%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU533^1 : 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 : n004.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 08:52:05 AM UTC 2026 % Result : Theorem 0.37s 0.75s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU533^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:40:53 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.52 %----Proving TH0 % 0.37/0.75 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.75 % SZS status Theorem % 0.37/0.75 % SZS output start Proof % 0.37/0.75 ( % 0.37/0.75 (declare-sort $$unsorted 0) % 0.37/0.75 (declare-const tptp.emptyset $$unsorted) % 0.37/0.75 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.75 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.37/0.75 (declare-const tptp.upairsetIL Bool) % 0.37/0.75 (declare-const tptp.upairsetE Bool) % 0.37/0.75 (declare-const tptp.notinsingleton Bool) % 0.37/0.75 (declare-const tptp.subPowSU Bool) % 0.37/0.75 (declare-const tptp.setunionE Bool) % 0.37/0.75 (declare-const tptp.setunionI Bool) % 0.37/0.75 (declare-const tptp.powersetE Bool) % 0.37/0.75 (declare-const tptp.emptyInPowerset Bool) % 0.37/0.75 (declare-const tptp.setoftrueEq Bool) % 0.37/0.75 (declare-const tptp.uniqinunit Bool) % 0.37/0.75 (declare-const tptp.setadjoinOr Bool) % 0.37/0.75 (declare-const tptp.setadjoinE Bool) % 0.37/0.75 (declare-const tptp.emptyinunitempty Bool) % 0.37/0.75 (declare-const tptp.nonemptyI1 Bool) % 0.37/0.75 (declare-const tptp.nonemptyI Bool) % 0.37/0.75 (declare-const tptp.nonemptyE1 Bool) % 0.37/0.75 (declare-const tptp.noeltsimpempty Bool) % 0.37/0.75 (declare-const tptp.emptyI Bool) % 0.37/0.75 (declare-const tptp.omegaIndAx Bool) % 0.37/0.75 (declare-const tptp.omega0Ax Bool) % 0.37/0.75 (declare-const tptp.setadjoinIL Bool) % 0.37/0.75 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.37/0.75 (declare-const tptp.powersetAx Bool) % 0.37/0.75 (declare-const tptp.nonemptyImpWitness Bool) % 0.37/0.75 (declare-const tptp.omegaSAx Bool) % 0.37/0.75 (declare-const tptp.setext Bool) % 0.37/0.75 (declare-const tptp.setadjoinAx Bool) % 0.37/0.75 (declare-const tptp.powersetI Bool) % 0.37/0.75 (declare-const tptp.setbeta Bool) % 0.37/0.75 (declare-const tptp.dsetconstrER Bool) % 0.37/0.75 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.75 (declare-const tptp.exuE2 Bool) % 0.37/0.75 (declare-const tptp.setadjoinIR Bool) % 0.37/0.75 (declare-const tptp.notinemptyset Bool) % 0.37/0.75 (declare-const tptp.foundationAx Bool) % 0.37/0.75 (declare-const tptp.setextAx Bool) % 0.37/0.75 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.75 (declare-const tptp.emptysetAx Bool) % 0.37/0.75 (declare-const tptp.dsetconstrEL Bool) % 0.37/0.75 (declare-const tptp.eqinunit Bool) % 0.37/0.75 (declare-const tptp.replAx Bool) % 0.37/0.75 (declare-const tptp.emptysetimpfalse Bool) % 0.37/0.75 (declare-const tptp.wellorderingAx Bool) % 0.37/0.75 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.37/0.75 (declare-const tptp.emptyinPowerset Bool) % 0.37/0.75 (declare-const tptp.exuE1 Bool) % 0.37/0.75 (declare-const tptp.descrp Bool) % 0.37/0.75 (declare-const tptp.dsetconstrI Bool) % 0.37/0.75 (declare-const tptp.singletonsswitch Bool) % 0.37/0.75 (declare-const tptp.omega $$unsorted) % 0.37/0.75 (declare-const tptp.exuE3e Bool) % 0.37/0.75 (declare-const tptp.prop2setE Bool) % 0.37/0.75 (declare-const tptp.setunionAx Bool) % 0.37/0.75 (declare-const tptp.emptysetE Bool) % 0.37/0.75 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.37/0.75 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.37/0.75 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.37/0.75 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.75 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.75 (define @t3 () (= @t2 @t1)) % 0.37/0.75 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.75 (define @t5 () (_ tptp.in @t4)) % 0.37/0.75 (define @t6 () (_ @t5 @t1)) % 0.37/0.75 (define @t7 () (_ @t5 @t2)) % 0.37/0.75 (define @t8 () (= @t7 @t6)) % 0.37/0.75 (define @t9 () (@list @t4)) % 0.37/0.75 (define @t10 () (forall @t9 @t8)) % 0.37/0.75 (define @t11 () (=> @t10 @t3)) % 0.37/0.75 (define @t12 () (@list @t2 @t1)) % 0.37/0.75 (define @t13 () (forall @t12 @t11)) % 0.37/0.75 (define @t14 () (= tptp.setextAx @t13)) % 0.37/0.75 (define @t15 () (_ @t5 tptp.emptyset)) % 0.37/0.75 (define @t16 () (not @t15)) % 0.37/0.75 (define @t17 () (forall @t9 @t16)) % 0.37/0.75 (define @t18 () (= tptp.emptysetAx @t17)) % 0.37/0.75 (define @t19 () (@var "Xy" $$unsorted)) % 0.37/0.75 (define @t20 () (_ tptp.in @t19)) % 0.37/0.75 (define @t21 () (_ @t20 @t2)) % 0.37/0.75 (define @t22 () (= @t19 @t4)) % 0.37/0.75 (define @t23 () (or @t22 @t21)) % 0.37/0.75 (define @t24 () (_ tptp.setadjoin @t4)) % 0.37/0.75 (define @t25 () (_ @t24 @t2)) % 0.37/0.75 (define @t26 () (_ @t20 @t25)) % 0.37/0.75 (define @t27 () (= @t26 @t23)) % 0.37/0.75 (define @t28 () (@list @t4 @t2 @t19)) % 0.37/0.75 (define @t29 () (forall @t28 @t27)) % 0.37/0.75 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.37/0.75 (define @t31 () (=> @t6 @t7)) % 0.37/0.75 (define @t32 () (forall @t9 @t31)) % 0.37/0.75 (define @t33 () (_ tptp.powerset @t2)) % 0.37/0.75 (define @t34 () (_ tptp.in @t1)) % 0.37/0.75 (define @t35 () (_ @t34 @t33)) % 0.37/0.75 (define @t36 () (= @t35 @t32)) % 0.37/0.75 (define @t37 () (forall @t12 @t36)) % 0.37/0.75 (define @t38 () (= tptp.powersetAx @t37)) % 0.37/0.75 (define @t39 () (_ @t34 @t2)) % 0.37/0.75 (define @t40 () (and @t6 @t39)) % 0.37/0.75 (define @t41 () (@list @t1)) % 0.37/0.75 (define @t42 () (exists @t41 @t40)) % 0.37/0.75 (define @t43 () (_ tptp.setunion @t2)) % 0.37/0.75 (define @t44 () (_ @t5 @t43)) % 0.37/0.75 (define @t45 () (= @t44 @t42)) % 0.37/0.75 (define @t46 () (@list @t2 @t4)) % 0.37/0.75 (define @t47 () (forall @t46 @t45)) % 0.37/0.75 (define @t48 () (= tptp.setunionAx @t47)) % 0.37/0.75 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.37/0.75 (define @t50 () (_ @t49 tptp.omega)) % 0.37/0.75 (define @t51 () (_ @t24 @t4)) % 0.37/0.75 (define @t52 () (_ tptp.in @t51)) % 0.37/0.75 (define @t53 () (_ @t52 tptp.omega)) % 0.37/0.75 (define @t54 () (_ @t5 tptp.omega)) % 0.37/0.75 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.37/0.75 (define @t56 () (= tptp.omegaSAx @t55)) % 0.37/0.75 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.37/0.75 (define @t58 () (_ @t52 @t2)) % 0.37/0.75 (define @t59 () (and @t54 @t7)) % 0.37/0.75 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.37/0.75 (define @t61 () (_ @t49 @t2)) % 0.37/0.75 (define @t62 () (and @t61 @t60)) % 0.37/0.75 (define @t63 () (=> @t62 @t57)) % 0.37/0.75 (define @t64 () (@list @t2)) % 0.37/0.75 (define @t65 () (forall @t64 @t63)) % 0.37/0.75 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.37/0.75 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.37/0.75 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.37/0.75 (define @t69 () (and @t21 @t68)) % 0.37/0.75 (define @t70 () (@list @t19)) % 0.37/0.75 (define @t71 () (exists @t70 @t69)) % 0.37/0.75 (define @t72 () (= @t6 @t71)) % 0.37/0.75 (define @t73 () (forall @t9 @t72)) % 0.37/0.75 (define @t74 () (exists @t41 @t73)) % 0.37/0.75 (define @t75 () (_ @t67 @t4)) % 0.37/0.75 (define @t76 () (_ @t75 @t19)) % 0.37/0.75 (define @t77 () (lambda @t70 @t76)) % 0.37/0.75 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.37/0.75 (define @t79 () (forall @t9 @t78)) % 0.37/0.75 (define @t80 () (=> @t79 @t74)) % 0.37/0.75 (define @t81 () (@list @t67 @t2)) % 0.37/0.75 (define @t82 () (forall @t81 @t80)) % 0.37/0.75 (define @t83 () (= tptp.replAx @t82)) % 0.37/0.75 (define @t84 () (and @t6 @t7)) % 0.37/0.75 (define @t85 () (exists @t9 @t84)) % 0.37/0.75 (define @t86 () (not @t85)) % 0.37/0.75 (define @t87 () (and @t39 @t86)) % 0.37/0.75 (define @t88 () (exists @t41 @t87)) % 0.37/0.75 (define @t89 () (exists @t9 @t7)) % 0.37/0.75 (define @t90 () (=> @t89 @t88)) % 0.37/0.75 (define @t91 () (forall @t64 @t90)) % 0.37/0.75 (define @t92 () (= tptp.foundationAx @t91)) % 0.37/0.75 (define @t93 () (@var "E" $$unsorted)) % 0.37/0.75 (define @t94 () (_ @t5 @t93)) % 0.37/0.75 (define @t95 () (@var "D" $$unsorted)) % 0.37/0.75 (define @t96 () (_ @t20 @t95)) % 0.37/0.75 (define @t97 () (_ @t20 @t93)) % 0.37/0.75 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.37/0.75 (define @t99 () (or @t98 @t94)) % 0.37/0.75 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.37/0.75 (define @t101 () (=> @t100 @t99)) % 0.37/0.75 (define @t102 () (@list @t93)) % 0.37/0.75 (define @t103 () (forall @t102 @t101)) % 0.37/0.75 (define @t104 () (@var "C" $$unsorted)) % 0.37/0.75 (define @t105 () (_ @t20 @t104)) % 0.37/0.75 (define @t106 () (and @t96 @t105)) % 0.37/0.75 (define @t107 () (exists @t70 @t106)) % 0.37/0.75 (define @t108 () (not @t107)) % 0.37/0.75 (define @t109 () (_ @t5 @t104)) % 0.37/0.75 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.37/0.75 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.37/0.75 (define @t112 () (@list @t95 @t4)) % 0.37/0.75 (define @t113 () (exists @t112 @t111)) % 0.37/0.75 (define @t114 () (exists @t9 @t109)) % 0.37/0.75 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.37/0.75 (define @t116 () (and @t115 @t114)) % 0.37/0.75 (define @t117 () (=> @t116 @t113)) % 0.37/0.75 (define @t118 () (@list @t104)) % 0.37/0.75 (define @t119 () (forall @t118 @t117)) % 0.37/0.75 (define @t120 () (_ @t5 @t95)) % 0.37/0.75 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.37/0.75 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.37/0.75 (define @t123 () (or @t122 @t121)) % 0.37/0.75 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.37/0.75 (define @t125 () (and @t124 @t110)) % 0.37/0.75 (define @t126 () (=> @t125 @t123)) % 0.37/0.75 (define @t127 () (@list @t104 @t95)) % 0.37/0.75 (define @t128 () (forall @t127 @t126)) % 0.37/0.75 (define @t129 () (= @t4 @t19)) % 0.37/0.75 (define @t130 () (= @t109 @t105)) % 0.37/0.75 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.37/0.75 (define @t132 () (=> @t131 @t129)) % 0.37/0.75 (define @t133 () (and @t7 @t21)) % 0.37/0.75 (define @t134 () (=> @t133 @t132)) % 0.37/0.75 (define @t135 () (@list @t4 @t19)) % 0.37/0.75 (define @t136 () (forall @t135 @t134)) % 0.37/0.75 (define @t137 () (=> @t124 @t115)) % 0.37/0.75 (define @t138 () (forall @t118 @t137)) % 0.37/0.75 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.37/0.75 (define @t140 () (exists @t41 @t139)) % 0.37/0.75 (define @t141 () (forall @t64 @t140)) % 0.37/0.75 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.37/0.75 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.37/0.75 (define @t144 () (_ @t143 @t4)) % 0.37/0.75 (define @t145 () (lambda @t9 @t144)) % 0.37/0.75 (define @t146 () (_ tptp.descr @t145)) % 0.37/0.75 (define @t147 () (_ @t143 @t146)) % 0.37/0.75 (define @t148 () (_ tptp.exu @t145)) % 0.37/0.75 (define @t149 () (=> @t148 @t147)) % 0.37/0.75 (define @t150 () (@list @t143)) % 0.37/0.75 (define @t151 () (forall @t150 @t149)) % 0.37/0.75 (define @t152 () (= tptp.descrp @t151)) % 0.37/0.75 (define @t153 () (_ @t143 @t19)) % 0.37/0.75 (define @t154 () (lambda @t70 @t153)) % 0.37/0.75 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.37/0.75 (define @t156 () (_ @t155 @t154)) % 0.37/0.75 (define @t157 () (_ @t5 @t156)) % 0.37/0.75 (define @t158 () (=> @t144 @t157)) % 0.37/0.75 (define @t159 () (@list @t2 @t143 @t4)) % 0.37/0.75 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.37/0.75 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.37/0.75 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.37/0.75 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.37/0.75 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.37/0.75 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.37/0.75 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.37/0.75 (define @t167 () (and @t144 @t166)) % 0.37/0.75 (define @t168 () (exists @t9 @t167)) % 0.37/0.75 (define @t169 () (=> @t148 @t168)) % 0.37/0.75 (define @t170 () (forall @t150 @t169)) % 0.37/0.75 (define @t171 () (= tptp.exuE1 @t170)) % 0.37/0.75 (define @t172 () (@var "Xphi" Bool)) % 0.37/0.75 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 0.37/0.75 (define @t174 () (@list @t172 @t4)) % 0.37/0.75 (define @t175 () (forall @t174 @t173)) % 0.37/0.75 (define @t176 () (= tptp.prop2setE @t175)) % 0.37/0.75 (define @t177 () (@list @t172)) % 0.37/0.75 (define @t178 () (forall @t177 @t172)) % 0.37/0.75 (define @t179 () (=> @t15 @t178)) % 0.37/0.75 (define @t180 () (forall @t9 @t179)) % 0.37/0.75 (define @t181 () (= tptp.emptysetE @t180)) % 0.37/0.75 (define @t182 () (forall @t9 (=> @t15 false))) % 0.37/0.75 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 0.37/0.75 (define @t184 () (exists @t9 @t144)) % 0.37/0.75 (define @t185 () (=> @t148 @t184)) % 0.37/0.75 (define @t186 () (forall @t150 @t185)) % 0.37/0.75 (define @t187 () (= tptp.exuE3e @t186)) % 0.37/0.75 (define @t188 () (=> @t32 @t3)) % 0.37/0.75 (define @t189 () (forall @t9 (=> @t7 @t6))) % 0.37/0.75 (define @t190 () (=> @t189 @t188)) % 0.37/0.75 (define @t191 () (forall @t12 @t190)) % 0.37/0.75 (define @t192 () (= tptp.setext @t191)) % 0.37/0.75 (define @t193 () (= @t2 tptp.emptyset)) % 0.37/0.75 (define @t194 () (not @t7)) % 0.37/0.75 (define @t195 () (forall @t9 @t194)) % 0.37/0.75 (define @t196 () (=> @t195 @t193)) % 0.37/0.75 (define @t197 () (forall @t64 @t196)) % 0.37/0.75 (define @t198 () (= tptp.emptyI @t197)) % 0.37/0.75 (define @t199 () (=> @t7 (= @t157 @t144))) % 0.37/0.75 (define @t200 () (forall @t159 @t199)) % 0.37/0.75 (define @t201 () (= tptp.setbeta @t200)) % 0.37/0.75 (define @t202 () (_ tptp.nonempty @t2)) % 0.37/0.75 (define @t203 () (=> @t202 @t89)) % 0.37/0.75 (define @t204 () (forall @t64 @t203)) % 0.37/0.75 (define @t205 () (= tptp.nonemptyE1 @t204)) % 0.37/0.75 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 0.37/0.75 (define @t207 () (=> @t7 @t206)) % 0.37/0.75 (define @t208 () (forall @t159 @t207)) % 0.37/0.75 (define @t209 () (= tptp.nonemptyI @t208)) % 0.37/0.75 (define @t210 () (=> @t89 @t202)) % 0.37/0.75 (define @t211 () (forall @t64 @t210)) % 0.37/0.75 (define @t212 () (= tptp.nonemptyI1 @t211)) % 0.37/0.75 (define @t213 () (_ @t24 @t19)) % 0.37/0.75 (define @t214 () (_ @t5 @t213)) % 0.37/0.75 (define @t215 () (forall @t135 @t214)) % 0.37/0.75 (define @t216 () (= tptp.setadjoinIL @t215)) % 0.37/0.75 (define @t217 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.37/0.75 (define @t218 () (_ @t49 @t217)) % 0.37/0.75 (define @t219 () (forall @t28 (=> @t21 @t26))) % 0.37/0.75 (define @t220 () (= tptp.setadjoinIR @t219)) % 0.37/0.75 (define @t221 () (=> @t21 @t172)) % 0.37/0.75 (define @t222 () (=> @t221 @t172)) % 0.37/0.75 (define @t223 () (=> @t22 @t172)) % 0.37/0.75 (define @t224 () (=> @t223 @t222)) % 0.37/0.75 (define @t225 () (forall @t177 @t224)) % 0.37/0.75 (define @t226 () (=> @t26 @t225)) % 0.37/0.75 (define @t227 () (forall @t28 @t226)) % 0.37/0.75 (define @t228 () (= tptp.setadjoinE @t227)) % 0.37/0.75 (define @t229 () (=> @t26 @t23)) % 0.37/0.75 (define @t230 () (forall @t28 @t229)) % 0.37/0.75 (define @t231 () (= tptp.setadjoinOr @t230)) % 0.37/0.75 (define @t232 () (lambda @t9 true)) % 0.37/0.75 (define @t233 () (= (_ @t155 @t232) @t2)) % 0.37/0.75 (define @t234 () (forall @t64 @t233)) % 0.37/0.75 (define @t235 () (= tptp.setoftrueEq @t234)) % 0.37/0.75 (define @t236 () (=> @t32 @t35)) % 0.37/0.75 (define @t237 () (forall @t12 @t236)) % 0.37/0.75 (define @t238 () (= tptp.powersetI @t237)) % 0.37/0.75 (define @t239 () (_ @t49 @t33)) % 0.37/0.75 (define @t240 () (forall @t64 @t239)) % 0.37/0.75 (define @t241 () (= tptp.emptyinPowerset @t240)) % 0.37/0.75 (define @t242 () (@list @t2 @t1 @t4)) % 0.37/0.75 (define @t243 () (forall @t242 (=> @t35 @t31))) % 0.37/0.75 (define @t244 () (= tptp.powersetE @t243)) % 0.37/0.75 (define @t245 () (=> @t39 @t44)) % 0.37/0.75 (define @t246 () (@list @t2 @t4 @t1)) % 0.37/0.75 (define @t247 () (forall @t246 (=> @t6 @t245))) % 0.37/0.75 (define @t248 () (= tptp.setunionI @t247)) % 0.37/0.75 (define @t249 () (=> @t39 @t172)) % 0.37/0.75 (define @t250 () (forall @t41 (=> @t6 @t249))) % 0.37/0.75 (define @t251 () (=> @t250 @t172)) % 0.37/0.75 (define @t252 () (forall @t177 @t251)) % 0.37/0.75 (define @t253 () (=> @t44 @t252)) % 0.37/0.75 (define @t254 () (forall @t46 @t253)) % 0.37/0.75 (define @t255 () (= tptp.setunionE @t254)) % 0.37/0.75 (define @t256 () (_ tptp.powerset @t43)) % 0.37/0.75 (define @t257 () (_ @t5 @t256)) % 0.37/0.75 (define @t258 () (forall @t46 (=> @t7 @t257))) % 0.37/0.75 (define @t259 () (= tptp.subPowSU @t258)) % 0.37/0.75 (define @t260 () (= @t153 @t22)) % 0.37/0.75 (define @t261 () (forall @t70 @t260)) % 0.37/0.75 (define @t262 () (exists @t9 @t261)) % 0.37/0.75 (define @t263 () (=> @t148 @t262)) % 0.37/0.75 (define @t264 () (forall @t150 @t263)) % 0.37/0.75 (define @t265 () (= tptp.exuE2 @t264)) % 0.37/0.75 (define @t266 () (and @t7 true)) % 0.37/0.75 (define @t267 () (exists @t9 @t266)) % 0.37/0.75 (define @t268 () (=> @t202 @t267)) % 0.37/0.75 (define @t269 () (forall @t64 @t268)) % 0.37/0.75 (define @t270 () (= tptp.nonemptyImpWitness @t269)) % 0.37/0.75 (define @t271 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 0.37/0.75 (define @t272 () (_ @t5 @t271)) % 0.37/0.75 (define @t273 () (forall @t135 (=> @t272 @t129))) % 0.37/0.75 (define @t274 () (= tptp.uniqinunit @t273)) % 0.37/0.75 (define @t275 () (_ @t24 tptp.emptyset)) % 0.37/0.75 (define @t276 () (_ @t20 @t275)) % 0.37/0.75 (define @t277 () (not @t276)) % 0.37/0.75 (define @t278 () (not @t129)) % 0.37/0.75 (define @t279 () (forall @t135 (=> @t278 @t277))) % 0.37/0.75 (define @t280 () (= tptp.notinsingleton @t279)) % 0.37/0.75 (define @t281 () (forall @t135 (=> @t129 @t272))) % 0.37/0.75 (define @t282 () (= tptp.eqinunit @t281)) % 0.37/0.75 (define @t283 () (forall @t135 (=> @t272 @t276))) % 0.37/0.75 (define @t284 () (= tptp.singletonsswitch @t283)) % 0.37/0.75 (define @t285 () (@var "Xz" $$unsorted)) % 0.37/0.75 (define @t286 () (or (= @t285 @t4) (= @t285 @t19))) % 0.37/0.75 (define @t287 () (_ @t24 @t271)) % 0.37/0.75 (define @t288 () (_ tptp.in @t285)) % 0.37/0.75 (define @t289 () (_ @t288 @t287)) % 0.37/0.75 (define @t290 () (=> @t289 @t286)) % 0.37/0.75 (define @t291 () (@list @t4 @t19 @t285)) % 0.37/0.75 (define @t292 () (forall @t291 @t290)) % 0.37/0.75 (define @t293 () (= tptp.upairsetE @t292)) % 0.37/0.75 (define @t294 () (_ @t5 @t287)) % 0.37/0.75 (define @t295 () (forall @t135 @t294)) % 0.37/0.75 (define @t296 () (= tptp.upairsetIL @t295)) % 0.37/0.75 (define @t297 () (_ @t20 @t287)) % 0.37/0.75 (define @t298 () (forall @t135 @t297)) % 0.37/0.75 (define @t299 () (=> tptp.upairsetIL @t298)) % 0.37/0.75 (define @t300 () (=> tptp.upairsetE @t299)) % 0.37/0.75 (define @t301 () (=> tptp.singletonsswitch @t300)) % 0.37/0.75 (define @t302 () (=> tptp.eqinunit @t301)) % 0.37/0.75 (define @t303 () (=> tptp.notinsingleton @t302)) % 0.37/0.75 (define @t304 () (=> tptp.uniqinunit @t303)) % 0.37/0.75 (define @t305 () (=> tptp.nonemptyImpWitness @t304)) % 0.37/0.75 (define @t306 () (=> tptp.exuE2 @t305)) % 0.37/0.75 (define @t307 () (=> tptp.subPowSU @t306)) % 0.37/0.75 (define @t308 () (=> tptp.setunionE @t307)) % 0.37/0.75 (define @t309 () (=> tptp.setunionI @t308)) % 0.37/0.75 (define @t310 () (=> tptp.powersetE @t309)) % 0.37/0.75 (define @t311 () (=> tptp.emptyInPowerset @t310)) % 0.37/0.75 (define @t312 () (=> tptp.emptyinPowerset @t311)) % 0.37/0.75 (define @t313 () (=> tptp.powersetI @t312)) % 0.37/0.75 (define @t314 () (=> tptp.setoftrueEq @t313)) % 0.37/0.75 (define @t315 () (=> tptp.setadjoinOr @t314)) % 0.37/0.75 (define @t316 () (=> tptp.setadjoinE @t315)) % 0.37/0.75 (define @t317 () (=> tptp.setadjoinIR @t316)) % 0.37/0.75 (define @t318 () (=> tptp.emptyinunitempty @t317)) % 0.37/0.75 (define @t319 () (=> tptp.setadjoinIL @t318)) % 0.37/0.75 (define @t320 () (=> tptp.nonemptyI1 @t319)) % 0.37/0.75 (define @t321 () (=> tptp.nonemptyI @t320)) % 0.37/0.75 (define @t322 () (=> tptp.nonemptyE1 @t321)) % 0.37/0.75 (define @t323 () (=> tptp.setbeta @t322)) % 0.37/0.75 (define @t324 () (=> tptp.noeltsimpempty @t323)) % 0.37/0.75 (define @t325 () (=> tptp.emptyI @t324)) % 0.37/0.75 (define @t326 () (=> tptp.setext @t325)) % 0.37/0.75 (define @t327 () (=> tptp.exuE3e @t326)) % 0.37/0.75 (define @t328 () (=> tptp.notinemptyset @t327)) % 0.37/0.75 (define @t329 () (=> tptp.emptysetimpfalse @t328)) % 0.37/0.75 (define @t330 () (=> tptp.emptysetE @t329)) % 0.37/0.75 (define @t331 () (=> tptp.prop2setE @t330)) % 0.37/0.75 (define @t332 () (=> tptp.exuE1 @t331)) % 0.37/0.75 (define @t333 () (=> tptp.dsetconstrER @t332)) % 0.37/0.75 (define @t334 () (=> tptp.dsetconstrEL @t333)) % 0.37/0.75 (define @t335 () (=> tptp.dsetconstrI @t334)) % 0.37/0.75 (define @t336 () (=> tptp.descrp @t335)) % 0.37/0.75 (define @t337 () (=> tptp.wellorderingAx @t336)) % 0.37/0.75 (define @t338 () (=> tptp.foundationAx @t337)) % 0.37/0.75 (define @t339 () (=> tptp.replAx @t338)) % 0.37/0.75 (define @t340 () (=> tptp.omegaIndAx @t339)) % 0.37/0.75 (define @t341 () (=> tptp.omegaSAx @t340)) % 0.37/0.75 (define @t342 () (=> tptp.omega0Ax @t341)) % 0.37/0.75 (define @t343 () (=> tptp.setunionAx @t342)) % 0.37/0.75 (define @t344 () (=> tptp.powersetAx @t343)) % 0.37/0.75 (define @t345 () (=> tptp.setadjoinAx @t344)) % 0.37/0.75 (define @t346 () (=> tptp.emptysetAx @t345)) % 0.37/0.75 (define @t347 () (=> tptp.setextAx @t346)) % 0.37/0.75 (define @t348 () (not @t347)) % 0.37/0.75 (define @t349 () (lambda @t150 @t168)) % 0.37/0.75 (define @t350 () (lambda @t9 @t172)) % 0.37/0.75 (define @t351 () (_ tptp.powerset tptp.emptyset)) % 0.37/0.75 (define @t352 () (_ tptp.dsetconstr @t351)) % 0.37/0.75 (define @t353 () (_ @t352 @t350)) % 0.37/0.75 (define @t354 () (lambda @t177 @t353)) % 0.37/0.75 (define @t355 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.37/0.75 (define @t356 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.37/0.75 (define @t357 () (tptp.setadjoin @t4 @t356)) % 0.37/0.75 (define @t358 () (tptp.in @t19 @t357)) % 0.37/0.75 (define @t359 () (forall @t135 @t358)) % 0.37/0.75 (define @t360 () (tptp.in @t4 @t357)) % 0.37/0.75 (define @t361 () (= @t19 @t285)) % 0.37/0.75 (define @t362 () (= @t4 @t285)) % 0.37/0.75 (define @t363 () (tptp.in @t285 @t357)) % 0.37/0.75 (define @t364 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.37/0.75 (define @t365 () (tptp.in @t19 @t364)) % 0.37/0.75 (define @t366 () (tptp.in @t4 @t356)) % 0.37/0.75 (define @t367 () (not @t366)) % 0.37/0.75 (define @t368 () (tptp.in @t19 @t356)) % 0.37/0.75 (define @t369 () (tptp.in @t4 @t2)) % 0.37/0.75 (define @t370 () (not @t369)) % 0.37/0.75 (define @t371 () (forall @t9 @t370)) % 0.37/0.75 (define @t372 () (not @t371)) % 0.37/0.75 (define @t373 () (forall @t64 (or @t193 @t372))) % 0.37/0.75 (define @t374 () (@var "BOUND_VARIABLE_8746" $$unsorted)) % 0.37/0.75 (define @t375 () (_ @t143 @t19)) % 0.37/0.75 (define @t376 () (not @t375)) % 0.37/0.75 (define @t377 () (not (_ @t143 @t374))) % 0.37/0.75 (define @t378 () (forall @t70 (= @t129 @t375))) % 0.37/0.75 (define @t379 () (not (forall @t9 (not @t378)))) % 0.37/0.75 (define @t380 () (@list @t143 @t374)) % 0.37/0.75 (define @t381 () (tptp.setunion @t2)) % 0.37/0.75 (define @t382 () (tptp.powerset @t381)) % 0.37/0.75 (define @t383 () (tptp.in @t4 @t382)) % 0.37/0.75 (define @t384 () (tptp.in @t1 @t2)) % 0.37/0.75 (define @t385 () (not @t384)) % 0.37/0.75 (define @t386 () (tptp.in @t4 @t1)) % 0.37/0.75 (define @t387 () (not @t386)) % 0.37/0.75 (define @t388 () (forall @t41 (or @t387 @t385))) % 0.37/0.75 (define @t389 () (not @t388)) % 0.37/0.75 (define @t390 () (tptp.in @t4 @t381)) % 0.37/0.75 (define @t391 () (tptp.powerset @t2)) % 0.37/0.75 (define @t392 () (tptp.in @t1 @t391)) % 0.37/0.75 (define @t393 () (tptp.in tptp.emptyset @t391)) % 0.37/0.75 (define @t394 () (forall @t64 @t393)) % 0.37/0.75 (define @t395 () (forall @t9 (or @t387 @t369))) % 0.37/0.75 (define @t396 () (not @t395)) % 0.37/0.75 (define @t397 () (@var "BOUND_VARIABLE_16576" $$unsorted)) % 0.37/0.75 (define @t398 () (lambda (@list @t397) true)) % 0.37/0.75 (define @t399 () (tptp.dsetconstr @t2 @t398)) % 0.37/0.75 (define @t400 () (tptp.in @t19 @t2)) % 0.37/0.75 (define @t401 () (tptp.setadjoin @t4 @t2)) % 0.37/0.75 (define @t402 () (tptp.in @t19 @t401)) % 0.37/0.75 (define @t403 () (forall @t28 (or (not @t402) @t129 @t400))) % 0.37/0.75 (define @t404 () (not @t400)) % 0.37/0.75 (define @t405 () (=> (forall @t28 (or @t404 @t402)) (=> @t403 (=> @t403 (=> (forall @t64 (= @t2 @t399)) (=> (forall @t12 (or @t396 @t392)) (=> @t394 (=> @t394 (=> (forall @t242 (or (not @t392) @t387 @t369)) (=> (forall @t246 (or @t387 @t385 @t390)) (=> (forall @t46 (or (not @t390) @t389)) (=> (forall @t46 (or @t370 @t383)) (=> (forall @t380 (or @t379 @t377 (not (forall @t70 (or @t376 (= @t19 @t374)))))) (=> @t373 (=> (forall @t135 (or @t367 @t129)) (=> (forall @t135 (or @t129 (not @t365))) (=> (forall @t70 @t368) (=> (forall @t135 (or @t367 @t365)) (=> (forall @t291 (or (not @t363) @t362 @t361)) (=> (forall @t135 @t360) @t359)))))))))))))))))))) % 0.37/0.75 (define @t406 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.37/0.75 (define @t407 () (tptp.in tptp.emptyset @t406)) % 0.37/0.75 (define @t408 () (=> @t218 @t405)) % 0.37/0.75 (define @t409 () (tptp.setadjoin @t4 @t19)) % 0.37/0.75 (define @t410 () (tptp.in @t4 @t409)) % 0.37/0.75 (define @t411 () (forall @t135 @t410)) % 0.37/0.75 (define @t412 () (=> @t411 @t408)) % 0.37/0.75 (define @t413 () (@var "BOUND_VARIABLE_8587" $$unsorted)) % 0.37/0.75 (define @t414 () (not (tptp.in @t413 tptp.emptyset))) % 0.37/0.75 (define @t415 () (@list @t413)) % 0.37/0.75 (define @t416 () (forall @t415 @t414)) % 0.37/0.75 (define @t417 () (=> @t416 @t412)) % 0.37/0.75 (define @t418 () (tptp.dsetconstr @t2 @t143)) % 0.37/0.75 (define @t419 () (_ @t143 @t4)) % 0.37/0.75 (define @t420 () (not @t419)) % 0.37/0.75 (define @t421 () (forall @t159 (or @t370 @t420 (not (= tptp.emptyset @t418))))) % 0.37/0.75 (define @t422 () (=> @t421 @t417)) % 0.37/0.75 (define @t423 () (=> @t373 @t422)) % 0.37/0.75 (define @t424 () (tptp.in @t4 @t418)) % 0.37/0.75 (define @t425 () (forall @t159 (or @t370 (= @t419 @t424)))) % 0.37/0.75 (define @t426 () (=> @t425 @t423)) % 0.37/0.75 (define @t427 () (forall @t64 (or @t372 @t193))) % 0.37/0.75 (define @t428 () (=> @t427 @t426)) % 0.37/0.75 (define @t429 () (=> @t427 @t428)) % 0.37/0.75 (define @t430 () (forall @t9 (or @t370 @t386))) % 0.37/0.75 (define @t431 () (not @t430)) % 0.37/0.75 (define @t432 () (or @t431 @t396 @t3)) % 0.37/0.75 (define @t433 () (forall @t12 @t432)) % 0.37/0.75 (define @t434 () (=> @t433 @t429)) % 0.37/0.75 (define @t435 () (@var "BOUND_VARIABLE_8484" $$unsorted)) % 0.37/0.75 (define @t436 () (not (_ @t143 @t435))) % 0.37/0.75 (define @t437 () (not (forall @t9 @t420))) % 0.37/0.75 (define @t438 () (@list @t143 @t435)) % 0.37/0.75 (define @t439 () (forall @t438 (or @t437 @t436 (not (forall @t70 (or @t376 (= @t19 @t435))))))) % 0.37/0.75 (define @t440 () (=> @t439 @t434)) % 0.37/0.75 (define @t441 () (tptp.in @t4 tptp.emptyset)) % 0.37/0.75 (define @t442 () (forall @t9 (not @t441))) % 0.37/0.75 (define @t443 () (=> @t442 @t440)) % 0.37/0.75 (define @t444 () (=> @t442 @t443)) % 0.37/0.75 (define @t445 () (=> @t442 @t444)) % 0.37/0.75 (define @t446 () (@var "BOUND_VARIABLE_10553" $$unsorted)) % 0.37/0.75 (define @t447 () (lambda (@list @t446) false)) % 0.37/0.75 (define @t448 () (tptp.powerset tptp.emptyset)) % 0.37/0.75 (define @t449 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t448 @t447))))) % 0.37/0.75 (define @t450 () (=> @t449 @t445)) % 0.37/0.75 (define @t451 () (not @t424)) % 0.37/0.75 (define @t452 () (forall @t159 (or @t451 @t419))) % 0.37/0.75 (define @t453 () (=> @t452 @t450)) % 0.37/0.75 (define @t454 () (forall @t159 (or @t451 @t369))) % 0.37/0.75 (define @t455 () (=> @t454 @t453)) % 0.37/0.75 (define @t456 () (forall @t159 (or @t370 @t420 @t424))) % 0.37/0.75 (define @t457 () (=> @t456 @t455)) % 0.37/0.75 (define @t458 () (@var "BOUND_VARIABLE_8355" $$unsorted)) % 0.37/0.75 (define @t459 () (not (_ @t143 @t458))) % 0.37/0.75 (define @t460 () (_ @t143 (tptp.descr @t143))) % 0.37/0.75 (define @t461 () (@list @t143 @t458)) % 0.37/0.75 (define @t462 () (forall @t461 (or @t460 @t459 (not (forall @t70 (or @t376 (= @t19 @t458))))))) % 0.37/0.75 (define @t463 () (=> @t462 @t457)) % 0.37/0.75 (define @t464 () (@var "BOUND_VARIABLE_8275" $$unsorted)) % 0.37/0.75 (define @t465 () (tptp.in @t464 @t95)) % 0.37/0.75 (define @t466 () (not (tptp.in @t464 @t93))) % 0.37/0.75 (define @t467 () (tptp.in @t4 @t93)) % 0.37/0.75 (define @t468 () (tptp.in @t93 @t1)) % 0.37/0.75 (define @t469 () (not @t468)) % 0.37/0.75 (define @t470 () (or @t469 @t467 @t466 @t465)) % 0.37/0.75 (define @t471 () (@list @t93 @t464)) % 0.37/0.75 (define @t472 () (forall @t471 @t470)) % 0.37/0.75 (define @t473 () (not @t472)) % 0.37/0.75 (define @t474 () (tptp.in @t19 @t104)) % 0.37/0.75 (define @t475 () (tptp.in @t19 @t95)) % 0.37/0.75 (define @t476 () (forall @t70 (or (not @t475) (not @t474)))) % 0.37/0.75 (define @t477 () (not @t476)) % 0.37/0.75 (define @t478 () (tptp.in @t4 @t104)) % 0.37/0.75 (define @t479 () (not @t478)) % 0.37/0.75 (define @t480 () (tptp.in @t95 @t1)) % 0.37/0.75 (define @t481 () (not @t480)) % 0.37/0.75 (define @t482 () (not (forall @t112 (or @t481 @t479 @t477 @t473)))) % 0.37/0.75 (define @t483 () (@var "BOUND_VARIABLE_8304" $$unsorted)) % 0.37/0.75 (define @t484 () (not (tptp.in @t483 @t104))) % 0.37/0.75 (define @t485 () (forall @t9 (or @t479 @t369))) % 0.37/0.75 (define @t486 () (not @t485)) % 0.37/0.75 (define @t487 () (or @t486 @t484 @t482)) % 0.37/0.75 (define @t488 () (forall (@list @t104 @t483) @t487)) % 0.37/0.75 (define @t489 () (not @t488)) % 0.37/0.75 (define @t490 () (@var "BOUND_VARIABLE_8227" $$unsorted)) % 0.37/0.75 (define @t491 () (tptp.in @t490 @t104)) % 0.37/0.75 (define @t492 () (not (tptp.in @t490 @t95))) % 0.37/0.75 (define @t493 () (@var "BOUND_VARIABLE_8221" $$unsorted)) % 0.37/0.75 (define @t494 () (tptp.in @t493 @t95)) % 0.37/0.75 (define @t495 () (not (tptp.in @t493 @t104))) % 0.37/0.75 (define @t496 () (tptp.in @t104 @t1)) % 0.37/0.75 (define @t497 () (not @t496)) % 0.37/0.75 (define @t498 () (or @t497 @t481 @t495 @t494 @t492 @t491)) % 0.37/0.75 (define @t499 () (@list @t104 @t95 @t493 @t490)) % 0.37/0.75 (define @t500 () (forall @t499 @t498)) % 0.37/0.75 (define @t501 () (not @t500)) % 0.37/0.75 (define @t502 () (forall @t118 (or @t497 (= @t478 @t474)))) % 0.37/0.75 (define @t503 () (not @t502)) % 0.37/0.75 (define @t504 () (forall @t135 (or @t370 @t404 @t503 @t129))) % 0.37/0.75 (define @t505 () (not @t504)) % 0.37/0.75 (define @t506 () (@var "BOUND_VARIABLE_8170" $$unsorted)) % 0.37/0.75 (define @t507 () (tptp.in @t506 @t2)) % 0.37/0.75 (define @t508 () (not (tptp.in @t506 @t104))) % 0.37/0.75 (define @t509 () (or @t497 @t508 @t507)) % 0.37/0.75 (define @t510 () (@list @t104 @t506)) % 0.37/0.75 (define @t511 () (forall @t510 @t509)) % 0.37/0.75 (define @t512 () (not @t511)) % 0.37/0.75 (define @t513 () (or @t512 @t505 @t501 @t489)) % 0.37/0.75 (define @t514 () (forall @t64 (not (forall @t41 @t513)))) % 0.37/0.75 (define @t515 () (=> @t514 @t463)) % 0.37/0.75 (define @t516 () (forall @t9 (or @t387 @t370))) % 0.37/0.75 (define @t517 () (not @t516)) % 0.37/0.75 (define @t518 () (not (forall @t41 (or @t385 @t517)))) % 0.37/0.75 (define @t519 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 0.37/0.75 (define @t520 () (not (tptp.in @t519 @t2))) % 0.37/0.75 (define @t521 () (or @t520 @t518)) % 0.37/0.75 (define @t522 () (forall (@list @t2 @t519) @t521)) % 0.37/0.75 (define @t523 () (=> @t522 @t515)) % 0.37/0.75 (define @t524 () (_ @t67 @t19 @t4)) % 0.37/0.75 (define @t525 () (not (forall @t70 (or @t404 (not @t524))))) % 0.37/0.75 (define @t526 () (forall @t9 (= @t386 @t525))) % 0.37/0.75 (define @t527 () (not (forall @t41 (not @t526)))) % 0.37/0.75 (define @t528 () (@var "BOUND_VARIABLE_8035" $$unsorted)) % 0.37/0.75 (define @t529 () (= @t19 @t528)) % 0.37/0.75 (define @t530 () (_ @t67 @t4 @t19)) % 0.37/0.75 (define @t531 () (not (forall @t70 (or (not @t530) @t529)))) % 0.37/0.75 (define @t532 () (_ @t67 @t4 @t528)) % 0.37/0.75 (define @t533 () (@list @t528)) % 0.37/0.75 (define @t534 () (not (forall @t533 (or (not @t532) @t531)))) % 0.37/0.75 (define @t535 () (forall @t9 (or @t370 @t534))) % 0.37/0.75 (define @t536 () (forall @t81 (or (not @t535) @t527))) % 0.37/0.75 (define @t537 () (=> @t536 @t523)) % 0.37/0.75 (define @t538 () (@var "BOUND_VARIABLE_8016" $$unsorted)) % 0.37/0.75 (define @t539 () (tptp.in @t538 @t2)) % 0.37/0.75 (define @t540 () (not (tptp.in @t538 tptp.omega))) % 0.37/0.75 (define @t541 () (tptp.setadjoin @t4 @t4)) % 0.37/0.75 (define @t542 () (tptp.in @t541 @t2)) % 0.37/0.75 (define @t543 () (tptp.in @t4 tptp.omega)) % 0.37/0.75 (define @t544 () (not @t543)) % 0.37/0.75 (define @t545 () (forall @t9 (or @t544 @t370 @t542))) % 0.37/0.75 (define @t546 () (not @t545)) % 0.37/0.75 (define @t547 () (tptp.in tptp.emptyset @t2)) % 0.37/0.75 (define @t548 () (not @t547)) % 0.37/0.75 (define @t549 () (or @t548 @t546 @t540 @t539)) % 0.37/0.75 (define @t550 () (@list @t2 @t538)) % 0.37/0.75 (define @t551 () (forall @t550 @t549)) % 0.37/0.75 (define @t552 () (=> @t551 @t537)) % 0.37/0.75 (define @t553 () (tptp.in @t541 tptp.omega)) % 0.37/0.75 (define @t554 () (forall @t9 (or @t544 @t553))) % 0.37/0.75 (define @t555 () (=> @t554 @t552)) % 0.37/0.75 (define @t556 () (tptp.in tptp.emptyset tptp.omega)) % 0.37/0.75 (define @t557 () (=> @t50 @t555)) % 0.37/0.75 (define @t558 () (forall @t46 (= @t389 @t390))) % 0.37/0.75 (define @t559 () (=> @t558 @t557)) % 0.37/0.75 (define @t560 () (forall @t12 (= @t395 @t392))) % 0.37/0.75 (define @t561 () (=> @t560 @t559)) % 0.37/0.75 (define @t562 () (or @t129 @t400)) % 0.37/0.75 (define @t563 () (forall @t28 (= @t402 @t562))) % 0.37/0.75 (define @t564 () (=> @t563 @t561)) % 0.37/0.75 (define @t565 () (=> @t442 @t564)) % 0.37/0.75 (define @t566 () (forall @t9 (= @t369 @t386))) % 0.37/0.75 (define @t567 () (forall @t12 (or (not @t566) @t3))) % 0.37/0.75 (define @t568 () (=> @t567 @t565)) % 0.37/0.75 (define @t569 () (=> @t452 (=> true @t450))) % 0.37/0.75 (define @t570 () (=> @t454 @t569)) % 0.37/0.75 (define @t571 () (=> @t456 @t570)) % 0.37/0.75 (define @t572 () (=> @t462 @t571)) % 0.37/0.75 (define @t573 () (=> @t514 @t572)) % 0.37/0.75 (define @t574 () (=> @t522 @t573)) % 0.37/0.75 (define @t575 () (=> @t536 @t574)) % 0.37/0.75 (define @t576 () (=> @t551 @t575)) % 0.37/0.75 (define @t577 () (=> @t554 @t576)) % 0.37/0.75 (define @t578 () (=> @t50 @t577)) % 0.37/0.75 (define @t579 () (=> @t558 @t578)) % 0.37/0.75 (define @t580 () (=> @t560 @t579)) % 0.37/0.75 (define @t581 () (=> @t563 @t580)) % 0.37/0.75 (define @t582 () (=> @t442 @t581)) % 0.37/0.75 (define @t583 () (=> @t567 @t582)) % 0.37/0.75 (define @t584 () (=> tptp.upairsetIL @t359)) % 0.37/0.75 (define @t585 () (not @t289)) % 0.37/0.75 (define @t586 () (or @t585 @t362 @t361)) % 0.37/0.75 (define @t587 () (or @t362 @t361)) % 0.37/0.75 (define @t588 () (=> tptp.upairsetE @t584)) % 0.37/0.75 (define @t589 () (not @t272)) % 0.37/0.75 (define @t590 () (or @t589 @t276)) % 0.37/0.75 (define @t591 () (=> tptp.singletonsswitch @t588)) % 0.37/0.75 (define @t592 () (not (= @t19 @t19))) % 0.37/0.75 (define @t593 () (or @t592 @t368)) % 0.37/0.75 (define @t594 () (or @t278 @t278 @t366)) % 0.37/0.75 (define @t595 () (or @t278 @t366)) % 0.37/0.75 (define @t596 () (forall @t9 @t595)) % 0.37/0.75 (define @t597 () (forall @t70 @t596)) % 0.37/0.75 (define @t598 () (forall (@list @t19 @t4) @t595)) % 0.37/0.75 (define @t599 () (or @t278 @t272)) % 0.37/0.75 (define @t600 () (=> tptp.eqinunit @t591)) % 0.37/0.75 (define @t601 () (or @t129 @t277)) % 0.37/0.75 (define @t602 () (=> tptp.notinsingleton @t600)) % 0.37/0.75 (define @t603 () (or @t589 @t129)) % 0.37/0.75 (define @t604 () (=> tptp.uniqinunit @t602)) % 0.37/0.75 (define @t605 () (not @t193)) % 0.37/0.75 (define @t606 () (not @t195)) % 0.37/0.75 (define @t607 () (_ @t355 @t2)) % 0.37/0.75 (define @t608 () (=> @t607 @t267)) % 0.37/0.75 (define @t609 () (forall @t64 @t608)) % 0.37/0.75 (define @t610 () (=> tptp.nonemptyImpWitness @t604)) % 0.37/0.75 (define @t611 () (or @t376 (= @t374 @t19))) % 0.37/0.75 (define @t612 () (forall @t70 @t611)) % 0.37/0.75 (define @t613 () (not @t612)) % 0.37/0.75 (define @t614 () (or @t379 @t377 @t613)) % 0.37/0.75 (define @t615 () (or @t377 @t613)) % 0.37/0.75 (define @t616 () (or @t615 @t379)) % 0.37/0.75 (define @t617 () (forall @t380 @t616)) % 0.37/0.75 (define @t618 () (@list @t374)) % 0.37/0.75 (define @t619 () (forall @t618 @t616)) % 0.37/0.75 (define @t620 () (forall @t618 @t615)) % 0.37/0.75 (define @t621 () (@list @t4)) % 0.37/0.75 (define @t622 () (or @t620 @t379)) % 0.37/0.75 (define @t623 () (forall @t70 (or @t376 @t129))) % 0.37/0.75 (define @t624 () (not @t623)) % 0.37/0.75 (define @t625 () (forall @t9 (or @t420 @t624))) % 0.37/0.75 (define @t626 () (not @t625)) % 0.37/0.75 (define @t627 () (not @t626)) % 0.37/0.75 (define @t628 () (= @t153 @t129)) % 0.37/0.75 (define @t629 () (not @t144)) % 0.37/0.75 (define @t630 () (or @t629 @t624)) % 0.37/0.75 (define @t631 () (not @t153)) % 0.37/0.75 (define @t632 () (or @t631 @t129)) % 0.37/0.75 (define @t633 () (_ @t145 @t19)) % 0.37/0.75 (define @t634 () (not @t633)) % 0.37/0.75 (define @t635 () (or @t634 @t129)) % 0.37/0.75 (define @t636 () (forall @t70 @t635)) % 0.37/0.75 (define @t637 () (not @t636)) % 0.37/0.75 (define @t638 () (_ @t145 @t4)) % 0.37/0.75 (define @t639 () (not @t638)) % 0.37/0.75 (define @t640 () (or @t639 @t637)) % 0.37/0.75 (define @t641 () (forall @t9 @t640)) % 0.37/0.75 (define @t642 () (not @t641)) % 0.37/0.75 (define @t643 () (lambda @t150 @t626)) % 0.37/0.75 (define @t644 () (_ @t643 @t145)) % 0.37/0.75 (define @t645 () (=> @t644 @t262)) % 0.37/0.75 (define @t646 () (forall @t150 @t645)) % 0.37/0.75 (define @t647 () (and @t144 @t623)) % 0.37/0.75 (define @t648 () (forall @t9 (not @t647))) % 0.37/0.75 (define @t649 () (not @t648)) % 0.37/0.75 (define @t650 () (=> tptp.exuE2 @t610)) % 0.37/0.75 (define @t651 () (or @t194 @t257)) % 0.37/0.75 (define @t652 () (=> tptp.subPowSU @t650)) % 0.37/0.75 (define @t653 () (not @t44)) % 0.37/0.75 (define @t654 () (or @t653 @t389)) % 0.37/0.75 (define @t655 () (not false)) % 0.37/0.75 (define @t656 () (and @t655 @t389)) % 0.37/0.75 (define @t657 () (or @t656 false)) % 0.37/0.75 (define @t658 () (not @t172)) % 0.37/0.75 (define @t659 () (and @t658 @t389)) % 0.37/0.75 (define @t660 () (not (= @t172 false))) % 0.37/0.75 (define @t661 () (or @t172 @t659 @t172)) % 0.37/0.75 (define @t662 () (or @t659 @t172)) % 0.37/0.75 (define @t663 () (or @t172 @t388)) % 0.37/0.75 (define @t664 () (not @t39)) % 0.37/0.75 (define @t665 () (not @t6)) % 0.37/0.75 (define @t666 () (or @t665 @t664)) % 0.37/0.75 (define @t667 () (forall @t41 @t666)) % 0.37/0.75 (define @t668 () (or @t172 @t667)) % 0.37/0.75 (define @t669 () (or @t172 @t666)) % 0.37/0.75 (define @t670 () (or @t665 @t664 @t172)) % 0.37/0.75 (define @t671 () (=> tptp.setunionE @t652)) % 0.37/0.75 (define @t672 () (or @t665 @t664 @t44)) % 0.37/0.75 (define @t673 () (=> tptp.setunionI @t671)) % 0.37/0.75 (define @t674 () (not @t35)) % 0.37/0.75 (define @t675 () (or @t674 @t665 @t7)) % 0.37/0.75 (define @t676 () (or @t665 @t7)) % 0.37/0.75 (define @t677 () (=> tptp.powersetE @t673)) % 0.37/0.75 (define @t678 () (=> tptp.emptyInPowerset @t677)) % 0.37/0.75 (define @t679 () (=> tptp.emptyinPowerset @t678)) % 0.37/0.75 (define @t680 () (or @t396 @t35)) % 0.37/0.75 (define @t681 () (=> tptp.powersetI @t679)) % 0.37/0.75 (define @t682 () (_ @t155 @t398)) % 0.37/0.75 (define @t683 () (= @t2 @t682)) % 0.37/0.75 (define @t684 () (=> tptp.setoftrueEq @t681)) % 0.37/0.75 (define @t685 () (not @t26)) % 0.37/0.75 (define @t686 () (or @t685 @t129 @t21)) % 0.37/0.75 (define @t687 () (or @t129 @t21)) % 0.37/0.75 (define @t688 () (=> tptp.setadjoinOr @t684)) % 0.37/0.75 (define @t689 () (or @t685 @t129 @t400)) % 0.37/0.75 (define @t690 () (and @t400 @t655)) % 0.37/0.75 (define @t691 () (and @t129 @t655)) % 0.37/0.75 (define @t692 () (or @t691 @t690)) % 0.37/0.75 (define @t693 () (or @t691 @t690 false)) % 0.37/0.75 (define @t694 () (and @t400 @t658)) % 0.37/0.75 (define @t695 () (and @t129 @t658)) % 0.37/0.75 (define @t696 () (or @t172 @t695 @t694 @t172)) % 0.37/0.75 (define @t697 () (or @t695 @t694 @t172)) % 0.37/0.75 (define @t698 () (and @t21 @t658)) % 0.37/0.75 (define @t699 () (or @t695 @t698 @t172)) % 0.37/0.75 (define @t700 () (=> @t129 @t172)) % 0.37/0.75 (define @t701 () (=> tptp.setadjoinE @t688)) % 0.37/0.75 (define @t702 () (not @t21)) % 0.37/0.75 (define @t703 () (or @t702 @t26)) % 0.37/0.75 (define @t704 () (=> tptp.setadjoinIR @t701)) % 0.37/0.75 (define @t705 () (=> tptp.emptyinunitempty @t704)) % 0.37/0.75 (define @t706 () (=> tptp.setadjoinIL @t705)) % 0.37/0.75 (define @t707 () (not (= tptp.emptyset tptp.emptyset))) % 0.37/0.75 (define @t708 () (or @t414 @t707)) % 0.37/0.75 (define @t709 () (not (tptp.in @t413 @t2))) % 0.37/0.75 (define @t710 () (or @t605 @t709 @t605)) % 0.37/0.75 (define @t711 () (or @t709 @t605)) % 0.37/0.75 (define @t712 () (forall @t64 @t711)) % 0.37/0.75 (define @t713 () (forall @t415 @t712)) % 0.37/0.75 (define @t714 () (forall (@list @t413 @t2) @t711)) % 0.37/0.75 (define @t715 () (forall (@list @t2 @t413) @t711)) % 0.37/0.75 (define @t716 () (forall @t415 @t711)) % 0.37/0.75 (define @t717 () (forall @t415 @t709)) % 0.37/0.75 (define @t718 () (or @t717 @t605)) % 0.37/0.75 (define @t719 () (not @t372)) % 0.37/0.75 (define @t720 () (=> @t89 @t607)) % 0.37/0.75 (define @t721 () (forall @t64 @t720)) % 0.37/0.75 (define @t722 () (=> tptp.nonemptyI1 @t706)) % 0.37/0.75 (define @t723 () (lambda @t70 @t375)) % 0.37/0.75 (define @t724 () (tptp.dsetconstr @t2 @t723)) % 0.37/0.75 (define @t725 () (= tptp.emptyset @t724)) % 0.37/0.75 (define @t726 () (not @t725)) % 0.37/0.75 (define @t727 () (or @t370 @t420 @t726)) % 0.37/0.75 (define @t728 () (= tptp.emptyset @t156)) % 0.37/0.75 (define @t729 () (not @t728)) % 0.37/0.75 (define @t730 () (or @t194 @t629 @t729)) % 0.37/0.75 (define @t731 () (=> @t144 @t729)) % 0.37/0.75 (define @t732 () (not (= @t156 tptp.emptyset))) % 0.37/0.75 (define @t733 () (_ @t355 @t156)) % 0.37/0.75 (define @t734 () (=> @t144 @t733)) % 0.37/0.75 (define @t735 () (=> @t7 @t734)) % 0.37/0.75 (define @t736 () (forall @t159 @t735)) % 0.37/0.75 (define @t737 () (=> tptp.nonemptyI @t722)) % 0.37/0.75 (define @t738 () (=> @t607 @t89)) % 0.37/0.75 (define @t739 () (forall @t64 @t738)) % 0.37/0.75 (define @t740 () (=> tptp.nonemptyE1 @t737)) % 0.37/0.75 (define @t741 () (tptp.in @t4 @t724)) % 0.37/0.75 (define @t742 () (= @t419 @t741)) % 0.37/0.75 (define @t743 () (or @t370 @t742)) % 0.37/0.75 (define @t744 () (= @t144 @t157)) % 0.37/0.75 (define @t745 () (or @t194 @t744)) % 0.37/0.75 (define @t746 () (=> tptp.setbeta @t740)) % 0.37/0.75 (define @t747 () (=> tptp.noeltsimpempty @t746)) % 0.37/0.75 (define @t748 () (=> tptp.emptyI @t747)) % 0.37/0.75 (define @t749 () (=> @t395 @t3)) % 0.37/0.75 (define @t750 () (or @t194 @t6)) % 0.37/0.75 (define @t751 () (=> tptp.setext @t748)) % 0.37/0.75 (define @t752 () (or @t376 (= @t435 @t19))) % 0.37/0.75 (define @t753 () (forall @t70 @t752)) % 0.37/0.75 (define @t754 () (not @t753)) % 0.37/0.75 (define @t755 () (or @t437 @t436 @t754)) % 0.37/0.75 (define @t756 () (or @t436 @t754)) % 0.37/0.75 (define @t757 () (or @t756 @t437)) % 0.37/0.75 (define @t758 () (forall @t438 @t757)) % 0.37/0.75 (define @t759 () (@list @t435)) % 0.37/0.75 (define @t760 () (forall @t759 @t757)) % 0.37/0.75 (define @t761 () (forall @t759 @t756)) % 0.37/0.75 (define @t762 () (or @t761 @t437)) % 0.37/0.75 (define @t763 () (forall @t9 @t629)) % 0.37/0.75 (define @t764 () (not @t763)) % 0.37/0.75 (define @t765 () (=> @t644 @t184)) % 0.37/0.75 (define @t766 () (forall @t150 @t765)) % 0.37/0.75 (define @t767 () (=> tptp.exuE3e @t751)) % 0.37/0.75 (define @t768 () (=> tptp.notinemptyset @t767)) % 0.37/0.75 (define @t769 () (=> tptp.emptysetimpfalse @t768)) % 0.37/0.75 (define @t770 () (or @t172 @t172)) % 0.37/0.75 (define @t771 () (=> tptp.emptysetE @t769)) % 0.37/0.75 (define @t772 () (@var "BOUND_VARIABLE_8429" $$unsorted)) % 0.37/0.75 (define @t773 () (@list @t772)) % 0.37/0.75 (define @t774 () (lambda @t773 false)) % 0.37/0.75 (define @t775 () (@list @t772)) % 0.37/0.75 (define @t776 () (tptp.dsetconstr @t448 @t774)) % 0.37/0.75 (define @t777 () (tptp.in @t4 @t776)) % 0.37/0.75 (define @t778 () (not @t777)) % 0.37/0.75 (define @t779 () (or @t778 false)) % 0.37/0.75 (define @t780 () (lambda @t773 @t172)) % 0.37/0.75 (define @t781 () (tptp.dsetconstr @t448 @t780)) % 0.37/0.75 (define @t782 () (tptp.in @t4 @t781)) % 0.37/0.75 (define @t783 () (not @t782)) % 0.37/0.75 (define @t784 () (or @t172 @t783 @t172)) % 0.37/0.75 (define @t785 () (or @t783 @t172)) % 0.37/0.75 (define @t786 () (forall @t177 @t785)) % 0.37/0.75 (define @t787 () (forall @t9 @t786)) % 0.37/0.75 (define @t788 () (forall (@list @t4 @t172) @t785)) % 0.37/0.75 (define @t789 () (_ @t352 @t780)) % 0.37/0.75 (define @t790 () (_ @t5 @t789)) % 0.37/0.75 (define @t791 () (not @t790)) % 0.37/0.75 (define @t792 () (or @t791 @t172)) % 0.37/0.75 (define @t793 () (=> (_ @t5 @t353) @t172)) % 0.37/0.75 (define @t794 () (_ @t354 @t172)) % 0.37/0.75 (define @t795 () (=> (_ @t5 @t794) @t172)) % 0.37/0.75 (define @t796 () (forall @t174 @t795)) % 0.37/0.75 (define @t797 () (=> tptp.prop2setE @t771)) % 0.37/0.75 (define @t798 () (=> @t644 @t168)) % 0.37/0.75 (define @t799 () (forall @t150 @t798)) % 0.37/0.75 (define @t800 () (=> tptp.exuE1 @t797)) % 0.37/0.75 (define @t801 () (not @t741)) % 0.37/0.75 (define @t802 () (or @t801 @t419)) % 0.37/0.75 (define @t803 () (not @t157)) % 0.37/0.75 (define @t804 () (or @t803 @t144)) % 0.37/0.75 (define @t805 () (=> tptp.dsetconstrER @t800)) % 0.37/0.75 (define @t806 () (or @t801 @t369)) % 0.37/0.75 (define @t807 () (or @t803 @t7)) % 0.37/0.75 (define @t808 () (=> tptp.dsetconstrEL @t805)) % 0.37/0.75 (define @t809 () (or @t370 @t420 @t741)) % 0.37/0.75 (define @t810 () (or @t194 @t629 @t157)) % 0.37/0.75 (define @t811 () (=> tptp.dsetconstrI @t808)) % 0.37/0.75 (define @t812 () (or @t376 (= @t458 @t19))) % 0.37/0.75 (define @t813 () (forall @t70 @t812)) % 0.37/0.75 (define @t814 () (not @t813)) % 0.37/0.75 (define @t815 () (or @t460 @t459 @t814)) % 0.37/0.75 (define @t816 () (or @t459 @t814)) % 0.37/0.75 (define @t817 () (or @t816 @t460)) % 0.37/0.75 (define @t818 () (forall @t461 @t817)) % 0.37/0.75 (define @t819 () (@list @t458)) % 0.37/0.75 (define @t820 () (forall @t819 @t817)) % 0.37/0.75 (define @t821 () (forall @t819 @t816)) % 0.37/0.75 (define @t822 () (or @t821 @t460)) % 0.37/0.75 (define @t823 () (lambda @t9 @t419)) % 0.37/0.75 (define @t824 () (tptp.descr @t823)) % 0.37/0.75 (define @t825 () (_ @t143 @t824)) % 0.37/0.75 (define @t826 () (or @t625 @t825)) % 0.37/0.75 (define @t827 () (or @t625 @t147)) % 0.37/0.75 (define @t828 () (=> @t644 @t147)) % 0.37/0.75 (define @t829 () (forall @t150 @t828)) % 0.37/0.75 (define @t830 () (=> tptp.descrp @t811)) % 0.37/0.75 (define @t831 () (and @t511 @t504 @t500 @t488)) % 0.37/0.75 (define @t832 () (forall @t41 (not @t831))) % 0.37/0.75 (define @t833 () (not @t832)) % 0.37/0.75 (define @t834 () (@list @t483)) % 0.37/0.75 (define @t835 () (forall @t834 @t487)) % 0.37/0.75 (define @t836 () (forall @t834 @t484)) % 0.37/0.75 (define @t837 () (or @t486 @t836 @t482)) % 0.37/0.75 (define @t838 () (forall @t9 @t479)) % 0.37/0.75 (define @t839 () (or @t486 @t838 @t482)) % 0.37/0.75 (define @t840 () (not @t838)) % 0.37/0.75 (define @t841 () (and @t485 @t840)) % 0.37/0.75 (define @t842 () (not @t109)) % 0.37/0.75 (define @t843 () (not @t110)) % 0.37/0.75 (define @t844 () (or @t843 @t842 @t477 @t473)) % 0.37/0.75 (define @t845 () (and @t110 @t109 @t476 @t472)) % 0.37/0.75 (define @t846 () (forall @t112 (not @t845))) % 0.37/0.75 (define @t847 () (not @t846)) % 0.37/0.75 (define @t848 () (or @t466 @t465)) % 0.37/0.75 (define @t849 () (or @t469 @t848 @t467)) % 0.37/0.75 (define @t850 () (forall @t471 @t849)) % 0.37/0.75 (define @t851 () (@list @t464)) % 0.37/0.75 (define @t852 () (forall @t851 @t849)) % 0.37/0.75 (define @t853 () (forall @t851 @t848)) % 0.37/0.75 (define @t854 () (or @t469 @t853 @t467)) % 0.37/0.75 (define @t855 () (tptp.in @t19 @t93)) % 0.37/0.75 (define @t856 () (forall @t70 (or (not @t855) @t475))) % 0.37/0.75 (define @t857 () (not @t100)) % 0.37/0.75 (define @t858 () (or @t857 @t856 @t94)) % 0.37/0.75 (define @t859 () (or @t856 @t94)) % 0.37/0.75 (define @t860 () (not @t97)) % 0.37/0.75 (define @t861 () (or @t860 @t96)) % 0.37/0.75 (define @t862 () (not @t105)) % 0.37/0.75 (define @t863 () (not @t96)) % 0.37/0.75 (define @t864 () (or @t863 @t862)) % 0.37/0.75 (define @t865 () (forall @t70 (not @t106))) % 0.37/0.75 (define @t866 () (not @t865)) % 0.37/0.75 (define @t867 () (forall @t9 @t842)) % 0.37/0.75 (define @t868 () (not @t867)) % 0.37/0.75 (define @t869 () (or @t842 @t7)) % 0.37/0.75 (define @t870 () (or @t492 @t491)) % 0.37/0.75 (define @t871 () (or @t495 @t494)) % 0.37/0.75 (define @t872 () (or @t497 @t481 @t871 @t870)) % 0.37/0.75 (define @t873 () (forall @t499 @t872)) % 0.37/0.75 (define @t874 () (forall (@list @t493 @t490) @t872)) % 0.37/0.75 (define @t875 () (forall (@list @t490) @t870)) % 0.37/0.75 (define @t876 () (forall (@list @t493) @t871)) % 0.37/0.75 (define @t877 () (or @t497 @t481 @t876 @t875)) % 0.37/0.75 (define @t878 () (tptp.in @t4 @t95)) % 0.37/0.75 (define @t879 () (forall @t9 (or (not @t878) @t478))) % 0.37/0.75 (define @t880 () (forall @t9 (or @t479 @t878))) % 0.37/0.75 (define @t881 () (not @t124)) % 0.37/0.75 (define @t882 () (or @t881 @t843 @t880 @t879)) % 0.37/0.75 (define @t883 () (or @t880 @t879)) % 0.37/0.75 (define @t884 () (not @t120)) % 0.37/0.75 (define @t885 () (or @t884 @t109)) % 0.37/0.75 (define @t886 () (or @t842 @t120)) % 0.37/0.75 (define @t887 () (or @t194 @t702 @t503 @t129)) % 0.37/0.75 (define @t888 () (=> @t502 @t129)) % 0.37/0.75 (define @t889 () (or @t881 @t130)) % 0.37/0.75 (define @t890 () (or @t508 @t507)) % 0.37/0.75 (define @t891 () (or @t497 @t890)) % 0.37/0.75 (define @t892 () (forall @t510 @t891)) % 0.37/0.75 (define @t893 () (@list @t506)) % 0.37/0.75 (define @t894 () (forall @t893 @t891)) % 0.37/0.75 (define @t895 () (forall @t893 @t890)) % 0.37/0.75 (define @t896 () (or @t497 @t895)) % 0.37/0.75 (define @t897 () (or @t881 @t485)) % 0.37/0.75 (define @t898 () (=> tptp.wellorderingAx @t830)) % 0.37/0.75 (define @t899 () (@list @t519)) % 0.37/0.75 (define @t900 () (forall @t899 @t521)) % 0.37/0.75 (define @t901 () (forall @t899 @t520)) % 0.37/0.75 (define @t902 () (or @t901 @t518)) % 0.37/0.75 (define @t903 () (or @t664 @t517)) % 0.37/0.75 (define @t904 () (and @t39 @t516)) % 0.37/0.75 (define @t905 () (forall @t41 (not @t904))) % 0.37/0.75 (define @t906 () (not @t905)) % 0.37/0.75 (define @t907 () (or @t665 @t194)) % 0.37/0.75 (define @t908 () (forall @t9 (not @t84))) % 0.37/0.75 (define @t909 () (not @t908)) % 0.37/0.75 (define @t910 () (=> tptp.foundationAx @t898)) % 0.37/0.75 (define @t911 () (= @t6 @t525)) % 0.37/0.75 (define @t912 () (not @t68)) % 0.37/0.75 (define @t913 () (or @t702 @t912)) % 0.37/0.75 (define @t914 () (forall @t70 (not @t69))) % 0.37/0.75 (define @t915 () (not @t914)) % 0.37/0.75 (define @t916 () (or @t194 @t534)) % 0.37/0.75 (define @t917 () (_ @t75 @t528)) % 0.37/0.75 (define @t918 () (not @t917)) % 0.37/0.75 (define @t919 () (or @t918 @t531)) % 0.37/0.75 (define @t920 () (not @t76)) % 0.37/0.75 (define @t921 () (or @t920 @t529)) % 0.37/0.75 (define @t922 () (_ @t77 @t19)) % 0.37/0.75 (define @t923 () (not @t922)) % 0.37/0.75 (define @t924 () (or @t923 @t529)) % 0.37/0.75 (define @t925 () (forall @t70 @t924)) % 0.37/0.75 (define @t926 () (not @t925)) % 0.37/0.75 (define @t927 () (_ @t77 @t528)) % 0.37/0.75 (define @t928 () (not @t927)) % 0.37/0.75 (define @t929 () (or @t928 @t926)) % 0.37/0.75 (define @t930 () (forall @t533 @t929)) % 0.37/0.75 (define @t931 () (not @t930)) % 0.37/0.75 (define @t932 () (not (_ @t143 @t528))) % 0.37/0.75 (define @t933 () (or @t376 (= @t528 @t19))) % 0.37/0.75 (define @t934 () (forall @t70 @t933)) % 0.37/0.75 (define @t935 () (not @t934)) % 0.37/0.75 (define @t936 () (or @t932 @t935)) % 0.37/0.75 (define @t937 () (forall @t533 @t936)) % 0.37/0.75 (define @t938 () (not @t937)) % 0.37/0.75 (define @t939 () (=> @t7 (_ @t643 @t77))) % 0.37/0.75 (define @t940 () (forall @t9 @t939)) % 0.37/0.75 (define @t941 () (=> @t940 @t74)) % 0.37/0.75 (define @t942 () (forall @t81 @t941)) % 0.37/0.75 (define @t943 () (=> tptp.replAx @t910)) % 0.37/0.75 (define @t944 () (or @t540 @t539)) % 0.37/0.75 (define @t945 () (or @t548 @t546 @t944)) % 0.37/0.75 (define @t946 () (forall @t550 @t945)) % 0.37/0.75 (define @t947 () (@list @t538)) % 0.37/0.75 (define @t948 () (forall @t947 @t945)) % 0.37/0.75 (define @t949 () (forall @t947 @t944)) % 0.37/0.75 (define @t950 () (or @t548 @t546 @t949)) % 0.37/0.75 (define @t951 () (forall @t9 (or @t544 @t369))) % 0.37/0.75 (define @t952 () (not @t61)) % 0.37/0.75 (define @t953 () (or @t952 @t546 @t951)) % 0.37/0.75 (define @t954 () (and @t61 @t545)) % 0.37/0.75 (define @t955 () (not @t54)) % 0.37/0.75 (define @t956 () (or @t955 @t7)) % 0.37/0.75 (define @t957 () (_ tptp.in @t541)) % 0.37/0.75 (define @t958 () (or @t955 @t194 @t58)) % 0.37/0.75 (define @t959 () (=> tptp.omegaIndAx @t943)) % 0.37/0.75 (define @t960 () (or @t955 @t53)) % 0.37/0.75 (define @t961 () (=> tptp.omegaSAx @t959)) % 0.37/0.75 (define @t962 () (=> tptp.omega0Ax @t961)) % 0.37/0.75 (define @t963 () (= @t44 @t389)) % 0.37/0.75 (define @t964 () (forall @t41 (not @t40))) % 0.37/0.75 (define @t965 () (not @t964)) % 0.37/0.75 (define @t966 () (=> tptp.setunionAx @t962)) % 0.37/0.75 (define @t967 () (= @t35 @t395)) % 0.37/0.75 (define @t968 () (=> tptp.powersetAx @t966)) % 0.37/0.75 (define @t969 () (= @t26 @t687)) % 0.37/0.75 (define @t970 () (=> tptp.setadjoinAx @t968)) % 0.37/0.75 (define @t971 () (=> tptp.emptysetAx @t970)) % 0.37/0.75 (define @t972 () (=> tptp.setextAx @t971)) % 0.37/0.75 (define @t973 () (@quantifiers_skolemize @t359 1)) % 0.37/0.75 (define @t974 () (tptp.setadjoin @t973 tptp.emptyset)) % 0.37/0.75 (define @t975 () (@quantifiers_skolemize @t359 0)) % 0.37/0.75 (define @t976 () (tptp.in @t973 @t974)) % 0.37/0.75 (define @t977 () (or (= @t975 @t973) @t976)) % 0.37/0.75 (define @t978 () (tptp.in @t973 (tptp.setadjoin @t975 @t974))) % 0.37/0.75 (define @t979 () (= @t978 @t977)) % 0.37/0.75 (define @t980 () (not @t977)) % 0.37/0.75 (define @t981 () (@list true false)) % 0.37/0.75 (assume @p1 @t14) % 0.37/0.75 (assume @p2 @t18) % 0.37/0.75 (assume @p3 @t30) % 0.37/0.75 (assume @p4 @t38) % 0.37/0.75 (assume @p5 @t48) % 0.37/0.75 (assume @p6 (= tptp.omega0Ax @t50)) % 0.37/0.75 (assume @p7 @t56) % 0.37/0.75 (assume @p8 @t66) % 0.37/0.75 (assume @p9 @t83) % 0.37/0.75 (assume @p10 @t92) % 0.37/0.75 (assume @p11 @t142) % 0.37/0.75 (assume @p12 @t152) % 0.37/0.75 (assume @p13 @t161) % 0.37/0.75 (assume @p14 @t163) % 0.37/0.75 (assume @p15 @t165) % 0.37/0.75 (assume @p16 @t171) % 0.37/0.75 (assume @p17 @t176) % 0.37/0.75 (assume @p18 @t181) % 0.37/0.75 (assume @p19 @t183) % 0.37/0.75 (assume @p20 (= tptp.notinemptyset @t17)) % 0.37/0.75 (assume @p21 @t187) % 0.37/0.75 (assume @p22 @t192) % 0.37/0.75 (assume @p23 @t198) % 0.37/0.75 (assume @p24 (= tptp.noeltsimpempty @t197)) % 0.37/0.75 (assume @p25 @t201) % 0.37/0.75 (assume @p26 @t205) % 0.37/0.75 (assume @p27 @t209) % 0.37/0.75 (assume @p28 @t212) % 0.37/0.75 (assume @p29 @t216) % 0.37/0.75 (assume @p30 (= tptp.emptyinunitempty @t218)) % 0.37/0.75 (assume @p31 @t220) % 0.37/0.75 (assume @p32 @t228) % 0.37/0.75 (assume @p33 @t231) % 0.37/0.75 (assume @p34 @t235) % 0.37/0.75 (assume @p35 @t238) % 0.37/0.75 (assume @p36 @t241) % 0.37/0.75 (assume @p37 (= tptp.emptyInPowerset @t240)) % 0.37/0.75 (assume @p38 @t244) % 0.37/0.75 (assume @p39 @t248) % 0.37/0.75 (assume @p40 @t255) % 0.37/0.75 (assume @p41 @t259) % 0.37/0.75 (assume @p42 @t265) % 0.37/0.75 (assume @p43 @t270) % 0.37/0.75 (assume @p44 @t274) % 0.37/0.75 (assume @p45 @t280) % 0.37/0.75 (assume @p46 @t282) % 0.37/0.75 (assume @p47 @t284) % 0.37/0.75 (assume @p48 @t293) % 0.37/0.75 (assume @p49 @t296) % 0.37/0.75 (assume @p50 @t348) % 0.37/0.75 (assume @p51 true) % 0.37/0.75 (step @p52 (= tptp.exu @t349) :rule refl :args (@t349)) % 0.37/0.75 (step @p53 (= tptp.prop2set @t354) :rule refl :args (@t354)) % 0.37/0.75 (step @p54 (= tptp.nonempty @t355) :rule refl :args (@t355)) % 0.37/0.75 (step @p55 :rule refl :args (@t405)) % 0.37/0.75 (step @p56 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.37/0.75 (step @p57 :rule refl :args (@t406)) % 0.37/0.75 (step @p58 :rule refl :args (tptp.emptyset)) % 0.37/0.75 (step @p59 :rule cong :premises (@p58 @p57) :args (@t407)) % 0.37/0.75 (step @p60 :rule trans :premises (@p59 @p56)) % 0.37/0.75 (step @p61 :rule refl :args (@t49)) % 0.37/0.75 (step @p62 :rule ho_cong :premises (@p61 @p57)) % 0.37/0.75 (step @p63 :rule cong :premises (@p62 @p60) :args ((= (_ @t49 @t406) @t407))) % 0.37/0.75 (step @p64 :rule symm :premises (@p63)) % 0.37/0.75 (step @p65 :rule refl :args (@t218)) % 0.37/0.75 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.37/0.75 (step @p67 :rule refl :args (@t217)) % 0.37/0.75 (step @p68 :rule cong :premises (@p67 @p57) :args ((= @t217 @t406))) % 0.37/0.75 (step @p69 :rule symm :premises (@p68)) % 0.37/0.75 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.37/0.75 (step @p71 :rule refl :args (@t49)) % 0.37/0.75 (step @p72 :rule ho_cong :premises (@p71 @p70)) % 0.37/0.75 (step @p73 :rule trans :premises (@p72 @p66)) % 0.37/0.75 (step @p74 :rule cong :premises (@p73 @p55) :args (@t408)) % 0.37/0.75 (step @p75 :rule refl :args (@t411)) % 0.37/0.75 (step @p76 :rule cong :premises (@p75 @p74) :args (@t412)) % 0.37/0.75 (step @p77 :rule refl :args (@t416)) % 0.37/0.75 (step @p78 :rule cong :premises (@p77 @p76) :args (@t417)) % 0.37/0.75 (step @p79 :rule refl :args (@t421)) % 0.37/0.75 (step @p80 :rule cong :premises (@p79 @p78) :args 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0.37/0.75 (step @p1871 :rule cong :premises (@p180 @p1870) :args (@t299)) % 0.37/0.75 (step @p1872 :rule cong :premises (@p213 @p1871) :args (@t300)) % 0.37/0.75 (step @p1873 :rule cong :premises (@p250 @p1872) :args (@t301)) % 0.37/0.75 (step @p1874 :rule cong :premises (@p280 @p1873) :args (@t302)) % 0.37/0.75 (step @p1875 :rule cong :premises (@p295 @p1874) :args (@t303)) % 0.37/0.75 (step @p1876 :rule cong :premises (@p304 @p1875) :args (@t304)) % 0.37/0.75 (step @p1877 :rule cong :premises (@p331 @p1876) :args (@t305)) % 0.37/0.75 (step @p1878 :rule cong :premises (@p417 @p1877) :args (@t306)) % 0.37/0.75 (step @p1879 :rule cong :premises (@p474 @p1878) :args (@t307)) % 0.37/0.75 (step @p1880 :rule cong :premises (@p560 @p1879) :args (@t308)) % 0.37/0.75 (step @p1881 :rule cong :premises (@p574 @p1880) :args (@t309)) % 0.37/0.75 (step @p1882 :rule cong :premises (@p607 @p1881) :args (@t310)) % 0.37/0.75 (step @p1883 :rule cong :premises (@p612 @p1882) :args (@t311)) % 0.37/0.75 (step @p1884 :rule cong :premises (@p630 @p1883) :args (@t312)) % 0.37/0.75 (step @p1885 :rule cong :premises (@p648 @p1884) :args (@t313)) % 0.37/0.75 (step @p1886 :rule cong :premises (@p675 @p1885) :args (@t314)) % 0.37/0.75 (step @p1887 :rule cong :premises (@p713 @p1886) :args (@t315)) % 0.37/0.75 (step @p1888 :rule cong :premises (@p769 @p1887) :args (@t316)) % 0.37/0.75 (step @p1889 :rule cong :premises (@p779 @p1888) :args (@t317)) % 0.37/0.75 (step @p1890 :rule refl :args (tptp.emptyinunitempty)) % 0.37/0.75 (step @p1891 :rule cong :premises (@p1890 @p1889) :args (@t318)) % 0.37/0.75 (step @p1892 :rule cong :premises (@p800 @p1891) :args (@t319)) % 0.37/0.75 (step @p1893 :rule cong :premises (@p841 @p1892) :args (@t320)) % 0.37/0.75 (step @p1894 :rule cong :premises (@p894 @p1893) :args (@t321)) % 0.37/0.75 (step @p1895 :rule cong :premises (@p908 @p1894) :args (@t322)) % 0.37/0.75 (step @p1896 :rule cong :premises (@p943 @p1895) :args (@t323)) % 0.37/0.75 (step @p1897 :rule cong :premises (@p948 @p1896) :args (@t324)) % 0.37/0.75 (step @p1898 :rule cong :premises (@p961 @p1897) :args (@t325)) % 0.37/0.75 (step @p1899 :rule cong :premises (@p983 @p1898) :args (@t326)) % 0.37/0.75 (step @p1900 :rule cong :premises (@p1019 @p1899) :args (@t327)) % 0.37/0.75 (step @p1901 :rule cong :premises (@p1029 @p1900) :args (@t328)) % 0.37/0.75 (step @p1902 :rule cong :premises (@p1046 @p1901) :args (@t329)) % 0.37/0.75 (step @p1903 :rule cong :premises (@p1061 @p1902) :args (@t330)) % 0.37/0.75 (step @p1904 :rule cong :premises (@p1138 @p1903) :args (@t331)) % 0.37/0.75 (step @p1905 :rule cong :premises (@p1162 @p1904) :args (@t332)) % 0.37/0.75 (step @p1906 :rule cong :premises (@p1183 @p1905) :args (@t333)) % 0.37/0.75 (step @p1907 :rule cong :premises (@p1196 @p1906) :args (@t334)) % 0.37/0.75 (step @p1908 :rule cong :premises (@p1213 @p1907) :args (@t335)) % 0.37/0.75 (step @p1909 :rule cong :premises (@p1281 @p1908) :args (@t336)) % 0.37/0.75 (step @p1910 :rule cong :premises (@p1552 @p1909) :args (@t337)) % 0.37/0.75 (step @p1911 :rule cong :premises (@p1597 @p1910) :args (@t338)) % 0.37/0.75 (step @p1912 :rule cong :premises (@p1690 @p1911) :args (@t339)) % 0.37/0.75 (step @p1913 :rule cong :premises (@p1777 @p1912) :args (@t340)) % 0.37/0.75 (step @p1914 :rule cong :premises (@p1797 @p1913) :args (@t341)) % 0.37/0.75 (step @p1915 :rule refl :args (tptp.omega0Ax)) % 0.37/0.75 (step @p1916 :rule cong :premises (@p1915 @p1914) :args (@t342)) % 0.37/0.75 (step @p1917 :rule cong :premises (@p1816 @p1916) :args (@t343)) % 0.37/0.75 (step @p1918 :rule cong :premises (@p1829 @p1917) :args (@t344)) % 0.37/0.75 (step @p1919 :rule cong :premises (@p1839 @p1918) :args (@t345)) % 0.37/0.75 (step @p1920 :rule cong :premises (@p1843 @p1919) :args (@t346)) % 0.37/0.75 (step @p1921 :rule cong :premises (@p1854 @p1920) :args (@t347)) % 0.37/0.75 (step @p1922 :rule cong :premises (@p1921) :args (@t348)) % 0.37/0.75 (step @p1923 :rule trans :premises (@p1922 @p1859 @p131)) % 0.37/0.75 (step @p1924 :rule eq_resolve :premises (@p50 @p1923)) % 0.37/0.75 (step @p1925 :rule not_implies_elim2 :premises (@p1924)) % 0.37/0.75 (step @p1926 :rule not_implies_elim2 :premises (@p1925)) % 0.37/0.75 (step @p1927 :rule not_implies_elim2 :premises (@p1926)) % 0.37/0.75 (step @p1928 :rule not_implies_elim2 :premises (@p1927)) % 0.37/0.75 (step @p1929 :rule not_implies_elim2 :premises (@p1928)) % 0.37/0.75 (step @p1930 :rule not_implies_elim2 :premises (@p1929)) % 0.37/0.75 (step @p1931 :rule not_implies_elim2 :premises (@p1930)) % 0.37/0.75 (step @p1932 :rule not_implies_elim2 :premises (@p1931)) % 0.37/0.75 (step @p1933 :rule not_implies_elim2 :premises (@p1932)) % 0.37/0.75 (step @p1934 :rule not_implies_elim2 :premises (@p1933)) % 0.37/0.75 (step @p1935 :rule not_implies_elim2 :premises (@p1934)) % 0.37/0.75 (step @p1936 :rule not_implies_elim2 :premises (@p1935)) % 0.37/0.75 (step @p1937 :rule not_implies_elim2 :premises (@p1936)) % 0.37/0.75 (step @p1938 :rule not_implies_elim2 :premises (@p1937)) % 0.37/0.75 (step @p1939 :rule not_implies_elim2 :premises (@p1938)) % 0.37/0.75 (step @p1940 :rule not_implies_elim2 :premises (@p1939)) % 0.37/0.75 (step @p1941 :rule not_implies_elim2 :premises (@p1940)) % 0.37/0.75 (step @p1942 :rule not_implies_elim2 :premises (@p1941)) % 0.37/0.75 (step @p1943 :rule not_implies_elim2 :premises (@p1942)) % 0.37/0.75 (step @p1944 :rule not_implies_elim2 :premises (@p1943)) % 0.37/0.75 (step @p1945 :rule not_implies_elim2 :premises (@p1944)) % 0.37/0.75 (step @p1946 :rule not_implies_elim2 :premises (@p1945)) % 0.37/0.75 (step @p1947 :rule not_implies_elim2 :premises (@p1946)) % 0.37/0.75 (step @p1948 :rule not_implies_elim2 :premises (@p1947)) % 0.37/0.75 (step @p1949 :rule not_implies_elim2 :premises (@p1948)) % 0.37/0.75 (step @p1950 :rule not_implies_elim2 :premises (@p1949)) % 0.37/0.75 (step @p1951 :rule not_implies_elim2 :premises (@p1950)) % 0.37/0.75 (step @p1952 :rule not_implies_elim1 :premises (@p1951)) % 0.37/0.75 (step @p1953 :rule instantiate :premises (@p1952) :args ((@list @t973 tptp.emptyset))) % 0.37/0.75 (step @p1954 :rule not_implies_elim1 :premises (@p1926)) % 0.37/0.75 (step @p1955 :rule instantiate :premises (@p1954) :args ((@list @t975 @t974 @t973))) % 0.37/0.75 (step @p1956 :rule not_implies_elim2 :premises (@p1951)) % 0.37/0.75 (step @p1957 :rule not_implies_elim2 :premises (@p1956)) % 0.37/0.75 (step @p1958 :rule not_implies_elim2 :premises (@p1957)) % 0.37/0.75 (step @p1959 :rule not_implies_elim2 :premises (@p1958)) % 0.37/0.75 (step @p1960 :rule not_implies_elim2 :premises (@p1959)) % 0.37/0.75 (step @p1961 :rule not_implies_elim2 :premises (@p1960)) % 0.37/0.75 (step @p1962 :rule not_implies_elim2 :premises (@p1961)) % 0.37/0.75 (step @p1963 :rule not_implies_elim2 :premises (@p1962)) % 0.37/0.75 (step @p1964 :rule not_implies_elim2 :premises (@p1963)) % 0.37/0.75 (step @p1965 :rule not_implies_elim2 :premises (@p1964)) % 0.37/0.75 (step @p1966 :rule not_implies_elim2 :premises (@p1965)) % 0.37/0.75 (step @p1967 :rule not_implies_elim2 :premises (@p1966)) % 0.37/0.75 (step @p1968 :rule not_implies_elim2 :premises (@p1967)) % 0.37/0.75 (step @p1969 :rule not_implies_elim2 :premises (@p1968)) % 0.37/0.75 (step @p1970 :rule not_implies_elim2 :premises (@p1969)) % 0.37/0.75 (step @p1971 :rule not_implies_elim2 :premises (@p1970)) % 0.37/0.75 (step @p1972 :rule not_implies_elim2 :premises (@p1971)) % 0.37/0.75 (step @p1973 :rule not_implies_elim2 :premises (@p1972)) % 0.37/0.75 (step @p1974 :rule not_implies_elim2 :premises (@p1973)) % 0.37/0.75 (step @p1975 :rule not_implies_elim2 :premises (@p1974)) % 0.37/0.75 (step @p1976 :rule not_implies_elim2 :premises (@p1975)) % 0.37/0.75 (step @p1977 :rule skolemize :premises (@p1976)) % 0.37/0.75 (step @p1978 :rule cnf_equiv_pos2 :args (@t979)) % 0.37/0.75 (step @p1979 :rule reordering :premises (@p1978) :args ((or @t978 @t980 (not @t979)))) % 0.37/0.75 (step @p1980 :rule chain_m_resolution :premises (@p1979 @p1977 @p1955) :args (@t980 @t981 (@list @t978 @t979))) % 0.37/0.75 (step @p1981 :rule cnf_or_neg :args (@t977 1)) % 0.37/0.75 (step @p1982 false :rule chain_m_resolution :premises (@p1981 @p1980 @p1953) :args (false @t981 (@list @t977 @t976))) % 0.37/0.75 ) % 0.37/0.75 % SZS output end Proof % 0.37/0.75 % cvc5 exiting %------------------------------------------------------------------------------