%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU534^1 : 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 : n007.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 08:52:06 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 : SEU534^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:40:11 EDT 2026 % 0.16/0.35 % 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) $$unsorted)) % 0.37/0.75 (declare-const tptp.upairsetIR Bool) % 0.37/0.75 (declare-const tptp.upairsetIL Bool) % 0.37/0.75 (declare-const tptp.upairsetE Bool) % 0.37/0.75 (declare-const tptp.notinsingleton Bool) % 0.37/0.75 (declare-const tptp.subPowSU Bool) % 0.37/0.75 (declare-const tptp.setunionE Bool) % 0.37/0.75 (declare-const tptp.setunionI Bool) % 0.37/0.75 (declare-const tptp.powersetE Bool) % 0.37/0.75 (declare-const tptp.emptyInPowerset Bool) % 0.37/0.75 (declare-const tptp.setoftrueEq Bool) % 0.37/0.75 (declare-const tptp.uniqinunit Bool) % 0.37/0.75 (declare-const tptp.setadjoinOr Bool) % 0.37/0.75 (declare-const tptp.setadjoinE Bool) % 0.37/0.75 (declare-const tptp.emptyinunitempty Bool) % 0.37/0.75 (declare-const tptp.nonemptyI1 Bool) % 0.37/0.75 (declare-const tptp.nonemptyI Bool) % 0.37/0.75 (declare-const tptp.nonemptyE1 Bool) % 0.37/0.75 (declare-const tptp.noeltsimpempty Bool) % 0.37/0.75 (declare-const tptp.emptyI Bool) % 0.37/0.75 (declare-const tptp.omegaIndAx Bool) % 0.37/0.75 (declare-const tptp.omega0Ax Bool) % 0.37/0.75 (declare-const tptp.setadjoinIL Bool) % 0.37/0.75 (declare-const tptp.setunion (-> $$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.upairsetIR @t298)) % 0.37/0.75 (define @t300 () (_ @t155 @t145)) % 0.37/0.75 (define @t301 () (= @t300 tptp.emptyset)) % 0.37/0.75 (define @t302 () (and @t7 @t144)) % 0.37/0.75 (define @t303 () (exists @t9 @t302)) % 0.37/0.75 (define @t304 () (=> @t303 (=> @t301 false))) % 0.37/0.75 (define @t305 () (@list @t2 @t143)) % 0.37/0.75 (define @t306 () (forall @t305 @t304)) % 0.37/0.75 (define @t307 () (=> tptp.upairsetIR @t306)) % 0.37/0.75 (define @t308 () (=> tptp.upairsetIL @t307)) % 0.37/0.75 (define @t309 () (=> tptp.upairsetE @t308)) % 0.37/0.75 (define @t310 () (=> tptp.singletonsswitch @t309)) % 0.37/0.75 (define @t311 () (=> tptp.eqinunit @t310)) % 0.37/0.75 (define @t312 () (=> tptp.notinsingleton @t311)) % 0.37/0.75 (define @t313 () (=> tptp.uniqinunit @t312)) % 0.37/0.75 (define @t314 () (=> tptp.nonemptyImpWitness @t313)) % 0.37/0.75 (define @t315 () (=> tptp.exuE2 @t314)) % 0.37/0.75 (define @t316 () (=> tptp.subPowSU @t315)) % 0.37/0.75 (define @t317 () (=> tptp.setunionE @t316)) % 0.37/0.75 (define @t318 () (=> tptp.setunionI @t317)) % 0.37/0.75 (define @t319 () (=> tptp.powersetE @t318)) % 0.37/0.75 (define @t320 () (=> tptp.emptyInPowerset @t319)) % 0.37/0.75 (define @t321 () (=> tptp.emptyinPowerset @t320)) % 0.37/0.75 (define @t322 () (=> tptp.powersetI @t321)) % 0.37/0.75 (define @t323 () (=> tptp.setoftrueEq @t322)) % 0.37/0.75 (define @t324 () (=> tptp.setadjoinOr @t323)) % 0.37/0.75 (define @t325 () (=> tptp.setadjoinE @t324)) % 0.37/0.75 (define @t326 () (=> tptp.setadjoinIR @t325)) % 0.37/0.75 (define @t327 () (=> tptp.emptyinunitempty @t326)) % 0.37/0.75 (define @t328 () (=> tptp.setadjoinIL @t327)) % 0.37/0.75 (define @t329 () (=> tptp.nonemptyI1 @t328)) % 0.37/0.75 (define @t330 () (=> tptp.nonemptyI @t329)) % 0.37/0.75 (define @t331 () (=> tptp.nonemptyE1 @t330)) % 0.37/0.75 (define @t332 () (=> tptp.setbeta @t331)) % 0.37/0.75 (define @t333 () (=> tptp.noeltsimpempty @t332)) % 0.37/0.75 (define @t334 () (=> tptp.emptyI @t333)) % 0.37/0.75 (define @t335 () (=> tptp.setext @t334)) % 0.37/0.75 (define @t336 () (=> tptp.exuE3e @t335)) % 0.37/0.75 (define @t337 () (=> tptp.notinemptyset @t336)) % 0.37/0.75 (define @t338 () (=> tptp.emptysetimpfalse @t337)) % 0.37/0.75 (define @t339 () (=> tptp.emptysetE @t338)) % 0.37/0.75 (define @t340 () (=> tptp.prop2setE @t339)) % 0.37/0.75 (define @t341 () (=> tptp.exuE1 @t340)) % 0.37/0.75 (define @t342 () (=> tptp.dsetconstrER @t341)) % 0.37/0.75 (define @t343 () (=> tptp.dsetconstrEL @t342)) % 0.37/0.75 (define @t344 () (=> tptp.dsetconstrI @t343)) % 0.37/0.75 (define @t345 () (=> tptp.descrp @t344)) % 0.37/0.75 (define @t346 () (=> tptp.wellorderingAx @t345)) % 0.37/0.75 (define @t347 () (=> tptp.foundationAx @t346)) % 0.37/0.75 (define @t348 () (=> tptp.replAx @t347)) % 0.37/0.75 (define @t349 () (=> tptp.omegaIndAx @t348)) % 0.37/0.75 (define @t350 () (=> tptp.omegaSAx @t349)) % 0.37/0.75 (define @t351 () (=> tptp.omega0Ax @t350)) % 0.37/0.75 (define @t352 () (=> tptp.setunionAx @t351)) % 0.37/0.75 (define @t353 () (=> tptp.powersetAx @t352)) % 0.37/0.75 (define @t354 () (=> tptp.setadjoinAx @t353)) % 0.37/0.75 (define @t355 () (=> tptp.emptysetAx @t354)) % 0.37/0.75 (define @t356 () (=> tptp.setextAx @t355)) % 0.37/0.75 (define @t357 () (not @t356)) % 0.37/0.75 (define @t358 () (lambda @t150 @t168)) % 0.37/0.75 (define @t359 () (lambda @t9 @t172)) % 0.37/0.75 (define @t360 () (_ tptp.powerset tptp.emptyset)) % 0.37/0.75 (define @t361 () (_ tptp.dsetconstr @t360)) % 0.37/0.75 (define @t362 () (_ @t361 @t359)) % 0.37/0.75 (define @t363 () (lambda @t177 @t362)) % 0.37/0.75 (define @t364 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.37/0.75 (define @t365 () (@var "BOUND_VARIABLE_8873" $$unsorted)) % 0.37/0.75 (define @t366 () (not (_ @t143 @t365))) % 0.37/0.75 (define @t367 () (not (tptp.in @t365 @t2))) % 0.37/0.75 (define @t368 () (tptp.dsetconstr @t2 @t143)) % 0.37/0.75 (define @t369 () (not (= tptp.emptyset @t368))) % 0.37/0.75 (define @t370 () (or @t369 @t367 @t366)) % 0.37/0.75 (define @t371 () (@list @t2 @t143 @t365)) % 0.37/0.75 (define @t372 () (forall @t371 @t370)) % 0.37/0.75 (define @t373 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.37/0.75 (define @t374 () (tptp.setadjoin @t4 @t373)) % 0.37/0.75 (define @t375 () (tptp.in @t19 @t374)) % 0.37/0.75 (define @t376 () (tptp.in @t4 @t374)) % 0.37/0.75 (define @t377 () (= @t19 @t285)) % 0.37/0.75 (define @t378 () (= @t4 @t285)) % 0.37/0.75 (define @t379 () (tptp.in @t285 @t374)) % 0.37/0.75 (define @t380 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.37/0.75 (define @t381 () (tptp.in @t19 @t380)) % 0.37/0.75 (define @t382 () (tptp.in @t4 @t373)) % 0.37/0.75 (define @t383 () (not @t382)) % 0.37/0.75 (define @t384 () (tptp.in @t19 @t373)) % 0.37/0.75 (define @t385 () (tptp.in @t4 @t2)) % 0.37/0.75 (define @t386 () (not @t385)) % 0.37/0.75 (define @t387 () (forall @t9 @t386)) % 0.37/0.75 (define @t388 () (not @t387)) % 0.37/0.75 (define @t389 () (forall @t64 (or @t193 @t388))) % 0.37/0.75 (define @t390 () (@var "BOUND_VARIABLE_8757" $$unsorted)) % 0.37/0.75 (define @t391 () (_ @t143 @t19)) % 0.37/0.75 (define @t392 () (not @t391)) % 0.37/0.75 (define @t393 () (not (_ @t143 @t390))) % 0.37/0.75 (define @t394 () (forall @t70 (= @t129 @t391))) % 0.37/0.75 (define @t395 () (not (forall @t9 (not @t394)))) % 0.37/0.75 (define @t396 () (@list @t143 @t390)) % 0.37/0.75 (define @t397 () (tptp.setunion @t2)) % 0.37/0.75 (define @t398 () (tptp.powerset @t397)) % 0.37/0.75 (define @t399 () (tptp.in @t4 @t398)) % 0.37/0.75 (define @t400 () (tptp.in @t1 @t2)) % 0.37/0.75 (define @t401 () (not @t400)) % 0.37/0.75 (define @t402 () (tptp.in @t4 @t1)) % 0.37/0.75 (define @t403 () (not @t402)) % 0.37/0.75 (define @t404 () (forall @t41 (or @t403 @t401))) % 0.37/0.75 (define @t405 () (not @t404)) % 0.37/0.75 (define @t406 () (tptp.in @t4 @t397)) % 0.37/0.75 (define @t407 () (tptp.powerset @t2)) % 0.37/0.75 (define @t408 () (tptp.in @t1 @t407)) % 0.37/0.75 (define @t409 () (tptp.in tptp.emptyset @t407)) % 0.37/0.75 (define @t410 () (forall @t64 @t409)) % 0.37/0.75 (define @t411 () (forall @t9 (or @t403 @t385))) % 0.37/0.75 (define @t412 () (not @t411)) % 0.37/0.75 (define @t413 () (@var "BOUND_VARIABLE_16048" $$unsorted)) % 0.37/0.75 (define @t414 () (lambda (@list @t413) true)) % 0.37/0.75 (define @t415 () (tptp.dsetconstr @t2 @t414)) % 0.37/0.75 (define @t416 () (tptp.in @t19 @t2)) % 0.37/0.75 (define @t417 () (tptp.setadjoin @t4 @t2)) % 0.37/0.75 (define @t418 () (tptp.in @t19 @t417)) % 0.37/0.75 (define @t419 () (forall @t28 (or (not @t418) @t129 @t416))) % 0.37/0.75 (define @t420 () (not @t416)) % 0.37/0.75 (define @t421 () (=> (forall @t28 (or @t420 @t418)) (=> @t419 (=> @t419 (=> (forall @t64 (= @t2 @t415)) (=> (forall @t12 (or @t412 @t408)) (=> @t410 (=> @t410 (=> (forall @t242 (or (not @t408) @t403 @t385)) (=> (forall @t246 (or @t403 @t401 @t406)) (=> (forall @t46 (or (not @t406) @t405)) (=> (forall @t46 (or @t386 @t399)) (=> (forall @t396 (or @t395 @t393 (not (forall @t70 (or @t392 (= @t19 @t390)))))) (=> @t389 (=> (forall @t135 (or @t383 @t129)) (=> (forall @t135 (or @t129 (not @t381))) (=> (forall @t70 @t384) (=> (forall @t135 (or @t383 @t381)) (=> (forall @t291 (or (not @t379) @t378 @t377)) (=> (forall @t135 @t376) (=> (forall @t135 @t375) @t372))))))))))))))))))))) % 0.37/0.75 (define @t422 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.37/0.75 (define @t423 () (tptp.in tptp.emptyset @t422)) % 0.37/0.75 (define @t424 () (=> @t218 @t421)) % 0.37/0.75 (define @t425 () (tptp.setadjoin @t4 @t19)) % 0.37/0.75 (define @t426 () (tptp.in @t4 @t425)) % 0.37/0.75 (define @t427 () (forall @t135 @t426)) % 0.37/0.75 (define @t428 () (=> @t427 @t424)) % 0.37/0.75 (define @t429 () (@var "BOUND_VARIABLE_8598" $$unsorted)) % 0.37/0.75 (define @t430 () (not (tptp.in @t429 tptp.emptyset))) % 0.37/0.75 (define @t431 () (@list @t429)) % 0.37/0.75 (define @t432 () (forall @t431 @t430)) % 0.37/0.75 (define @t433 () (=> @t432 @t428)) % 0.37/0.75 (define @t434 () (_ @t143 @t4)) % 0.37/0.75 (define @t435 () (not @t434)) % 0.37/0.75 (define @t436 () (forall @t159 (or @t386 @t435 @t369))) % 0.37/0.75 (define @t437 () (=> @t436 @t433)) % 0.37/0.75 (define @t438 () (=> @t389 @t437)) % 0.37/0.75 (define @t439 () (tptp.in @t4 @t368)) % 0.37/0.75 (define @t440 () (forall @t159 (or @t386 (= @t434 @t439)))) % 0.37/0.75 (define @t441 () (=> @t440 @t438)) % 0.37/0.75 (define @t442 () (forall @t64 (or @t388 @t193))) % 0.37/0.75 (define @t443 () (=> @t442 @t441)) % 0.37/0.75 (define @t444 () (=> @t442 @t443)) % 0.37/0.75 (define @t445 () (forall @t9 (or @t386 @t402))) % 0.37/0.75 (define @t446 () (not @t445)) % 0.37/0.75 (define @t447 () (or @t446 @t412 @t3)) % 0.37/0.75 (define @t448 () (forall @t12 @t447)) % 0.37/0.75 (define @t449 () (=> @t448 @t444)) % 0.37/0.75 (define @t450 () (@var "BOUND_VARIABLE_8495" $$unsorted)) % 0.37/0.75 (define @t451 () (not (_ @t143 @t450))) % 0.37/0.75 (define @t452 () (not (forall @t9 @t435))) % 0.37/0.75 (define @t453 () (@list @t143 @t450)) % 0.37/0.75 (define @t454 () (forall @t453 (or @t452 @t451 (not (forall @t70 (or @t392 (= @t19 @t450))))))) % 0.37/0.75 (define @t455 () (=> @t454 @t449)) % 0.37/0.75 (define @t456 () (tptp.in @t4 tptp.emptyset)) % 0.37/0.75 (define @t457 () (forall @t9 (not @t456))) % 0.37/0.75 (define @t458 () (=> @t457 @t455)) % 0.37/0.75 (define @t459 () (=> @t457 @t458)) % 0.37/0.75 (define @t460 () (=> @t457 @t459)) % 0.37/0.75 (define @t461 () (@var "BOUND_VARIABLE_15534" $$unsorted)) % 0.37/0.75 (define @t462 () (lambda (@list @t461) false)) % 0.37/0.75 (define @t463 () (tptp.powerset tptp.emptyset)) % 0.37/0.75 (define @t464 () (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t463 @t462))))) % 0.37/0.75 (define @t465 () (=> @t464 @t460)) % 0.37/0.75 (define @t466 () (not @t439)) % 0.37/0.75 (define @t467 () (forall @t159 (or @t466 @t434))) % 0.37/0.75 (define @t468 () (=> @t467 @t465)) % 0.37/0.75 (define @t469 () (forall @t159 (or @t466 @t385))) % 0.37/0.75 (define @t470 () (=> @t469 @t468)) % 0.37/0.75 (define @t471 () (forall @t159 (or @t386 @t435 @t439))) % 0.37/0.75 (define @t472 () (=> @t471 @t470)) % 0.37/0.75 (define @t473 () (@var "BOUND_VARIABLE_8366" $$unsorted)) % 0.37/0.75 (define @t474 () (not (_ @t143 @t473))) % 0.37/0.75 (define @t475 () (_ @t143 (tptp.descr @t143))) % 0.37/0.75 (define @t476 () (@list @t143 @t473)) % 0.37/0.75 (define @t477 () (forall @t476 (or @t475 @t474 (not (forall @t70 (or @t392 (= @t19 @t473))))))) % 0.37/0.75 (define @t478 () (=> @t477 @t472)) % 0.37/0.75 (define @t479 () (@var "BOUND_VARIABLE_8286" $$unsorted)) % 0.37/0.75 (define @t480 () (tptp.in @t479 @t95)) % 0.37/0.75 (define @t481 () (not (tptp.in @t479 @t93))) % 0.37/0.75 (define @t482 () (tptp.in @t4 @t93)) % 0.37/0.75 (define @t483 () (tptp.in @t93 @t1)) % 0.37/0.75 (define @t484 () (not @t483)) % 0.37/0.75 (define @t485 () (or @t484 @t482 @t481 @t480)) % 0.37/0.75 (define @t486 () (@list @t93 @t479)) % 0.37/0.75 (define @t487 () (forall @t486 @t485)) % 0.37/0.75 (define @t488 () (not @t487)) % 0.37/0.75 (define @t489 () (tptp.in @t19 @t104)) % 0.37/0.75 (define @t490 () (tptp.in @t19 @t95)) % 0.37/0.75 (define @t491 () (forall @t70 (or (not @t490) (not @t489)))) % 0.37/0.75 (define @t492 () (not @t491)) % 0.37/0.75 (define @t493 () (tptp.in @t4 @t104)) % 0.37/0.75 (define @t494 () (not @t493)) % 0.37/0.75 (define @t495 () (tptp.in @t95 @t1)) % 0.37/0.75 (define @t496 () (not @t495)) % 0.37/0.75 (define @t497 () (not (forall @t112 (or @t496 @t494 @t492 @t488)))) % 0.37/0.75 (define @t498 () (@var "BOUND_VARIABLE_8315" $$unsorted)) % 0.37/0.75 (define @t499 () (not (tptp.in @t498 @t104))) % 0.37/0.75 (define @t500 () (forall @t9 (or @t494 @t385))) % 0.37/0.75 (define @t501 () (not @t500)) % 0.37/0.75 (define @t502 () (or @t501 @t499 @t497)) % 0.37/0.75 (define @t503 () (forall (@list @t104 @t498) @t502)) % 0.37/0.75 (define @t504 () (not @t503)) % 0.37/0.75 (define @t505 () (@var "BOUND_VARIABLE_8238" $$unsorted)) % 0.37/0.75 (define @t506 () (tptp.in @t505 @t104)) % 0.37/0.75 (define @t507 () (not (tptp.in @t505 @t95))) % 0.37/0.75 (define @t508 () (@var "BOUND_VARIABLE_8232" $$unsorted)) % 0.37/0.75 (define @t509 () (tptp.in @t508 @t95)) % 0.37/0.75 (define @t510 () (not (tptp.in @t508 @t104))) % 0.37/0.75 (define @t511 () (tptp.in @t104 @t1)) % 0.37/0.75 (define @t512 () (not @t511)) % 0.37/0.75 (define @t513 () (or @t512 @t496 @t510 @t509 @t507 @t506)) % 0.37/0.75 (define @t514 () (@list @t104 @t95 @t508 @t505)) % 0.37/0.75 (define @t515 () (forall @t514 @t513)) % 0.37/0.75 (define @t516 () (not @t515)) % 0.37/0.75 (define @t517 () (forall @t118 (or @t512 (= @t493 @t489)))) % 0.37/0.75 (define @t518 () (not @t517)) % 0.37/0.75 (define @t519 () (forall @t135 (or @t386 @t420 @t518 @t129))) % 0.37/0.75 (define @t520 () (not @t519)) % 0.37/0.75 (define @t521 () (@var "BOUND_VARIABLE_8181" $$unsorted)) % 0.37/0.75 (define @t522 () (tptp.in @t521 @t2)) % 0.37/0.75 (define @t523 () (not (tptp.in @t521 @t104))) % 0.37/0.75 (define @t524 () (or @t512 @t523 @t522)) % 0.37/0.75 (define @t525 () (@list @t104 @t521)) % 0.37/0.75 (define @t526 () (forall @t525 @t524)) % 0.37/0.75 (define @t527 () (not @t526)) % 0.37/0.75 (define @t528 () (or @t527 @t520 @t516 @t504)) % 0.37/0.75 (define @t529 () (forall @t64 (not (forall @t41 @t528)))) % 0.37/0.75 (define @t530 () (=> @t529 @t478)) % 0.37/0.75 (define @t531 () (forall @t9 (or @t403 @t386))) % 0.37/0.75 (define @t532 () (not @t531)) % 0.37/0.75 (define @t533 () (not (forall @t41 (or @t401 @t532)))) % 0.37/0.75 (define @t534 () (@var "BOUND_VARIABLE_8156" $$unsorted)) % 0.37/0.75 (define @t535 () (not (tptp.in @t534 @t2))) % 0.37/0.75 (define @t536 () (or @t535 @t533)) % 0.37/0.75 (define @t537 () (forall (@list @t2 @t534) @t536)) % 0.37/0.75 (define @t538 () (=> @t537 @t530)) % 0.37/0.75 (define @t539 () (_ @t67 @t19 @t4)) % 0.37/0.75 (define @t540 () (not (forall @t70 (or @t420 (not @t539))))) % 0.37/0.75 (define @t541 () (forall @t9 (= @t402 @t540))) % 0.37/0.75 (define @t542 () (not (forall @t41 (not @t541)))) % 0.37/0.75 (define @t543 () (@var "BOUND_VARIABLE_8046" $$unsorted)) % 0.37/0.75 (define @t544 () (= @t19 @t543)) % 0.37/0.75 (define @t545 () (_ @t67 @t4 @t19)) % 0.37/0.75 (define @t546 () (not (forall @t70 (or (not @t545) @t544)))) % 0.37/0.75 (define @t547 () (_ @t67 @t4 @t543)) % 0.37/0.75 (define @t548 () (@list @t543)) % 0.37/0.75 (define @t549 () (not (forall @t548 (or (not @t547) @t546)))) % 0.37/0.75 (define @t550 () (forall @t9 (or @t386 @t549))) % 0.37/0.75 (define @t551 () (forall @t81 (or (not @t550) @t542))) % 0.37/0.75 (define @t552 () (=> @t551 @t538)) % 0.37/0.75 (define @t553 () (@var "BOUND_VARIABLE_8027" $$unsorted)) % 0.37/0.75 (define @t554 () (tptp.in @t553 @t2)) % 0.37/0.75 (define @t555 () (not (tptp.in @t553 tptp.omega))) % 0.37/0.75 (define @t556 () (tptp.setadjoin @t4 @t4)) % 0.37/0.75 (define @t557 () (tptp.in @t556 @t2)) % 0.37/0.75 (define @t558 () (tptp.in @t4 tptp.omega)) % 0.37/0.75 (define @t559 () (not @t558)) % 0.37/0.75 (define @t560 () (forall @t9 (or @t559 @t386 @t557))) % 0.37/0.75 (define @t561 () (not @t560)) % 0.37/0.75 (define @t562 () (tptp.in tptp.emptyset @t2)) % 0.37/0.75 (define @t563 () (not @t562)) % 0.37/0.75 (define @t564 () (or @t563 @t561 @t555 @t554)) % 0.37/0.75 (define @t565 () (@list @t2 @t553)) % 0.37/0.75 (define @t566 () (forall @t565 @t564)) % 0.37/0.75 (define @t567 () (=> @t566 @t552)) % 0.37/0.75 (define @t568 () (tptp.in @t556 tptp.omega)) % 0.37/0.75 (define @t569 () (forall @t9 (or @t559 @t568))) % 0.37/0.75 (define @t570 () (=> @t569 @t567)) % 0.37/0.75 (define @t571 () (tptp.in tptp.emptyset tptp.omega)) % 0.37/0.75 (define @t572 () (=> @t50 @t570)) % 0.37/0.75 (define @t573 () (forall @t46 (= @t405 @t406))) % 0.37/0.75 (define @t574 () (=> @t573 @t572)) % 0.37/0.75 (define @t575 () (forall @t12 (= @t411 @t408))) % 0.37/0.75 (define @t576 () (=> @t575 @t574)) % 0.37/0.75 (define @t577 () (or @t129 @t416)) % 0.37/0.75 (define @t578 () (forall @t28 (= @t418 @t577))) % 0.37/0.75 (define @t579 () (=> @t578 @t576)) % 0.37/0.75 (define @t580 () (=> @t457 @t579)) % 0.37/0.75 (define @t581 () (forall @t9 (= @t385 @t402))) % 0.37/0.75 (define @t582 () (forall @t12 (or (not @t581) @t3))) % 0.37/0.75 (define @t583 () (=> @t582 @t580)) % 0.37/0.75 (define @t584 () (=> @t467 (=> true @t465))) % 0.37/0.75 (define @t585 () (=> @t469 @t584)) % 0.37/0.75 (define @t586 () (=> @t471 @t585)) % 0.37/0.75 (define @t587 () (=> @t477 @t586)) % 0.37/0.75 (define @t588 () (=> @t529 @t587)) % 0.37/0.75 (define @t589 () (=> @t537 @t588)) % 0.37/0.75 (define @t590 () (=> @t551 @t589)) % 0.37/0.75 (define @t591 () (=> @t566 @t590)) % 0.37/0.75 (define @t592 () (=> @t569 @t591)) % 0.37/0.75 (define @t593 () (=> @t50 @t592)) % 0.37/0.75 (define @t594 () (=> @t573 @t593)) % 0.37/0.75 (define @t595 () (=> @t575 @t594)) % 0.37/0.75 (define @t596 () (=> @t578 @t595)) % 0.37/0.75 (define @t597 () (=> @t457 @t596)) % 0.37/0.75 (define @t598 () (=> @t582 @t597)) % 0.37/0.75 (define @t599 () (=> tptp.upairsetIR @t372)) % 0.37/0.75 (define @t600 () (=> tptp.upairsetIL @t599)) % 0.37/0.75 (define @t601 () (not @t289)) % 0.37/0.75 (define @t602 () (or @t601 @t378 @t377)) % 0.37/0.75 (define @t603 () (or @t378 @t377)) % 0.37/0.75 (define @t604 () (=> tptp.upairsetE @t600)) % 0.37/0.75 (define @t605 () (not @t272)) % 0.37/0.75 (define @t606 () (or @t605 @t276)) % 0.37/0.75 (define @t607 () (=> tptp.singletonsswitch @t604)) % 0.37/0.75 (define @t608 () (not (= @t19 @t19))) % 0.37/0.75 (define @t609 () (or @t608 @t384)) % 0.37/0.75 (define @t610 () (or @t278 @t278 @t382)) % 0.37/0.75 (define @t611 () (or @t278 @t382)) % 0.37/0.75 (define @t612 () (forall @t9 @t611)) % 0.37/0.75 (define @t613 () (forall @t70 @t612)) % 0.37/0.75 (define @t614 () (forall (@list @t19 @t4) @t611)) % 0.37/0.75 (define @t615 () (or @t278 @t272)) % 0.37/0.75 (define @t616 () (=> tptp.eqinunit @t607)) % 0.37/0.75 (define @t617 () (or @t129 @t277)) % 0.37/0.75 (define @t618 () (=> tptp.notinsingleton @t616)) % 0.37/0.75 (define @t619 () (or @t605 @t129)) % 0.37/0.75 (define @t620 () (=> tptp.uniqinunit @t618)) % 0.37/0.75 (define @t621 () (not @t193)) % 0.37/0.75 (define @t622 () (not @t195)) % 0.37/0.75 (define @t623 () (_ @t364 @t2)) % 0.37/0.75 (define @t624 () (=> @t623 @t267)) % 0.37/0.75 (define @t625 () (forall @t64 @t624)) % 0.37/0.75 (define @t626 () (=> tptp.nonemptyImpWitness @t620)) % 0.37/0.75 (define @t627 () (or @t392 (= @t390 @t19))) % 0.37/0.75 (define @t628 () (forall @t70 @t627)) % 0.37/0.75 (define @t629 () (not @t628)) % 0.37/0.75 (define @t630 () (or @t395 @t393 @t629)) % 0.37/0.75 (define @t631 () (or @t393 @t629)) % 0.37/0.75 (define @t632 () (or @t631 @t395)) % 0.37/0.75 (define @t633 () (forall @t396 @t632)) % 0.37/0.75 (define @t634 () (@list @t390)) % 0.37/0.75 (define @t635 () (forall @t634 @t632)) % 0.37/0.75 (define @t636 () (forall @t634 @t631)) % 0.37/0.75 (define @t637 () (@list @t4)) % 0.37/0.75 (define @t638 () (or @t636 @t395)) % 0.37/0.75 (define @t639 () (forall @t70 (or @t392 @t129))) % 0.37/0.75 (define @t640 () (not @t639)) % 0.37/0.75 (define @t641 () (forall @t9 (or @t435 @t640))) % 0.37/0.75 (define @t642 () (not @t641)) % 0.37/0.75 (define @t643 () (not @t642)) % 0.37/0.75 (define @t644 () (= @t153 @t129)) % 0.37/0.75 (define @t645 () (not @t144)) % 0.37/0.75 (define @t646 () (or @t645 @t640)) % 0.37/0.75 (define @t647 () (not @t153)) % 0.37/0.75 (define @t648 () (or @t647 @t129)) % 0.37/0.75 (define @t649 () (_ @t145 @t19)) % 0.37/0.75 (define @t650 () (not @t649)) % 0.37/0.75 (define @t651 () (or @t650 @t129)) % 0.37/0.75 (define @t652 () (forall @t70 @t651)) % 0.37/0.75 (define @t653 () (not @t652)) % 0.37/0.75 (define @t654 () (_ @t145 @t4)) % 0.37/0.75 (define @t655 () (not @t654)) % 0.37/0.75 (define @t656 () (or @t655 @t653)) % 0.37/0.75 (define @t657 () (forall @t9 @t656)) % 0.37/0.75 (define @t658 () (not @t657)) % 0.37/0.75 (define @t659 () (lambda @t150 @t642)) % 0.37/0.75 (define @t660 () (_ @t659 @t145)) % 0.37/0.75 (define @t661 () (=> @t660 @t262)) % 0.37/0.75 (define @t662 () (forall @t150 @t661)) % 0.37/0.75 (define @t663 () (and @t144 @t639)) % 0.37/0.75 (define @t664 () (forall @t9 (not @t663))) % 0.37/0.75 (define @t665 () (not @t664)) % 0.37/0.75 (define @t666 () (=> tptp.exuE2 @t626)) % 0.37/0.75 (define @t667 () (or @t194 @t257)) % 0.37/0.75 (define @t668 () (=> tptp.subPowSU @t666)) % 0.37/0.75 (define @t669 () (not @t44)) % 0.37/0.75 (define @t670 () (or @t669 @t405)) % 0.37/0.75 (define @t671 () (not false)) % 0.37/0.75 (define @t672 () (and @t671 @t405)) % 0.37/0.75 (define @t673 () (or @t672 false)) % 0.37/0.75 (define @t674 () (not @t172)) % 0.37/0.75 (define @t675 () (and @t674 @t405)) % 0.37/0.75 (define @t676 () (not (= @t172 false))) % 0.37/0.75 (define @t677 () (or @t172 @t675 @t172)) % 0.37/0.75 (define @t678 () (or @t675 @t172)) % 0.37/0.75 (define @t679 () (or @t172 @t404)) % 0.37/0.75 (define @t680 () (not @t39)) % 0.37/0.75 (define @t681 () (not @t6)) % 0.37/0.75 (define @t682 () (or @t681 @t680)) % 0.37/0.75 (define @t683 () (forall @t41 @t682)) % 0.37/0.75 (define @t684 () (or @t172 @t683)) % 0.37/0.75 (define @t685 () (or @t172 @t682)) % 0.37/0.75 (define @t686 () (or @t681 @t680 @t172)) % 0.37/0.75 (define @t687 () (=> tptp.setunionE @t668)) % 0.37/0.75 (define @t688 () (or @t681 @t680 @t44)) % 0.37/0.75 (define @t689 () (=> tptp.setunionI @t687)) % 0.37/0.75 (define @t690 () (not @t35)) % 0.37/0.75 (define @t691 () (or @t690 @t681 @t7)) % 0.37/0.75 (define @t692 () (or @t681 @t7)) % 0.37/0.75 (define @t693 () (=> tptp.powersetE @t689)) % 0.37/0.75 (define @t694 () (=> tptp.emptyInPowerset @t693)) % 0.37/0.75 (define @t695 () (=> tptp.emptyinPowerset @t694)) % 0.37/0.75 (define @t696 () (or @t412 @t35)) % 0.37/0.75 (define @t697 () (=> tptp.powersetI @t695)) % 0.37/0.75 (define @t698 () (_ @t155 @t414)) % 0.37/0.75 (define @t699 () (= @t2 @t698)) % 0.37/0.75 (define @t700 () (=> tptp.setoftrueEq @t697)) % 0.37/0.75 (define @t701 () (not @t26)) % 0.37/0.75 (define @t702 () (or @t701 @t129 @t21)) % 0.37/0.75 (define @t703 () (or @t129 @t21)) % 0.37/0.75 (define @t704 () (=> tptp.setadjoinOr @t700)) % 0.37/0.75 (define @t705 () (or @t701 @t129 @t416)) % 0.37/0.75 (define @t706 () (and @t416 @t671)) % 0.37/0.75 (define @t707 () (and @t129 @t671)) % 0.37/0.75 (define @t708 () (or @t707 @t706)) % 0.37/0.75 (define @t709 () (or @t707 @t706 false)) % 0.37/0.75 (define @t710 () (and @t416 @t674)) % 0.37/0.75 (define @t711 () (and @t129 @t674)) % 0.37/0.75 (define @t712 () (or @t172 @t711 @t710 @t172)) % 0.37/0.75 (define @t713 () (or @t711 @t710 @t172)) % 0.37/0.75 (define @t714 () (and @t21 @t674)) % 0.37/0.75 (define @t715 () (or @t711 @t714 @t172)) % 0.37/0.75 (define @t716 () (=> @t129 @t172)) % 0.37/0.75 (define @t717 () (=> tptp.setadjoinE @t704)) % 0.37/0.75 (define @t718 () (not @t21)) % 0.37/0.75 (define @t719 () (or @t718 @t26)) % 0.37/0.75 (define @t720 () (=> tptp.setadjoinIR @t717)) % 0.37/0.75 (define @t721 () (=> tptp.emptyinunitempty @t720)) % 0.37/0.75 (define @t722 () (=> tptp.setadjoinIL @t721)) % 0.37/0.75 (define @t723 () (not (= tptp.emptyset tptp.emptyset))) % 0.37/0.75 (define @t724 () (or @t430 @t723)) % 0.37/0.75 (define @t725 () (not (tptp.in @t429 @t2))) % 0.37/0.75 (define @t726 () (or @t621 @t725 @t621)) % 0.37/0.75 (define @t727 () (or @t725 @t621)) % 0.37/0.75 (define @t728 () (forall @t64 @t727)) % 0.37/0.75 (define @t729 () (forall @t431 @t728)) % 0.37/0.75 (define @t730 () (forall (@list @t429 @t2) @t727)) % 0.37/0.75 (define @t731 () (forall (@list @t2 @t429) @t727)) % 0.37/0.75 (define @t732 () (forall @t431 @t727)) % 0.37/0.75 (define @t733 () (forall @t431 @t725)) % 0.37/0.75 (define @t734 () (or @t733 @t621)) % 0.37/0.75 (define @t735 () (not @t388)) % 0.37/0.75 (define @t736 () (=> @t89 @t623)) % 0.37/0.75 (define @t737 () (forall @t64 @t736)) % 0.37/0.75 (define @t738 () (=> tptp.nonemptyI1 @t722)) % 0.37/0.75 (define @t739 () (lambda @t70 @t391)) % 0.37/0.75 (define @t740 () (tptp.dsetconstr @t2 @t739)) % 0.37/0.75 (define @t741 () (= tptp.emptyset @t740)) % 0.37/0.75 (define @t742 () (not @t741)) % 0.37/0.75 (define @t743 () (or @t386 @t435 @t742)) % 0.37/0.75 (define @t744 () (= tptp.emptyset @t156)) % 0.37/0.75 (define @t745 () (not @t744)) % 0.37/0.75 (define @t746 () (or @t194 @t645 @t745)) % 0.37/0.75 (define @t747 () (=> @t144 @t745)) % 0.37/0.75 (define @t748 () (not (= @t156 tptp.emptyset))) % 0.37/0.75 (define @t749 () (_ @t364 @t156)) % 0.37/0.75 (define @t750 () (=> @t144 @t749)) % 0.37/0.75 (define @t751 () (=> @t7 @t750)) % 0.37/0.75 (define @t752 () (forall @t159 @t751)) % 0.37/0.75 (define @t753 () (=> tptp.nonemptyI @t738)) % 0.37/0.75 (define @t754 () (=> @t623 @t89)) % 0.37/0.75 (define @t755 () (forall @t64 @t754)) % 0.37/0.75 (define @t756 () (=> tptp.nonemptyE1 @t753)) % 0.37/0.75 (define @t757 () (tptp.in @t4 @t740)) % 0.37/0.75 (define @t758 () (= @t434 @t757)) % 0.37/0.75 (define @t759 () (or @t386 @t758)) % 0.37/0.75 (define @t760 () (= @t144 @t157)) % 0.37/0.75 (define @t761 () (or @t194 @t760)) % 0.37/0.75 (define @t762 () (=> tptp.setbeta @t756)) % 0.37/0.75 (define @t763 () (=> tptp.noeltsimpempty @t762)) % 0.37/0.75 (define @t764 () (=> tptp.emptyI @t763)) % 0.37/0.75 (define @t765 () (=> @t411 @t3)) % 0.37/0.75 (define @t766 () (or @t194 @t6)) % 0.37/0.75 (define @t767 () (=> tptp.setext @t764)) % 0.37/0.75 (define @t768 () (or @t392 (= @t450 @t19))) % 0.37/0.75 (define @t769 () (forall @t70 @t768)) % 0.37/0.75 (define @t770 () (not @t769)) % 0.37/0.75 (define @t771 () (or @t452 @t451 @t770)) % 0.37/0.75 (define @t772 () (or @t451 @t770)) % 0.37/0.75 (define @t773 () (or @t772 @t452)) % 0.37/0.75 (define @t774 () (forall @t453 @t773)) % 0.37/0.75 (define @t775 () (@list @t450)) % 0.37/0.75 (define @t776 () (forall @t775 @t773)) % 0.37/0.75 (define @t777 () (forall @t775 @t772)) % 0.37/0.75 (define @t778 () (or @t777 @t452)) % 0.37/0.75 (define @t779 () (forall @t9 @t645)) % 0.37/0.75 (define @t780 () (not @t779)) % 0.37/0.75 (define @t781 () (=> @t660 @t184)) % 0.37/0.75 (define @t782 () (forall @t150 @t781)) % 0.37/0.75 (define @t783 () (=> tptp.exuE3e @t767)) % 0.37/0.75 (define @t784 () (=> tptp.notinemptyset @t783)) % 0.37/0.75 (define @t785 () (=> tptp.emptysetimpfalse @t784)) % 0.37/0.75 (define @t786 () (or @t172 @t172)) % 0.37/0.75 (define @t787 () (=> tptp.emptysetE @t785)) % 0.37/0.75 (define @t788 () (@var "BOUND_VARIABLE_8440" $$unsorted)) % 0.37/0.75 (define @t789 () (@list @t788)) % 0.37/0.75 (define @t790 () (lambda @t789 false)) % 0.37/0.75 (define @t791 () (@list @t788)) % 0.37/0.75 (define @t792 () (tptp.dsetconstr @t463 @t790)) % 0.37/0.75 (define @t793 () (tptp.in @t4 @t792)) % 0.37/0.75 (define @t794 () (not @t793)) % 0.37/0.75 (define @t795 () (or @t794 false)) % 0.37/0.75 (define @t796 () (lambda @t789 @t172)) % 0.37/0.75 (define @t797 () (tptp.dsetconstr @t463 @t796)) % 0.37/0.75 (define @t798 () (tptp.in @t4 @t797)) % 0.37/0.75 (define @t799 () (not @t798)) % 0.37/0.75 (define @t800 () (or @t172 @t799 @t172)) % 0.37/0.75 (define @t801 () (or @t799 @t172)) % 0.37/0.75 (define @t802 () (forall @t177 @t801)) % 0.37/0.75 (define @t803 () (forall @t9 @t802)) % 0.37/0.75 (define @t804 () (forall (@list @t4 @t172) @t801)) % 0.37/0.75 (define @t805 () (_ @t361 @t796)) % 0.37/0.75 (define @t806 () (_ @t5 @t805)) % 0.37/0.75 (define @t807 () (not @t806)) % 0.37/0.75 (define @t808 () (or @t807 @t172)) % 0.37/0.75 (define @t809 () (=> (_ @t5 @t362) @t172)) % 0.37/0.75 (define @t810 () (_ @t363 @t172)) % 0.37/0.75 (define @t811 () (=> (_ @t5 @t810) @t172)) % 0.37/0.75 (define @t812 () (forall @t174 @t811)) % 0.37/0.75 (define @t813 () (=> tptp.prop2setE @t787)) % 0.37/0.75 (define @t814 () (=> @t660 @t168)) % 0.37/0.75 (define @t815 () (forall @t150 @t814)) % 0.37/0.75 (define @t816 () (=> tptp.exuE1 @t813)) % 0.37/0.75 (define @t817 () (not @t757)) % 0.37/0.75 (define @t818 () (or @t817 @t434)) % 0.37/0.75 (define @t819 () (not @t157)) % 0.37/0.75 (define @t820 () (or @t819 @t144)) % 0.37/0.75 (define @t821 () (=> tptp.dsetconstrER @t816)) % 0.37/0.75 (define @t822 () (or @t817 @t385)) % 0.37/0.75 (define @t823 () (or @t819 @t7)) % 0.37/0.75 (define @t824 () (=> tptp.dsetconstrEL @t821)) % 0.37/0.75 (define @t825 () (or @t386 @t435 @t757)) % 0.37/0.75 (define @t826 () (or @t194 @t645 @t157)) % 0.37/0.75 (define @t827 () (=> tptp.dsetconstrI @t824)) % 0.37/0.75 (define @t828 () (or @t392 (= @t473 @t19))) % 0.37/0.75 (define @t829 () (forall @t70 @t828)) % 0.37/0.75 (define @t830 () (not @t829)) % 0.37/0.75 (define @t831 () (or @t475 @t474 @t830)) % 0.37/0.75 (define @t832 () (or @t474 @t830)) % 0.37/0.75 (define @t833 () (or @t832 @t475)) % 0.37/0.75 (define @t834 () (forall @t476 @t833)) % 0.37/0.75 (define @t835 () (@list @t473)) % 0.37/0.75 (define @t836 () (forall @t835 @t833)) % 0.37/0.75 (define @t837 () (forall @t835 @t832)) % 0.37/0.75 (define @t838 () (or @t837 @t475)) % 0.37/0.75 (define @t839 () (lambda @t9 @t434)) % 0.37/0.75 (define @t840 () (tptp.descr @t839)) % 0.37/0.75 (define @t841 () (_ @t143 @t840)) % 0.37/0.75 (define @t842 () (or @t641 @t841)) % 0.37/0.75 (define @t843 () (or @t641 @t147)) % 0.37/0.75 (define @t844 () (=> @t660 @t147)) % 0.37/0.75 (define @t845 () (forall @t150 @t844)) % 0.37/0.75 (define @t846 () (=> tptp.descrp @t827)) % 0.37/0.75 (define @t847 () (and @t526 @t519 @t515 @t503)) % 0.37/0.75 (define @t848 () (forall @t41 (not @t847))) % 0.37/0.75 (define @t849 () (not @t848)) % 0.37/0.75 (define @t850 () (@list @t498)) % 0.37/0.75 (define @t851 () (forall @t850 @t502)) % 0.37/0.75 (define @t852 () (forall @t850 @t499)) % 0.37/0.75 (define @t853 () (or @t501 @t852 @t497)) % 0.37/0.75 (define @t854 () (forall @t9 @t494)) % 0.37/0.75 (define @t855 () (or @t501 @t854 @t497)) % 0.37/0.75 (define @t856 () (not @t854)) % 0.37/0.75 (define @t857 () (and @t500 @t856)) % 0.37/0.75 (define @t858 () (not @t109)) % 0.37/0.75 (define @t859 () (not @t110)) % 0.37/0.75 (define @t860 () (or @t859 @t858 @t492 @t488)) % 0.37/0.75 (define @t861 () (and @t110 @t109 @t491 @t487)) % 0.37/0.75 (define @t862 () (forall @t112 (not @t861))) % 0.37/0.75 (define @t863 () (not @t862)) % 0.37/0.75 (define @t864 () (or @t481 @t480)) % 0.37/0.75 (define @t865 () (or @t484 @t864 @t482)) % 0.37/0.75 (define @t866 () (forall @t486 @t865)) % 0.37/0.75 (define @t867 () (@list @t479)) % 0.37/0.75 (define @t868 () (forall @t867 @t865)) % 0.37/0.75 (define @t869 () (forall @t867 @t864)) % 0.37/0.75 (define @t870 () (or @t484 @t869 @t482)) % 0.37/0.75 (define @t871 () (tptp.in @t19 @t93)) % 0.37/0.75 (define @t872 () (forall @t70 (or (not @t871) @t490))) % 0.37/0.75 (define @t873 () (not @t100)) % 0.37/0.75 (define @t874 () (or @t873 @t872 @t94)) % 0.37/0.75 (define @t875 () (or @t872 @t94)) % 0.37/0.75 (define @t876 () (not @t97)) % 0.37/0.75 (define @t877 () (or @t876 @t96)) % 0.37/0.75 (define @t878 () (not @t105)) % 0.37/0.75 (define @t879 () (not @t96)) % 0.37/0.75 (define @t880 () (or @t879 @t878)) % 0.37/0.75 (define @t881 () (forall @t70 (not @t106))) % 0.37/0.75 (define @t882 () (not @t881)) % 0.37/0.75 (define @t883 () (forall @t9 @t858)) % 0.37/0.75 (define @t884 () (not @t883)) % 0.37/0.75 (define @t885 () (or @t858 @t7)) % 0.37/0.75 (define @t886 () (or @t507 @t506)) % 0.37/0.75 (define @t887 () (or @t510 @t509)) % 0.37/0.75 (define @t888 () (or @t512 @t496 @t887 @t886)) % 0.37/0.75 (define @t889 () (forall @t514 @t888)) % 0.37/0.75 (define @t890 () (forall (@list @t508 @t505) @t888)) % 0.37/0.75 (define @t891 () (forall (@list @t505) @t886)) % 0.37/0.75 (define @t892 () (forall (@list @t508) @t887)) % 0.37/0.75 (define @t893 () (or @t512 @t496 @t892 @t891)) % 0.37/0.75 (define @t894 () (tptp.in @t4 @t95)) % 0.37/0.75 (define @t895 () (forall @t9 (or (not @t894) @t493))) % 0.37/0.75 (define @t896 () (forall @t9 (or @t494 @t894))) % 0.37/0.75 (define @t897 () (not @t124)) % 0.37/0.75 (define @t898 () (or @t897 @t859 @t896 @t895)) % 0.37/0.75 (define @t899 () (or @t896 @t895)) % 0.37/0.75 (define @t900 () (not @t120)) % 0.37/0.75 (define @t901 () (or @t900 @t109)) % 0.37/0.75 (define @t902 () (or @t858 @t120)) % 0.37/0.75 (define @t903 () (or @t194 @t718 @t518 @t129)) % 0.37/0.75 (define @t904 () (=> @t517 @t129)) % 0.37/0.75 (define @t905 () (or @t897 @t130)) % 0.37/0.75 (define @t906 () (or @t523 @t522)) % 0.37/0.75 (define @t907 () (or @t512 @t906)) % 0.37/0.75 (define @t908 () (forall @t525 @t907)) % 0.37/0.75 (define @t909 () (@list @t521)) % 0.37/0.75 (define @t910 () (forall @t909 @t907)) % 0.37/0.75 (define @t911 () (forall @t909 @t906)) % 0.37/0.75 (define @t912 () (or @t512 @t911)) % 0.37/0.75 (define @t913 () (or @t897 @t500)) % 0.37/0.75 (define @t914 () (=> tptp.wellorderingAx @t846)) % 0.37/0.75 (define @t915 () (@list @t534)) % 0.37/0.75 (define @t916 () (forall @t915 @t536)) % 0.37/0.75 (define @t917 () (forall @t915 @t535)) % 0.37/0.75 (define @t918 () (or @t917 @t533)) % 0.37/0.75 (define @t919 () (or @t680 @t532)) % 0.37/0.75 (define @t920 () (and @t39 @t531)) % 0.37/0.75 (define @t921 () (forall @t41 (not @t920))) % 0.37/0.75 (define @t922 () (not @t921)) % 0.37/0.75 (define @t923 () (or @t681 @t194)) % 0.37/0.75 (define @t924 () (forall @t9 (not @t84))) % 0.37/0.75 (define @t925 () (not @t924)) % 0.37/0.75 (define @t926 () (=> tptp.foundationAx @t914)) % 0.37/0.75 (define @t927 () (= @t6 @t540)) % 0.37/0.75 (define @t928 () (not @t68)) % 0.37/0.75 (define @t929 () (or @t718 @t928)) % 0.37/0.75 (define @t930 () (forall @t70 (not @t69))) % 0.37/0.75 (define @t931 () (not @t930)) % 0.37/0.75 (define @t932 () (or @t194 @t549)) % 0.37/0.75 (define @t933 () (_ @t75 @t543)) % 0.37/0.75 (define @t934 () (not @t933)) % 0.37/0.75 (define @t935 () (or @t934 @t546)) % 0.37/0.75 (define @t936 () (not @t76)) % 0.37/0.75 (define @t937 () (or @t936 @t544)) % 0.37/0.75 (define @t938 () (_ @t77 @t19)) % 0.37/0.75 (define @t939 () (not @t938)) % 0.37/0.75 (define @t940 () (or @t939 @t544)) % 0.37/0.75 (define @t941 () (forall @t70 @t940)) % 0.37/0.75 (define @t942 () (not @t941)) % 0.37/0.75 (define @t943 () (_ @t77 @t543)) % 0.37/0.75 (define @t944 () (not @t943)) % 0.37/0.75 (define @t945 () (or @t944 @t942)) % 0.37/0.75 (define @t946 () (forall @t548 @t945)) % 0.37/0.75 (define @t947 () (not @t946)) % 0.37/0.75 (define @t948 () (not (_ @t143 @t543))) % 0.37/0.75 (define @t949 () (or @t392 (= @t543 @t19))) % 0.37/0.75 (define @t950 () (forall @t70 @t949)) % 0.37/0.75 (define @t951 () (not @t950)) % 0.37/0.75 (define @t952 () (or @t948 @t951)) % 0.37/0.75 (define @t953 () (forall @t548 @t952)) % 0.37/0.75 (define @t954 () (not @t953)) % 0.37/0.75 (define @t955 () (=> @t7 (_ @t659 @t77))) % 0.37/0.75 (define @t956 () (forall @t9 @t955)) % 0.37/0.75 (define @t957 () (=> @t956 @t74)) % 0.37/0.75 (define @t958 () (forall @t81 @t957)) % 0.37/0.75 (define @t959 () (=> tptp.replAx @t926)) % 0.37/0.75 (define @t960 () (or @t555 @t554)) % 0.37/0.75 (define @t961 () (or @t563 @t561 @t960)) % 0.37/0.75 (define @t962 () (forall @t565 @t961)) % 0.37/0.75 (define @t963 () (@list @t553)) % 0.37/0.75 (define @t964 () (forall @t963 @t961)) % 0.37/0.75 (define @t965 () (forall @t963 @t960)) % 0.37/0.75 (define @t966 () (or @t563 @t561 @t965)) % 0.37/0.75 (define @t967 () (forall @t9 (or @t559 @t385))) % 0.37/0.75 (define @t968 () (not @t61)) % 0.37/0.75 (define @t969 () (or @t968 @t561 @t967)) % 0.37/0.75 (define @t970 () (and @t61 @t560)) % 0.37/0.75 (define @t971 () (not @t54)) % 0.37/0.75 (define @t972 () (or @t971 @t7)) % 0.37/0.75 (define @t973 () (_ tptp.in @t556)) % 0.37/0.75 (define @t974 () (or @t971 @t194 @t58)) % 0.37/0.75 (define @t975 () (=> tptp.omegaIndAx @t959)) % 0.37/0.75 (define @t976 () (or @t971 @t53)) % 0.37/0.75 (define @t977 () (=> tptp.omegaSAx @t975)) % 0.37/0.75 (define @t978 () (=> tptp.omega0Ax @t977)) % 0.37/0.75 (define @t979 () (= @t44 @t405)) % 0.37/0.75 (define @t980 () (forall @t41 (not @t40))) % 0.37/0.75 (define @t981 () (not @t980)) % 0.37/0.75 (define @t982 () (=> tptp.setunionAx @t978)) % 0.37/0.75 (define @t983 () (= @t35 @t411)) % 0.37/0.75 (define @t984 () (=> tptp.powersetAx @t982)) % 0.37/0.75 (define @t985 () (= @t26 @t703)) % 0.37/0.75 (define @t986 () (=> tptp.setadjoinAx @t984)) % 0.37/0.75 (define @t987 () (=> tptp.emptysetAx @t986)) % 0.37/0.75 (define @t988 () (=> tptp.setextAx @t987)) % 0.37/0.75 (define @t989 () (or @t367 @t366)) % 0.37/0.75 (define @t990 () (or @t989 @t369)) % 0.37/0.75 (define @t991 () (forall @t371 @t990)) % 0.37/0.75 (define @t992 () (@list @t365)) % 0.37/0.75 (define @t993 () (forall @t992 @t990)) % 0.37/0.75 (define @t994 () (forall @t992 @t989)) % 0.37/0.75 (define @t995 () (or @t994 @t369)) % 0.37/0.75 (define @t996 () (forall @t9 (or @t386 @t435))) % 0.37/0.75 (define @t997 () (tptp.dsetconstr @t2 @t839)) % 0.37/0.75 (define @t998 () (= tptp.emptyset @t997)) % 0.37/0.75 (define @t999 () (not @t998)) % 0.37/0.75 (define @t1000 () (or @t996 @t999)) % 0.37/0.75 (define @t1001 () (= tptp.emptyset @t300)) % 0.37/0.75 (define @t1002 () (not @t1001)) % 0.37/0.75 (define @t1003 () (or @t996 @t1002)) % 0.37/0.75 (define @t1004 () (not @t996)) % 0.37/0.75 (define @t1005 () (or @t194 @t645)) % 0.37/0.75 (define @t1006 () (forall @t9 (not @t302))) % 0.37/0.75 (define @t1007 () (not @t1006)) % 0.37/0.75 (define @t1008 () (or @t367 @t366 @t369)) % 0.37/0.75 (define @t1009 () (forall @t371 @t1008)) % 0.37/0.75 (define @t1010 () (@var "BOUND_VARIABLE_10089" (-> $$unsorted Bool))) % 0.37/0.75 (define @t1011 () (@var "BOUND_VARIABLE_10087" $$unsorted)) % 0.37/0.75 (define @t1012 () (@var "BOUND_VARIABLE_10088" $$unsorted)) % 0.37/0.75 (define @t1013 () (@list @t1011 @t1012 @t1010)) % 0.37/0.75 (define @t1014 () (@list 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 @t299) % 0.37/0.75 (assume @p51 @t357) % 0.37/0.75 (assume @p52 true) % 0.37/0.75 (step @p53 (= tptp.exu @t358) :rule refl :args (@t358)) % 0.37/0.75 (step @p54 (= tptp.prop2set @t363) :rule refl :args (@t363)) % 0.37/0.75 (step @p55 (= tptp.nonempty @t364) :rule refl :args (@t364)) % 0.37/0.75 (step @p56 :rule refl :args (@t421)) % 0.37/0.75 (step @p57 :rule refl :args ((tptp.in tptp.emptyset @t217))) % 0.37/0.75 (step @p58 :rule refl :args (@t422)) % 0.37/0.75 (step @p59 :rule refl :args (tptp.emptyset)) % 0.37/0.75 (step @p60 :rule cong :premises (@p59 @p58) :args (@t423)) % 0.37/0.75 (step @p61 :rule trans :premises (@p60 @p57)) % 0.37/0.75 (step @p62 :rule refl :args (@t49)) % 0.37/0.75 (step @p63 :rule ho_cong :premises (@p62 @p58)) % 0.37/0.75 (step @p64 :rule cong :premises (@p63 @p61) :args ((= (_ @t49 @t422) @t423))) % 0.37/0.75 (step @p65 :rule symm :premises (@p64)) % 0.37/0.75 (step @p66 :rule refl :args (@t218)) % 0.37/0.75 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.37/0.75 (step @p68 :rule refl :args (@t217)) % 0.37/0.75 (step @p69 :rule cong :premises (@p68 @p58) :args ((= @t217 @t422))) % 0.37/0.75 (step @p70 :rule symm :premises (@p69)) % 0.37/0.75 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.37/0.75 (step @p72 :rule refl :args (@t49)) % 0.37/0.75 (step @p73 :rule ho_cong :premises (@p72 @p71)) % 0.37/0.75 (step @p74 :rule trans :premises (@p73 @p67)) % 0.37/0.75 (step @p75 :rule cong :premises (@p74 @p56) :args (@t424)) % 0.37/0.75 (step @p76 :rule refl :args (@t427)) % 0.37/0.75 (step @p77 :rule cong :premises (@p76 @p75) :args (@t428)) % 0.37/0.75 (step @p78 :rule refl :args (@t432)) % 0.37/0.75 (step @p79 :rule cong :premises (@p78 @p77) :args (@t433)) % 0.37/0.75 (step @p80 :rule refl :args (@t436)) % 0.37/0.75 (step @p81 :rule cong :premises (@p80 @p79) :args (@t437)) % 0.37/0.75 (step @p82 :rule refl :args (@t389)) % 0.37/0.75 (step @p83 :rule cong :premises (@p82 @p81) :args (@t438)) % 0.37/0.75 (step @p84 :rule refl :args (@t440)) % 0.37/0.75 (step @p85 :rule cong :premises (@p84 @p83) :args (@t441)) % 0.37/0.75 (step @p86 :rule refl :args (@t442)) % 0.37/0.75 (step @p87 :rule cong :premises (@p86 @p85) :args (@t443)) % 0.37/0.75 (step @p88 :rule cong :premises (@p86 @p87) :args (@t444)) % 0.37/0.75 (step @p89 :rule refl :args (@t448)) % 0.37/0.75 (step @p90 :rule cong :premises (@p89 @p88) :args (@t449)) % 0.37/0.75 (step @p91 :rule refl :args (@t454)) % 0.37/0.75 (step @p92 :rule cong :premises (@p91 @p90) :args (@t455)) % 0.37/0.75 (step @p93 :rule refl :args (@t457)) % 0.37/0.75 (step @p94 :rule cong :premises (@p93 @p92) :args (@t458)) % 0.37/0.75 (step @p95 :rule cong :premises (@p93 @p94) :args (@t459)) % 0.37/0.75 (step @p96 :rule cong :premises (@p93 @p95) :args (@t460)) % 0.37/0.75 (step @p97 :rule refl :args (@t464)) % 0.37/0.75 (step @p98 :rule cong :premises (@p97 @p96) :args (@t465)) % 0.37/0.75 (step @p99 :rule refl :args (@t467)) % 0.37/0.75 (step @p100 :rule cong :premises (@p99 @p98) :args (@t468)) % 0.37/0.75 (step @p101 :rule refl :args (@t469)) % 0.37/0.75 (step @p102 :rule cong :premises (@p101 @p100) :args (@t470)) % 0.37/0.75 (step @p103 :rule refl :args (@t471)) % 0.37/0.75 (step @p104 :rule cong :premises (@p103 @p102) :args (@t472)) % 0.37/0.75 (step @p105 :rule refl :args (@t477)) % 0.37/0.75 (step @p106 :rule cong :premises (@p105 @p104) :args (@t478)) % 0.37/0.75 (step @p107 :rule refl :args (@t529)) % 0.37/0.75 (step @p108 :rule cong :premises (@p107 @p106) :args (@t530)) % 0.37/0.75 (step @p109 :rule refl :args (@t537)) % 0.37/0.75 (step @p110 :rule cong :premises (@p109 @p108) :args (@t538)) % 0.37/0.75 (step @p111 :rule refl :args (@t551)) % 0.37/0.75 (step @p112 :rule cong :premises (@p111 @p110) :args (@t552)) % 0.37/0.75 (step @p113 :rule refl :args (@t566)) % 0.37/0.75 (step @p114 :rule cong :premises (@p113 @p112) :args (@t567)) % 0.37/0.75 (step @p115 :rule refl :args (@t569)) % 0.37/0.75 (step @p116 :rule cong :premises (@p115 @p114) :args (@t570)) % 0.37/0.75 (step @p117 :rule refl :args (@t571)) % 0.37/0.75 (step @p118 :rule refl :args (@t50)) % 0.37/0.75 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t50 @t571))) % 0.37/0.75 (step @p120 :rule symm :premises (@p119)) % 0.37/0.75 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 0.37/0.75 (step @p122 :rule cong :premises (@p121 @p116) :args (@t572)) % 0.37/0.75 (step @p123 :rule refl :args (@t573)) % 0.37/0.75 (step @p124 :rule cong :premises (@p123 @p122) :args (@t574)) % 0.37/0.75 (step @p125 :rule refl :args (@t575)) % 0.37/0.75 (step @p126 :rule cong :premises (@p125 @p124) :args (@t576)) % 0.37/0.75 (step @p127 :rule refl :args (@t578)) % 0.37/0.75 (step @p128 :rule cong :premises (@p127 @p126) :args (@t579)) % 0.37/0.75 (step @p129 :rule cong :premises (@p93 @p128) :args (@t580)) % 0.37/0.75 (step @p130 :rule refl :args (@t582)) % 0.37/0.75 (step @p131 :rule cong :premises (@p130 @p129) :args (@t583)) % 0.37/0.75 (step @p132 :rule cong :premises (@p131) :args ((not @t583))) % 0.37/0.75 (step @p133 :rule bool-impl-true2 :args (@t465)) % 0.37/0.75 (step @p134 :rule cong :premises (@p99 @p133) :args (@t584)) % 0.37/0.75 (step @p135 :rule cong :premises (@p101 @p134) :args (@t585)) % 0.37/0.75 (step @p136 :rule cong :premises (@p103 @p135) :args (@t586)) % 0.37/0.75 (step @p137 :rule cong :premises (@p105 @p136) :args (@t587)) % 0.37/0.75 (step @p138 :rule cong :premises (@p107 @p137) :args (@t588)) % 0.37/0.75 (step @p139 :rule cong :premises (@p109 @p138) :args (@t589)) % 0.37/0.75 (step @p140 :rule cong :premises (@p111 @p139) :args (@t590)) % 0.37/0.75 (step @p141 :rule cong :premises (@p113 @p140) :args (@t591)) % 0.37/0.75 (step @p142 :rule cong :premises (@p115 @p141) :args (@t592)) % 0.37/0.75 (step @p143 :rule refl :args (@t50)) % 0.37/0.75 (step @p144 :rule cong :premises (@p143 @p142) :args (@t593)) % 0.37/0.75 (step @p145 :rule cong :premises (@p123 @p144) :args (@t594)) % 0.37/0.75 (step @p146 :rule cong :premises (@p125 @p145) :args (@t595)) % 0.37/0.75 (step @p147 :rule cong :premises (@p127 @p146) :args (@t596)) % 0.37/0.75 (step @p148 :rule cong :premises (@p93 @p147) :args (@t597)) % 0.37/0.75 (step @p149 :rule cong :premises (@p130 @p148) :args (@t598)) % 0.37/0.75 (step @p150 :rule cong :premises (@p149) :args ((not @t598))) % 0.37/0.75 (step @p151 :rule refl :args (@t372)) % 0.37/0.75 (step @p152 :rule refl :args ((tptp.in @t19 @t287))) % 0.37/0.75 (step @p153 :rule refl :args ((tptp.setadjoin @t4 @t271))) % 0.37/0.75 (step @p154 :rule refl :args (@t373)) % 0.37/0.75 (step @p155 :rule refl :args (@t4)) % 0.37/0.75 (step @p156 :rule cong :premises (@p155 @p154) :args (@t374)) % 0.37/0.75 (step @p157 :rule trans :premises (@p156 @p153)) % 0.37/0.75 (step @p158 :rule refl :args (@t19)) % 0.37/0.75 (step @p159 :rule cong :premises (@p158 @p157) :args (@t375)) % 0.37/0.75 (step @p160 :rule trans :premises (@p159 @p152)) % 0.37/0.75 (step @p161 :rule refl :args (@t20)) % 0.37/0.75 (step @p162 :rule ho_cong :premises (@p161 @p157)) % 0.37/0.75 (step @p163 :rule cong :premises (@p162 @p160) :args ((= (_ @t20 @t374) @t375))) % 0.37/0.75 (step @p164 :rule symm :premises (@p163)) % 0.37/0.75 (step @p165 :rule refl :args (@t297)) % 0.37/0.75 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.37/0.75 (step @p167 :rule refl :args (@t24)) % 0.37/0.75 (step @p168 :rule ho_cong :premises (@p167 @p154)) % 0.37/0.75 (step @p169 :rule cong :premises (@p168 @p157) :args ((= (_ @t24 @t373) @t374))) % 0.37/0.75 (step @p170 :rule symm :premises (@p169)) % 0.37/0.75 (step @p171 :rule refl :args (@t287)) % 0.37/0.75 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 0.37/0.75 (step @p173 :rule refl :args (@t271)) % 0.37/0.75 (step @p174 :rule cong :premises (@p173 @p154) :args ((= @t271 @t373))) % 0.37/0.75 (step @p175 :rule symm :premises (@p174)) % 0.37/0.75 (step @p176 :rule eq_resolve :premises (@p173 @p175)) % 0.37/0.75 (step @p177 :rule ho_cong :premises (@p167 @p176)) % 0.37/0.75 (step @p178 :rule trans :premises (@p177 @p172)) % 0.37/0.75 (step @p179 :rule ho_cong :premises (@p161 @p178)) % 0.37/0.75 (step @p180 :rule trans :premises (@p179 @p166)) % 0.37/0.75 (step @p181 :rule cong :premises (@p180) :args (@t298)) % 0.37/0.75 (step @p182 :rule refl :args (tptp.upairsetIR)) % 0.37/0.75 (step @p183 :rule cong :premises (@p182 @p181) :args (@t299)) % 0.37/0.75 (step @p184 :rule eq_resolve :premises (@p50 @p183)) % 0.37/0.75 (step @p185 :rule cong :premises (@p184 @p151) :args (@t599)) % 0.37/0.75 (step @p186 :rule refl :args ((tptp.in @t4 @t287))) % 0.37/0.75 (step @p187 :rule cong :premises (@p155 @p157) :args (@t376)) % 0.37/0.75 (step @p188 :rule trans :premises (@p187 @p186)) % 0.37/0.75 (step @p189 :rule refl :args (@t5)) % 0.37/0.75 (step @p190 :rule ho_cong :premises (@p189 @p157)) % 0.37/0.75 (step @p191 :rule cong :premises (@p190 @p188) :args ((= (_ @t5 @t374) @t376))) % 0.37/0.75 (step @p192 :rule symm :premises (@p191)) % 0.37/0.75 (step @p193 :rule refl :args (@t294)) % 0.37/0.75 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.37/0.75 (step @p195 :rule ho_cong :premises (@p189 @p178)) % 0.37/0.75 (step @p196 :rule trans :premises (@p195 @p194)) % 0.37/0.75 (step @p197 :rule cong :premises (@p196) :args (@t295)) % 0.37/0.75 (step @p198 :rule refl :args (tptp.upairsetIL)) % 0.37/0.75 (step @p199 :rule cong :premises (@p198 @p197) :args (@t296)) % 0.37/0.75 (step @p200 :rule eq_resolve :premises (@p49 @p199)) % 0.37/0.75 (step @p201 :rule cong :premises (@p200 @p185) :args (@t600)) % 0.37/0.75 (step @p202 :rule refl :args (@t377)) % 0.37/0.75 (step @p203 :rule refl :args (@t378)) % 0.37/0.75 (step @p204 :rule refl :args ((tptp.in @t285 @t287))) % 0.37/0.75 (step @p205 :rule refl :args (@t285)) % 0.37/0.75 (step @p206 :rule cong :premises (@p205 @p157) :args (@t379)) % 0.37/0.75 (step @p207 :rule trans :premises (@p206 @p204)) % 0.37/0.75 (step @p208 :rule refl :args (@t288)) % 0.37/0.75 (step @p209 :rule ho_cong :premises (@p208 @p157)) % 0.37/0.75 (step @p210 :rule cong :premises (@p209 @p207) :args ((= (_ @t288 @t374) @t379))) % 0.37/0.75 (step @p211 :rule symm :premises (@p210)) % 0.37/0.75 (step @p212 :rule refl :args (@t289)) % 0.37/0.75 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 0.37/0.75 (step @p214 :rule ho_cong :premises (@p208 @p178)) % 0.37/0.75 (step @p215 :rule trans :premises (@p214 @p213)) % 0.37/0.75 (step @p216 :rule cong :premises (@p215) :args (@t601)) % 0.37/0.75 (step @p217 :rule nary_cong :premises (@p216 @p203 @p202) :args (@t602)) % 0.37/0.75 (step @p218 :rule cong :premises (@p217) :args ((forall @t291 @t602))) % 0.37/0.75 (step @p219 :rule aci_norm :args ((= (or @t601 @t603) @t602))) % 0.37/0.75 (step @p220 :rule bool-impl-elim :args (@t289 @t603)) % 0.37/0.75 (step @p221 :rule trans :premises (@p220 @p219)) % 0.37/0.75 (step @p222 :rule cong :premises (@p221) :args ((forall @t291 (=> @t289 @t603)))) % 0.37/0.75 (step @p223 :rule trans :premises (@p222 @p218)) % 0.37/0.75 (step @p224 :rule eq-symm :args (@t285 @t19)) % 0.37/0.75 (step @p225 :rule eq-symm :args (@t285 @t4)) % 0.37/0.75 (step @p226 :rule nary_cong :premises (@p225 @p224) :args (@t286)) % 0.37/0.75 (step @p227 :rule refl :args (@t289)) % 0.37/0.75 (step @p228 :rule cong :premises (@p227 @p226) :args (@t290)) % 0.37/0.75 (step @p229 :rule cong :premises (@p228) :args (@t292)) % 0.37/0.75 (step @p230 :rule trans :premises (@p229 @p223)) % 0.37/0.75 (step @p231 :rule refl :args (tptp.upairsetE)) % 0.37/0.75 (step @p232 :rule cong :premises (@p231 @p230) :args (@t293)) % 0.37/0.75 (step @p233 :rule eq_resolve :premises (@p48 @p232)) % 0.37/0.75 (step @p234 :rule cong :premises (@p233 @p201) :args (@t604)) % 0.37/0.75 (step @p235 :rule refl :args ((tptp.in @t19 @t275))) % 0.37/0.75 (step @p236 :rule refl :args (@t380)) % 0.37/0.75 (step @p237 :rule cong :premises (@p158 @p236) :args (@t381)) % 0.37/0.75 (step @p238 :rule trans :premises (@p237 @p235)) % 0.37/0.75 (step @p239 :rule ho_cong :premises (@p161 @p236)) % 0.37/0.75 (step @p240 :rule cong :premises (@p239 @p238) :args ((= (_ @t20 @t380) @t381))) % 0.37/0.75 (step @p241 :rule symm :premises (@p240)) % 0.37/0.75 (step @p242 :rule refl :args (@t276)) % 0.37/0.75 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 0.37/0.75 (step @p244 :rule refl :args (@t275)) % 0.37/0.75 (step @p245 :rule cong :premises (@p244 @p236) :args ((= @t275 @t380))) % 0.37/0.75 (step @p246 :rule symm :premises (@p245)) % 0.37/0.75 (step @p247 :rule eq_resolve :premises (@p244 @p246)) % 0.37/0.75 (step @p248 :rule ho_cong :premises (@p161 @p247)) % 0.37/0.75 (step @p249 :rule trans :premises (@p248 @p243)) % 0.37/0.75 (step @p250 :rule refl :args ((tptp.in @t4 @t271))) % 0.37/0.75 (step @p251 :rule cong :premises (@p155 @p154) :args (@t382)) % 0.37/0.75 (step @p252 :rule trans :premises (@p251 @p250)) % 0.37/0.75 (step @p253 :rule ho_cong :premises (@p189 @p154)) % 0.37/0.75 (step @p254 :rule cong :premises (@p253 @p252) :args ((= (_ @t5 @t373) 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not_implies_elim2 :premises (@p2037)) % 0.37/0.76 (step @p2039 :rule not_implies_elim2 :premises (@p2038)) % 0.37/0.76 (step @p2040 :rule not_implies_elim2 :premises (@p2039)) % 0.37/0.76 (step @p2041 :rule not_implies_elim2 :premises (@p2040)) % 0.37/0.76 (step @p2042 :rule not_implies_elim2 :premises (@p2041)) % 0.37/0.76 (step @p2043 :rule not_implies_elim2 :premises (@p2042)) % 0.37/0.76 (step @p2044 :rule not_implies_elim2 :premises (@p2043)) % 0.37/0.76 (step @p2045 :rule not_implies_elim2 :premises (@p2044)) % 0.37/0.76 (step @p2046 :rule not_implies_elim2 :premises (@p2045)) % 0.37/0.76 (step @p2047 :rule not_implies_elim2 :premises (@p2046)) % 0.37/0.76 (step @p2048 :rule not_implies_elim2 :premises (@p2047)) % 0.37/0.76 (step @p2049 :rule not_implies_elim2 :premises (@p2048)) % 0.37/0.76 (step @p2050 :rule not_implies_elim2 :premises (@p2049)) % 0.37/0.76 (step @p2051 :rule not_implies_elim2 :premises (@p2050)) % 0.37/0.76 (step @p2052 :rule not_implies_elim2 :premises (@p2051)) % 0.37/0.76 (step @p2053 false :rule chain_m_resolution :premises (@p2052 @p2028) :args (false @t1014 (@list @t372))) % 0.37/0.76 ) % 0.37/0.76 % SZS output end Proof % 0.37/0.76 % cvc5 exiting %------------------------------------------------------------------------------