % 0.53/0.70 (define @t27 () (= @t26 @t23)) % 0.53/0.70 (define @t28 () (@list @t4 @t2 @t19)) % 0.53/0.70 (define @t29 () (forall @t28 @t27)) % 0.53/0.70 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.53/0.70 (define @t31 () (forall @t9 (=> @t6 @t7))) % 0.53/0.70 (define @t32 () (_ tptp.powerset @t2)) % 0.53/0.70 (define @t33 () (_ tptp.in @t1)) % 0.53/0.70 (define @t34 () (_ @t33 @t32)) % 0.53/0.70 (define @t35 () (= @t34 @t31)) % 0.53/0.70 (define @t36 () (forall @t12 @t35)) % 0.53/0.70 (define @t37 () (= tptp.powersetAx @t36)) % 0.53/0.70 (define @t38 () (_ @t33 @t2)) % 0.53/0.70 (define @t39 () (and @t6 @t38)) % 0.53/0.70 (define @t40 () (@list @t1)) % 0.53/0.70 (define @t41 () (exists @t40 @t39)) % 0.53/0.70 (define @t42 () (_ tptp.setunion @t2)) % 0.53/0.70 (define @t43 () (_ @t5 @t42)) % 0.53/0.70 (define @t44 () (= @t43 @t41)) % 0.53/0.70 (define @t45 () (@list @t2 @t4)) % 0.53/0.70 (define @t46 () (forall @t45 @t44)) % 0.53/0.70 (define @t47 () (= tptp.setunionAx @t46)) % 0.53/0.70 (define @t48 () (_ tptp.in tptp.emptyset)) % 0.53/0.70 (define @t49 () (_ @t48 tptp.omega)) % 0.53/0.70 (define @t50 () (_ @t24 @t4)) % 0.53/0.70 (define @t51 () (_ tptp.in @t50)) % 0.53/0.70 (define @t52 () (_ @t51 tptp.omega)) % 0.53/0.70 (define @t53 () (_ @t5 tptp.omega)) % 0.53/0.70 (define @t54 () (forall @t9 (=> @t53 @t52))) % 0.53/0.70 (define @t55 () (= tptp.omegaSAx @t54)) % 0.53/0.70 (define @t56 () (forall @t9 (=> @t53 @t7))) % 0.53/0.70 (define @t57 () (_ @t51 @t2)) % 0.53/0.70 (define @t58 () (and @t53 @t7)) % 0.53/0.70 (define @t59 () (forall @t9 (=> @t58 @t57))) % 0.53/0.70 (define @t60 () (_ @t48 @t2)) % 0.53/0.70 (define @t61 () (and @t60 @t59)) % 0.53/0.70 (define @t62 () (=> @t61 @t56)) % 0.53/0.70 (define @t63 () (@list @t2)) % 0.53/0.70 (define @t64 () (forall @t63 @t62)) % 0.53/0.70 (define @t65 () (= tptp.omegaIndAx @t64)) % 0.53/0.70 (define @t66 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.53/0.70 (define @t67 () (_ (_ @t66 @t19) @t4)) % 0.53/0.70 (define @t68 () (and @t21 @t67)) % 0.53/0.70 (define @t69 () (@list @t19)) % 0.53/0.70 (define @t70 () (exists @t69 @t68)) % 0.53/0.70 (define @t71 () (= @t6 @t70)) % 0.53/0.70 (define @t72 () (forall @t9 @t71)) % 0.53/0.70 (define @t73 () (exists @t40 @t72)) % 0.53/0.70 (define @t74 () (_ @t66 @t4)) % 0.53/0.70 (define @t75 () (_ @t74 @t19)) % 0.53/0.70 (define @t76 () (lambda @t69 @t75)) % 0.53/0.70 (define @t77 () (=> @t7 (_ tptp.exu @t76))) % 0.53/0.70 (define @t78 () (forall @t9 @t77)) % 0.53/0.70 (define @t79 () (=> @t78 @t73)) % 0.53/0.70 (define @t80 () (@list @t66 @t2)) % 0.53/0.70 (define @t81 () (forall @t80 @t79)) % 0.53/0.70 (define @t82 () (= tptp.replAx @t81)) % 0.53/0.70 (define @t83 () (and @t6 @t7)) % 0.53/0.70 (define @t84 () (exists @t9 @t83)) % 0.53/0.70 (define @t85 () (not @t84)) % 0.53/0.70 (define @t86 () (and @t38 @t85)) % 0.53/0.70 (define @t87 () (exists @t40 @t86)) % 0.53/0.70 (define @t88 () (exists @t9 @t7)) % 0.53/0.70 (define @t89 () (=> @t88 @t87)) % 0.53/0.70 (define @t90 () (forall @t63 @t89)) % 0.53/0.70 (define @t91 () (= tptp.foundationAx @t90)) % 0.53/0.70 (define @t92 () (@var "E" $$unsorted)) % 0.53/0.70 (define @t93 () (_ @t5 @t92)) % 0.53/0.70 (define @t94 () (@var "D" $$unsorted)) % 0.53/0.70 (define @t95 () (_ @t20 @t94)) % 0.53/0.70 (define @t96 () (_ @t20 @t92)) % 0.53/0.70 (define @t97 () (forall @t69 (=> @t96 @t95))) % 0.53/0.70 (define @t98 () (or @t97 @t93)) % 0.53/0.70 (define @t99 () (_ (_ tptp.in @t92) @t1)) % 0.53/0.70 (define @t100 () (=> @t99 @t98)) % 0.53/0.70 (define @t101 () (@list @t92)) % 0.53/0.70 (define @t102 () (forall @t101 @t100)) % 0.53/0.70 (define @t103 () (@var "C" $$unsorted)) % 0.53/0.70 (define @t104 () (_ @t20 @t103)) % 0.53/0.70 (define @t105 () (and @t95 @t104)) % 0.53/0.70 (define @t106 () (exists @t69 @t105)) % 0.53/0.70 (define @t107 () (not @t106)) % 0.53/0.70 (define @t108 () (_ @t5 @t103)) % 0.53/0.70 (define @t109 () (_ (_ tptp.in @t94) @t1)) % 0.53/0.70 (define @t110 () (and @t109 @t108 @t107 @t102)) % 0.53/0.70 (define @t111 () (@list @t94 @t4)) % 0.53/0.70 (define @t112 () (exists @t111 @t110)) % 0.53/0.70 (define @t113 () (exists @t9 @t108)) % 0.53/0.70 (define @t114 () (forall @t9 (=> @t108 @t7))) % 0.53/0.70 (define @t115 () (and @t114 @t113)) % 0.53/0.70 (define @t116 () (=> @t115 @t112)) % 0.53/0.70 (define @t117 () (@list @t103)) % 0.53/0.70 (define @t118 () (forall @t117 @t116)) % 0.53/0.70 (define @t119 () (_ @t5 @t94)) % 0.53/0.70 (define @t120 () (forall @t9 (=> @t119 @t108))) % 0.53/0.70 (define @t121 () (forall @t9 (=> @t108 @t119))) % 0.53/0.70 (define @t122 () (or @t121 @t120)) % 0.53/0.70 (define @t123 () (_ (_ tptp.in @t103) @t1)) % 0.53/0.70 (define @t124 () (and @t123 @t109)) % 0.53/0.70 (define @t125 () (=> @t124 @t122)) % 0.53/0.70 (define @t126 () (@list @t103 @t94)) % 0.53/0.70 (define @t127 () (forall @t126 @t125)) % 0.53/0.70 (define @t128 () (= @t4 @t19)) % 0.53/0.70 (define @t129 () (= @t108 @t104)) % 0.53/0.70 (define @t130 () (forall @t117 (=> @t123 @t129))) % 0.53/0.70 (define @t131 () (=> @t130 @t128)) % 0.53/0.70 (define @t132 () (and @t7 @t21)) % 0.53/0.70 (define @t133 () (=> @t132 @t131)) % 0.53/0.70 (define @t134 () (@list @t4 @t19)) % 0.53/0.70 (define @t135 () (forall @t134 @t133)) % 0.53/0.70 (define @t136 () (=> @t123 @t114)) % 0.53/0.70 (define @t137 () (forall @t117 @t136)) % 0.53/0.70 (define @t138 () (and @t137 @t135 @t127 @t118)) % 0.53/0.70 (define @t139 () (exists @t40 @t138)) % 0.53/0.70 (define @t140 () (forall @t63 @t139)) % 0.53/0.70 (define @t141 () (= tptp.wellorderingAx @t140)) % 0.53/0.70 (define @t142 () (@var "Xphi" (-> $$unsorted Bool))) % 0.53/0.70 (define @t143 () (_ @t142 @t4)) % 0.53/0.70 (define @t144 () (lambda @t9 @t143)) % 0.53/0.70 (define @t145 () (_ tptp.descr @t144)) % 0.53/0.70 (define @t146 () (_ @t142 @t145)) % 0.53/0.70 (define @t147 () (_ tptp.exu @t144)) % 0.53/0.70 (define @t148 () (=> @t147 @t146)) % 0.53/0.70 (define @t149 () (@list @t142)) % 0.53/0.70 (define @t150 () (forall @t149 @t148)) % 0.53/0.70 (define @t151 () (= tptp.descrp @t150)) % 0.53/0.70 (define @t152 () (_ @t142 @t19)) % 0.53/0.70 (define @t153 () (lambda @t69 @t152)) % 0.53/0.70 (define @t154 () (_ tptp.dsetconstr @t2)) % 0.53/0.70 (define @t155 () (_ @t154 @t153)) % 0.53/0.70 (define @t156 () (_ @t5 @t155)) % 0.53/0.70 (define @t157 () (=> @t143 @t156)) % 0.53/0.70 (define @t158 () (@list @t2 @t142 @t4)) % 0.53/0.70 (define @t159 () (forall @t158 (=> @t7 @t157))) % 0.53/0.70 (define @t160 () (= tptp.dsetconstrI @t159)) % 0.53/0.70 (define @t161 () (forall @t158 (=> @t156 @t7))) % 0.53/0.70 (define @t162 () (= tptp.dsetconstrEL @t161)) % 0.53/0.70 (define @t163 () (forall @t158 (=> @t156 @t143))) % 0.53/0.70 (define @t164 () (= tptp.dsetconstrER @t163)) % 0.53/0.70 (define @t165 () (forall @t69 (=> @t152 @t128))) % 0.53/0.70 (define @t166 () (and @t143 @t165)) % 0.53/0.70 (define @t167 () (exists @t9 @t166)) % 0.53/0.70 (define @t168 () (=> @t147 @t167)) % 0.53/0.70 (define @t169 () (forall @t149 @t168)) % 0.53/0.70 (define @t170 () (= tptp.exuE1 @t169)) % 0.53/0.70 (define @t171 () (@var "Xphi" Bool)) % 0.53/0.70 (define @t172 () (=> (_ @t5 (_ tptp.prop2set @t171)) @t171)) % 0.53/0.70 (define @t173 () (@list @t171 @t4)) % 0.53/0.70 (define @t174 () (forall @t173 @t172)) % 0.53/0.70 (define @t175 () (= tptp.prop2setE @t174)) % 0.53/0.70 (define @t176 () (@list @t171)) % 0.53/0.70 (define @t177 () (forall @t176 @t171)) % 0.53/0.70 (define @t178 () (=> @t15 @t177)) % 0.53/0.70 (define @t179 () (forall @t9 @t178)) % 0.53/0.70 (define @t180 () (= tptp.emptysetE @t179)) % 0.53/0.70 (define @t181 () (forall @t9 (=> @t15 false))) % 0.53/0.70 (define @t182 () (= tptp.emptysetimpfalse @t181)) % 0.53/0.70 (define @t183 () (exists @t9 @t143)) % 0.53/0.70 (define @t184 () (=> @t147 @t183)) % 0.53/0.70 (define @t185 () (forall @t149 @t184)) % 0.53/0.70 (define @t186 () (= tptp.exuE3e @t185)) % 0.53/0.70 (define @t187 () (=> @t31 @t3)) % 0.53/0.70 (define @t188 () (forall @t9 (=> @t7 @t6))) % 0.53/0.70 (define @t189 () (=> @t188 @t187)) % 0.53/0.70 (define @t190 () (forall @t12 @t189)) % 0.53/0.70 (define @t191 () (= tptp.setext @t190)) % 0.53/0.70 (define @t192 () (= @t2 tptp.emptyset)) % 0.53/0.70 (define @t193 () (not @t7)) % 0.53/0.70 (define @t194 () (forall @t9 @t193)) % 0.53/0.70 (define @t195 () (=> @t194 @t192)) % 0.53/0.70 (define @t196 () (forall @t63 @t195)) % 0.53/0.70 (define @t197 () (= tptp.emptyI @t196)) % 0.53/0.70 (define @t198 () (=> @t7 (= @t156 @t143))) % 0.53/0.70 (define @t199 () (forall @t158 @t198)) % 0.53/0.70 (define @t200 () (= tptp.setbeta @t199)) % 0.53/0.70 (define @t201 () (_ tptp.nonempty @t2)) % 0.53/0.70 (define @t202 () (=> @t201 @t88)) % 0.53/0.70 (define @t203 () (forall @t63 @t202)) % 0.53/0.70 (define @t204 () (= tptp.nonemptyE1 @t203)) % 0.53/0.70 (define @t205 () (=> @t143 (_ tptp.nonempty @t155))) % 0.53/0.70 (define @t206 () (=> @t7 @t205)) % 0.53/0.70 (define @t207 () (forall @t158 @t206)) % 0.53/0.70 (define @t208 () (= tptp.nonemptyI @t207)) % 0.53/0.70 (define @t209 () (=> @t88 @t201)) % 0.53/0.70 (define @t210 () (forall @t63 @t209)) % 0.53/0.70 (define @t211 () (= tptp.nonemptyI1 @t210)) % 0.53/0.70 (define @t212 () (_ @t24 @t19)) % 0.53/0.70 (define @t213 () (_ @t5 @t212)) % 0.53/0.70 (define @t214 () (forall @t134 @t213)) % 0.53/0.70 (define @t215 () (= tptp.setadjoinIL @t214)) % 0.53/0.70 (define @t216 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.53/0.70 (define @t217 () (_ @t48 @t216)) % 0.53/0.70 (define @t218 () (forall @t28 (=> @t21 @t26))) % 0.53/0.70 (define @t219 () (= tptp.setadjoinIR @t218)) % 0.53/0.70 (define @t220 () (=> @t21 @t171)) % 0.53/0.70 (define @t221 () (=> @t220 @t171)) % 0.53/0.70 (define @t222 () (=> @t22 @t171)) % 0.53/0.70 (define @t223 () (=> @t222 @t221)) % 0.53/0.70 (define @t224 () (forall @t176 @t223)) % 0.53/0.70 (define @t225 () (=> @t26 @t224)) % 0.53/0.70 (define @t226 () (forall @t28 @t225)) % 0.53/0.70 (define @t227 () (=> tptp.setadjoinIR @t226)) % 0.53/0.70 (define @t228 () (=> tptp.emptyinunitempty @t227)) % 0.53/0.70 (define @t229 () (=> tptp.setadjoinIL @t228)) % 0.53/0.70 (define @t230 () (=> tptp.nonemptyI1 @t229)) % 0.53/0.70 (define @t231 () (=> tptp.nonemptyI @t230)) % 0.53/0.70 (define @t232 () (=> tptp.nonemptyE1 @t231)) % 0.53/0.70 (define @t233 () (=> tptp.setbeta @t232)) % 0.53/0.70 (define @t234 () (=> tptp.noeltsimpempty @t233)) % 0.53/0.70 (define @t235 () (=> tptp.emptyI @t234)) % 0.53/0.70 (define @t236 () (=> tptp.setext @t235)) % 0.53/0.70 (define @t237 () (=> tptp.exuE3e @t236)) % 0.53/0.70 (define @t238 () (=> tptp.notinemptyset @t237)) % 0.53/0.70 (define @t239 () (=> tptp.emptysetimpfalse @t238)) % 0.53/0.70 (define @t240 () (=> tptp.emptysetE @t239)) % 0.53/0.70 (define @t241 () (=> tptp.prop2setE @t240)) % 0.53/0.70 (define @t242 () (=> tptp.exuE1 @t241)) % 0.53/0.70 (define @t243 () (=> tptp.dsetconstrER @t242)) % 0.53/0.70 (define @t244 () (=> tptp.dsetconstrEL @t243)) % 0.53/0.70 (define @t245 () (=> tptp.dsetconstrI @t244)) % 0.53/0.70 (define @t246 () (=> tptp.descrp @t245)) % 0.53/0.70 (define @t247 () (=> tptp.wellorderingAx @t246)) % 0.53/0.70 (define @t248 () (=> tptp.foundationAx @t247)) % 0.53/0.70 (define @t249 () (=> tptp.replAx @t248)) % 0.53/0.70 (define @t250 () (=> tptp.omegaIndAx @t249)) % 0.53/0.70 (define @t251 () (=> tptp.omegaSAx @t250)) % 0.53/0.70 (define @t252 () (=> tptp.omega0Ax @t251)) % 0.53/0.70 (define @t253 () (=> tptp.setunionAx @t252)) % 0.53/0.70 (define @t254 () (=> tptp.powersetAx @t253)) % 0.53/0.70 (define @t255 () (=> tptp.setadjoinAx @t254)) % 0.53/0.70 (define @t256 () (=> tptp.emptysetAx @t255)) % 0.53/0.70 (define @t257 () (=> tptp.setextAx @t256)) % 0.53/0.70 (define @t258 () (not @t257)) % 0.53/0.70 (define @t259 () (lambda @t149 @t167)) % 0.53/0.70 (define @t260 () (lambda @t9 @t171)) % 0.53/0.70 (define @t261 () (_ tptp.powerset tptp.emptyset)) % 0.53/0.70 (define @t262 () (_ tptp.dsetconstr @t261)) % 0.53/0.70 (define @t263 () (_ @t262 @t260)) % 0.53/0.70 (define @t264 () (lambda @t176 @t263)) % 0.53/0.70 (define @t265 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.53/0.70 (define @t266 () (tptp.in @t19 @t2)) % 0.53/0.70 (define @t267 () (tptp.setadjoin @t4 @t2)) % 0.53/0.70 (define @t268 () (tptp.in @t19 @t267)) % 0.53/0.70 (define @t269 () (forall @t28 (or (not @t268) @t128 @t266))) % 0.53/0.70 (define @t270 () (not @t266)) % 0.53/0.70 (define @t271 () (=> (forall @t28 (or @t270 @t268)) @t269)) % 0.53/0.70 (define @t272 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.53/0.70 (define @t273 () (tptp.in tptp.emptyset @t272)) % 0.53/0.70 (define @t274 () (=> @t217 @t271)) % 0.53/0.70 (define @t275 () (tptp.setadjoin @t4 @t19)) % 0.53/0.70 (define @t276 () (tptp.in @t4 @t275)) % 0.53/0.70 (define @t277 () (forall @t134 @t276)) % 0.53/0.70 (define @t278 () (=> @t277 @t274)) % 0.53/0.70 (define @t279 () (@var "BOUND_VARIABLE_8467" $$unsorted)) % 0.53/0.70 (define @t280 () (not (tptp.in @t279 tptp.emptyset))) % 0.53/0.70 (define @t281 () (@list @t279)) % 0.53/0.70 (define @t282 () (forall @t281 @t280)) % 0.53/0.70 (define @t283 () (=> @t282 @t278)) % 0.53/0.70 (define @t284 () (tptp.dsetconstr @t2 @t142)) % 0.53/0.70 (define @t285 () (_ @t142 @t4)) % 0.53/0.70 (define @t286 () (not @t285)) % 0.53/0.70 (define @t287 () (tptp.in @t4 @t2)) % 0.53/0.70 (define @t288 () (not @t287)) % 0.53/0.70 (define @t289 () (forall @t158 (or @t288 @t286 (not (= tptp.emptyset @t284))))) % 0.53/0.70 (define @t290 () (=> @t289 @t283)) % 0.53/0.70 (define @t291 () (forall @t9 @t288)) % 0.53/0.70 (define @t292 () (not @t291)) % 0.53/0.70 (define @t293 () (forall @t63 (or @t192 @t292))) % 0.53/0.70 (define @t294 () (=> @t293 @t290)) % 0.53/0.70 (define @t295 () (tptp.in @t4 @t284)) % 0.53/0.70 (define @t296 () (forall @t158 (or @t288 (= @t285 @t295)))) % 0.53/0.70 (define @t297 () (=> @t296 @t294)) % 0.53/0.70 (define @t298 () (forall @t63 (or @t292 @t192))) % 0.53/0.70 (define @t299 () (=> @t298 @t297)) % 0.53/0.70 (define @t300 () (=> @t298 @t299)) % 0.53/0.70 (define @t301 () (tptp.in @t4 @t1)) % 0.53/0.70 (define @t302 () (not @t301)) % 0.53/0.70 (define @t303 () (forall @t9 (or @t302 @t287))) % 0.53/0.70 (define @t304 () (not @t303)) % 0.53/0.70 (define @t305 () (forall @t9 (or @t288 @t301))) % 0.53/0.70 (define @t306 () (not @t305)) % 0.53/0.70 (define @t307 () (or @t306 @t304 @t3)) % 0.53/0.70 (define @t308 () (forall @t12 @t307)) % 0.53/0.70 (define @t309 () (=> @t308 @t300)) % 0.53/0.70 (define @t310 () (@var "BOUND_VARIABLE_8364" $$unsorted)) % 0.53/0.70 (define @t311 () (_ @t142 @t19)) % 0.53/0.70 (define @t312 () (not @t311)) % 0.53/0.70 (define @t313 () (not (_ @t142 @t310))) % 0.53/0.70 (define @t314 () (not (forall @t9 @t286))) % 0.53/0.70 (define @t315 () (@list @t142 @t310)) % 0.53/0.70 (define @t316 () (forall @t315 (or @t314 @t313 (not (forall @t69 (or @t312 (= @t19 @t310))))))) % 0.53/0.70 (define @t317 () (=> @t316 @t309)) % 0.53/0.70 (define @t318 () (tptp.in @t4 tptp.emptyset)) % 0.53/0.70 (define @t319 () (forall @t9 (not @t318))) % 0.53/0.70 (define @t320 () (=> @t319 @t317)) % 0.53/0.70 (define @t321 () (=> @t319 @t320)) % 0.53/0.70 (define @t322 () (=> @t319 @t321)) % 0.53/0.70 (define @t323 () (@var "BOUND_VARIABLE_14141" $$unsorted)) % 0.53/0.70 (define @t324 () (lambda (@list @t323) false)) % 0.53/0.70 (define @t325 () (tptp.powerset tptp.emptyset)) % 0.53/0.70 (define @t326 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t325 @t324))))) % 0.53/0.70 (define @t327 () (=> @t326 @t322)) % 0.53/0.70 (define @t328 () (not @t295)) % 0.53/0.70 (define @t329 () (forall @t158 (or @t328 @t285))) % 0.53/0.70 (define @t330 () (=> @t329 @t327)) % 0.53/0.70 (define @t331 () (forall @t158 (or @t328 @t287))) % 0.53/0.70 (define @t332 () (=> @t331 @t330)) % 0.53/0.70 (define @t333 () (forall @t158 (or @t288 @t286 @t295))) % 0.53/0.70 (define @t334 () (=> @t333 @t332)) % 0.53/0.70 (define @t335 () (@var "BOUND_VARIABLE_8235" $$unsorted)) % 0.53/0.70 (define @t336 () (not (_ @t142 @t335))) % 0.53/0.70 (define @t337 () (_ @t142 (tptp.descr @t142))) % 0.53/0.70 (define @t338 () (@list @t142 @t335)) % 0.53/0.70 (define @t339 () (forall @t338 (or @t337 @t336 (not (forall @t69 (or @t312 (= @t19 @t335))))))) % 0.53/0.70 (define @t340 () (=> @t339 @t334)) % 0.53/0.70 (define @t341 () (@var "BOUND_VARIABLE_8155" $$unsorted)) % 0.53/0.70 (define @t342 () (tptp.in @t341 @t94)) % 0.53/0.70 (define @t343 () (not (tptp.in @t341 @t92))) % 0.53/0.70 (define @t344 () (tptp.in @t4 @t92)) % 0.53/0.70 (define @t345 () (tptp.in @t92 @t1)) % 0.53/0.70 (define @t346 () (not @t345)) % 0.53/0.70 (define @t347 () (or @t346 @t344 @t343 @t342)) % 0.53/0.70 (define @t348 () (@list @t92 @t341)) % 0.53/0.70 (define @t349 () (forall @t348 @t347)) % 0.53/0.70 (define @t350 () (not @t349)) % 0.53/0.70 (define @t351 () (tptp.in @t19 @t103)) % 0.53/0.70 (define @t352 () (tptp.in @t19 @t94)) % 0.53/0.70 (define @t353 () (forall @t69 (or (not @t352) (not @t351)))) % 0.53/0.70 (define @t354 () (not @t353)) % 0.53/0.70 (define @t355 () (tptp.in @t4 @t103)) % 0.53/0.70 (define @t356 () (not @t355)) % 0.53/0.70 (define @t357 () (tptp.in @t94 @t1)) % 0.53/0.70 (define @t358 () (not @t357)) % 0.53/0.70 (define @t359 () (not (forall @t111 (or @t358 @t356 @t354 @t350)))) % 0.53/0.70 (define @t360 () (@var "BOUND_VARIABLE_8184" $$unsorted)) % 0.53/0.70 (define @t361 () (not (tptp.in @t360 @t103))) % 0.53/0.70 (define @t362 () (forall @t9 (or @t356 @t287))) % 0.53/0.70 (define @t363 () (not @t362)) % 0.53/0.70 (define @t364 () (or @t363 @t361 @t359)) % 0.53/0.70 (define @t365 () (forall (@list @t103 @t360) @t364)) % 0.53/0.70 (define @t366 () (not @t365)) % 0.53/0.70 (define @t367 () (@var "BOUND_VARIABLE_8107" $$unsorted)) % 0.53/0.70 (define @t368 () (tptp.in @t367 @t103)) % 0.53/0.70 (define @t369 () (not (tptp.in @t367 @t94))) % 0.53/0.70 (define @t370 () (@var "BOUND_VARIABLE_8101" $$unsorted)) % 0.53/0.70 (define @t371 () (tptp.in @t370 @t94)) % 0.53/0.70 (define @t372 () (not (tptp.in @t370 @t103))) % 0.53/0.70 (define @t373 () (tptp.in @t103 @t1)) % 0.53/0.70 (define @t374 () (not @t373)) % 0.53/0.70 (define @t375 () (or @t374 @t358 @t372 @t371 @t369 @t368)) % 0.53/0.70 (define @t376 () (@list @t103 @t94 @t370 @t367)) % 0.53/0.70 (define @t377 () (forall @t376 @t375)) % 0.53/0.70 (define @t378 () (not @t377)) % 0.53/0.70 (define @t379 () (forall @t117 (or @t374 (= @t355 @t351)))) % 0.53/0.70 (define @t380 () (not @t379)) % 0.53/0.70 (define @t381 () (forall @t134 (or @t288 @t270 @t380 @t128))) % 0.53/0.70 (define @t382 () (not @t381)) % 0.53/0.70 (define @t383 () (@var "BOUND_VARIABLE_8050" $$unsorted)) % 0.53/0.70 (define @t384 () (tptp.in @t383 @t2)) % 0.53/0.70 (define @t385 () (not (tptp.in @t383 @t103))) % 0.53/0.70 (define @t386 () (or @t374 @t385 @t384)) % 0.53/0.70 (define @t387 () (@list @t103 @t383)) % 0.53/0.70 (define @t388 () (forall @t387 @t386)) % 0.53/0.70 (define @t389 () (not @t388)) % 0.53/0.70 (define @t390 () (or @t389 @t382 @t378 @t366)) % 0.53/0.70 (define @t391 () (forall @t63 (not (forall @t40 @t390)))) % 0.53/0.70 (define @t392 () (=> @t391 @t340)) % 0.53/0.70 (define @t393 () (forall @t9 (or @t302 @t288))) % 0.53/0.70 (define @t394 () (not @t393)) % 0.53/0.70 (define @t395 () (tptp.in @t1 @t2)) % 0.53/0.70 (define @t396 () (not @t395)) % 0.53/0.70 (define @t397 () (not (forall @t40 (or @t396 @t394)))) % 0.53/0.70 (define @t398 () (@var "BOUND_VARIABLE_8025" $$unsorted)) % 0.53/0.70 (define @t399 () (not (tptp.in @t398 @t2))) % 0.53/0.70 (define @t400 () (or @t399 @t397)) % 0.53/0.70 (define @t401 () (forall (@list @t2 @t398) @t400)) % 0.53/0.70 (define @t402 () (=> @t401 @t392)) % 0.53/0.70 (define @t403 () (_ @t66 @t19 @t4)) % 0.53/0.70 (define @t404 () (not (forall @t69 (or @t270 (not @t403))))) % 0.53/0.70 (define @t405 () (forall @t9 (= @t301 @t404))) % 0.53/0.70 (define @t406 () (not (forall @t40 (not @t405)))) % 0.53/0.70 (define @t407 () (@var "BOUND_VARIABLE_7915" $$unsorted)) % 0.53/0.70 (define @t408 () (= @t19 @t407)) % 0.53/0.70 (define @t409 () (_ @t66 @t4 @t19)) % 0.53/0.70 (define @t410 () (not (forall @t69 (or (not @t409) @t408)))) % 0.53/0.70 (define @t411 () (_ @t66 @t4 @t407)) % 0.53/0.70 (define @t412 () (@list @t407)) % 0.53/0.70 (define @t413 () (not (forall @t412 (or (not @t411) @t410)))) % 0.53/0.70 (define @t414 () (forall @t9 (or @t288 @t413))) % 0.53/0.70 (define @t415 () (forall @t80 (or (not @t414) @t406))) % 0.53/0.70 (define @t416 () (=> @t415 @t402)) % 0.53/0.70 (define @t417 () (@var "BOUND_VARIABLE_7896" $$unsorted)) % 0.53/0.70 (define @t418 () (tptp.in @t417 @t2)) % 0.53/0.70 (define @t419 () (not (tptp.in @t417 tptp.omega))) % 0.53/0.70 (define @t420 () (tptp.setadjoin @t4 @t4)) % 0.53/0.70 (define @t421 () (tptp.in @t420 @t2)) % 0.53/0.70 (define @t422 () (tptp.in @t4 tptp.omega)) % 0.53/0.70 (define @t423 () (not @t422)) % 0.53/0.70 (define @t424 () (forall @t9 (or @t423 @t288 @t421))) % 0.53/0.70 (define @t425 () (not @t424)) % 0.53/0.70 (define @t426 () (tptp.in tptp.emptyset @t2)) % 0.53/0.70 (define @t427 () (not @t426)) % 0.53/0.70 (define @t428 () (or @t427 @t425 @t419 @t418)) % 0.53/0.70 (define @t429 () (@list @t2 @t417)) % 0.53/0.70 (define @t430 () (forall @t429 @t428)) % 0.53/0.70 (define @t431 () (=> @t430 @t416)) % 0.53/0.70 (define @t432 () (tptp.in @t420 tptp.omega)) % 0.53/0.70 (define @t433 () (forall @t9 (or @t423 @t432))) % 0.53/0.70 (define @t434 () (=> @t433 @t431)) % 0.53/0.70 (define @t435 () (tptp.in tptp.emptyset tptp.omega)) % 0.53/0.70 (define @t436 () (=> @t49 @t434)) % 0.53/0.70 (define @t437 () (tptp.setunion @t2)) % 0.53/0.70 (define @t438 () (tptp.in @t4 @t437)) % 0.53/0.70 (define @t439 () (not (forall @t40 (or @t302 @t396)))) % 0.53/0.70 (define @t440 () (forall @t45 (= @t439 @t438))) % 0.53/0.70 (define @t441 () (=> @t440 @t436)) % 0.53/0.70 (define @t442 () (tptp.powerset @t2)) % 0.53/0.70 (define @t443 () (tptp.in @t1 @t442)) % 0.53/0.70 (define @t444 () (forall @t12 (= @t303 @t443))) % 0.53/0.70 (define @t445 () (=> @t444 @t441)) % 0.53/0.70 (define @t446 () (or @t128 @t266)) % 0.53/0.70 (define @t447 () (forall @t28 (= @t268 @t446))) % 0.53/0.70 (define @t448 () (=> @t447 @t445)) % 0.53/0.70 (define @t449 () (=> @t319 @t448)) % 0.53/0.70 (define @t450 () (forall @t9 (= @t287 @t301))) % 0.53/0.70 (define @t451 () (forall @t12 (or (not @t450) @t3))) % 0.53/0.70 (define @t452 () (=> @t451 @t449)) % 0.53/0.70 (define @t453 () (=> @t329 (=> true @t327))) % 0.53/0.70 (define @t454 () (=> @t331 @t453)) % 0.53/0.70 (define @t455 () (=> @t333 @t454)) % 0.53/0.70 (define @t456 () (=> @t339 @t455)) % 0.53/0.70 (define @t457 () (=> @t391 @t456)) % 0.53/0.70 (define @t458 () (=> @t401 @t457)) % 0.53/0.70 (define @t459 () (=> @t415 @t458)) % 0.53/0.70 (define @t460 () (=> @t430 @t459)) % 0.53/0.70 (define @t461 () (=> @t433 @t460)) % 0.53/0.70 (define @t462 () (=> @t49 @t461)) % 0.53/0.70 (define @t463 () (=> @t440 @t462)) % 0.53/0.70 (define @t464 () (=> @t444 @t463)) % 0.53/0.70 (define @t465 () (=> @t447 @t464)) % 0.53/0.70 (define @t466 () (=> @t319 @t465)) % 0.53/0.70 (define @t467 () (=> @t451 @t466)) % 0.53/0.70 (define @t468 () (not @t21)) % 0.53/0.70 (define @t469 () (or @t468 @t26)) % 0.53/0.70 (define @t470 () (=> tptp.setadjoinIR @t269)) % 0.53/0.70 (define @t471 () (=> tptp.emptyinunitempty @t470)) % 0.53/0.70 (define @t472 () (=> tptp.setadjoinIL @t471)) % 0.53/0.70 (define @t473 () (not (= tptp.emptyset tptp.emptyset))) % 0.53/0.70 (define @t474 () (or @t280 @t473)) % 0.53/0.70 (define @t475 () (not @t192)) % 0.53/0.70 (define @t476 () (not (tptp.in @t279 @t2))) % 0.53/0.70 (define @t477 () (or @t475 @t476 @t475)) % 0.53/0.70 (define @t478 () (or @t476 @t475)) % 0.53/0.70 (define @t479 () (forall @t63 @t478)) % 0.53/0.70 (define @t480 () (forall @t281 @t479)) % 0.53/0.70 (define @t481 () (forall (@list @t279 @t2) @t478)) % 0.53/0.70 (define @t482 () (forall (@list @t2 @t279) @t478)) % 0.53/0.70 (define @t483 () (forall @t281 @t478)) % 0.53/0.70 (define @t484 () (forall @t281 @t476)) % 0.53/0.70 (define @t485 () (@list @t4)) % 0.53/0.70 (define @t486 () (or @t484 @t475)) % 0.53/0.70 (define @t487 () (not @t292)) % 0.53/0.70 (define @t488 () (_ @t265 @t2)) % 0.53/0.70 (define @t489 () (not @t194)) % 0.53/0.70 (define @t490 () (=> @t88 @t488)) % 0.53/0.70 (define @t491 () (forall @t63 @t490)) % 0.53/0.70 (define @t492 () (=> tptp.nonemptyI1 @t472)) % 0.53/0.70 (define @t493 () (lambda @t69 @t311)) % 0.53/0.70 (define @t494 () (tptp.dsetconstr @t2 @t493)) % 0.53/0.70 (define @t495 () (= tptp.emptyset @t494)) % 0.53/0.70 (define @t496 () (not @t495)) % 0.53/0.70 (define @t497 () (or @t288 @t286 @t496)) % 0.53/0.70 (define @t498 () (= tptp.emptyset @t155)) % 0.53/0.70 (define @t499 () (not @t498)) % 0.53/0.70 (define @t500 () (not @t143)) % 0.53/0.70 (define @t501 () (or @t193 @t500 @t499)) % 0.53/0.70 (define @t502 () (=> @t143 @t499)) % 0.53/0.70 (define @t503 () (not (= @t155 tptp.emptyset))) % 0.53/0.70 (define @t504 () (_ @t265 @t155)) % 0.53/0.70 (define @t505 () (=> @t143 @t504)) % 0.53/0.70 (define @t506 () (=> @t7 @t505)) % 0.53/0.70 (define @t507 () (forall @t158 @t506)) % 0.53/0.70 (define @t508 () (=> tptp.nonemptyI @t492)) % 0.53/0.70 (define @t509 () (=> @t488 @t88)) % 0.53/0.70 (define @t510 () (forall @t63 @t509)) % 0.53/0.70 (define @t511 () (=> tptp.nonemptyE1 @t508)) % 0.53/0.70 (define @t512 () (tptp.in @t4 @t494)) % 0.53/0.70 (define @t513 () (= @t285 @t512)) % 0.53/0.70 (define @t514 () (or @t288 @t513)) % 0.53/0.70 (define @t515 () (= @t143 @t156)) % 0.53/0.70 (define @t516 () (or @t193 @t515)) % 0.53/0.70 (define @t517 () (=> tptp.setbeta @t511)) % 0.53/0.70 (define @t518 () (=> tptp.noeltsimpempty @t517)) % 0.53/0.70 (define @t519 () (=> tptp.emptyI @t518)) % 0.53/0.70 (define @t520 () (=> @t303 @t3)) % 0.53/0.70 (define @t521 () (not @t6)) % 0.53/0.70 (define @t522 () (or @t521 @t7)) % 0.53/0.70 (define @t523 () (or @t193 @t6)) % 0.53/0.70 (define @t524 () (=> tptp.setext @t519)) % 0.53/0.70 (define @t525 () (or @t312 (= @t310 @t19))) % 0.53/0.70 (define @t526 () (forall @t69 @t525)) % 0.53/0.70 (define @t527 () (not @t526)) % 0.53/0.70 (define @t528 () (or @t314 @t313 @t527)) % 0.53/0.70 (define @t529 () (or @t313 @t527)) % 0.53/0.70 (define @t530 () (or @t529 @t314)) % 0.53/0.70 (define @t531 () (forall @t315 @t530)) % 0.53/0.70 (define @t532 () (@list @t310)) % 0.53/0.70 (define @t533 () (forall @t532 @t530)) % 0.53/0.70 (define @t534 () (forall @t532 @t529)) % 0.53/0.70 (define @t535 () (or @t534 @t314)) % 0.53/0.70 (define @t536 () (forall @t69 (or @t312 @t128))) % 0.53/0.70 (define @t537 () (not @t536)) % 0.53/0.70 (define @t538 () (forall @t9 (or @t286 @t537))) % 0.53/0.70 (define @t539 () (not @t538)) % 0.53/0.70 (define @t540 () (not @t539)) % 0.53/0.70 (define @t541 () (forall @t9 @t500)) % 0.53/0.70 (define @t542 () (not @t541)) % 0.53/0.70 (define @t543 () (or @t500 @t537)) % 0.53/0.70 (define @t544 () (not @t152)) % 0.53/0.70 (define @t545 () (or @t544 @t128)) % 0.53/0.70 (define @t546 () (_ @t144 @t19)) % 0.53/0.70 (define @t547 () (not @t546)) % 0.53/0.70 (define @t548 () (or @t547 @t128)) % 0.53/0.70 (define @t549 () (forall @t69 @t548)) % 0.53/0.70 (define @t550 () (not @t549)) % 0.53/0.70 (define @t551 () (_ @t144 @t4)) % 0.53/0.70 (define @t552 () (not @t551)) % 0.53/0.70 (define @t553 () (or @t552 @t550)) % 0.53/0.70 (define @t554 () (forall @t9 @t553)) % 0.53/0.70 (define @t555 () (not @t554)) % 0.53/0.70 (define @t556 () (lambda @t149 @t539)) % 0.53/0.70 (define @t557 () (_ @t556 @t144)) % 0.53/0.70 (define @t558 () (=> @t557 @t183)) % 0.53/0.70 (define @t559 () (forall @t149 @t558)) % 0.53/0.70 (define @t560 () (and @t143 @t536)) % 0.53/0.70 (define @t561 () (forall @t9 (not @t560))) % 0.53/0.70 (define @t562 () (not @t561)) % 0.53/0.70 (define @t563 () (=> tptp.exuE3e @t524)) % 0.53/0.70 (define @t564 () (=> tptp.notinemptyset @t563)) % 0.53/0.70 (define @t565 () (=> tptp.emptysetimpfalse @t564)) % 0.53/0.70 (define @t566 () (not (= @t171 false))) % 0.53/0.70 (define @t567 () (not @t171)) % 0.53/0.70 (define @t568 () (or @t171 @t171)) % 0.53/0.70 (define @t569 () (=> tptp.emptysetE @t565)) % 0.53/0.70 (define @t570 () (@var "BOUND_VARIABLE_8309" $$unsorted)) % 0.53/0.70 (define @t571 () (@list @t570)) % 0.53/0.70 (define @t572 () (lambda @t571 false)) % 0.53/0.70 (define @t573 () (@list @t570)) % 0.53/0.70 (define @t574 () (tptp.dsetconstr @t325 @t572)) % 0.53/0.70 (define @t575 () (tptp.in @t4 @t574)) % 0.53/0.70 (define @t576 () (not @t575)) % 0.53/0.70 (define @t577 () (or @t576 false)) % 0.53/0.70 (define @t578 () (lambda @t571 @t171)) % 0.53/0.70 (define @t579 () (tptp.dsetconstr @t325 @t578)) % 0.53/0.70 (define @t580 () (tptp.in @t4 @t579)) % 0.53/0.70 (define @t581 () (not @t580)) % 0.53/0.70 (define @t582 () (or @t171 @t581 @t171)) % 0.53/0.70 (define @t583 () (or @t581 @t171)) % 0.53/0.70 (define @t584 () (forall @t176 @t583)) % 0.53/0.70 (define @t585 () (forall @t9 @t584)) % 0.53/0.70 (define @t586 () (forall (@list @t4 @t171) @t583)) % 0.53/0.70 (define @t587 () (_ @t262 @t578)) % 0.53/0.70 (define @t588 () (_ @t5 @t587)) % 0.53/0.70 (define @t589 () (not @t588)) % 0.53/0.70 (define @t590 () (or @t589 @t171)) % 0.53/0.70 (define @t591 () (=> (_ @t5 @t263) @t171)) % 0.53/0.70 (define @t592 () (_ @t264 @t171)) % 0.53/0.70 (define @t593 () (=> (_ @t5 @t592) @t171)) % 0.53/0.70 (define @t594 () (forall @t173 @t593)) % 0.53/0.70 (define @t595 () (=> tptp.prop2setE @t569)) % 0.53/0.70 (define @t596 () (=> @t557 @t167)) % 0.53/0.70 (define @t597 () (forall @t149 @t596)) % 0.53/0.70 (define @t598 () (=> tptp.exuE1 @t595)) % 0.53/0.70 (define @t599 () (not @t512)) % 0.53/0.70 (define @t600 () (or @t599 @t285)) % 0.53/0.70 (define @t601 () (not @t156)) % 0.53/0.70 (define @t602 () (or @t601 @t143)) % 0.53/0.70 (define @t603 () (=> tptp.dsetconstrER @t598)) % 0.53/0.70 (define @t604 () (or @t599 @t287)) % 0.53/0.70 (define @t605 () (or @t601 @t7)) % 0.53/0.70 (define @t606 () (=> tptp.dsetconstrEL @t603)) % 0.53/0.70 (define @t607 () (or @t288 @t286 @t512)) % 0.53/0.70 (define @t608 () (or @t193 @t500 @t156)) % 0.53/0.70 (define @t609 () (=> tptp.dsetconstrI @t606)) % 0.53/0.70 (define @t610 () (or @t312 (= @t335 @t19))) % 0.53/0.70 (define @t611 () (forall @t69 @t610)) % 0.53/0.70 (define @t612 () (not @t611)) % 0.53/0.70 (define @t613 () (or @t337 @t336 @t612)) % 0.53/0.70 (define @t614 () (or @t336 @t612)) % 0.53/0.70 (define @t615 () (or @t614 @t337)) % 0.53/0.70 (define @t616 () (forall @t338 @t615)) % 0.53/0.70 (define @t617 () (@list @t335)) % 0.53/0.70 (define @t618 () (forall @t617 @t615)) % 0.53/0.70 (define @t619 () (forall @t617 @t614)) % 0.53/0.70 (define @t620 () (or @t619 @t337)) % 0.53/0.70 (define @t621 () (lambda @t9 @t285)) % 0.53/0.70 (define @t622 () (tptp.descr @t621)) % 0.53/0.70 (define @t623 () (_ @t142 @t622)) % 0.53/0.70 (define @t624 () (or @t538 @t623)) % 0.53/0.70 (define @t625 () (or @t538 @t146)) % 0.53/0.70 (define @t626 () (=> @t557 @t146)) % 0.53/0.70 (define @t627 () (forall @t149 @t626)) % 0.53/0.70 (define @t628 () (=> tptp.descrp @t609)) % 0.53/0.70 (define @t629 () (and @t388 @t381 @t377 @t365)) % 0.53/0.70 (define @t630 () (forall @t40 (not @t629))) % 0.53/0.70 (define @t631 () (not @t630)) % 0.53/0.70 (define @t632 () (@list @t360)) % 0.53/0.70 (define @t633 () (forall @t632 @t364)) % 0.53/0.70 (define @t634 () (forall @t632 @t361)) % 0.53/0.70 (define @t635 () (or @t363 @t634 @t359)) % 0.53/0.70 (define @t636 () (forall @t9 @t356)) % 0.53/0.70 (define @t637 () (or @t363 @t636 @t359)) % 0.53/0.70 (define @t638 () (not @t636)) % 0.53/0.70 (define @t639 () (and @t362 @t638)) % 0.53/0.70 (define @t640 () (not @t108)) % 0.53/0.70 (define @t641 () (not @t109)) % 0.53/0.70 (define @t642 () (or @t641 @t640 @t354 @t350)) % 0.53/0.70 (define @t643 () (and @t109 @t108 @t353 @t349)) % 0.53/0.70 (define @t644 () (forall @t111 (not @t643))) % 0.53/0.70 (define @t645 () (not @t644)) % 0.53/0.70 (define @t646 () (or @t343 @t342)) % 0.53/0.70 (define @t647 () (or @t346 @t646 @t344)) % 0.53/0.70 (define @t648 () (forall @t348 @t647)) % 0.53/0.70 (define @t649 () (@list @t341)) % 0.53/0.70 (define @t650 () (forall @t649 @t647)) % 0.53/0.70 (define @t651 () (forall @t649 @t646)) % 0.53/0.70 (define @t652 () (or @t346 @t651 @t344)) % 0.53/0.70 (define @t653 () (tptp.in @t19 @t92)) % 0.53/0.70 (define @t654 () (forall @t69 (or (not @t653) @t352))) % 0.53/0.70 (define @t655 () (not @t99)) % 0.53/0.70 (define @t656 () (or @t655 @t654 @t93)) % 0.53/0.70 (define @t657 () (or @t654 @t93)) % 0.53/0.70 (define @t658 () (not @t96)) % 0.53/0.70 (define @t659 () (or @t658 @t95)) % 0.53/0.70 (define @t660 () (not @t104)) % 0.53/0.70 (define @t661 () (not @t95)) % 0.53/0.70 (define @t662 () (or @t661 @t660)) % 0.53/0.70 (define @t663 () (forall @t69 (not @t105))) % 0.53/0.70 (define @t664 () (not @t663)) % 0.53/0.70 (define @t665 () (forall @t9 @t640)) % 0.53/0.70 (define @t666 () (not @t665)) % 0.53/0.70 (define @t667 () (or @t640 @t7)) % 0.53/0.70 (define @t668 () (or @t369 @t368)) % 0.53/0.70 (define @t669 () (or @t372 @t371)) % 0.53/0.70 (define @t670 () (or @t374 @t358 @t669 @t668)) % 0.53/0.70 (define @t671 () (forall @t376 @t670)) % 0.53/0.70 (define @t672 () (forall (@list @t370 @t367) @t670)) % 0.53/0.70 (define @t673 () (forall (@list @t367) @t668)) % 0.53/0.70 (define @t674 () (forall (@list @t370) @t669)) % 0.53/0.70 (define @t675 () (or @t374 @t358 @t674 @t673)) % 0.53/0.70 (define @t676 () (tptp.in @t4 @t94)) % 0.53/0.70 (define @t677 () (forall @t9 (or (not @t676) @t355))) % 0.53/0.70 (define @t678 () (forall @t9 (or @t356 @t676))) % 0.53/0.70 (define @t679 () (not @t123)) % 0.53/0.70 (define @t680 () (or @t679 @t641 @t678 @t677)) % 0.53/0.70 (define @t681 () (or @t678 @t677)) % 0.53/0.70 (define @t682 () (not @t119)) % 0.53/0.70 (define @t683 () (or @t682 @t108)) % 0.53/0.70 (define @t684 () (or @t640 @t119)) % 0.53/0.70 (define @t685 () (or @t193 @t468 @t380 @t128)) % 0.53/0.70 (define @t686 () (=> @t379 @t128)) % 0.53/0.70 (define @t687 () (or @t679 @t129)) % 0.53/0.70 (define @t688 () (or @t385 @t384)) % 0.53/0.70 (define @t689 () (or @t374 @t688)) % 0.53/0.70 (define @t690 () (forall @t387 @t689)) % 0.53/0.70 (define @t691 () (@list @t383)) % 0.53/0.70 (define @t692 () (forall @t691 @t689)) % 0.53/0.70 (define @t693 () (forall @t691 @t688)) % 0.53/0.70 (define @t694 () (or @t374 @t693)) % 0.53/0.70 (define @t695 () (or @t679 @t362)) % 0.53/0.70 (define @t696 () (=> tptp.wellorderingAx @t628)) % 0.53/0.70 (define @t697 () (@list @t398)) % 0.53/0.70 (define @t698 () (forall @t697 @t400)) % 0.53/0.70 (define @t699 () (forall @t697 @t399)) % 0.53/0.70 (define @t700 () (or @t699 @t397)) % 0.53/0.70 (define @t701 () (not @t38)) % 0.53/0.70 (define @t702 () (or @t701 @t394)) % 0.53/0.70 (define @t703 () (and @t38 @t393)) % 0.53/0.70 (define @t704 () (forall @t40 (not @t703))) % 0.53/0.70 (define @t705 () (not @t704)) % 0.53/0.70 (define @t706 () (or @t521 @t193)) % 0.53/0.70 (define @t707 () (forall @t9 (not @t83))) % 0.53/0.70 (define @t708 () (not @t707)) % 0.53/0.70 (define @t709 () (=> tptp.foundationAx @t696)) % 0.53/0.70 (define @t710 () (= @t6 @t404)) % 0.53/0.70 (define @t711 () (not @t67)) % 0.53/0.70 (define @t712 () (or @t468 @t711)) % 0.53/0.70 (define @t713 () (forall @t69 (not @t68))) % 0.53/0.70 (define @t714 () (not @t713)) % 0.53/0.70 (define @t715 () (or @t193 @t413)) % 0.53/0.70 (define @t716 () (_ @t74 @t407)) % 0.53/0.70 (define @t717 () (not @t716)) % 0.53/0.70 (define @t718 () (or @t717 @t410)) % 0.53/0.70 (define @t719 () (not @t75)) % 0.53/0.70 (define @t720 () (or @t719 @t408)) % 0.53/0.70 (define @t721 () (_ @t76 @t19)) % 0.53/0.70 (define @t722 () (not @t721)) % 0.53/0.70 (define @t723 () (or @t722 @t408)) % 0.53/0.70 (define @t724 () (forall @t69 @t723)) % 0.53/0.70 (define @t725 () (not @t724)) % 0.53/0.70 (define @t726 () (_ @t76 @t407)) % 0.53/0.70 (define @t727 () (not @t726)) % 0.53/0.70 (define @t728 () (or @t727 @t725)) % 0.53/0.70 (define @t729 () (forall @t412 @t728)) % 0.53/0.70 (define @t730 () (not @t729)) % 0.53/0.70 (define @t731 () (not (_ @t142 @t407))) % 0.53/0.70 (define @t732 () (or @t312 (= @t407 @t19))) % 0.53/0.70 (define @t733 () (forall @t69 @t732)) % 0.53/0.70 (define @t734 () (not @t733)) % 0.53/0.70 (define @t735 () (or @t731 @t734)) % 0.53/0.70 (define @t736 () (forall @t412 @t735)) % 0.53/0.70 (define @t737 () (not @t736)) % 0.53/0.70 (define @t738 () (=> @t7 (_ @t556 @t76))) % 0.53/0.70 (define @t739 () (forall @t9 @t738)) % 0.53/0.70 (define @t740 () (=> @t739 @t73)) % 0.53/0.70 (define @t741 () (forall @t80 @t740)) % 0.53/0.70 (define @t742 () (=> tptp.replAx @t709)) % 0.53/0.70 (define @t743 () (or @t419 @t418)) % 0.53/0.70 (define @t744 () (or @t427 @t425 @t743)) % 0.53/0.70 (define @t745 () (forall @t429 @t744)) % 0.53/0.70 (define @t746 () (@list @t417)) % 0.53/0.70 (define @t747 () (forall @t746 @t744)) % 0.53/0.70 (define @t748 () (forall @t746 @t743)) % 0.53/0.70 (define @t749 () (or @t427 @t425 @t748)) % 0.53/0.70 (define @t750 () (forall @t9 (or @t423 @t287))) % 0.53/0.70 (define @t751 () (not @t60)) % 0.53/0.70 (define @t752 () (or @t751 @t425 @t750)) % 0.53/0.70 (define @t753 () (and @t60 @t424)) % 0.53/0.70 (define @t754 () (not @t53)) % 0.53/0.70 (define @t755 () (or @t754 @t7)) % 0.53/0.70 (define @t756 () (_ tptp.in @t420)) % 0.53/0.70 (define @t757 () (or @t754 @t193 @t57)) % 0.53/0.70 (define @t758 () (=> tptp.omegaIndAx @t742)) % 0.53/0.70 (define @t759 () (or @t754 @t52)) % 0.53/0.70 (define @t760 () (=> tptp.omegaSAx @t758)) % 0.53/0.70 (define @t761 () (=> tptp.omega0Ax @t760)) % 0.53/0.70 (define @t762 () (= @t43 @t439)) % 0.53/0.70 (define @t763 () (or @t521 @t701)) % 0.53/0.70 (define @t764 () (forall @t40 (not @t39))) % 0.53/0.70 (define @t765 () (not @t764)) % 0.53/0.70 (define @t766 () (=> tptp.setunionAx @t761)) % 0.53/0.70 (define @t767 () (= @t34 @t303)) % 0.53/0.70 (define @t768 () (=> tptp.powersetAx @t766)) % 0.53/0.70 (define @t769 () (or @t128 @t21)) % 0.53/0.70 (define @t770 () (= @t26 @t769)) % 0.53/0.70 (define @t771 () (=> tptp.setadjoinAx @t768)) % 0.53/0.70 (define @t772 () (=> tptp.emptysetAx @t771)) % 0.53/0.70 (define @t773 () (=> tptp.setextAx @t772)) % 0.53/0.70 (define @t774 () (not @t26)) % 0.53/0.70 (define @t775 () (or @t774 @t128 @t266)) % 0.53/0.70 (define @t776 () (not false)) % 0.53/0.70 (define @t777 () (and @t266 @t776)) % 0.53/0.70 (define @t778 () (and @t128 @t776)) % 0.53/0.70 (define @t779 () (or @t778 @t777)) % 0.53/0.70 (define @t780 () (or @t778 @t777 false)) % 0.53/0.70 (define @t781 () (and @t266 @t567)) % 0.53/0.70 (define @t782 () (and @t128 @t567)) % 0.53/0.70 (define @t783 () (or @t171 @t782 @t781 @t171)) % 0.53/0.70 (define @t784 () (or @t782 @t781 @t171)) % 0.53/0.70 (define @t785 () (and @t21 @t567)) % 0.53/0.70 (define @t786 () (or @t782 @t785 @t171)) % 0.53/0.70 (define @t787 () (=> @t128 @t171)) % 0.53/0.70 (define @t788 () (@quantifiers_skolemize @t269 1)) % 0.53/0.70 (define @t789 () (@quantifiers_skolemize @t269 0)) % 0.53/0.70 (define @t790 () (@quantifiers_skolemize @t269 2)) % 0.53/0.70 (define @t791 () (tptp.in @t790 (tptp.setadjoin @t789 @t788))) % 0.53/0.70 (define @t792 () (tptp.in @t790 @t788)) % 0.53/0.70 (define @t793 () (= @t789 @t790)) % 0.53/0.70 (define @t794 () (not @t791)) % 0.53/0.70 (define @t795 () (or @t794 @t793 @t792)) % 0.53/0.70 (define @t796 () (@list true)) % 0.53/0.70 (define @t797 () (@list @t795)) % 0.53/0.70 (define @t798 () (or @t793 @t792)) % 0.53/0.70 (define @t799 () (not @t798)) % 0.53/0.70 (define @t800 () (= @t791 @t798)) % 0.53/0.70 (assume @p1 @t14) % 0.53/0.70 (assume @p2 @t18) % 0.53/0.70 (assume @p3 @t30) % 0.53/0.70 (assume @p4 @t37) % 0.53/0.70 (assume @p5 @t47) % 0.53/0.70 (assume @p6 (= tptp.omega0Ax @t49)) % 0.53/0.70 (assume @p7 @t55) % 0.53/0.70 (assume @p8 @t65) % 0.53/0.70 (assume @p9 @t82) % 0.53/0.70 (assume @p10 @t91) % 0.53/0.70 (assume @p11 @t141) % 0.53/0.70 (assume @p12 @t151) % 0.53/0.70 (assume @p13 @t160) % 0.53/0.70 (assume @p14 @t162) % 0.53/0.70 (assume @p15 @t164) % 0.53/0.70 (assume @p16 @t170) % 0.53/0.70 (assume @p17 @t175) % 0.53/0.70 (assume @p18 @t180) % 0.53/0.70 (assume @p19 @t182) % 0.53/0.70 (assume @p20 (= tptp.notinemptyset @t17)) % 0.53/0.70 (assume @p21 @t186) % 0.53/0.70 (assume @p22 @t191) % 0.53/0.70 (assume @p23 @t197) % 0.53/0.70 (assume @p24 (= tptp.noeltsimpempty @t196)) % 0.53/0.70 (assume @p25 @t200) % 0.53/0.70 (assume @p26 @t204) % 0.53/0.70 (assume @p27 @t208) % 0.53/0.70 (assume @p28 @t211) % 0.53/0.70 (assume @p29 @t215) % 0.53/0.70 (assume @p30 (= tptp.emptyinunitempty @t217)) % 0.53/0.70 (assume @p31 @t219) % 0.53/0.70 (assume @p32 @t258) % 0.53/0.70 (assume @p33 true) % 0.53/0.70 (step @p34 (= tptp.exu @t259) :rule refl :args (@t259)) % 0.53/0.70 (step @p35 (= tptp.prop2set @t264) :rule refl :args (@t264)) % 0.53/0.70 (step @p36 (= tptp.nonempty @t265) :rule refl :args (@t265)) % 0.53/0.70 (step @p37 :rule refl :args (@t271)) % 0.53/0.70 (step @p38 :rule refl :args ((tptp.in tptp.emptyset @t216))) % 0.53/0.70 (step @p39 :rule refl :args (@t272)) % 0.53/0.70 (step @p40 :rule refl :args (tptp.emptyset)) % 0.53/0.70 (step @p41 :rule cong :premises (@p40 @p39) :args (@t273)) % 0.53/0.70 (step @p42 :rule trans :premises (@p41 @p38)) % 0.53/0.70 (step @p43 :rule refl :args (@t48)) % 0.53/0.70 (step @p44 :rule ho_cong :premises (@p43 @p39)) % 0.53/0.70 (step @p45 :rule cong :premises (@p44 @p42) :args ((= (_ @t48 @t272) @t273))) % 0.53/0.70 (step @p46 :rule symm :premises (@p45)) % 0.53/0.70 (step @p47 :rule refl :args (@t217)) % 0.53/0.70 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.53/0.70 (step @p49 :rule refl :args (@t216)) % 0.53/0.70 (step @p50 :rule cong :premises (@p49 @p39) :args ((= @t216 @t272))) % 0.53/0.70 (step @p51 :rule symm :premises (@p50)) % 0.53/0.70 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.53/0.70 (step @p53 :rule refl :args (@t48)) % 0.53/0.70 (step @p54 :rule ho_cong :premises (@p53 @p52)) % 0.53/0.70 (step @p55 :rule trans :premises (@p54 @p48)) % 0.53/0.70 (step @p56 :rule cong :premises (@p55 @p37) :args (@t274)) % 0.53/0.70 (step @p57 :rule refl :args (@t277)) % 0.53/0.70 (step @p58 :rule cong :premises (@p57 @p56) :args (@t278)) % 0.53/0.70 (step @p59 :rule refl :args (@t282)) % 0.53/0.70 (step @p60 :rule cong :premises (@p59 @p58) :args (@t283)) % 0.53/0.70 (step @p61 :rule refl :args (@t289)) % 0.53/0.70 (step @p62 :rule cong :premises (@p61 @p60) :args (@t290)) % 0.53/0.70 (step @p63 :rule refl :args (@t293)) % 0.53/0.70 (step @p64 :rule cong :premises (@p63 @p62) :args (@t294)) % 0.53/0.70 (step @p65 :rule refl :args (@t296)) % 0.53/0.70 (step @p66 :rule cong :premises (@p65 @p64) :args (@t297)) % 0.53/0.70 (step @p67 :rule refl :args (@t298)) % 0.53/0.70 (step @p68 :rule cong :premises (@p67 @p66) :args (@t299)) % 0.53/0.70 (step @p69 :rule cong :premises (@p67 @p68) :args (@t300)) % 0.53/0.70 (step @p70 :rule refl :args (@t308)) % 0.53/0.70 (step @p71 :rule cong :premises (@p70 @p69) :args (@t309)) % 0.53/0.70 (step @p72 :rule refl :args (@t316)) % 0.53/0.70 (step @p73 :rule cong :premises (@p72 @p71) :args (@t317)) % 0.53/0.70 (step @p74 :rule refl :args (@t319)) % 0.53/0.70 (step @p75 :rule cong :premises (@p74 @p73) :args (@t320)) % 0.53/0.70 (step @p76 :rule cong :premises (@p74 @p75) :args (@t321)) % 0.53/0.70 (step @p77 :rule cong :premises (@p74 @p76) :args (@t322)) % 0.53/0.70 (step @p78 :rule refl :args (@t326)) % 0.53/0.70 (step @p79 :rule cong :premises (@p78 @p77) :args (@t327)) % 0.53/0.70 (step @p80 :rule refl :args (@t329)) % 0.53/0.70 (step @p81 :rule cong :premises (@p80 @p79) :args (@t330)) % 0.53/0.70 (step @p82 :rule refl :args (@t331)) % 0.53/0.70 (step @p83 :rule cong :premises (@p82 @p81) :args (@t332)) % 0.53/0.70 (step @p84 :rule refl :args (@t333)) % 0.53/0.70 (step @p85 :rule cong :premises (@p84 @p83) :args (@t334)) % 0.53/0.70 (step @p86 :rule refl :args (@t339)) % 0.53/0.70 (step @p87 :rule cong :premises (@p86 @p85) :args (@t340)) % 0.53/0.70 (step @p88 :rule refl :args (@t391)) % 0.53/0.70 (step @p89 :rule cong :premises (@p88 @p87) :args (@t392)) % 0.53/0.70 (step @p90 :rule refl :args (@t401)) % 0.53/0.70 (step @p91 :rule cong :premises (@p90 @p89) :args (@t402)) % 0.53/0.70 (step @p92 :rule refl :args (@t415)) % 0.53/0.70 (step @p93 :rule cong :premises (@p92 @p91) :args (@t416)) % 0.53/0.70 (step @p94 :rule refl :args (@t430)) % 0.53/0.70 (step @p95 :rule cong :premises (@p94 @p93) :args (@t431)) % 0.53/0.70 (step @p96 :rule refl :args (@t433)) % 0.53/0.70 (step @p97 :rule cong :premises (@p96 @p95) :args (@t434)) % 0.53/0.70 (step @p98 :rule refl :args (@t435)) % 0.53/0.70 (step @p99 :rule refl :args (@t49)) % 0.53/0.70 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t49 @t435))) % 0.53/0.70 (step @p101 :rule symm :premises (@p100)) % 0.53/0.70 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.53/0.70 (step @p103 :rule cong :premises (@p102 @p97) :args (@t436)) % 0.53/0.70 (step @p104 :rule refl :args (@t440)) % 0.53/0.70 (step @p105 :rule cong :premises (@p104 @p103) :args (@t441)) % 0.53/0.70 (step @p106 :rule refl :args (@t444)) % 0.53/0.70 (step @p107 :rule cong :premises (@p106 @p105) :args (@t445)) % 0.53/0.70 (step @p108 :rule refl :args (@t447)) % 0.53/0.70 (step @p109 :rule cong :premises (@p108 @p107) :args (@t448)) % 0.53/0.70 (step @p110 :rule cong :premises (@p74 @p109) :args (@t449)) % 0.53/0.70 (step @p111 :rule refl :args (@t451)) % 0.53/0.70 (step @p112 :rule cong :premises (@p111 @p110) :args (@t452)) % 0.53/0.70 (step @p113 :rule cong :premises (@p112) :args ((not @t452))) % 0.53/0.70 (step @p114 :rule bool-impl-true2 :args (@t327)) % 0.53/0.70 (step @p115 :rule cong :premises (@p80 @p114) :args (@t453)) % 0.53/0.70 (step @p116 :rule cong :premises (@p82 @p115) :args (@t454)) % 0.53/0.70 (step @p117 :rule cong :premises (@p84 @p116) :args (@t455)) % 0.53/0.70 (step @p118 :rule cong :premises (@p86 @p117) :args (@t456)) % 0.53/0.70 (step @p119 :rule cong :premises (@p88 @p118) :args (@t457)) % 0.53/0.70 (step @p120 :rule cong :premises (@p90 @p119) :args (@t458)) % 0.53/0.70 (step @p121 :rule cong :premises (@p92 @p120) :args (@t459)) % 0.53/0.70 (step @p122 :rule cong :premises (@p94 @p121) :args (@t460)) % 0.53/0.70 (step @p123 :rule cong :premises (@p96 @p122) :args (@t461)) % 0.53/0.70 (step @p124 :rule refl :args (@t49)) % 0.53/0.70 (step @p125 :rule cong :premises (@p124 @p123) :args (@t462)) % 0.53/0.70 (step @p126 :rule cong :premises (@p104 @p125) :args (@t463)) % 0.53/0.70 (step @p127 :rule cong :premises (@p106 @p126) :args (@t464)) % 0.53/0.70 (step @p128 :rule cong :premises (@p108 @p127) :args (@t465)) % 0.53/0.70 (step @p129 :rule cong :premises (@p74 @p128) :args (@t466)) % 0.53/0.70 (step @p130 :rule cong :premises (@p111 @p129) :args (@t467)) % 0.53/0.70 (step @p131 :rule cong :premises (@p130) :args ((not @t467))) % 0.53/0.70 (step @p132 :rule refl :args (@t269)) % 0.53/0.70 (step @p133 :rule refl :args ((tptp.in @t19 @t25))) % 0.53/0.70 (step @p134 :rule refl :args (@t267)) % 0.53/0.70 (step @p135 :rule refl :args (@t19)) % 0.53/0.70 (step @p136 :rule cong :premises (@p135 @p134) :args (@t268)) % 0.53/0.70 (step @p137 :rule trans :premises (@p136 @p133)) % 0.53/0.70 (step @p138 :rule refl :args (@t20)) % 0.53/0.70 (step @p139 :rule ho_cong :premises (@p138 @p134)) % 0.53/0.70 (step @p140 :rule cong :premises (@p139 @p137) :args ((= (_ @t20 @t267) @t268))) % 0.53/0.70 (step @p141 :rule symm :premises (@p140)) % 0.53/0.70 (step @p142 :rule refl :args (@t26)) % 0.53/0.70 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.53/0.70 (step @p144 :rule refl :args (@t25)) % 0.53/0.70 (step @p145 :rule cong :premises (@p144 @p134) :args ((= @t25 @t267))) % 0.53/0.70 (step @p146 :rule symm :premises (@p145)) % 0.53/0.70 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 0.53/0.70 (step @p148 :rule ho_cong :premises (@p138 @p147)) % 0.53/0.70 (step @p149 :rule trans :premises (@p148 @p143)) % 0.53/0.70 (step @p150 :rule refl :args (@t266)) % 0.53/0.70 (step @p151 :rule refl :args (@t21)) % 0.53/0.70 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t21 @t266))) % 0.53/0.70 (step @p153 :rule symm :premises (@p152)) % 0.53/0.70 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 0.53/0.70 (step @p155 :rule cong :premises (@p154) :args (@t468)) % 0.53/0.70 (step @p156 :rule nary_cong :premises (@p155 @p149) :args (@t469)) % 0.53/0.70 (step @p157 :rule cong :premises (@p156) :args ((forall @t28 @t469))) % 0.53/0.70 (step @p158 :rule bool-impl-elim :args (@t21 @t26)) % 0.53/0.70 (step @p159 :rule cong :premises (@p158) :args (@t218)) % 0.53/0.70 (step @p160 :rule trans :premises (@p159 @p157)) % 0.53/0.70 (step @p161 :rule refl :args (tptp.setadjoinIR)) % 0.53/0.70 (step @p162 :rule cong :premises (@p161 @p160) :args (@t219)) % 0.53/0.70 (step @p163 :rule eq_resolve :premises (@p31 @p162)) % 0.53/0.70 (step @p164 :rule cong :premises (@p163 @p132) :args (@t470)) % 0.53/0.70 (step @p165 :rule cong :premises (@p30 @p164) :args (@t471)) % 0.53/0.70 (step @p166 :rule refl :args ((tptp.in @t4 @t212))) % 0.53/0.70 (step @p167 :rule refl :args (@t275)) % 0.53/0.70 (step @p168 :rule refl :args (@t4)) % 0.53/0.70 (step @p169 :rule cong :premises (@p168 @p167) :args (@t276)) % 0.53/0.70 (step @p170 :rule trans :premises (@p169 @p166)) % 0.53/0.70 (step @p171 :rule refl :args (@t5)) % 0.53/0.70 (step @p172 :rule ho_cong :premises (@p171 @p167)) % 0.53/0.70 (step @p173 :rule cong :premises (@p172 @p170) :args ((= (_ @t5 @t275) @t276))) % 0.53/0.70 (step @p174 :rule symm :premises (@p173)) % 0.53/0.70 (step @p175 :rule refl :args (@t213)) % 0.53/0.70 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.53/0.70 (step @p177 :rule refl :args (@t212)) % 0.53/0.70 (step @p178 :rule cong :premises (@p177 @p167) :args ((= @t212 @t275))) % 0.53/0.70 (step @p179 :rule symm :premises (@p178)) % 0.53/0.70 (step @p180 :rule eq_resolve :premises (@p177 @p179)) % 0.53/0.70 (step @p181 :rule ho_cong :premises (@p171 @p180)) % 0.53/0.70 (step @p182 :rule trans :premises (@p181 @p176)) % 0.53/0.70 (step @p183 :rule cong :premises (@p182) :args (@t214)) % 0.53/0.70 (step @p184 :rule refl :args (tptp.setadjoinIL)) % 0.53/0.70 (step @p185 :rule cong :premises (@p184 @p183) :args (@t215)) % 0.53/0.70 (step @p186 :rule eq_resolve :premises (@p29 @p185)) % 0.53/0.70 (step @p187 :rule cong :premises (@p186 @p165) :args (@t472)) % 0.53/0.70 (step @p188 :rule aci_norm :args ((= (or @t280 false) @t280))) % 0.53/0.70 (step @p189 :rule evaluate :args ((not true))) % 0.53/0.70 (step @p190 :rule eq-refl :args (tptp.emptyset)) % 0.53/0.70 (step @p191 :rule cong :premises (@p190) :args (@t473)) % 0.53/0.70 (step @p192 :rule trans :premises (@p191 @p189)) % 0.53/0.70 (step @p193 :rule refl :args (@t280)) % 0.53/0.70 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t474)) % 0.53/0.70 (step @p195 :rule trans :premises (@p194 @p188)) % 0.53/0.70 (step @p196 :rule cong :premises (@p195) :args ((forall @t281 @t474))) % 0.53/0.70 (step @p197 :rule quant-var-elim-eq :args ((= (forall @t63 @t477) @t474))) % 0.53/0.70 (step @p198 :rule aci_norm :args ((= @t478 @t477))) % 0.53/0.70 (step @p199 :rule cong :premises (@p198) :args (@t479)) % 0.53/0.70 (step @p200 :rule trans :premises (@p199 @p197)) % 0.53/0.70 (step @p201 :rule cong :premises (@p200) :args (@t480)) % 0.53/0.70 (step @p202 :rule quant-merge-prenex :args ((= @t480 @t481))) % 0.53/0.70 (step @p203 :rule symm :premises (@p202)) % 0.53/0.70 (step @p204 :rule quant_var_reordering :args ((= @t482 @t481))) % 0.53/0.70 (step @p205 :rule trans :premises (@p204 @p203 @p201)) % 0.53/0.70 (step @p206 :rule trans :premises (@p205 @p196)) % 0.53/0.70 (step @p207 :rule quant-merge-prenex :args ((= (forall @t63 @t483) @t482))) % 0.53/0.70 (step @p208 :rule refl :args (@t475)) % 0.53/0.70 (step @p209 :rule alpha_equiv :args (@t484 (@list @t279) @t485)) % 0.53/0.70 (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t486)) % 0.53/0.70 (step @p211 :rule quant-miniscope-or :args ((= @t483 @t486))) % 0.53/0.70 (step @p212 :rule trans :premises (@p211 @p210)) % 0.53/0.70 (step @p213 :rule symm :premises (@p212)) % 0.53/0.70 (step @p214 :rule cong :premises (@p213) :args ((forall @t63 (or @t291 @t475)))) % 0.53/0.70 (step @p215 :rule trans :premises (@p214 @p207)) % 0.53/0.70 (step @p216 :rule trans :premises (@p215 @p206)) % 0.53/0.70 (step @p217 :rule bool-double-not-elim :args (@t291)) % 0.53/0.70 (step @p218 :rule nary_cong :premises (@p217 @p208) :args ((or @t487 @t475))) % 0.53/0.70 (step @p219 :rule bool-impl-elim :args (@t292 @t475)) % 0.53/0.70 (step @p220 :rule trans :premises (@p219 @p218)) % 0.53/0.70 (step @p221 :rule cong :premises (@p220) :args ((forall @t63 (=> @t292 @t475)))) % 0.53/0.70 (step @p222 :rule trans :premises (@p221 @p216)) % 0.53/0.70 (step @p223 :rule beta-reduce :args ((= @t488 @t475))) % 0.53/0.70 (step @p224 :rule refl :args (@t287)) % 0.53/0.70 (step @p225 :rule refl :args (@t7)) % 0.53/0.70 (step @p226 :rule cong :premises 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:args ((= (and @t266 true) @t266))) % 0.53/0.71 (step @p1394 :rule evaluate :args (@t776)) % 0.53/0.71 (step @p1395 :rule refl :args (@t266)) % 0.53/0.71 (step @p1396 :rule nary_cong :premises (@p1395 @p1394) :args (@t777)) % 0.53/0.71 (step @p1397 :rule trans :premises (@p1396 @p1393)) % 0.53/0.71 (step @p1398 :rule aci_norm :args ((= (and @t128 true) @t128))) % 0.53/0.71 (step @p1399 :rule nary_cong :premises (@p454 @p1394) :args (@t778)) % 0.53/0.71 (step @p1400 :rule trans :premises (@p1399 @p1398)) % 0.53/0.71 (step @p1401 :rule nary_cong :premises (@p1400 @p1397) :args (@t779)) % 0.53/0.71 (step @p1402 :rule aci_norm :args ((= @t780 @t779))) % 0.53/0.71 (step @p1403 :rule trans :premises (@p1402 @p1401)) % 0.53/0.71 (step @p1404 :rule quant-var-elim-eq :args ((= (forall @t176 (or @t566 @t782 @t781 @t171)) @t780))) % 0.53/0.71 (step @p1405 :rule refl :args (@t781)) % 0.53/0.71 (step @p1406 :rule refl :args (@t782)) % 0.53/0.71 (step @p1407 :rule nary_cong :premises (@p526 @p1406 @p1405 @p520) :args (@t783)) % 0.53/0.71 (step @p1408 :rule aci_norm :args ((= @t784 @t783))) % 0.53/0.71 (step @p1409 :rule trans :premises (@p1408 @p1407)) % 0.53/0.71 (step @p1410 :rule cong :premises (@p1409) :args ((forall @t176 @t784))) % 0.53/0.71 (step @p1411 :rule trans :premises (@p1410 @p1404)) % 0.53/0.71 (step @p1412 :rule trans :premises (@p1411 @p1403)) % 0.53/0.71 (step @p1413 :rule refl :args (@t567)) % 0.53/0.71 (step @p1414 :rule nary_cong :premises (@p154 @p1413) :args (@t785)) % 0.53/0.71 (step @p1415 :rule nary_cong :premises (@p1406 @p1414 @p520) :args (@t786)) % 0.53/0.71 (step @p1416 :rule cong :premises (@p1415) :args ((forall @t176 @t786))) % 0.53/0.71 (step @p1417 :rule trans :premises (@p1416 @p1412)) % 0.53/0.71 (step @p1418 :rule aci_norm :args ((= (or @t782 (or @t785 @t171)) @t786))) % 0.53/0.71 (step @p1419 :rule bool-implies-de-morgan :args (@t21 @t171)) % 0.53/0.71 (step @p1420 :rule nary_cong :premises (@p1419 @p520) :args ((or (not @t220) @t171))) % 0.53/0.71 (step @p1421 :rule bool-impl-elim :args (@t220 @t171)) % 0.53/0.71 (step @p1422 :rule trans :premises (@p1421 @p1420)) % 0.53/0.71 (step @p1423 :rule bool-implies-de-morgan :args (@t128 @t171)) % 0.53/0.71 (step @p1424 :rule nary_cong :premises (@p1423 @p1422) :args ((or (not @t787) @t221))) % 0.53/0.71 (step @p1425 :rule trans :premises (@p1424 @p1418)) % 0.53/0.71 (step @p1426 :rule bool-impl-elim :args (@t787 @t221)) % 0.53/0.71 (step @p1427 :rule trans :premises (@p1426 @p1425)) % 0.53/0.71 (step @p1428 :rule cong :premises (@p1427) :args ((forall @t176 (=> @t787 @t221)))) % 0.53/0.71 (step @p1429 :rule trans :premises (@p1428 @p1417)) % 0.53/0.71 (step @p1430 :rule refl :args (@t221)) % 0.53/0.71 (step @p1431 :rule cong :premises (@p1357 @p608) :args (@t222)) % 0.53/0.71 (step @p1432 :rule cong :premises (@p1431 @p1430) :args (@t223)) % 0.53/0.71 (step @p1433 :rule cong :premises (@p1432) :args (@t224)) % 0.53/0.71 (step @p1434 :rule trans :premises (@p1433 @p1429)) % 0.53/0.71 (step @p1435 :rule cong :premises (@p1359 @p1434) :args (@t225)) % 0.53/0.71 (step @p1436 :rule cong :premises (@p1435) :args (@t226)) % 0.53/0.71 (step @p1437 :rule trans :premises (@p1436 @p1392)) % 0.53/0.71 (step @p1438 :rule cong :premises (@p161 @p1437) :args (@t227)) % 0.53/0.71 (step @p1439 :rule refl :args (tptp.emptyinunitempty)) % 0.53/0.71 (step @p1440 :rule cong :premises (@p1439 @p1438) :args (@t228)) % 0.53/0.71 (step @p1441 :rule cong :premises (@p184 @p1440) :args (@t229)) % 0.53/0.71 (step @p1442 :rule cong :premises (@p237 @p1441) :args (@t230)) % 0.53/0.71 (step @p1443 :rule cong :premises (@p306 @p1442) :args (@t231)) % 0.53/0.71 (step @p1444 :rule cong :premises (@p326 @p1443) :args (@t232)) % 0.53/0.71 (step @p1445 :rule cong :premises (@p361 @p1444) :args (@t233)) % 0.53/0.71 (step @p1446 :rule cong :premises (@p366 @p1445) :args (@t234)) % 0.53/0.71 (step @p1447 :rule cong :premises (@p379 @p1446) :args (@t235)) % 0.53/0.71 (step @p1448 :rule cong :premises (@p412 @p1447) :args (@t236)) % 0.53/0.71 (step @p1449 :rule cong :premises (@p472 @p1448) :args (@t237)) % 0.53/0.71 (step @p1450 :rule cong :premises (@p498 @p1449) :args (@t238)) % 0.53/0.71 (step @p1451 :rule cong :premises (@p515 @p1450) :args (@t239)) % 0.53/0.71 (step @p1452 :rule cong :premises (@p537 @p1451) :args (@t240)) % 0.53/0.71 (step @p1453 :rule cong :premises (@p615 @p1452) :args (@t241)) % 0.53/0.71 (step @p1454 :rule cong :premises (@p639 @p1453) :args (@t242)) % 0.53/0.71 (step @p1455 :rule cong :premises (@p660 @p1454) :args (@t243)) % 0.53/0.71 (step @p1456 :rule cong :premises (@p673 @p1455) :args (@t244)) % 0.53/0.71 (step @p1457 :rule cong :premises (@p690 @p1456) :args (@t245)) % 0.53/0.71 (step @p1458 :rule cong :premises (@p758 @p1457) :args (@t246)) % 0.53/0.71 (step @p1459 :rule cong :premises (@p1029 @p1458) :args (@t247)) % 0.53/0.71 (step @p1460 :rule cong :premises (@p1080 @p1459) :args (@t248)) % 0.53/0.71 (step @p1461 :rule cong :premises (@p1173 @p1460) :args (@t249)) % 0.53/0.71 (step @p1462 :rule cong :premises (@p1260 @p1461) :args (@t250)) % 0.53/0.71 (step @p1463 :rule cong :premises (@p1280 @p1462) :args (@t251)) % 0.53/0.71 (step @p1464 :rule refl :args (tptp.omega0Ax)) % 0.53/0.71 (step @p1465 :rule cong :premises (@p1464 @p1463) :args (@t252)) % 0.53/0.71 (step @p1466 :rule cong :premises (@p1318 @p1465) :args (@t253)) % 0.53/0.71 (step @p1467 :rule cong :premises (@p1349 @p1466) :args (@t254)) % 0.53/0.71 (step @p1468 :rule cong :premises (@p1363 @p1467) :args (@t255)) % 0.53/0.71 (step @p1469 :rule cong :premises (@p1367 @p1468) :args (@t256)) % 0.53/0.71 (step @p1470 :rule cong :premises (@p1378 @p1469) :args (@t257)) % 0.53/0.71 (step @p1471 :rule cong :premises (@p1470) :args (@t258)) % 0.53/0.71 (step @p1472 :rule trans :premises (@p1471 @p1383 @p113)) % 0.53/0.71 (step @p1473 :rule eq_resolve :premises (@p32 @p1472)) % 0.53/0.71 (step @p1474 :rule not_implies_elim2 :premises (@p1473)) % 0.53/0.71 (step @p1475 :rule not_implies_elim2 :premises (@p1474)) % 0.53/0.71 (step @p1476 :rule not_implies_elim2 :premises (@p1475)) % 0.53/0.71 (step @p1477 :rule not_implies_elim2 :premises (@p1476)) % 0.53/0.71 (step @p1478 :rule not_implies_elim2 :premises (@p1477)) % 0.53/0.71 (step @p1479 :rule not_implies_elim2 :premises (@p1478)) % 0.53/0.71 (step @p1480 :rule not_implies_elim2 :premises (@p1479)) % 0.53/0.71 (step @p1481 :rule not_implies_elim2 :premises (@p1480)) % 0.53/0.71 (step @p1482 :rule not_implies_elim2 :premises (@p1481)) % 0.53/0.71 (step @p1483 :rule not_implies_elim2 :premises (@p1482)) % 0.53/0.71 (step @p1484 :rule not_implies_elim2 :premises (@p1483)) % 0.53/0.71 (step @p1485 :rule not_implies_elim2 :premises (@p1484)) % 0.53/0.71 (step @p1486 :rule not_implies_elim2 :premises (@p1485)) % 0.53/0.71 (step @p1487 :rule not_implies_elim2 :premises (@p1486)) % 0.53/0.71 (step @p1488 :rule not_implies_elim2 :premises (@p1487)) % 0.53/0.71 (step @p1489 :rule not_implies_elim2 :premises (@p1488)) % 0.53/0.71 (step @p1490 :rule not_implies_elim2 :premises (@p1489)) % 0.53/0.71 (step @p1491 :rule not_implies_elim2 :premises (@p1490)) % 0.53/0.71 (step @p1492 :rule not_implies_elim2 :premises (@p1491)) % 0.53/0.71 (step @p1493 :rule not_implies_elim2 :premises (@p1492)) % 0.53/0.71 (step @p1494 :rule not_implies_elim2 :premises (@p1493)) % 0.53/0.71 (step @p1495 :rule not_implies_elim2 :premises (@p1494)) % 0.53/0.71 (step @p1496 :rule not_implies_elim2 :premises (@p1495)) % 0.53/0.71 (step @p1497 :rule not_implies_elim2 :premises (@p1496)) % 0.53/0.71 (step @p1498 :rule not_implies_elim2 :premises (@p1497)) % 0.53/0.71 (step @p1499 :rule not_implies_elim2 :premises (@p1498)) % 0.53/0.71 (step @p1500 :rule not_implies_elim2 :premises (@p1499)) % 0.53/0.71 (step @p1501 :rule not_implies_elim2 :premises (@p1500)) % 0.53/0.71 (step @p1502 :rule not_implies_elim2 :premises (@p1501)) % 0.53/0.71 (step @p1503 :rule not_implies_elim2 :premises (@p1502)) % 0.53/0.71 (step @p1504 :rule skolemize :premises (@p1503)) % 0.53/0.71 (step @p1505 :rule bool-double-not-elim :args (@t791)) % 0.53/0.71 (step @p1506 :rule refl :args (@t795)) % 0.53/0.71 (step @p1507 :rule nary_cong :premises (@p1506 @p1505) :args ((or @t795 (not @t794)))) % 0.53/0.71 (step @p1508 :rule cnf_or_neg :args (@t795 0)) % 0.53/0.71 (step @p1509 :rule eq_resolve :premises (@p1508 @p1507)) % 0.53/0.71 (step @p1510 :rule reordering :premises (@p1509) :args ((or @t791 @t795))) % 0.53/0.71 (step @p1511 :rule chain_m_resolution :premises (@p1510 @p1504) :args (@t791 @t796 @t797)) % 0.53/0.71 (step @p1512 :rule cnf_or_neg :args (@t795 2)) % 0.53/0.71 (step @p1513 :rule chain_m_resolution :premises (@p1512 @p1504) :args ((not @t792) @t796 @t797)) % 0.53/0.71 (step @p1514 :rule cnf_or_neg :args (@t795 1)) % 0.53/0.71 (step @p1515 :rule chain_m_resolution :premises (@p1514 @p1504) :args ((not @t793) @t796 @t797)) % 0.53/0.71 (step @p1516 :rule cnf_or_pos :args (@t798)) % 0.53/0.71 (step @p1517 :rule reordering :premises (@p1516) :args ((or @t793 @t792 @t799))) % 0.53/0.71 (step @p1518 :rule chain_m_resolution :premises (@p1517 @p1515 @p1513) :args (@t799 (@list true true) (@list @t793 @t792))) % 0.53/0.71 (step @p1519 :rule not_implies_elim1 :premises (@p1475)) % 0.53/0.71 (step @p1520 :rule instantiate :premises (@p1519) :args ((@list @t789 @t788 @t790))) % 0.53/0.71 (step @p1521 :rule cnf_equiv_pos1 :args (@t800)) % 0.53/0.71 (step @p1522 :rule reordering :premises (@p1521) :args ((or @t794 @t798 (not @t800)))) % 0.53/0.71 (step @p1523 false :rule chain_m_resolution :premises (@p1522 @p1520 @p1518 @p1511) :args (false (@list false true false) (@list @t800 @t798 @t791))) % 0.53/0.71 ) % 0.53/0.71 % SZS output end Proof % 0.53/0.71 % cvc5 exiting %------------------------------------------------------------------------------