%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU530^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 0.52s 0.73s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU530^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.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 17:41:03 EDT 2026 % 0.17/0.36 % CPUTime : % 0.32/0.53 %----Proving TH0 % 0.52/0.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.73 % SZS status Theorem % 0.52/0.73 % SZS output start Proof % 0.52/0.73 ( % 0.52/0.73 (declare-sort $$unsorted 0) % 0.52/0.73 (declare-const tptp.emptyset $$unsorted) % 0.52/0.73 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.52/0.73 (declare-const tptp.notinsingleton Bool) % 0.52/0.73 (declare-const tptp.subPowSU Bool) % 0.52/0.73 (declare-const tptp.setunionE Bool) % 0.52/0.73 (declare-const tptp.setunionI Bool) % 0.52/0.73 (declare-const tptp.powersetE Bool) % 0.52/0.73 (declare-const tptp.emptyInPowerset Bool) % 0.52/0.73 (declare-const tptp.setoftrueEq Bool) % 0.52/0.73 (declare-const tptp.uniqinunit Bool) % 0.52/0.73 (declare-const tptp.setadjoinOr Bool) % 0.52/0.73 (declare-const tptp.setadjoinE Bool) % 0.52/0.73 (declare-const tptp.emptyinunitempty Bool) % 0.52/0.73 (declare-const tptp.nonemptyI1 Bool) % 0.52/0.73 (declare-const tptp.nonemptyI Bool) % 0.52/0.73 (declare-const tptp.nonemptyE1 Bool) % 0.52/0.73 (declare-const tptp.noeltsimpempty Bool) % 0.52/0.73 (declare-const tptp.emptyI Bool) % 0.52/0.73 (declare-const tptp.omegaIndAx Bool) % 0.52/0.73 (declare-const tptp.omega0Ax Bool) % 0.52/0.73 (declare-const tptp.setadjoinIL Bool) % 0.52/0.73 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.powersetAx Bool) % 0.52/0.73 (declare-const tptp.nonemptyImpWitness Bool) % 0.52/0.73 (declare-const tptp.omegaSAx Bool) % 0.52/0.73 (declare-const tptp.setext Bool) % 0.52/0.73 (declare-const tptp.setadjoinAx Bool) % 0.52/0.73 (declare-const tptp.powersetI Bool) % 0.52/0.73 (declare-const tptp.setbeta Bool) % 0.52/0.73 (declare-const tptp.dsetconstrER Bool) % 0.52/0.73 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.exuE2 Bool) % 0.52/0.73 (declare-const tptp.setadjoinIR Bool) % 0.52/0.73 (declare-const tptp.notinemptyset Bool) % 0.52/0.73 (declare-const tptp.foundationAx Bool) % 0.52/0.73 (declare-const tptp.setextAx Bool) % 0.52/0.73 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.emptysetAx Bool) % 0.52/0.73 (declare-const tptp.dsetconstrEL Bool) % 0.52/0.73 (declare-const tptp.eqinunit Bool) % 0.52/0.73 (declare-const tptp.replAx Bool) % 0.52/0.73 (declare-const tptp.emptysetimpfalse Bool) % 0.52/0.73 (declare-const tptp.wellorderingAx Bool) % 0.52/0.73 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.52/0.73 (declare-const tptp.emptyinPowerset Bool) % 0.52/0.73 (declare-const tptp.exuE1 Bool) % 0.52/0.73 (declare-const tptp.descrp Bool) % 0.52/0.73 (declare-const tptp.dsetconstrI Bool) % 0.52/0.73 (declare-const tptp.omega $$unsorted) % 0.52/0.73 (declare-const tptp.exuE3e Bool) % 0.52/0.73 (declare-const tptp.prop2setE Bool) % 0.52/0.73 (declare-const tptp.setunionAx Bool) % 0.52/0.73 (declare-const tptp.emptysetE Bool) % 0.52/0.73 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.52/0.73 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.52/0.73 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.52/0.73 (define @t1 () (@var "B" $$unsorted)) % 0.52/0.73 (define @t2 () (@var "A" $$unsorted)) % 0.52/0.73 (define @t3 () (= @t2 @t1)) % 0.52/0.73 (define @t4 () (@var "Xx" $$unsorted)) % 0.52/0.73 (define @t5 () (_ tptp.in @t4)) % 0.52/0.73 (define @t6 () (_ @t5 @t1)) % 0.52/0.73 (define @t7 () (_ @t5 @t2)) % 0.52/0.73 (define @t8 () (= @t7 @t6)) % 0.52/0.73 (define @t9 () (@list @t4)) % 0.52/0.73 (define @t10 () (forall @t9 @t8)) % 0.52/0.73 (define @t11 () (=> @t10 @t3)) % 0.52/0.73 (define @t12 () (@list @t2 @t1)) % 0.52/0.73 (define @t13 () (forall @t12 @t11)) % 0.52/0.73 (define @t14 () (= tptp.setextAx @t13)) % 0.52/0.73 (define @t15 () (_ @t5 tptp.emptyset)) % 0.52/0.73 (define @t16 () (not @t15)) % 0.52/0.73 (define @t17 () (forall @t9 @t16)) % 0.52/0.73 (define @t18 () (= tptp.emptysetAx @t17)) % 0.52/0.73 (define @t19 () (@var "Xy" $$unsorted)) % 0.52/0.73 (define @t20 () (_ tptp.in @t19)) % 0.52/0.73 (define @t21 () (_ @t20 @t2)) % 0.52/0.73 (define @t22 () (= @t19 @t4)) % 0.52/0.73 (define @t23 () (or @t22 @t21)) % 0.52/0.73 (define @t24 () (_ tptp.setadjoin @t4)) % 0.52/0.73 (define @t25 () (_ @t24 @t2)) % 0.52/0.73 (define @t26 () (_ @t20 @t25)) % 0.52/0.73 (define @t27 () (= @t26 @t23)) % 0.52/0.73 (define @t28 () (@list @t4 @t2 @t19)) % 0.52/0.73 (define @t29 () (forall @t28 @t27)) % 0.52/0.73 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.52/0.73 (define @t31 () (=> @t6 @t7)) % 0.52/0.73 (define @t32 () (forall @t9 @t31)) % 0.52/0.73 (define @t33 () (_ tptp.powerset @t2)) % 0.52/0.73 (define @t34 () (_ tptp.in @t1)) % 0.52/0.73 (define @t35 () (_ @t34 @t33)) % 0.52/0.73 (define @t36 () (= @t35 @t32)) % 0.52/0.73 (define @t37 () (forall @t12 @t36)) % 0.52/0.73 (define @t38 () (= tptp.powersetAx @t37)) % 0.52/0.73 (define @t39 () (_ @t34 @t2)) % 0.52/0.73 (define @t40 () (and @t6 @t39)) % 0.52/0.73 (define @t41 () (@list @t1)) % 0.52/0.73 (define @t42 () (exists @t41 @t40)) % 0.52/0.73 (define @t43 () (_ tptp.setunion @t2)) % 0.52/0.73 (define @t44 () (_ @t5 @t43)) % 0.52/0.73 (define @t45 () (= @t44 @t42)) % 0.52/0.73 (define @t46 () (@list @t2 @t4)) % 0.52/0.73 (define @t47 () (forall @t46 @t45)) % 0.52/0.73 (define @t48 () (= tptp.setunionAx @t47)) % 0.52/0.73 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.52/0.73 (define @t50 () (_ @t49 tptp.omega)) % 0.52/0.73 (define @t51 () (_ @t24 @t4)) % 0.52/0.73 (define @t52 () (_ tptp.in @t51)) % 0.52/0.73 (define @t53 () (_ @t52 tptp.omega)) % 0.52/0.73 (define @t54 () (_ @t5 tptp.omega)) % 0.52/0.73 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.52/0.73 (define @t56 () (= tptp.omegaSAx @t55)) % 0.52/0.73 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.52/0.73 (define @t58 () (_ @t52 @t2)) % 0.52/0.73 (define @t59 () (and @t54 @t7)) % 0.52/0.73 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.52/0.73 (define @t61 () (_ @t49 @t2)) % 0.52/0.73 (define @t62 () (and @t61 @t60)) % 0.52/0.73 (define @t63 () (=> @t62 @t57)) % 0.52/0.73 (define @t64 () (@list @t2)) % 0.52/0.73 (define @t65 () (forall @t64 @t63)) % 0.52/0.73 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.52/0.73 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.52/0.73 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.52/0.73 (define @t69 () (and @t21 @t68)) % 0.52/0.73 (define @t70 () (@list @t19)) % 0.52/0.73 (define @t71 () (exists @t70 @t69)) % 0.52/0.73 (define @t72 () (= @t6 @t71)) % 0.52/0.73 (define @t73 () (forall @t9 @t72)) % 0.52/0.73 (define @t74 () (exists @t41 @t73)) % 0.52/0.73 (define @t75 () (_ @t67 @t4)) % 0.52/0.73 (define @t76 () (_ @t75 @t19)) % 0.52/0.73 (define @t77 () (lambda @t70 @t76)) % 0.52/0.73 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.52/0.73 (define @t79 () (forall @t9 @t78)) % 0.52/0.73 (define @t80 () (=> @t79 @t74)) % 0.52/0.73 (define @t81 () (@list @t67 @t2)) % 0.52/0.73 (define @t82 () (forall @t81 @t80)) % 0.52/0.73 (define @t83 () (= tptp.replAx @t82)) % 0.52/0.73 (define @t84 () (and @t6 @t7)) % 0.52/0.73 (define @t85 () (exists @t9 @t84)) % 0.52/0.73 (define @t86 () (not @t85)) % 0.52/0.73 (define @t87 () (and @t39 @t86)) % 0.52/0.73 (define @t88 () (exists @t41 @t87)) % 0.52/0.73 (define @t89 () (exists @t9 @t7)) % 0.52/0.73 (define @t90 () (=> @t89 @t88)) % 0.52/0.73 (define @t91 () (forall @t64 @t90)) % 0.52/0.73 (define @t92 () (= tptp.foundationAx @t91)) % 0.52/0.73 (define @t93 () (@var "E" $$unsorted)) % 0.52/0.73 (define @t94 () (_ @t5 @t93)) % 0.52/0.73 (define @t95 () (@var "D" $$unsorted)) % 0.52/0.73 (define @t96 () (_ @t20 @t95)) % 0.52/0.73 (define @t97 () (_ @t20 @t93)) % 0.52/0.73 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.52/0.73 (define @t99 () (or @t98 @t94)) % 0.52/0.73 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.52/0.73 (define @t101 () (=> @t100 @t99)) % 0.52/0.73 (define @t102 () (@list @t93)) % 0.52/0.73 (define @t103 () (forall @t102 @t101)) % 0.52/0.73 (define @t104 () (@var "C" $$unsorted)) % 0.52/0.73 (define @t105 () (_ @t20 @t104)) % 0.52/0.73 (define @t106 () (and @t96 @t105)) % 0.52/0.73 (define @t107 () (exists @t70 @t106)) % 0.52/0.73 (define @t108 () (not @t107)) % 0.52/0.73 (define @t109 () (_ @t5 @t104)) % 0.52/0.73 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.52/0.73 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.52/0.73 (define @t112 () (@list @t95 @t4)) % 0.52/0.73 (define @t113 () (exists @t112 @t111)) % 0.52/0.73 (define @t114 () (exists @t9 @t109)) % 0.52/0.73 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.52/0.73 (define @t116 () (and @t115 @t114)) % 0.52/0.73 (define @t117 () (=> @t116 @t113)) % 0.52/0.73 (define @t118 () (@list @t104)) % 0.52/0.73 (define @t119 () (forall @t118 @t117)) % 0.52/0.73 (define @t120 () (_ @t5 @t95)) % 0.52/0.73 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.52/0.73 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.52/0.73 (define @t123 () (or @t122 @t121)) % 0.52/0.73 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.52/0.73 (define @t125 () (and @t124 @t110)) % 0.52/0.73 (define @t126 () (=> @t125 @t123)) % 0.52/0.73 (define @t127 () (@list @t104 @t95)) % 0.52/0.73 (define @t128 () (forall @t127 @t126)) % 0.52/0.73 (define @t129 () (= @t4 @t19)) % 0.52/0.73 (define @t130 () (= @t109 @t105)) % 0.52/0.73 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.52/0.73 (define @t132 () (=> @t131 @t129)) % 0.52/0.73 (define @t133 () (and @t7 @t21)) % 0.52/0.73 (define @t134 () (=> @t133 @t132)) % 0.52/0.73 (define @t135 () (@list @t4 @t19)) % 0.52/0.73 (define @t136 () (forall @t135 @t134)) % 0.52/0.73 (define @t137 () (=> @t124 @t115)) % 0.52/0.73 (define @t138 () (forall @t118 @t137)) % 0.52/0.73 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.52/0.73 (define @t140 () (exists @t41 @t139)) % 0.52/0.73 (define @t141 () (forall @t64 @t140)) % 0.52/0.73 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.52/0.73 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.52/0.73 (define @t144 () (_ @t143 @t4)) % 0.52/0.73 (define @t145 () (lambda @t9 @t144)) % 0.52/0.73 (define @t146 () (_ tptp.descr @t145)) % 0.52/0.73 (define @t147 () (_ @t143 @t146)) % 0.52/0.73 (define @t148 () (_ tptp.exu @t145)) % 0.52/0.73 (define @t149 () (=> @t148 @t147)) % 0.52/0.73 (define @t150 () (@list @t143)) % 0.52/0.73 (define @t151 () (forall @t150 @t149)) % 0.52/0.73 (define @t152 () (= tptp.descrp @t151)) % 0.52/0.73 (define @t153 () (_ @t143 @t19)) % 0.52/0.73 (define @t154 () (lambda @t70 @t153)) % 0.52/0.73 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.52/0.73 (define @t156 () (_ @t155 @t154)) % 0.52/0.73 (define @t157 () (_ @t5 @t156)) % 0.52/0.73 (define @t158 () (=> @t144 @t157)) % 0.52/0.73 (define @t159 () (@list @t2 @t143 @t4)) % 0.52/0.73 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.52/0.73 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.52/0.73 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.52/0.73 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.52/0.73 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.52/0.73 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.52/0.73 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.52/0.73 (define @t167 () (and @t144 @t166)) % 0.52/0.73 (define @t168 () (exists @t9 @t167)) % 0.52/0.73 (define @t169 () (=> @t148 @t168)) % 0.52/0.73 (define @t170 () (forall @t150 @t169)) % 0.52/0.73 (define @t171 () (= tptp.exuE1 @t170)) % 0.52/0.73 (define @t172 () (@var "Xphi" Bool)) % 0.52/0.73 (define @t173 () (=> (_ @t5 (_ tptp.prop2set @t172)) @t172)) % 0.52/0.73 (define @t174 () (@list @t172 @t4)) % 0.52/0.73 (define @t175 () (forall @t174 @t173)) % 0.52/0.73 (define @t176 () (= tptp.prop2setE @t175)) % 0.52/0.73 (define @t177 () (@list @t172)) % 0.52/0.73 (define @t178 () (forall @t177 @t172)) % 0.52/0.73 (define @t179 () (=> @t15 @t178)) % 0.52/0.73 (define @t180 () (forall @t9 @t179)) % 0.52/0.73 (define @t181 () (= tptp.emptysetE @t180)) % 0.52/0.73 (define @t182 () (forall @t9 (=> @t15 false))) % 0.52/0.73 (define @t183 () (= tptp.emptysetimpfalse @t182)) % 0.52/0.73 (define @t184 () (exists @t9 @t144)) % 0.52/0.73 (define @t185 () (=> @t148 @t184)) % 0.52/0.73 (define @t186 () (forall @t150 @t185)) % 0.52/0.73 (define @t187 () (= tptp.exuE3e @t186)) % 0.52/0.73 (define @t188 () (=> @t32 @t3)) % 0.52/0.73 (define @t189 () (forall @t9 (=> @t7 @t6))) % 0.52/0.73 (define @t190 () (=> @t189 @t188)) % 0.52/0.73 (define @t191 () (forall @t12 @t190)) % 0.52/0.73 (define @t192 () (= tptp.setext @t191)) % 0.52/0.73 (define @t193 () (= @t2 tptp.emptyset)) % 0.52/0.73 (define @t194 () (not @t7)) % 0.52/0.73 (define @t195 () (forall @t9 @t194)) % 0.52/0.73 (define @t196 () (=> @t195 @t193)) % 0.52/0.73 (define @t197 () (forall @t64 @t196)) % 0.52/0.74 (define @t198 () (= tptp.emptyI @t197)) % 0.52/0.74 (define @t199 () (=> @t7 (= @t157 @t144))) % 0.52/0.74 (define @t200 () (forall @t159 @t199)) % 0.52/0.74 (define @t201 () (= tptp.setbeta @t200)) % 0.52/0.74 (define @t202 () (_ tptp.nonempty @t2)) % 0.52/0.74 (define @t203 () (=> @t202 @t89)) % 0.52/0.74 (define @t204 () (forall @t64 @t203)) % 0.52/0.74 (define @t205 () (= tptp.nonemptyE1 @t204)) % 0.52/0.74 (define @t206 () (=> @t144 (_ tptp.nonempty @t156))) % 0.52/0.74 (define @t207 () (=> @t7 @t206)) % 0.52/0.74 (define @t208 () (forall @t159 @t207)) % 0.52/0.74 (define @t209 () (= tptp.nonemptyI @t208)) % 0.52/0.74 (define @t210 () (=> @t89 @t202)) % 0.52/0.74 (define @t211 () (forall @t64 @t210)) % 0.52/0.74 (define @t212 () (= tptp.nonemptyI1 @t211)) % 0.52/0.74 (define @t213 () (_ @t24 @t19)) % 0.52/0.74 (define @t214 () (_ @t5 @t213)) % 0.52/0.74 (define @t215 () (forall @t135 @t214)) % 0.52/0.74 (define @t216 () (= tptp.setadjoinIL @t215)) % 0.52/0.74 (define @t217 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.52/0.74 (define @t218 () (_ @t49 @t217)) % 0.52/0.74 (define @t219 () (forall @t28 (=> @t21 @t26))) % 0.52/0.74 (define @t220 () (= tptp.setadjoinIR @t219)) % 0.52/0.74 (define @t221 () (=> @t21 @t172)) % 0.52/0.74 (define @t222 () (=> @t221 @t172)) % 0.52/0.74 (define @t223 () (=> @t22 @t172)) % 0.52/0.74 (define @t224 () (=> @t223 @t222)) % 0.52/0.74 (define @t225 () (forall @t177 @t224)) % 0.52/0.74 (define @t226 () (=> @t26 @t225)) % 0.52/0.74 (define @t227 () (forall @t28 @t226)) % 0.52/0.74 (define @t228 () (= tptp.setadjoinE @t227)) % 0.52/0.74 (define @t229 () (=> @t26 @t23)) % 0.52/0.74 (define @t230 () (forall @t28 @t229)) % 0.52/0.74 (define @t231 () (= tptp.setadjoinOr @t230)) % 0.52/0.74 (define @t232 () (lambda @t9 true)) % 0.52/0.74 (define @t233 () (= (_ @t155 @t232) @t2)) % 0.52/0.74 (define @t234 () (forall @t64 @t233)) % 0.52/0.74 (define @t235 () (= tptp.setoftrueEq @t234)) % 0.52/0.74 (define @t236 () (=> @t32 @t35)) % 0.52/0.74 (define @t237 () (forall @t12 @t236)) % 0.52/0.74 (define @t238 () (= tptp.powersetI @t237)) % 0.52/0.74 (define @t239 () (_ @t49 @t33)) % 0.52/0.74 (define @t240 () (forall @t64 @t239)) % 0.52/0.74 (define @t241 () (= tptp.emptyinPowerset @t240)) % 0.52/0.74 (define @t242 () (@list @t2 @t1 @t4)) % 0.52/0.74 (define @t243 () (forall @t242 (=> @t35 @t31))) % 0.52/0.74 (define @t244 () (= tptp.powersetE @t243)) % 0.52/0.74 (define @t245 () (=> @t39 @t44)) % 0.52/0.74 (define @t246 () (@list @t2 @t4 @t1)) % 0.52/0.74 (define @t247 () (forall @t246 (=> @t6 @t245))) % 0.52/0.74 (define @t248 () (= tptp.setunionI @t247)) % 0.52/0.74 (define @t249 () (=> @t39 @t172)) % 0.52/0.74 (define @t250 () (forall @t41 (=> @t6 @t249))) % 0.52/0.74 (define @t251 () (=> @t250 @t172)) % 0.52/0.74 (define @t252 () (forall @t177 @t251)) % 0.52/0.74 (define @t253 () (=> @t44 @t252)) % 0.52/0.74 (define @t254 () (forall @t46 @t253)) % 0.52/0.74 (define @t255 () (= tptp.setunionE @t254)) % 0.52/0.74 (define @t256 () (_ tptp.powerset @t43)) % 0.52/0.74 (define @t257 () (_ @t5 @t256)) % 0.52/0.74 (define @t258 () (forall @t46 (=> @t7 @t257))) % 0.52/0.74 (define @t259 () (= tptp.subPowSU @t258)) % 0.52/0.74 (define @t260 () (= @t153 @t22)) % 0.52/0.74 (define @t261 () (forall @t70 @t260)) % 0.52/0.74 (define @t262 () (exists @t9 @t261)) % 0.52/0.74 (define @t263 () (=> @t148 @t262)) % 0.52/0.74 (define @t264 () (forall @t150 @t263)) % 0.52/0.74 (define @t265 () (= tptp.exuE2 @t264)) % 0.52/0.74 (define @t266 () (and @t7 true)) % 0.52/0.74 (define @t267 () (exists @t9 @t266)) % 0.52/0.74 (define @t268 () (=> @t202 @t267)) % 0.52/0.74 (define @t269 () (forall @t64 @t268)) % 0.52/0.74 (define @t270 () (= tptp.nonemptyImpWitness @t269)) % 0.52/0.74 (define @t271 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 0.52/0.74 (define @t272 () (_ @t5 @t271)) % 0.52/0.74 (define @t273 () (forall @t135 (=> @t272 @t129))) % 0.52/0.74 (define @t274 () (= tptp.uniqinunit @t273)) % 0.52/0.74 (define @t275 () (_ @t24 tptp.emptyset)) % 0.52/0.74 (define @t276 () (_ @t20 @t275)) % 0.52/0.74 (define @t277 () (not @t276)) % 0.52/0.74 (define @t278 () (not @t129)) % 0.52/0.74 (define @t279 () (forall @t135 (=> @t278 @t277))) % 0.52/0.74 (define @t280 () (= tptp.notinsingleton @t279)) % 0.52/0.74 (define @t281 () (forall @t135 (=> @t129 @t272))) % 0.52/0.74 (define @t282 () (= tptp.eqinunit @t281)) % 0.52/0.74 (define @t283 () (forall @t135 (=> @t272 @t276))) % 0.52/0.74 (define @t284 () (=> tptp.eqinunit @t283)) % 0.52/0.74 (define @t285 () (=> tptp.notinsingleton @t284)) % 0.52/0.74 (define @t286 () (=> tptp.uniqinunit @t285)) % 0.52/0.74 (define @t287 () (=> tptp.nonemptyImpWitness @t286)) % 0.52/0.74 (define @t288 () (=> tptp.exuE2 @t287)) % 0.52/0.74 (define @t289 () (=> tptp.subPowSU @t288)) % 0.52/0.74 (define @t290 () (=> tptp.setunionE @t289)) % 0.52/0.74 (define @t291 () (=> tptp.setunionI @t290)) % 0.52/0.74 (define @t292 () (=> tptp.powersetE @t291)) % 0.52/0.74 (define @t293 () (=> tptp.emptyInPowerset @t292)) % 0.52/0.74 (define @t294 () (=> tptp.emptyinPowerset @t293)) % 0.52/0.74 (define @t295 () (=> tptp.powersetI @t294)) % 0.52/0.74 (define @t296 () (=> tptp.setoftrueEq @t295)) % 0.52/0.74 (define @t297 () (=> tptp.setadjoinOr @t296)) % 0.52/0.74 (define @t298 () (=> tptp.setadjoinE @t297)) % 0.52/0.74 (define @t299 () (=> tptp.setadjoinIR @t298)) % 0.52/0.74 (define @t300 () (=> tptp.emptyinunitempty @t299)) % 0.52/0.74 (define @t301 () (=> tptp.setadjoinIL @t300)) % 0.52/0.74 (define @t302 () (=> tptp.nonemptyI1 @t301)) % 0.52/0.74 (define @t303 () (=> tptp.nonemptyI @t302)) % 0.52/0.74 (define @t304 () (=> tptp.nonemptyE1 @t303)) % 0.52/0.74 (define @t305 () (=> tptp.setbeta @t304)) % 0.52/0.74 (define @t306 () (=> tptp.noeltsimpempty @t305)) % 0.52/0.74 (define @t307 () (=> tptp.emptyI @t306)) % 0.52/0.74 (define @t308 () (=> tptp.setext @t307)) % 0.52/0.74 (define @t309 () (=> tptp.exuE3e @t308)) % 0.52/0.74 (define @t310 () (=> tptp.notinemptyset @t309)) % 0.52/0.74 (define @t311 () (=> tptp.emptysetimpfalse @t310)) % 0.52/0.74 (define @t312 () (=> tptp.emptysetE @t311)) % 0.52/0.74 (define @t313 () (=> tptp.prop2setE @t312)) % 0.52/0.74 (define @t314 () (=> tptp.exuE1 @t313)) % 0.52/0.74 (define @t315 () (=> tptp.dsetconstrER @t314)) % 0.52/0.74 (define @t316 () (=> tptp.dsetconstrEL @t315)) % 0.52/0.74 (define @t317 () (=> tptp.dsetconstrI @t316)) % 0.52/0.74 (define @t318 () (=> tptp.descrp @t317)) % 0.52/0.74 (define @t319 () (=> tptp.wellorderingAx @t318)) % 0.52/0.74 (define @t320 () (=> tptp.foundationAx @t319)) % 0.52/0.74 (define @t321 () (=> tptp.replAx @t320)) % 0.52/0.74 (define @t322 () (=> tptp.omegaIndAx @t321)) % 0.52/0.74 (define @t323 () (=> tptp.omegaSAx @t322)) % 0.52/0.74 (define @t324 () (=> tptp.omega0Ax @t323)) % 0.52/0.74 (define @t325 () (=> tptp.setunionAx @t324)) % 0.52/0.74 (define @t326 () (=> tptp.powersetAx @t325)) % 0.52/0.74 (define @t327 () (=> tptp.setadjoinAx @t326)) % 0.52/0.74 (define @t328 () (=> tptp.emptysetAx @t327)) % 0.52/0.74 (define @t329 () (=> tptp.setextAx @t328)) % 0.52/0.74 (define @t330 () (not @t329)) % 0.52/0.74 (define @t331 () (lambda @t150 @t168)) % 0.52/0.74 (define @t332 () (lambda @t9 @t172)) % 0.52/0.74 (define @t333 () (_ tptp.powerset tptp.emptyset)) % 0.52/0.74 (define @t334 () (_ tptp.dsetconstr @t333)) % 0.52/0.74 (define @t335 () (_ @t334 @t332)) % 0.52/0.74 (define @t336 () (lambda @t177 @t335)) % 0.52/0.74 (define @t337 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.52/0.74 (define @t338 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.52/0.74 (define @t339 () (tptp.in @t19 @t338)) % 0.52/0.74 (define @t340 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.52/0.74 (define @t341 () (tptp.in @t4 @t340)) % 0.52/0.74 (define @t342 () (not @t341)) % 0.52/0.74 (define @t343 () (forall @t135 (or @t342 @t339))) % 0.52/0.74 (define @t344 () (tptp.in @t19 @t340)) % 0.52/0.74 (define @t345 () (tptp.in @t4 @t2)) % 0.52/0.74 (define @t346 () (not @t345)) % 0.52/0.74 (define @t347 () (forall @t9 @t346)) % 0.52/0.74 (define @t348 () (not @t347)) % 0.52/0.74 (define @t349 () (forall @t64 (or @t193 @t348))) % 0.52/0.74 (define @t350 () (@var "BOUND_VARIABLE_8723" $$unsorted)) % 0.52/0.74 (define @t351 () (_ @t143 @t19)) % 0.52/0.74 (define @t352 () (not @t351)) % 0.52/0.74 (define @t353 () (not (_ @t143 @t350))) % 0.52/0.74 (define @t354 () (forall @t70 (= @t129 @t351))) % 0.52/0.74 (define @t355 () (not (forall @t9 (not @t354)))) % 0.52/0.74 (define @t356 () (@list @t143 @t350)) % 0.52/0.74 (define @t357 () (tptp.setunion @t2)) % 0.52/0.74 (define @t358 () (tptp.powerset @t357)) % 0.52/0.74 (define @t359 () (tptp.in @t4 @t358)) % 0.52/0.74 (define @t360 () (tptp.in @t1 @t2)) % 0.52/0.74 (define @t361 () (not @t360)) % 0.52/0.74 (define @t362 () (tptp.in @t4 @t1)) % 0.52/0.74 (define @t363 () (not @t362)) % 0.52/0.74 (define @t364 () (forall @t41 (or @t363 @t361))) % 0.52/0.74 (define @t365 () (not @t364)) % 0.52/0.74 (define @t366 () (tptp.in @t4 @t357)) % 0.52/0.74 (define @t367 () (tptp.powerset @t2)) % 0.52/0.74 (define @t368 () (tptp.in @t1 @t367)) % 0.52/0.74 (define @t369 () (tptp.in tptp.emptyset @t367)) % 0.52/0.74 (define @t370 () (forall @t64 @t369)) % 0.52/0.74 (define @t371 () (forall @t9 (or @t363 @t345))) % 0.52/0.74 (define @t372 () (not @t371)) % 0.52/0.74 (define @t373 () (@var "BOUND_VARIABLE_15922" $$unsorted)) % 0.52/0.74 (define @t374 () (lambda (@list @t373) true)) % 0.52/0.74 (define @t375 () (tptp.dsetconstr @t2 @t374)) % 0.52/0.74 (define @t376 () (tptp.in @t19 @t2)) % 0.52/0.74 (define @t377 () (tptp.setadjoin @t4 @t2)) % 0.52/0.74 (define @t378 () (tptp.in @t19 @t377)) % 0.52/0.74 (define @t379 () (forall @t28 (or (not @t378) @t129 @t376))) % 0.52/0.74 (define @t380 () (not @t376)) % 0.52/0.74 (define @t381 () (=> (forall @t28 (or @t380 @t378)) (=> @t379 (=> @t379 (=> (forall @t64 (= @t2 @t375)) (=> (forall @t12 (or @t372 @t368)) (=> @t370 (=> @t370 (=> (forall @t242 (or (not @t368) @t363 @t345)) (=> (forall @t246 (or @t363 @t361 @t366)) (=> (forall @t46 (or (not @t366) @t365)) (=> (forall @t46 (or @t346 @t359)) (=> (forall @t356 (or @t355 @t353 (not (forall @t70 (or @t352 (= @t19 @t350)))))) (=> @t349 (=> (forall @t135 (or @t342 @t129)) (=> (forall @t135 (or @t129 (not @t339))) (=> (forall @t70 @t344) @t343))))))))))))))))) % 0.52/0.74 (define @t382 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.52/0.74 (define @t383 () (tptp.in tptp.emptyset @t382)) % 0.52/0.74 (define @t384 () (=> @t218 @t381)) % 0.52/0.74 (define @t385 () (tptp.setadjoin @t4 @t19)) % 0.52/0.74 (define @t386 () (tptp.in @t4 @t385)) % 0.52/0.74 (define @t387 () (forall @t135 @t386)) % 0.52/0.74 (define @t388 () (=> @t387 @t384)) % 0.52/0.74 (define @t389 () (@var "BOUND_VARIABLE_8564" $$unsorted)) % 0.52/0.74 (define @t390 () (not (tptp.in @t389 tptp.emptyset))) % 0.52/0.74 (define @t391 () (@list @t389)) % 0.52/0.74 (define @t392 () (forall @t391 @t390)) % 0.52/0.74 (define @t393 () (=> @t392 @t388)) % 0.52/0.74 (define @t394 () (tptp.dsetconstr @t2 @t143)) % 0.52/0.74 (define @t395 () (_ @t143 @t4)) % 0.52/0.74 (define @t396 () (not @t395)) % 0.52/0.74 (define @t397 () (forall @t159 (or @t346 @t396 (not (= tptp.emptyset @t394))))) % 0.52/0.74 (define @t398 () (=> @t397 @t393)) % 0.52/0.74 (define @t399 () (=> @t349 @t398)) % 0.52/0.74 (define @t400 () (tptp.in @t4 @t394)) % 0.52/0.74 (define @t401 () (forall @t159 (or @t346 (= @t395 @t400)))) % 0.52/0.74 (define @t402 () (=> @t401 @t399)) % 0.52/0.74 (define @t403 () (forall @t64 (or @t348 @t193))) % 0.52/0.74 (define @t404 () (=> @t403 @t402)) % 0.52/0.74 (define @t405 () (=> @t403 @t404)) % 0.52/0.74 (define @t406 () (forall @t9 (or @t346 @t362))) % 0.52/0.74 (define @t407 () (not @t406)) % 0.52/0.74 (define @t408 () (or @t407 @t372 @t3)) % 0.52/0.74 (define @t409 () (forall @t12 @t408)) % 0.52/0.74 (define @t410 () (=> @t409 @t405)) % 0.52/0.74 (define @t411 () (@var "BOUND_VARIABLE_8461" $$unsorted)) % 0.52/0.74 (define @t412 () (not (_ @t143 @t411))) % 0.52/0.74 (define @t413 () (not (forall @t9 @t396))) % 0.52/0.74 (define @t414 () (@list @t143 @t411)) % 0.52/0.74 (define @t415 () (forall @t414 (or @t413 @t412 (not (forall @t70 (or @t352 (= @t19 @t411))))))) % 0.52/0.74 (define @t416 () (=> @t415 @t410)) % 0.52/0.74 (define @t417 () (tptp.in @t4 tptp.emptyset)) % 0.52/0.74 (define @t418 () (forall @t9 (not @t417))) % 0.52/0.74 (define @t419 () (=> @t418 @t416)) % 0.52/0.74 (define @t420 () (=> @t418 @t419)) % 0.52/0.74 (define @t421 () (=> @t418 @t420)) % 0.52/0.74 (define @t422 () (@var "BOUND_VARIABLE_15427" $$unsorted)) % 0.52/0.74 (define @t423 () (lambda (@list @t422) false)) % 0.52/0.74 (define @t424 () (tptp.powerset tptp.emptyset)) % 0.52/0.74 (define @t425 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t424 @t423))))) % 0.52/0.74 (define @t426 () (=> @t425 @t421)) % 0.52/0.74 (define @t427 () (not @t400)) % 0.52/0.74 (define @t428 () (forall @t159 (or @t427 @t395))) % 0.52/0.74 (define @t429 () (=> @t428 @t426)) % 0.52/0.74 (define @t430 () (forall @t159 (or @t427 @t345))) % 0.52/0.74 (define @t431 () (=> @t430 @t429)) % 0.52/0.74 (define @t432 () (forall @t159 (or @t346 @t396 @t400))) % 0.52/0.74 (define @t433 () (=> @t432 @t431)) % 0.52/0.74 (define @t434 () (@var "BOUND_VARIABLE_8332" $$unsorted)) % 0.52/0.74 (define @t435 () (not (_ @t143 @t434))) % 0.52/0.74 (define @t436 () (_ @t143 (tptp.descr @t143))) % 0.52/0.74 (define @t437 () (@list @t143 @t434)) % 0.52/0.74 (define @t438 () (forall @t437 (or @t436 @t435 (not (forall @t70 (or @t352 (= @t19 @t434))))))) % 0.52/0.74 (define @t439 () (=> @t438 @t433)) % 0.52/0.74 (define @t440 () (@var "BOUND_VARIABLE_8252" $$unsorted)) % 0.52/0.74 (define @t441 () (tptp.in @t440 @t95)) % 0.52/0.74 (define @t442 () (not (tptp.in @t440 @t93))) % 0.52/0.74 (define @t443 () (tptp.in @t4 @t93)) % 0.52/0.74 (define @t444 () (tptp.in @t93 @t1)) % 0.52/0.74 (define @t445 () (not @t444)) % 0.52/0.74 (define @t446 () (or @t445 @t443 @t442 @t441)) % 0.52/0.74 (define @t447 () (@list @t93 @t440)) % 0.52/0.74 (define @t448 () (forall @t447 @t446)) % 0.52/0.74 (define @t449 () (not @t448)) % 0.52/0.74 (define @t450 () (tptp.in @t19 @t104)) % 0.52/0.74 (define @t451 () (tptp.in @t19 @t95)) % 0.52/0.74 (define @t452 () (forall @t70 (or (not @t451) (not @t450)))) % 0.52/0.74 (define @t453 () (not @t452)) % 0.52/0.74 (define @t454 () (tptp.in @t4 @t104)) % 0.52/0.74 (define @t455 () (not @t454)) % 0.52/0.74 (define @t456 () (tptp.in @t95 @t1)) % 0.52/0.74 (define @t457 () (not @t456)) % 0.52/0.74 (define @t458 () (not (forall @t112 (or @t457 @t455 @t453 @t449)))) % 0.52/0.74 (define @t459 () (@var "BOUND_VARIABLE_8281" $$unsorted)) % 0.52/0.74 (define @t460 () (not (tptp.in @t459 @t104))) % 0.52/0.74 (define @t461 () (forall @t9 (or @t455 @t345))) % 0.52/0.74 (define @t462 () (not @t461)) % 0.52/0.74 (define @t463 () (or @t462 @t460 @t458)) % 0.52/0.74 (define @t464 () (forall (@list @t104 @t459) @t463)) % 0.52/0.74 (define @t465 () (not @t464)) % 0.52/0.74 (define @t466 () (@var "BOUND_VARIABLE_8204" $$unsorted)) % 0.52/0.74 (define @t467 () (tptp.in @t466 @t104)) % 0.52/0.74 (define @t468 () (not (tptp.in @t466 @t95))) % 0.52/0.74 (define @t469 () (@var "BOUND_VARIABLE_8198" $$unsorted)) % 0.52/0.74 (define @t470 () (tptp.in @t469 @t95)) % 0.52/0.74 (define @t471 () (not (tptp.in @t469 @t104))) % 0.52/0.74 (define @t472 () (tptp.in @t104 @t1)) % 0.52/0.74 (define @t473 () (not @t472)) % 0.52/0.74 (define @t474 () (or @t473 @t457 @t471 @t470 @t468 @t467)) % 0.52/0.74 (define @t475 () (@list @t104 @t95 @t469 @t466)) % 0.52/0.74 (define @t476 () (forall @t475 @t474)) % 0.52/0.74 (define @t477 () (not @t476)) % 0.52/0.74 (define @t478 () (forall @t118 (or @t473 (= @t454 @t450)))) % 0.52/0.74 (define @t479 () (not @t478)) % 0.52/0.74 (define @t480 () (forall @t135 (or @t346 @t380 @t479 @t129))) % 0.52/0.74 (define @t481 () (not @t480)) % 0.52/0.74 (define @t482 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 0.52/0.74 (define @t483 () (tptp.in @t482 @t2)) % 0.52/0.74 (define @t484 () (not (tptp.in @t482 @t104))) % 0.52/0.74 (define @t485 () (or @t473 @t484 @t483)) % 0.52/0.74 (define @t486 () (@list @t104 @t482)) % 0.52/0.74 (define @t487 () (forall @t486 @t485)) % 0.52/0.74 (define @t488 () (not @t487)) % 0.52/0.74 (define @t489 () (or @t488 @t481 @t477 @t465)) % 0.52/0.74 (define @t490 () (forall @t64 (not (forall @t41 @t489)))) % 0.52/0.74 (define @t491 () (=> @t490 @t439)) % 0.52/0.74 (define @t492 () (forall @t9 (or @t363 @t346))) % 0.52/0.74 (define @t493 () (not @t492)) % 0.52/0.74 (define @t494 () (not (forall @t41 (or @t361 @t493)))) % 0.52/0.74 (define @t495 () (@var "BOUND_VARIABLE_8122" $$unsorted)) % 0.52/0.74 (define @t496 () (not (tptp.in @t495 @t2))) % 0.52/0.74 (define @t497 () (or @t496 @t494)) % 0.52/0.74 (define @t498 () (forall (@list @t2 @t495) @t497)) % 0.52/0.74 (define @t499 () (=> @t498 @t491)) % 0.52/0.74 (define @t500 () (_ @t67 @t19 @t4)) % 0.52/0.74 (define @t501 () (not (forall @t70 (or @t380 (not @t500))))) % 0.52/0.74 (define @t502 () (forall @t9 (= @t362 @t501))) % 0.52/0.74 (define @t503 () (not (forall @t41 (not @t502)))) % 0.52/0.74 (define @t504 () (@var "BOUND_VARIABLE_8012" $$unsorted)) % 0.52/0.74 (define @t505 () (= @t19 @t504)) % 0.52/0.74 (define @t506 () (_ @t67 @t4 @t19)) % 0.52/0.74 (define @t507 () (not (forall @t70 (or (not @t506) @t505)))) % 0.52/0.74 (define @t508 () (_ @t67 @t4 @t504)) % 0.52/0.74 (define @t509 () (@list @t504)) % 0.52/0.74 (define @t510 () (not (forall @t509 (or (not @t508) @t507)))) % 0.52/0.74 (define @t511 () (forall @t9 (or @t346 @t510))) % 0.52/0.74 (define @t512 () (forall @t81 (or (not @t511) @t503))) % 0.52/0.74 (define @t513 () (=> @t512 @t499)) % 0.52/0.74 (define @t514 () (@var "BOUND_VARIABLE_7993" $$unsorted)) % 0.52/0.74 (define @t515 () (tptp.in @t514 @t2)) % 0.52/0.74 (define @t516 () (not (tptp.in @t514 tptp.omega))) % 0.52/0.74 (define @t517 () (tptp.setadjoin @t4 @t4)) % 0.52/0.74 (define @t518 () (tptp.in @t517 @t2)) % 0.52/0.74 (define @t519 () (tptp.in @t4 tptp.omega)) % 0.52/0.74 (define @t520 () (not @t519)) % 0.52/0.74 (define @t521 () (forall @t9 (or @t520 @t346 @t518))) % 0.52/0.74 (define @t522 () (not @t521)) % 0.52/0.74 (define @t523 () (tptp.in tptp.emptyset @t2)) % 0.52/0.74 (define @t524 () (not @t523)) % 0.52/0.74 (define @t525 () (or @t524 @t522 @t516 @t515)) % 0.52/0.74 (define @t526 () (@list @t2 @t514)) % 0.52/0.74 (define @t527 () (forall @t526 @t525)) % 0.52/0.74 (define @t528 () (=> @t527 @t513)) % 0.52/0.74 (define @t529 () (tptp.in @t517 tptp.omega)) % 0.52/0.74 (define @t530 () (forall @t9 (or @t520 @t529))) % 0.52/0.74 (define @t531 () (=> @t530 @t528)) % 0.52/0.74 (define @t532 () (tptp.in tptp.emptyset tptp.omega)) % 0.52/0.74 (define @t533 () (=> @t50 @t531)) % 0.52/0.74 (define @t534 () (forall @t46 (= @t365 @t366))) % 0.52/0.74 (define @t535 () (=> @t534 @t533)) % 0.52/0.74 (define @t536 () (forall @t12 (= @t371 @t368))) % 0.52/0.74 (define @t537 () (=> @t536 @t535)) % 0.52/0.74 (define @t538 () (or @t129 @t376)) % 0.52/0.74 (define @t539 () (forall @t28 (= @t378 @t538))) % 0.52/0.74 (define @t540 () (=> @t539 @t537)) % 0.52/0.74 (define @t541 () (=> @t418 @t540)) % 0.52/0.74 (define @t542 () (forall @t9 (= @t345 @t362))) % 0.52/0.74 (define @t543 () (forall @t12 (or (not @t542) @t3))) % 0.52/0.74 (define @t544 () (=> @t543 @t541)) % 0.52/0.74 (define @t545 () (=> @t428 (=> true @t426))) % 0.52/0.74 (define @t546 () (=> @t430 @t545)) % 0.52/0.74 (define @t547 () (=> @t432 @t546)) % 0.52/0.74 (define @t548 () (=> @t438 @t547)) % 0.52/0.74 (define @t549 () (=> @t490 @t548)) % 0.52/0.74 (define @t550 () (=> @t498 @t549)) % 0.52/0.74 (define @t551 () (=> @t512 @t550)) % 0.52/0.74 (define @t552 () (=> @t527 @t551)) % 0.52/0.74 (define @t553 () (=> @t530 @t552)) % 0.52/0.74 (define @t554 () (=> @t50 @t553)) % 0.52/0.74 (define @t555 () (=> @t534 @t554)) % 0.52/0.74 (define @t556 () (=> @t536 @t555)) % 0.52/0.74 (define @t557 () (=> @t539 @t556)) % 0.52/0.74 (define @t558 () (=> @t418 @t557)) % 0.52/0.74 (define @t559 () (=> @t543 @t558)) % 0.52/0.74 (define @t560 () (not (= @t19 @t19))) % 0.52/0.74 (define @t561 () (or @t560 @t344)) % 0.52/0.74 (define @t562 () (or @t278 @t278 @t341)) % 0.52/0.74 (define @t563 () (or @t278 @t341)) % 0.52/0.74 (define @t564 () (forall @t9 @t563)) % 0.52/0.74 (define @t565 () (forall @t70 @t564)) % 0.52/0.74 (define @t566 () (forall (@list @t19 @t4) @t563)) % 0.52/0.74 (define @t567 () (or @t278 @t272)) % 0.52/0.74 (define @t568 () (=> tptp.eqinunit @t343)) % 0.52/0.74 (define @t569 () (or @t129 @t277)) % 0.52/0.74 (define @t570 () (=> tptp.notinsingleton @t568)) % 0.52/0.74 (define @t571 () (not @t272)) % 0.52/0.74 (define @t572 () (or @t571 @t129)) % 0.52/0.74 (define @t573 () (=> tptp.uniqinunit @t570)) % 0.52/0.74 (define @t574 () (not @t193)) % 0.52/0.74 (define @t575 () (not @t195)) % 0.52/0.74 (define @t576 () (_ @t337 @t2)) % 0.52/0.74 (define @t577 () (=> @t576 @t267)) % 0.52/0.74 (define @t578 () (forall @t64 @t577)) % 0.52/0.74 (define @t579 () (=> tptp.nonemptyImpWitness @t573)) % 0.52/0.74 (define @t580 () (or @t352 (= @t350 @t19))) % 0.52/0.74 (define @t581 () (forall @t70 @t580)) % 0.52/0.74 (define @t582 () (not @t581)) % 0.52/0.74 (define @t583 () (or @t355 @t353 @t582)) % 0.52/0.74 (define @t584 () (or @t353 @t582)) % 0.52/0.74 (define @t585 () (or @t584 @t355)) % 0.52/0.74 (define @t586 () (forall @t356 @t585)) % 0.52/0.74 (define @t587 () (@list @t350)) % 0.52/0.74 (define @t588 () (forall @t587 @t585)) % 0.52/0.74 (define @t589 () (forall @t587 @t584)) % 0.52/0.74 (define @t590 () (@list @t4)) % 0.52/0.74 (define @t591 () (or @t589 @t355)) % 0.52/0.74 (define @t592 () (forall @t70 (or @t352 @t129))) % 0.52/0.74 (define @t593 () (not @t592)) % 0.52/0.74 (define @t594 () (forall @t9 (or @t396 @t593))) % 0.52/0.74 (define @t595 () (not @t594)) % 0.52/0.74 (define @t596 () (not @t595)) % 0.52/0.74 (define @t597 () (= @t153 @t129)) % 0.52/0.74 (define @t598 () (not @t144)) % 0.52/0.74 (define @t599 () (or @t598 @t593)) % 0.52/0.74 (define @t600 () (not @t153)) % 0.52/0.74 (define @t601 () (or @t600 @t129)) % 0.52/0.74 (define @t602 () (_ @t145 @t19)) % 0.52/0.74 (define @t603 () (not @t602)) % 0.52/0.74 (define @t604 () (or @t603 @t129)) % 0.52/0.74 (define @t605 () (forall @t70 @t604)) % 0.52/0.74 (define @t606 () (not @t605)) % 0.52/0.74 (define @t607 () (_ @t145 @t4)) % 0.52/0.74 (define @t608 () (not @t607)) % 0.52/0.74 (define @t609 () (or @t608 @t606)) % 0.52/0.74 (define @t610 () (forall @t9 @t609)) % 0.52/0.74 (define @t611 () (not @t610)) % 0.52/0.74 (define @t612 () (lambda @t150 @t595)) % 0.52/0.74 (define @t613 () (_ @t612 @t145)) % 0.52/0.74 (define @t614 () (=> @t613 @t262)) % 0.52/0.74 (define @t615 () (forall @t150 @t614)) % 0.52/0.74 (define @t616 () (and @t144 @t592)) % 0.52/0.74 (define @t617 () (forall @t9 (not @t616))) % 0.52/0.74 (define @t618 () (not @t617)) % 0.52/0.74 (define @t619 () (=> tptp.exuE2 @t579)) % 0.52/0.74 (define @t620 () (or @t194 @t257)) % 0.52/0.74 (define @t621 () (=> tptp.subPowSU @t619)) % 0.52/0.74 (define @t622 () (not @t44)) % 0.52/0.74 (define @t623 () (or @t622 @t365)) % 0.52/0.74 (define @t624 () (not false)) % 0.52/0.74 (define @t625 () (and @t624 @t365)) % 0.52/0.74 (define @t626 () (or @t625 false)) % 0.52/0.74 (define @t627 () (not @t172)) % 0.52/0.74 (define @t628 () (and @t627 @t365)) % 0.52/0.74 (define @t629 () (not (= @t172 false))) % 0.52/0.74 (define @t630 () (or @t172 @t628 @t172)) % 0.52/0.74 (define @t631 () (or @t628 @t172)) % 0.52/0.74 (define @t632 () (or @t172 @t364)) % 0.52/0.74 (define @t633 () (not @t39)) % 0.52/0.74 (define @t634 () (not @t6)) % 0.52/0.74 (define @t635 () (or @t634 @t633)) % 0.52/0.74 (define @t636 () (forall @t41 @t635)) % 0.52/0.74 (define @t637 () (or @t172 @t636)) % 0.52/0.74 (define @t638 () (or @t172 @t635)) % 0.52/0.74 (define @t639 () (or @t634 @t633 @t172)) % 0.52/0.74 (define @t640 () (=> tptp.setunionE @t621)) % 0.52/0.74 (define @t641 () (or @t634 @t633 @t44)) % 0.52/0.74 (define @t642 () (=> tptp.setunionI @t640)) % 0.52/0.74 (define @t643 () (not @t35)) % 0.52/0.74 (define @t644 () (or @t643 @t634 @t7)) % 0.52/0.74 (define @t645 () (or @t634 @t7)) % 0.52/0.74 (define @t646 () (=> tptp.powersetE @t642)) % 0.52/0.74 (define @t647 () (=> tptp.emptyInPowerset @t646)) % 0.52/0.74 (define @t648 () (=> tptp.emptyinPowerset @t647)) % 0.52/0.74 (define @t649 () (or @t372 @t35)) % 0.52/0.74 (define @t650 () (=> tptp.powersetI @t648)) % 0.52/0.74 (define @t651 () (_ @t155 @t374)) % 0.52/0.74 (define @t652 () (= @t2 @t651)) % 0.52/0.74 (define @t653 () (=> tptp.setoftrueEq @t650)) % 0.52/0.74 (define @t654 () (not @t26)) % 0.52/0.74 (define @t655 () (or @t654 @t129 @t21)) % 0.52/0.74 (define @t656 () (or @t129 @t21)) % 0.52/0.74 (define @t657 () (=> tptp.setadjoinOr @t653)) % 0.52/0.74 (define @t658 () (or @t654 @t129 @t376)) % 0.52/0.74 (define @t659 () (and @t376 @t624)) % 0.52/0.74 (define @t660 () (and @t129 @t624)) % 0.52/0.74 (define @t661 () (or @t660 @t659)) % 0.52/0.74 (define @t662 () (or @t660 @t659 false)) % 0.52/0.74 (define @t663 () (and @t376 @t627)) % 0.52/0.74 (define @t664 () (and @t129 @t627)) % 0.52/0.74 (define @t665 () (or @t172 @t664 @t663 @t172)) % 0.52/0.74 (define @t666 () (or @t664 @t663 @t172)) % 0.52/0.74 (define @t667 () (and @t21 @t627)) % 0.52/0.74 (define @t668 () (or @t664 @t667 @t172)) % 0.52/0.74 (define @t669 () (=> @t129 @t172)) % 0.52/0.74 (define @t670 () (=> tptp.setadjoinE @t657)) % 0.52/0.74 (define @t671 () (not @t21)) % 0.52/0.74 (define @t672 () (or @t671 @t26)) % 0.52/0.74 (define @t673 () (=> tptp.setadjoinIR @t670)) % 0.52/0.74 (define @t674 () (=> tptp.emptyinunitempty @t673)) % 0.52/0.74 (define @t675 () (=> tptp.setadjoinIL @t674)) % 0.52/0.74 (define @t676 () (not (= tptp.emptyset tptp.emptyset))) % 0.52/0.74 (define @t677 () (or @t390 @t676)) % 0.52/0.74 (define @t678 () (not (tptp.in @t389 @t2))) % 0.52/0.74 (define @t679 () (or @t574 @t678 @t574)) % 0.52/0.74 (define @t680 () (or @t678 @t574)) % 0.52/0.74 (define @t681 () (forall @t64 @t680)) % 0.52/0.74 (define @t682 () (forall @t391 @t681)) % 0.52/0.74 (define @t683 () (forall (@list @t389 @t2) @t680)) % 0.52/0.74 (define @t684 () (forall (@list @t2 @t389) @t680)) % 0.52/0.74 (define @t685 () (forall @t391 @t680)) % 0.52/0.74 (define @t686 () (forall @t391 @t678)) % 0.52/0.74 (define @t687 () (or @t686 @t574)) % 0.52/0.74 (define @t688 () (not @t348)) % 0.52/0.74 (define @t689 () (=> @t89 @t576)) % 0.52/0.74 (define @t690 () (forall @t64 @t689)) % 0.52/0.74 (define @t691 () (=> tptp.nonemptyI1 @t675)) % 0.52/0.74 (define @t692 () (lambda @t70 @t351)) % 0.52/0.74 (define @t693 () (tptp.dsetconstr @t2 @t692)) % 0.52/0.74 (define @t694 () (= tptp.emptyset @t693)) % 0.52/0.74 (define @t695 () (not @t694)) % 0.52/0.74 (define @t696 () (or @t346 @t396 @t695)) % 0.52/0.74 (define @t697 () (= tptp.emptyset @t156)) % 0.52/0.74 (define @t698 () (not @t697)) % 0.52/0.74 (define @t699 () (or @t194 @t598 @t698)) % 0.52/0.74 (define @t700 () (=> @t144 @t698)) % 0.52/0.74 (define @t701 () (not (= @t156 tptp.emptyset))) % 0.52/0.74 (define @t702 () (_ @t337 @t156)) % 0.52/0.74 (define @t703 () (=> @t144 @t702)) % 0.52/0.74 (define @t704 () (=> @t7 @t703)) % 0.52/0.74 (define @t705 () (forall @t159 @t704)) % 0.52/0.74 (define @t706 () (=> tptp.nonemptyI @t691)) % 0.52/0.74 (define @t707 () (=> @t576 @t89)) % 0.52/0.74 (define @t708 () (forall @t64 @t707)) % 0.52/0.74 (define @t709 () (=> tptp.nonemptyE1 @t706)) % 0.52/0.74 (define @t710 () (tptp.in @t4 @t693)) % 0.52/0.74 (define @t711 () (= @t395 @t710)) % 0.52/0.74 (define @t712 () (or @t346 @t711)) % 0.52/0.74 (define @t713 () (= @t144 @t157)) % 0.52/0.74 (define @t714 () (or @t194 @t713)) % 0.52/0.74 (define @t715 () (=> tptp.setbeta @t709)) % 0.52/0.74 (define @t716 () (=> tptp.noeltsimpempty @t715)) % 0.52/0.74 (define @t717 () (=> tptp.emptyI @t716)) % 0.52/0.74 (define @t718 () (=> @t371 @t3)) % 0.52/0.74 (define @t719 () (or @t194 @t6)) % 0.52/0.74 (define @t720 () (=> tptp.setext @t717)) % 0.52/0.74 (define @t721 () (or @t352 (= @t411 @t19))) % 0.52/0.74 (define @t722 () (forall @t70 @t721)) % 0.52/0.74 (define @t723 () (not @t722)) % 0.52/0.74 (define @t724 () (or @t413 @t412 @t723)) % 0.52/0.74 (define @t725 () (or @t412 @t723)) % 0.52/0.74 (define @t726 () (or @t725 @t413)) % 0.52/0.74 (define @t727 () (forall @t414 @t726)) % 0.52/0.74 (define @t728 () (@list @t411)) % 0.52/0.74 (define @t729 () (forall @t728 @t726)) % 0.52/0.74 (define @t730 () (forall @t728 @t725)) % 0.52/0.74 (define @t731 () (or @t730 @t413)) % 0.52/0.74 (define @t732 () (forall @t9 @t598)) % 0.52/0.74 (define @t733 () (not @t732)) % 0.52/0.74 (define @t734 () (=> @t613 @t184)) % 0.52/0.74 (define @t735 () (forall @t150 @t734)) % 0.52/0.74 (define @t736 () (=> tptp.exuE3e @t720)) % 0.52/0.74 (define @t737 () (=> tptp.notinemptyset @t736)) % 0.52/0.74 (define @t738 () (=> tptp.emptysetimpfalse @t737)) % 0.52/0.74 (define @t739 () (or @t172 @t172)) % 0.52/0.74 (define @t740 () (=> tptp.emptysetE @t738)) % 0.52/0.74 (define @t741 () (@var "BOUND_VARIABLE_8406" $$unsorted)) % 0.52/0.74 (define @t742 () (@list @t741)) % 0.52/0.74 (define @t743 () (lambda @t742 false)) % 0.52/0.74 (define @t744 () (@list @t741)) % 0.52/0.74 (define @t745 () (tptp.dsetconstr @t424 @t743)) % 0.52/0.74 (define @t746 () (tptp.in @t4 @t745)) % 0.52/0.74 (define @t747 () (not @t746)) % 0.52/0.74 (define @t748 () (or @t747 false)) % 0.52/0.74 (define @t749 () (lambda @t742 @t172)) % 0.52/0.74 (define @t750 () (tptp.dsetconstr @t424 @t749)) % 0.52/0.74 (define @t751 () (tptp.in @t4 @t750)) % 0.52/0.74 (define @t752 () (not @t751)) % 0.52/0.74 (define @t753 () (or @t172 @t752 @t172)) % 0.52/0.74 (define @t754 () (or @t752 @t172)) % 0.52/0.74 (define @t755 () (forall @t177 @t754)) % 0.52/0.74 (define @t756 () (forall @t9 @t755)) % 0.52/0.74 (define @t757 () (forall (@list @t4 @t172) @t754)) % 0.52/0.74 (define @t758 () (_ @t334 @t749)) % 0.52/0.74 (define @t759 () (_ @t5 @t758)) % 0.52/0.74 (define @t760 () (not @t759)) % 0.52/0.74 (define @t761 () (or @t760 @t172)) % 0.52/0.74 (define @t762 () (=> (_ @t5 @t335) @t172)) % 0.52/0.74 (define @t763 () (_ @t336 @t172)) % 0.52/0.74 (define @t764 () (=> (_ @t5 @t763) @t172)) % 0.52/0.74 (define @t765 () (forall @t174 @t764)) % 0.52/0.74 (define @t766 () (=> tptp.prop2setE @t740)) % 0.52/0.74 (define @t767 () (=> @t613 @t168)) % 0.52/0.74 (define @t768 () (forall @t150 @t767)) % 0.52/0.74 (define @t769 () (=> tptp.exuE1 @t766)) % 0.52/0.74 (define @t770 () (not @t710)) % 0.52/0.74 (define @t771 () (or @t770 @t395)) % 0.52/0.74 (define @t772 () (not @t157)) % 0.52/0.74 (define @t773 () (or @t772 @t144)) % 0.52/0.74 (define @t774 () (=> tptp.dsetconstrER @t769)) % 0.52/0.74 (define @t775 () (or @t770 @t345)) % 0.52/0.74 (define @t776 () (or @t772 @t7)) % 0.52/0.74 (define @t777 () (=> tptp.dsetconstrEL @t774)) % 0.52/0.74 (define @t778 () (or @t346 @t396 @t710)) % 0.52/0.74 (define @t779 () (or @t194 @t598 @t157)) % 0.52/0.74 (define @t780 () (=> tptp.dsetconstrI @t777)) % 0.52/0.74 (define @t781 () (or @t352 (= @t434 @t19))) % 0.52/0.74 (define @t782 () (forall @t70 @t781)) % 0.52/0.74 (define @t783 () (not @t782)) % 0.52/0.74 (define @t784 () (or @t436 @t435 @t783)) % 0.52/0.74 (define @t785 () (or @t435 @t783)) % 0.52/0.74 (define @t786 () (or @t785 @t436)) % 0.52/0.74 (define @t787 () (forall @t437 @t786)) % 0.52/0.74 (define @t788 () (@list @t434)) % 0.52/0.74 (define @t789 () (forall @t788 @t786)) % 0.52/0.74 (define @t790 () (forall @t788 @t785)) % 0.52/0.74 (define @t791 () (or @t790 @t436)) % 0.52/0.74 (define @t792 () (lambda @t9 @t395)) % 0.52/0.74 (define @t793 () (tptp.descr @t792)) % 0.52/0.74 (define @t794 () (_ @t143 @t793)) % 0.52/0.74 (define @t795 () (or @t594 @t794)) % 0.52/0.74 (define @t796 () (or @t594 @t147)) % 0.52/0.74 (define @t797 () (=> @t613 @t147)) % 0.52/0.74 (define @t798 () (forall @t150 @t797)) % 0.52/0.74 (define @t799 () (=> tptp.descrp @t780)) % 0.52/0.74 (define @t800 () (and @t487 @t480 @t476 @t464)) % 0.52/0.74 (define @t801 () (forall @t41 (not @t800))) % 0.52/0.74 (define @t802 () (not @t801)) % 0.52/0.74 (define @t803 () (@list @t459)) % 0.52/0.74 (define @t804 () (forall @t803 @t463)) % 0.52/0.74 (define @t805 () (forall @t803 @t460)) % 0.52/0.74 (define @t806 () (or @t462 @t805 @t458)) % 0.52/0.74 (define @t807 () (forall @t9 @t455)) % 0.52/0.74 (define @t808 () (or @t462 @t807 @t458)) % 0.52/0.74 (define @t809 () (not @t807)) % 0.52/0.74 (define @t810 () (and @t461 @t809)) % 0.52/0.74 (define @t811 () (not @t109)) % 0.52/0.74 (define @t812 () (not @t110)) % 0.52/0.74 (define @t813 () (or @t812 @t811 @t453 @t449)) % 0.52/0.74 (define @t814 () (and @t110 @t109 @t452 @t448)) % 0.52/0.74 (define @t815 () (forall @t112 (not @t814))) % 0.52/0.74 (define @t816 () (not @t815)) % 0.52/0.74 (define @t817 () (or @t442 @t441)) % 0.52/0.74 (define @t818 () (or @t445 @t817 @t443)) % 0.52/0.74 (define @t819 () (forall @t447 @t818)) % 0.52/0.74 (define @t820 () (@list @t440)) % 0.52/0.74 (define @t821 () (forall @t820 @t818)) % 0.52/0.74 (define @t822 () (forall @t820 @t817)) % 0.52/0.74 (define @t823 () (or @t445 @t822 @t443)) % 0.52/0.74 (define @t824 () (tptp.in @t19 @t93)) % 0.52/0.74 (define @t825 () (forall @t70 (or (not @t824) @t451))) % 0.52/0.74 (define @t826 () (not @t100)) % 0.52/0.74 (define @t827 () (or @t826 @t825 @t94)) % 0.52/0.74 (define @t828 () (or @t825 @t94)) % 0.52/0.74 (define @t829 () (not @t97)) % 0.52/0.74 (define @t830 () (or @t829 @t96)) % 0.52/0.74 (define @t831 () (not @t105)) % 0.52/0.74 (define @t832 () (not @t96)) % 0.52/0.74 (define @t833 () (or @t832 @t831)) % 0.52/0.74 (define @t834 () (forall @t70 (not @t106))) % 0.52/0.74 (define @t835 () (not @t834)) % 0.52/0.74 (define @t836 () (forall @t9 @t811)) % 0.52/0.74 (define @t837 () (not @t836)) % 0.52/0.74 (define @t838 () (or @t811 @t7)) % 0.52/0.74 (define @t839 () (or @t468 @t467)) % 0.52/0.74 (define @t840 () (or @t471 @t470)) % 0.52/0.74 (define @t841 () (or @t473 @t457 @t840 @t839)) % 0.52/0.74 (define @t842 () (forall @t475 @t841)) % 0.52/0.74 (define @t843 () (forall (@list @t469 @t466) @t841)) % 0.52/0.74 (define @t844 () (forall (@list @t466) @t839)) % 0.52/0.74 (define @t845 () (forall (@list @t469) @t840)) % 0.52/0.74 (define @t846 () (or @t473 @t457 @t845 @t844)) % 0.52/0.74 (define @t847 () (tptp.in @t4 @t95)) % 0.52/0.74 (define @t848 () (forall @t9 (or (not @t847) @t454))) % 0.52/0.74 (define @t849 () (forall @t9 (or @t455 @t847))) % 0.52/0.74 (define @t850 () (not @t124)) % 0.52/0.74 (define @t851 () (or @t850 @t812 @t849 @t848)) % 0.52/0.74 (define @t852 () (or @t849 @t848)) % 0.52/0.74 (define @t853 () (not @t120)) % 0.52/0.74 (define @t854 () (or @t853 @t109)) % 0.52/0.74 (define @t855 () (or @t811 @t120)) % 0.52/0.74 (define @t856 () (or @t194 @t671 @t479 @t129)) % 0.52/0.74 (define @t857 () (=> @t478 @t129)) % 0.52/0.74 (define @t858 () (or @t850 @t130)) % 0.52/0.74 (define @t859 () (or @t484 @t483)) % 0.52/0.74 (define @t860 () (or @t473 @t859)) % 0.52/0.74 (define @t861 () (forall @t486 @t860)) % 0.52/0.74 (define @t862 () (@list @t482)) % 0.52/0.74 (define @t863 () (forall @t862 @t860)) % 0.52/0.74 (define @t864 () (forall @t862 @t859)) % 0.52/0.74 (define @t865 () (or @t473 @t864)) % 0.52/0.74 (define @t866 () (or @t850 @t461)) % 0.52/0.74 (define @t867 () (=> tptp.wellorderingAx @t799)) % 0.52/0.74 (define @t868 () (@list @t495)) % 0.52/0.74 (define @t869 () (forall @t868 @t497)) % 0.52/0.74 (define @t870 () (forall @t868 @t496)) % 0.52/0.74 (define @t871 () (or @t870 @t494)) % 0.52/0.74 (define @t872 () (or @t633 @t493)) % 0.52/0.74 (define @t873 () (and @t39 @t492)) % 0.52/0.74 (define @t874 () (forall @t41 (not @t873))) % 0.52/0.74 (define @t875 () (not @t874)) % 0.52/0.74 (define @t876 () (or @t634 @t194)) % 0.52/0.74 (define @t877 () (forall @t9 (not @t84))) % 0.52/0.74 (define @t878 () (not @t877)) % 0.52/0.74 (define @t879 () (=> tptp.foundationAx @t867)) % 0.52/0.74 (define @t880 () (= @t6 @t501)) % 0.52/0.74 (define @t881 () (not @t68)) % 0.52/0.74 (define @t882 () (or @t671 @t881)) % 0.52/0.74 (define @t883 () (forall @t70 (not @t69))) % 0.52/0.74 (define @t884 () (not @t883)) % 0.52/0.74 (define @t885 () (or @t194 @t510)) % 0.52/0.74 (define @t886 () (_ @t75 @t504)) % 0.52/0.74 (define @t887 () (not @t886)) % 0.52/0.74 (define @t888 () (or @t887 @t507)) % 0.52/0.74 (define @t889 () (not @t76)) % 0.52/0.74 (define @t890 () (or @t889 @t505)) % 0.52/0.74 (define @t891 () (_ @t77 @t19)) % 0.52/0.74 (define @t892 () (not @t891)) % 0.52/0.74 (define @t893 () (or @t892 @t505)) % 0.52/0.74 (define @t894 () (forall @t70 @t893)) % 0.52/0.74 (define @t895 () (not @t894)) % 0.52/0.74 (define @t896 () (_ @t77 @t504)) % 0.52/0.74 (define @t897 () (not @t896)) % 0.52/0.74 (define @t898 () (or @t897 @t895)) % 0.52/0.74 (define @t899 () (forall @t509 @t898)) % 0.52/0.74 (define @t900 () (not @t899)) % 0.52/0.74 (define @t901 () (not (_ @t143 @t504))) % 0.52/0.74 (define @t902 () (or @t352 (= @t504 @t19))) % 0.52/0.74 (define @t903 () (forall @t70 @t902)) % 0.52/0.74 (define @t904 () (not @t903)) % 0.52/0.74 (define @t905 () (or @t901 @t904)) % 0.52/0.74 (define @t906 () (forall @t509 @t905)) % 0.52/0.74 (define @t907 () (not @t906)) % 0.52/0.74 (define @t908 () (=> @t7 (_ @t612 @t77))) % 0.52/0.74 (define @t909 () (forall @t9 @t908)) % 0.52/0.74 (define @t910 () (=> @t909 @t74)) % 0.52/0.74 (define @t911 () (forall @t81 @t910)) % 0.52/0.74 (define @t912 () (=> tptp.replAx @t879)) % 0.52/0.74 (define @t913 () (or @t516 @t515)) % 0.52/0.74 (define @t914 () (or @t524 @t522 @t913)) % 0.52/0.74 (define @t915 () (forall @t526 @t914)) % 0.52/0.74 (define @t916 () (@list @t514)) % 0.52/0.74 (define @t917 () (forall @t916 @t914)) % 0.52/0.74 (define @t918 () (forall @t916 @t913)) % 0.52/0.74 (define @t919 () (or @t524 @t522 @t918)) % 0.52/0.74 (define @t920 () (forall @t9 (or @t520 @t345))) % 0.52/0.74 (define @t921 () (not @t61)) % 0.52/0.74 (define @t922 () (or @t921 @t522 @t920)) % 0.52/0.74 (define @t923 () (and @t61 @t521)) % 0.52/0.74 (define @t924 () (not @t54)) % 0.52/0.74 (define @t925 () (or @t924 @t7)) % 0.52/0.74 (define @t926 () (_ tptp.in @t517)) % 0.52/0.74 (define @t927 () (or @t924 @t194 @t58)) % 0.52/0.74 (define @t928 () (=> tptp.omegaIndAx @t912)) % 0.52/0.74 (define @t929 () (or @t924 @t53)) % 0.52/0.74 (define @t930 () (=> tptp.omegaSAx @t928)) % 0.52/0.74 (define @t931 () (=> tptp.omega0Ax @t930)) % 0.52/0.74 (define @t932 () (= @t44 @t365)) % 0.52/0.74 (define @t933 () (forall @t41 (not @t40))) % 0.52/0.74 (define @t934 () (not @t933)) % 0.52/0.74 (define @t935 () (=> tptp.setunionAx @t931)) % 0.52/0.74 (define @t936 () (= @t35 @t371)) % 0.52/0.74 (define @t937 () (=> tptp.powersetAx @t935)) % 0.52/0.74 (define @t938 () (= @t26 @t656)) % 0.52/0.74 (define @t939 () (=> tptp.setadjoinAx @t937)) % 0.52/0.74 (define @t940 () (=> tptp.emptysetAx @t939)) % 0.52/0.74 (define @t941 () (=> tptp.setextAx @t940)) % 0.52/0.74 (define @t942 () (or @t571 @t276)) % 0.52/0.74 (define @t943 () (@quantifiers_skolemize @t343 0)) % 0.52/0.74 (define @t944 () (@quantifiers_skolemize @t343 1)) % 0.52/0.74 (define @t945 () (tptp.in @t944 (tptp.setadjoin @t943 tptp.emptyset))) % 0.52/0.74 (define @t946 () (tptp.setadjoin @t944 tptp.emptyset)) % 0.52/0.74 (define @t947 () (tptp.in @t943 @t946)) % 0.52/0.74 (define @t948 () (not @t947)) % 0.52/0.74 (define @t949 () (or @t948 @t945)) % 0.52/0.74 (define @t950 () (@list true)) % 0.52/0.74 (define @t951 () (@list @t949)) % 0.52/0.74 (define @t952 () (= @t943 @t944)) % 0.52/0.74 (define @t953 () (or @t948 @t952)) % 0.52/0.74 (assume @p1 @t14) % 0.52/0.74 (assume @p2 @t18) % 0.52/0.74 (assume @p3 @t30) % 0.52/0.74 (assume @p4 @t38) % 0.52/0.74 (assume @p5 @t48) % 0.52/0.74 (assume @p6 (= tptp.omega0Ax @t50)) % 0.52/0.74 (assume @p7 @t56) % 0.52/0.74 (assume @p8 @t66) % 0.52/0.74 (assume @p9 @t83) % 0.52/0.74 (assume @p10 @t92) % 0.52/0.74 (assume @p11 @t142) % 0.52/0.74 (assume @p12 @t152) % 0.52/0.74 (assume @p13 @t161) % 0.52/0.74 (assume @p14 @t163) % 0.52/0.74 (assume @p15 @t165) % 0.52/0.74 (assume @p16 @t171) % 0.52/0.74 (assume @p17 @t176) % 0.52/0.74 (assume @p18 @t181) % 0.52/0.74 (assume @p19 @t183) % 0.52/0.74 (assume @p20 (= tptp.notinemptyset @t17)) % 0.52/0.74 (assume @p21 @t187) % 0.52/0.74 (assume @p22 @t192) % 0.52/0.74 (assume @p23 @t198) % 0.52/0.74 (assume @p24 (= tptp.noeltsimpempty @t197)) % 0.52/0.74 (assume @p25 @t201) % 0.52/0.74 (assume @p26 @t205) % 0.52/0.74 (assume @p27 @t209) % 0.52/0.74 (assume @p28 @t212) % 0.52/0.74 (assume @p29 @t216) % 0.52/0.74 (assume @p30 (= tptp.emptyinunitempty @t218)) % 0.52/0.74 (assume @p31 @t220) % 0.52/0.74 (assume @p32 @t228) % 0.52/0.74 (assume @p33 @t231) % 0.52/0.74 (assume @p34 @t235) % 0.52/0.74 (assume @p35 @t238) % 0.52/0.74 (assume @p36 @t241) % 0.52/0.74 (assume @p37 (= tptp.emptyInPowerset @t240)) % 0.52/0.74 (assume @p38 @t244) % 0.52/0.74 (assume @p39 @t248) % 0.52/0.74 (assume @p40 @t255) % 0.52/0.74 (assume @p41 @t259) % 0.52/0.74 (assume @p42 @t265) % 0.52/0.74 (assume @p43 @t270) % 0.52/0.74 (assume @p44 @t274) % 0.52/0.74 (assume @p45 @t280) % 0.52/0.74 (assume @p46 @t282) % 0.52/0.74 (assume @p47 @t330) % 0.52/0.74 (assume @p48 true) % 0.52/0.74 (step @p49 (= tptp.exu @t331) :rule refl :args (@t331)) % 0.52/0.74 (step @p50 (= tptp.prop2set @t336) :rule refl :args (@t336)) % 0.52/0.74 (step @p51 (= tptp.nonempty @t337) :rule refl :args (@t337)) % 0.52/0.74 (step @p52 :rule evaluate :args ((= true false))) % 0.52/0.74 (step @p53 :rule refl :args (@t381)) % 0.52/0.74 (step @p54 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.52/0.74 (step @p55 :rule refl :args (@t382)) % 0.52/0.74 (step @p56 :rule refl :args (tptp.emptyset)) % 0.52/0.74 (step @p57 :rule cong :premises (@p56 @p55) :args (@t383)) % 0.52/0.74 (step @p58 :rule trans :premises (@p57 @p54)) % 0.52/0.74 (step @p59 :rule refl :args (@t49)) % 0.52/0.74 (step @p60 :rule ho_cong :premises (@p59 @p55)) % 0.52/0.74 (step @p61 :rule cong :premises (@p60 @p58) :args ((= (_ @t49 @t382) @t383))) % 0.52/0.74 (step @p62 :rule symm :premises (@p61)) % 0.52/0.74 (step @p63 :rule refl :args (@t218)) % 0.52/0.74 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.52/0.74 (step @p65 :rule refl :args (@t217)) % 0.52/0.74 (step @p66 :rule cong :premises (@p65 @p55) :args ((= @t217 @t382))) % 0.52/0.74 (step @p67 :rule symm :premises (@p66)) % 0.52/0.74 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.52/0.74 (step @p69 :rule refl :args (@t49)) % 0.52/0.74 (step @p70 :rule ho_cong :premises (@p69 @p68)) % 0.52/0.74 (step @p71 :rule trans :premises (@p70 @p64)) % 0.52/0.74 (step @p72 :rule cong :premises (@p71 @p53) :args (@t384)) % 0.52/0.74 (step @p73 :rule refl :args (@t387)) % 0.52/0.74 (step @p74 :rule cong :premises (@p73 @p72) :args (@t388)) % 0.52/0.74 (step @p75 :rule refl :args (@t392)) % 0.52/0.74 (step @p76 :rule cong :premises (@p75 @p74) :args (@t393)) % 0.52/0.74 (step @p77 :rule refl :args (@t397)) % 0.52/0.74 (step @p78 :rule cong :premises (@p77 @p76) :args (@t398)) % 0.52/0.74 (step @p79 :rule refl :args (@t349)) % 0.52/0.74 (step @p80 :rule cong :premises (@p79 @p78) :args (@t399)) % 0.52/0.74 (step @p81 :rule refl :args (@t401)) % 0.52/0.74 (step @p82 :rule cong :premises (@p81 @p80) :args (@t402)) % 0.52/0.74 (step @p83 :rule refl :args (@t403)) % 0.52/0.74 (step @p84 :rule cong :premises (@p83 @p82) :args (@t404)) % 0.52/0.74 (step @p85 :rule cong :premises (@p83 @p84) :args (@t405)) % 0.52/0.74 (step @p86 :rule refl :args (@t409)) % 0.52/0.74 (step @p87 :rule cong :premises (@p86 @p85) :args (@t410)) % 0.52/0.74 (step @p88 :rule refl :args (@t415)) % 0.52/0.74 (step @p89 :rule cong :premises (@p88 @p87) :args (@t416)) % 0.52/0.74 (step @p90 :rule 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:rule not_implies_elim2 :premises (@p1886)) % 0.52/0.74 (step @p1888 :rule not_implies_elim2 :premises (@p1887)) % 0.52/0.74 (step @p1889 :rule not_implies_elim2 :premises (@p1888)) % 0.52/0.74 (step @p1890 :rule not_implies_elim2 :premises (@p1889)) % 0.52/0.74 (step @p1891 :rule skolemize :premises (@p1890)) % 0.52/0.74 (step @p1892 :rule cnf_or_neg :args (@t949 1)) % 0.52/0.74 (step @p1893 :rule chain_m_resolution :premises (@p1892 @p1891) :args ((not @t945) @t950 @t951)) % 0.52/0.74 (step @p1894 :rule false_intro :premises (@p1893)) % 0.52/0.74 (step @p1895 :rule not_implies_elim1 :premises (@p1887)) % 0.52/0.74 (step @p1896 :rule instantiate :premises (@p1895) :args ((@list @t943 @t944))) % 0.52/0.74 (step @p1897 :rule bool-double-not-elim :args (@t947)) % 0.52/0.74 (step @p1898 :rule refl :args (@t949)) % 0.52/0.74 (step @p1899 :rule nary_cong :premises (@p1898 @p1897) :args ((or @t949 (not @t948)))) % 0.52/0.74 (step @p1900 :rule cnf_or_neg :args (@t949 0)) % 0.52/0.74 (step @p1901 :rule eq_resolve :premises (@p1900 @p1899)) % 0.52/0.74 (step @p1902 :rule reordering :premises (@p1901) :args ((or @t947 @t949))) % 0.52/0.74 (step @p1903 :rule chain_m_resolution :premises (@p1902 @p1891) :args (@t947 @t950 @t951)) % 0.52/0.74 (step @p1904 :rule cnf_or_pos :args (@t953)) % 0.52/0.74 (step @p1905 :rule reordering :premises (@p1904) :args ((or @t948 @t952 (not @t953)))) % 0.52/0.74 (step @p1906 :rule chain_m_resolution :premises (@p1905 @p1903 @p1896) :args (@t952 (@list false false) (@list @t947 @t953))) % 0.52/0.74 (step @p1907 :rule symm :premises (@p1906)) % 0.52/0.74 (step @p1908 :rule cong :premises (@p1907 @p782) :args (@t946)) % 0.52/0.74 (step @p1909 :rule cong :premises (@p1906 @p1908) :args (@t947)) % 0.52/0.74 (step @p1910 :rule true_intro :premises (@p1903)) % 0.52/0.74 (step @p1911 :rule symm :premises (@p1910)) % 0.52/0.74 (step @p1912 :rule trans :premises (@p1911 @p1909 @p1894)) % 0.52/0.74 (step @p1913 false :rule eq_resolve :premises (@p1912 @p52)) % 0.52/0.74 ) % 0.52/0.74 % SZS output end Proof % 0.52/0.74 % cvc5 exiting %------------------------------------------------------------------------------