%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU509^1 : 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 : n029.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 08:51:59 AM UTC 2026 % Result : Theorem 0.36s 0.70s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU509^1 : 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 : n029.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 17:40:02 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.36/0.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.70 % SZS status Theorem % 0.36/0.70 % SZS output start Proof % 0.36/0.70 ( % 0.36/0.70 (declare-sort $$unsorted 0) % 0.36/0.70 (declare-const tptp.emptyset $$unsorted) % 0.36/0.70 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.36/0.70 (declare-const tptp.noeltsimpempty Bool) % 0.36/0.70 (declare-const tptp.emptyI Bool) % 0.36/0.70 (declare-const tptp.omegaIndAx Bool) % 0.36/0.70 (declare-const tptp.omega0Ax Bool) % 0.36/0.70 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.powersetAx Bool) % 0.36/0.70 (declare-const tptp.omegaSAx Bool) % 0.36/0.70 (declare-const tptp.setext Bool) % 0.36/0.70 (declare-const tptp.setadjoinAx Bool) % 0.36/0.70 (declare-const tptp.setbeta Bool) % 0.36/0.70 (declare-const tptp.dsetconstrER Bool) % 0.36/0.70 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.notinemptyset Bool) % 0.36/0.70 (declare-const tptp.foundationAx Bool) % 0.36/0.70 (declare-const tptp.setextAx Bool) % 0.36/0.70 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.emptysetAx Bool) % 0.36/0.70 (declare-const tptp.dsetconstrEL Bool) % 0.36/0.70 (declare-const tptp.replAx Bool) % 0.36/0.70 (declare-const tptp.emptysetimpfalse Bool) % 0.36/0.70 (declare-const tptp.wellorderingAx Bool) % 0.36/0.70 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.36/0.70 (declare-const tptp.exuE1 Bool) % 0.36/0.70 (declare-const tptp.descrp Bool) % 0.36/0.70 (declare-const tptp.dsetconstrI Bool) % 0.36/0.70 (declare-const tptp.omega $$unsorted) % 0.36/0.70 (declare-const tptp.exuE3e Bool) % 0.36/0.70 (declare-const tptp.prop2setE Bool) % 0.36/0.70 (declare-const tptp.setunionAx Bool) % 0.36/0.70 (declare-const tptp.emptysetE Bool) % 0.36/0.70 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.36/0.70 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.36/0.70 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.36/0.70 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.70 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.70 (define @t3 () (= @t2 @t1)) % 0.36/0.70 (define @t4 () (@var "Xx" $$unsorted)) % 0.36/0.70 (define @t5 () (_ tptp.in @t4)) % 0.36/0.70 (define @t6 () (_ @t5 @t1)) % 0.36/0.70 (define @t7 () (_ @t5 @t2)) % 0.36/0.70 (define @t8 () (= @t7 @t6)) % 0.36/0.70 (define @t9 () (@list @t4)) % 0.36/0.70 (define @t10 () (forall @t9 @t8)) % 0.36/0.70 (define @t11 () (=> @t10 @t3)) % 0.36/0.70 (define @t12 () (@list @t2 @t1)) % 0.36/0.70 (define @t13 () (forall @t12 @t11)) % 0.36/0.70 (define @t14 () (= tptp.setextAx @t13)) % 0.36/0.70 (define @t15 () (_ @t5 tptp.emptyset)) % 0.36/0.70 (define @t16 () (not @t15)) % 0.36/0.70 (define @t17 () (forall @t9 @t16)) % 0.36/0.70 (define @t18 () (= tptp.emptysetAx @t17)) % 0.36/0.70 (define @t19 () (@var "Xy" $$unsorted)) % 0.36/0.70 (define @t20 () (_ tptp.in @t19)) % 0.36/0.70 (define @t21 () (_ @t20 @t2)) % 0.36/0.70 (define @t22 () (or (= @t19 @t4) @t21)) % 0.36/0.70 (define @t23 () (_ tptp.setadjoin @t4)) % 0.36/0.70 (define @t24 () (_ @t23 @t2)) % 0.36/0.70 (define @t25 () (_ @t20 @t24)) % 0.36/0.70 (define @t26 () (= @t25 @t22)) % 0.36/0.70 (define @t27 () (@list @t4 @t2 @t19)) % 0.36/0.70 (define @t28 () (forall @t27 @t26)) % 0.36/0.70 (define @t29 () (= tptp.setadjoinAx @t28)) % 0.36/0.70 (define @t30 () (forall @t9 (=> @t6 @t7))) % 0.36/0.70 (define @t31 () (_ tptp.powerset @t2)) % 0.36/0.70 (define @t32 () (_ tptp.in @t1)) % 0.36/0.70 (define @t33 () (_ @t32 @t31)) % 0.36/0.70 (define @t34 () (= @t33 @t30)) % 0.36/0.70 (define @t35 () (forall @t12 @t34)) % 0.36/0.70 (define @t36 () (= tptp.powersetAx @t35)) % 0.36/0.70 (define @t37 () (_ @t32 @t2)) % 0.36/0.70 (define @t38 () (and @t6 @t37)) % 0.36/0.70 (define @t39 () (@list @t1)) % 0.36/0.70 (define @t40 () (exists @t39 @t38)) % 0.36/0.70 (define @t41 () (_ tptp.setunion @t2)) % 0.36/0.70 (define @t42 () (_ @t5 @t41)) % 0.36/0.70 (define @t43 () (= @t42 @t40)) % 0.36/0.70 (define @t44 () (@list @t2 @t4)) % 0.36/0.70 (define @t45 () (forall @t44 @t43)) % 0.36/0.70 (define @t46 () (= tptp.setunionAx @t45)) % 0.36/0.70 (define @t47 () (_ tptp.in tptp.emptyset)) % 0.36/0.70 (define @t48 () (_ @t47 tptp.omega)) % 0.36/0.70 (define @t49 () (_ @t23 @t4)) % 0.36/0.70 (define @t50 () (_ tptp.in @t49)) % 0.36/0.70 (define @t51 () (_ @t50 tptp.omega)) % 0.36/0.70 (define @t52 () (_ @t5 tptp.omega)) % 0.36/0.70 (define @t53 () (forall @t9 (=> @t52 @t51))) % 0.36/0.70 (define @t54 () (= tptp.omegaSAx @t53)) % 0.36/0.70 (define @t55 () (forall @t9 (=> @t52 @t7))) % 0.36/0.70 (define @t56 () (_ @t50 @t2)) % 0.36/0.70 (define @t57 () (and @t52 @t7)) % 0.36/0.70 (define @t58 () (forall @t9 (=> @t57 @t56))) % 0.36/0.70 (define @t59 () (_ @t47 @t2)) % 0.36/0.70 (define @t60 () (and @t59 @t58)) % 0.36/0.70 (define @t61 () (=> @t60 @t55)) % 0.36/0.70 (define @t62 () (@list @t2)) % 0.36/0.70 (define @t63 () (forall @t62 @t61)) % 0.36/0.70 (define @t64 () (= tptp.omegaIndAx @t63)) % 0.36/0.70 (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.36/0.70 (define @t66 () (_ (_ @t65 @t19) @t4)) % 0.36/0.70 (define @t67 () (and @t21 @t66)) % 0.36/0.70 (define @t68 () (@list @t19)) % 0.36/0.70 (define @t69 () (exists @t68 @t67)) % 0.36/0.70 (define @t70 () (= @t6 @t69)) % 0.36/0.70 (define @t71 () (forall @t9 @t70)) % 0.36/0.70 (define @t72 () (exists @t39 @t71)) % 0.36/0.70 (define @t73 () (_ @t65 @t4)) % 0.36/0.70 (define @t74 () (_ @t73 @t19)) % 0.36/0.70 (define @t75 () (lambda @t68 @t74)) % 0.36/0.70 (define @t76 () (=> @t7 (_ tptp.exu @t75))) % 0.36/0.70 (define @t77 () (forall @t9 @t76)) % 0.36/0.70 (define @t78 () (=> @t77 @t72)) % 0.36/0.70 (define @t79 () (@list @t65 @t2)) % 0.36/0.70 (define @t80 () (forall @t79 @t78)) % 0.36/0.70 (define @t81 () (= tptp.replAx @t80)) % 0.36/0.70 (define @t82 () (and @t6 @t7)) % 0.36/0.70 (define @t83 () (exists @t9 @t82)) % 0.36/0.70 (define @t84 () (not @t83)) % 0.36/0.70 (define @t85 () (and @t37 @t84)) % 0.36/0.70 (define @t86 () (exists @t39 @t85)) % 0.36/0.70 (define @t87 () (exists @t9 @t7)) % 0.36/0.70 (define @t88 () (=> @t87 @t86)) % 0.36/0.70 (define @t89 () (forall @t62 @t88)) % 0.36/0.70 (define @t90 () (= tptp.foundationAx @t89)) % 0.36/0.70 (define @t91 () (@var "E" $$unsorted)) % 0.36/0.70 (define @t92 () (_ @t5 @t91)) % 0.36/0.70 (define @t93 () (@var "D" $$unsorted)) % 0.36/0.70 (define @t94 () (_ @t20 @t93)) % 0.36/0.70 (define @t95 () (_ @t20 @t91)) % 0.36/0.70 (define @t96 () (forall @t68 (=> @t95 @t94))) % 0.36/0.70 (define @t97 () (or @t96 @t92)) % 0.36/0.70 (define @t98 () (_ (_ tptp.in @t91) @t1)) % 0.36/0.70 (define @t99 () (=> @t98 @t97)) % 0.36/0.70 (define @t100 () (@list @t91)) % 0.36/0.70 (define @t101 () (forall @t100 @t99)) % 0.36/0.70 (define @t102 () (@var "C" $$unsorted)) % 0.36/0.70 (define @t103 () (_ @t20 @t102)) % 0.36/0.70 (define @t104 () (and @t94 @t103)) % 0.36/0.70 (define @t105 () (exists @t68 @t104)) % 0.36/0.70 (define @t106 () (not @t105)) % 0.36/0.70 (define @t107 () (_ @t5 @t102)) % 0.36/0.70 (define @t108 () (_ (_ tptp.in @t93) @t1)) % 0.36/0.70 (define @t109 () (and @t108 @t107 @t106 @t101)) % 0.36/0.70 (define @t110 () (@list @t93 @t4)) % 0.36/0.70 (define @t111 () (exists @t110 @t109)) % 0.36/0.70 (define @t112 () (exists @t9 @t107)) % 0.36/0.70 (define @t113 () (forall @t9 (=> @t107 @t7))) % 0.36/0.70 (define @t114 () (and @t113 @t112)) % 0.36/0.70 (define @t115 () (=> @t114 @t111)) % 0.36/0.70 (define @t116 () (@list @t102)) % 0.36/0.70 (define @t117 () (forall @t116 @t115)) % 0.36/0.70 (define @t118 () (_ @t5 @t93)) % 0.36/0.70 (define @t119 () (forall @t9 (=> @t118 @t107))) % 0.36/0.70 (define @t120 () (forall @t9 (=> @t107 @t118))) % 0.36/0.70 (define @t121 () (or @t120 @t119)) % 0.36/0.70 (define @t122 () (_ (_ tptp.in @t102) @t1)) % 0.36/0.70 (define @t123 () (and @t122 @t108)) % 0.36/0.70 (define @t124 () (=> @t123 @t121)) % 0.36/0.70 (define @t125 () (@list @t102 @t93)) % 0.36/0.70 (define @t126 () (forall @t125 @t124)) % 0.36/0.70 (define @t127 () (= @t4 @t19)) % 0.36/0.70 (define @t128 () (= @t107 @t103)) % 0.36/0.70 (define @t129 () (forall @t116 (=> @t122 @t128))) % 0.36/0.70 (define @t130 () (=> @t129 @t127)) % 0.36/0.70 (define @t131 () (and @t7 @t21)) % 0.36/0.70 (define @t132 () (=> @t131 @t130)) % 0.36/0.70 (define @t133 () (@list @t4 @t19)) % 0.36/0.70 (define @t134 () (forall @t133 @t132)) % 0.36/0.70 (define @t135 () (=> @t122 @t113)) % 0.36/0.70 (define @t136 () (forall @t116 @t135)) % 0.36/0.70 (define @t137 () (and @t136 @t134 @t126 @t117)) % 0.36/0.70 (define @t138 () (exists @t39 @t137)) % 0.36/0.70 (define @t139 () (forall @t62 @t138)) % 0.36/0.70 (define @t140 () (= tptp.wellorderingAx @t139)) % 0.36/0.70 (define @t141 () (@var "Xphi" (-> $$unsorted Bool))) % 0.36/0.70 (define @t142 () (_ @t141 @t4)) % 0.36/0.70 (define @t143 () (lambda @t9 @t142)) % 0.36/0.70 (define @t144 () (_ tptp.descr @t143)) % 0.36/0.70 (define @t145 () (_ @t141 @t144)) % 0.36/0.70 (define @t146 () (_ tptp.exu @t143)) % 0.36/0.70 (define @t147 () (=> @t146 @t145)) % 0.36/0.70 (define @t148 () (@list @t141)) % 0.36/0.70 (define @t149 () (forall @t148 @t147)) % 0.36/0.70 (define @t150 () (= tptp.descrp @t149)) % 0.36/0.70 (define @t151 () (_ @t141 @t19)) % 0.36/0.70 (define @t152 () (lambda @t68 @t151)) % 0.36/0.70 (define @t153 () (_ tptp.dsetconstr @t2)) % 0.36/0.70 (define @t154 () (_ @t153 @t152)) % 0.36/0.70 (define @t155 () (_ @t5 @t154)) % 0.36/0.70 (define @t156 () (=> @t142 @t155)) % 0.36/0.70 (define @t157 () (@list @t2 @t141 @t4)) % 0.36/0.70 (define @t158 () (forall @t157 (=> @t7 @t156))) % 0.36/0.70 (define @t159 () (= tptp.dsetconstrI @t158)) % 0.36/0.70 (define @t160 () (forall @t157 (=> @t155 @t7))) % 0.36/0.70 (define @t161 () (= tptp.dsetconstrEL @t160)) % 0.36/0.70 (define @t162 () (forall @t157 (=> @t155 @t142))) % 0.36/0.70 (define @t163 () (= tptp.dsetconstrER @t162)) % 0.36/0.70 (define @t164 () (forall @t68 (=> @t151 @t127))) % 0.36/0.70 (define @t165 () (and @t142 @t164)) % 0.36/0.70 (define @t166 () (exists @t9 @t165)) % 0.36/0.70 (define @t167 () (=> @t146 @t166)) % 0.36/0.70 (define @t168 () (forall @t148 @t167)) % 0.36/0.70 (define @t169 () (= tptp.exuE1 @t168)) % 0.36/0.70 (define @t170 () (@var "Xphi" Bool)) % 0.36/0.70 (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170)) % 0.36/0.70 (define @t172 () (@list @t170 @t4)) % 0.36/0.70 (define @t173 () (forall @t172 @t171)) % 0.36/0.70 (define @t174 () (= tptp.prop2setE @t173)) % 0.36/0.70 (define @t175 () (@list @t170)) % 0.36/0.70 (define @t176 () (forall @t175 @t170)) % 0.36/0.70 (define @t177 () (=> @t15 @t176)) % 0.36/0.70 (define @t178 () (forall @t9 @t177)) % 0.36/0.70 (define @t179 () (= tptp.emptysetE @t178)) % 0.36/0.70 (define @t180 () (forall @t9 (=> @t15 false))) % 0.36/0.70 (define @t181 () (= tptp.emptysetimpfalse @t180)) % 0.36/0.70 (define @t182 () (exists @t9 @t142)) % 0.36/0.70 (define @t183 () (=> @t146 @t182)) % 0.36/0.70 (define @t184 () (forall @t148 @t183)) % 0.36/0.70 (define @t185 () (= tptp.exuE3e @t184)) % 0.36/0.70 (define @t186 () (=> @t30 @t3)) % 0.36/0.70 (define @t187 () (forall @t9 (=> @t7 @t6))) % 0.36/0.70 (define @t188 () (=> @t187 @t186)) % 0.36/0.70 (define @t189 () (forall @t12 @t188)) % 0.36/0.70 (define @t190 () (= tptp.setext @t189)) % 0.36/0.70 (define @t191 () (= @t2 tptp.emptyset)) % 0.36/0.70 (define @t192 () (not @t7)) % 0.36/0.70 (define @t193 () (forall @t9 @t192)) % 0.36/0.70 (define @t194 () (=> @t193 @t191)) % 0.36/0.70 (define @t195 () (forall @t62 @t194)) % 0.36/0.70 (define @t196 () (= tptp.emptyI @t195)) % 0.36/0.70 (define @t197 () (=> @t7 (= @t155 @t142))) % 0.36/0.70 (define @t198 () (forall @t157 @t197)) % 0.36/0.70 (define @t199 () (= tptp.setbeta @t198)) % 0.36/0.70 (define @t200 () (=> (_ tptp.nonempty @t2) @t87)) % 0.36/0.70 (define @t201 () (forall @t62 @t200)) % 0.36/0.70 (define @t202 () (=> tptp.setbeta @t201)) % 0.36/0.70 (define @t203 () (=> tptp.noeltsimpempty @t202)) % 0.36/0.70 (define @t204 () (=> tptp.emptyI @t203)) % 0.36/0.70 (define @t205 () (=> tptp.setext @t204)) % 0.36/0.70 (define @t206 () (=> tptp.exuE3e @t205)) % 0.36/0.70 (define @t207 () (=> tptp.notinemptyset @t206)) % 0.36/0.70 (define @t208 () (=> tptp.emptysetimpfalse @t207)) % 0.36/0.70 (define @t209 () (=> tptp.emptysetE @t208)) % 0.36/0.70 (define @t210 () (=> tptp.prop2setE @t209)) % 0.36/0.70 (define @t211 () (=> tptp.exuE1 @t210)) % 0.36/0.70 (define @t212 () (=> tptp.dsetconstrER @t211)) % 0.36/0.70 (define @t213 () (=> tptp.dsetconstrEL @t212)) % 0.36/0.70 (define @t214 () (=> tptp.dsetconstrI @t213)) % 0.36/0.70 (define @t215 () (=> tptp.descrp @t214)) % 0.36/0.70 (define @t216 () (=> tptp.wellorderingAx @t215)) % 0.36/0.70 (define @t217 () (=> tptp.foundationAx @t216)) % 0.36/0.70 (define @t218 () (=> tptp.replAx @t217)) % 0.36/0.70 (define @t219 () (=> tptp.omegaIndAx @t218)) % 0.36/0.70 (define @t220 () (=> tptp.omegaSAx @t219)) % 0.36/0.70 (define @t221 () (=> tptp.omega0Ax @t220)) % 0.36/0.70 (define @t222 () (=> tptp.setunionAx @t221)) % 0.36/0.70 (define @t223 () (=> tptp.powersetAx @t222)) % 0.36/0.70 (define @t224 () (=> tptp.setadjoinAx @t223)) % 0.36/0.70 (define @t225 () (=> tptp.emptysetAx @t224)) % 0.36/0.70 (define @t226 () (=> tptp.setextAx @t225)) % 0.36/0.70 (define @t227 () (not @t226)) % 0.36/0.70 (define @t228 () (lambda @t148 @t166)) % 0.36/0.70 (define @t229 () (lambda @t9 @t170)) % 0.36/0.70 (define @t230 () (_ tptp.powerset tptp.emptyset)) % 0.36/0.70 (define @t231 () (_ tptp.dsetconstr @t230)) % 0.36/0.70 (define @t232 () (_ @t231 @t229)) % 0.36/0.70 (define @t233 () (lambda @t175 @t232)) % 0.36/0.70 (define @t234 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.36/0.70 (define @t235 () (tptp.in @t4 @t2)) % 0.36/0.70 (define @t236 () (not @t235)) % 0.36/0.70 (define @t237 () (forall @t9 @t236)) % 0.36/0.70 (define @t238 () (not @t237)) % 0.36/0.70 (define @t239 () (or @t191 @t238)) % 0.36/0.70 (define @t240 () (forall @t62 @t239)) % 0.36/0.70 (define @t241 () (tptp.in @t4 (tptp.dsetconstr @t2 @t141))) % 0.36/0.70 (define @t242 () (_ @t141 @t4)) % 0.36/0.70 (define @t243 () (or @t238 @t191)) % 0.36/0.70 (define @t244 () (forall @t62 @t243)) % 0.36/0.70 (define @t245 () (tptp.in @t4 @t1)) % 0.36/0.70 (define @t246 () (not @t245)) % 0.36/0.70 (define @t247 () (forall @t9 (or @t246 @t235))) % 0.36/0.70 (define @t248 () (not @t247)) % 0.36/0.70 (define @t249 () (forall @t9 (or @t236 @t245))) % 0.36/0.70 (define @t250 () (not @t249)) % 0.36/0.70 (define @t251 () (or @t250 @t248 @t3)) % 0.36/0.70 (define @t252 () (@var "BOUND_VARIABLE_8325" $$unsorted)) % 0.36/0.70 (define @t253 () (_ @t141 @t19)) % 0.36/0.70 (define @t254 () (not @t253)) % 0.36/0.70 (define @t255 () (not (_ @t141 @t252))) % 0.36/0.70 (define @t256 () (not @t242)) % 0.36/0.70 (define @t257 () (not (forall @t9 @t256))) % 0.36/0.70 (define @t258 () (@list @t141 @t252)) % 0.36/0.70 (define @t259 () (tptp.in @t4 tptp.emptyset)) % 0.36/0.70 (define @t260 () (forall @t9 (not @t259))) % 0.36/0.70 (define @t261 () (@var "BOUND_VARIABLE_13183" $$unsorted)) % 0.36/0.70 (define @t262 () (lambda (@list @t261) false)) % 0.36/0.70 (define @t263 () (tptp.powerset tptp.emptyset)) % 0.36/0.70 (define @t264 () (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t263 @t262)))) (=> @t260 (=> @t260 (=> @t260 (=> (forall @t258 (or @t257 @t255 (not (forall @t68 (or @t254 (= @t19 @t252)))))) (=> (forall @t12 @t251) (=> @t244 (=> @t244 (=> (forall @t157 (or @t236 (= @t242 @t241))) @t240)))))))))) % 0.36/0.70 (define @t265 () (not @t241)) % 0.36/0.70 (define @t266 () (forall @t157 (or @t265 @t242))) % 0.36/0.70 (define @t267 () (forall @t157 (or @t265 @t235))) % 0.36/0.70 (define @t268 () (forall @t157 (or @t236 @t256 @t241))) % 0.36/0.70 (define @t269 () (@var "BOUND_VARIABLE_8196" $$unsorted)) % 0.36/0.70 (define @t270 () (not (_ @t141 @t269))) % 0.36/0.70 (define @t271 () (_ @t141 (tptp.descr @t141))) % 0.36/0.70 (define @t272 () (@list @t141 @t269)) % 0.36/0.70 (define @t273 () (forall @t272 (or @t271 @t270 (not (forall @t68 (or @t254 (= @t19 @t269))))))) % 0.36/0.70 (define @t274 () (@var "BOUND_VARIABLE_8116" $$unsorted)) % 0.36/0.70 (define @t275 () (tptp.in @t274 @t93)) % 0.36/0.70 (define @t276 () (not (tptp.in @t274 @t91))) % 0.36/0.70 (define @t277 () (tptp.in @t4 @t91)) % 0.36/0.70 (define @t278 () (tptp.in @t91 @t1)) % 0.36/0.70 (define @t279 () (not @t278)) % 0.36/0.70 (define @t280 () (or @t279 @t277 @t276 @t275)) % 0.36/0.70 (define @t281 () (@list @t91 @t274)) % 0.36/0.70 (define @t282 () (forall @t281 @t280)) % 0.36/0.70 (define @t283 () (not @t282)) % 0.36/0.70 (define @t284 () (tptp.in @t19 @t102)) % 0.36/0.70 (define @t285 () (tptp.in @t19 @t93)) % 0.36/0.70 (define @t286 () (forall @t68 (or (not @t285) (not @t284)))) % 0.36/0.70 (define @t287 () (not @t286)) % 0.36/0.70 (define @t288 () (tptp.in @t4 @t102)) % 0.36/0.70 (define @t289 () (not @t288)) % 0.36/0.70 (define @t290 () (tptp.in @t93 @t1)) % 0.36/0.70 (define @t291 () (not @t290)) % 0.36/0.70 (define @t292 () (not (forall @t110 (or @t291 @t289 @t287 @t283)))) % 0.36/0.70 (define @t293 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 0.36/0.70 (define @t294 () (not (tptp.in @t293 @t102))) % 0.36/0.70 (define @t295 () (forall @t9 (or @t289 @t235))) % 0.36/0.70 (define @t296 () (not @t295)) % 0.36/0.70 (define @t297 () (or @t296 @t294 @t292)) % 0.36/0.70 (define @t298 () (forall (@list @t102 @t293) @t297)) % 0.36/0.70 (define @t299 () (not @t298)) % 0.36/0.70 (define @t300 () (@var "BOUND_VARIABLE_8068" $$unsorted)) % 0.36/0.70 (define @t301 () (tptp.in @t300 @t102)) % 0.36/0.70 (define @t302 () (not (tptp.in @t300 @t93))) % 0.36/0.70 (define @t303 () (@var "BOUND_VARIABLE_8062" $$unsorted)) % 0.36/0.70 (define @t304 () (tptp.in @t303 @t93)) % 0.36/0.70 (define @t305 () (not (tptp.in @t303 @t102))) % 0.36/0.70 (define @t306 () (tptp.in @t102 @t1)) % 0.36/0.70 (define @t307 () (not @t306)) % 0.36/0.70 (define @t308 () (or @t307 @t291 @t305 @t304 @t302 @t301)) % 0.36/0.70 (define @t309 () (@list @t102 @t93 @t303 @t300)) % 0.36/0.70 (define @t310 () (forall @t309 @t308)) % 0.36/0.70 (define @t311 () (not @t310)) % 0.36/0.70 (define @t312 () (forall @t116 (or @t307 (= @t288 @t284)))) % 0.36/0.70 (define @t313 () (not @t312)) % 0.36/0.70 (define @t314 () (tptp.in @t19 @t2)) % 0.36/0.70 (define @t315 () (not @t314)) % 0.36/0.70 (define @t316 () (forall @t133 (or @t236 @t315 @t313 @t127))) % 0.36/0.70 (define @t317 () (not @t316)) % 0.36/0.70 (define @t318 () (@var "BOUND_VARIABLE_8011" $$unsorted)) % 0.36/0.70 (define @t319 () (tptp.in @t318 @t2)) % 0.36/0.70 (define @t320 () (not (tptp.in @t318 @t102))) % 0.36/0.70 (define @t321 () (or @t307 @t320 @t319)) % 0.36/0.70 (define @t322 () (@list @t102 @t318)) % 0.36/0.70 (define @t323 () (forall @t322 @t321)) % 0.36/0.70 (define @t324 () (not @t323)) % 0.36/0.70 (define @t325 () (or @t324 @t317 @t311 @t299)) % 0.36/0.70 (define @t326 () (forall @t62 (not (forall @t39 @t325)))) % 0.36/0.70 (define @t327 () (forall @t9 (or @t246 @t236))) % 0.36/0.70 (define @t328 () (not @t327)) % 0.36/0.70 (define @t329 () (tptp.in @t1 @t2)) % 0.36/0.70 (define @t330 () (not @t329)) % 0.36/0.70 (define @t331 () (not (forall @t39 (or @t330 @t328)))) % 0.36/0.70 (define @t332 () (@var "BOUND_VARIABLE_7986" $$unsorted)) % 0.36/0.70 (define @t333 () (not (tptp.in @t332 @t2))) % 0.36/0.70 (define @t334 () (or @t333 @t331)) % 0.36/0.70 (define @t335 () (forall (@list @t2 @t332) @t334)) % 0.36/0.70 (define @t336 () (_ @t65 @t19 @t4)) % 0.36/0.70 (define @t337 () (not (forall @t68 (or @t315 (not @t336))))) % 0.36/0.70 (define @t338 () (forall @t9 (= @t245 @t337))) % 0.36/0.70 (define @t339 () (not (forall @t39 (not @t338)))) % 0.36/0.70 (define @t340 () (@var "BOUND_VARIABLE_7876" $$unsorted)) % 0.36/0.70 (define @t341 () (= @t19 @t340)) % 0.36/0.70 (define @t342 () (_ @t65 @t4 @t19)) % 0.36/0.70 (define @t343 () (not (forall @t68 (or (not @t342) @t341)))) % 0.36/0.70 (define @t344 () (_ @t65 @t4 @t340)) % 0.36/0.70 (define @t345 () (@list @t340)) % 0.36/0.70 (define @t346 () (not (forall @t345 (or (not @t344) @t343)))) % 0.36/0.70 (define @t347 () (forall @t9 (or @t236 @t346))) % 0.36/0.70 (define @t348 () (forall @t79 (or (not @t347) @t339))) % 0.36/0.70 (define @t349 () (@var "BOUND_VARIABLE_7857" $$unsorted)) % 0.36/0.70 (define @t350 () (tptp.in @t349 @t2)) % 0.36/0.70 (define @t351 () (not (tptp.in @t349 tptp.omega))) % 0.36/0.70 (define @t352 () (tptp.setadjoin @t4 @t4)) % 0.36/0.70 (define @t353 () (tptp.in @t352 @t2)) % 0.36/0.70 (define @t354 () (tptp.in @t4 tptp.omega)) % 0.36/0.70 (define @t355 () (not @t354)) % 0.36/0.70 (define @t356 () (forall @t9 (or @t355 @t236 @t353))) % 0.36/0.70 (define @t357 () (not @t356)) % 0.36/0.70 (define @t358 () (tptp.in tptp.emptyset @t2)) % 0.36/0.70 (define @t359 () (not @t358)) % 0.36/0.70 (define @t360 () (or @t359 @t357 @t351 @t350)) % 0.36/0.70 (define @t361 () (@list @t2 @t349)) % 0.36/0.70 (define @t362 () (forall @t361 @t360)) % 0.36/0.70 (define @t363 () (tptp.in @t352 tptp.omega)) % 0.36/0.70 (define @t364 () (forall @t9 (or @t355 @t363))) % 0.36/0.70 (define @t365 () (=> @t364 (=> @t362 (=> @t348 (=> @t335 (=> @t326 (=> @t273 (=> @t268 (=> @t267 (=> @t266 @t264)))))))))) % 0.36/0.70 (define @t366 () (tptp.in tptp.emptyset tptp.omega)) % 0.36/0.70 (define @t367 () (=> @t48 @t365)) % 0.36/0.70 (define @t368 () (tptp.setunion @t2)) % 0.36/0.70 (define @t369 () (tptp.in @t4 @t368)) % 0.36/0.70 (define @t370 () (not (forall @t39 (or @t246 @t330)))) % 0.36/0.70 (define @t371 () (forall @t44 (= @t370 @t369))) % 0.36/0.70 (define @t372 () (=> @t371 @t367)) % 0.36/0.70 (define @t373 () (tptp.powerset @t2)) % 0.36/0.70 (define @t374 () (tptp.in @t1 @t373)) % 0.36/0.70 (define @t375 () (forall @t12 (= @t247 @t374))) % 0.36/0.70 (define @t376 () (=> @t375 @t372)) % 0.36/0.70 (define @t377 () (tptp.setadjoin @t4 @t2)) % 0.36/0.70 (define @t378 () (tptp.in @t19 @t377)) % 0.36/0.70 (define @t379 () (forall @t27 (= @t378 (or @t127 @t314)))) % 0.36/0.70 (define @t380 () (=> @t379 @t376)) % 0.36/0.70 (define @t381 () (=> @t260 @t380)) % 0.36/0.70 (define @t382 () (forall @t9 (= @t235 @t245))) % 0.36/0.70 (define @t383 () (forall @t12 (or (not @t382) @t3))) % 0.36/0.70 (define @t384 () (=> @t383 @t381)) % 0.36/0.70 (define @t385 () (=> @t266 (=> true @t264))) % 0.36/0.70 (define @t386 () (=> @t267 @t385)) % 0.36/0.70 (define @t387 () (=> @t268 @t386)) % 0.36/0.70 (define @t388 () (=> @t273 @t387)) % 0.36/0.70 (define @t389 () (=> @t326 @t388)) % 0.36/0.70 (define @t390 () (=> @t335 @t389)) % 0.36/0.70 (define @t391 () (=> @t348 @t390)) % 0.36/0.70 (define @t392 () (=> @t362 @t391)) % 0.36/0.70 (define @t393 () (=> @t364 @t392)) % 0.36/0.70 (define @t394 () (=> @t48 @t393)) % 0.36/0.70 (define @t395 () (=> @t371 @t394)) % 0.36/0.70 (define @t396 () (=> @t375 @t395)) % 0.36/0.70 (define @t397 () (=> @t379 @t396)) % 0.36/0.70 (define @t398 () (=> @t260 @t397)) % 0.36/0.70 (define @t399 () (=> @t383 @t398)) % 0.36/0.70 (define @t400 () (lambda @t68 @t253)) % 0.36/0.70 (define @t401 () (tptp.dsetconstr @t2 @t400)) % 0.36/0.70 (define @t402 () (tptp.in @t4 @t401)) % 0.36/0.70 (define @t403 () (= @t242 @t402)) % 0.36/0.70 (define @t404 () (or @t236 @t403)) % 0.36/0.70 (define @t405 () (= @t142 @t155)) % 0.36/0.70 (define @t406 () (or @t192 @t405)) % 0.36/0.70 (define @t407 () (=> tptp.setbeta @t240)) % 0.36/0.70 (define @t408 () (=> tptp.noeltsimpempty @t407)) % 0.36/0.70 (define @t409 () (=> tptp.emptyI @t408)) % 0.36/0.70 (define @t410 () (=> @t247 @t3)) % 0.36/0.70 (define @t411 () (not @t6)) % 0.36/0.70 (define @t412 () (or @t411 @t7)) % 0.36/0.70 (define @t413 () (or @t192 @t6)) % 0.36/0.70 (define @t414 () (=> tptp.setext @t409)) % 0.36/0.70 (define @t415 () (or @t254 (= @t252 @t19))) % 0.36/0.70 (define @t416 () (forall @t68 @t415)) % 0.36/0.70 (define @t417 () (not @t416)) % 0.36/0.70 (define @t418 () (or @t257 @t255 @t417)) % 0.36/0.70 (define @t419 () (or @t255 @t417)) % 0.36/0.70 (define @t420 () (or @t419 @t257)) % 0.36/0.70 (define @t421 () (forall @t258 @t420)) % 0.36/0.70 (define @t422 () (@list @t252)) % 0.36/0.70 (define @t423 () (forall @t422 @t420)) % 0.36/0.70 (define @t424 () (forall @t422 @t419)) % 0.36/0.70 (define @t425 () (@list @t4)) % 0.36/0.70 (define @t426 () (or @t424 @t257)) % 0.36/0.70 (define @t427 () (forall @t68 (or @t254 @t127))) % 0.36/0.70 (define @t428 () (not @t427)) % 0.36/0.70 (define @t429 () (forall @t9 (or @t256 @t428))) % 0.36/0.70 (define @t430 () (not @t429)) % 0.36/0.70 (define @t431 () (not @t430)) % 0.36/0.70 (define @t432 () (not @t142)) % 0.36/0.70 (define @t433 () (forall @t9 @t432)) % 0.36/0.70 (define @t434 () (not @t433)) % 0.36/0.70 (define @t435 () (or @t432 @t428)) % 0.36/0.70 (define @t436 () (not @t151)) % 0.36/0.70 (define @t437 () (or @t436 @t127)) % 0.36/0.70 (define @t438 () (_ @t143 @t19)) % 0.36/0.70 (define @t439 () (not @t438)) % 0.36/0.70 (define @t440 () (or @t439 @t127)) % 0.36/0.70 (define @t441 () (forall @t68 @t440)) % 0.36/0.70 (define @t442 () (not @t441)) % 0.36/0.70 (define @t443 () (_ @t143 @t4)) % 0.36/0.70 (define @t444 () (not @t443)) % 0.36/0.70 (define @t445 () (or @t444 @t442)) % 0.36/0.70 (define @t446 () (forall @t9 @t445)) % 0.36/0.70 (define @t447 () (not @t446)) % 0.36/0.70 (define @t448 () (lambda @t148 @t430)) % 0.36/0.70 (define @t449 () (_ @t448 @t143)) % 0.36/0.70 (define @t450 () (=> @t449 @t182)) % 0.36/0.70 (define @t451 () (forall @t148 @t450)) % 0.36/0.70 (define @t452 () (and @t142 @t427)) % 0.36/0.70 (define @t453 () (forall @t9 (not @t452))) % 0.36/0.70 (define @t454 () (not @t453)) % 0.36/0.70 (define @t455 () (=> tptp.exuE3e @t414)) % 0.36/0.70 (define @t456 () (=> tptp.notinemptyset @t455)) % 0.36/0.70 (define @t457 () (=> tptp.emptysetimpfalse @t456)) % 0.36/0.70 (define @t458 () (not (= @t170 false))) % 0.36/0.70 (define @t459 () (or @t170 @t170)) % 0.36/0.70 (define @t460 () (=> tptp.emptysetE @t457)) % 0.36/0.70 (define @t461 () (@var "BOUND_VARIABLE_8270" $$unsorted)) % 0.36/0.70 (define @t462 () (@list @t461)) % 0.36/0.70 (define @t463 () (lambda @t462 false)) % 0.36/0.70 (define @t464 () (@list @t461)) % 0.36/0.70 (define @t465 () (tptp.dsetconstr @t263 @t463)) % 0.36/0.70 (define @t466 () (tptp.in @t4 @t465)) % 0.36/0.70 (define @t467 () (not @t466)) % 0.36/0.70 (define @t468 () (or @t467 false)) % 0.36/0.70 (define @t469 () (lambda @t462 @t170)) % 0.36/0.70 (define @t470 () (tptp.dsetconstr @t263 @t469)) % 0.36/0.70 (define @t471 () (tptp.in @t4 @t470)) % 0.36/0.70 (define @t472 () (not @t471)) % 0.36/0.70 (define @t473 () (or @t170 @t472 @t170)) % 0.36/0.70 (define @t474 () (or @t472 @t170)) % 0.36/0.70 (define @t475 () (forall @t175 @t474)) % 0.36/0.70 (define @t476 () (forall @t9 @t475)) % 0.36/0.70 (define @t477 () (forall (@list @t4 @t170) @t474)) % 0.36/0.70 (define @t478 () (_ @t231 @t469)) % 0.36/0.70 (define @t479 () (_ @t5 @t478)) % 0.36/0.70 (define @t480 () (not @t479)) % 0.36/0.70 (define @t481 () (or @t480 @t170)) % 0.36/0.70 (define @t482 () (=> (_ @t5 @t232) @t170)) % 0.36/0.70 (define @t483 () (_ @t233 @t170)) % 0.36/0.70 (define @t484 () (=> (_ @t5 @t483) @t170)) % 0.36/0.70 (define @t485 () (forall @t172 @t484)) % 0.36/0.70 (define @t486 () (=> tptp.prop2setE @t460)) % 0.36/0.70 (define @t487 () (=> @t449 @t166)) % 0.36/0.70 (define @t488 () (forall @t148 @t487)) % 0.36/0.70 (define @t489 () (=> tptp.exuE1 @t486)) % 0.36/0.70 (define @t490 () (not @t402)) % 0.36/0.70 (define @t491 () (or @t490 @t242)) % 0.36/0.70 (define @t492 () (not @t155)) % 0.36/0.70 (define @t493 () (or @t492 @t142)) % 0.36/0.70 (define @t494 () (=> tptp.dsetconstrER @t489)) % 0.36/0.70 (define @t495 () (or @t490 @t235)) % 0.36/0.70 (define @t496 () (or @t492 @t7)) % 0.36/0.70 (define @t497 () (=> tptp.dsetconstrEL @t494)) % 0.36/0.70 (define @t498 () (or @t236 @t256 @t402)) % 0.36/0.70 (define @t499 () (or @t192 @t432 @t155)) % 0.36/0.70 (define @t500 () (=> tptp.dsetconstrI @t497)) % 0.36/0.70 (define @t501 () (or @t254 (= @t269 @t19))) % 0.36/0.70 (define @t502 () (forall @t68 @t501)) % 0.36/0.70 (define @t503 () (not @t502)) % 0.36/0.70 (define @t504 () (or @t271 @t270 @t503)) % 0.36/0.70 (define @t505 () (or @t270 @t503)) % 0.36/0.70 (define @t506 () (or @t505 @t271)) % 0.36/0.70 (define @t507 () (forall @t272 @t506)) % 0.36/0.70 (define @t508 () (@list @t269)) % 0.36/0.70 (define @t509 () (forall @t508 @t506)) % 0.36/0.70 (define @t510 () (forall @t508 @t505)) % 0.36/0.70 (define @t511 () (or @t510 @t271)) % 0.36/0.70 (define @t512 () (lambda @t9 @t242)) % 0.36/0.70 (define @t513 () (tptp.descr @t512)) % 0.36/0.70 (define @t514 () (_ @t141 @t513)) % 0.36/0.70 (define @t515 () (or @t429 @t514)) % 0.36/0.70 (define @t516 () (or @t429 @t145)) % 0.36/0.70 (define @t517 () (=> @t449 @t145)) % 0.36/0.70 (define @t518 () (forall @t148 @t517)) % 0.36/0.70 (define @t519 () (=> tptp.descrp @t500)) % 0.36/0.70 (define @t520 () (and @t323 @t316 @t310 @t298)) % 0.36/0.70 (define @t521 () (forall @t39 (not @t520))) % 0.36/0.70 (define @t522 () (not @t521)) % 0.36/0.70 (define @t523 () (@list @t293)) % 0.36/0.70 (define @t524 () (forall @t523 @t297)) % 0.36/0.70 (define @t525 () (forall @t523 @t294)) % 0.36/0.70 (define @t526 () (or @t296 @t525 @t292)) % 0.36/0.70 (define @t527 () (forall @t9 @t289)) % 0.36/0.70 (define @t528 () (or @t296 @t527 @t292)) % 0.36/0.70 (define @t529 () (not @t527)) % 0.36/0.70 (define @t530 () (and @t295 @t529)) % 0.36/0.70 (define @t531 () (not @t107)) % 0.36/0.70 (define @t532 () (not @t108)) % 0.36/0.70 (define @t533 () (or @t532 @t531 @t287 @t283)) % 0.36/0.70 (define @t534 () (and @t108 @t107 @t286 @t282)) % 0.36/0.70 (define @t535 () (forall @t110 (not @t534))) % 0.36/0.70 (define @t536 () (not @t535)) % 0.36/0.70 (define @t537 () (or @t276 @t275)) % 0.36/0.70 (define @t538 () (or @t279 @t537 @t277)) % 0.36/0.70 (define @t539 () (forall @t281 @t538)) % 0.36/0.70 (define @t540 () (@list @t274)) % 0.36/0.70 (define @t541 () (forall @t540 @t538)) % 0.36/0.70 (define @t542 () (forall @t540 @t537)) % 0.36/0.70 (define @t543 () (or @t279 @t542 @t277)) % 0.36/0.70 (define @t544 () (tptp.in @t19 @t91)) % 0.36/0.70 (define @t545 () (forall @t68 (or (not @t544) @t285))) % 0.36/0.70 (define @t546 () (not @t98)) % 0.36/0.70 (define @t547 () (or @t546 @t545 @t92)) % 0.36/0.70 (define @t548 () (or @t545 @t92)) % 0.36/0.70 (define @t549 () (not @t95)) % 0.36/0.70 (define @t550 () (or @t549 @t94)) % 0.36/0.70 (define @t551 () (not @t103)) % 0.36/0.70 (define @t552 () (not @t94)) % 0.36/0.70 (define @t553 () (or @t552 @t551)) % 0.36/0.70 (define @t554 () (forall @t68 (not @t104))) % 0.36/0.70 (define @t555 () (not @t554)) % 0.36/0.70 (define @t556 () (forall @t9 @t531)) % 0.36/0.70 (define @t557 () (not @t556)) % 0.36/0.70 (define @t558 () (or @t531 @t7)) % 0.36/0.70 (define @t559 () (or @t302 @t301)) % 0.36/0.70 (define @t560 () (or @t305 @t304)) % 0.36/0.70 (define @t561 () (or @t307 @t291 @t560 @t559)) % 0.36/0.70 (define @t562 () (forall @t309 @t561)) % 0.36/0.70 (define @t563 () (forall (@list @t303 @t300) @t561)) % 0.36/0.70 (define @t564 () (forall (@list @t300) @t559)) % 0.36/0.71 (define @t565 () (forall (@list @t303) @t560)) % 0.36/0.71 (define @t566 () (or @t307 @t291 @t565 @t564)) % 0.36/0.71 (define @t567 () (tptp.in @t4 @t93)) % 0.36/0.71 (define @t568 () (forall @t9 (or (not @t567) @t288))) % 0.36/0.71 (define @t569 () (forall @t9 (or @t289 @t567))) % 0.36/0.71 (define @t570 () (not @t122)) % 0.36/0.71 (define @t571 () (or @t570 @t532 @t569 @t568)) % 0.36/0.71 (define @t572 () (or @t569 @t568)) % 0.36/0.71 (define @t573 () (not @t118)) % 0.36/0.71 (define @t574 () (or @t573 @t107)) % 0.36/0.71 (define @t575 () (or @t531 @t118)) % 0.36/0.71 (define @t576 () (not @t21)) % 0.36/0.71 (define @t577 () (or @t192 @t576 @t313 @t127)) % 0.36/0.71 (define @t578 () (=> @t312 @t127)) % 0.36/0.71 (define @t579 () (or @t570 @t128)) % 0.36/0.71 (define @t580 () (or @t320 @t319)) % 0.36/0.71 (define @t581 () (or @t307 @t580)) % 0.36/0.71 (define @t582 () (forall @t322 @t581)) % 0.36/0.71 (define @t583 () (@list @t318)) % 0.36/0.71 (define @t584 () (forall @t583 @t581)) % 0.36/0.71 (define @t585 () (forall @t583 @t580)) % 0.36/0.71 (define @t586 () (or @t307 @t585)) % 0.36/0.71 (define @t587 () (or @t570 @t295)) % 0.36/0.71 (define @t588 () (=> tptp.wellorderingAx @t519)) % 0.36/0.71 (define @t589 () (@list @t332)) % 0.36/0.71 (define @t590 () (forall @t589 @t334)) % 0.36/0.71 (define @t591 () (forall @t589 @t333)) % 0.36/0.71 (define @t592 () (or @t591 @t331)) % 0.36/0.71 (define @t593 () (not @t37)) % 0.36/0.71 (define @t594 () (or @t593 @t328)) % 0.36/0.71 (define @t595 () (and @t37 @t327)) % 0.36/0.71 (define @t596 () (forall @t39 (not @t595))) % 0.36/0.71 (define @t597 () (not @t596)) % 0.36/0.71 (define @t598 () (or @t411 @t192)) % 0.36/0.71 (define @t599 () (forall @t9 (not @t82))) % 0.36/0.71 (define @t600 () (not @t599)) % 0.36/0.71 (define @t601 () (not @t193)) % 0.36/0.71 (define @t602 () (=> tptp.foundationAx @t588)) % 0.36/0.71 (define @t603 () (= @t6 @t337)) % 0.36/0.71 (define @t604 () (not @t66)) % 0.36/0.71 (define @t605 () (or @t576 @t604)) % 0.36/0.71 (define @t606 () (forall @t68 (not @t67))) % 0.36/0.71 (define @t607 () (not @t606)) % 0.36/0.71 (define @t608 () (or @t192 @t346)) % 0.36/0.71 (define @t609 () (_ @t73 @t340)) % 0.36/0.71 (define @t610 () (not @t609)) % 0.36/0.71 (define @t611 () (or @t610 @t343)) % 0.36/0.71 (define @t612 () (not @t74)) % 0.36/0.71 (define @t613 () (or @t612 @t341)) % 0.36/0.71 (define @t614 () (_ @t75 @t19)) % 0.36/0.71 (define @t615 () (not @t614)) % 0.36/0.71 (define @t616 () (or @t615 @t341)) % 0.36/0.71 (define @t617 () (forall @t68 @t616)) % 0.36/0.71 (define @t618 () (not @t617)) % 0.36/0.71 (define @t619 () (_ @t75 @t340)) % 0.36/0.71 (define @t620 () (not @t619)) % 0.36/0.71 (define @t621 () (or @t620 @t618)) % 0.36/0.71 (define @t622 () (forall @t345 @t621)) % 0.36/0.71 (define @t623 () (not @t622)) % 0.36/0.71 (define @t624 () (not (_ @t141 @t340))) % 0.36/0.71 (define @t625 () (or @t254 (= @t340 @t19))) % 0.36/0.71 (define @t626 () (forall @t68 @t625)) % 0.36/0.71 (define @t627 () (not @t626)) % 0.36/0.71 (define @t628 () (or @t624 @t627)) % 0.36/0.71 (define @t629 () (forall @t345 @t628)) % 0.36/0.71 (define @t630 () (not @t629)) % 0.36/0.71 (define @t631 () (=> @t7 (_ @t448 @t75))) % 0.36/0.71 (define @t632 () (forall @t9 @t631)) % 0.36/0.71 (define @t633 () (=> @t632 @t72)) % 0.36/0.71 (define @t634 () (forall @t79 @t633)) % 0.36/0.71 (define @t635 () (=> tptp.replAx @t602)) % 0.36/0.71 (define @t636 () (or @t351 @t350)) % 0.36/0.71 (define @t637 () (or @t359 @t357 @t636)) % 0.36/0.71 (define @t638 () (forall @t361 @t637)) % 0.36/0.71 (define @t639 () (@list @t349)) % 0.36/0.71 (define @t640 () (forall @t639 @t637)) % 0.36/0.71 (define @t641 () (forall @t639 @t636)) % 0.36/0.71 (define @t642 () (or @t359 @t357 @t641)) % 0.36/0.71 (define @t643 () (forall @t9 (or @t355 @t235))) % 0.36/0.71 (define @t644 () (not @t59)) % 0.36/0.71 (define @t645 () (or @t644 @t357 @t643)) % 0.36/0.71 (define @t646 () (and @t59 @t356)) % 0.36/0.71 (define @t647 () (not @t52)) % 0.36/0.71 (define @t648 () (or @t647 @t7)) % 0.36/0.71 (define @t649 () (_ tptp.in @t352)) % 0.36/0.71 (define @t650 () (or @t647 @t192 @t56)) % 0.36/0.71 (define @t651 () (=> tptp.omegaIndAx @t635)) % 0.36/0.71 (define @t652 () (or @t647 @t51)) % 0.36/0.71 (define @t653 () (=> tptp.omegaSAx @t651)) % 0.36/0.71 (define @t654 () (=> tptp.omega0Ax @t653)) % 0.36/0.71 (define @t655 () (= @t42 @t370)) % 0.36/0.71 (define @t656 () (or @t411 @t593)) % 0.36/0.71 (define @t657 () (forall @t39 (not @t38))) % 0.36/0.71 (define @t658 () (not @t657)) % 0.36/0.71 (define @t659 () (=> tptp.setunionAx @t654)) % 0.36/0.71 (define @t660 () (= @t33 @t247)) % 0.36/0.71 (define @t661 () (=> tptp.powersetAx @t659)) % 0.36/0.71 (define @t662 () (or @t127 @t21)) % 0.36/0.71 (define @t663 () (= @t25 @t662)) % 0.36/0.71 (define @t664 () (=> tptp.setadjoinAx @t661)) % 0.36/0.71 (define @t665 () (=> tptp.emptysetAx @t664)) % 0.36/0.71 (define @t666 () (=> tptp.setextAx @t665)) % 0.36/0.71 (define @t667 () (not @t191)) % 0.36/0.71 (define @t668 () (_ @t234 @t2)) % 0.36/0.71 (define @t669 () (=> @t668 @t87)) % 0.36/0.71 (define @t670 () (forall @t62 @t669)) % 0.36/0.71 (define @t671 () (=> tptp.setbeta @t670)) % 0.36/0.71 (define @t672 () (=> tptp.noeltsimpempty @t671)) % 0.36/0.71 (define @t673 () (=> tptp.emptyI @t672)) % 0.36/0.71 (define @t674 () (=> tptp.setext @t673)) % 0.36/0.71 (define @t675 () (=> tptp.exuE3e @t674)) % 0.36/0.71 (define @t676 () (=> tptp.notinemptyset @t675)) % 0.36/0.71 (define @t677 () (=> tptp.emptysetimpfalse @t676)) % 0.36/0.71 (define @t678 () (=> tptp.emptysetE @t677)) % 0.36/0.71 (define @t679 () (=> tptp.prop2setE @t678)) % 0.36/0.71 (define @t680 () (=> tptp.exuE1 @t679)) % 0.36/0.71 (define @t681 () (=> tptp.dsetconstrER @t680)) % 0.36/0.71 (define @t682 () (=> tptp.dsetconstrEL @t681)) % 0.36/0.71 (define @t683 () (=> tptp.dsetconstrI @t682)) % 0.36/0.71 (define @t684 () (=> tptp.descrp @t683)) % 0.36/0.71 (define @t685 () (=> tptp.wellorderingAx @t684)) % 0.36/0.71 (define @t686 () (=> tptp.foundationAx @t685)) % 0.36/0.71 (define @t687 () (=> tptp.replAx @t686)) % 0.36/0.71 (define @t688 () (=> tptp.omegaIndAx @t687)) % 0.36/0.71 (define @t689 () (=> tptp.omegaSAx @t688)) % 0.36/0.71 (define @t690 () (=> tptp.omega0Ax @t689)) % 0.36/0.71 (define @t691 () (=> tptp.setunionAx @t690)) % 0.36/0.71 (define @t692 () (=> tptp.powersetAx @t691)) % 0.36/0.71 (define @t693 () (=> tptp.setadjoinAx @t692)) % 0.36/0.71 (define @t694 () (=> tptp.emptysetAx @t693)) % 0.36/0.71 (define @t695 () (=> tptp.setextAx @t694)) % 0.36/0.71 (define @t696 () (@list false)) % 0.36/0.71 (assume @p1 @t14) % 0.36/0.71 (assume @p2 @t18) % 0.36/0.71 (assume @p3 @t29) % 0.36/0.71 (assume @p4 @t36) % 0.36/0.71 (assume @p5 @t46) % 0.36/0.71 (assume @p6 (= tptp.omega0Ax @t48)) % 0.36/0.71 (assume @p7 @t54) % 0.36/0.71 (assume @p8 @t64) % 0.36/0.71 (assume @p9 @t81) % 0.36/0.71 (assume @p10 @t90) % 0.36/0.71 (assume @p11 @t140) % 0.36/0.71 (assume @p12 @t150) % 0.36/0.71 (assume @p13 @t159) % 0.36/0.71 (assume @p14 @t161) % 0.36/0.71 (assume @p15 @t163) % 0.36/0.71 (assume @p16 @t169) % 0.36/0.71 (assume @p17 @t174) % 0.36/0.71 (assume @p18 @t179) % 0.36/0.71 (assume @p19 @t181) % 0.36/0.71 (assume @p20 (= tptp.notinemptyset @t17)) % 0.36/0.71 (assume @p21 @t185) % 0.36/0.71 (assume @p22 @t190) % 0.36/0.71 (assume @p23 @t196) % 0.36/0.71 (assume @p24 (= tptp.noeltsimpempty @t195)) % 0.36/0.71 (assume @p25 @t199) % 0.36/0.71 (assume @p26 @t227) % 0.36/0.71 (assume @p27 true) % 0.36/0.71 (step @p28 (= tptp.exu @t228) :rule refl :args (@t228)) % 0.36/0.71 (step @p29 (= tptp.prop2set @t233) :rule refl :args (@t233)) % 0.36/0.71 (step @p30 (= tptp.nonempty @t234) :rule refl :args (@t234)) % 0.36/0.71 (step @p31 :rule refl :args (@t365)) % 0.36/0.71 (step @p32 :rule refl :args (@t366)) % 0.36/0.71 (step @p33 :rule refl :args (@t48)) % 0.36/0.71 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t48 @t366))) % 0.36/0.71 (step @p35 :rule symm :premises (@p34)) % 0.36/0.71 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.36/0.71 (step @p37 :rule cong :premises (@p36 @p31) :args (@t367)) % 0.36/0.71 (step @p38 :rule refl :args (@t371)) % 0.36/0.71 (step @p39 :rule cong :premises (@p38 @p37) :args (@t372)) % 0.36/0.71 (step @p40 :rule refl :args (@t375)) % 0.36/0.71 (step @p41 :rule cong :premises (@p40 @p39) :args (@t376)) % 0.36/0.71 (step @p42 :rule refl :args (@t379)) % 0.36/0.71 (step @p43 :rule cong :premises (@p42 @p41) :args (@t380)) % 0.36/0.71 (step @p44 :rule refl :args (@t260)) % 0.36/0.71 (step @p45 :rule cong :premises (@p44 @p43) :args (@t381)) % 0.36/0.71 (step @p46 :rule refl :args (@t383)) % 0.36/0.71 (step @p47 :rule cong :premises (@p46 @p45) :args (@t384)) % 0.36/0.71 (step @p48 :rule cong :premises (@p47) :args ((not @t384))) % 0.36/0.71 (step @p49 :rule bool-impl-true2 :args (@t264)) % 0.36/0.71 (step @p50 :rule refl :args (@t266)) % 0.36/0.71 (step @p51 :rule cong :premises (@p50 @p49) :args (@t385)) % 0.36/0.71 (step @p52 :rule refl :args (@t267)) % 0.36/0.71 (step @p53 :rule cong :premises (@p52 @p51) :args (@t386)) % 0.36/0.71 (step @p54 :rule refl :args (@t268)) % 0.36/0.71 (step @p55 :rule cong :premises (@p54 @p53) :args (@t387)) % 0.36/0.71 (step @p56 :rule refl :args (@t273)) % 0.36/0.71 (step @p57 :rule cong :premises (@p56 @p55) :args (@t388)) % 0.36/0.71 (step @p58 :rule refl :args (@t326)) % 0.36/0.71 (step @p59 :rule cong :premises (@p58 @p57) :args (@t389)) % 0.36/0.71 (step @p60 :rule refl :args (@t335)) % 0.36/0.71 (step @p61 :rule cong :premises (@p60 @p59) :args (@t390)) % 0.36/0.71 (step @p62 :rule refl :args (@t348)) % 0.36/0.71 (step @p63 :rule cong :premises (@p62 @p61) :args (@t391)) % 0.36/0.71 (step @p64 :rule refl :args (@t362)) % 0.36/0.71 (step @p65 :rule cong :premises (@p64 @p63) :args (@t392)) % 0.36/0.71 (step @p66 :rule refl :args (@t364)) % 0.36/0.71 (step @p67 :rule cong :premises (@p66 @p65) :args (@t393)) % 0.36/0.71 (step @p68 :rule refl :args (@t48)) % 0.36/0.71 (step @p69 :rule cong :premises (@p68 @p67) :args (@t394)) % 0.36/0.71 (step @p70 :rule cong :premises (@p38 @p69) :args (@t395)) % 0.36/0.71 (step @p71 :rule cong :premises (@p40 @p70) :args (@t396)) % 0.36/0.71 (step @p72 :rule cong :premises (@p42 @p71) :args (@t397)) % 0.36/0.71 (step @p73 :rule cong :premises (@p44 @p72) :args (@t398)) % 0.36/0.71 (step @p74 :rule cong :premises (@p46 @p73) :args (@t399)) % 0.36/0.71 (step @p75 :rule cong :premises (@p74) :args ((not @t399))) % 0.36/0.71 (step @p76 :rule refl :args (@t240)) % 0.36/0.71 (step @p77 :rule lambda-elim :args ((= @t400 @t141))) % 0.36/0.71 (step @p78 :rule refl :args (@t2)) % 0.36/0.71 (step @p79 :rule cong :premises (@p78 @p77) :args (@t401)) % 0.36/0.71 (step @p80 :rule refl :args (@t4)) % 0.36/0.71 (step @p81 :rule cong :premises (@p80 @p79) :args (@t402)) % 0.36/0.71 (step @p82 :rule refl :args (@t242)) % 0.36/0.71 (step @p83 :rule cong :premises (@p82 @p81) :args (@t403)) % 0.36/0.71 (step @p84 :rule refl :args (@t236)) % 0.36/0.71 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t404)) % 0.36/0.71 (step @p86 :rule cong :premises (@p85) :args ((forall @t157 @t404))) % 0.36/0.71 (step @p87 :rule refl :args ((tptp.in @t4 @t154))) % 0.36/0.71 (step @p88 :rule refl :args ((tptp.dsetconstr @t2 @t152))) % 0.36/0.71 (step @p89 :rule refl :args (@t253)) % 0.36/0.71 (step @p90 :rule cong :premises (@p89) :args (@t400)) % 0.36/0.71 (step @p91 :rule refl :args (@t2)) % 0.36/0.71 (step 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(@p1262 @p1232)) % 0.36/0.71 (step @p1264 :rule trans :premises (@p1263 @p1195 @p48)) % 0.36/0.71 (step @p1265 :rule eq_resolve :premises (@p26 @p1264)) % 0.36/0.71 (step @p1266 :rule not_implies_elim2 :premises (@p1265)) % 0.36/0.71 (step @p1267 :rule not_implies_elim2 :premises (@p1266)) % 0.36/0.71 (step @p1268 :rule not_implies_elim2 :premises (@p1267)) % 0.36/0.71 (step @p1269 :rule not_implies_elim2 :premises (@p1268)) % 0.36/0.71 (step @p1270 :rule not_implies_elim2 :premises (@p1269)) % 0.36/0.71 (step @p1271 :rule not_implies_elim2 :premises (@p1270)) % 0.36/0.71 (step @p1272 :rule not_implies_elim2 :premises (@p1271)) % 0.36/0.71 (step @p1273 :rule not_implies_elim2 :premises (@p1272)) % 0.36/0.71 (step @p1274 :rule not_implies_elim2 :premises (@p1273)) % 0.36/0.71 (step @p1275 :rule not_implies_elim2 :premises (@p1274)) % 0.36/0.71 (step @p1276 :rule not_implies_elim2 :premises (@p1275)) % 0.36/0.71 (step @p1277 :rule not_implies_elim2 :premises (@p1276)) % 0.36/0.71 (step @p1278 :rule not_implies_elim2 :premises (@p1277)) % 0.36/0.71 (step @p1279 :rule not_implies_elim2 :premises (@p1278)) % 0.36/0.71 (step @p1280 :rule not_implies_elim2 :premises (@p1279)) % 0.36/0.71 (step @p1281 :rule not_implies_elim2 :premises (@p1280)) % 0.36/0.71 (step @p1282 :rule not_implies_elim2 :premises (@p1281)) % 0.36/0.71 (step @p1283 :rule not_implies_elim2 :premises (@p1282)) % 0.36/0.71 (step @p1284 :rule not_implies_elim2 :premises (@p1283)) % 0.36/0.71 (step @p1285 :rule not_implies_elim2 :premises (@p1284)) % 0.36/0.71 (step @p1286 :rule not_implies_elim2 :premises (@p1285)) % 0.36/0.71 (step @p1287 :rule not_implies_elim1 :premises (@p1286)) % 0.36/0.71 (step @p1288 :rule aci_norm :args ((= @t239 @t243))) % 0.36/0.71 (step @p1289 :rule cong :premises (@p1288) :args (@t240)) % 0.36/0.71 (step @p1290 :rule true_intro :premises (@p1289)) % 0.36/0.71 (step @p1291 :rule eq-symm :args (@t244 @t240)) % 0.36/0.71 (step @p1292 :rule trans :premises (@p1291 @p1290)) % 0.36/0.71 (step @p1293 :rule true_elim :premises (@p1292)) % 0.36/0.71 (step @p1294 :rule equiv_elim1 :premises (@p1293)) % 0.36/0.71 (step @p1295 :rule reordering :premises (@p1294) :args ((or @t240 (not @t244)))) % 0.36/0.71 (step @p1296 :rule chain_m_resolution :premises (@p1295 @p1287) :args (@t240 @t696 (@list @t244))) % 0.36/0.71 (step @p1297 :rule not_implies_elim2 :premises (@p1286)) % 0.36/0.71 (step @p1298 :rule not_implies_elim2 :premises (@p1297)) % 0.36/0.71 (step @p1299 :rule not_implies_elim2 :premises (@p1298)) % 0.36/0.71 (step @p1300 false :rule chain_m_resolution :premises (@p1299 @p1296) :args (false @t696 (@list @t240))) % 0.36/0.71 ) % 0.36/0.71 % SZS output end Proof % 0.36/0.71 % cvc5 exiting %------------------------------------------------------------------------------