%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU540^1 : 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 : n017.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 08:52:07 AM UTC 2026 % Result : Theorem 0.52s 0.77s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU540^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n017.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 17:40:01 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.52 %----Proving TH0 % 0.52/0.77 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.77 % SZS status Theorem % 0.52/0.77 % SZS output start Proof % 0.52/0.77 ( % 0.52/0.77 (declare-sort $$unsorted 0) % 0.52/0.77 (declare-const tptp.emptyset $$unsorted) % 0.52/0.77 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.52/0.77 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.52/0.77 (declare-const tptp.quantDeMorgan3 Bool) % 0.52/0.77 (declare-const tptp.quantDeMorgan2 Bool) % 0.52/0.77 (declare-const tptp.quantDeMorgan1 Bool) % 0.52/0.77 (declare-const tptp.vacuousDall Bool) % 0.52/0.77 (declare-const tptp.setunionAx Bool) % 0.52/0.77 (declare-const tptp.prop2setE Bool) % 0.52/0.77 (declare-const tptp.exuE3e Bool) % 0.52/0.77 (declare-const tptp.omega $$unsorted) % 0.52/0.77 (declare-const tptp.dsetconstrI Bool) % 0.52/0.77 (declare-const tptp.exuE1 Bool) % 0.52/0.77 (declare-const tptp.emptyinPowerset Bool) % 0.52/0.77 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.52/0.77 (declare-const tptp.emptysetimpfalse Bool) % 0.52/0.77 (declare-const tptp.replAx Bool) % 0.52/0.77 (declare-const tptp.eqinunit Bool) % 0.52/0.77 (declare-const tptp.dsetconstrEL Bool) % 0.52/0.77 (declare-const tptp.emptysetAx Bool) % 0.52/0.77 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.52/0.77 (declare-const tptp.emptyE1 Bool) % 0.52/0.77 (declare-const tptp.foundationAx Bool) % 0.52/0.77 (declare-const tptp.notinemptyset Bool) % 0.52/0.77 (declare-const tptp.setadjoinIR Bool) % 0.52/0.77 (declare-const tptp.emptysetE Bool) % 0.52/0.77 (declare-const tptp.exuE2 Bool) % 0.52/0.77 (declare-const tptp.dsetconstrER Bool) % 0.52/0.77 (declare-const tptp.singletonsswitch Bool) % 0.52/0.77 (declare-const tptp.setextAx Bool) % 0.52/0.77 (declare-const tptp.setbeta Bool) % 0.52/0.77 (declare-const tptp.quantDeMorgan4 Bool) % 0.52/0.77 (declare-const tptp.powersetI Bool) % 0.52/0.77 (declare-const tptp.setadjoinAx Bool) % 0.52/0.77 (declare-const tptp.wellorderingAx Bool) % 0.52/0.77 (declare-const tptp.setext Bool) % 0.52/0.77 (declare-const tptp.omegaSAx Bool) % 0.52/0.77 (declare-const tptp.nonemptyImpWitness Bool) % 0.52/0.77 (declare-const tptp.powersetAx Bool) % 0.52/0.77 (declare-const tptp.descrp Bool) % 0.52/0.77 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.52/0.77 (declare-const tptp.setadjoinIL Bool) % 0.52/0.77 (declare-const tptp.omega0Ax Bool) % 0.52/0.77 (declare-const tptp.emptyI Bool) % 0.52/0.77 (declare-const tptp.noeltsimpempty Bool) % 0.52/0.77 (declare-const tptp.nonemptyE1 Bool) % 0.52/0.77 (declare-const tptp.nonemptyI1 Bool) % 0.52/0.77 (declare-const tptp.emptyinunitempty Bool) % 0.52/0.77 (declare-const tptp.setadjoinE Bool) % 0.52/0.77 (declare-const tptp.setadjoinOr Bool) % 0.52/0.77 (declare-const tptp.uniqinunit Bool) % 0.52/0.77 (declare-const tptp.setoftrueEq Bool) % 0.52/0.77 (declare-const tptp.emptyInPowerset Bool) % 0.52/0.77 (declare-const tptp.omegaIndAx Bool) % 0.52/0.77 (declare-const tptp.powersetE Bool) % 0.52/0.77 (declare-const tptp.setunionI Bool) % 0.52/0.77 (declare-const tptp.setunionE Bool) % 0.52/0.77 (declare-const tptp.subPowSU Bool) % 0.52/0.77 (declare-const tptp.notinsingleton Bool) % 0.52/0.77 (declare-const tptp.upairsetE Bool) % 0.52/0.77 (declare-const tptp.nonemptyI Bool) % 0.52/0.77 (declare-const tptp.upairsetIL Bool) % 0.52/0.77 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.77 (declare-const tptp.upairsetIR Bool) % 0.52/0.77 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.52/0.77 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.52/0.77 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.52/0.77 (define @t1 () (@var "B" $$unsorted)) % 0.52/0.77 (define @t2 () (@var "A" $$unsorted)) % 0.52/0.77 (define @t3 () (= @t2 @t1)) % 0.52/0.77 (define @t4 () (@var "Xx" $$unsorted)) % 0.52/0.77 (define @t5 () (_ tptp.in @t4)) % 0.52/0.77 (define @t6 () (_ @t5 @t1)) % 0.52/0.77 (define @t7 () (_ @t5 @t2)) % 0.52/0.77 (define @t8 () (= @t7 @t6)) % 0.52/0.77 (define @t9 () (@list @t4)) % 0.52/0.77 (define @t10 () (forall @t9 @t8)) % 0.52/0.77 (define @t11 () (=> @t10 @t3)) % 0.52/0.77 (define @t12 () (@list @t2 @t1)) % 0.52/0.77 (define @t13 () (forall @t12 @t11)) % 0.52/0.77 (define @t14 () (= tptp.setextAx @t13)) % 0.52/0.77 (define @t15 () (_ @t5 tptp.emptyset)) % 0.52/0.77 (define @t16 () (not @t15)) % 0.52/0.77 (define @t17 () (forall @t9 @t16)) % 0.52/0.77 (define @t18 () (= tptp.emptysetAx @t17)) % 0.52/0.77 (define @t19 () (@var "Xy" $$unsorted)) % 0.52/0.77 (define @t20 () (_ tptp.in @t19)) % 0.52/0.77 (define @t21 () (_ @t20 @t2)) % 0.52/0.77 (define @t22 () (= @t19 @t4)) % 0.52/0.77 (define @t23 () (or @t22 @t21)) % 0.52/0.77 (define @t24 () (_ tptp.setadjoin @t4)) % 0.52/0.77 (define @t25 () (_ @t24 @t2)) % 0.52/0.77 (define @t26 () (_ @t20 @t25)) % 0.52/0.77 (define @t27 () (= @t26 @t23)) % 0.52/0.77 (define @t28 () (@list @t4 @t2 @t19)) % 0.52/0.77 (define @t29 () (forall @t28 @t27)) % 0.52/0.77 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.52/0.77 (define @t31 () (=> @t6 @t7)) % 0.52/0.77 (define @t32 () (forall @t9 @t31)) % 0.52/0.77 (define @t33 () (_ tptp.powerset @t2)) % 0.52/0.77 (define @t34 () (_ tptp.in @t1)) % 0.52/0.77 (define @t35 () (_ @t34 @t33)) % 0.52/0.77 (define @t36 () (= @t35 @t32)) % 0.52/0.77 (define @t37 () (forall @t12 @t36)) % 0.52/0.77 (define @t38 () (= tptp.powersetAx @t37)) % 0.52/0.77 (define @t39 () (_ @t34 @t2)) % 0.52/0.77 (define @t40 () (and @t6 @t39)) % 0.52/0.77 (define @t41 () (@list @t1)) % 0.52/0.77 (define @t42 () (exists @t41 @t40)) % 0.52/0.77 (define @t43 () (_ tptp.setunion @t2)) % 0.52/0.77 (define @t44 () (_ @t5 @t43)) % 0.52/0.77 (define @t45 () (= @t44 @t42)) % 0.52/0.77 (define @t46 () (@list @t2 @t4)) % 0.52/0.77 (define @t47 () (forall @t46 @t45)) % 0.52/0.77 (define @t48 () (= tptp.setunionAx @t47)) % 0.52/0.77 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.52/0.77 (define @t50 () (_ @t49 tptp.omega)) % 0.52/0.77 (define @t51 () (_ @t24 @t4)) % 0.52/0.77 (define @t52 () (_ tptp.in @t51)) % 0.52/0.77 (define @t53 () (_ @t52 tptp.omega)) % 0.52/0.77 (define @t54 () (_ @t5 tptp.omega)) % 0.52/0.77 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.52/0.77 (define @t56 () (= tptp.omegaSAx @t55)) % 0.52/0.77 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.52/0.77 (define @t58 () (_ @t52 @t2)) % 0.52/0.77 (define @t59 () (and @t54 @t7)) % 0.52/0.77 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.52/0.77 (define @t61 () (_ @t49 @t2)) % 0.52/0.77 (define @t62 () (and @t61 @t60)) % 0.52/0.77 (define @t63 () (=> @t62 @t57)) % 0.52/0.77 (define @t64 () (@list @t2)) % 0.52/0.77 (define @t65 () (forall @t64 @t63)) % 0.52/0.77 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.52/0.77 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.52/0.77 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.52/0.77 (define @t69 () (and @t21 @t68)) % 0.52/0.77 (define @t70 () (@list @t19)) % 0.52/0.77 (define @t71 () (exists @t70 @t69)) % 0.52/0.77 (define @t72 () (= @t6 @t71)) % 0.52/0.77 (define @t73 () (forall @t9 @t72)) % 0.52/0.77 (define @t74 () (exists @t41 @t73)) % 0.52/0.77 (define @t75 () (_ @t67 @t4)) % 0.52/0.77 (define @t76 () (_ @t75 @t19)) % 0.52/0.77 (define @t77 () (lambda @t70 @t76)) % 0.52/0.77 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.52/0.77 (define @t79 () (forall @t9 @t78)) % 0.52/0.77 (define @t80 () (=> @t79 @t74)) % 0.52/0.77 (define @t81 () (@list @t67 @t2)) % 0.52/0.77 (define @t82 () (forall @t81 @t80)) % 0.52/0.77 (define @t83 () (= tptp.replAx @t82)) % 0.52/0.77 (define @t84 () (and @t6 @t7)) % 0.52/0.77 (define @t85 () (exists @t9 @t84)) % 0.52/0.77 (define @t86 () (not @t85)) % 0.52/0.77 (define @t87 () (and @t39 @t86)) % 0.52/0.77 (define @t88 () (exists @t41 @t87)) % 0.52/0.77 (define @t89 () (exists @t9 @t7)) % 0.52/0.77 (define @t90 () (=> @t89 @t88)) % 0.52/0.77 (define @t91 () (forall @t64 @t90)) % 0.52/0.77 (define @t92 () (= tptp.foundationAx @t91)) % 0.52/0.77 (define @t93 () (@var "E" $$unsorted)) % 0.52/0.77 (define @t94 () (_ @t5 @t93)) % 0.52/0.77 (define @t95 () (@var "D" $$unsorted)) % 0.52/0.77 (define @t96 () (_ @t20 @t95)) % 0.52/0.77 (define @t97 () (_ @t20 @t93)) % 0.52/0.77 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.52/0.77 (define @t99 () (or @t98 @t94)) % 0.52/0.77 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.52/0.77 (define @t101 () (=> @t100 @t99)) % 0.52/0.77 (define @t102 () (@list @t93)) % 0.52/0.77 (define @t103 () (forall @t102 @t101)) % 0.52/0.77 (define @t104 () (@var "C" $$unsorted)) % 0.52/0.77 (define @t105 () (_ @t20 @t104)) % 0.52/0.77 (define @t106 () (and @t96 @t105)) % 0.52/0.77 (define @t107 () (exists @t70 @t106)) % 0.52/0.77 (define @t108 () (not @t107)) % 0.52/0.77 (define @t109 () (_ @t5 @t104)) % 0.52/0.77 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.52/0.77 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.52/0.77 (define @t112 () (@list @t95 @t4)) % 0.52/0.77 (define @t113 () (exists @t112 @t111)) % 0.52/0.77 (define @t114 () (exists @t9 @t109)) % 0.52/0.77 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.52/0.77 (define @t116 () (and @t115 @t114)) % 0.52/0.77 (define @t117 () (=> @t116 @t113)) % 0.52/0.77 (define @t118 () (@list @t104)) % 0.52/0.77 (define @t119 () (forall @t118 @t117)) % 0.52/0.77 (define @t120 () (_ @t5 @t95)) % 0.52/0.77 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.52/0.77 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.52/0.77 (define @t123 () (or @t122 @t121)) % 0.52/0.77 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.52/0.77 (define @t125 () (and @t124 @t110)) % 0.52/0.77 (define @t126 () (=> @t125 @t123)) % 0.52/0.77 (define @t127 () (@list @t104 @t95)) % 0.52/0.77 (define @t128 () (forall @t127 @t126)) % 0.52/0.77 (define @t129 () (= @t4 @t19)) % 0.52/0.77 (define @t130 () (= @t109 @t105)) % 0.52/0.77 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.52/0.77 (define @t132 () (=> @t131 @t129)) % 0.52/0.77 (define @t133 () (and @t7 @t21)) % 0.52/0.77 (define @t134 () (=> @t133 @t132)) % 0.52/0.77 (define @t135 () (@list @t4 @t19)) % 0.52/0.77 (define @t136 () (forall @t135 @t134)) % 0.52/0.77 (define @t137 () (=> @t124 @t115)) % 0.52/0.77 (define @t138 () (forall @t118 @t137)) % 0.52/0.77 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.52/0.77 (define @t140 () (exists @t41 @t139)) % 0.52/0.77 (define @t141 () (forall @t64 @t140)) % 0.52/0.77 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.52/0.77 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.52/0.77 (define @t144 () (_ @t143 @t4)) % 0.52/0.77 (define @t145 () (lambda @t9 @t144)) % 0.52/0.77 (define @t146 () (_ tptp.descr @t145)) % 0.52/0.77 (define @t147 () (_ @t143 @t146)) % 0.52/0.77 (define @t148 () (_ tptp.exu @t145)) % 0.52/0.77 (define @t149 () (=> @t148 @t147)) % 0.52/0.77 (define @t150 () (@list @t143)) % 0.52/0.77 (define @t151 () (forall @t150 @t149)) % 0.52/0.77 (define @t152 () (= tptp.descrp @t151)) % 0.52/0.77 (define @t153 () (_ @t143 @t19)) % 0.52/0.77 (define @t154 () (lambda @t70 @t153)) % 0.52/0.77 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.52/0.77 (define @t156 () (_ @t155 @t154)) % 0.52/0.77 (define @t157 () (_ @t5 @t156)) % 0.52/0.77 (define @t158 () (=> @t144 @t157)) % 0.52/0.77 (define @t159 () (@list @t2 @t143 @t4)) % 0.52/0.77 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.52/0.77 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.52/0.77 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.52/0.77 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.52/0.77 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.52/0.77 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.52/0.77 (define @t166 () (forall @t70 (=> @t153 @t129))) % 0.52/0.77 (define @t167 () (and @t144 @t166)) % 0.52/0.77 (define @t168 () (exists @t9 @t167)) % 0.52/0.77 (define @t169 () (=> @t148 @t168)) % 0.52/0.77 (define @t170 () (forall @t150 @t169)) % 0.52/0.77 (define @t171 () (= tptp.exuE1 @t170)) % 0.52/0.77 (define @t172 () (@var "Xphi" Bool)) % 0.52/0.77 (define @t173 () (_ tptp.prop2set @t172)) % 0.52/0.77 (define @t174 () (=> (_ @t5 @t173) @t172)) % 0.52/0.77 (define @t175 () (@list @t172 @t4)) % 0.52/0.77 (define @t176 () (forall @t175 @t174)) % 0.52/0.77 (define @t177 () (= tptp.prop2setE @t176)) % 0.52/0.77 (define @t178 () (@list @t172)) % 0.52/0.77 (define @t179 () (forall @t178 @t172)) % 0.52/0.77 (define @t180 () (=> @t15 @t179)) % 0.52/0.77 (define @t181 () (forall @t9 @t180)) % 0.52/0.77 (define @t182 () (= tptp.emptysetE @t181)) % 0.52/0.77 (define @t183 () (forall @t9 (=> @t15 false))) % 0.52/0.77 (define @t184 () (= tptp.emptysetimpfalse @t183)) % 0.52/0.77 (define @t185 () (exists @t9 @t144)) % 0.52/0.77 (define @t186 () (=> @t148 @t185)) % 0.52/0.77 (define @t187 () (forall @t150 @t186)) % 0.52/0.77 (define @t188 () (= tptp.exuE3e @t187)) % 0.52/0.77 (define @t189 () (=> @t32 @t3)) % 0.52/0.77 (define @t190 () (forall @t9 (=> @t7 @t6))) % 0.52/0.77 (define @t191 () (=> @t190 @t189)) % 0.52/0.77 (define @t192 () (forall @t12 @t191)) % 0.52/0.77 (define @t193 () (= tptp.setext @t192)) % 0.52/0.77 (define @t194 () (= @t2 tptp.emptyset)) % 0.52/0.77 (define @t195 () (not @t7)) % 0.52/0.77 (define @t196 () (forall @t9 @t195)) % 0.52/0.77 (define @t197 () (=> @t196 @t194)) % 0.52/0.77 (define @t198 () (forall @t64 @t197)) % 0.52/0.77 (define @t199 () (= tptp.emptyI @t198)) % 0.52/0.77 (define @t200 () (=> @t7 (= @t157 @t144))) % 0.52/0.77 (define @t201 () (forall @t159 @t200)) % 0.52/0.77 (define @t202 () (= tptp.setbeta @t201)) % 0.52/0.77 (define @t203 () (_ tptp.nonempty @t2)) % 0.52/0.77 (define @t204 () (=> @t203 @t89)) % 0.52/0.77 (define @t205 () (forall @t64 @t204)) % 0.52/0.77 (define @t206 () (= tptp.nonemptyE1 @t205)) % 0.52/0.77 (define @t207 () (=> @t144 (_ tptp.nonempty @t156))) % 0.52/0.77 (define @t208 () (=> @t7 @t207)) % 0.52/0.77 (define @t209 () (forall @t159 @t208)) % 0.52/0.77 (define @t210 () (= tptp.nonemptyI @t209)) % 0.52/0.77 (define @t211 () (=> @t89 @t203)) % 0.52/0.77 (define @t212 () (forall @t64 @t211)) % 0.52/0.77 (define @t213 () (= tptp.nonemptyI1 @t212)) % 0.52/0.77 (define @t214 () (_ @t24 @t19)) % 0.52/0.77 (define @t215 () (_ @t5 @t214)) % 0.52/0.77 (define @t216 () (forall @t135 @t215)) % 0.52/0.77 (define @t217 () (= tptp.setadjoinIL @t216)) % 0.52/0.77 (define @t218 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.52/0.77 (define @t219 () (_ @t49 @t218)) % 0.52/0.77 (define @t220 () (forall @t28 (=> @t21 @t26))) % 0.52/0.77 (define @t221 () (= tptp.setadjoinIR @t220)) % 0.52/0.77 (define @t222 () (=> @t21 @t172)) % 0.52/0.77 (define @t223 () (=> @t222 @t172)) % 0.52/0.77 (define @t224 () (=> @t22 @t172)) % 0.52/0.77 (define @t225 () (=> @t224 @t223)) % 0.52/0.77 (define @t226 () (forall @t178 @t225)) % 0.52/0.77 (define @t227 () (=> @t26 @t226)) % 0.52/0.77 (define @t228 () (forall @t28 @t227)) % 0.52/0.77 (define @t229 () (= tptp.setadjoinE @t228)) % 0.52/0.77 (define @t230 () (=> @t26 @t23)) % 0.52/0.77 (define @t231 () (forall @t28 @t230)) % 0.52/0.77 (define @t232 () (= tptp.setadjoinOr @t231)) % 0.52/0.77 (define @t233 () (lambda @t9 true)) % 0.52/0.77 (define @t234 () (= (_ @t155 @t233) @t2)) % 0.52/0.77 (define @t235 () (forall @t64 @t234)) % 0.52/0.77 (define @t236 () (= tptp.setoftrueEq @t235)) % 0.52/0.77 (define @t237 () (=> @t32 @t35)) % 0.52/0.77 (define @t238 () (forall @t12 @t237)) % 0.52/0.77 (define @t239 () (= tptp.powersetI @t238)) % 0.52/0.77 (define @t240 () (_ @t49 @t33)) % 0.52/0.77 (define @t241 () (forall @t64 @t240)) % 0.52/0.77 (define @t242 () (= tptp.emptyinPowerset @t241)) % 0.52/0.77 (define @t243 () (@list @t2 @t1 @t4)) % 0.52/0.77 (define @t244 () (forall @t243 (=> @t35 @t31))) % 0.52/0.77 (define @t245 () (= tptp.powersetE @t244)) % 0.52/0.77 (define @t246 () (=> @t39 @t44)) % 0.52/0.77 (define @t247 () (@list @t2 @t4 @t1)) % 0.52/0.77 (define @t248 () (forall @t247 (=> @t6 @t246))) % 0.52/0.77 (define @t249 () (= tptp.setunionI @t248)) % 0.52/0.77 (define @t250 () (=> @t39 @t172)) % 0.52/0.77 (define @t251 () (forall @t41 (=> @t6 @t250))) % 0.52/0.77 (define @t252 () (=> @t251 @t172)) % 0.52/0.77 (define @t253 () (forall @t178 @t252)) % 0.52/0.77 (define @t254 () (=> @t44 @t253)) % 0.52/0.77 (define @t255 () (forall @t46 @t254)) % 0.52/0.77 (define @t256 () (= tptp.setunionE @t255)) % 0.52/0.77 (define @t257 () (_ tptp.powerset @t43)) % 0.52/0.77 (define @t258 () (_ @t5 @t257)) % 0.52/0.77 (define @t259 () (forall @t46 (=> @t7 @t258))) % 0.52/0.77 (define @t260 () (= tptp.subPowSU @t259)) % 0.52/0.77 (define @t261 () (= @t153 @t22)) % 0.52/0.77 (define @t262 () (forall @t70 @t261)) % 0.52/0.77 (define @t263 () (exists @t9 @t262)) % 0.52/0.77 (define @t264 () (=> @t148 @t263)) % 0.52/0.77 (define @t265 () (forall @t150 @t264)) % 0.52/0.77 (define @t266 () (= tptp.exuE2 @t265)) % 0.52/0.77 (define @t267 () (and @t7 true)) % 0.52/0.77 (define @t268 () (exists @t9 @t267)) % 0.52/0.77 (define @t269 () (=> @t203 @t268)) % 0.52/0.77 (define @t270 () (forall @t64 @t269)) % 0.52/0.77 (define @t271 () (= tptp.nonemptyImpWitness @t270)) % 0.52/0.77 (define @t272 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 0.52/0.77 (define @t273 () (_ @t5 @t272)) % 0.52/0.77 (define @t274 () (forall @t135 (=> @t273 @t129))) % 0.52/0.77 (define @t275 () (= tptp.uniqinunit @t274)) % 0.52/0.77 (define @t276 () (_ @t24 tptp.emptyset)) % 0.52/0.77 (define @t277 () (_ @t20 @t276)) % 0.52/0.77 (define @t278 () (not @t277)) % 0.52/0.77 (define @t279 () (not @t129)) % 0.52/0.77 (define @t280 () (forall @t135 (=> @t279 @t278))) % 0.52/0.77 (define @t281 () (= tptp.notinsingleton @t280)) % 0.52/0.77 (define @t282 () (forall @t135 (=> @t129 @t273))) % 0.52/0.77 (define @t283 () (= tptp.eqinunit @t282)) % 0.52/0.77 (define @t284 () (forall @t135 (=> @t273 @t277))) % 0.52/0.77 (define @t285 () (= tptp.singletonsswitch @t284)) % 0.52/0.77 (define @t286 () (@var "Xz" $$unsorted)) % 0.52/0.77 (define @t287 () (or (= @t286 @t4) (= @t286 @t19))) % 0.52/0.77 (define @t288 () (_ @t24 @t272)) % 0.52/0.77 (define @t289 () (_ tptp.in @t286)) % 0.52/0.77 (define @t290 () (_ @t289 @t288)) % 0.52/0.77 (define @t291 () (=> @t290 @t287)) % 0.52/0.77 (define @t292 () (@list @t4 @t19 @t286)) % 0.52/0.77 (define @t293 () (forall @t292 @t291)) % 0.52/0.77 (define @t294 () (= tptp.upairsetE @t293)) % 0.52/0.77 (define @t295 () (_ @t5 @t288)) % 0.52/0.77 (define @t296 () (forall @t135 @t295)) % 0.52/0.77 (define @t297 () (= tptp.upairsetIL @t296)) % 0.52/0.77 (define @t298 () (_ @t20 @t288)) % 0.52/0.77 (define @t299 () (forall @t135 @t298)) % 0.52/0.77 (define @t300 () (= tptp.upairsetIR @t299)) % 0.52/0.77 (define @t301 () (_ @t155 @t145)) % 0.52/0.77 (define @t302 () (= @t301 tptp.emptyset)) % 0.52/0.77 (define @t303 () (and @t7 @t144)) % 0.52/0.77 (define @t304 () (exists @t9 @t303)) % 0.52/0.77 (define @t305 () (=> @t304 (=> @t302 false))) % 0.52/0.77 (define @t306 () (@list @t2 @t143)) % 0.52/0.77 (define @t307 () (forall @t306 @t305)) % 0.52/0.77 (define @t308 () (= tptp.emptyE1 @t307)) % 0.52/0.77 (define @t309 () (@list @t143 @t4)) % 0.52/0.77 (define @t310 () (forall @t309 (=> @t15 @t144))) % 0.52/0.77 (define @t311 () (= tptp.vacuousDall @t310)) % 0.52/0.77 (define @t312 () (not @t144)) % 0.52/0.77 (define @t313 () (and @t7 @t312)) % 0.52/0.77 (define @t314 () (exists @t9 @t313)) % 0.52/0.77 (define @t315 () (forall @t9 (=> @t7 @t144))) % 0.52/0.77 (define @t316 () (not @t315)) % 0.52/0.77 (define @t317 () (=> @t316 @t314)) % 0.52/0.77 (define @t318 () (forall @t306 @t317)) % 0.52/0.77 (define @t319 () (= tptp.quantDeMorgan1 @t318)) % 0.52/0.77 (define @t320 () (not @t304)) % 0.52/0.77 (define @t321 () (forall @t9 (=> @t7 @t312))) % 0.52/0.77 (define @t322 () (=> @t321 @t320)) % 0.52/0.77 (define @t323 () (forall @t306 @t322)) % 0.52/0.77 (define @t324 () (= tptp.quantDeMorgan2 @t323)) % 0.52/0.77 (define @t325 () (=> @t320 @t321)) % 0.52/0.77 (define @t326 () (forall @t306 @t325)) % 0.52/0.77 (define @t327 () (= tptp.quantDeMorgan3 @t326)) % 0.52/0.77 (define @t328 () (=> @t314 @t316)) % 0.52/0.77 (define @t329 () (forall @t306 @t328)) % 0.52/0.77 (define @t330 () (= tptp.quantDeMorgan4 @t329)) % 0.52/0.77 (define @t331 () (=> @t172 (_ @t49 @t173))) % 0.52/0.77 (define @t332 () (forall @t178 @t331)) % 0.52/0.77 (define @t333 () (=> tptp.quantDeMorgan4 @t332)) % 0.52/0.77 (define @t334 () (=> tptp.quantDeMorgan3 @t333)) % 0.52/0.77 (define @t335 () (=> tptp.quantDeMorgan2 @t334)) % 0.52/0.77 (define @t336 () (=> tptp.quantDeMorgan1 @t335)) % 0.52/0.77 (define @t337 () (=> tptp.vacuousDall @t336)) % 0.52/0.77 (define @t338 () (=> tptp.emptyE1 @t337)) % 0.52/0.77 (define @t339 () (=> tptp.upairsetIR @t338)) % 0.52/0.77 (define @t340 () (=> tptp.upairsetIL @t339)) % 0.52/0.77 (define @t341 () (=> tptp.upairsetE @t340)) % 0.52/0.77 (define @t342 () (=> tptp.singletonsswitch @t341)) % 0.52/0.77 (define @t343 () (=> tptp.eqinunit @t342)) % 0.52/0.77 (define @t344 () (=> tptp.notinsingleton @t343)) % 0.52/0.77 (define @t345 () (=> tptp.uniqinunit @t344)) % 0.52/0.77 (define @t346 () (=> tptp.nonemptyImpWitness @t345)) % 0.52/0.77 (define @t347 () (=> tptp.exuE2 @t346)) % 0.52/0.77 (define @t348 () (=> tptp.subPowSU @t347)) % 0.52/0.77 (define @t349 () (=> tptp.setunionE @t348)) % 0.52/0.77 (define @t350 () (=> tptp.setunionI @t349)) % 0.52/0.77 (define @t351 () (=> tptp.powersetE @t350)) % 0.52/0.77 (define @t352 () (=> tptp.emptyInPowerset @t351)) % 0.52/0.77 (define @t353 () (=> tptp.emptyinPowerset @t352)) % 0.52/0.77 (define @t354 () (=> tptp.powersetI @t353)) % 0.52/0.77 (define @t355 () (=> tptp.setoftrueEq @t354)) % 0.52/0.77 (define @t356 () (=> tptp.setadjoinOr @t355)) % 0.52/0.77 (define @t357 () (=> tptp.setadjoinE @t356)) % 0.52/0.77 (define @t358 () (=> tptp.setadjoinIR @t357)) % 0.52/0.77 (define @t359 () (=> tptp.emptyinunitempty @t358)) % 0.52/0.77 (define @t360 () (=> tptp.setadjoinIL @t359)) % 0.52/0.77 (define @t361 () (=> tptp.nonemptyI1 @t360)) % 0.52/0.77 (define @t362 () (=> tptp.nonemptyI @t361)) % 0.52/0.77 (define @t363 () (=> tptp.nonemptyE1 @t362)) % 0.52/0.77 (define @t364 () (=> tptp.setbeta @t363)) % 0.52/0.77 (define @t365 () (=> tptp.noeltsimpempty @t364)) % 0.52/0.77 (define @t366 () (=> tptp.emptyI @t365)) % 0.52/0.77 (define @t367 () (=> tptp.setext @t366)) % 0.52/0.77 (define @t368 () (=> tptp.exuE3e @t367)) % 0.52/0.77 (define @t369 () (=> tptp.notinemptyset @t368)) % 0.52/0.77 (define @t370 () (=> tptp.emptysetimpfalse @t369)) % 0.52/0.77 (define @t371 () (=> tptp.emptysetE @t370)) % 0.52/0.77 (define @t372 () (=> tptp.prop2setE @t371)) % 0.52/0.77 (define @t373 () (=> tptp.exuE1 @t372)) % 0.52/0.77 (define @t374 () (=> tptp.dsetconstrER @t373)) % 0.52/0.77 (define @t375 () (=> tptp.dsetconstrEL @t374)) % 0.52/0.77 (define @t376 () (=> tptp.dsetconstrI @t375)) % 0.52/0.77 (define @t377 () (=> tptp.descrp @t376)) % 0.52/0.77 (define @t378 () (=> tptp.wellorderingAx @t377)) % 0.52/0.77 (define @t379 () (=> tptp.foundationAx @t378)) % 0.52/0.77 (define @t380 () (=> tptp.replAx @t379)) % 0.52/0.77 (define @t381 () (=> tptp.omegaIndAx @t380)) % 0.52/0.77 (define @t382 () (=> tptp.omegaSAx @t381)) % 0.52/0.77 (define @t383 () (=> tptp.omega0Ax @t382)) % 0.52/0.77 (define @t384 () (=> tptp.setunionAx @t383)) % 0.52/0.77 (define @t385 () (=> tptp.powersetAx @t384)) % 0.52/0.77 (define @t386 () (=> tptp.setadjoinAx @t385)) % 0.52/0.77 (define @t387 () (=> tptp.emptysetAx @t386)) % 0.52/0.77 (define @t388 () (=> tptp.setextAx @t387)) % 0.52/0.77 (define @t389 () (not @t388)) % 0.52/0.77 (define @t390 () (lambda @t150 @t168)) % 0.52/0.77 (define @t391 () (lambda @t9 @t172)) % 0.52/0.77 (define @t392 () (_ tptp.powerset tptp.emptyset)) % 0.52/0.77 (define @t393 () (_ tptp.dsetconstr @t392)) % 0.52/0.77 (define @t394 () (_ @t393 @t391)) % 0.52/0.77 (define @t395 () (lambda @t178 @t394)) % 0.52/0.77 (define @t396 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.52/0.77 (define @t397 () (@var "BOUND_VARIABLE_9676" $$unsorted)) % 0.52/0.77 (define @t398 () (lambda (@list @t397) true)) % 0.52/0.77 (define @t399 () (@purify @t398)) % 0.52/0.77 (define @t400 () (tptp.powerset tptp.emptyset)) % 0.52/0.77 (define @t401 () (tptp.dsetconstr @t400 @t398)) % 0.52/0.77 (define @t402 () (tptp.in tptp.emptyset @t401)) % 0.52/0.77 (define @t403 () (_ @t143 @t4)) % 0.52/0.77 (define @t404 () (tptp.in @t4 tptp.emptyset)) % 0.52/0.77 (define @t405 () (not @t404)) % 0.52/0.77 (define @t406 () (forall @t309 (or @t405 @t403))) % 0.52/0.77 (define @t407 () (=> @t406 @t402)) % 0.52/0.77 (define @t408 () (@var "BOUND_VARIABLE_8913" $$unsorted)) % 0.52/0.77 (define @t409 () (not (_ @t143 @t408))) % 0.52/0.77 (define @t410 () (not (tptp.in @t408 @t2))) % 0.52/0.77 (define @t411 () (tptp.dsetconstr @t2 @t143)) % 0.52/0.77 (define @t412 () (not (= tptp.emptyset @t411))) % 0.52/0.77 (define @t413 () (or @t412 @t410 @t409)) % 0.52/0.77 (define @t414 () (@list @t2 @t143 @t408)) % 0.52/0.77 (define @t415 () (forall @t414 @t413)) % 0.52/0.77 (define @t416 () (=> @t415 @t407)) % 0.52/0.77 (define @t417 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.52/0.77 (define @t418 () (tptp.setadjoin @t4 @t417)) % 0.52/0.77 (define @t419 () (tptp.in @t19 @t418)) % 0.52/0.77 (define @t420 () (forall @t135 @t419)) % 0.52/0.77 (define @t421 () (=> @t420 @t416)) % 0.52/0.77 (define @t422 () (tptp.in @t4 @t418)) % 0.52/0.77 (define @t423 () (forall @t135 @t422)) % 0.52/0.77 (define @t424 () (=> @t423 @t421)) % 0.52/0.77 (define @t425 () (= @t19 @t286)) % 0.52/0.77 (define @t426 () (= @t4 @t286)) % 0.52/0.77 (define @t427 () (tptp.in @t286 @t418)) % 0.52/0.77 (define @t428 () (forall @t292 (or (not @t427) @t426 @t425))) % 0.52/0.77 (define @t429 () (=> @t428 @t424)) % 0.52/0.77 (define @t430 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.52/0.77 (define @t431 () (tptp.in @t19 @t430)) % 0.52/0.77 (define @t432 () (tptp.in @t4 @t417)) % 0.52/0.77 (define @t433 () (not @t432)) % 0.52/0.77 (define @t434 () (forall @t135 (or @t433 @t431))) % 0.52/0.77 (define @t435 () (=> @t434 @t429)) % 0.52/0.77 (define @t436 () (tptp.in @t19 @t417)) % 0.52/0.77 (define @t437 () (forall @t70 @t436)) % 0.52/0.77 (define @t438 () (=> @t437 @t435)) % 0.52/0.77 (define @t439 () (forall @t135 (or @t129 (not @t431)))) % 0.52/0.77 (define @t440 () (=> @t439 @t438)) % 0.52/0.77 (define @t441 () (forall @t135 (or @t433 @t129))) % 0.52/0.77 (define @t442 () (=> @t441 @t440)) % 0.52/0.77 (define @t443 () (tptp.in @t4 @t2)) % 0.52/0.77 (define @t444 () (not @t443)) % 0.52/0.77 (define @t445 () (forall @t9 @t444)) % 0.52/0.77 (define @t446 () (not @t445)) % 0.52/0.77 (define @t447 () (forall @t64 (or @t194 @t446))) % 0.52/0.77 (define @t448 () (=> @t447 @t442)) % 0.52/0.77 (define @t449 () (@var "BOUND_VARIABLE_8797" $$unsorted)) % 0.52/0.77 (define @t450 () (_ @t143 @t19)) % 0.52/0.77 (define @t451 () (not @t450)) % 0.52/0.77 (define @t452 () (not (_ @t143 @t449))) % 0.52/0.77 (define @t453 () (forall @t70 (= @t129 @t450))) % 0.52/0.77 (define @t454 () (not (forall @t9 (not @t453)))) % 0.52/0.77 (define @t455 () (@list @t143 @t449)) % 0.52/0.77 (define @t456 () (forall @t455 (or @t454 @t452 (not (forall @t70 (or @t451 (= @t19 @t449))))))) % 0.52/0.77 (define @t457 () (=> @t456 @t448)) % 0.52/0.77 (define @t458 () (tptp.setunion @t2)) % 0.52/0.77 (define @t459 () (tptp.powerset @t458)) % 0.52/0.77 (define @t460 () (tptp.in @t4 @t459)) % 0.52/0.77 (define @t461 () (forall @t46 (or @t444 @t460))) % 0.52/0.77 (define @t462 () (=> @t461 @t457)) % 0.52/0.77 (define @t463 () (tptp.in @t1 @t2)) % 0.52/0.77 (define @t464 () (not @t463)) % 0.52/0.77 (define @t465 () (tptp.in @t4 @t1)) % 0.52/0.77 (define @t466 () (not @t465)) % 0.52/0.77 (define @t467 () (forall @t41 (or @t466 @t464))) % 0.52/0.77 (define @t468 () (not @t467)) % 0.52/0.77 (define @t469 () (tptp.in @t4 @t458)) % 0.52/0.77 (define @t470 () (forall @t46 (or (not @t469) @t468))) % 0.52/0.77 (define @t471 () (=> @t470 @t462)) % 0.52/0.77 (define @t472 () (forall @t247 (or @t466 @t464 @t469))) % 0.52/0.77 (define @t473 () (=> @t472 @t471)) % 0.52/0.77 (define @t474 () (tptp.powerset @t2)) % 0.52/0.77 (define @t475 () (tptp.in @t1 @t474)) % 0.52/0.77 (define @t476 () (forall @t243 (or (not @t475) @t466 @t443))) % 0.52/0.77 (define @t477 () (=> @t476 @t473)) % 0.52/0.77 (define @t478 () (tptp.in tptp.emptyset @t474)) % 0.52/0.77 (define @t479 () (forall @t64 @t478)) % 0.52/0.77 (define @t480 () (=> @t479 @t477)) % 0.52/0.77 (define @t481 () (=> @t479 @t480)) % 0.52/0.77 (define @t482 () (forall @t9 (or @t466 @t443))) % 0.52/0.77 (define @t483 () (not @t482)) % 0.52/0.77 (define @t484 () (forall @t12 (or @t483 @t475))) % 0.52/0.77 (define @t485 () (=> @t484 @t481)) % 0.52/0.77 (define @t486 () (tptp.dsetconstr @t2 @t398)) % 0.52/0.77 (define @t487 () (forall @t64 (= @t2 @t486))) % 0.52/0.77 (define @t488 () (=> @t487 @t485)) % 0.52/0.77 (define @t489 () (tptp.in @t19 @t2)) % 0.52/0.77 (define @t490 () (tptp.setadjoin @t4 @t2)) % 0.52/0.77 (define @t491 () (tptp.in @t19 @t490)) % 0.52/0.77 (define @t492 () (forall @t28 (or (not @t491) @t129 @t489))) % 0.52/0.77 (define @t493 () (=> @t492 @t488)) % 0.52/0.77 (define @t494 () (=> @t492 @t493)) % 0.52/0.77 (define @t495 () (not @t489)) % 0.52/0.77 (define @t496 () (forall @t28 (or @t495 @t491))) % 0.52/0.77 (define @t497 () (=> @t496 @t494)) % 0.52/0.77 (define @t498 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.52/0.77 (define @t499 () (tptp.in tptp.emptyset @t498)) % 0.52/0.77 (define @t500 () (=> @t219 @t497)) % 0.52/0.77 (define @t501 () (tptp.setadjoin @t4 @t19)) % 0.52/0.77 (define @t502 () (tptp.in @t4 @t501)) % 0.52/0.77 (define @t503 () (forall @t135 @t502)) % 0.52/0.77 (define @t504 () (=> @t503 @t500)) % 0.52/0.77 (define @t505 () (@var "BOUND_VARIABLE_8638" $$unsorted)) % 0.52/0.77 (define @t506 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(or @t539 @t443))) % 0.52/0.77 (define @t543 () (=> @t542 @t541)) % 0.52/0.77 (define @t544 () (forall @t159 (or @t444 @t510 @t514))) % 0.52/0.77 (define @t545 () (=> @t544 @t543)) % 0.52/0.77 (define @t546 () (@var "BOUND_VARIABLE_8406" $$unsorted)) % 0.52/0.77 (define @t547 () (not (_ @t143 @t546))) % 0.52/0.77 (define @t548 () (_ @t143 (tptp.descr @t143))) % 0.52/0.77 (define @t549 () (@list @t143 @t546)) % 0.52/0.77 (define @t550 () (forall @t549 (or @t548 @t547 (not (forall @t70 (or @t451 (= @t19 @t546))))))) % 0.52/0.77 (define @t551 () (=> @t550 @t545)) % 0.52/0.77 (define @t552 () (@var "BOUND_VARIABLE_8326" $$unsorted)) % 0.52/0.77 (define @t553 () (tptp.in @t552 @t95)) % 0.52/0.77 (define @t554 () (not (tptp.in @t552 @t93))) % 0.52/0.77 (define @t555 () (tptp.in @t4 @t93)) % 0.52/0.77 (define @t556 () (tptp.in @t93 @t1)) % 0.52/0.77 (define @t557 () (not @t556)) % 0.52/0.77 (define @t558 () (or @t557 @t555 @t554 @t553)) % 0.52/0.77 (define @t559 () (@list @t93 @t552)) % 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0.52/0.77 (define @t596 () (not (tptp.in @t594 @t104))) % 0.52/0.77 (define @t597 () (or @t585 @t596 @t595)) % 0.52/0.77 (define @t598 () (@list @t104 @t594)) % 0.52/0.77 (define @t599 () (forall @t598 @t597)) % 0.52/0.77 (define @t600 () (not @t599)) % 0.52/0.77 (define @t601 () (or @t600 @t593 @t589 @t577)) % 0.52/0.77 (define @t602 () (forall @t64 (not (forall @t41 @t601)))) % 0.52/0.77 (define @t603 () (=> @t602 @t551)) % 0.52/0.77 (define @t604 () (forall @t9 (or @t466 @t444))) % 0.52/0.77 (define @t605 () (not @t604)) % 0.52/0.77 (define @t606 () (not (forall @t41 (or @t464 @t605)))) % 0.52/0.77 (define @t607 () (@var "BOUND_VARIABLE_8196" $$unsorted)) % 0.52/0.77 (define @t608 () (not (tptp.in @t607 @t2))) % 0.52/0.77 (define @t609 () (or @t608 @t606)) % 0.52/0.77 (define @t610 () (forall (@list @t2 @t607) @t609)) % 0.52/0.77 (define @t611 () (=> @t610 @t603)) % 0.52/0.77 (define @t612 () (_ @t67 @t19 @t4)) % 0.52/0.77 (define @t613 () (not (forall @t70 (or @t495 (not @t612))))) 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(define @t631 () (tptp.in @t4 tptp.omega)) % 0.52/0.77 (define @t632 () (not @t631)) % 0.52/0.77 (define @t633 () (forall @t9 (or @t632 @t444 @t630))) % 0.52/0.77 (define @t634 () (not @t633)) % 0.52/0.77 (define @t635 () (tptp.in tptp.emptyset @t2)) % 0.52/0.77 (define @t636 () (not @t635)) % 0.52/0.77 (define @t637 () (or @t636 @t634 @t628 @t627)) % 0.52/0.77 (define @t638 () (@list @t2 @t626)) % 0.52/0.77 (define @t639 () (forall @t638 @t637)) % 0.52/0.77 (define @t640 () (=> @t639 @t625)) % 0.52/0.77 (define @t641 () (tptp.in @t629 tptp.omega)) % 0.52/0.77 (define @t642 () (forall @t9 (or @t632 @t641))) % 0.52/0.77 (define @t643 () (=> @t642 @t640)) % 0.52/0.77 (define @t644 () (tptp.in tptp.emptyset tptp.omega)) % 0.52/0.77 (define @t645 () (=> @t50 @t643)) % 0.52/0.77 (define @t646 () (forall @t46 (= @t468 @t469))) % 0.52/0.77 (define @t647 () (=> @t646 @t645)) % 0.52/0.77 (define @t648 () (forall @t12 (= @t482 @t475))) % 0.52/0.77 (define @t649 () (=> @t648 @t647)) % 0.52/0.77 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@t726)) % 0.52/0.77 (define @t732 () (@list @t4)) % 0.52/0.77 (define @t733 () (or @t731 @t412)) % 0.52/0.77 (define @t734 () (lambda @t9 @t403)) % 0.52/0.77 (define @t735 () (tptp.dsetconstr @t2 @t734)) % 0.52/0.77 (define @t736 () (= tptp.emptyset @t735)) % 0.52/0.77 (define @t737 () (not @t736)) % 0.52/0.77 (define @t738 () (or @t717 @t737)) % 0.52/0.77 (define @t739 () (= tptp.emptyset @t301)) % 0.52/0.77 (define @t740 () (not @t739)) % 0.52/0.77 (define @t741 () (or @t717 @t740)) % 0.52/0.77 (define @t742 () (not @t717)) % 0.52/0.77 (define @t743 () (=> tptp.emptyE1 @t725)) % 0.52/0.77 (define @t744 () (=> tptp.upairsetIR @t743)) % 0.52/0.77 (define @t745 () (=> tptp.upairsetIL @t744)) % 0.52/0.77 (define @t746 () (not @t290)) % 0.52/0.77 (define @t747 () (or @t746 @t426 @t425)) % 0.52/0.77 (define @t748 () (or @t426 @t425)) % 0.52/0.77 (define @t749 () (=> tptp.upairsetE @t745)) % 0.52/0.77 (define @t750 () (not @t273)) % 0.52/0.77 (define @t751 () (or @t750 @t277)) % 0.52/0.77 (define @t752 () (=> tptp.singletonsswitch @t749)) % 0.52/0.77 (define @t753 () (not true)) % 0.52/0.77 (define @t754 () (not (= @t19 @t19))) % 0.52/0.77 (define @t755 () (or @t754 @t436)) % 0.52/0.77 (define @t756 () (or @t279 @t279 @t432)) % 0.52/0.77 (define @t757 () (or @t279 @t432)) % 0.52/0.77 (define @t758 () (forall @t9 @t757)) % 0.52/0.77 (define @t759 () (forall @t70 @t758)) % 0.52/0.77 (define @t760 () (forall (@list @t19 @t4) @t757)) % 0.52/0.77 (define @t761 () (or @t279 @t273)) % 0.52/0.77 (define @t762 () (=> tptp.eqinunit @t752)) % 0.52/0.77 (define @t763 () (or @t129 @t278)) % 0.52/0.77 (define @t764 () (=> tptp.notinsingleton @t762)) % 0.52/0.77 (define @t765 () (or @t750 @t129)) % 0.52/0.77 (define @t766 () (=> tptp.uniqinunit @t764)) % 0.52/0.77 (define @t767 () (not @t194)) % 0.52/0.77 (define @t768 () (not @t196)) % 0.52/0.77 (define @t769 () (_ @t396 @t2)) % 0.52/0.77 (define @t770 () (=> @t769 @t268)) % 0.52/0.77 (define @t771 () (forall @t64 @t770)) % 0.52/0.77 (define @t772 () (=> tptp.nonemptyImpWitness @t766)) % 0.52/0.77 (define @t773 () (or @t451 (= @t449 @t19))) % 0.52/0.77 (define @t774 () (forall @t70 @t773)) % 0.52/0.77 (define @t775 () (not @t774)) % 0.52/0.77 (define @t776 () (or @t454 @t452 @t775)) % 0.52/0.77 (define @t777 () (or @t452 @t775)) % 0.52/0.77 (define @t778 () (or @t777 @t454)) % 0.52/0.77 (define @t779 () (forall @t455 @t778)) % 0.52/0.77 (define @t780 () (@list @t449)) % 0.52/0.77 (define @t781 () (forall @t780 @t778)) % 0.52/0.77 (define @t782 () (forall @t780 @t777)) % 0.52/0.77 (define @t783 () (or @t782 @t454)) % 0.52/0.77 (define @t784 () (forall @t70 (or @t451 @t129))) % 0.52/0.77 (define @t785 () (not @t784)) % 0.52/0.77 (define @t786 () (forall @t9 (or @t510 @t785))) % 0.52/0.77 (define @t787 () (not @t786)) % 0.52/0.77 (define @t788 () (not @t787)) % 0.52/0.77 (define @t789 () (= @t153 @t129)) % 0.52/0.77 (define @t790 () (or @t312 @t785)) % 0.52/0.77 (define @t791 () (not @t153)) % 0.52/0.77 (define @t792 () (or @t791 @t129)) % 0.52/0.77 (define @t793 () (_ @t145 @t19)) % 0.52/0.77 (define @t794 () (not @t793)) % 0.52/0.77 (define @t795 () (or @t794 @t129)) % 0.52/0.77 (define @t796 () (forall @t70 @t795)) % 0.52/0.77 (define @t797 () (not @t796)) % 0.52/0.77 (define @t798 () (_ @t145 @t4)) % 0.52/0.77 (define @t799 () (not @t798)) % 0.52/0.77 (define @t800 () (or @t799 @t797)) % 0.52/0.77 (define @t801 () (forall @t9 @t800)) % 0.52/0.77 (define @t802 () (not @t801)) % 0.52/0.77 (define @t803 () (lambda @t150 @t787)) % 0.52/0.77 (define @t804 () (_ @t803 @t145)) % 0.52/0.77 (define @t805 () (=> @t804 @t263)) % 0.52/0.77 (define @t806 () (forall @t150 @t805)) % 0.52/0.77 (define @t807 () (and @t144 @t784)) % 0.52/0.77 (define @t808 () (forall @t9 (not @t807))) % 0.52/0.77 (define @t809 () (not @t808)) % 0.52/0.77 (define @t810 () (=> tptp.exuE2 @t772)) % 0.52/0.77 (define @t811 () (or @t195 @t258)) % 0.52/0.77 (define @t812 () (=> tptp.subPowSU @t810)) % 0.52/0.77 (define @t813 () (not @t44)) % 0.52/0.77 (define @t814 () (or @t813 @t468)) % 0.52/0.77 (define @t815 () (not false)) % 0.52/0.77 (define @t816 () (and @t815 @t468)) % 0.52/0.77 (define @t817 () (or @t816 false)) % 0.52/0.77 (define @t818 () (not @t172)) % 0.52/0.77 (define @t819 () (and @t818 @t468)) % 0.52/0.77 (define @t820 () (not (= @t172 false))) % 0.52/0.77 (define @t821 () (or @t172 @t819 @t172)) % 0.52/0.77 (define @t822 () (or @t819 @t172)) % 0.52/0.77 (define @t823 () (or @t172 @t467)) % 0.52/0.77 (define @t824 () (not @t39)) % 0.52/0.77 (define @t825 () (not @t6)) % 0.52/0.77 (define @t826 () (or @t825 @t824)) % 0.52/0.77 (define @t827 () (forall @t41 @t826)) % 0.52/0.77 (define @t828 () (or @t172 @t827)) % 0.52/0.77 (define @t829 () (or @t172 @t826)) % 0.52/0.77 (define @t830 () (or @t825 @t824 @t172)) % 0.52/0.77 (define @t831 () (=> tptp.setunionE @t812)) % 0.52/0.77 (define @t832 () (or @t825 @t824 @t44)) % 0.52/0.77 (define @t833 () (=> tptp.setunionI @t831)) % 0.52/0.77 (define @t834 () (not @t35)) % 0.52/0.77 (define @t835 () (or @t834 @t825 @t7)) % 0.52/0.77 (define @t836 () (or @t825 @t7)) % 0.52/0.77 (define @t837 () (=> tptp.powersetE @t833)) % 0.52/0.77 (define @t838 () (=> tptp.emptyInPowerset @t837)) % 0.52/0.77 (define @t839 () (=> tptp.emptyinPowerset @t838)) % 0.52/0.77 (define @t840 () (or @t483 @t35)) % 0.52/0.77 (define @t841 () (=> tptp.powersetI @t839)) % 0.52/0.77 (define @t842 () (_ @t155 @t398)) % 0.52/0.77 (define @t843 () (= @t2 @t842)) % 0.52/0.77 (define @t844 () (=> tptp.setoftrueEq @t841)) % 0.52/0.77 (define @t845 () (not @t26)) % 0.52/0.77 (define @t846 () (or @t845 @t129 @t21)) % 0.52/0.77 (define @t847 () (or @t129 @t21)) % 0.52/0.77 (define @t848 () (=> tptp.setadjoinOr @t844)) % 0.52/0.77 (define @t849 () (or @t845 @t129 @t489)) % 0.52/0.77 (define @t850 () (and @t489 @t815)) % 0.52/0.77 (define @t851 () (and @t129 @t815)) % 0.52/0.77 (define @t852 () (or @t851 @t850)) % 0.52/0.77 (define @t853 () (or @t851 @t850 false)) % 0.52/0.77 (define @t854 () (and @t489 @t818)) % 0.52/0.77 (define @t855 () (and @t129 @t818)) % 0.52/0.77 (define @t856 () (or @t172 @t855 @t854 @t172)) % 0.52/0.77 (define @t857 () (or @t855 @t854 @t172)) % 0.52/0.77 (define @t858 () (and @t21 @t818)) % 0.52/0.77 (define @t859 () (or @t855 @t858 @t172)) % 0.52/0.77 (define @t860 () (=> @t129 @t172)) % 0.52/0.77 (define @t861 () (=> tptp.setadjoinE @t848)) % 0.52/0.77 (define @t862 () (not @t21)) % 0.52/0.77 (define @t863 () (or @t862 @t26)) % 0.52/0.77 (define @t864 () (=> tptp.setadjoinIR @t861)) % 0.52/0.77 (define @t865 () (=> tptp.emptyinunitempty @t864)) % 0.52/0.77 (define @t866 () (=> tptp.setadjoinIL @t865)) % 0.52/0.77 (define @t867 () (not (= tptp.emptyset tptp.emptyset))) % 0.52/0.77 (define @t868 () (or @t506 @t867)) % 0.52/0.77 (define @t869 () (not (tptp.in @t505 @t2))) % 0.52/0.77 (define @t870 () (or @t767 @t869 @t767)) % 0.52/0.77 (define @t871 () (or @t869 @t767)) % 0.52/0.77 (define @t872 () (forall @t64 @t871)) % 0.52/0.77 (define @t873 () (forall @t507 @t872)) % 0.52/0.77 (define @t874 () (forall (@list @t505 @t2) @t871)) % 0.52/0.77 (define @t875 () (forall (@list @t2 @t505) @t871)) % 0.52/0.77 (define @t876 () (forall @t507 @t871)) % 0.52/0.77 (define @t877 () (forall @t507 @t869)) % 0.52/0.77 (define @t878 () (or @t877 @t767)) % 0.52/0.77 (define @t879 () (not @t446)) % 0.52/0.77 (define @t880 () (=> @t89 @t769)) % 0.52/0.77 (define @t881 () (forall @t64 @t880)) % 0.52/0.77 (define @t882 () (=> tptp.nonemptyI1 @t866)) % 0.52/0.77 (define @t883 () (lambda @t70 @t450)) % 0.52/0.77 (define @t884 () (tptp.dsetconstr @t2 @t883)) % 0.52/0.77 (define @t885 () (= tptp.emptyset @t884)) % 0.52/0.77 (define @t886 () (not @t885)) % 0.52/0.77 (define @t887 () (or @t444 @t510 @t886)) % 0.52/0.77 (define @t888 () (= tptp.emptyset @t156)) % 0.52/0.77 (define @t889 () (not @t888)) % 0.52/0.77 (define @t890 () (or @t195 @t312 @t889)) % 0.52/0.77 (define @t891 () (=> @t144 @t889)) % 0.52/0.77 (define @t892 () (not (= @t156 tptp.emptyset))) % 0.52/0.77 (define @t893 () (_ @t396 @t156)) % 0.52/0.77 (define @t894 () (=> @t144 @t893)) % 0.52/0.77 (define @t895 () (=> @t7 @t894)) % 0.52/0.77 (define @t896 () (forall @t159 @t895)) % 0.52/0.77 (define @t897 () (=> tptp.nonemptyI @t882)) % 0.52/0.77 (define @t898 () (=> @t769 @t89)) % 0.52/0.77 (define @t899 () (forall @t64 @t898)) % 0.52/0.77 (define @t900 () (=> tptp.nonemptyE1 @t897)) % 0.52/0.77 (define @t901 () (tptp.in @t4 @t884)) % 0.52/0.77 (define @t902 () (= @t403 @t901)) % 0.52/0.77 (define @t903 () (or @t444 @t902)) % 0.52/0.77 (define @t904 () (= @t144 @t157)) % 0.52/0.77 (define @t905 () (or @t195 @t904)) % 0.52/0.77 (define @t906 () (=> tptp.setbeta @t900)) % 0.52/0.77 (define @t907 () (=> tptp.noeltsimpempty @t906)) % 0.52/0.77 (define @t908 () (=> tptp.emptyI @t907)) % 0.52/0.77 (define @t909 () (=> @t482 @t3)) % 0.52/0.77 (define @t910 () (or @t195 @t6)) % 0.52/0.77 (define @t911 () (=> tptp.setext @t908)) % 0.52/0.77 (define @t912 () (or @t451 (= @t525 @t19))) % 0.52/0.77 (define @t913 () (forall @t70 @t912)) % 0.52/0.77 (define @t914 () (not @t913)) % 0.52/0.77 (define @t915 () (or @t527 @t526 @t914)) % 0.52/0.77 (define @t916 () (or @t526 @t914)) % 0.52/0.77 (define @t917 () (or @t916 @t527)) % 0.52/0.77 (define @t918 () (forall @t528 @t917)) % 0.52/0.77 (define @t919 () (@list @t525)) % 0.52/0.77 (define @t920 () (forall @t919 @t917)) % 0.52/0.77 (define @t921 () (forall @t919 @t916)) % 0.52/0.77 (define @t922 () (or @t921 @t527)) % 0.52/0.77 (define @t923 () (forall @t9 @t312)) % 0.52/0.77 (define @t924 () (not @t923)) % 0.52/0.77 (define @t925 () (=> @t804 @t185)) % 0.52/0.77 (define @t926 () (forall @t150 @t925)) % 0.52/0.77 (define @t927 () (=> tptp.exuE3e @t911)) % 0.52/0.77 (define @t928 () (=> tptp.notinemptyset @t927)) % 0.52/0.77 (define @t929 () (=> tptp.emptysetimpfalse @t928)) % 0.52/0.77 (define @t930 () (or @t172 @t172)) % 0.52/0.77 (define @t931 () (=> tptp.emptysetE @t929)) % 0.52/0.77 (define @t932 () (@var "BOUND_VARIABLE_8480" $$unsorted)) % 0.52/0.77 (define @t933 () (@list @t932)) % 0.52/0.77 (define @t934 () (lambda @t933 false)) % 0.52/0.77 (define @t935 () (@list @t932)) % 0.52/0.77 (define @t936 () (tptp.dsetconstr @t400 @t934)) % 0.52/0.77 (define @t937 () (tptp.in @t4 @t936)) % 0.52/0.77 (define @t938 () (not @t937)) % 0.52/0.77 (define @t939 () (or @t938 false)) % 0.52/0.77 (define @t940 () (lambda @t933 @t172)) % 0.52/0.77 (define @t941 () (tptp.dsetconstr @t400 @t940)) % 0.52/0.77 (define @t942 () (tptp.in @t4 @t941)) % 0.52/0.77 (define @t943 () (not @t942)) % 0.52/0.77 (define @t944 () (or @t172 @t943 @t172)) % 0.52/0.77 (define @t945 () (or @t943 @t172)) % 0.52/0.77 (define @t946 () (forall @t178 @t945)) % 0.52/0.77 (define @t947 () (forall @t9 @t946)) % 0.52/0.77 (define @t948 () (forall (@list @t4 @t172) @t945)) % 0.52/0.77 (define @t949 () (_ @t393 @t940)) % 0.52/0.77 (define @t950 () (_ @t5 @t949)) % 0.52/0.77 (define @t951 () (_ tptp.dsetconstr @t400)) % 0.52/0.77 (define @t952 () (not @t950)) % 0.52/0.77 (define @t953 () (or @t952 @t172)) % 0.52/0.77 (define @t954 () (=> (_ @t5 @t394) @t172)) % 0.52/0.77 (define @t955 () (_ @t395 @t172)) % 0.52/0.77 (define @t956 () (=> (_ @t5 @t955) @t172)) % 0.52/0.77 (define @t957 () (forall @t175 @t956)) % 0.52/0.77 (define @t958 () (=> tptp.prop2setE @t931)) % 0.52/0.77 (define @t959 () (=> @t804 @t168)) % 0.52/0.77 (define @t960 () (forall @t150 @t959)) % 0.52/0.77 (define @t961 () (=> tptp.exuE1 @t958)) % 0.52/0.77 (define @t962 () (not @t901)) % 0.52/0.77 (define @t963 () (or @t962 @t403)) % 0.52/0.77 (define @t964 () (not @t157)) % 0.52/0.77 (define @t965 () (or @t964 @t144)) % 0.52/0.77 (define @t966 () (=> tptp.dsetconstrER @t961)) % 0.52/0.77 (define @t967 () (or @t962 @t443)) % 0.52/0.77 (define @t968 () (or @t964 @t7)) % 0.52/0.77 (define @t969 () (=> tptp.dsetconstrEL @t966)) % 0.52/0.77 (define @t970 () (or @t444 @t510 @t901)) % 0.52/0.77 (define @t971 () (or @t195 @t312 @t157)) % 0.52/0.77 (define @t972 () (=> tptp.dsetconstrI @t969)) % 0.52/0.77 (define @t973 () (or @t451 (= @t546 @t19))) % 0.52/0.77 (define @t974 () (forall @t70 @t973)) % 0.52/0.77 (define @t975 () (not @t974)) % 0.52/0.77 (define @t976 () (or @t548 @t547 @t975)) % 0.52/0.77 (define @t977 () (or @t547 @t975)) % 0.52/0.77 (define @t978 () (or @t977 @t548)) % 0.52/0.77 (define @t979 () (forall @t549 @t978)) % 0.52/0.77 (define @t980 () (@list @t546)) % 0.52/0.77 (define @t981 () (forall @t980 @t978)) % 0.52/0.77 (define @t982 () (forall @t980 @t977)) % 0.52/0.77 (define @t983 () (or @t982 @t548)) % 0.52/0.77 (define @t984 () (tptp.descr @t734)) % 0.52/0.77 (define @t985 () (_ @t143 @t984)) % 0.52/0.77 (define @t986 () (or @t786 @t985)) % 0.52/0.77 (define @t987 () (or @t786 @t147)) % 0.52/0.77 (define @t988 () (=> @t804 @t147)) % 0.52/0.77 (define @t989 () (forall @t150 @t988)) % 0.52/0.77 (define @t990 () (=> tptp.descrp @t972)) % 0.52/0.77 (define @t991 () (and @t599 @t592 @t588 @t576)) % 0.52/0.77 (define @t992 () (forall @t41 (not @t991))) % 0.52/0.77 (define @t993 () (not @t992)) % 0.52/0.77 (define @t994 () (@list @t571)) % 0.52/0.77 (define @t995 () (forall @t994 @t575)) % 0.52/0.77 (define @t996 () (forall @t994 @t572)) % 0.52/0.77 (define @t997 () (or @t574 @t996 @t570)) % 0.52/0.77 (define @t998 () (forall @t9 @t567)) % 0.52/0.77 (define @t999 () (or @t574 @t998 @t570)) % 0.52/0.77 (define @t1000 () (not @t998)) % 0.52/0.77 (define @t1001 () (and @t573 @t1000)) % 0.52/0.77 (define @t1002 () (not @t109)) % 0.52/0.77 (define @t1003 () (not @t110)) % 0.52/0.77 (define @t1004 () (or @t1003 @t1002 @t565 @t561)) % 0.52/0.77 (define @t1005 () (and @t110 @t109 @t564 @t560)) % 0.52/0.77 (define @t1006 () (forall @t112 (not @t1005))) % 0.52/0.77 (define @t1007 () (not @t1006)) % 0.52/0.77 (define @t1008 () (or @t554 @t553)) % 0.52/0.77 (define @t1009 () (or @t557 @t1008 @t555)) % 0.52/0.77 (define @t1010 () (forall @t559 @t1009)) % 0.52/0.77 (define @t1011 () (@list @t552)) % 0.52/0.77 (define @t1012 () (forall @t1011 @t1009)) % 0.52/0.77 (define @t1013 () (forall @t1011 @t1008)) % 0.52/0.77 (define @t1014 () (or @t557 @t1013 @t555)) % 0.52/0.77 (define @t1015 () (tptp.in @t19 @t93)) % 0.52/0.77 (define @t1016 () (forall @t70 (or (not @t1015) @t563))) % 0.52/0.77 (define @t1017 () (not @t100)) % 0.52/0.77 (define @t1018 () (or @t1017 @t1016 @t94)) % 0.52/0.77 (define @t1019 () (or @t1016 @t94)) % 0.52/0.77 (define @t1020 () (not @t97)) % 0.52/0.77 (define @t1021 () (or @t1020 @t96)) % 0.52/0.77 (define @t1022 () (not @t105)) % 0.52/0.77 (define @t1023 () (not @t96)) % 0.52/0.77 (define @t1024 () (or @t1023 @t1022)) % 0.52/0.77 (define @t1025 () (forall @t70 (not @t106))) % 0.52/0.77 (define @t1026 () (not @t1025)) % 0.52/0.77 (define @t1027 () (forall @t9 @t1002)) % 0.52/0.77 (define @t1028 () (not @t1027)) % 0.52/0.77 (define @t1029 () (or @t1002 @t7)) % 0.52/0.77 (define @t1030 () (or @t580 @t579)) % 0.52/0.77 (define @t1031 () (or @t583 @t582)) % 0.52/0.77 (define @t1032 () (or @t585 @t569 @t1031 @t1030)) % 0.52/0.77 (define @t1033 () (forall @t587 @t1032)) % 0.52/0.77 (define @t1034 () (forall (@list @t581 @t578) @t1032)) % 0.52/0.77 (define @t1035 () (forall (@list @t578) @t1030)) % 0.52/0.77 (define @t1036 () (forall (@list @t581) @t1031)) % 0.52/0.77 (define @t1037 () (or @t585 @t569 @t1036 @t1035)) % 0.52/0.77 (define @t1038 () (tptp.in @t4 @t95)) % 0.52/0.77 (define @t1039 () (forall @t9 (or (not @t1038) @t566))) % 0.52/0.77 (define @t1040 () (forall @t9 (or @t567 @t1038))) % 0.52/0.77 (define @t1041 () (not @t124)) % 0.52/0.77 (define @t1042 () (or @t1041 @t1003 @t1040 @t1039)) % 0.52/0.77 (define @t1043 () (or @t1040 @t1039)) % 0.52/0.77 (define @t1044 () (not @t120)) % 0.52/0.77 (define @t1045 () (or @t1044 @t109)) % 0.52/0.77 (define @t1046 () (or @t1002 @t120)) % 0.52/0.77 (define @t1047 () (or @t195 @t862 @t591 @t129)) % 0.52/0.77 (define @t1048 () (=> @t590 @t129)) % 0.52/0.77 (define @t1049 () (or @t1041 @t130)) % 0.52/0.77 (define @t1050 () (or @t596 @t595)) % 0.52/0.77 (define @t1051 () (or @t585 @t1050)) % 0.52/0.77 (define @t1052 () (forall @t598 @t1051)) % 0.52/0.77 (define @t1053 () (@list @t594)) % 0.52/0.77 (define @t1054 () (forall @t1053 @t1051)) % 0.52/0.77 (define @t1055 () (forall @t1053 @t1050)) % 0.52/0.77 (define @t1056 () (or @t585 @t1055)) % 0.52/0.77 (define @t1057 () (or @t1041 @t573)) % 0.52/0.77 (define @t1058 () (=> tptp.wellorderingAx @t990)) % 0.52/0.77 (define @t1059 () (@list @t607)) % 0.52/0.77 (define @t1060 () (forall @t1059 @t609)) % 0.52/0.77 (define @t1061 () (forall @t1059 @t608)) % 0.52/0.77 (define @t1062 () (or @t1061 @t606)) % 0.52/0.77 (define @t1063 () (or @t824 @t605)) % 0.52/0.77 (define @t1064 () (and @t39 @t604)) % 0.52/0.77 (define @t1065 () (forall @t41 (not @t1064))) % 0.52/0.77 (define @t1066 () (not @t1065)) % 0.52/0.77 (define @t1067 () (or @t825 @t195)) % 0.52/0.77 (define @t1068 () (forall @t9 (not @t84))) % 0.52/0.77 (define @t1069 () (not @t1068)) % 0.52/0.77 (define @t1070 () (=> tptp.foundationAx @t1058)) % 0.52/0.77 (define @t1071 () (= @t6 @t613)) % 0.52/0.77 (define @t1072 () (not @t68)) % 0.52/0.77 (define @t1073 () (or @t862 @t1072)) % 0.52/0.77 (define @t1074 () (forall @t70 (not @t69))) % 0.52/0.77 (define @t1075 () (not @t1074)) % 0.52/0.77 (define @t1076 () (or @t195 @t622)) % 0.52/0.77 (define @t1077 () (_ @t75 @t616)) % 0.52/0.77 (define @t1078 () (not @t1077)) % 0.52/0.77 (define @t1079 () (or @t1078 @t619)) % 0.52/0.77 (define @t1080 () (not @t76)) % 0.52/0.77 (define @t1081 () (or @t1080 @t617)) % 0.52/0.77 (define @t1082 () (_ @t77 @t19)) % 0.52/0.77 (define @t1083 () (not @t1082)) % 0.52/0.77 (define @t1084 () (or @t1083 @t617)) % 0.52/0.77 (define @t1085 () (forall @t70 @t1084)) % 0.52/0.77 (define @t1086 () (not @t1085)) % 0.52/0.77 (define @t1087 () (_ @t77 @t616)) % 0.52/0.77 (define @t1088 () (not @t1087)) % 0.52/0.77 (define @t1089 () (or @t1088 @t1086)) % 0.52/0.77 (define @t1090 () (forall @t621 @t1089)) % 0.52/0.77 (define @t1091 () (not @t1090)) % 0.52/0.77 (define @t1092 () (not (_ @t143 @t616))) % 0.52/0.77 (define @t1093 () (or @t451 (= @t616 @t19))) % 0.52/0.77 (define @t1094 () (forall @t70 @t1093)) % 0.52/0.77 (define @t1095 () (not @t1094)) % 0.52/0.77 (define @t1096 () (or @t1092 @t1095)) % 0.52/0.77 (define @t1097 () (forall @t621 @t1096)) % 0.52/0.77 (define @t1098 () (not @t1097)) % 0.52/0.77 (define @t1099 () (=> @t7 (_ @t803 @t77))) % 0.52/0.77 (define @t1100 () (forall @t9 @t1099)) % 0.52/0.77 (define @t1101 () (=> @t1100 @t74)) % 0.52/0.77 (define @t1102 () (forall @t81 @t1101)) % 0.52/0.77 (define @t1103 () (=> tptp.replAx @t1070)) % 0.52/0.77 (define @t1104 () (or @t628 @t627)) % 0.52/0.77 (define @t1105 () (or @t636 @t634 @t1104)) % 0.52/0.77 (define @t1106 () (forall @t638 @t1105)) % 0.52/0.77 (define @t1107 () (@list @t626)) % 0.52/0.77 (define @t1108 () (forall @t1107 @t1105)) % 0.52/0.77 (define @t1109 () (forall @t1107 @t1104)) % 0.52/0.77 (define @t1110 () (or @t636 @t634 @t1109)) % 0.52/0.77 (define @t1111 () (forall @t9 (or @t632 @t443))) % 0.52/0.77 (define @t1112 () (not @t61)) % 0.52/0.77 (define @t1113 () (or @t1112 @t634 @t1111)) % 0.52/0.77 (define @t1114 () (and @t61 @t633)) % 0.52/0.77 (define @t1115 () (not @t54)) % 0.52/0.77 (define @t1116 () (or @t1115 @t7)) % 0.52/0.77 (define @t1117 () (_ tptp.in @t629)) % 0.52/0.77 (define @t1118 () (or @t1115 @t195 @t58)) % 0.52/0.77 (define @t1119 () (=> tptp.omegaIndAx @t1103)) % 0.52/0.77 (define @t1120 () (or @t1115 @t53)) % 0.52/0.77 (define @t1121 () (=> tptp.omegaSAx @t1119)) % 0.52/0.77 (define @t1122 () (=> tptp.omega0Ax @t1121)) % 0.52/0.77 (define @t1123 () (= @t44 @t468)) % 0.52/0.77 (define @t1124 () (forall @t41 (not @t40))) % 0.52/0.77 (define @t1125 () (not @t1124)) % 0.52/0.77 (define @t1126 () (=> tptp.setunionAx @t1122)) % 0.52/0.77 (define @t1127 () (= @t35 @t482)) % 0.52/0.77 (define @t1128 () (=> tptp.powersetAx @t1126)) % 0.52/0.77 (define @t1129 () (= @t26 @t847)) % 0.52/0.77 (define @t1130 () (=> tptp.setadjoinAx @t1128)) % 0.52/0.77 (define @t1131 () (=> tptp.emptysetAx @t1130)) % 0.52/0.77 (define @t1132 () (=> tptp.setextAx @t1131)) % 0.52/0.77 (define @t1133 () (tptp.dsetconstr @t400 @t233)) % 0.52/0.77 (define @t1134 () (tptp.in tptp.emptyset @t1133)) % 0.52/0.77 (define @t1135 () (or @t753 @t1134)) % 0.52/0.77 (define @t1136 () (tptp.dsetconstr @t400 @t391)) % 0.52/0.77 (define @t1137 () (tptp.in tptp.emptyset @t1136)) % 0.52/0.77 (define @t1138 () (or @t818 @t818 @t1137)) % 0.52/0.77 (define @t1139 () (or @t818 @t1137)) % 0.52/0.77 (define @t1140 () (_ @t49 @t394)) % 0.52/0.77 (define @t1141 () (or @t818 @t1140)) % 0.52/0.77 (define @t1142 () (=> @t172 (_ @t49 @t955))) % 0.52/0.77 (define @t1143 () (forall @t178 @t1142)) % 0.52/0.77 (define @t1144 () (=> tptp.quantDeMorgan4 @t1143)) % 0.52/0.77 (define @t1145 () (=> tptp.quantDeMorgan3 @t1144)) % 0.52/0.77 (define @t1146 () (=> tptp.quantDeMorgan2 @t1145)) % 0.52/0.77 (define @t1147 () (=> tptp.quantDeMorgan1 @t1146)) % 0.52/0.77 (define @t1148 () (=> tptp.vacuousDall @t1147)) % 0.52/0.77 (define @t1149 () (=> tptp.emptyE1 @t1148)) % 0.52/0.77 (define @t1150 () (=> tptp.upairsetIR @t1149)) % 0.52/0.77 (define @t1151 () (=> tptp.upairsetIL @t1150)) % 0.52/0.77 (define @t1152 () (=> tptp.upairsetE @t1151)) % 0.52/0.77 (define @t1153 () (=> tptp.singletonsswitch @t1152)) % 0.52/0.77 (define @t1154 () (=> tptp.eqinunit @t1153)) % 0.52/0.77 (define @t1155 () (=> tptp.notinsingleton @t1154)) % 0.52/0.77 (define @t1156 () (=> tptp.uniqinunit @t1155)) % 0.52/0.77 (define @t1157 () (=> tptp.nonemptyImpWitness @t1156)) % 0.52/0.77 (define @t1158 () (=> tptp.exuE2 @t1157)) % 0.52/0.77 (define @t1159 () (=> tptp.subPowSU @t1158)) % 0.52/0.77 (define @t1160 () (=> tptp.setunionE @t1159)) % 0.52/0.77 (define @t1161 () (=> tptp.setunionI @t1160)) % 0.52/0.77 (define @t1162 () (=> tptp.powersetE @t1161)) % 0.52/0.77 (define @t1163 () (=> tptp.emptyInPowerset @t1162)) % 0.52/0.77 (define @t1164 () (=> tptp.emptyinPowerset @t1163)) % 0.52/0.77 (define @t1165 () (=> tptp.powersetI @t1164)) % 0.52/0.77 (define @t1166 () (=> tptp.setoftrueEq @t1165)) % 0.52/0.77 (define @t1167 () (=> tptp.setadjoinOr @t1166)) % 0.52/0.77 (define @t1168 () (=> tptp.setadjoinE @t1167)) % 0.52/0.77 (define @t1169 () (=> tptp.setadjoinIR @t1168)) % 0.52/0.77 (define @t1170 () (=> tptp.emptyinunitempty @t1169)) % 0.52/0.77 (define @t1171 () (=> tptp.setadjoinIL @t1170)) % 0.52/0.77 (define @t1172 () (=> tptp.nonemptyI1 @t1171)) % 0.52/0.77 (define @t1173 () (=> tptp.nonemptyI @t1172)) % 0.52/0.77 (define @t1174 () (=> tptp.nonemptyE1 @t1173)) % 0.52/0.77 (define @t1175 () (=> tptp.setbeta @t1174)) % 0.52/0.77 (define @t1176 () (=> tptp.noeltsimpempty @t1175)) % 0.52/0.77 (define @t1177 () (=> tptp.emptyI @t1176)) % 0.52/0.77 (define @t1178 () (=> tptp.setext @t1177)) % 0.52/0.77 (define @t1179 () (=> tptp.exuE3e @t1178)) % 0.52/0.77 (define @t1180 () (=> tptp.notinemptyset @t1179)) % 0.52/0.77 (define @t1181 () (=> tptp.emptysetimpfalse @t1180)) % 0.52/0.77 (define @t1182 () (=> tptp.emptysetE @t1181)) % 0.52/0.77 (define @t1183 () (=> tptp.prop2setE @t1182)) % 0.52/0.77 (define @t1184 () (=> tptp.exuE1 @t1183)) % 0.52/0.77 (define @t1185 () (=> tptp.dsetconstrER @t1184)) % 0.52/0.77 (define @t1186 () (=> tptp.dsetconstrEL @t1185)) % 0.52/0.77 (define @t1187 () (=> tptp.dsetconstrI @t1186)) % 0.52/0.77 (define @t1188 () (=> tptp.descrp @t1187)) % 0.52/0.77 (define @t1189 () (=> tptp.wellorderingAx @t1188)) % 0.52/0.77 (define @t1190 () (=> tptp.foundationAx @t1189)) % 0.52/0.77 (define @t1191 () (=> tptp.replAx @t1190)) % 0.52/0.77 (define @t1192 () (=> tptp.omegaIndAx @t1191)) % 0.52/0.77 (define @t1193 () (=> tptp.omegaSAx @t1192)) % 0.52/0.77 (define @t1194 () (=> tptp.omega0Ax @t1193)) % 0.52/0.77 (define @t1195 () (=> tptp.setunionAx @t1194)) % 0.52/0.77 (define @t1196 () (=> tptp.powersetAx @t1195)) % 0.52/0.77 (define @t1197 () (=> tptp.setadjoinAx @t1196)) % 0.52/0.77 (define @t1198 () (=> tptp.emptysetAx @t1197)) % 0.52/0.77 (define @t1199 () (=> tptp.setextAx @t1198)) % 0.52/0.77 (define @t1200 () (tptp.in tptp.emptyset (tptp.dsetconstr @t400 @t399))) % 0.52/0.77 (define @t1201 () (tptp.in tptp.emptyset @t400)) % 0.52/0.77 (define @t1202 () (not @t1201)) % 0.52/0.77 (define @t1203 () (or @t1202 @t1200)) % 0.52/0.77 (define @t1204 () (_ @t399 tptp.emptyset)) % 0.52/0.77 (define @t1205 () (not @t1204)) % 0.52/0.77 (define @t1206 () (or @t1202 @t1205 @t1200)) % 0.52/0.77 (assume @p1 @t14) % 0.52/0.77 (assume @p2 @t18) % 0.52/0.77 (assume @p3 @t30) % 0.52/0.77 (assume @p4 @t38) % 0.52/0.77 (assume @p5 @t48) % 0.52/0.77 (assume @p6 (= tptp.omega0Ax @t50)) % 0.52/0.77 (assume @p7 @t56) % 0.52/0.77 (assume @p8 @t66) % 0.52/0.77 (assume @p9 @t83) % 0.52/0.77 (assume @p10 @t92) % 0.52/0.77 (assume @p11 @t142) % 0.52/0.77 (assume @p12 @t152) % 0.52/0.77 (assume @p13 @t161) % 0.52/0.77 (assume @p14 @t163) % 0.52/0.77 (assume @p15 @t165) % 0.52/0.77 (assume @p16 @t171) % 0.52/0.77 (assume @p17 @t177) % 0.52/0.77 (assume @p18 @t182) % 0.52/0.77 (assume @p19 @t184) % 0.52/0.77 (assume @p20 (= tptp.notinemptyset @t17)) % 0.52/0.77 (assume @p21 @t188) % 0.52/0.77 (assume @p22 @t193) % 0.52/0.77 (assume @p23 @t199) % 0.52/0.77 (assume @p24 (= tptp.noeltsimpempty @t198)) % 0.52/0.77 (assume @p25 @t202) % 0.52/0.77 (assume @p26 @t206) % 0.52/0.77 (assume @p27 @t210) % 0.52/0.77 (assume @p28 @t213) % 0.52/0.77 (assume @p29 @t217) % 0.52/0.77 (assume @p30 (= tptp.emptyinunitempty @t219)) % 0.52/0.77 (assume @p31 @t221) % 0.52/0.77 (assume @p32 @t229) % 0.52/0.77 (assume @p33 @t232) % 0.52/0.77 (assume @p34 @t236) % 0.52/0.77 (assume @p35 @t239) % 0.52/0.77 (assume @p36 @t242) % 0.52/0.77 (assume @p37 (= tptp.emptyInPowerset @t241)) % 0.52/0.77 (assume @p38 @t245) % 0.52/0.77 (assume @p39 @t249) % 0.52/0.77 (assume @p40 @t256) % 0.52/0.77 (assume @p41 @t260) % 0.52/0.77 (assume @p42 @t266) % 0.52/0.77 (assume @p43 @t271) % 0.52/0.77 (assume @p44 @t275) % 0.52/0.77 (assume @p45 @t281) % 0.52/0.77 (assume @p46 @t283) % 0.52/0.77 (assume @p47 @t285) % 0.52/0.77 (assume @p48 @t294) % 0.52/0.77 (assume @p49 @t297) % 0.52/0.77 (assume @p50 @t300) % 0.52/0.77 (assume @p51 @t308) % 0.52/0.77 (assume @p52 @t311) % 0.52/0.77 (assume @p53 @t319) % 0.52/0.77 (assume @p54 @t324) % 0.52/0.77 (assume @p55 @t327) % 0.52/0.77 (assume @p56 @t330) % 0.52/0.77 (assume @p57 @t389) % 0.52/0.77 (assume @p58 true) % 0.52/0.77 (step @p59 (= tptp.exu @t390) :rule refl :args (@t390)) % 0.52/0.77 (step @p60 (= tptp.prop2set @t395) :rule refl :args (@t395)) % 0.52/0.77 (step @p61 (= tptp.nonempty @t396) :rule refl :args (@t396)) % 0.52/0.77 (step @p62 :rule eq-refl :args (@t398)) % 0.52/0.77 (step @p63 :rule refl :args (@t398)) % 0.52/0.77 (step @p64 :rule symm :premises (@p63)) % 0.52/0.77 (step @p65 :rule refl :args (@t398)) % 0.52/0.77 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t398 @t398))) % 0.52/0.77 (step @p67 :rule trans :premises (@p66 @p62)) % 0.52/0.77 (step @p68 :rule skolem_intro :args (@t399)) % 0.52/0.77 (step @p69 :rule cong :premises (@p65 @p68) :args ((= @t398 @t399))) % 0.52/0.77 (step @p70 :rule trans :premises (@p69 @p67)) % 0.52/0.77 (step @p71 :rule true_elim :premises (@p70)) % 0.52/0.77 (step @p72 :rule refl :args (@t400)) % 0.52/0.77 (step @p73 :rule cong :premises (@p72 @p71) :args (@t401)) % 0.52/0.77 (step @p74 :rule refl :args (tptp.emptyset)) % 0.52/0.77 (step @p75 :rule cong :premises (@p74 @p73) :args (@t402)) % 0.52/0.77 (step @p76 :rule refl :args (@t406)) % 0.52/0.77 (step @p77 :rule cong :premises (@p76 @p75) :args (@t407)) % 0.52/0.77 (step @p78 :rule refl :args (@t415)) % 0.52/0.77 (step @p79 :rule cong :premises (@p78 @p77) :args (@t416)) % 0.52/0.77 (step @p80 :rule refl :args (@t420)) % 0.52/0.77 (step @p81 :rule cong :premises (@p80 @p79) :args (@t421)) % 0.52/0.77 (step @p82 :rule refl :args (@t423)) % 0.52/0.77 (step @p83 :rule cong :premises 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(step @p100 :rule refl :args (@t470)) % 0.52/0.77 (step @p101 :rule cong :premises (@p100 @p99) :args (@t471)) % 0.52/0.77 (step @p102 :rule refl :args (@t472)) % 0.52/0.77 (step @p103 :rule cong :premises (@p102 @p101) :args (@t473)) % 0.52/0.77 (step @p104 :rule refl :args (@t476)) % 0.52/0.77 (step @p105 :rule cong :premises (@p104 @p103) :args (@t477)) % 0.52/0.77 (step @p106 :rule refl :args (@t479)) % 0.52/0.77 (step @p107 :rule cong :premises (@p106 @p105) :args (@t480)) % 0.52/0.77 (step @p108 :rule cong :premises (@p106 @p107) :args (@t481)) % 0.52/0.77 (step @p109 :rule refl :args (@t484)) % 0.52/0.77 (step @p110 :rule cong :premises (@p109 @p108) :args (@t485)) % 0.52/0.77 (step @p111 :rule refl :args (@t487)) % 0.52/0.77 (step @p112 :rule cong :premises (@p111 @p110) :args (@t488)) % 0.52/0.77 (step @p113 :rule refl :args (@t492)) % 0.52/0.77 (step @p114 :rule cong :premises (@p113 @p112) :args (@t493)) % 0.52/0.77 (step @p115 :rule cong :premises (@p113 @p114) :args 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:premises (@p2328)) % 0.52/0.78 (step @p2330 :rule not_implies_elim2 :premises (@p2329)) % 0.52/0.78 (step @p2331 :rule not_implies_elim2 :premises (@p2330)) % 0.52/0.78 (step @p2332 :rule not_implies_elim2 :premises (@p2331)) % 0.52/0.78 (step @p2333 :rule not_implies_elim2 :premises (@p2332)) % 0.52/0.78 (step @p2334 :rule not_implies_elim2 :premises (@p2333)) % 0.52/0.78 (step @p2335 :rule not_implies_elim2 :premises (@p2334)) % 0.52/0.78 (step @p2336 :rule not_implies_elim2 :premises (@p2335)) % 0.52/0.78 (step @p2337 :rule not_implies_elim2 :premises (@p2336)) % 0.52/0.78 (step @p2338 :rule not_implies_elim2 :premises (@p2337)) % 0.52/0.78 (step @p2339 :rule not_implies_elim2 :premises (@p2338)) % 0.52/0.78 (step @p2340 :rule not_implies_elim2 :premises (@p2339)) % 0.52/0.78 (step @p2341 :rule not_implies_elim2 :premises (@p2340)) % 0.52/0.78 (step @p2342 :rule not_implies_elim2 :premises (@p2341)) % 0.52/0.78 (step @p2343 :rule not_implies_elim2 :premises (@p2342)) % 0.52/0.78 (step @p2344 :rule not_implies_elim2 :premises (@p2343)) % 0.52/0.78 (step @p2345 :rule not_implies_elim2 :premises (@p2344)) % 0.52/0.78 (step @p2346 :rule not_implies_elim2 :premises (@p2345)) % 0.52/0.78 (step @p2347 :rule not_implies_elim2 :premises (@p2346)) % 0.52/0.78 (step @p2348 :rule not_implies_elim2 :premises (@p2347)) % 0.52/0.78 (step @p2349 :rule not_implies_elim2 :premises (@p2348)) % 0.52/0.78 (step @p2350 :rule not_implies_elim2 :premises (@p2349)) % 0.52/0.78 (step @p2351 :rule not_implies_elim2 :premises (@p2350)) % 0.52/0.78 (step @p2352 :rule not_implies_elim1 :premises (@p2312)) % 0.52/0.78 (step @p2353 :rule aci_norm :args ((= (or @t1202 false @t1200) @t1203))) % 0.52/0.78 (step @p2354 :rule refl :args (@t1200)) % 0.52/0.78 (step @p2355 :rule beta-reduce :args ((= (_ @t398 tptp.emptyset) true))) % 0.52/0.78 (step @p2356 :rule ho_cong :premises (@p68 @p74)) % 0.52/0.78 (step @p2357 :rule bool-eq-true :args (@t1204)) % 0.52/0.78 (step @p2358 :rule trans :premises (@p2357 @p2356 @p2355)) % 0.52/0.78 (step @p2359 :rule true_elim :premises (@p2358)) % 0.52/0.78 (step @p2360 :rule cong :premises (@p2359) :args (@t1205)) % 0.52/0.78 (step @p2361 :rule trans :premises (@p2360 @p556)) % 0.52/0.78 (step @p2362 :rule refl :args (@t1202)) % 0.52/0.78 (step @p2363 :rule nary_cong :premises (@p2362 @p2361 @p2354) :args (@t1206)) % 0.52/0.78 (step @p2364 :rule trans :premises (@p2363 @p2353)) % 0.52/0.78 (step @p2365 :rule cong :premises (@p163 @p2364) :args ((=> @t544 @t1206))) % 0.52/0.78 (assume-push @p2378 @t544) % 0.52/0.78 (step @p2367 :rule instantiate :premises (@p2352) :args ((@list @t400 @t399 tptp.emptyset))) % 0.52/0.78 (step-pop @p2379 :rule scope :premises (@p2367)) % 0.52/0.78 (step @p2368 :rule process_scope :premises (@p2379) :args (@t1206)) % 0.52/0.78 (step @p2370 :rule eq_resolve :premises (@p2368 @p2365)) % 0.52/0.78 (step @p2371 :rule implies_elim :premises (@p2370)) % 0.52/0.78 (step @p2372 :rule chain_m_resolution :premises (@p2371 @p2352) :args (@t1203 (@list false) (@list @t544))) % 0.52/0.78 (step @p2373 :rule not_implies_elim1 :premises (@p2334)) % 0.52/0.78 (step @p2374 :rule instantiate :premises (@p2373) :args ((@list tptp.emptyset))) % 0.52/0.78 (step @p2375 :rule cnf_or_pos :args (@t1203)) % 0.52/0.78 (step @p2376 :rule reordering :premises (@p2375) :args ((or @t1200 @t1202 (not @t1203)))) % 0.52/0.78 (step @p2377 false :rule chain_m_resolution :premises (@p2376 @p2374 @p2372 @p2351) :args (false (@list false false true) (@list @t1201 @t1203 @t1200))) % 0.52/0.78 ) % 0.52/0.78 % SZS output end Proof % 0.52/0.78 % cvc5 exiting %------------------------------------------------------------------------------