%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU511^1 : 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 08:52:00 AM UTC 2026 % Result : Theorem 0.45s 0.70s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU511^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:40:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.51 %----Proving TH0 % 0.45/0.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.70 % SZS status Theorem % 0.45/0.70 % SZS output start Proof % 0.45/0.70 ( % 0.45/0.70 (declare-sort $$unsorted 0) % 0.45/0.70 (declare-const tptp.emptyset $$unsorted) % 0.45/0.70 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.45/0.70 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.45/0.70 (declare-const tptp.nonemptyI Bool) % 0.45/0.70 (declare-const tptp.nonemptyE1 Bool) % 0.45/0.70 (declare-const tptp.noeltsimpempty Bool) % 0.45/0.70 (declare-const tptp.emptyI Bool) % 0.45/0.70 (declare-const tptp.omegaIndAx Bool) % 0.45/0.70 (declare-const tptp.omega0Ax Bool) % 0.45/0.70 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.45/0.70 (declare-const tptp.powersetAx Bool) % 0.45/0.70 (declare-const tptp.omegaSAx Bool) % 0.45/0.70 (declare-const tptp.setext Bool) % 0.45/0.70 (declare-const tptp.setadjoinAx Bool) % 0.45/0.70 (declare-const tptp.setbeta Bool) % 0.45/0.70 (declare-const tptp.dsetconstrER Bool) % 0.45/0.70 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.70 (declare-const tptp.notinemptyset Bool) % 0.45/0.70 (declare-const tptp.foundationAx Bool) % 0.45/0.70 (declare-const tptp.setextAx Bool) % 0.45/0.70 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.70 (declare-const tptp.emptysetAx Bool) % 0.45/0.70 (declare-const tptp.dsetconstrEL Bool) % 0.45/0.70 (declare-const tptp.replAx Bool) % 0.45/0.70 (declare-const tptp.emptysetimpfalse Bool) % 0.45/0.70 (declare-const tptp.wellorderingAx Bool) % 0.45/0.70 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.45/0.70 (declare-const tptp.exuE1 Bool) % 0.45/0.70 (declare-const tptp.descrp Bool) % 0.45/0.70 (declare-const tptp.dsetconstrI Bool) % 0.45/0.70 (declare-const tptp.omega $$unsorted) % 0.45/0.70 (declare-const tptp.exuE3e Bool) % 0.45/0.70 (declare-const tptp.prop2setE Bool) % 0.45/0.70 (declare-const tptp.setunionAx Bool) % 0.45/0.70 (declare-const tptp.emptysetE Bool) % 0.45/0.70 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.45/0.70 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.45/0.70 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.45/0.70 (define @t1 () (@var "B" $$unsorted)) % 0.45/0.70 (define @t2 () (@var "A" $$unsorted)) % 0.45/0.70 (define @t3 () (= @t2 @t1)) % 0.45/0.70 (define @t4 () (@var "Xx" $$unsorted)) % 0.45/0.70 (define @t5 () (_ tptp.in @t4)) % 0.45/0.70 (define @t6 () (_ @t5 @t1)) % 0.45/0.70 (define @t7 () (_ @t5 @t2)) % 0.45/0.70 (define @t8 () (= @t7 @t6)) % 0.45/0.70 (define @t9 () (@list @t4)) % 0.45/0.70 (define @t10 () (forall @t9 @t8)) % 0.45/0.70 (define @t11 () (=> @t10 @t3)) % 0.45/0.70 (define @t12 () (@list @t2 @t1)) % 0.45/0.70 (define @t13 () (forall @t12 @t11)) % 0.45/0.70 (define @t14 () (= tptp.setextAx @t13)) % 0.45/0.70 (define @t15 () (_ @t5 tptp.emptyset)) % 0.45/0.70 (define @t16 () (not @t15)) % 0.45/0.70 (define @t17 () (forall @t9 @t16)) % 0.45/0.70 (define @t18 () (= tptp.emptysetAx @t17)) % 0.45/0.70 (define @t19 () (@var "Xy" $$unsorted)) % 0.45/0.70 (define @t20 () (_ tptp.in @t19)) % 0.45/0.70 (define @t21 () (_ @t20 @t2)) % 0.45/0.70 (define @t22 () (or (= @t19 @t4) @t21)) % 0.45/0.70 (define @t23 () (_ tptp.setadjoin @t4)) % 0.45/0.70 (define @t24 () (_ @t23 @t2)) % 0.45/0.70 (define @t25 () (_ @t20 @t24)) % 0.45/0.70 (define @t26 () (= @t25 @t22)) % 0.45/0.70 (define @t27 () (@list @t4 @t2 @t19)) % 0.45/0.70 (define @t28 () (forall @t27 @t26)) % 0.45/0.70 (define @t29 () (= tptp.setadjoinAx @t28)) % 0.45/0.70 (define @t30 () (forall @t9 (=> @t6 @t7))) % 0.45/0.70 (define @t31 () (_ tptp.powerset @t2)) % 0.45/0.70 (define @t32 () (_ tptp.in @t1)) % 0.45/0.70 (define @t33 () (_ @t32 @t31)) % 0.45/0.70 (define @t34 () (= @t33 @t30)) % 0.45/0.70 (define @t35 () (forall @t12 @t34)) % 0.45/0.70 (define @t36 () (= tptp.powersetAx @t35)) % 0.45/0.70 (define @t37 () (_ @t32 @t2)) % 0.45/0.70 (define @t38 () (and @t6 @t37)) % 0.45/0.70 (define @t39 () (@list @t1)) % 0.45/0.70 (define @t40 () (exists @t39 @t38)) % 0.45/0.70 (define @t41 () (_ tptp.setunion @t2)) % 0.45/0.70 (define @t42 () (_ @t5 @t41)) % 0.45/0.70 (define @t43 () (= @t42 @t40)) % 0.45/0.70 (define @t44 () (@list @t2 @t4)) % 0.45/0.70 (define @t45 () (forall @t44 @t43)) % 0.45/0.70 (define @t46 () (= tptp.setunionAx @t45)) % 0.45/0.70 (define @t47 () (_ tptp.in tptp.emptyset)) % 0.45/0.70 (define @t48 () (_ @t47 tptp.omega)) % 0.45/0.70 (define @t49 () (_ @t23 @t4)) % 0.45/0.70 (define @t50 () (_ tptp.in @t49)) % 0.45/0.70 (define @t51 () (_ @t50 tptp.omega)) % 0.45/0.70 (define @t52 () (_ @t5 tptp.omega)) % 0.45/0.70 (define @t53 () (forall @t9 (=> @t52 @t51))) % 0.45/0.70 (define @t54 () (= tptp.omegaSAx @t53)) % 0.45/0.70 (define @t55 () (forall @t9 (=> @t52 @t7))) % 0.45/0.70 (define @t56 () (_ @t50 @t2)) % 0.45/0.70 (define @t57 () (and @t52 @t7)) % 0.45/0.70 (define @t58 () (forall @t9 (=> @t57 @t56))) % 0.45/0.70 (define @t59 () (_ @t47 @t2)) % 0.45/0.70 (define @t60 () (and @t59 @t58)) % 0.45/0.70 (define @t61 () (=> @t60 @t55)) % 0.45/0.70 (define @t62 () (@list @t2)) % 0.45/0.70 (define @t63 () (forall @t62 @t61)) % 0.45/0.70 (define @t64 () (= tptp.omegaIndAx @t63)) % 0.45/0.70 (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.45/0.70 (define @t66 () (_ (_ @t65 @t19) @t4)) % 0.45/0.70 (define @t67 () (and @t21 @t66)) % 0.45/0.70 (define @t68 () (@list @t19)) % 0.45/0.70 (define @t69 () (exists @t68 @t67)) % 0.45/0.70 (define @t70 () (= @t6 @t69)) % 0.45/0.70 (define @t71 () (forall @t9 @t70)) % 0.45/0.70 (define @t72 () (exists @t39 @t71)) % 0.45/0.70 (define @t73 () (_ @t65 @t4)) % 0.45/0.70 (define @t74 () (_ @t73 @t19)) % 0.45/0.70 (define @t75 () (lambda @t68 @t74)) % 0.45/0.70 (define @t76 () (=> @t7 (_ tptp.exu @t75))) % 0.45/0.70 (define @t77 () (forall @t9 @t76)) % 0.45/0.70 (define @t78 () (=> @t77 @t72)) % 0.45/0.70 (define @t79 () (@list @t65 @t2)) % 0.45/0.70 (define @t80 () (forall @t79 @t78)) % 0.45/0.70 (define @t81 () (= tptp.replAx @t80)) % 0.45/0.70 (define @t82 () (and @t6 @t7)) % 0.45/0.70 (define @t83 () (exists @t9 @t82)) % 0.45/0.70 (define @t84 () (not @t83)) % 0.45/0.70 (define @t85 () (and @t37 @t84)) % 0.45/0.70 (define @t86 () (exists @t39 @t85)) % 0.45/0.70 (define @t87 () (exists @t9 @t7)) % 0.45/0.70 (define @t88 () (=> @t87 @t86)) % 0.45/0.70 (define @t89 () (forall @t62 @t88)) % 0.45/0.70 (define @t90 () (= tptp.foundationAx @t89)) % 0.45/0.70 (define @t91 () (@var "E" $$unsorted)) % 0.45/0.70 (define @t92 () (_ @t5 @t91)) % 0.45/0.70 (define @t93 () (@var "D" $$unsorted)) % 0.45/0.70 (define @t94 () (_ @t20 @t93)) % 0.45/0.70 (define @t95 () (_ @t20 @t91)) % 0.45/0.70 (define @t96 () (forall @t68 (=> @t95 @t94))) % 0.45/0.70 (define @t97 () (or @t96 @t92)) % 0.45/0.70 (define @t98 () (_ (_ tptp.in @t91) @t1)) % 0.45/0.70 (define @t99 () (=> @t98 @t97)) % 0.45/0.70 (define @t100 () (@list @t91)) % 0.45/0.70 (define @t101 () (forall @t100 @t99)) % 0.45/0.70 (define @t102 () (@var "C" $$unsorted)) % 0.45/0.70 (define @t103 () (_ @t20 @t102)) % 0.45/0.70 (define @t104 () (and @t94 @t103)) % 0.45/0.70 (define @t105 () (exists @t68 @t104)) % 0.45/0.70 (define @t106 () (not @t105)) % 0.45/0.70 (define @t107 () (_ @t5 @t102)) % 0.45/0.70 (define @t108 () (_ (_ tptp.in @t93) @t1)) % 0.45/0.70 (define @t109 () (and @t108 @t107 @t106 @t101)) % 0.45/0.70 (define @t110 () (@list @t93 @t4)) % 0.45/0.70 (define @t111 () (exists @t110 @t109)) % 0.45/0.70 (define @t112 () (exists @t9 @t107)) % 0.45/0.70 (define @t113 () (forall @t9 (=> @t107 @t7))) % 0.45/0.70 (define @t114 () (and @t113 @t112)) % 0.45/0.70 (define @t115 () (=> @t114 @t111)) % 0.45/0.70 (define @t116 () (@list @t102)) % 0.45/0.70 (define @t117 () (forall @t116 @t115)) % 0.45/0.70 (define @t118 () (_ @t5 @t93)) % 0.45/0.70 (define @t119 () (forall @t9 (=> @t118 @t107))) % 0.45/0.70 (define @t120 () (forall @t9 (=> @t107 @t118))) % 0.45/0.70 (define @t121 () (or @t120 @t119)) % 0.45/0.70 (define @t122 () (_ (_ tptp.in @t102) @t1)) % 0.45/0.70 (define @t123 () (and @t122 @t108)) % 0.45/0.70 (define @t124 () (=> @t123 @t121)) % 0.45/0.70 (define @t125 () (@list @t102 @t93)) % 0.45/0.70 (define @t126 () (forall @t125 @t124)) % 0.45/0.70 (define @t127 () (= @t4 @t19)) % 0.45/0.70 (define @t128 () (= @t107 @t103)) % 0.45/0.70 (define @t129 () (forall @t116 (=> @t122 @t128))) % 0.45/0.70 (define @t130 () (=> @t129 @t127)) % 0.45/0.70 (define @t131 () (and @t7 @t21)) % 0.45/0.70 (define @t132 () (=> @t131 @t130)) % 0.45/0.70 (define @t133 () (@list @t4 @t19)) % 0.45/0.70 (define @t134 () (forall @t133 @t132)) % 0.45/0.70 (define @t135 () (=> @t122 @t113)) % 0.45/0.70 (define @t136 () (forall @t116 @t135)) % 0.45/0.70 (define @t137 () (and @t136 @t134 @t126 @t117)) % 0.45/0.70 (define @t138 () (exists @t39 @t137)) % 0.45/0.70 (define @t139 () (forall @t62 @t138)) % 0.45/0.70 (define @t140 () (= tptp.wellorderingAx @t139)) % 0.45/0.70 (define @t141 () (@var "Xphi" (-> $$unsorted Bool))) % 0.45/0.70 (define @t142 () (_ @t141 @t4)) % 0.45/0.70 (define @t143 () (lambda @t9 @t142)) % 0.45/0.70 (define @t144 () (_ tptp.descr @t143)) % 0.45/0.70 (define @t145 () (_ @t141 @t144)) % 0.45/0.70 (define @t146 () (_ tptp.exu @t143)) % 0.45/0.70 (define @t147 () (=> @t146 @t145)) % 0.45/0.70 (define @t148 () (@list @t141)) % 0.45/0.70 (define @t149 () (forall @t148 @t147)) % 0.45/0.70 (define @t150 () (= tptp.descrp @t149)) % 0.45/0.70 (define @t151 () (_ @t141 @t19)) % 0.45/0.70 (define @t152 () (lambda @t68 @t151)) % 0.45/0.70 (define @t153 () (_ tptp.dsetconstr @t2)) % 0.45/0.70 (define @t154 () (_ @t153 @t152)) % 0.45/0.70 (define @t155 () (_ @t5 @t154)) % 0.45/0.70 (define @t156 () (=> @t142 @t155)) % 0.45/0.70 (define @t157 () (@list @t2 @t141 @t4)) % 0.45/0.70 (define @t158 () (forall @t157 (=> @t7 @t156))) % 0.45/0.70 (define @t159 () (= tptp.dsetconstrI @t158)) % 0.45/0.70 (define @t160 () (forall @t157 (=> @t155 @t7))) % 0.45/0.70 (define @t161 () (= tptp.dsetconstrEL @t160)) % 0.45/0.70 (define @t162 () (forall @t157 (=> @t155 @t142))) % 0.45/0.70 (define @t163 () (= tptp.dsetconstrER @t162)) % 0.45/0.70 (define @t164 () (forall @t68 (=> @t151 @t127))) % 0.45/0.70 (define @t165 () (and @t142 @t164)) % 0.45/0.70 (define @t166 () (exists @t9 @t165)) % 0.45/0.70 (define @t167 () (=> @t146 @t166)) % 0.45/0.70 (define @t168 () (forall @t148 @t167)) % 0.45/0.70 (define @t169 () (= tptp.exuE1 @t168)) % 0.45/0.70 (define @t170 () (@var "Xphi" Bool)) % 0.45/0.70 (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170)) % 0.45/0.70 (define @t172 () (@list @t170 @t4)) % 0.45/0.70 (define @t173 () (forall @t172 @t171)) % 0.45/0.70 (define @t174 () (= tptp.prop2setE @t173)) % 0.45/0.70 (define @t175 () (@list @t170)) % 0.45/0.70 (define @t176 () (forall @t175 @t170)) % 0.45/0.70 (define @t177 () (=> @t15 @t176)) % 0.45/0.70 (define @t178 () (forall @t9 @t177)) % 0.45/0.70 (define @t179 () (= tptp.emptysetE @t178)) % 0.45/0.70 (define @t180 () (forall @t9 (=> @t15 false))) % 0.45/0.70 (define @t181 () (= tptp.emptysetimpfalse @t180)) % 0.45/0.70 (define @t182 () (exists @t9 @t142)) % 0.45/0.70 (define @t183 () (=> @t146 @t182)) % 0.45/0.70 (define @t184 () (forall @t148 @t183)) % 0.45/0.70 (define @t185 () (= tptp.exuE3e @t184)) % 0.45/0.70 (define @t186 () (=> @t30 @t3)) % 0.45/0.70 (define @t187 () (forall @t9 (=> @t7 @t6))) % 0.45/0.70 (define @t188 () (=> @t187 @t186)) % 0.45/0.70 (define @t189 () (forall @t12 @t188)) % 0.45/0.70 (define @t190 () (= tptp.setext @t189)) % 0.45/0.70 (define @t191 () (= @t2 tptp.emptyset)) % 0.45/0.70 (define @t192 () (not @t7)) % 0.45/0.70 (define @t193 () (forall @t9 @t192)) % 0.45/0.70 (define @t194 () (=> @t193 @t191)) % 0.45/0.70 (define @t195 () (forall @t62 @t194)) % 0.45/0.70 (define @t196 () (= tptp.emptyI @t195)) % 0.45/0.70 (define @t197 () (=> @t7 (= @t155 @t142))) % 0.45/0.70 (define @t198 () (forall @t157 @t197)) % 0.45/0.70 (define @t199 () (= tptp.setbeta @t198)) % 0.45/0.70 (define @t200 () (_ tptp.nonempty @t2)) % 0.45/0.70 (define @t201 () (=> @t200 @t87)) % 0.45/0.70 (define @t202 () (forall @t62 @t201)) % 0.45/0.70 (define @t203 () (= tptp.nonemptyE1 @t202)) % 0.45/0.70 (define @t204 () (=> @t142 (_ tptp.nonempty @t154))) % 0.45/0.70 (define @t205 () (=> @t7 @t204)) % 0.45/0.70 (define @t206 () (forall @t157 @t205)) % 0.45/0.70 (define @t207 () (= tptp.nonemptyI @t206)) % 0.45/0.70 (define @t208 () (=> @t87 @t200)) % 0.45/0.70 (define @t209 () (forall @t62 @t208)) % 0.45/0.70 (define @t210 () (=> tptp.nonemptyI @t209)) % 0.45/0.70 (define @t211 () (=> tptp.nonemptyE1 @t210)) % 0.45/0.70 (define @t212 () (=> tptp.setbeta @t211)) % 0.45/0.70 (define @t213 () (=> tptp.noeltsimpempty @t212)) % 0.45/0.70 (define @t214 () (=> tptp.emptyI @t213)) % 0.45/0.70 (define @t215 () (=> tptp.setext @t214)) % 0.45/0.70 (define @t216 () (=> tptp.exuE3e @t215)) % 0.45/0.70 (define @t217 () (=> tptp.notinemptyset @t216)) % 0.45/0.70 (define @t218 () (=> tptp.emptysetimpfalse @t217)) % 0.45/0.70 (define @t219 () (=> tptp.emptysetE @t218)) % 0.45/0.70 (define @t220 () (=> tptp.prop2setE @t219)) % 0.45/0.70 (define @t221 () (=> tptp.exuE1 @t220)) % 0.45/0.70 (define @t222 () (=> tptp.dsetconstrER @t221)) % 0.45/0.70 (define @t223 () (=> tptp.dsetconstrEL @t222)) % 0.45/0.70 (define @t224 () (=> tptp.dsetconstrI @t223)) % 0.45/0.70 (define @t225 () (=> tptp.descrp @t224)) % 0.45/0.70 (define @t226 () (=> tptp.wellorderingAx @t225)) % 0.45/0.70 (define @t227 () (=> tptp.foundationAx @t226)) % 0.45/0.70 (define @t228 () (=> tptp.replAx @t227)) % 0.45/0.70 (define @t229 () (=> tptp.omegaIndAx @t228)) % 0.45/0.70 (define @t230 () (=> tptp.omegaSAx @t229)) % 0.45/0.70 (define @t231 () (=> tptp.omega0Ax @t230)) % 0.45/0.70 (define @t232 () (=> tptp.setunionAx @t231)) % 0.45/0.70 (define @t233 () (=> tptp.powersetAx @t232)) % 0.45/0.70 (define @t234 () (=> tptp.setadjoinAx @t233)) % 0.45/0.70 (define @t235 () (=> tptp.emptysetAx @t234)) % 0.45/0.70 (define @t236 () (=> tptp.setextAx @t235)) % 0.45/0.70 (define @t237 () (not @t236)) % 0.45/0.70 (define @t238 () (lambda @t148 @t166)) % 0.45/0.70 (define @t239 () (lambda @t9 @t170)) % 0.45/0.70 (define @t240 () (_ tptp.powerset tptp.emptyset)) % 0.45/0.70 (define @t241 () (_ tptp.dsetconstr @t240)) % 0.45/0.70 (define @t242 () (_ @t241 @t239)) % 0.45/0.70 (define @t243 () (lambda @t175 @t242)) % 0.45/0.70 (define @t244 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.45/0.70 (define @t245 () (@var "BOUND_VARIABLE_8467" $$unsorted)) % 0.45/0.70 (define @t246 () (not (tptp.in @t245 tptp.emptyset))) % 0.45/0.70 (define @t247 () (@list @t245)) % 0.45/0.70 (define @t248 () (forall @t247 @t246)) % 0.45/0.70 (define @t249 () (tptp.dsetconstr @t2 @t141)) % 0.45/0.70 (define @t250 () (_ @t141 @t4)) % 0.45/0.70 (define @t251 () (not @t250)) % 0.45/0.70 (define @t252 () (tptp.in @t4 @t2)) % 0.45/0.70 (define @t253 () (not @t252)) % 0.45/0.70 (define @t254 () (forall @t9 @t253)) % 0.45/0.70 (define @t255 () (not @t254)) % 0.45/0.70 (define @t256 () (tptp.in @t4 @t249)) % 0.45/0.70 (define @t257 () (forall @t62 (or @t255 @t191))) % 0.45/0.70 (define @t258 () (tptp.in @t4 @t1)) % 0.45/0.70 (define @t259 () (not @t258)) % 0.45/0.70 (define @t260 () (forall @t9 (or @t259 @t252))) % 0.45/0.70 (define @t261 () (not @t260)) % 0.45/0.70 (define @t262 () (forall @t9 (or @t253 @t258))) % 0.45/0.70 (define @t263 () (not @t262)) % 0.45/0.70 (define @t264 () (or @t263 @t261 @t3)) % 0.45/0.70 (define @t265 () (@var "BOUND_VARIABLE_8337" $$unsorted)) % 0.45/0.70 (define @t266 () (_ @t141 @t19)) % 0.45/0.70 (define @t267 () (not @t266)) % 0.45/0.70 (define @t268 () (not (_ @t141 @t265))) % 0.45/0.70 (define @t269 () (not (forall @t9 @t251))) % 0.45/0.70 (define @t270 () (@list @t141 @t265)) % 0.45/0.70 (define @t271 () (tptp.in @t4 tptp.emptyset)) % 0.45/0.70 (define @t272 () (forall @t9 (not @t271))) % 0.45/0.70 (define @t273 () (@var "BOUND_VARIABLE_13481" $$unsorted)) % 0.45/0.70 (define @t274 () (lambda (@list @t273) false)) % 0.45/0.70 (define @t275 () (tptp.powerset tptp.emptyset)) % 0.45/0.70 (define @t276 () (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t275 @t274)))) (=> @t272 (=> @t272 (=> @t272 (=> (forall @t270 (or @t269 @t268 (not (forall @t68 (or @t267 (= @t19 @t265)))))) (=> (forall @t12 @t264) (=> @t257 (=> @t257 (=> (forall @t157 (or @t253 (= @t250 @t256))) (=> (forall @t62 (or @t191 @t255)) (=> (forall @t157 (or @t253 @t251 (not (= tptp.emptyset @t249)))) @t248)))))))))))) % 0.45/0.70 (define @t277 () (not @t256)) % 0.45/0.70 (define @t278 () (forall @t157 (or @t277 @t250))) % 0.45/0.70 (define @t279 () (forall @t157 (or @t277 @t252))) % 0.45/0.70 (define @t280 () (forall @t157 (or @t253 @t251 @t256))) % 0.45/0.70 (define @t281 () (@var "BOUND_VARIABLE_8208" $$unsorted)) % 0.45/0.70 (define @t282 () (not (_ @t141 @t281))) % 0.45/0.70 (define @t283 () (_ @t141 (tptp.descr @t141))) % 0.45/0.70 (define @t284 () (@list @t141 @t281)) % 0.45/0.70 (define @t285 () (forall @t284 (or @t283 @t282 (not (forall @t68 (or @t267 (= @t19 @t281))))))) % 0.45/0.70 (define @t286 () (@var "BOUND_VARIABLE_8128" $$unsorted)) % 0.45/0.70 (define @t287 () (tptp.in @t286 @t93)) % 0.45/0.70 (define @t288 () (not (tptp.in @t286 @t91))) % 0.45/0.70 (define @t289 () (tptp.in @t4 @t91)) % 0.45/0.70 (define @t290 () (tptp.in @t91 @t1)) % 0.45/0.70 (define @t291 () (not @t290)) % 0.45/0.70 (define @t292 () (or @t291 @t289 @t288 @t287)) % 0.45/0.70 (define @t293 () (@list @t91 @t286)) % 0.45/0.70 (define @t294 () (forall @t293 @t292)) % 0.45/0.70 (define @t295 () (not @t294)) % 0.45/0.70 (define @t296 () (tptp.in @t19 @t102)) % 0.45/0.70 (define @t297 () (tptp.in @t19 @t93)) % 0.45/0.70 (define @t298 () (forall @t68 (or (not @t297) (not @t296)))) % 0.45/0.70 (define @t299 () (not @t298)) % 0.45/0.70 (define @t300 () (tptp.in @t4 @t102)) % 0.45/0.70 (define @t301 () (not @t300)) % 0.45/0.70 (define @t302 () (tptp.in @t93 @t1)) % 0.45/0.70 (define @t303 () (not @t302)) % 0.45/0.70 (define @t304 () (not (forall @t110 (or @t303 @t301 @t299 @t295)))) % 0.45/0.70 (define @t305 () (@var "BOUND_VARIABLE_8157" $$unsorted)) % 0.45/0.70 (define @t306 () (not (tptp.in @t305 @t102))) % 0.45/0.70 (define @t307 () (forall @t9 (or @t301 @t252))) % 0.45/0.70 (define @t308 () (not @t307)) % 0.45/0.70 (define @t309 () (or @t308 @t306 @t304)) % 0.45/0.70 (define @t310 () (forall (@list @t102 @t305) @t309)) % 0.45/0.70 (define @t311 () (not @t310)) % 0.45/0.70 (define @t312 () (@var "BOUND_VARIABLE_8080" $$unsorted)) % 0.45/0.70 (define @t313 () (tptp.in @t312 @t102)) % 0.45/0.70 (define @t314 () (not (tptp.in @t312 @t93))) % 0.45/0.70 (define @t315 () (@var "BOUND_VARIABLE_8074" $$unsorted)) % 0.45/0.70 (define @t316 () (tptp.in @t315 @t93)) % 0.45/0.70 (define @t317 () (not (tptp.in @t315 @t102))) % 0.45/0.70 (define @t318 () (tptp.in @t102 @t1)) % 0.45/0.70 (define @t319 () (not @t318)) % 0.45/0.70 (define @t320 () (or @t319 @t303 @t317 @t316 @t314 @t313)) % 0.45/0.70 (define @t321 () (@list @t102 @t93 @t315 @t312)) % 0.45/0.70 (define @t322 () (forall @t321 @t320)) % 0.45/0.70 (define @t323 () (not @t322)) % 0.45/0.70 (define @t324 () (forall @t116 (or @t319 (= @t300 @t296)))) % 0.45/0.70 (define @t325 () (not @t324)) % 0.45/0.70 (define @t326 () (tptp.in @t19 @t2)) % 0.45/0.70 (define @t327 () (not @t326)) % 0.45/0.70 (define @t328 () (forall @t133 (or @t253 @t327 @t325 @t127))) % 0.45/0.70 (define @t329 () (not @t328)) % 0.45/0.70 (define @t330 () (@var "BOUND_VARIABLE_8023" $$unsorted)) % 0.45/0.70 (define @t331 () (tptp.in @t330 @t2)) % 0.45/0.70 (define @t332 () (not (tptp.in @t330 @t102))) % 0.45/0.70 (define @t333 () (or @t319 @t332 @t331)) % 0.45/0.70 (define @t334 () (@list @t102 @t330)) % 0.45/0.70 (define @t335 () (forall @t334 @t333)) % 0.45/0.70 (define @t336 () (not @t335)) % 0.45/0.70 (define @t337 () (or @t336 @t329 @t323 @t311)) % 0.45/0.70 (define @t338 () (forall @t62 (not (forall @t39 @t337)))) % 0.45/0.70 (define @t339 () (forall @t9 (or @t259 @t253))) % 0.45/0.70 (define @t340 () (not @t339)) % 0.45/0.70 (define @t341 () (tptp.in @t1 @t2)) % 0.45/0.70 (define @t342 () (not @t341)) % 0.45/0.70 (define @t343 () (not (forall @t39 (or @t342 @t340)))) % 0.45/0.70 (define @t344 () (@var "BOUND_VARIABLE_7998" $$unsorted)) % 0.45/0.70 (define @t345 () (not (tptp.in @t344 @t2))) % 0.45/0.70 (define @t346 () (or @t345 @t343)) % 0.45/0.70 (define @t347 () (forall (@list @t2 @t344) @t346)) % 0.45/0.70 (define @t348 () (_ @t65 @t19 @t4)) % 0.45/0.70 (define @t349 () (not (forall @t68 (or @t327 (not @t348))))) % 0.45/0.70 (define @t350 () (forall @t9 (= @t258 @t349))) % 0.45/0.70 (define @t351 () (not (forall @t39 (not @t350)))) % 0.45/0.70 (define @t352 () (@var "BOUND_VARIABLE_7888" $$unsorted)) % 0.45/0.70 (define @t353 () (= @t19 @t352)) % 0.45/0.70 (define @t354 () (_ @t65 @t4 @t19)) % 0.45/0.70 (define @t355 () (not (forall @t68 (or (not @t354) @t353)))) % 0.45/0.70 (define @t356 () (_ @t65 @t4 @t352)) % 0.45/0.70 (define @t357 () (@list @t352)) % 0.45/0.70 (define @t358 () (not (forall @t357 (or (not @t356) @t355)))) % 0.45/0.70 (define @t359 () (forall @t9 (or @t253 @t358))) % 0.45/0.70 (define @t360 () (forall @t79 (or (not @t359) @t351))) % 0.45/0.70 (define @t361 () (@var "BOUND_VARIABLE_7869" $$unsorted)) % 0.45/0.70 (define @t362 () (tptp.in @t361 @t2)) % 0.45/0.70 (define @t363 () (not (tptp.in @t361 tptp.omega))) % 0.45/0.70 (define @t364 () (tptp.setadjoin @t4 @t4)) % 0.45/0.70 (define @t365 () (tptp.in @t364 @t2)) % 0.45/0.70 (define @t366 () (tptp.in @t4 tptp.omega)) % 0.45/0.70 (define @t367 () (not @t366)) % 0.45/0.70 (define @t368 () (forall @t9 (or @t367 @t253 @t365))) % 0.45/0.70 (define @t369 () (not @t368)) % 0.45/0.70 (define @t370 () (tptp.in tptp.emptyset @t2)) % 0.45/0.70 (define @t371 () (not @t370)) % 0.45/0.70 (define @t372 () (or @t371 @t369 @t363 @t362)) % 0.45/0.70 (define @t373 () (@list @t2 @t361)) % 0.45/0.70 (define @t374 () (forall @t373 @t372)) % 0.45/0.70 (define @t375 () (tptp.in @t364 tptp.omega)) % 0.45/0.70 (define @t376 () (forall @t9 (or @t367 @t375))) % 0.45/0.70 (define @t377 () (=> @t376 (=> @t374 (=> @t360 (=> @t347 (=> @t338 (=> @t285 (=> @t280 (=> @t279 (=> @t278 @t276)))))))))) % 0.45/0.70 (define @t378 () (tptp.in tptp.emptyset tptp.omega)) % 0.45/0.70 (define @t379 () (=> @t48 @t377)) % 0.45/0.70 (define @t380 () (tptp.setunion @t2)) % 0.45/0.70 (define @t381 () (tptp.in @t4 @t380)) % 0.45/0.70 (define @t382 () (not (forall @t39 (or @t259 @t342)))) % 0.45/0.70 (define @t383 () (forall @t44 (= @t382 @t381))) % 0.45/0.70 (define @t384 () (=> @t383 @t379)) % 0.45/0.70 (define @t385 () (tptp.powerset @t2)) % 0.45/0.70 (define @t386 () (tptp.in @t1 @t385)) % 0.45/0.70 (define @t387 () (forall @t12 (= @t260 @t386))) % 0.45/0.70 (define @t388 () (=> @t387 @t384)) % 0.45/0.70 (define @t389 () (tptp.setadjoin @t4 @t2)) % 0.45/0.70 (define @t390 () (tptp.in @t19 @t389)) % 0.45/0.70 (define @t391 () (forall @t27 (= @t390 (or @t127 @t326)))) % 0.45/0.70 (define @t392 () (=> @t391 @t388)) % 0.45/0.70 (define @t393 () (=> @t272 @t392)) % 0.45/0.70 (define @t394 () (forall @t9 (= @t252 @t258))) % 0.45/0.70 (define @t395 () (forall @t12 (or (not @t394) @t3))) % 0.45/0.70 (define @t396 () (=> @t395 @t393)) % 0.45/0.70 (define @t397 () (=> @t278 (=> true @t276))) % 0.45/0.70 (define @t398 () (=> @t279 @t397)) % 0.45/0.70 (define @t399 () (=> @t280 @t398)) % 0.45/0.70 (define @t400 () (=> @t285 @t399)) % 0.45/0.70 (define @t401 () (=> @t338 @t400)) % 0.45/0.70 (define @t402 () (=> @t347 @t401)) % 0.45/0.70 (define @t403 () (=> @t360 @t402)) % 0.45/0.70 (define @t404 () (=> @t374 @t403)) % 0.45/0.70 (define @t405 () (=> @t376 @t404)) % 0.45/0.70 (define @t406 () (=> @t48 @t405)) % 0.45/0.70 (define @t407 () (=> @t383 @t406)) % 0.45/0.70 (define @t408 () (=> @t387 @t407)) % 0.45/0.70 (define @t409 () (=> @t391 @t408)) % 0.45/0.70 (define @t410 () (=> @t272 @t409)) % 0.45/0.70 (define @t411 () (=> @t395 @t410)) % 0.45/0.70 (define @t412 () (lambda @t68 @t266)) % 0.45/0.70 (define @t413 () (tptp.dsetconstr @t2 @t412)) % 0.45/0.70 (define @t414 () (= tptp.emptyset @t413)) % 0.45/0.70 (define @t415 () (not @t414)) % 0.45/0.70 (define @t416 () (or @t253 @t251 @t415)) % 0.45/0.70 (define @t417 () (= tptp.emptyset @t154)) % 0.45/0.70 (define @t418 () (not @t417)) % 0.45/0.70 (define @t419 () (not @t142)) % 0.45/0.70 (define @t420 () (or @t192 @t419 @t418)) % 0.45/0.70 (define @t421 () (=> @t142 @t418)) % 0.45/0.70 (define @t422 () (not (= @t154 tptp.emptyset))) % 0.45/0.70 (define @t423 () (_ @t244 @t154)) % 0.45/0.70 (define @t424 () (=> @t142 @t423)) % 0.45/0.70 (define @t425 () (=> @t7 @t424)) % 0.45/0.70 (define @t426 () (forall @t157 @t425)) % 0.45/0.70 (define @t427 () (=> tptp.nonemptyI @t248)) % 0.45/0.70 (define @t428 () (not @t191)) % 0.45/0.70 (define @t429 () (not @t193)) % 0.45/0.70 (define @t430 () (_ @t244 @t2)) % 0.45/0.70 (define @t431 () (=> @t430 @t87)) % 0.45/0.70 (define @t432 () (forall @t62 @t431)) % 0.45/0.70 (define @t433 () (=> tptp.nonemptyE1 @t427)) % 0.45/0.70 (define @t434 () (tptp.in @t4 @t413)) % 0.45/0.70 (define @t435 () (= @t250 @t434)) % 0.45/0.70 (define @t436 () (or @t253 @t435)) % 0.45/0.70 (define @t437 () (= @t142 @t155)) % 0.45/0.70 (define @t438 () (or @t192 @t437)) % 0.45/0.70 (define @t439 () (=> tptp.setbeta @t433)) % 0.45/0.70 (define @t440 () (=> tptp.noeltsimpempty @t439)) % 0.45/0.70 (define @t441 () (=> tptp.emptyI @t440)) % 0.45/0.70 (define @t442 () (=> @t260 @t3)) % 0.45/0.70 (define @t443 () (not @t6)) % 0.45/0.70 (define @t444 () (or @t443 @t7)) % 0.45/0.70 (define @t445 () (or @t192 @t6)) % 0.45/0.70 (define @t446 () (=> tptp.setext @t441)) % 0.45/0.70 (define @t447 () (or @t267 (= @t265 @t19))) % 0.45/0.70 (define @t448 () (forall @t68 @t447)) % 0.45/0.70 (define @t449 () (not @t448)) % 0.45/0.70 (define @t450 () (or @t269 @t268 @t449)) % 0.45/0.70 (define @t451 () (or @t268 @t449)) % 0.45/0.70 (define @t452 () (or @t451 @t269)) % 0.45/0.70 (define @t453 () (forall @t270 @t452)) % 0.45/0.70 (define @t454 () (@list @t265)) % 0.45/0.70 (define @t455 () (forall @t454 @t452)) % 0.45/0.70 (define @t456 () (forall @t454 @t451)) % 0.45/0.70 (define @t457 () (@list @t4)) % 0.45/0.70 (define @t458 () (or @t456 @t269)) % 0.45/0.70 (define @t459 () (forall @t68 (or @t267 @t127))) % 0.45/0.70 (define @t460 () (not @t459)) % 0.45/0.70 (define @t461 () (forall @t9 (or @t251 @t460))) % 0.45/0.70 (define @t462 () (not @t461)) % 0.45/0.70 (define @t463 () (not @t462)) % 0.45/0.70 (define @t464 () (forall @t9 @t419)) % 0.45/0.70 (define @t465 () (not @t464)) % 0.45/0.70 (define @t466 () (or @t419 @t460)) % 0.45/0.70 (define @t467 () (not @t151)) % 0.45/0.70 (define @t468 () (or @t467 @t127)) % 0.45/0.70 (define @t469 () (_ @t143 @t19)) % 0.45/0.70 (define @t470 () (not @t469)) % 0.45/0.70 (define @t471 () (or @t470 @t127)) % 0.45/0.70 (define @t472 () (forall @t68 @t471)) % 0.45/0.70 (define @t473 () (not @t472)) % 0.45/0.70 (define @t474 () (_ @t143 @t4)) % 0.45/0.70 (define @t475 () (not @t474)) % 0.45/0.70 (define @t476 () (or @t475 @t473)) % 0.45/0.70 (define @t477 () (forall @t9 @t476)) % 0.45/0.70 (define @t478 () (not @t477)) % 0.45/0.70 (define @t479 () (lambda @t148 @t462)) % 0.45/0.70 (define @t480 () (_ @t479 @t143)) % 0.45/0.70 (define @t481 () (=> @t480 @t182)) % 0.45/0.70 (define @t482 () (forall @t148 @t481)) % 0.45/0.70 (define @t483 () (and @t142 @t459)) % 0.45/0.70 (define @t484 () (forall @t9 (not @t483))) % 0.45/0.70 (define @t485 () (not @t484)) % 0.45/0.70 (define @t486 () (=> tptp.exuE3e @t446)) % 0.45/0.70 (define @t487 () (=> tptp.notinemptyset @t486)) % 0.45/0.70 (define @t488 () (=> tptp.emptysetimpfalse @t487)) % 0.45/0.70 (define @t489 () (not (= @t170 false))) % 0.45/0.70 (define @t490 () (or @t170 @t170)) % 0.45/0.70 (define @t491 () (=> tptp.emptysetE @t488)) % 0.45/0.70 (define @t492 () (@var "BOUND_VARIABLE_8282" $$unsorted)) % 0.45/0.70 (define @t493 () (@list @t492)) % 0.45/0.70 (define @t494 () (lambda @t493 false)) % 0.45/0.70 (define @t495 () (@list @t492)) % 0.45/0.70 (define @t496 () (tptp.dsetconstr @t275 @t494)) % 0.45/0.70 (define @t497 () (tptp.in @t4 @t496)) % 0.45/0.70 (define @t498 () (not @t497)) % 0.45/0.70 (define @t499 () (or @t498 false)) % 0.45/0.70 (define @t500 () (lambda @t493 @t170)) % 0.45/0.70 (define @t501 () (tptp.dsetconstr @t275 @t500)) % 0.45/0.70 (define @t502 () (tptp.in @t4 @t501)) % 0.45/0.70 (define @t503 () (not @t502)) % 0.45/0.70 (define @t504 () (or @t170 @t503 @t170)) % 0.45/0.70 (define @t505 () (or @t503 @t170)) % 0.45/0.70 (define @t506 () (forall @t175 @t505)) % 0.45/0.70 (define @t507 () (forall @t9 @t506)) % 0.45/0.70 (define @t508 () (forall (@list @t4 @t170) @t505)) % 0.45/0.70 (define @t509 () (_ @t241 @t500)) % 0.45/0.70 (define @t510 () (_ @t5 @t509)) % 0.45/0.70 (define @t511 () (not @t510)) % 0.45/0.70 (define @t512 () (or @t511 @t170)) % 0.45/0.70 (define @t513 () (=> (_ @t5 @t242) @t170)) % 0.45/0.70 (define @t514 () (_ @t243 @t170)) % 0.45/0.70 (define @t515 () (=> (_ @t5 @t514) @t170)) % 0.45/0.70 (define @t516 () (forall @t172 @t515)) % 0.45/0.70 (define @t517 () (=> tptp.prop2setE @t491)) % 0.45/0.70 (define @t518 () (=> @t480 @t166)) % 0.45/0.70 (define @t519 () (forall @t148 @t518)) % 0.45/0.70 (define @t520 () (=> tptp.exuE1 @t517)) % 0.45/0.70 (define @t521 () (not @t434)) % 0.45/0.70 (define @t522 () (or @t521 @t250)) % 0.45/0.70 (define @t523 () (not @t155)) % 0.45/0.70 (define @t524 () (or @t523 @t142)) % 0.45/0.70 (define @t525 () (=> tptp.dsetconstrER @t520)) % 0.45/0.70 (define @t526 () (or @t521 @t252)) % 0.45/0.70 (define @t527 () (or @t523 @t7)) % 0.45/0.70 (define @t528 () (=> tptp.dsetconstrEL @t525)) % 0.45/0.70 (define @t529 () (or @t253 @t251 @t434)) % 0.45/0.70 (define @t530 () (or @t192 @t419 @t155)) % 0.45/0.70 (define @t531 () (=> tptp.dsetconstrI @t528)) % 0.36/0.70 (define @t532 () (or @t267 (= @t281 @t19))) % 0.36/0.70 (define @t533 () (forall @t68 @t532)) % 0.36/0.70 (define @t534 () (not @t533)) % 0.36/0.70 (define @t535 () (or @t283 @t282 @t534)) % 0.36/0.70 (define @t536 () (or @t282 @t534)) % 0.36/0.70 (define @t537 () (or @t536 @t283)) % 0.36/0.70 (define @t538 () (forall @t284 @t537)) % 0.36/0.70 (define @t539 () (@list @t281)) % 0.36/0.70 (define @t540 () (forall @t539 @t537)) % 0.36/0.70 (define @t541 () (forall @t539 @t536)) % 0.36/0.70 (define @t542 () (or @t541 @t283)) % 0.36/0.70 (define @t543 () (lambda @t9 @t250)) % 0.36/0.70 (define @t544 () (tptp.descr @t543)) % 0.36/0.70 (define @t545 () (_ @t141 @t544)) % 0.36/0.70 (define @t546 () (or @t461 @t545)) % 0.36/0.70 (define @t547 () (or @t461 @t145)) % 0.36/0.70 (define @t548 () (=> @t480 @t145)) % 0.36/0.70 (define @t549 () (forall @t148 @t548)) % 0.36/0.70 (define @t550 () (=> tptp.descrp @t531)) % 0.36/0.70 (define @t551 () (and @t335 @t328 @t322 @t310)) % 0.36/0.70 (define @t552 () (forall @t39 (not @t551))) % 0.36/0.70 (define @t553 () (not @t552)) % 0.36/0.70 (define @t554 () (@list @t305)) % 0.36/0.70 (define @t555 () (forall @t554 @t309)) % 0.36/0.70 (define @t556 () (forall @t554 @t306)) % 0.36/0.70 (define @t557 () (or @t308 @t556 @t304)) % 0.36/0.70 (define @t558 () (forall @t9 @t301)) % 0.36/0.70 (define @t559 () (or @t308 @t558 @t304)) % 0.36/0.70 (define @t560 () (not @t558)) % 0.36/0.70 (define @t561 () (and @t307 @t560)) % 0.36/0.70 (define @t562 () (not @t107)) % 0.36/0.70 (define @t563 () (not @t108)) % 0.36/0.70 (define @t564 () (or @t563 @t562 @t299 @t295)) % 0.36/0.70 (define @t565 () (and @t108 @t107 @t298 @t294)) % 0.36/0.70 (define @t566 () (forall @t110 (not @t565))) % 0.36/0.70 (define @t567 () (not @t566)) % 0.36/0.70 (define @t568 () (or @t288 @t287)) % 0.36/0.70 (define @t569 () (or @t291 @t568 @t289)) % 0.36/0.70 (define @t570 () (forall @t293 @t569)) % 0.36/0.70 (define @t571 () (@list @t286)) % 0.36/0.70 (define @t572 () (forall @t571 @t569)) % 0.36/0.70 (define @t573 () (forall @t571 @t568)) % 0.36/0.70 (define @t574 () (or @t291 @t573 @t289)) % 0.36/0.70 (define @t575 () (tptp.in @t19 @t91)) % 0.36/0.70 (define @t576 () (forall @t68 (or (not @t575) @t297))) % 0.36/0.70 (define @t577 () (not @t98)) % 0.36/0.70 (define @t578 () (or @t577 @t576 @t92)) % 0.36/0.70 (define @t579 () (or @t576 @t92)) % 0.36/0.70 (define @t580 () (not @t95)) % 0.36/0.70 (define @t581 () (or @t580 @t94)) % 0.36/0.70 (define @t582 () (not @t103)) % 0.36/0.70 (define @t583 () (not @t94)) % 0.36/0.70 (define @t584 () (or @t583 @t582)) % 0.36/0.70 (define @t585 () (forall @t68 (not @t104))) % 0.36/0.70 (define @t586 () (not @t585)) % 0.36/0.70 (define @t587 () (forall @t9 @t562)) % 0.36/0.70 (define @t588 () (not @t587)) % 0.36/0.70 (define @t589 () (or @t562 @t7)) % 0.36/0.70 (define @t590 () (or @t314 @t313)) % 0.36/0.70 (define @t591 () (or @t317 @t316)) % 0.36/0.70 (define @t592 () (or @t319 @t303 @t591 @t590)) % 0.36/0.70 (define @t593 () (forall @t321 @t592)) % 0.36/0.70 (define @t594 () (forall (@list @t315 @t312) @t592)) % 0.36/0.70 (define @t595 () (forall (@list @t312) @t590)) % 0.36/0.70 (define @t596 () (forall (@list @t315) @t591)) % 0.36/0.70 (define @t597 () (or @t319 @t303 @t596 @t595)) % 0.36/0.70 (define @t598 () (tptp.in @t4 @t93)) % 0.36/0.70 (define @t599 () (forall @t9 (or (not @t598) @t300))) % 0.36/0.70 (define @t600 () (forall @t9 (or @t301 @t598))) % 0.36/0.70 (define @t601 () (not @t122)) % 0.36/0.70 (define @t602 () (or @t601 @t563 @t600 @t599)) % 0.36/0.70 (define @t603 () (or @t600 @t599)) % 0.36/0.70 (define @t604 () (not @t118)) % 0.36/0.70 (define @t605 () (or @t604 @t107)) % 0.36/0.70 (define @t606 () (or @t562 @t118)) % 0.36/0.70 (define @t607 () (not @t21)) % 0.36/0.70 (define @t608 () (or @t192 @t607 @t325 @t127)) % 0.36/0.70 (define @t609 () (=> @t324 @t127)) % 0.36/0.70 (define @t610 () (or @t601 @t128)) % 0.36/0.70 (define @t611 () (or @t332 @t331)) % 0.36/0.70 (define @t612 () (or @t319 @t611)) % 0.36/0.70 (define @t613 () (forall @t334 @t612)) % 0.36/0.70 (define @t614 () (@list @t330)) % 0.36/0.70 (define @t615 () (forall @t614 @t612)) % 0.36/0.70 (define @t616 () (forall @t614 @t611)) % 0.36/0.70 (define @t617 () (or @t319 @t616)) % 0.36/0.70 (define @t618 () (or @t601 @t307)) % 0.36/0.70 (define @t619 () (=> tptp.wellorderingAx @t550)) % 0.36/0.70 (define @t620 () (@list @t344)) % 0.36/0.70 (define @t621 () (forall @t620 @t346)) % 0.36/0.70 (define @t622 () (forall @t620 @t345)) % 0.36/0.70 (define @t623 () (or @t622 @t343)) % 0.36/0.70 (define @t624 () (not @t255)) % 0.36/0.70 (define @t625 () (not @t37)) % 0.36/0.70 (define @t626 () (or @t625 @t340)) % 0.36/0.70 (define @t627 () (and @t37 @t339)) % 0.36/0.70 (define @t628 () (forall @t39 (not @t627))) % 0.36/0.70 (define @t629 () (not @t628)) % 0.36/0.70 (define @t630 () (or @t443 @t192)) % 0.36/0.70 (define @t631 () (forall @t9 (not @t82))) % 0.36/0.70 (define @t632 () (not @t631)) % 0.36/0.70 (define @t633 () (=> tptp.foundationAx @t619)) % 0.36/0.70 (define @t634 () (= @t6 @t349)) % 0.36/0.70 (define @t635 () (not @t66)) % 0.36/0.70 (define @t636 () (or @t607 @t635)) % 0.36/0.70 (define @t637 () (forall @t68 (not @t67))) % 0.36/0.70 (define @t638 () (not @t637)) % 0.36/0.70 (define @t639 () (or @t192 @t358)) % 0.36/0.70 (define @t640 () (_ @t73 @t352)) % 0.36/0.70 (define @t641 () (not @t640)) % 0.36/0.70 (define @t642 () (or @t641 @t355)) % 0.36/0.70 (define @t643 () (not @t74)) % 0.36/0.70 (define @t644 () (or @t643 @t353)) % 0.36/0.70 (define @t645 () (_ @t75 @t19)) % 0.36/0.70 (define @t646 () (not @t645)) % 0.36/0.70 (define @t647 () (or @t646 @t353)) % 0.36/0.70 (define @t648 () (forall @t68 @t647)) % 0.36/0.70 (define @t649 () (not @t648)) % 0.36/0.70 (define @t650 () (_ @t75 @t352)) % 0.36/0.70 (define @t651 () (not @t650)) % 0.36/0.70 (define @t652 () (or @t651 @t649)) % 0.36/0.70 (define @t653 () (forall @t357 @t652)) % 0.36/0.70 (define @t654 () (not @t653)) % 0.36/0.70 (define @t655 () (not (_ @t141 @t352))) % 0.36/0.70 (define @t656 () (or @t267 (= @t352 @t19))) % 0.36/0.70 (define @t657 () (forall @t68 @t656)) % 0.36/0.70 (define @t658 () (not @t657)) % 0.36/0.70 (define @t659 () (or @t655 @t658)) % 0.36/0.70 (define @t660 () (forall @t357 @t659)) % 0.36/0.70 (define @t661 () (not @t660)) % 0.36/0.70 (define @t662 () (=> @t7 (_ @t479 @t75))) % 0.36/0.70 (define @t663 () (forall @t9 @t662)) % 0.36/0.70 (define @t664 () (=> @t663 @t72)) % 0.36/0.70 (define @t665 () (forall @t79 @t664)) % 0.36/0.70 (define @t666 () (=> tptp.replAx @t633)) % 0.36/0.70 (define @t667 () (or @t363 @t362)) % 0.36/0.70 (define @t668 () (or @t371 @t369 @t667)) % 0.36/0.70 (define @t669 () (forall @t373 @t668)) % 0.36/0.70 (define @t670 () (@list @t361)) % 0.36/0.70 (define @t671 () (forall @t670 @t668)) % 0.36/0.70 (define @t672 () (forall @t670 @t667)) % 0.36/0.70 (define @t673 () (or @t371 @t369 @t672)) % 0.36/0.70 (define @t674 () (forall @t9 (or @t367 @t252))) % 0.36/0.70 (define @t675 () (not @t59)) % 0.36/0.70 (define @t676 () (or @t675 @t369 @t674)) % 0.36/0.70 (define @t677 () (and @t59 @t368)) % 0.36/0.70 (define @t678 () (not @t52)) % 0.36/0.70 (define @t679 () (or @t678 @t7)) % 0.36/0.70 (define @t680 () (_ tptp.in @t364)) % 0.36/0.70 (define @t681 () (or @t678 @t192 @t56)) % 0.36/0.70 (define @t682 () (=> tptp.omegaIndAx @t666)) % 0.36/0.70 (define @t683 () (or @t678 @t51)) % 0.36/0.70 (define @t684 () (=> tptp.omegaSAx @t682)) % 0.36/0.70 (define @t685 () (=> tptp.omega0Ax @t684)) % 0.36/0.70 (define @t686 () (= @t42 @t382)) % 0.36/0.70 (define @t687 () (or @t443 @t625)) % 0.36/0.70 (define @t688 () (forall @t39 (not @t38))) % 0.36/0.70 (define @t689 () (not @t688)) % 0.36/0.70 (define @t690 () (=> tptp.setunionAx @t685)) % 0.36/0.70 (define @t691 () (= @t33 @t260)) % 0.36/0.70 (define @t692 () (=> tptp.powersetAx @t690)) % 0.36/0.70 (define @t693 () (or @t127 @t21)) % 0.36/0.70 (define @t694 () (= @t25 @t693)) % 0.36/0.70 (define @t695 () (=> tptp.setadjoinAx @t692)) % 0.36/0.70 (define @t696 () (=> tptp.emptysetAx @t695)) % 0.36/0.70 (define @t697 () (=> tptp.setextAx @t696)) % 0.36/0.70 (define @t698 () (not (= tptp.emptyset tptp.emptyset))) % 0.36/0.70 (define @t699 () (or @t246 @t698)) % 0.36/0.70 (define @t700 () (not (tptp.in @t245 @t2))) % 0.36/0.70 (define @t701 () (or @t428 @t700 @t428)) % 0.36/0.70 (define @t702 () (or @t700 @t428)) % 0.36/0.70 (define @t703 () (forall @t62 @t702)) % 0.36/0.70 (define @t704 () (forall @t247 @t703)) % 0.36/0.70 (define @t705 () (forall (@list @t245 @t2) @t702)) % 0.36/0.70 (define @t706 () (forall (@list @t2 @t245) @t702)) % 0.36/0.70 (define @t707 () (forall @t247 @t702)) % 0.36/0.70 (define @t708 () (forall @t247 @t700)) % 0.36/0.70 (define @t709 () (@list @t245)) % 0.36/0.70 (define @t710 () (or @t708 @t428)) % 0.36/0.70 (define @t711 () (=> @t87 @t430)) % 0.36/0.70 (define @t712 () (forall @t62 @t711)) % 0.36/0.70 (define @t713 () (=> tptp.nonemptyI @t712)) % 0.36/0.70 (define @t714 () (=> tptp.nonemptyE1 @t713)) % 0.36/0.70 (define @t715 () (=> tptp.setbeta @t714)) % 0.36/0.70 (define @t716 () (=> tptp.noeltsimpempty @t715)) % 0.36/0.70 (define @t717 () (=> tptp.emptyI @t716)) % 0.36/0.70 (define @t718 () (=> tptp.setext @t717)) % 0.36/0.70 (define @t719 () (=> tptp.exuE3e @t718)) % 0.36/0.70 (define @t720 () (=> tptp.notinemptyset @t719)) % 0.36/0.70 (define @t721 () (=> tptp.emptysetimpfalse @t720)) % 0.36/0.70 (define @t722 () (=> tptp.emptysetE @t721)) % 0.36/0.70 (define @t723 () (=> tptp.prop2setE @t722)) % 0.36/0.70 (define @t724 () (=> tptp.exuE1 @t723)) % 0.36/0.70 (define @t725 () (=> tptp.dsetconstrER @t724)) % 0.36/0.70 (define @t726 () (=> tptp.dsetconstrEL @t725)) % 0.36/0.70 (define @t727 () (=> tptp.dsetconstrI @t726)) % 0.36/0.70 (define @t728 () (=> tptp.descrp @t727)) % 0.36/0.70 (define @t729 () (=> tptp.wellorderingAx @t728)) % 0.36/0.70 (define @t730 () (=> tptp.foundationAx @t729)) % 0.36/0.70 (define @t731 () (=> tptp.replAx @t730)) % 0.36/0.70 (define @t732 () (=> tptp.omegaIndAx @t731)) % 0.36/0.70 (define @t733 () (=> tptp.omegaSAx @t732)) % 0.36/0.70 (define @t734 () (=> tptp.omega0Ax @t733)) % 0.36/0.70 (define @t735 () (=> tptp.setunionAx @t734)) % 0.36/0.70 (define @t736 () (=> tptp.powersetAx @t735)) % 0.36/0.70 (define @t737 () (=> tptp.setadjoinAx @t736)) % 0.36/0.70 (define @t738 () (=> tptp.emptysetAx @t737)) % 0.36/0.70 (define @t739 () (=> tptp.setextAx @t738)) % 0.36/0.70 (define @t740 () (@list false)) % 0.36/0.70 (assume @p1 @t14) % 0.36/0.70 (assume @p2 @t18) % 0.36/0.70 (assume @p3 @t29) % 0.36/0.70 (assume @p4 @t36) % 0.36/0.70 (assume @p5 @t46) % 0.36/0.70 (assume @p6 (= tptp.omega0Ax @t48)) % 0.36/0.70 (assume @p7 @t54) % 0.36/0.70 (assume @p8 @t64) % 0.36/0.70 (assume @p9 @t81) % 0.36/0.70 (assume @p10 @t90) % 0.36/0.70 (assume @p11 @t140) % 0.36/0.70 (assume @p12 @t150) % 0.36/0.70 (assume @p13 @t159) % 0.36/0.70 (assume @p14 @t161) % 0.36/0.70 (assume @p15 @t163) % 0.36/0.70 (assume @p16 @t169) % 0.36/0.70 (assume @p17 @t174) % 0.36/0.70 (assume @p18 @t179) % 0.36/0.70 (assume @p19 @t181) % 0.36/0.70 (assume @p20 (= tptp.notinemptyset @t17)) % 0.36/0.70 (assume @p21 @t185) % 0.36/0.70 (assume @p22 @t190) % 0.36/0.70 (assume @p23 @t196) % 0.36/0.70 (assume @p24 (= tptp.noeltsimpempty @t195)) % 0.36/0.70 (assume @p25 @t199) % 0.36/0.70 (assume @p26 @t203) % 0.36/0.70 (assume @p27 @t207) % 0.36/0.70 (assume @p28 @t237) % 0.36/0.70 (assume @p29 true) % 0.36/0.70 (step @p30 (= tptp.exu @t238) :rule refl :args (@t238)) % 0.36/0.70 (step @p31 (= tptp.prop2set @t243) :rule refl :args (@t243)) % 0.36/0.70 (step @p32 (= tptp.nonempty @t244) :rule refl :args (@t244)) % 0.36/0.70 (step @p33 :rule refl :args (@t377)) % 0.36/0.70 (step @p34 :rule refl :args (@t378)) % 0.36/0.70 (step @p35 :rule refl :args (@t48)) % 0.36/0.70 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t48 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:args ((forall @t62 (=> @t255 @t428)))) % 0.36/0.70 (step @p1289 :rule trans :premises (@p1288 @p1284)) % 0.36/0.70 (step @p1290 :rule cong :premises (@p165 @p166) :args (@t711)) % 0.36/0.70 (step @p1291 :rule cong :premises (@p1290) :args (@t712)) % 0.36/0.70 (step @p1292 :rule trans :premises (@p1291 @p1289)) % 0.36/0.70 (step @p1293 :rule cong :premises (@p145 @p1292) :args (@t713)) % 0.36/0.70 (step @p1294 :rule cong :premises (@p170 @p1293) :args (@t714)) % 0.36/0.70 (step @p1295 :rule cong :premises (@p209 @p1294) :args (@t715)) % 0.36/0.70 (step @p1296 :rule cong :premises (@p214 @p1295) :args (@t716)) % 0.36/0.70 (step @p1297 :rule cong :premises (@p227 @p1296) :args (@t717)) % 0.36/0.70 (step @p1298 :rule cong :premises (@p260 @p1297) :args (@t718)) % 0.36/0.70 (step @p1299 :rule cong :premises (@p320 @p1298) :args (@t719)) % 0.36/0.70 (step @p1300 :rule cong :premises (@p346 @p1299) :args (@t720)) % 0.36/0.70 (step @p1301 :rule cong :premises (@p363 @p1300) :args (@t721)) % 0.36/0.70 (step @p1302 :rule cong :premises (@p385 @p1301) :args (@t722)) % 0.36/0.70 (step @p1303 :rule cong :premises (@p463 @p1302) :args (@t723)) % 0.36/0.70 (step @p1304 :rule cong :premises (@p487 @p1303) :args (@t724)) % 0.36/0.70 (step @p1305 :rule cong :premises (@p508 @p1304) :args (@t725)) % 0.36/0.70 (step @p1306 :rule cong :premises (@p521 @p1305) :args (@t726)) % 0.36/0.70 (step @p1307 :rule cong :premises (@p538 @p1306) :args (@t727)) % 0.36/0.70 (step @p1308 :rule cong :premises (@p606 @p1307) :args (@t728)) % 0.36/0.70 (step @p1309 :rule cong :premises (@p883 @p1308) :args (@t729)) % 0.36/0.70 (step @p1310 :rule cong :premises (@p935 @p1309) :args (@t730)) % 0.36/0.70 (step @p1311 :rule cong :premises (@p1028 @p1310) :args (@t731)) % 0.36/0.70 (step @p1312 :rule cong :premises (@p1115 @p1311) :args (@t732)) % 0.36/0.70 (step @p1313 :rule cong :premises (@p1135 @p1312) :args (@t733)) % 0.36/0.70 (step @p1314 :rule refl :args (tptp.omega0Ax)) % 0.36/0.70 (step @p1315 :rule cong :premises (@p1314 @p1313) :args (@t734)) % 0.36/0.70 (step @p1316 :rule cong :premises (@p1173 @p1315) :args (@t735)) % 0.36/0.70 (step @p1317 :rule cong :premises (@p1204 @p1316) :args (@t736)) % 0.36/0.70 (step @p1318 :rule cong :premises (@p1235 @p1317) :args (@t737)) % 0.36/0.70 (step @p1319 :rule cong :premises (@p1239 @p1318) :args (@t738)) % 0.36/0.70 (step @p1320 :rule cong :premises (@p1250 @p1319) :args (@t739)) % 0.36/0.70 (step @p1321 :rule cong :premises (@p1320) :args ((not @t739))) % 0.36/0.70 (step @p1322 :rule cong :premises (@p172 @p173) :args (@t208)) % 0.36/0.70 (step @p1323 :rule cong :premises (@p1322) :args (@t209)) % 0.36/0.70 (step @p1324 :rule cong :premises (@p145 @p1323) :args (@t210)) % 0.36/0.70 (step @p1325 :rule cong :premises (@p170 @p1324) :args (@t211)) % 0.36/0.70 (step @p1326 :rule cong :premises (@p209 @p1325) :args (@t212)) % 0.36/0.70 (step @p1327 :rule cong :premises (@p214 @p1326) :args (@t213)) % 0.36/0.70 (step @p1328 :rule cong :premises (@p227 @p1327) :args (@t214)) % 0.36/0.70 (step @p1329 :rule cong :premises (@p260 @p1328) :args (@t215)) % 0.36/0.70 (step @p1330 :rule cong :premises (@p320 @p1329) :args (@t216)) % 0.36/0.70 (step @p1331 :rule cong :premises (@p346 @p1330) :args (@t217)) % 0.36/0.70 (step @p1332 :rule cong :premises (@p363 @p1331) :args (@t218)) % 0.36/0.70 (step @p1333 :rule cong :premises (@p385 @p1332) :args (@t219)) % 0.36/0.70 (step @p1334 :rule cong :premises (@p463 @p1333) :args (@t220)) % 0.36/0.70 (step @p1335 :rule cong :premises (@p487 @p1334) :args (@t221)) % 0.36/0.70 (step @p1336 :rule cong :premises (@p508 @p1335) :args (@t222)) % 0.36/0.70 (step @p1337 :rule cong :premises (@p521 @p1336) :args (@t223)) % 0.36/0.70 (step @p1338 :rule cong :premises (@p538 @p1337) :args (@t224)) % 0.36/0.70 (step @p1339 :rule cong :premises (@p606 @p1338) :args (@t225)) % 0.36/0.70 (step @p1340 :rule cong :premises (@p883 @p1339) :args (@t226)) % 0.36/0.70 (step @p1341 :rule cong :premises (@p935 @p1340) :args (@t227)) % 0.36/0.70 (step @p1342 :rule cong :premises (@p1028 @p1341) :args (@t228)) % 0.36/0.70 (step @p1343 :rule cong :premises (@p1115 @p1342) :args (@t229)) % 0.36/0.70 (step @p1344 :rule cong :premises (@p1135 @p1343) :args (@t230)) % 0.36/0.70 (step @p1345 :rule cong :premises (@p1314 @p1344) :args (@t231)) % 0.36/0.70 (step @p1346 :rule cong :premises (@p1173 @p1345) :args (@t232)) % 0.36/0.70 (step @p1347 :rule cong :premises (@p1204 @p1346) :args (@t233)) % 0.36/0.70 (step @p1348 :rule cong :premises (@p1235 @p1347) :args (@t234)) % 0.36/0.70 (step @p1349 :rule cong :premises (@p1239 @p1348) :args (@t235)) % 0.36/0.70 (step @p1350 :rule cong :premises (@p1250 @p1349) :args (@t236)) % 0.36/0.70 (step @p1351 :rule cong :premises (@p1350) :args (@t237)) % 0.36/0.70 (step @p1352 :rule trans :premises (@p1351 @p1321)) % 0.36/0.70 (step @p1353 :rule trans :premises (@p1352 @p1255 @p50)) % 0.36/0.70 (step @p1354 :rule eq_resolve :premises (@p28 @p1353)) % 0.36/0.70 (step @p1355 :rule not_implies_elim2 :premises (@p1354)) % 0.36/0.70 (step @p1356 :rule not_implies_elim1 :premises (@p1355)) % 0.36/0.70 (step @p1357 :rule alpha_equiv :args (@t272 @t457 @t709)) % 0.36/0.70 (step @p1358 :rule equiv_elim1 :premises (@p1357)) % 0.36/0.70 (step @p1359 :rule reordering :premises (@p1358) :args ((or @t248 (not @t272)))) % 0.36/0.70 (step @p1360 :rule chain_m_resolution :premises (@p1359 @p1356) :args (@t248 @t740 (@list @t272))) % 0.36/0.70 (step @p1361 :rule not_implies_elim2 :premises (@p1355)) % 0.36/0.70 (step @p1362 :rule not_implies_elim2 :premises (@p1361)) % 0.36/0.70 (step @p1363 :rule not_implies_elim2 :premises (@p1362)) % 0.36/0.70 (step @p1364 :rule not_implies_elim2 :premises (@p1363)) % 0.36/0.70 (step @p1365 :rule not_implies_elim2 :premises (@p1364)) % 0.36/0.70 (step @p1366 :rule not_implies_elim2 :premises (@p1365)) % 0.36/0.70 (step @p1367 :rule not_implies_elim2 :premises (@p1366)) % 0.36/0.70 (step @p1368 :rule not_implies_elim2 :premises (@p1367)) % 0.36/0.70 (step @p1369 :rule not_implies_elim2 :premises (@p1368)) % 0.36/0.70 (step @p1370 :rule not_implies_elim2 :premises (@p1369)) % 0.36/0.70 (step @p1371 :rule not_implies_elim2 :premises (@p1370)) % 0.36/0.70 (step @p1372 :rule not_implies_elim2 :premises (@p1371)) % 0.36/0.70 (step @p1373 :rule not_implies_elim2 :premises (@p1372)) % 0.36/0.70 (step @p1374 :rule not_implies_elim2 :premises (@p1373)) % 0.36/0.70 (step @p1375 :rule not_implies_elim2 :premises (@p1374)) % 0.36/0.70 (step @p1376 :rule not_implies_elim2 :premises (@p1375)) % 0.36/0.70 (step @p1377 :rule not_implies_elim2 :premises (@p1376)) % 0.36/0.70 (step @p1378 :rule not_implies_elim2 :premises (@p1377)) % 0.36/0.70 (step @p1379 :rule not_implies_elim2 :premises (@p1378)) % 0.36/0.70 (step @p1380 :rule not_implies_elim2 :premises (@p1379)) % 0.36/0.70 (step @p1381 :rule not_implies_elim2 :premises (@p1380)) % 0.36/0.70 (step @p1382 :rule not_implies_elim2 :premises (@p1381)) % 0.36/0.70 (step @p1383 :rule not_implies_elim2 :premises (@p1382)) % 0.36/0.70 (step @p1384 :rule not_implies_elim2 :premises (@p1383)) % 0.36/0.70 (step @p1385 :rule not_implies_elim2 :premises (@p1384)) % 0.36/0.70 (step @p1386 false :rule chain_m_resolution :premises (@p1385 @p1360) :args (false @t740 (@list @t248))) % 0.36/0.70 ) % 0.36/0.70 % SZS output end Proof % 0.36/0.70 % cvc5 exiting %------------------------------------------------------------------------------