%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU565^1 : 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 : n024.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 08:52:13 AM UTC 2026 % Result : Theorem 0.34s 0.56s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU565^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 12:41:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.34 %----Proving TH0 % 0.34/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.56 % SZS status Theorem % 0.34/0.56 % SZS output start Proof % 0.34/0.56 ( % 0.34/0.56 (declare-sort $$unsorted 0) % 0.34/0.56 (declare-const tptp.emptyset $$unsorted) % 0.34/0.56 (declare-const tptp.emptysetsubset Bool) % 0.34/0.56 (declare-const tptp.subsetI2 Bool) % 0.34/0.56 (declare-const tptp.powerset__Cong Bool) % 0.34/0.56 (declare-const tptp.setadjoin__Cong Bool) % 0.34/0.56 (declare-const tptp.emptyset__Cong Bool) % 0.34/0.56 (declare-const tptp.exu__Cong Bool) % 0.34/0.56 (declare-const tptp.in__Cong Bool) % 0.34/0.56 (declare-const tptp.inCongP Bool) % 0.34/0.56 (declare-const tptp.exuI3 Bool) % 0.34/0.56 (declare-const tptp.subsetE Bool) % 0.34/0.56 (declare-const tptp.exuI1 Bool) % 0.34/0.56 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.subsetI1 Bool) % 0.34/0.56 (declare-const tptp.quantDeMorgan3 Bool) % 0.34/0.56 (declare-const tptp.quantDeMorgan2 Bool) % 0.34/0.56 (declare-const tptp.dsetconstr__Cong Bool) % 0.34/0.56 (declare-const tptp.quantDeMorgan1 Bool) % 0.34/0.56 (declare-const tptp.vacuousDall Bool) % 0.34/0.56 (declare-const tptp.emptyE1 Bool) % 0.34/0.56 (declare-const tptp.setunion__Cong Bool) % 0.34/0.56 (declare-const tptp.upairsetIR Bool) % 0.34/0.56 (declare-const tptp.emptysetE Bool) % 0.34/0.56 (declare-const tptp.omega__Cong Bool) % 0.34/0.56 (declare-const tptp.setadjoinIL Bool) % 0.34/0.56 (declare-const tptp.prop2setE Bool) % 0.34/0.56 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.34/0.56 (declare-const tptp.dsetconstrI Bool) % 0.34/0.56 (declare-const tptp.setext Bool) % 0.34/0.56 (declare-const tptp.nonemptyImpWitness Bool) % 0.34/0.56 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.34/0.56 (declare-const tptp.wellorderingAx Bool) % 0.34/0.56 (declare-const tptp.replAx Bool) % 0.34/0.56 (declare-const tptp.upairsetE Bool) % 0.34/0.56 (declare-const tptp.dsetconstrEL Bool) % 0.34/0.56 (declare-const tptp.prop2setI Bool) % 0.34/0.56 (declare-const tptp.emptyinPowerset Bool) % 0.34/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.setextAx Bool) % 0.34/0.56 (declare-const tptp.setadjoinOr Bool) % 0.34/0.56 (declare-const tptp.exuE3u Bool) % 0.34/0.56 (declare-const tptp.uniqinunit Bool) % 0.34/0.56 (declare-const tptp.foundationAx Bool) % 0.34/0.56 (declare-const tptp.emptysetimpfalse Bool) % 0.34/0.56 (declare-const tptp.notinemptyset Bool) % 0.34/0.56 (declare-const tptp.setadjoinIR Bool) % 0.34/0.56 (declare-const tptp.exuE2 Bool) % 0.34/0.56 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.notdallE Bool) % 0.34/0.56 (declare-const tptp.dsetconstrER Bool) % 0.34/0.56 (declare-const tptp.eqimpsubset1 Bool) % 0.34/0.56 (declare-const tptp.emptyInPowerset Bool) % 0.34/0.56 (declare-const tptp.exuEu Bool) % 0.34/0.56 (declare-const tptp.setadjoinAx Bool) % 0.34/0.56 (declare-const tptp.nonemptyE1 Bool) % 0.34/0.56 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.eqimpsubset2 Bool) % 0.34/0.56 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.34/0.56 (declare-const tptp.powersetAx Bool) % 0.34/0.56 (declare-const tptp.prop2set2propI Bool) % 0.34/0.56 (declare-const tptp.powersetE Bool) % 0.34/0.56 (declare-const tptp.omegaSAx Bool) % 0.34/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.descrp Bool) % 0.34/0.56 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.omega0Ax Bool) % 0.34/0.56 (declare-const tptp.setoftrueEq Bool) % 0.34/0.56 (declare-const tptp.setunionAx Bool) % 0.34/0.56 (declare-const tptp.omega $$unsorted) % 0.34/0.56 (declare-const tptp.omegaIndAx Bool) % 0.34/0.56 (declare-const tptp.quantDeMorgan4 Bool) % 0.34/0.56 (declare-const tptp.powersetI Bool) % 0.34/0.56 (declare-const tptp.exuE3e Bool) % 0.34/0.56 (declare-const tptp.emptyI Bool) % 0.34/0.56 (declare-const tptp.noeltsimpempty Bool) % 0.34/0.56 (declare-const tptp.eqinunit Bool) % 0.34/0.56 (declare-const tptp.upairsetIL Bool) % 0.34/0.56 (declare-const tptp.nonemptyI Bool) % 0.34/0.56 (declare-const tptp.emptysetAx Bool) % 0.34/0.56 (declare-const tptp.nonemptyI1 Bool) % 0.34/0.56 (declare-const tptp.descr__Cong Bool) % 0.34/0.56 (declare-const tptp.emptyinunitempty Bool) % 0.34/0.56 (declare-const tptp.setadjoinE Bool) % 0.34/0.56 (declare-const tptp.notdexE Bool) % 0.34/0.56 (declare-const tptp.setunionI Bool) % 0.34/0.56 (declare-const tptp.exuE1 Bool) % 0.34/0.56 (declare-const tptp.setunionE Bool) % 0.34/0.56 (declare-const tptp.exuI2 Bool) % 0.34/0.56 (declare-const tptp.subPowSU Bool) % 0.34/0.56 (declare-const tptp.notinsingleton Bool) % 0.34/0.56 (declare-const tptp.setbeta Bool) % 0.34/0.56 (declare-const tptp.singletonsswitch Bool) % 0.34/0.56 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.34/0.56 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.34/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.34/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.34/0.56 (define @t3 () (= @t2 @t1)) % 0.34/0.56 (define @t4 () (@var "Xx" $$unsorted)) % 0.34/0.56 (define @t5 () (_ tptp.in @t4)) % 0.34/0.56 (define @t6 () (_ @t5 @t1)) % 0.34/0.56 (define @t7 () (_ @t5 @t2)) % 0.34/0.56 (define @t8 () (= @t7 @t6)) % 0.34/0.56 (define @t9 () (@list @t4)) % 0.34/0.56 (define @t10 () (forall @t9 @t8)) % 0.34/0.56 (define @t11 () (=> @t10 @t3)) % 0.34/0.56 (define @t12 () (@list @t2 @t1)) % 0.34/0.56 (define @t13 () (forall @t12 @t11)) % 0.34/0.56 (define @t14 () (= tptp.setextAx @t13)) % 0.34/0.56 (define @t15 () (_ @t5 tptp.emptyset)) % 0.34/0.56 (define @t16 () (not @t15)) % 0.34/0.56 (define @t17 () (forall @t9 @t16)) % 0.34/0.56 (define @t18 () (= tptp.emptysetAx @t17)) % 0.34/0.56 (define @t19 () (@var "Xy" $$unsorted)) % 0.34/0.56 (define @t20 () (_ tptp.in @t19)) % 0.34/0.56 (define @t21 () (_ @t20 @t2)) % 0.34/0.56 (define @t22 () (= @t19 @t4)) % 0.34/0.56 (define @t23 () (or @t22 @t21)) % 0.34/0.56 (define @t24 () (_ tptp.setadjoin @t4)) % 0.34/0.56 (define @t25 () (_ @t24 @t2)) % 0.34/0.56 (define @t26 () (_ @t20 @t25)) % 0.34/0.56 (define @t27 () (= @t26 @t23)) % 0.34/0.56 (define @t28 () (@list @t4 @t2 @t19)) % 0.34/0.56 (define @t29 () (forall @t28 @t27)) % 0.34/0.56 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.34/0.56 (define @t31 () (=> @t6 @t7)) % 0.34/0.56 (define @t32 () (forall @t9 @t31)) % 0.34/0.56 (define @t33 () (_ tptp.powerset @t2)) % 0.34/0.56 (define @t34 () (_ tptp.in @t1)) % 0.34/0.56 (define @t35 () (_ @t34 @t33)) % 0.34/0.56 (define @t36 () (= @t35 @t32)) % 0.34/0.56 (define @t37 () (forall @t12 @t36)) % 0.34/0.56 (define @t38 () (= tptp.powersetAx @t37)) % 0.34/0.56 (define @t39 () (_ @t34 @t2)) % 0.34/0.56 (define @t40 () (and @t6 @t39)) % 0.34/0.56 (define @t41 () (@list @t1)) % 0.34/0.56 (define @t42 () (exists @t41 @t40)) % 0.34/0.56 (define @t43 () (_ tptp.setunion @t2)) % 0.34/0.56 (define @t44 () (_ @t5 @t43)) % 0.34/0.56 (define @t45 () (= @t44 @t42)) % 0.34/0.56 (define @t46 () (@list @t2 @t4)) % 0.34/0.56 (define @t47 () (forall @t46 @t45)) % 0.34/0.56 (define @t48 () (= tptp.setunionAx @t47)) % 0.34/0.56 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.34/0.56 (define @t50 () (_ @t49 tptp.omega)) % 0.34/0.56 (define @t51 () (_ @t24 @t4)) % 0.34/0.56 (define @t52 () (_ tptp.in @t51)) % 0.34/0.56 (define @t53 () (_ @t52 tptp.omega)) % 0.34/0.56 (define @t54 () (_ @t5 tptp.omega)) % 0.34/0.56 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.34/0.56 (define @t56 () (= tptp.omegaSAx @t55)) % 0.34/0.56 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.34/0.56 (define @t58 () (_ @t52 @t2)) % 0.34/0.56 (define @t59 () (and @t54 @t7)) % 0.34/0.56 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.34/0.56 (define @t61 () (_ @t49 @t2)) % 0.34/0.56 (define @t62 () (and @t61 @t60)) % 0.34/0.56 (define @t63 () (=> @t62 @t57)) % 0.34/0.56 (define @t64 () (@list @t2)) % 0.34/0.56 (define @t65 () (forall @t64 @t63)) % 0.34/0.56 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.34/0.56 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.34/0.56 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.34/0.56 (define @t69 () (and @t21 @t68)) % 0.34/0.56 (define @t70 () (@list @t19)) % 0.34/0.56 (define @t71 () (exists @t70 @t69)) % 0.34/0.56 (define @t72 () (= @t6 @t71)) % 0.34/0.56 (define @t73 () (forall @t9 @t72)) % 0.34/0.56 (define @t74 () (exists @t41 @t73)) % 0.34/0.56 (define @t75 () (_ @t67 @t4)) % 0.34/0.56 (define @t76 () (_ @t75 @t19)) % 0.34/0.56 (define @t77 () (lambda @t70 @t76)) % 0.34/0.56 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.34/0.56 (define @t79 () (forall @t9 @t78)) % 0.34/0.56 (define @t80 () (=> @t79 @t74)) % 0.34/0.56 (define @t81 () (@list @t67 @t2)) % 0.34/0.56 (define @t82 () (forall @t81 @t80)) % 0.34/0.56 (define @t83 () (= tptp.replAx @t82)) % 0.34/0.56 (define @t84 () (and @t6 @t7)) % 0.34/0.56 (define @t85 () (exists @t9 @t84)) % 0.34/0.56 (define @t86 () (not @t85)) % 0.34/0.56 (define @t87 () (and @t39 @t86)) % 0.34/0.56 (define @t88 () (exists @t41 @t87)) % 0.34/0.56 (define @t89 () (exists @t9 @t7)) % 0.34/0.56 (define @t90 () (=> @t89 @t88)) % 0.34/0.56 (define @t91 () (forall @t64 @t90)) % 0.34/0.56 (define @t92 () (= tptp.foundationAx @t91)) % 0.34/0.56 (define @t93 () (@var "E" $$unsorted)) % 0.34/0.56 (define @t94 () (_ @t5 @t93)) % 0.34/0.56 (define @t95 () (@var "D" $$unsorted)) % 0.34/0.56 (define @t96 () (_ @t20 @t95)) % 0.34/0.56 (define @t97 () (_ @t20 @t93)) % 0.34/0.56 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.34/0.56 (define @t99 () (or @t98 @t94)) % 0.34/0.56 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.34/0.56 (define @t101 () (=> @t100 @t99)) % 0.34/0.56 (define @t102 () (@list @t93)) % 0.34/0.56 (define @t103 () (forall @t102 @t101)) % 0.34/0.56 (define @t104 () (@var "C" $$unsorted)) % 0.34/0.56 (define @t105 () (_ @t20 @t104)) % 0.34/0.56 (define @t106 () (and @t96 @t105)) % 0.34/0.56 (define @t107 () (exists @t70 @t106)) % 0.34/0.56 (define @t108 () (not @t107)) % 0.34/0.56 (define @t109 () (_ @t5 @t104)) % 0.34/0.56 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.34/0.56 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.34/0.56 (define @t112 () (@list @t95 @t4)) % 0.34/0.56 (define @t113 () (exists @t112 @t111)) % 0.34/0.56 (define @t114 () (exists @t9 @t109)) % 0.34/0.56 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.34/0.56 (define @t116 () (and @t115 @t114)) % 0.34/0.56 (define @t117 () (=> @t116 @t113)) % 0.34/0.56 (define @t118 () (@list @t104)) % 0.34/0.56 (define @t119 () (forall @t118 @t117)) % 0.34/0.56 (define @t120 () (_ @t5 @t95)) % 0.34/0.56 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.34/0.56 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.34/0.56 (define @t123 () (or @t122 @t121)) % 0.34/0.56 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.34/0.56 (define @t125 () (and @t124 @t110)) % 0.34/0.56 (define @t126 () (=> @t125 @t123)) % 0.34/0.56 (define @t127 () (@list @t104 @t95)) % 0.34/0.56 (define @t128 () (forall @t127 @t126)) % 0.34/0.56 (define @t129 () (= @t4 @t19)) % 0.34/0.56 (define @t130 () (= @t109 @t105)) % 0.34/0.56 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.34/0.56 (define @t132 () (=> @t131 @t129)) % 0.34/0.56 (define @t133 () (and @t7 @t21)) % 0.34/0.56 (define @t134 () (=> @t133 @t132)) % 0.34/0.56 (define @t135 () (@list @t4 @t19)) % 0.34/0.56 (define @t136 () (forall @t135 @t134)) % 0.34/0.56 (define @t137 () (=> @t124 @t115)) % 0.34/0.56 (define @t138 () (forall @t118 @t137)) % 0.34/0.56 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.34/0.56 (define @t140 () (exists @t41 @t139)) % 0.34/0.56 (define @t141 () (forall @t64 @t140)) % 0.34/0.56 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.34/0.56 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.34/0.56 (define @t144 () (_ @t143 @t4)) % 0.34/0.56 (define @t145 () (lambda @t9 @t144)) % 0.34/0.56 (define @t146 () (_ tptp.descr @t145)) % 0.34/0.56 (define @t147 () (_ @t143 @t146)) % 0.34/0.56 (define @t148 () (_ tptp.exu @t145)) % 0.34/0.56 (define @t149 () (=> @t148 @t147)) % 0.34/0.56 (define @t150 () (@list @t143)) % 0.34/0.56 (define @t151 () (forall @t150 @t149)) % 0.34/0.56 (define @t152 () (= tptp.descrp @t151)) % 0.34/0.56 (define @t153 () (_ @t143 @t19)) % 0.34/0.56 (define @t154 () (lambda @t70 @t153)) % 0.34/0.56 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.34/0.56 (define @t156 () (_ @t155 @t154)) % 0.34/0.56 (define @t157 () (_ @t5 @t156)) % 0.34/0.56 (define @t158 () (=> @t144 @t157)) % 0.34/0.56 (define @t159 () (@list @t2 @t143 @t4)) % 0.34/0.56 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.34/0.56 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.34/0.56 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.34/0.56 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.34/0.56 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.34/0.56 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.34/0.56 (define @t166 () (=> @t153 @t129)) % 0.34/0.56 (define @t167 () (forall @t70 @t166)) % 0.34/0.56 (define @t168 () (and @t144 @t167)) % 0.34/0.56 (define @t169 () (exists @t9 @t168)) % 0.34/0.56 (define @t170 () (=> @t148 @t169)) % 0.34/0.56 (define @t171 () (forall @t150 @t170)) % 0.34/0.56 (define @t172 () (= tptp.exuE1 @t171)) % 0.34/0.56 (define @t173 () (@var "Xphi" Bool)) % 0.34/0.56 (define @t174 () (_ tptp.prop2set @t173)) % 0.34/0.56 (define @t175 () (_ @t5 @t174)) % 0.34/0.56 (define @t176 () (@list @t173 @t4)) % 0.34/0.56 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.34/0.56 (define @t178 () (= tptp.prop2setE @t177)) % 0.34/0.56 (define @t179 () (@list @t173)) % 0.34/0.56 (define @t180 () (forall @t179 @t173)) % 0.34/0.56 (define @t181 () (=> @t15 @t180)) % 0.34/0.56 (define @t182 () (forall @t9 @t181)) % 0.34/0.56 (define @t183 () (= tptp.emptysetE @t182)) % 0.34/0.56 (define @t184 () (forall @t9 (=> @t15 false))) % 0.34/0.56 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.34/0.56 (define @t186 () (exists @t9 @t144)) % 0.34/0.56 (define @t187 () (=> @t148 @t186)) % 0.34/0.56 (define @t188 () (forall @t150 @t187)) % 0.34/0.56 (define @t189 () (= tptp.exuE3e @t188)) % 0.34/0.56 (define @t190 () (=> @t32 @t3)) % 0.34/0.56 (define @t191 () (=> @t7 @t6)) % 0.34/0.56 (define @t192 () (forall @t9 @t191)) % 0.34/0.56 (define @t193 () (=> @t192 @t190)) % 0.34/0.56 (define @t194 () (forall @t12 @t193)) % 0.34/0.56 (define @t195 () (= tptp.setext @t194)) % 0.34/0.56 (define @t196 () (= @t2 tptp.emptyset)) % 0.34/0.56 (define @t197 () (not @t7)) % 0.34/0.56 (define @t198 () (forall @t9 @t197)) % 0.34/0.56 (define @t199 () (=> @t198 @t196)) % 0.34/0.56 (define @t200 () (forall @t64 @t199)) % 0.34/0.56 (define @t201 () (= tptp.emptyI @t200)) % 0.34/0.56 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.34/0.56 (define @t203 () (forall @t159 @t202)) % 0.34/0.56 (define @t204 () (= tptp.setbeta @t203)) % 0.34/0.56 (define @t205 () (_ tptp.nonempty @t2)) % 0.34/0.56 (define @t206 () (=> @t205 @t89)) % 0.34/0.56 (define @t207 () (forall @t64 @t206)) % 0.34/0.56 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.34/0.56 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.34/0.56 (define @t210 () (=> @t7 @t209)) % 0.34/0.56 (define @t211 () (forall @t159 @t210)) % 0.34/0.56 (define @t212 () (= tptp.nonemptyI @t211)) % 0.34/0.56 (define @t213 () (=> @t89 @t205)) % 0.34/0.56 (define @t214 () (forall @t64 @t213)) % 0.34/0.56 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.34/0.56 (define @t216 () (_ @t24 @t19)) % 0.34/0.56 (define @t217 () (_ @t5 @t216)) % 0.34/0.56 (define @t218 () (forall @t135 @t217)) % 0.34/0.56 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.34/0.56 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.34/0.56 (define @t221 () (_ @t49 @t220)) % 0.34/0.56 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.34/0.56 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.34/0.56 (define @t224 () (=> @t21 @t173)) % 0.34/0.56 (define @t225 () (=> @t224 @t173)) % 0.34/0.56 (define @t226 () (=> @t22 @t173)) % 0.34/0.56 (define @t227 () (=> @t226 @t225)) % 0.34/0.56 (define @t228 () (forall @t179 @t227)) % 0.34/0.56 (define @t229 () (=> @t26 @t228)) % 0.34/0.56 (define @t230 () (forall @t28 @t229)) % 0.34/0.56 (define @t231 () (= tptp.setadjoinE @t230)) % 0.34/0.56 (define @t232 () (=> @t26 @t23)) % 0.34/0.56 (define @t233 () (forall @t28 @t232)) % 0.34/0.56 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.34/0.56 (define @t235 () (lambda @t9 true)) % 0.34/0.56 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.34/0.56 (define @t237 () (forall @t64 @t236)) % 0.34/0.56 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.34/0.56 (define @t239 () (=> @t32 @t35)) % 0.34/0.56 (define @t240 () (forall @t12 @t239)) % 0.34/0.56 (define @t241 () (= tptp.powersetI @t240)) % 0.34/0.56 (define @t242 () (_ @t49 @t33)) % 0.34/0.56 (define @t243 () (forall @t64 @t242)) % 0.34/0.56 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.34/0.56 (define @t245 () (@list @t2 @t1 @t4)) % 0.34/0.56 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.34/0.56 (define @t247 () (= tptp.powersetE @t246)) % 0.34/0.56 (define @t248 () (=> @t39 @t44)) % 0.34/0.56 (define @t249 () (@list @t2 @t4 @t1)) % 0.34/0.56 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.34/0.56 (define @t251 () (= tptp.setunionI @t250)) % 0.34/0.56 (define @t252 () (=> @t39 @t173)) % 0.34/0.56 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.34/0.56 (define @t254 () (=> @t253 @t173)) % 0.34/0.56 (define @t255 () (forall @t179 @t254)) % 0.34/0.56 (define @t256 () (=> @t44 @t255)) % 0.34/0.56 (define @t257 () (forall @t46 @t256)) % 0.34/0.56 (define @t258 () (= tptp.setunionE @t257)) % 0.34/0.56 (define @t259 () (_ tptp.powerset @t43)) % 0.34/0.56 (define @t260 () (_ @t5 @t259)) % 0.34/0.56 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.34/0.56 (define @t262 () (= tptp.subPowSU @t261)) % 0.34/0.56 (define @t263 () (= @t153 @t22)) % 0.34/0.56 (define @t264 () (forall @t70 @t263)) % 0.34/0.56 (define @t265 () (exists @t9 @t264)) % 0.34/0.56 (define @t266 () (=> @t148 @t265)) % 0.34/0.56 (define @t267 () (forall @t150 @t266)) % 0.34/0.56 (define @t268 () (= tptp.exuE2 @t267)) % 0.34/0.56 (define @t269 () (and @t7 true)) % 0.34/0.56 (define @t270 () (exists @t9 @t269)) % 0.34/0.56 (define @t271 () (=> @t205 @t270)) % 0.34/0.56 (define @t272 () (forall @t64 @t271)) % 0.34/0.56 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.34/0.56 (define @t274 () (_ tptp.setadjoin @t19)) % 0.34/0.56 (define @t275 () (_ @t274 tptp.emptyset)) % 0.34/0.56 (define @t276 () (_ @t5 @t275)) % 0.34/0.56 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.34/0.56 (define @t278 () (= tptp.uniqinunit @t277)) % 0.34/0.56 (define @t279 () (_ @t24 tptp.emptyset)) % 0.34/0.56 (define @t280 () (_ @t20 @t279)) % 0.34/0.56 (define @t281 () (not @t280)) % 0.34/0.56 (define @t282 () (not @t129)) % 0.34/0.56 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.34/0.56 (define @t284 () (= tptp.notinsingleton @t283)) % 0.34/0.56 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.34/0.56 (define @t286 () (= tptp.eqinunit @t285)) % 0.34/0.56 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.34/0.56 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.34/0.56 (define @t289 () (@var "Xz" $$unsorted)) % 0.34/0.56 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.34/0.56 (define @t291 () (_ @t24 @t275)) % 0.34/0.56 (define @t292 () (_ tptp.in @t289)) % 0.34/0.56 (define @t293 () (_ @t292 @t291)) % 0.34/0.56 (define @t294 () (=> @t293 @t290)) % 0.34/0.56 (define @t295 () (@list @t4 @t19 @t289)) % 0.34/0.56 (define @t296 () (forall @t295 @t294)) % 0.34/0.56 (define @t297 () (= tptp.upairsetE @t296)) % 0.34/0.56 (define @t298 () (_ @t5 @t291)) % 0.34/0.56 (define @t299 () (forall @t135 @t298)) % 0.34/0.56 (define @t300 () (= tptp.upairsetIL @t299)) % 0.34/0.56 (define @t301 () (_ @t20 @t291)) % 0.34/0.56 (define @t302 () (forall @t135 @t301)) % 0.34/0.56 (define @t303 () (= tptp.upairsetIR @t302)) % 0.34/0.56 (define @t304 () (_ @t155 @t145)) % 0.34/0.56 (define @t305 () (= @t304 tptp.emptyset)) % 0.34/0.56 (define @t306 () (and @t7 @t144)) % 0.34/0.56 (define @t307 () (exists @t9 @t306)) % 0.34/0.56 (define @t308 () (=> @t307 (=> @t305 false))) % 0.34/0.56 (define @t309 () (@list @t2 @t143)) % 0.34/0.56 (define @t310 () (forall @t309 @t308)) % 0.34/0.56 (define @t311 () (= tptp.emptyE1 @t310)) % 0.34/0.56 (define @t312 () (@list @t143 @t4)) % 0.34/0.56 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.34/0.56 (define @t314 () (= tptp.vacuousDall @t313)) % 0.34/0.56 (define @t315 () (not @t144)) % 0.34/0.56 (define @t316 () (and @t7 @t315)) % 0.34/0.56 (define @t317 () (exists @t9 @t316)) % 0.34/0.56 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.34/0.56 (define @t319 () (not @t318)) % 0.34/0.56 (define @t320 () (=> @t319 @t317)) % 0.34/0.56 (define @t321 () (forall @t309 @t320)) % 0.34/0.56 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.34/0.56 (define @t323 () (not @t307)) % 0.34/0.56 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.34/0.56 (define @t325 () (=> @t324 @t323)) % 0.34/0.56 (define @t326 () (forall @t309 @t325)) % 0.34/0.56 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.34/0.56 (define @t328 () (=> @t323 @t324)) % 0.34/0.56 (define @t329 () (forall @t309 @t328)) % 0.34/0.56 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.34/0.56 (define @t331 () (=> @t317 @t319)) % 0.34/0.56 (define @t332 () (forall @t309 @t331)) % 0.34/0.56 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.34/0.56 (define @t334 () (_ @t49 @t174)) % 0.34/0.56 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.34/0.56 (define @t336 () (= tptp.prop2setI @t335)) % 0.34/0.56 (define @t337 () (_ tptp.set2prop @t174)) % 0.34/0.56 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.34/0.56 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.34/0.56 (define @t340 () (=> @t169 @t148)) % 0.34/0.56 (define @t341 () (forall @t150 @t340)) % 0.34/0.56 (define @t342 () (= tptp.exuI1 @t341)) % 0.34/0.56 (define @t343 () (forall @t135 (=> @t144 @t166))) % 0.34/0.56 (define @t344 () (=> @t343 @t148)) % 0.34/0.56 (define @t345 () (=> @t186 @t344)) % 0.34/0.56 (define @t346 () (forall @t150 @t345)) % 0.34/0.56 (define @t347 () (= tptp.exuI3 @t346)) % 0.34/0.56 (define @t348 () (=> @t265 @t148)) % 0.34/0.56 (define @t349 () (forall @t150 @t348)) % 0.34/0.56 (define @t350 () (= tptp.exuI2 @t349)) % 0.34/0.56 (define @t351 () (_ @t20 @t1)) % 0.34/0.56 (define @t352 () (=> @t7 @t351)) % 0.34/0.56 (define @t353 () (forall @t135 (=> @t129 @t352))) % 0.34/0.56 (define @t354 () (=> @t3 @t353)) % 0.34/0.56 (define @t355 () (forall @t12 @t354)) % 0.34/0.56 (define @t356 () (= tptp.inCongP @t355)) % 0.34/0.56 (define @t357 () (= @t7 @t351)) % 0.34/0.56 (define @t358 () (forall @t135 (=> @t129 @t357))) % 0.34/0.56 (define @t359 () (=> @t3 @t358)) % 0.34/0.56 (define @t360 () (forall @t12 @t359)) % 0.34/0.56 (define @t361 () (= tptp.in__Cong @t360)) % 0.34/0.56 (define @t362 () (=> @t148 @t343)) % 0.34/0.56 (define @t363 () (forall @t150 @t362)) % 0.34/0.56 (define @t364 () (= tptp.exuE3u @t363)) % 0.34/0.56 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.34/0.56 (define @t366 () (_ @t365 @t4)) % 0.34/0.56 (define @t367 () (lambda @t9 @t366)) % 0.34/0.56 (define @t368 () (_ tptp.exu @t367)) % 0.34/0.56 (define @t369 () (= @t148 @t368)) % 0.34/0.56 (define @t370 () (_ @t365 @t19)) % 0.34/0.56 (define @t371 () (= @t144 @t370)) % 0.34/0.56 (define @t372 () (=> @t129 @t371)) % 0.34/0.56 (define @t373 () (forall @t135 @t372)) % 0.34/0.56 (define @t374 () (=> @t373 @t369)) % 0.34/0.56 (define @t375 () (@list @t143 @t365)) % 0.34/0.56 (define @t376 () (forall @t375 @t374)) % 0.34/0.56 (define @t377 () (= tptp.exu__Cong @t376)) % 0.34/0.56 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 0.34/0.56 (define @t379 () (= tptp.emptyset__Cong @t378)) % 0.34/0.56 (define @t380 () (@var "Xu" $$unsorted)) % 0.34/0.56 (define @t381 () (_ @t274 @t380)) % 0.34/0.56 (define @t382 () (_ @t24 @t289)) % 0.34/0.56 (define @t383 () (= @t382 @t381)) % 0.34/0.56 (define @t384 () (= @t289 @t380)) % 0.34/0.56 (define @t385 () (@list @t289 @t380)) % 0.34/0.56 (define @t386 () (forall @t385 (=> @t384 @t383))) % 0.34/0.56 (define @t387 () (=> @t129 @t386)) % 0.34/0.56 (define @t388 () (forall @t135 @t387)) % 0.34/0.56 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 0.34/0.56 (define @t390 () (_ tptp.powerset @t1)) % 0.34/0.56 (define @t391 () (= @t33 @t390)) % 0.34/0.56 (define @t392 () (forall @t12 (=> @t3 @t391))) % 0.34/0.56 (define @t393 () (= tptp.powerset__Cong @t392)) % 0.34/0.56 (define @t394 () (_ tptp.setunion @t1)) % 0.34/0.56 (define @t395 () (= @t43 @t394)) % 0.34/0.56 (define @t396 () (forall @t12 (=> @t3 @t395))) % 0.34/0.56 (define @t397 () (= tptp.setunion__Cong @t396)) % 0.34/0.56 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.34/0.56 (define @t399 () (= tptp.exuEu @t363)) % 0.34/0.56 (define @t400 () (_ tptp.descr @t367)) % 0.34/0.56 (define @t401 () (= @t146 @t400)) % 0.34/0.56 (define @t402 () (=> @t368 @t401)) % 0.34/0.56 (define @t403 () (=> @t148 @t402)) % 0.34/0.56 (define @t404 () (=> @t373 @t403)) % 0.34/0.56 (define @t405 () (forall @t375 @t404)) % 0.34/0.56 (define @t406 () (= tptp.descr__Cong @t405)) % 0.34/0.56 (define @t407 () (_ tptp.dsetconstr @t1)) % 0.34/0.56 (define @t408 () (_ @t407 @t367)) % 0.34/0.56 (define @t409 () (= @t304 @t408)) % 0.34/0.56 (define @t410 () (forall @t70 (=> @t351 @t372))) % 0.34/0.56 (define @t411 () (=> @t7 @t410)) % 0.34/0.56 (define @t412 () (forall @t9 @t411)) % 0.34/0.56 (define @t413 () (=> @t412 @t409)) % 0.34/0.56 (define @t414 () (forall @t375 @t413)) % 0.34/0.56 (define @t415 () (=> @t3 @t414)) % 0.34/0.56 (define @t416 () (forall @t12 @t415)) % 0.34/0.56 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 0.34/0.56 (define @t418 () (_ (_ tptp.subset @t2) @t1)) % 0.34/0.56 (define @t419 () (=> @t192 @t418)) % 0.34/0.56 (define @t420 () (forall @t12 @t419)) % 0.34/0.56 (define @t421 () (= tptp.subsetI1 @t420)) % 0.34/0.56 (define @t422 () (_ (_ tptp.subset @t1) @t2)) % 0.34/0.56 (define @t423 () (forall @t12 (=> @t3 @t422))) % 0.34/0.56 (define @t424 () (= tptp.eqimpsubset2 @t423)) % 0.34/0.56 (define @t425 () (forall @t12 (=> @t3 @t418))) % 0.34/0.56 (define @t426 () (= tptp.eqimpsubset1 @t425)) % 0.34/0.56 (define @t427 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.34/0.56 (define @t428 () (forall @t64 @t427)) % 0.34/0.56 (define @t429 () (= tptp.emptysetsubset @t428)) % 0.34/0.56 (define @t430 () (forall @t245 (=> @t418 @t191))) % 0.34/0.56 (define @t431 () (= tptp.subsetE @t430)) % 0.34/0.56 (define @t432 () (not @t6)) % 0.34/0.56 (define @t433 () (=> @t432 @t197)) % 0.34/0.56 (define @t434 () (forall @t245 (=> @t418 @t433))) % 0.34/0.56 (define @t435 () (=> tptp.subsetE @t434)) % 0.34/0.56 (define @t436 () (=> tptp.emptysetsubset @t435)) % 0.34/0.56 (define @t437 () (=> tptp.subsetI2 @t436)) % 0.34/0.56 (define @t438 () (=> tptp.eqimpsubset1 @t437)) % 0.34/0.56 (define @t439 () (=> tptp.eqimpsubset2 @t438)) % 0.34/0.56 (define @t440 () (=> tptp.subsetI1 @t439)) % 0.34/0.56 (define @t441 () (=> tptp.dsetconstr__Cong @t440)) % 0.34/0.56 (define @t442 () (=> tptp.descr__Cong @t441)) % 0.34/0.56 (define @t443 () (=> tptp.exuEu @t442)) % 0.34/0.56 (define @t444 () (=> tptp.omega__Cong @t443)) % 0.34/0.56 (define @t445 () (=> tptp.setunion__Cong @t444)) % 0.34/0.56 (define @t446 () (=> tptp.powerset__Cong @t445)) % 0.34/0.56 (define @t447 () (=> tptp.setadjoin__Cong @t446)) % 0.34/0.56 (define @t448 () (=> tptp.emptyset__Cong @t447)) % 0.34/0.56 (define @t449 () (=> tptp.exu__Cong @t448)) % 0.34/0.56 (define @t450 () (=> tptp.exuE3u @t449)) % 0.34/0.56 (define @t451 () (=> tptp.in__Cong @t450)) % 0.34/0.56 (define @t452 () (=> tptp.inCongP @t451)) % 0.34/0.56 (define @t453 () (=> tptp.exuI2 @t452)) % 0.34/0.56 (define @t454 () (=> tptp.exuI3 @t453)) % 0.34/0.56 (define @t455 () (=> tptp.exuI1 @t454)) % 0.34/0.56 (define @t456 () (=> tptp.notdallE @t455)) % 0.34/0.56 (define @t457 () (=> tptp.notdexE @t456)) % 0.34/0.56 (define @t458 () (=> tptp.prop2set2propI @t457)) % 0.34/0.56 (define @t459 () (=> tptp.prop2setI @t458)) % 0.34/0.56 (define @t460 () (=> tptp.quantDeMorgan4 @t459)) % 0.34/0.56 (define @t461 () (=> tptp.quantDeMorgan3 @t460)) % 0.34/0.56 (define @t462 () (=> tptp.quantDeMorgan2 @t461)) % 0.34/0.56 (define @t463 () (=> tptp.quantDeMorgan1 @t462)) % 0.34/0.56 (define @t464 () (=> tptp.vacuousDall @t463)) % 0.34/0.56 (define @t465 () (=> tptp.emptyE1 @t464)) % 0.34/0.56 (define @t466 () (=> tptp.upairsetIR @t465)) % 0.34/0.56 (define @t467 () (=> tptp.upairsetIL @t466)) % 0.34/0.56 (define @t468 () (=> tptp.upairsetE @t467)) % 0.34/0.56 (define @t469 () (=> tptp.singletonsswitch @t468)) % 0.34/0.56 (define @t470 () (=> tptp.eqinunit @t469)) % 0.34/0.56 (define @t471 () (=> tptp.notinsingleton @t470)) % 0.34/0.56 (define @t472 () (=> tptp.uniqinunit @t471)) % 0.34/0.56 (define @t473 () (=> tptp.nonemptyImpWitness @t472)) % 0.34/0.56 (define @t474 () (=> tptp.exuE2 @t473)) % 0.34/0.56 (define @t475 () (=> tptp.subPowSU @t474)) % 0.34/0.56 (define @t476 () (=> tptp.setunionE @t475)) % 0.34/0.56 (define @t477 () (=> tptp.setunionI @t476)) % 0.34/0.56 (define @t478 () (=> tptp.powersetE @t477)) % 0.34/0.56 (define @t479 () (=> tptp.emptyInPowerset @t478)) % 0.34/0.56 (define @t480 () (=> tptp.emptyinPowerset @t479)) % 0.34/0.56 (define @t481 () (=> tptp.powersetI @t480)) % 0.34/0.56 (define @t482 () (=> tptp.setoftrueEq @t481)) % 0.34/0.56 (define @t483 () (=> tptp.setadjoinOr @t482)) % 0.34/0.56 (define @t484 () (=> tptp.setadjoinE @t483)) % 0.34/0.56 (define @t485 () (=> tptp.setadjoinIR @t484)) % 0.34/0.56 (define @t486 () (=> tptp.emptyinunitempty @t485)) % 0.34/0.56 (define @t487 () (=> tptp.setadjoinIL @t486)) % 0.34/0.56 (define @t488 () (=> tptp.nonemptyI1 @t487)) % 0.34/0.56 (define @t489 () (=> tptp.nonemptyI @t488)) % 0.34/0.56 (define @t490 () (=> tptp.nonemptyE1 @t489)) % 0.34/0.56 (define @t491 () (=> tptp.setbeta @t490)) % 0.34/0.56 (define @t492 () (=> tptp.noeltsimpempty @t491)) % 0.34/0.56 (define @t493 () (=> tptp.emptyI @t492)) % 0.34/0.56 (define @t494 () (=> tptp.setext @t493)) % 0.34/0.56 (define @t495 () (=> tptp.exuE3e @t494)) % 0.34/0.56 (define @t496 () (=> tptp.notinemptyset @t495)) % 0.34/0.56 (define @t497 () (=> tptp.emptysetimpfalse @t496)) % 0.34/0.56 (define @t498 () (=> tptp.emptysetE @t497)) % 0.34/0.56 (define @t499 () (=> tptp.prop2setE @t498)) % 0.34/0.56 (define @t500 () (=> tptp.exuE1 @t499)) % 0.34/0.56 (define @t501 () (=> tptp.dsetconstrER @t500)) % 0.34/0.56 (define @t502 () (=> tptp.dsetconstrEL @t501)) % 0.34/0.56 (define @t503 () (=> tptp.dsetconstrI @t502)) % 0.34/0.56 (define @t504 () (=> tptp.descrp @t503)) % 0.34/0.56 (define @t505 () (=> tptp.wellorderingAx @t504)) % 0.34/0.56 (define @t506 () (=> tptp.foundationAx @t505)) % 0.34/0.56 (define @t507 () (=> tptp.replAx @t506)) % 0.34/0.56 (define @t508 () (=> tptp.omegaIndAx @t507)) % 0.34/0.56 (define @t509 () (=> tptp.omegaSAx @t508)) % 0.34/0.56 (define @t510 () (=> tptp.omega0Ax @t509)) % 0.34/0.56 (define @t511 () (=> tptp.setunionAx @t510)) % 0.34/0.56 (define @t512 () (=> tptp.powersetAx @t511)) % 0.34/0.56 (define @t513 () (=> tptp.setadjoinAx @t512)) % 0.34/0.56 (define @t514 () (=> tptp.emptysetAx @t513)) % 0.34/0.56 (define @t515 () (=> tptp.setextAx @t514)) % 0.34/0.56 (define @t516 () (not @t515)) % 0.34/0.56 (define @t517 () (lambda @t150 @t169)) % 0.34/0.56 (define @t518 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.34/0.56 (define @t519 () (tptp.in @t4 @t2)) % 0.34/0.56 (define @t520 () (not @t519)) % 0.34/0.56 (define @t521 () (tptp.in @t4 @t1)) % 0.34/0.56 (define @t522 () (tptp.subset @t2 @t1)) % 0.34/0.56 (define @t523 () (not @t522)) % 0.34/0.56 (define @t524 () (or @t523 @t521 @t520)) % 0.34/0.56 (define @t525 () (forall @t245 @t524)) % 0.34/0.56 (define @t526 () (or @t523 @t520 @t521)) % 0.34/0.56 (define @t527 () (forall @t245 @t526)) % 0.34/0.56 (define @t528 () (tptp.subset tptp.emptyset @t2)) % 0.34/0.56 (define @t529 () (forall @t9 (or @t520 @t521))) % 0.34/0.56 (define @t530 () (not @t529)) % 0.34/0.56 (define @t531 () (forall @t12 (or @t530 @t522))) % 0.34/0.56 (define @t532 () (tptp.subset @t1 @t1)) % 0.34/0.56 (define @t533 () (forall @t41 @t532)) % 0.34/0.56 (define @t534 () (@var "BOUND_VARIABLE_9489" (-> $$unsorted Bool))) % 0.34/0.56 (define @t535 () (tptp.dsetconstr @t1 @t534)) % 0.34/0.56 (define @t536 () (@var "BOUND_VARIABLE_9491" (-> $$unsorted Bool))) % 0.34/0.56 (define @t537 () (tptp.dsetconstr @t1 @t536)) % 0.34/0.56 (define @t538 () (= @t537 @t535)) % 0.34/0.56 (define @t539 () (= (_ @t534 @t4) (_ @t536 @t4))) % 0.34/0.56 (define @t540 () (not @t521)) % 0.34/0.56 (define @t541 () (or @t540 @t539)) % 0.34/0.56 (define @t542 () (not (forall @t9 @t541))) % 0.34/0.56 (define @t543 () (or @t542 @t538)) % 0.34/0.56 (define @t544 () (@list @t1 @t534 @t536)) % 0.34/0.56 (define @t545 () (@var "BOUND_VARIABLE_9428" $$unsorted)) % 0.34/0.56 (define @t546 () (_ @t365 @t19)) % 0.34/0.56 (define @t547 () (not @t546)) % 0.34/0.56 (define @t548 () (not (_ @t365 @t545))) % 0.34/0.56 (define @t549 () (@var "BOUND_VARIABLE_9419" $$unsorted)) % 0.34/0.56 (define @t550 () (_ @t143 @t19)) % 0.34/0.56 (define @t551 () (not @t550)) % 0.34/0.56 (define @t552 () (not (_ @t143 @t549))) % 0.34/0.56 (define @t553 () (tptp.descr @t143)) % 0.34/0.56 (define @t554 () (= @t553 (tptp.descr @t365))) % 0.34/0.56 (define @t555 () (= @t550 @t546)) % 0.34/0.56 (define @t556 () (forall @t70 @t555)) % 0.34/0.56 (define @t557 () (not @t556)) % 0.34/0.56 (define @t558 () (@list @t143 @t365 @t549 @t545)) % 0.34/0.56 (define @t559 () (@var "BOUND_VARIABLE_9260" $$unsorted)) % 0.34/0.56 (define @t560 () (@var "BOUND_VARIABLE_9258" $$unsorted)) % 0.34/0.56 (define @t561 () (= @t560 @t559)) % 0.34/0.56 (define @t562 () (not (_ @t143 @t559))) % 0.34/0.56 (define @t563 () (not (_ @t143 @t560))) % 0.34/0.56 (define @t564 () (@var "BOUND_VARIABLE_9249" $$unsorted)) % 0.34/0.56 (define @t565 () (not (_ @t143 @t564))) % 0.34/0.56 (define @t566 () (@list @t143 @t564 @t560 @t559)) % 0.34/0.56 (define @t567 () (forall @t566 (or @t565 (not (forall @t70 (or @t551 (= @t19 @t564)))) @t563 @t562 @t561))) % 0.34/0.56 (define @t568 () (=> @t567 (=> (forall @t558 (or @t557 @t554 @t552 (not (forall @t70 (or @t551 (= @t19 @t549)))) @t548 (not (forall @t70 (or @t547 (= @t19 @t545)))))) (=> (forall @t544 @t543) (=> @t531 (=> @t533 (=> @t533 (=> @t531 (=> (forall @t64 @t528) (=> @t527 @t525)))))))))) % 0.34/0.56 (define @t569 () (not (forall @t70 (or @t547 @t129)))) % 0.34/0.56 (define @t570 () (_ @t365 @t4)) % 0.34/0.56 (define @t571 () (forall @t9 (or (not @t570) @t569))) % 0.34/0.56 (define @t572 () (not @t571)) % 0.34/0.56 (define @t573 () (forall @t70 (or @t551 @t129))) % 0.34/0.56 (define @t574 () (not @t573)) % 0.34/0.56 (define @t575 () (_ @t143 @t4)) % 0.34/0.56 (define @t576 () (not @t575)) % 0.34/0.56 (define @t577 () (forall @t9 (or @t576 @t574))) % 0.34/0.56 (define @t578 () (not @t577)) % 0.34/0.56 (define @t579 () (= @t578 @t572)) % 0.34/0.56 (define @t580 () (forall @t375 (or @t557 @t579))) % 0.34/0.56 (define @t581 () (@var "BOUND_VARIABLE_9155" $$unsorted)) % 0.34/0.56 (define @t582 () (@list @t143 @t581)) % 0.34/0.56 (define @t583 () (forall @t582 (or (not (forall @t70 (= @t550 (= @t19 @t581)))) @t578))) % 0.34/0.56 (define @t584 () (forall @t135 (or @t576 @t551 @t129))) % 0.34/0.56 (define @t585 () (not @t584)) % 0.34/0.56 (define @t586 () (@var "BOUND_VARIABLE_9139" $$unsorted)) % 0.34/0.56 (define @t587 () (not (_ @t143 @t586))) % 0.34/0.56 (define @t588 () (or @t587 @t585 @t578)) % 0.34/0.56 (define @t589 () (forall (@list @t143 @t586) @t588)) % 0.34/0.56 (define @t590 () (=> @t589 (=> @t583 (=> @t567 (=> @t580 @t568))))) % 0.34/0.56 (define @t591 () (tptp.prop2set true)) % 0.34/0.56 (define @t592 () (tptp.set2prop @t591)) % 0.34/0.56 (define @t593 () (=> @t592 @t590)) % 0.34/0.56 (define @t594 () (tptp.in tptp.emptyset @t591)) % 0.34/0.56 (define @t595 () (=> @t594 @t593)) % 0.34/0.56 (define @t596 () (tptp.in @t4 tptp.emptyset)) % 0.34/0.56 (define @t597 () (not @t596)) % 0.34/0.56 (define @t598 () (forall @t312 (or @t597 @t575))) % 0.34/0.56 (define @t599 () (=> @t598 @t595)) % 0.34/0.56 (define @t600 () (@var "BOUND_VARIABLE_9048" $$unsorted)) % 0.34/0.56 (define @t601 () (not (_ @t143 @t600))) % 0.34/0.56 (define @t602 () (not (tptp.in @t600 @t2))) % 0.34/0.56 (define @t603 () (tptp.dsetconstr @t2 @t143)) % 0.34/0.56 (define @t604 () (not (= tptp.emptyset @t603))) % 0.34/0.56 (define @t605 () (or @t604 @t602 @t601)) % 0.34/0.56 (define @t606 () (@list @t2 @t143 @t600)) % 0.34/0.56 (define @t607 () (forall @t606 @t605)) % 0.34/0.56 (define @t608 () (=> @t607 @t599)) % 0.34/0.56 (define @t609 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.34/0.56 (define @t610 () (tptp.setadjoin @t4 @t609)) % 0.34/0.56 (define @t611 () (tptp.in @t19 @t610)) % 0.34/0.56 (define @t612 () (forall @t135 @t611)) % 0.34/0.56 (define @t613 () (=> @t612 @t608)) % 0.34/0.56 (define @t614 () (tptp.in @t4 @t610)) % 0.34/0.56 (define @t615 () (forall @t135 @t614)) % 0.34/0.56 (define @t616 () (=> @t615 @t613)) % 0.34/0.56 (define @t617 () (= @t19 @t289)) % 0.34/0.56 (define @t618 () (= @t4 @t289)) % 0.34/0.56 (define @t619 () (tptp.in @t289 @t610)) % 0.34/0.56 (define @t620 () (forall @t295 (or (not @t619) @t618 @t617))) % 0.34/0.56 (define @t621 () (=> @t620 @t616)) % 0.34/0.56 (define @t622 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.34/0.56 (define @t623 () (tptp.in @t19 @t622)) % 0.34/0.56 (define @t624 () (tptp.in @t4 @t609)) % 0.34/0.56 (define @t625 () (not @t624)) % 0.34/0.56 (define @t626 () (forall @t135 (or @t625 @t623))) % 0.34/0.56 (define @t627 () (=> @t626 @t621)) % 0.34/0.56 (define @t628 () (tptp.in @t19 @t609)) % 0.34/0.56 (define @t629 () (forall @t70 @t628)) % 0.34/0.56 (define @t630 () (=> @t629 @t627)) % 0.34/0.56 (define @t631 () (forall @t135 (or @t129 (not @t623)))) % 0.34/0.56 (define @t632 () (=> @t631 @t630)) % 0.34/0.56 (define @t633 () (forall @t135 (or @t625 @t129))) % 0.34/0.56 (define @t634 () (=> @t633 @t632)) % 0.34/0.56 (define @t635 () (forall @t9 @t520)) % 0.34/0.56 (define @t636 () (not @t635)) % 0.34/0.56 (define @t637 () (forall @t64 (or @t196 @t636))) % 0.34/0.56 (define @t638 () (=> @t637 @t634)) % 0.34/0.56 (define @t639 () (@var "BOUND_VARIABLE_8932" $$unsorted)) % 0.34/0.56 (define @t640 () (not (_ @t143 @t639))) % 0.34/0.56 (define @t641 () (forall @t70 (= @t129 @t550))) % 0.34/0.56 (define @t642 () (forall @t9 (not @t641))) % 0.34/0.56 (define @t643 () (not @t642)) % 0.34/0.56 (define @t644 () (@list @t143 @t639)) % 0.34/0.56 (define @t645 () (forall @t644 (or @t643 @t640 (not (forall @t70 (or @t551 (= @t19 @t639))))))) % 0.34/0.56 (define @t646 () (=> @t645 @t638)) % 0.34/0.56 (define @t647 () (tptp.setunion @t2)) % 0.34/0.56 (define @t648 () (tptp.powerset @t647)) % 0.34/0.56 (define @t649 () (tptp.in @t4 @t648)) % 0.34/0.56 (define @t650 () (forall @t46 (or @t520 @t649))) % 0.34/0.56 (define @t651 () (=> @t650 @t646)) % 0.34/0.56 (define @t652 () (tptp.in @t1 @t2)) % 0.34/0.56 (define @t653 () (not @t652)) % 0.34/0.56 (define @t654 () (forall @t41 (or @t540 @t653))) % 0.34/0.56 (define @t655 () (not @t654)) % 0.34/0.56 (define @t656 () (tptp.in @t4 @t647)) % 0.34/0.56 (define @t657 () (forall @t46 (or (not @t656) @t655))) % 0.34/0.56 (define @t658 () (=> @t657 @t651)) % 0.34/0.56 (define @t659 () (forall @t249 (or @t540 @t653 @t656))) % 0.34/0.56 (define @t660 () (=> @t659 @t658)) % 0.34/0.56 (define @t661 () (tptp.powerset @t2)) % 0.34/0.56 (define @t662 () (tptp.in @t1 @t661)) % 0.34/0.56 (define @t663 () (forall @t245 (or (not @t662) @t540 @t519))) % 0.34/0.56 (define @t664 () (=> @t663 @t660)) % 0.34/0.56 (define @t665 () (tptp.in tptp.emptyset @t661)) % 0.34/0.56 (define @t666 () (forall @t64 @t665)) % 0.34/0.56 (define @t667 () (=> @t666 @t664)) % 0.34/0.56 (define @t668 () (=> @t666 @t667)) % 0.34/0.56 (define @t669 () (forall @t9 (or @t540 @t519))) % 0.34/0.56 (define @t670 () (not @t669)) % 0.34/0.56 (define @t671 () (forall @t12 (or @t670 @t662))) % 0.34/0.56 (define @t672 () (=> @t671 @t668)) % 0.34/0.56 (define @t673 () (@var "BOUND_VARIABLE_19238" $$unsorted)) % 0.34/0.56 (define @t674 () (lambda (@list @t673) true)) % 0.34/0.56 (define @t675 () (tptp.dsetconstr @t2 @t674)) % 0.34/0.56 (define @t676 () (forall @t64 (= @t2 @t675))) % 0.34/0.56 (define @t677 () (=> @t676 @t672)) % 0.34/0.56 (define @t678 () (tptp.in @t19 @t2)) % 0.34/0.56 (define @t679 () (tptp.setadjoin @t4 @t2)) % 0.34/0.56 (define @t680 () (tptp.in @t19 @t679)) % 0.34/0.56 (define @t681 () (forall @t28 (or (not @t680) @t129 @t678))) % 0.34/0.56 (define @t682 () (=> @t681 @t677)) % 0.34/0.56 (define @t683 () (=> @t681 @t682)) % 0.34/0.56 (define @t684 () (not @t678)) % 0.34/0.56 (define @t685 () (forall @t28 (or @t684 @t680))) % 0.34/0.56 (define @t686 () (=> @t685 @t683)) % 0.34/0.56 (define @t687 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.34/0.56 (define @t688 () (tptp.in tptp.emptyset @t687)) % 0.34/0.56 (define @t689 () (=> @t221 @t686)) % 0.34/0.56 (define @t690 () (tptp.setadjoin @t4 @t19)) % 0.34/0.56 (define @t691 () (tptp.in @t4 @t690)) % 0.34/0.56 (define @t692 () (forall @t135 @t691)) % 0.34/0.56 (define @t693 () (=> @t692 @t689)) % 0.34/0.56 (define @t694 () (@var "BOUND_VARIABLE_8773" $$unsorted)) % 0.34/0.56 (define @t695 () (not (tptp.in @t694 tptp.emptyset))) % 0.34/0.56 (define @t696 () (@list @t694)) % 0.34/0.56 (define @t697 () (forall @t696 @t695)) % 0.34/0.56 (define @t698 () (=> @t697 @t693)) % 0.34/0.56 (define @t699 () (forall @t159 (or @t520 @t576 @t604))) % 0.34/0.56 (define @t700 () (=> @t699 @t698)) % 0.34/0.56 (define @t701 () (=> @t637 @t700)) % 0.34/0.56 (define @t702 () (tptp.in @t4 @t603)) % 0.34/0.56 (define @t703 () (forall @t159 (or @t520 (= @t575 @t702)))) % 0.34/0.56 (define @t704 () (=> @t703 @t701)) % 0.34/0.56 (define @t705 () (forall @t64 (or @t636 @t196))) % 0.34/0.56 (define @t706 () (=> @t705 @t704)) % 0.34/0.56 (define @t707 () (=> @t705 @t706)) % 0.34/0.56 (define @t708 () (or @t530 @t670 @t3)) % 0.34/0.56 (define @t709 () (forall @t12 @t708)) % 0.34/0.56 (define @t710 () (=> @t709 @t707)) % 0.34/0.56 (define @t711 () (@var "BOUND_VARIABLE_8670" $$unsorted)) % 0.34/0.56 (define @t712 () (not (_ @t143 @t711))) % 0.34/0.56 (define @t713 () (forall @t9 @t576)) % 0.34/0.56 (define @t714 () (not @t713)) % 0.34/0.56 (define @t715 () (@list @t143 @t711)) % 0.34/0.56 (define @t716 () (forall @t715 (or @t714 @t712 (not (forall @t70 (or @t551 (= @t19 @t711))))))) % 0.34/0.56 (define @t717 () (=> @t716 @t710)) % 0.34/0.56 (define @t718 () (forall @t9 @t597)) % 0.34/0.56 (define @t719 () (=> @t718 @t717)) % 0.34/0.56 (define @t720 () (=> @t718 @t719)) % 0.34/0.56 (define @t721 () (=> @t718 @t720)) % 0.34/0.56 (define @t722 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.34/0.56 (define @t723 () (forall @t9 @t722)) % 0.34/0.56 (define @t724 () (=> @t723 @t721)) % 0.34/0.56 (define @t725 () (not @t702)) % 0.34/0.56 (define @t726 () (forall @t159 (or @t725 @t575))) % 0.34/0.56 (define @t727 () (=> @t726 @t724)) % 0.34/0.56 (define @t728 () (forall @t159 (or @t725 @t519))) % 0.34/0.56 (define @t729 () (=> @t728 @t727)) % 0.34/0.56 (define @t730 () (forall @t159 (or @t520 @t576 @t702))) % 0.34/0.56 (define @t731 () (=> @t730 @t729)) % 0.34/0.56 (define @t732 () (@var "BOUND_VARIABLE_8569" $$unsorted)) % 0.34/0.56 (define @t733 () (not (_ @t143 @t732))) % 0.34/0.56 (define @t734 () (_ @t143 @t553)) % 0.34/0.56 (define @t735 () (@list @t143 @t732)) % 0.34/0.56 (define @t736 () (forall @t735 (or @t734 @t733 (not (forall @t70 (or @t551 (= @t19 @t732))))))) % 0.34/0.56 (define @t737 () (=> @t736 @t731)) % 0.34/0.56 (define @t738 () (@var "BOUND_VARIABLE_8489" $$unsorted)) % 0.34/0.56 (define @t739 () (tptp.in @t738 @t95)) % 0.34/0.56 (define @t740 () (not (tptp.in @t738 @t93))) % 0.34/0.56 (define @t741 () (tptp.in @t4 @t93)) % 0.34/0.56 (define @t742 () (tptp.in @t93 @t1)) % 0.34/0.56 (define @t743 () (not @t742)) % 0.34/0.56 (define @t744 () (or @t743 @t741 @t740 @t739)) % 0.34/0.56 (define @t745 () (@list @t93 @t738)) % 0.34/0.56 (define @t746 () (forall @t745 @t744)) % 0.34/0.56 (define @t747 () (not @t746)) % 0.34/0.56 (define @t748 () (tptp.in @t19 @t104)) % 0.34/0.56 (define @t749 () (tptp.in @t19 @t95)) % 0.34/0.56 (define @t750 () (forall @t70 (or (not @t749) (not @t748)))) % 0.34/0.56 (define @t751 () (not @t750)) % 0.34/0.56 (define @t752 () (tptp.in @t4 @t104)) % 0.34/0.56 (define @t753 () (not @t752)) % 0.34/0.56 (define @t754 () (tptp.in @t95 @t1)) % 0.34/0.56 (define @t755 () (not @t754)) % 0.34/0.56 (define @t756 () (not (forall @t112 (or @t755 @t753 @t751 @t747)))) % 0.34/0.56 (define @t757 () (@var "BOUND_VARIABLE_8518" $$unsorted)) % 0.34/0.56 (define @t758 () (not (tptp.in @t757 @t104))) % 0.34/0.56 (define @t759 () (forall @t9 (or @t753 @t519))) % 0.34/0.56 (define @t760 () (not @t759)) % 0.34/0.56 (define @t761 () (or @t760 @t758 @t756)) % 0.34/0.56 (define @t762 () (forall (@list @t104 @t757) @t761)) % 0.34/0.56 (define @t763 () (not @t762)) % 0.34/0.56 (define @t764 () (@var "BOUND_VARIABLE_8441" $$unsorted)) % 0.34/0.56 (define @t765 () (tptp.in @t764 @t104)) % 0.34/0.56 (define @t766 () (not (tptp.in @t764 @t95))) % 0.34/0.56 (define @t767 () (@var "BOUND_VARIABLE_8435" $$unsorted)) % 0.34/0.56 (define @t768 () (tptp.in @t767 @t95)) % 0.34/0.56 (define @t769 () (not (tptp.in @t767 @t104))) % 0.34/0.56 (define @t770 () (tptp.in @t104 @t1)) % 0.34/0.56 (define @t771 () (not @t770)) % 0.34/0.56 (define @t772 () (or @t771 @t755 @t769 @t768 @t766 @t765)) % 0.34/0.56 (define @t773 () (@list @t104 @t95 @t767 @t764)) % 0.34/0.56 (define @t774 () (forall @t773 @t772)) % 0.34/0.56 (define @t775 () (not @t774)) % 0.34/0.56 (define @t776 () (forall @t118 (or @t771 (= @t752 @t748)))) % 0.34/0.56 (define @t777 () (not @t776)) % 0.34/0.56 (define @t778 () (forall @t135 (or @t520 @t684 @t777 @t129))) % 0.34/0.56 (define @t779 () (not @t778)) % 0.34/0.56 (define @t780 () (@var "BOUND_VARIABLE_8384" $$unsorted)) % 0.34/0.56 (define @t781 () (tptp.in @t780 @t2)) % 0.34/0.56 (define @t782 () (not (tptp.in @t780 @t104))) % 0.34/0.56 (define @t783 () (or @t771 @t782 @t781)) % 0.34/0.56 (define @t784 () (@list @t104 @t780)) % 0.34/0.56 (define @t785 () (forall @t784 @t783)) % 0.34/0.56 (define @t786 () (not @t785)) % 0.34/0.56 (define @t787 () (or @t786 @t779 @t775 @t763)) % 0.34/0.56 (define @t788 () (forall @t64 (not (forall @t41 @t787)))) % 0.34/0.56 (define @t789 () (=> @t788 @t737)) % 0.34/0.56 (define @t790 () (forall @t9 (or @t540 @t520))) % 0.34/0.56 (define @t791 () (not @t790)) % 0.34/0.56 (define @t792 () (not (forall @t41 (or @t653 @t791)))) % 0.34/0.56 (define @t793 () (@var "BOUND_VARIABLE_8359" $$unsorted)) % 0.34/0.56 (define @t794 () (not (tptp.in @t793 @t2))) % 0.34/0.56 (define @t795 () (or @t794 @t792)) % 0.34/0.56 (define @t796 () (forall (@list @t2 @t793) @t795)) % 0.34/0.56 (define @t797 () (=> @t796 @t789)) % 0.34/0.56 (define @t798 () (_ @t67 @t19 @t4)) % 0.34/0.56 (define @t799 () (not (forall @t70 (or @t684 (not @t798))))) % 0.34/0.56 (define @t800 () (forall @t9 (= @t521 @t799))) % 0.34/0.56 (define @t801 () (not (forall @t41 (not @t800)))) % 0.34/0.56 (define @t802 () (@var "BOUND_VARIABLE_8249" $$unsorted)) % 0.34/0.56 (define @t803 () (= @t19 @t802)) % 0.34/0.56 (define @t804 () (_ @t67 @t4 @t19)) % 0.34/0.56 (define @t805 () (not (forall @t70 (or (not @t804) @t803)))) % 0.34/0.56 (define @t806 () (_ @t67 @t4 @t802)) % 0.34/0.56 (define @t807 () (@list @t802)) % 0.34/0.56 (define @t808 () (not (forall @t807 (or (not @t806) @t805)))) % 0.34/0.56 (define @t809 () (forall @t9 (or @t520 @t808))) % 0.34/0.56 (define @t810 () (forall @t81 (or (not @t809) @t801))) % 0.34/0.56 (define @t811 () (=> @t810 @t797)) % 0.34/0.56 (define @t812 () (@var "BOUND_VARIABLE_8230" $$unsorted)) % 0.34/0.56 (define @t813 () (tptp.in @t812 @t2)) % 0.34/0.56 (define @t814 () (not (tptp.in @t812 tptp.omega))) % 0.34/0.56 (define @t815 () (tptp.setadjoin @t4 @t4)) % 0.34/0.56 (define @t816 () (tptp.in @t815 @t2)) % 0.34/0.56 (define @t817 () (tptp.in @t4 tptp.omega)) % 0.34/0.56 (define @t818 () (not @t817)) % 0.34/0.56 (define @t819 () (forall @t9 (or @t818 @t520 @t816))) % 0.34/0.56 (define @t820 () (not @t819)) % 0.34/0.56 (define @t821 () (tptp.in tptp.emptyset @t2)) % 0.34/0.56 (define @t822 () (not @t821)) % 0.34/0.56 (define @t823 () (or @t822 @t820 @t814 @t813)) % 0.34/0.56 (define @t824 () (@list @t2 @t812)) % 0.34/0.56 (define @t825 () (forall @t824 @t823)) % 0.34/0.56 (define @t826 () (=> @t825 @t811)) % 0.34/0.56 (define @t827 () (tptp.in @t815 tptp.omega)) % 0.34/0.56 (define @t828 () (forall @t9 (or @t818 @t827))) % 0.34/0.56 (define @t829 () (=> @t828 @t826)) % 0.34/0.56 (define @t830 () (tptp.in tptp.emptyset tptp.omega)) % 0.34/0.56 (define @t831 () (=> @t50 @t829)) % 0.34/0.56 (define @t832 () (forall @t46 (= @t655 @t656))) % 0.34/0.56 (define @t833 () (=> @t832 @t831)) % 0.34/0.56 (define @t834 () (forall @t12 (= @t669 @t662))) % 0.34/0.56 (define @t835 () (=> @t834 @t833)) % 0.34/0.56 (define @t836 () (or @t129 @t678)) % 0.34/0.56 (define @t837 () (forall @t28 (= @t680 @t836))) % 0.34/0.56 (define @t838 () (=> @t837 @t835)) % 0.34/0.56 (define @t839 () (=> @t718 @t838)) % 0.34/0.56 (define @t840 () (forall @t9 (= @t519 @t521))) % 0.34/0.56 (define @t841 () (forall @t12 (or (not @t840) @t3))) % 0.34/0.56 (define @t842 () (=> @t841 @t839)) % 0.34/0.56 (define @t843 () (=> true (=> true @t568))) % 0.34/0.56 (define @t844 () (=> true @t843)) % 0.34/0.56 (define @t845 () (=> true @t844)) % 0.34/0.56 (define @t846 () (=> true @t845)) % 0.34/0.56 (define @t847 () (=> @t580 @t846)) % 0.34/0.56 (define @t848 () (=> @t567 @t847)) % 0.34/0.56 (define @t849 () (=> true (=> true @t848))) % 0.34/0.56 (define @t850 () (=> @t583 @t849)) % 0.34/0.56 (define @t851 () (=> @t589 @t850)) % 0.34/0.56 (define @t852 () (=> true (=> true @t851))) % 0.34/0.56 (define @t853 () (=> true @t852)) % 0.34/0.56 (define @t854 () (=> @t592 @t853)) % 0.34/0.56 (define @t855 () (=> @t594 @t854)) % 0.34/0.56 (define @t856 () (=> true (=> true @t855))) % 0.34/0.56 (define @t857 () (=> true @t856)) % 0.34/0.56 (define @t858 () (=> true @t857)) % 0.34/0.56 (define @t859 () (=> @t598 @t858)) % 0.34/0.56 (define @t860 () (=> @t607 @t859)) % 0.34/0.56 (define @t861 () (=> @t612 @t860)) % 0.34/0.56 (define @t862 () (=> @t615 @t861)) % 0.34/0.56 (define @t863 () (=> @t620 @t862)) % 0.34/0.56 (define @t864 () (=> @t626 @t863)) % 0.34/0.56 (define @t865 () (=> @t629 @t864)) % 0.34/0.56 (define @t866 () (=> @t631 @t865)) % 0.34/0.56 (define @t867 () (=> @t633 @t866)) % 0.34/0.56 (define @t868 () (=> @t637 @t867)) % 0.34/0.56 (define @t869 () (=> @t645 @t868)) % 0.34/0.56 (define @t870 () (=> @t650 @t869)) % 0.34/0.56 (define @t871 () (=> @t657 @t870)) % 0.34/0.56 (define @t872 () (=> @t659 @t871)) % 0.34/0.56 (define @t873 () (=> @t663 @t872)) % 0.34/0.56 (define @t874 () (=> @t666 @t873)) % 0.34/0.56 (define @t875 () (=> @t666 @t874)) % 0.34/0.56 (define @t876 () (=> @t671 @t875)) % 0.34/0.56 (define @t877 () (=> @t676 @t876)) % 0.34/0.56 (define @t878 () (=> @t681 @t877)) % 0.34/0.56 (define @t879 () (=> @t681 @t878)) % 0.34/0.56 (define @t880 () (=> @t685 @t879)) % 0.34/0.56 (define @t881 () (=> @t221 @t880)) % 0.34/0.56 (define @t882 () (=> @t692 @t881)) % 0.34/0.56 (define @t883 () (=> @t697 @t882)) % 0.34/0.56 (define @t884 () (=> @t699 @t883)) % 0.34/0.56 (define @t885 () (=> @t637 @t884)) % 0.34/0.56 (define @t886 () (=> @t703 @t885)) % 0.34/0.56 (define @t887 () (=> @t705 @t886)) % 0.34/0.56 (define @t888 () (=> @t705 @t887)) % 0.34/0.56 (define @t889 () (=> @t709 @t888)) % 0.34/0.56 (define @t890 () (=> @t716 @t889)) % 0.34/0.56 (define @t891 () (=> @t718 @t890)) % 0.34/0.56 (define @t892 () (=> @t718 @t891)) % 0.34/0.56 (define @t893 () (=> @t718 @t892)) % 0.34/0.56 (define @t894 () (=> @t723 @t893)) % 0.34/0.56 (define @t895 () (=> @t726 (=> true @t894))) % 0.34/0.56 (define @t896 () (=> @t728 @t895)) % 0.34/0.56 (define @t897 () (=> @t730 @t896)) % 0.34/0.56 (define @t898 () (=> @t736 @t897)) % 0.34/0.56 (define @t899 () (=> @t788 @t898)) % 0.34/0.56 (define @t900 () (=> @t796 @t899)) % 0.34/0.56 (define @t901 () (=> @t810 @t900)) % 0.34/0.56 (define @t902 () (=> @t825 @t901)) % 0.34/0.56 (define @t903 () (=> @t828 @t902)) % 0.34/0.56 (define @t904 () (=> @t50 @t903)) % 0.34/0.56 (define @t905 () (=> @t832 @t904)) % 0.34/0.56 (define @t906 () (=> @t834 @t905)) % 0.34/0.56 (define @t907 () (=> @t837 @t906)) % 0.34/0.56 (define @t908 () (=> @t718 @t907)) % 0.34/0.56 (define @t909 () (=> @t841 @t908)) % 0.34/0.56 (define @t910 () (not @t418)) % 0.34/0.56 (define @t911 () (or @t910 @t197 @t6)) % 0.34/0.56 (define @t912 () (or @t197 @t6)) % 0.34/0.56 (define @t913 () (=> tptp.subsetE @t525)) % 0.34/0.56 (define @t914 () (=> tptp.emptysetsubset @t913)) % 0.34/0.56 (define @t915 () (or @t530 @t418)) % 0.34/0.56 (define @t916 () (=> tptp.subsetI2 @t914)) % 0.34/0.56 (define @t917 () (not true)) % 0.34/0.56 (define @t918 () (not (= @t1 @t1))) % 0.34/0.56 (define @t919 () (or @t918 @t532)) % 0.34/0.56 (define @t920 () (not @t3)) % 0.34/0.56 (define @t921 () (or @t920 @t920 @t522)) % 0.34/0.56 (define @t922 () (or @t920 @t522)) % 0.34/0.56 (define @t923 () (forall @t64 @t922)) % 0.34/0.56 (define @t924 () (forall @t41 @t923)) % 0.34/0.56 (define @t925 () (@list @t1 @t2)) % 0.34/0.56 (define @t926 () (forall @t925 @t922)) % 0.34/0.56 (define @t927 () (or @t920 @t418)) % 0.34/0.56 (define @t928 () (=> tptp.eqimpsubset1 @t916)) % 0.34/0.56 (define @t929 () (tptp.subset @t1 @t2)) % 0.34/0.56 (define @t930 () (or @t920 @t920 @t929)) % 0.34/0.56 (define @t931 () (or @t920 @t929)) % 0.34/0.56 (define @t932 () (forall @t64 @t931)) % 0.34/0.56 (define @t933 () (forall @t41 @t932)) % 0.34/0.56 (define @t934 () (forall @t925 @t931)) % 0.34/0.56 (define @t935 () (or @t920 @t422)) % 0.34/0.56 (define @t936 () (=> tptp.eqimpsubset2 @t928)) % 0.34/0.56 (define @t937 () (=> tptp.subsetI1 @t936)) % 0.34/0.56 (define @t938 () (or @t540 @t540 @t539)) % 0.34/0.56 (define @t939 () (forall @t9 @t938)) % 0.34/0.56 (define @t940 () (not @t939)) % 0.34/0.56 (define @t941 () (or @t918 @t940 (= @t535 @t537))) % 0.34/0.56 (define @t942 () (= (tptp.dsetconstr @t2 @t534) @t537)) % 0.34/0.56 (define @t943 () (not (forall @t9 (or @t520 @t540 @t539)))) % 0.34/0.56 (define @t944 () (or @t920 @t920 @t943 @t942)) % 0.34/0.56 (define @t945 () (or @t920 @t943 @t942)) % 0.34/0.56 (define @t946 () (forall @t64 @t945)) % 0.34/0.56 (define @t947 () (forall @t544 @t946)) % 0.34/0.56 (define @t948 () (forall (@list @t1 @t534 @t536 @t2) @t945)) % 0.34/0.56 (define @t949 () (@list @t2 @t1 @t534 @t536)) % 0.34/0.56 (define @t950 () (or @t943 @t942)) % 0.34/0.56 (define @t951 () (or @t920 @t950)) % 0.34/0.56 (define @t952 () (forall @t949 @t951)) % 0.34/0.56 (define @t953 () (@list @t534 @t536)) % 0.34/0.56 (define @t954 () (forall @t953 @t951)) % 0.34/0.56 (define @t955 () (forall @t953 @t950)) % 0.34/0.56 (define @t956 () (or @t920 @t955)) % 0.34/0.56 (define @t957 () (= @t575 @t570)) % 0.34/0.56 (define @t958 () (forall @t9 (or @t520 @t540 @t957))) % 0.34/0.56 (define @t959 () (not @t958)) % 0.34/0.56 (define @t960 () (forall @t375 (or @t959 (= @t603 (tptp.dsetconstr @t1 @t365))))) % 0.34/0.56 (define @t961 () (lambda @t9 @t570)) % 0.34/0.56 (define @t962 () (tptp.dsetconstr @t1 @t961)) % 0.34/0.56 (define @t963 () (lambda @t9 @t575)) % 0.34/0.56 (define @t964 () (tptp.dsetconstr @t2 @t963)) % 0.34/0.56 (define @t965 () (= @t964 @t962)) % 0.34/0.56 (define @t966 () (or @t959 @t965)) % 0.34/0.56 (define @t967 () (or @t959 @t409)) % 0.34/0.56 (define @t968 () (or @t197 @t540 @t957)) % 0.34/0.56 (define @t969 () (or @t540 @t957)) % 0.34/0.56 (define @t970 () (not (= @t4 @t4))) % 0.34/0.56 (define @t971 () (or @t540 @t970 @t957)) % 0.34/0.56 (define @t972 () (= @t575 @t546)) % 0.34/0.56 (define @t973 () (tptp.in @t19 @t1)) % 0.34/0.56 (define @t974 () (not @t973)) % 0.34/0.56 (define @t975 () (or @t282 @t974 @t282 @t972)) % 0.34/0.56 (define @t976 () (or @t974 @t282 @t972)) % 0.34/0.56 (define @t977 () (not @t351)) % 0.34/0.56 (define @t978 () (or @t977 @t282 @t371)) % 0.34/0.56 (define @t979 () (or @t282 @t371)) % 0.34/0.56 (define @t980 () (=> tptp.dsetconstr__Cong @t937)) % 0.34/0.56 (define @t981 () (or @t547 (= @t545 @t19))) % 0.34/0.56 (define @t982 () (forall @t70 @t981)) % 0.34/0.56 (define @t983 () (not @t982)) % 0.34/0.56 (define @t984 () (or @t551 (= @t549 @t19))) % 0.34/0.56 (define @t985 () (forall @t70 @t984)) % 0.34/0.56 (define @t986 () (not @t985)) % 0.34/0.56 (define @t987 () (or @t557 @t554 @t552 @t986 @t548 @t983)) % 0.34/0.56 (define @t988 () (or @t548 @t983)) % 0.34/0.56 (define @t989 () (or @t552 @t986)) % 0.34/0.56 (define @t990 () (or @t557 @t989 @t988 @t554)) % 0.34/0.56 (define @t991 () (forall @t558 @t990)) % 0.34/0.56 (define @t992 () (forall (@list @t549 @t545) @t990)) % 0.34/0.56 (define @t993 () (forall (@list @t545) @t988)) % 0.34/0.56 (define @t994 () (@list @t4)) % 0.34/0.56 (define @t995 () (forall (@list @t549) @t989)) % 0.34/0.56 (define @t996 () (or @t557 @t995 @t993 @t554)) % 0.34/0.56 (define @t997 () (tptp.descr @t961)) % 0.34/0.56 (define @t998 () (tptp.descr @t963)) % 0.34/0.56 (define @t999 () (= @t998 @t997)) % 0.34/0.56 (define @t1000 () (or @t557 @t577 @t571 @t999)) % 0.34/0.56 (define @t1001 () (or @t557 @t577 @t571 @t401)) % 0.34/0.56 (define @t1002 () (or @t577 @t571 @t401)) % 0.34/0.56 (define @t1003 () (=> @t572 @t401)) % 0.34/0.56 (define @t1004 () (not @t578)) % 0.34/0.56 (define @t1005 () (=> @t578 @t1003)) % 0.34/0.56 (define @t1006 () (not @t366)) % 0.34/0.56 (define @t1007 () (or @t1006 @t569)) % 0.34/0.56 (define @t1008 () (not @t370)) % 0.34/0.56 (define @t1009 () (or @t1008 @t129)) % 0.34/0.56 (define @t1010 () (_ @t367 @t19)) % 0.34/0.56 (define @t1011 () (not @t1010)) % 0.34/0.56 (define @t1012 () (or @t1011 @t129)) % 0.34/0.56 (define @t1013 () (forall @t70 @t1012)) % 0.34/0.56 (define @t1014 () (not @t1013)) % 0.34/0.56 (define @t1015 () (_ @t367 @t4)) % 0.34/0.56 (define @t1016 () (not @t1015)) % 0.34/0.56 (define @t1017 () (or @t1016 @t1014)) % 0.34/0.56 (define @t1018 () (forall @t9 @t1017)) % 0.34/0.56 (define @t1019 () (not @t1018)) % 0.34/0.56 (define @t1020 () (lambda @t150 @t578)) % 0.34/0.56 (define @t1021 () (_ @t1020 @t367)) % 0.34/0.56 (define @t1022 () (=> @t1021 @t401)) % 0.34/0.56 (define @t1023 () (or @t315 @t574)) % 0.34/0.56 (define @t1024 () (not @t153)) % 0.34/0.56 (define @t1025 () (or @t1024 @t129)) % 0.34/0.56 (define @t1026 () (_ @t145 @t19)) % 0.34/0.56 (define @t1027 () (not @t1026)) % 0.34/0.56 (define @t1028 () (or @t1027 @t129)) % 0.34/0.56 (define @t1029 () (forall @t70 @t1028)) % 0.34/0.56 (define @t1030 () (not @t1029)) % 0.34/0.56 (define @t1031 () (_ @t145 @t4)) % 0.34/0.56 (define @t1032 () (not @t1031)) % 0.34/0.56 (define @t1033 () (or @t1032 @t1030)) % 0.34/0.56 (define @t1034 () (forall @t9 @t1033)) % 0.34/0.56 (define @t1035 () (not @t1034)) % 0.34/0.56 (define @t1036 () (_ @t1020 @t145)) % 0.34/0.56 (define @t1037 () (=> @t1036 @t1022)) % 0.34/0.56 (define @t1038 () (not (= @t19 @t19))) % 0.34/0.56 (define @t1039 () (or @t1038 @t555)) % 0.34/0.56 (define @t1040 () (or @t282 @t282 @t972)) % 0.34/0.56 (define @t1041 () (or @t282 @t972)) % 0.34/0.56 (define @t1042 () (forall @t9 @t1041)) % 0.34/0.56 (define @t1043 () (forall @t70 @t1042)) % 0.34/0.56 (define @t1044 () (@list @t19 @t4)) % 0.34/0.56 (define @t1045 () (forall @t1044 @t1041)) % 0.34/0.56 (define @t1046 () (=> @t373 @t1037)) % 0.34/0.56 (define @t1047 () (forall @t375 @t1046)) % 0.34/0.56 (define @t1048 () (and @t144 @t573)) % 0.34/0.56 (define @t1049 () (forall @t9 (not @t1048))) % 0.34/0.56 (define @t1050 () (not @t1049)) % 0.34/0.56 (define @t1051 () (=> tptp.descr__Cong @t980)) % 0.34/0.56 (define @t1052 () (or @t551 (= @t564 @t19))) % 0.34/0.56 (define @t1053 () (forall @t70 @t1052)) % 0.34/0.56 (define @t1054 () (not @t1053)) % 0.34/0.56 (define @t1055 () (or @t565 @t1054 @t563 @t562 @t561)) % 0.34/0.56 (define @t1056 () (or @t563 @t562 @t561)) % 0.34/0.56 (define @t1057 () (or @t565 @t1054)) % 0.34/0.56 (define @t1058 () (or @t1057 @t1056)) % 0.34/0.56 (define @t1059 () (forall @t566 @t1058)) % 0.34/0.56 (define @t1060 () (forall (@list @t564 @t560 @t559) @t1058)) % 0.34/0.56 (define @t1061 () (forall (@list @t560 @t559) @t1056)) % 0.34/0.56 (define @t1062 () (forall (@list @t564) @t1057)) % 0.34/0.56 (define @t1063 () (or @t1062 @t1061)) % 0.34/0.56 (define @t1064 () (or @t315 @t1024 @t129)) % 0.34/0.56 (define @t1065 () (=> @t1036 @t343)) % 0.34/0.56 (define @t1066 () (forall @t150 @t1065)) % 0.34/0.56 (define @t1067 () (=> tptp.exuEu @t1051)) % 0.34/0.56 (define @t1068 () (=> tptp.omega__Cong @t1067)) % 0.34/0.56 (define @t1069 () (tptp.setunion @t1)) % 0.34/0.56 (define @t1070 () (or @t918 (= @t1069 @t1069))) % 0.34/0.56 (define @t1071 () (= @t647 @t1069)) % 0.34/0.56 (define @t1072 () (or @t920 @t920 @t1071)) % 0.34/0.56 (define @t1073 () (or @t920 @t1071)) % 0.34/0.56 (define @t1074 () (forall @t64 @t1073)) % 0.34/0.56 (define @t1075 () (forall @t41 @t1074)) % 0.34/0.56 (define @t1076 () (forall @t925 @t1073)) % 0.34/0.56 (define @t1077 () (or @t920 @t395)) % 0.34/0.56 (define @t1078 () (=> tptp.setunion__Cong @t1068)) % 0.34/0.56 (define @t1079 () (tptp.powerset @t1)) % 0.34/0.56 (define @t1080 () (or @t918 (= @t1079 @t1079))) % 0.34/0.56 (define @t1081 () (= @t661 @t1079)) % 0.34/0.56 (define @t1082 () (or @t920 @t920 @t1081)) % 0.34/0.56 (define @t1083 () (or @t920 @t1081)) % 0.34/0.56 (define @t1084 () (forall @t64 @t1083)) % 0.34/0.56 (define @t1085 () (forall @t41 @t1084)) % 0.34/0.56 (define @t1086 () (forall @t925 @t1083)) % 0.34/0.56 (define @t1087 () (or @t920 @t391)) % 0.34/0.56 (define @t1088 () (=> tptp.powerset__Cong @t1078)) % 0.34/0.56 (define @t1089 () (@var "BOUND_VARIABLE_9353" $$unsorted)) % 0.34/0.56 (define @t1090 () (@list @t19 @t1089)) % 0.34/0.56 (define @t1091 () (tptp.setadjoin @t19 @t1089)) % 0.34/0.56 (define @t1092 () (or @t1038 (= @t1091 @t1091))) % 0.34/0.56 (define @t1093 () (= @t1091 (tptp.setadjoin @t4 @t1089))) % 0.34/0.56 (define @t1094 () (or @t282 @t282 @t1093)) % 0.34/0.56 (define @t1095 () (or @t282 @t1093)) % 0.34/0.56 (define @t1096 () (forall @t9 @t1095)) % 0.34/0.56 (define @t1097 () (forall @t1090 @t1096)) % 0.34/0.56 (define @t1098 () (forall (@list @t19 @t1089 @t4) @t1095)) % 0.34/0.56 (define @t1099 () (forall (@list @t4 @t19 @t1089) @t1095)) % 0.34/0.56 (define @t1100 () (@list @t1089)) % 0.34/0.56 (define @t1101 () (forall @t1100 @t1095)) % 0.34/0.56 (define @t1102 () (forall @t1100 @t1093)) % 0.34/0.56 (define @t1103 () (or @t282 @t1102)) % 0.34/0.56 (define @t1104 () (tptp.setadjoin @t4 @t380)) % 0.34/0.56 (define @t1105 () (tptp.setadjoin @t19 @t380)) % 0.34/0.56 (define @t1106 () (= @t1105 @t1104)) % 0.34/0.56 (define @t1107 () (@list @t380)) % 0.34/0.56 (define @t1108 () (forall @t1107 @t1106)) % 0.34/0.56 (define @t1109 () (not (= @t380 @t380))) % 0.34/0.56 (define @t1110 () (or @t1109 (= @t1104 @t1105))) % 0.34/0.56 (define @t1111 () (tptp.setadjoin @t4 @t289)) % 0.34/0.56 (define @t1112 () (= @t1111 @t1105)) % 0.34/0.56 (define @t1113 () (not @t384)) % 0.34/0.56 (define @t1114 () (or @t1113 @t1113 @t1112)) % 0.34/0.56 (define @t1115 () (@list @t289)) % 0.34/0.56 (define @t1116 () (or @t1113 @t1112)) % 0.34/0.56 (define @t1117 () (forall @t1115 @t1116)) % 0.34/0.56 (define @t1118 () (forall @t1107 @t1117)) % 0.34/0.56 (define @t1119 () (forall (@list @t380 @t289) @t1116)) % 0.34/0.56 (define @t1120 () (or @t1113 @t383)) % 0.34/0.56 (define @t1121 () (=> tptp.setadjoin__Cong @t1088)) % 0.34/0.56 (define @t1122 () (=> tptp.emptyset__Cong @t1121)) % 0.34/0.56 (define @t1123 () (= @t1036 @t1021)) % 0.34/0.56 (define @t1124 () (=> @t373 @t1123)) % 0.34/0.56 (define @t1125 () (forall @t375 @t1124)) % 0.34/0.56 (define @t1126 () (=> tptp.exu__Cong @t1122)) % 0.34/0.56 (define @t1127 () (=> tptp.exuE3u @t1126)) % 0.34/0.56 (define @t1128 () (@var "BOUND_VARIABLE_9226" $$unsorted)) % 0.34/0.56 (define @t1129 () (@list @t1 @t1128)) % 0.34/0.56 (define @t1130 () (tptp.in @t1128 @t1)) % 0.34/0.56 (define @t1131 () (or @t918 (= @t1130 @t1130))) % 0.34/0.56 (define @t1132 () (= (tptp.in @t1128 @t2) @t1130)) % 0.34/0.56 (define @t1133 () (or @t920 @t920 @t1132)) % 0.34/0.56 (define @t1134 () (or @t920 @t1132)) % 0.34/0.56 (define @t1135 () (forall @t64 @t1134)) % 0.34/0.56 (define @t1136 () (forall @t1129 @t1135)) % 0.34/0.56 (define @t1137 () (forall (@list @t1 @t1128 @t2) @t1134)) % 0.34/0.56 (define @t1138 () (forall (@list @t2 @t1 @t1128) @t1134)) % 0.34/0.56 (define @t1139 () (@list @t1128)) % 0.34/0.56 (define @t1140 () (forall @t1139 @t1134)) % 0.34/0.56 (define @t1141 () (forall @t1139 @t1132)) % 0.34/0.56 (define @t1142 () (@list @t19)) % 0.34/0.56 (define @t1143 () (or @t920 @t1141)) % 0.34/0.56 (define @t1144 () (= @t678 @t973)) % 0.34/0.56 (define @t1145 () (forall @t70 @t1144)) % 0.34/0.56 (define @t1146 () (or @t1038 @t1144)) % 0.34/0.56 (define @t1147 () (= @t519 @t973)) % 0.34/0.56 (define @t1148 () (or @t282 @t282 @t1147)) % 0.34/0.56 (define @t1149 () (or @t282 @t1147)) % 0.34/0.56 (define @t1150 () (forall @t9 @t1149)) % 0.34/0.56 (define @t1151 () (forall @t70 @t1150)) % 0.34/0.56 (define @t1152 () (forall @t1044 @t1149)) % 0.34/0.56 (define @t1153 () (or @t282 @t357)) % 0.34/0.56 (define @t1154 () (=> tptp.in__Cong @t1127)) % 0.34/0.56 (define @t1155 () (@var "BOUND_VARIABLE_9189" $$unsorted)) % 0.34/0.56 (define @t1156 () (@list @t1 @t1155)) % 0.34/0.56 (define @t1157 () (tptp.in @t1155 @t1)) % 0.34/0.56 (define @t1158 () (not @t1157)) % 0.34/0.56 (define @t1159 () (or @t1158 @t1157)) % 0.34/0.56 (define @t1160 () (or @t918 @t1158 @t1157)) % 0.34/0.56 (define @t1161 () (not (tptp.in @t1155 @t2))) % 0.34/0.56 (define @t1162 () (or @t920 @t920 @t1161 @t1157)) % 0.34/0.56 (define @t1163 () (or @t920 @t1161 @t1157)) % 0.34/0.56 (define @t1164 () (forall @t64 @t1163)) % 0.34/0.56 (define @t1165 () (forall @t1156 @t1164)) % 0.34/0.56 (define @t1166 () (forall (@list @t1 @t1155 @t2) @t1163)) % 0.34/0.56 (define @t1167 () (@list @t2 @t1 @t1155)) % 0.34/0.56 (define @t1168 () (or @t1161 @t1157)) % 0.34/0.56 (define @t1169 () (or @t920 @t1168)) % 0.34/0.56 (define @t1170 () (forall @t1167 @t1169)) % 0.34/0.56 (define @t1171 () (@list @t1155)) % 0.34/0.56 (define @t1172 () (forall @t1171 @t1169)) % 0.34/0.56 (define @t1173 () (forall @t1171 @t1168)) % 0.34/0.56 (define @t1174 () (or @t920 @t1173)) % 0.34/0.56 (define @t1175 () (or @t684 @t973)) % 0.34/0.56 (define @t1176 () (forall @t70 @t1175)) % 0.34/0.56 (define @t1177 () (or @t1038 @t684 @t973)) % 0.34/0.56 (define @t1178 () (or @t282 @t282 @t520 @t973)) % 0.34/0.56 (define @t1179 () (or @t282 @t520 @t973)) % 0.34/0.56 (define @t1180 () (forall @t9 @t1179)) % 0.34/0.56 (define @t1181 () (forall @t70 @t1180)) % 0.34/0.56 (define @t1182 () (forall @t1044 @t1179)) % 0.34/0.56 (define @t1183 () (or @t282 @t197 @t351)) % 0.34/0.56 (define @t1184 () (=> tptp.inCongP @t1154)) % 0.34/0.56 (define @t1185 () (= @t581 @t19)) % 0.34/0.56 (define @t1186 () (forall @t70 (= @t1185 @t550))) % 0.34/0.56 (define @t1187 () (not @t1186)) % 0.34/0.56 (define @t1188 () (or @t1187 @t578)) % 0.34/0.56 (define @t1189 () (forall @t582 @t1188)) % 0.34/0.56 (define @t1190 () (@list @t581)) % 0.34/0.56 (define @t1191 () (forall @t1190 @t1188)) % 0.34/0.56 (define @t1192 () (forall @t1190 @t1187)) % 0.34/0.56 (define @t1193 () (or @t1192 @t578)) % 0.34/0.56 (define @t1194 () (= @t153 @t129)) % 0.34/0.56 (define @t1195 () (=> @t265 @t1036)) % 0.34/0.56 (define @t1196 () (forall @t150 @t1195)) % 0.34/0.56 (define @t1197 () (=> tptp.exuI2 @t1184)) % 0.34/0.56 (define @t1198 () (@list @t586)) % 0.34/0.56 (define @t1199 () (forall @t1198 @t588)) % 0.34/0.56 (define @t1200 () (forall @t1198 @t587)) % 0.34/0.56 (define @t1201 () (or @t1200 @t585 @t578)) % 0.34/0.56 (define @t1202 () (or @t713 @t585 @t578)) % 0.34/0.56 (define @t1203 () (=> @t584 @t578)) % 0.34/0.56 (define @t1204 () (=> @t343 @t1036)) % 0.34/0.56 (define @t1205 () (forall @t9 @t315)) % 0.34/0.56 (define @t1206 () (not @t1205)) % 0.34/0.56 (define @t1207 () (=> @t186 @t1204)) % 0.34/0.56 (define @t1208 () (forall @t150 @t1207)) % 0.34/0.56 (define @t1209 () (=> tptp.exuI3 @t1197)) % 0.34/0.56 (define @t1210 () (=> @t169 @t1036)) % 0.34/0.56 (define @t1211 () (forall @t150 @t1210)) % 0.34/0.56 (define @t1212 () (=> tptp.exuI1 @t1209)) % 0.34/0.56 (define @t1213 () (forall @t9 (or @t520 @t575))) % 0.34/0.56 (define @t1214 () (not @t1213)) % 0.34/0.56 (define @t1215 () (or @t197 @t144)) % 0.34/0.56 (define @t1216 () (forall @t9 (not @t316))) % 0.34/0.56 (define @t1217 () (not @t1216)) % 0.34/0.56 (define @t1218 () (=> tptp.notdallE @t1212)) % 0.34/0.56 (define @t1219 () (forall @t9 (or @t520 @t576))) % 0.34/0.56 (define @t1220 () (or @t197 @t315)) % 0.34/0.56 (define @t1221 () (forall @t9 (not @t306))) % 0.34/0.56 (define @t1222 () (not @t1221)) % 0.34/0.56 (define @t1223 () (=> tptp.notdexE @t1218)) % 0.34/0.56 (define @t1224 () (or @t917 @t592)) % 0.34/0.56 (define @t1225 () (tptp.prop2set @t173)) % 0.34/0.56 (define @t1226 () (tptp.set2prop @t1225)) % 0.34/0.56 (define @t1227 () (not @t173)) % 0.34/0.56 (define @t1228 () (not (= @t173 true))) % 0.34/0.56 (define @t1229 () (or @t1227 @t1227 @t1226)) % 0.34/0.56 (define @t1230 () (or @t1227 @t1226)) % 0.34/0.56 (define @t1231 () (or @t1227 @t337)) % 0.34/0.56 (define @t1232 () (=> tptp.prop2set2propI @t1223)) % 0.34/0.56 (define @t1233 () (or @t917 @t594)) % 0.34/0.56 (define @t1234 () (tptp.in tptp.emptyset @t1225)) % 0.34/0.56 (define @t1235 () (or @t1227 @t1227 @t1234)) % 0.34/0.56 (define @t1236 () (or @t1227 @t1234)) % 0.34/0.56 (define @t1237 () (or @t1227 @t334)) % 0.34/0.56 (define @t1238 () (=> tptp.prop2setI @t1232)) % 0.34/0.56 (define @t1239 () (=> tptp.quantDeMorgan4 @t1238)) % 0.34/0.56 (define @t1240 () (=> tptp.quantDeMorgan3 @t1239)) % 0.34/0.56 (define @t1241 () (=> tptp.quantDeMorgan2 @t1240)) % 0.34/0.56 (define @t1242 () (=> tptp.quantDeMorgan1 @t1241)) % 0.34/0.56 (define @t1243 () (or @t16 @t144)) % 0.34/0.56 (define @t1244 () (=> tptp.vacuousDall @t1242)) % 0.34/0.56 (define @t1245 () (or @t602 @t601)) % 0.34/0.56 (define @t1246 () (or @t1245 @t604)) % 0.34/0.56 (define @t1247 () (forall @t606 @t1246)) % 0.34/0.56 (define @t1248 () (@list @t600)) % 0.34/0.56 (define @t1249 () (forall @t1248 @t1246)) % 0.34/0.56 (define @t1250 () (forall @t1248 @t1245)) % 0.34/0.56 (define @t1251 () (or @t1250 @t604)) % 0.34/0.56 (define @t1252 () (= tptp.emptyset @t964)) % 0.34/0.56 (define @t1253 () (not @t1252)) % 0.34/0.56 (define @t1254 () (or @t1219 @t1253)) % 0.34/0.56 (define @t1255 () (= tptp.emptyset @t304)) % 0.34/0.56 (define @t1256 () (not @t1255)) % 0.34/0.56 (define @t1257 () (or @t1219 @t1256)) % 0.34/0.56 (define @t1258 () (not @t1219)) % 0.34/0.56 (define @t1259 () (=> tptp.emptyE1 @t1244)) % 0.34/0.56 (define @t1260 () (=> tptp.upairsetIR @t1259)) % 0.34/0.56 (define @t1261 () (=> tptp.upairsetIL @t1260)) % 0.34/0.56 (define @t1262 () (not @t293)) % 0.34/0.56 (define @t1263 () (or @t1262 @t618 @t617)) % 0.34/0.56 (define @t1264 () (or @t618 @t617)) % 0.34/0.56 (define @t1265 () (=> tptp.upairsetE @t1261)) % 0.34/0.56 (define @t1266 () (not @t276)) % 0.34/0.56 (define @t1267 () (or @t1266 @t280)) % 0.34/0.56 (define @t1268 () (=> tptp.singletonsswitch @t1265)) % 0.34/0.56 (define @t1269 () (or @t1038 @t628)) % 0.34/0.56 (define @t1270 () (or @t282 @t282 @t624)) % 0.34/0.56 (define @t1271 () (or @t282 @t624)) % 0.34/0.56 (define @t1272 () (forall @t9 @t1271)) % 0.34/0.56 (define @t1273 () (forall @t70 @t1272)) % 0.34/0.56 (define @t1274 () (forall @t1044 @t1271)) % 0.34/0.56 (define @t1275 () (or @t282 @t276)) % 0.34/0.56 (define @t1276 () (=> tptp.eqinunit @t1268)) % 0.34/0.56 (define @t1277 () (or @t129 @t281)) % 0.34/0.56 (define @t1278 () (=> tptp.notinsingleton @t1276)) % 0.34/0.56 (define @t1279 () (or @t1266 @t129)) % 0.34/0.56 (define @t1280 () (=> tptp.uniqinunit @t1278)) % 0.34/0.56 (define @t1281 () (not @t196)) % 0.34/0.56 (define @t1282 () (not @t198)) % 0.34/0.56 (define @t1283 () (_ @t518 @t2)) % 0.34/0.56 (define @t1284 () (=> @t1283 @t270)) % 0.34/0.56 (define @t1285 () (forall @t64 @t1284)) % 0.34/0.56 (define @t1286 () (=> tptp.nonemptyImpWitness @t1280)) % 0.34/0.56 (define @t1287 () (or @t551 (= @t639 @t19))) % 0.34/0.56 (define @t1288 () (forall @t70 @t1287)) % 0.34/0.56 (define @t1289 () (not @t1288)) % 0.34/0.56 (define @t1290 () (or @t643 @t640 @t1289)) % 0.34/0.56 (define @t1291 () (or @t640 @t1289)) % 0.34/0.56 (define @t1292 () (or @t1291 @t643)) % 0.34/0.56 (define @t1293 () (forall @t644 @t1292)) % 0.34/0.56 (define @t1294 () (@list @t639)) % 0.34/0.56 (define @t1295 () (forall @t1294 @t1292)) % 0.34/0.56 (define @t1296 () (forall @t1294 @t1291)) % 0.34/0.56 (define @t1297 () (or @t1296 @t643)) % 0.34/0.56 (define @t1298 () (=> @t1036 @t265)) % 0.34/0.56 (define @t1299 () (forall @t150 @t1298)) % 0.34/0.56 (define @t1300 () (=> tptp.exuE2 @t1286)) % 0.34/0.56 (define @t1301 () (or @t197 @t260)) % 0.34/0.56 (define @t1302 () (=> tptp.subPowSU @t1300)) % 0.34/0.56 (define @t1303 () (not @t44)) % 0.34/0.56 (define @t1304 () (or @t1303 @t655)) % 0.34/0.56 (define @t1305 () (not false)) % 0.34/0.56 (define @t1306 () (and @t1305 @t655)) % 0.34/0.56 (define @t1307 () (or @t1306 false)) % 0.34/0.56 (define @t1308 () (and @t1227 @t655)) % 0.34/0.56 (define @t1309 () (not (= @t173 false))) % 0.34/0.56 (define @t1310 () (or @t173 @t1308 @t173)) % 0.34/0.56 (define @t1311 () (or @t1308 @t173)) % 0.34/0.56 (define @t1312 () (or @t173 @t654)) % 0.34/0.56 (define @t1313 () (not @t39)) % 0.34/0.56 (define @t1314 () (or @t432 @t1313)) % 0.34/0.56 (define @t1315 () (forall @t41 @t1314)) % 0.34/0.56 (define @t1316 () (or @t173 @t1315)) % 0.34/0.56 (define @t1317 () (or @t173 @t1314)) % 0.34/0.56 (define @t1318 () (or @t432 @t1313 @t173)) % 0.34/0.56 (define @t1319 () (=> tptp.setunionE @t1302)) % 0.34/0.56 (define @t1320 () (or @t432 @t1313 @t44)) % 0.34/0.56 (define @t1321 () (=> tptp.setunionI @t1319)) % 0.34/0.56 (define @t1322 () (not @t35)) % 0.34/0.56 (define @t1323 () (or @t1322 @t432 @t7)) % 0.34/0.56 (define @t1324 () (or @t432 @t7)) % 0.34/0.56 (define @t1325 () (=> tptp.powersetE @t1321)) % 0.34/0.56 (define @t1326 () (=> tptp.emptyInPowerset @t1325)) % 0.34/0.56 (define @t1327 () (=> tptp.emptyinPowerset @t1326)) % 0.34/0.56 (define @t1328 () (or @t670 @t35)) % 0.34/0.56 (define @t1329 () (=> tptp.powersetI @t1327)) % 0.34/0.56 (define @t1330 () (_ @t155 @t674)) % 0.34/0.56 (define @t1331 () (= @t2 @t1330)) % 0.34/0.56 (define @t1332 () (=> tptp.setoftrueEq @t1329)) % 0.34/0.56 (define @t1333 () (not @t26)) % 0.34/0.56 (define @t1334 () (or @t1333 @t129 @t21)) % 0.34/0.56 (define @t1335 () (or @t129 @t21)) % 0.34/0.56 (define @t1336 () (=> tptp.setadjoinOr @t1332)) % 0.34/0.56 (define @t1337 () (or @t1333 @t129 @t678)) % 0.34/0.56 (define @t1338 () (and @t678 @t1305)) % 0.34/0.56 (define @t1339 () (and @t129 @t1305)) % 0.34/0.56 (define @t1340 () (or @t1339 @t1338)) % 0.34/0.56 (define @t1341 () (or @t1339 @t1338 false)) % 0.34/0.56 (define @t1342 () (and @t678 @t1227)) % 0.34/0.56 (define @t1343 () (and @t129 @t1227)) % 0.34/0.56 (define @t1344 () (or @t173 @t1343 @t1342 @t173)) % 0.34/0.56 (define @t1345 () (or @t1343 @t1342 @t173)) % 0.34/0.56 (define @t1346 () (and @t21 @t1227)) % 0.34/0.56 (define @t1347 () (or @t1343 @t1346 @t173)) % 0.34/0.56 (define @t1348 () (=> @t129 @t173)) % 0.34/0.56 (define @t1349 () (=> tptp.setadjoinE @t1336)) % 0.34/0.56 (define @t1350 () (not @t21)) % 0.34/0.56 (define @t1351 () (or @t1350 @t26)) % 0.34/0.56 (define @t1352 () (=> tptp.setadjoinIR @t1349)) % 0.34/0.56 (define @t1353 () (=> tptp.emptyinunitempty @t1352)) % 0.34/0.56 (define @t1354 () (=> tptp.setadjoinIL @t1353)) % 0.34/0.56 (define @t1355 () (not @t378)) % 0.34/0.56 (define @t1356 () (or @t695 @t1355)) % 0.34/0.56 (define @t1357 () (not (tptp.in @t694 @t2))) % 0.34/0.56 (define @t1358 () (or @t1281 @t1357 @t1281)) % 0.34/0.56 (define @t1359 () (or @t1357 @t1281)) % 0.34/0.56 (define @t1360 () (forall @t64 @t1359)) % 0.34/0.56 (define @t1361 () (forall @t696 @t1360)) % 0.34/0.56 (define @t1362 () (forall (@list @t694 @t2) @t1359)) % 0.34/0.56 (define @t1363 () (forall (@list @t2 @t694) @t1359)) % 0.34/0.56 (define @t1364 () (forall @t696 @t1359)) % 0.34/0.56 (define @t1365 () (forall @t696 @t1357)) % 0.34/0.56 (define @t1366 () (or @t1365 @t1281)) % 0.34/0.56 (define @t1367 () (not @t636)) % 0.34/0.56 (define @t1368 () (=> @t89 @t1283)) % 0.34/0.56 (define @t1369 () (forall @t64 @t1368)) % 0.34/0.56 (define @t1370 () (=> tptp.nonemptyI1 @t1354)) % 0.34/0.56 (define @t1371 () (lambda @t70 @t550)) % 0.34/0.56 (define @t1372 () (tptp.dsetconstr @t2 @t1371)) % 0.34/0.56 (define @t1373 () (= tptp.emptyset @t1372)) % 0.34/0.56 (define @t1374 () (not @t1373)) % 0.34/0.56 (define @t1375 () (or @t520 @t576 @t1374)) % 0.34/0.56 (define @t1376 () (= tptp.emptyset @t156)) % 0.34/0.56 (define @t1377 () (not @t1376)) % 0.34/0.56 (define @t1378 () (or @t197 @t315 @t1377)) % 0.34/0.56 (define @t1379 () (=> @t144 @t1377)) % 0.34/0.56 (define @t1380 () (not (= @t156 tptp.emptyset))) % 0.34/0.56 (define @t1381 () (_ @t518 @t156)) % 0.34/0.56 (define @t1382 () (=> @t144 @t1381)) % 0.34/0.56 (define @t1383 () (=> @t7 @t1382)) % 0.34/0.56 (define @t1384 () (forall @t159 @t1383)) % 0.34/0.56 (define @t1385 () (=> tptp.nonemptyI @t1370)) % 0.34/0.56 (define @t1386 () (=> @t1283 @t89)) % 0.34/0.56 (define @t1387 () (forall @t64 @t1386)) % 0.34/0.56 (define @t1388 () (=> tptp.nonemptyE1 @t1385)) % 0.34/0.56 (define @t1389 () (tptp.in @t4 @t1372)) % 0.34/0.56 (define @t1390 () (= @t575 @t1389)) % 0.34/0.56 (define @t1391 () (or @t520 @t1390)) % 0.34/0.56 (define @t1392 () (= @t144 @t157)) % 0.34/0.56 (define @t1393 () (or @t197 @t1392)) % 0.34/0.56 (define @t1394 () (=> tptp.setbeta @t1388)) % 0.34/0.56 (define @t1395 () (=> tptp.noeltsimpempty @t1394)) % 0.34/0.56 (define @t1396 () (=> tptp.emptyI @t1395)) % 0.34/0.56 (define @t1397 () (=> @t669 @t3)) % 0.34/0.56 (define @t1398 () (=> tptp.setext @t1396)) % 0.34/0.56 (define @t1399 () (or @t551 (= @t711 @t19))) % 0.34/0.56 (define @t1400 () (forall @t70 @t1399)) % 0.34/0.56 (define @t1401 () (not @t1400)) % 0.34/0.56 (define @t1402 () (or @t714 @t712 @t1401)) % 0.34/0.56 (define @t1403 () (or @t712 @t1401)) % 0.34/0.56 (define @t1404 () (or @t1403 @t714)) % 0.34/0.56 (define @t1405 () (forall @t715 @t1404)) % 0.34/0.56 (define @t1406 () (@list @t711)) % 0.34/0.56 (define @t1407 () (forall @t1406 @t1404)) % 0.34/0.56 (define @t1408 () (forall @t1406 @t1403)) % 0.34/0.56 (define @t1409 () (or @t1408 @t714)) % 0.34/0.56 (define @t1410 () (=> @t1036 @t186)) % 0.34/0.56 (define @t1411 () (forall @t150 @t1410)) % 0.34/0.56 (define @t1412 () (=> tptp.exuE3e @t1398)) % 0.34/0.56 (define @t1413 () (=> tptp.notinemptyset @t1412)) % 0.34/0.56 (define @t1414 () (=> tptp.emptysetimpfalse @t1413)) % 0.34/0.56 (define @t1415 () (or @t173 @t173)) % 0.34/0.56 (define @t1416 () (=> tptp.emptysetE @t1414)) % 0.34/0.56 (define @t1417 () (or @t722 false)) % 0.34/0.56 (define @t1418 () (tptp.in @t4 @t1225)) % 0.34/0.56 (define @t1419 () (not @t1418)) % 0.34/0.56 (define @t1420 () (or @t173 @t1419 @t173)) % 0.34/0.56 (define @t1421 () (or @t1419 @t173)) % 0.34/0.56 (define @t1422 () (forall @t179 @t1421)) % 0.34/0.56 (define @t1423 () (forall @t9 @t1422)) % 0.34/0.56 (define @t1424 () (forall (@list @t4 @t173) @t1421)) % 0.34/0.56 (define @t1425 () (not @t175)) % 0.34/0.56 (define @t1426 () (or @t1425 @t173)) % 0.34/0.56 (define @t1427 () (=> tptp.prop2setE @t1416)) % 0.34/0.56 (define @t1428 () (=> @t1036 @t169)) % 0.34/0.56 (define @t1429 () (forall @t150 @t1428)) % 0.34/0.56 (define @t1430 () (=> tptp.exuE1 @t1427)) % 0.34/0.56 (define @t1431 () (not @t1389)) % 0.34/0.56 (define @t1432 () (or @t1431 @t575)) % 0.34/0.56 (define @t1433 () (not @t157)) % 0.34/0.56 (define @t1434 () (or @t1433 @t144)) % 0.34/0.56 (define @t1435 () (=> tptp.dsetconstrER @t1430)) % 0.34/0.56 (define @t1436 () (or @t1431 @t519)) % 0.34/0.56 (define @t1437 () (or @t1433 @t7)) % 0.34/0.56 (define @t1438 () (=> tptp.dsetconstrEL @t1435)) % 0.34/0.56 (define @t1439 () (or @t520 @t576 @t1389)) % 0.34/0.56 (define @t1440 () (or @t197 @t315 @t157)) % 0.34/0.56 (define @t1441 () (=> tptp.dsetconstrI @t1438)) % 0.34/0.56 (define @t1442 () (or @t551 (= @t732 @t19))) % 0.34/0.56 (define @t1443 () (forall @t70 @t1442)) % 0.34/0.56 (define @t1444 () (not @t1443)) % 0.34/0.56 (define @t1445 () (or @t734 @t733 @t1444)) % 0.34/0.56 (define @t1446 () (or @t733 @t1444)) % 0.34/0.56 (define @t1447 () (or @t1446 @t734)) % 0.34/0.56 (define @t1448 () (forall @t735 @t1447)) % 0.34/0.56 (define @t1449 () (@list @t732)) % 0.34/0.56 (define @t1450 () (forall @t1449 @t1447)) % 0.34/0.56 (define @t1451 () (forall @t1449 @t1446)) % 0.34/0.56 (define @t1452 () (or @t1451 @t734)) % 0.34/0.56 (define @t1453 () (_ @t143 @t998)) % 0.34/0.56 (define @t1454 () (or @t577 @t1453)) % 0.34/0.56 (define @t1455 () (or @t577 @t147)) % 0.34/0.56 (define @t1456 () (=> @t1036 @t147)) % 0.34/0.56 (define @t1457 () (forall @t150 @t1456)) % 0.34/0.56 (define @t1458 () (=> tptp.descrp @t1441)) % 0.34/0.56 (define @t1459 () (and @t785 @t778 @t774 @t762)) % 0.34/0.56 (define @t1460 () (forall @t41 (not @t1459))) % 0.34/0.56 (define @t1461 () (not @t1460)) % 0.34/0.56 (define @t1462 () (@list @t757)) % 0.34/0.56 (define @t1463 () (forall @t1462 @t761)) % 0.34/0.56 (define @t1464 () (forall @t1462 @t758)) % 0.34/0.56 (define @t1465 () (or @t760 @t1464 @t756)) % 0.34/0.56 (define @t1466 () (forall @t9 @t753)) % 0.34/0.56 (define @t1467 () (or @t760 @t1466 @t756)) % 0.34/0.56 (define @t1468 () (not @t1466)) % 0.34/0.56 (define @t1469 () (and @t759 @t1468)) % 0.34/0.56 (define @t1470 () (not @t109)) % 0.34/0.56 (define @t1471 () (not @t110)) % 0.34/0.56 (define @t1472 () (or @t1471 @t1470 @t751 @t747)) % 0.34/0.56 (define @t1473 () (and @t110 @t109 @t750 @t746)) % 0.34/0.56 (define @t1474 () (forall @t112 (not @t1473))) % 0.34/0.56 (define @t1475 () (not @t1474)) % 0.34/0.56 (define @t1476 () (or @t740 @t739)) % 0.34/0.56 (define @t1477 () (or @t743 @t1476 @t741)) % 0.34/0.56 (define @t1478 () (forall @t745 @t1477)) % 0.34/0.56 (define @t1479 () (@list @t738)) % 0.34/0.56 (define @t1480 () (forall @t1479 @t1477)) % 0.34/0.56 (define @t1481 () (forall @t1479 @t1476)) % 0.34/0.56 (define @t1482 () (or @t743 @t1481 @t741)) % 0.34/0.56 (define @t1483 () (tptp.in @t19 @t93)) % 0.34/0.56 (define @t1484 () (forall @t70 (or (not @t1483) @t749))) % 0.34/0.56 (define @t1485 () (not @t100)) % 0.34/0.56 (define @t1486 () (or @t1485 @t1484 @t94)) % 0.34/0.56 (define @t1487 () (or @t1484 @t94)) % 0.34/0.56 (define @t1488 () (not @t97)) % 0.34/0.56 (define @t1489 () (or @t1488 @t96)) % 0.34/0.56 (define @t1490 () (not @t105)) % 0.34/0.56 (define @t1491 () (not @t96)) % 0.34/0.56 (define @t1492 () (or @t1491 @t1490)) % 0.34/0.56 (define @t1493 () (forall @t70 (not @t106))) % 0.34/0.56 (define @t1494 () (not @t1493)) % 0.34/0.56 (define @t1495 () (forall @t9 @t1470)) % 0.34/0.56 (define @t1496 () (not @t1495)) % 0.34/0.56 (define @t1497 () (or @t1470 @t7)) % 0.34/0.56 (define @t1498 () (or @t766 @t765)) % 0.34/0.56 (define @t1499 () (or @t769 @t768)) % 0.34/0.56 (define @t1500 () (or @t771 @t755 @t1499 @t1498)) % 0.34/0.56 (define @t1501 () (forall @t773 @t1500)) % 0.34/0.56 (define @t1502 () (forall (@list @t767 @t764) @t1500)) % 0.34/0.56 (define @t1503 () (forall (@list @t764) @t1498)) % 0.34/0.56 (define @t1504 () (forall (@list @t767) @t1499)) % 0.34/0.56 (define @t1505 () (or @t771 @t755 @t1504 @t1503)) % 0.34/0.56 (define @t1506 () (tptp.in @t4 @t95)) % 0.34/0.56 (define @t1507 () (forall @t9 (or (not @t1506) @t752))) % 0.34/0.56 (define @t1508 () (forall @t9 (or @t753 @t1506))) % 0.34/0.56 (define @t1509 () (not @t124)) % 0.34/0.56 (define @t1510 () (or @t1509 @t1471 @t1508 @t1507)) % 0.34/0.56 (define @t1511 () (or @t1508 @t1507)) % 0.34/0.56 (define @t1512 () (not @t120)) % 0.34/0.56 (define @t1513 () (or @t1512 @t109)) % 0.34/0.56 (define @t1514 () (or @t1470 @t120)) % 0.34/0.56 (define @t1515 () (or @t197 @t1350 @t777 @t129)) % 0.34/0.56 (define @t1516 () (=> @t776 @t129)) % 0.34/0.56 (define @t1517 () (or @t1509 @t130)) % 0.34/0.56 (define @t1518 () (or @t782 @t781)) % 0.34/0.56 (define @t1519 () (or @t771 @t1518)) % 0.34/0.56 (define @t1520 () (forall @t784 @t1519)) % 0.34/0.56 (define @t1521 () (@list @t780)) % 0.34/0.56 (define @t1522 () (forall @t1521 @t1519)) % 0.34/0.56 (define @t1523 () (forall @t1521 @t1518)) % 0.34/0.56 (define @t1524 () (or @t771 @t1523)) % 0.34/0.56 (define @t1525 () (or @t1509 @t759)) % 0.34/0.56 (define @t1526 () (=> tptp.wellorderingAx @t1458)) % 0.34/0.56 (define @t1527 () (@list @t793)) % 0.34/0.56 (define @t1528 () (forall @t1527 @t795)) % 0.34/0.56 (define @t1529 () (forall @t1527 @t794)) % 0.34/0.56 (define @t1530 () (or @t1529 @t792)) % 0.34/0.56 (define @t1531 () (or @t1313 @t791)) % 0.34/0.56 (define @t1532 () (and @t39 @t790)) % 0.34/0.56 (define @t1533 () (forall @t41 (not @t1532))) % 0.34/0.56 (define @t1534 () (not @t1533)) % 0.34/0.56 (define @t1535 () (or @t432 @t197)) % 0.34/0.56 (define @t1536 () (forall @t9 (not @t84))) % 0.34/0.56 (define @t1537 () (not @t1536)) % 0.34/0.56 (define @t1538 () (=> tptp.foundationAx @t1526)) % 0.34/0.56 (define @t1539 () (= @t6 @t799)) % 0.34/0.56 (define @t1540 () (not @t68)) % 0.34/0.56 (define @t1541 () (or @t1350 @t1540)) % 0.34/0.56 (define @t1542 () (forall @t70 (not @t69))) % 0.34/0.56 (define @t1543 () (not @t1542)) % 0.34/0.56 (define @t1544 () (or @t197 @t808)) % 0.34/0.56 (define @t1545 () (_ @t75 @t802)) % 0.34/0.56 (define @t1546 () (not @t1545)) % 0.34/0.56 (define @t1547 () (or @t1546 @t805)) % 0.34/0.56 (define @t1548 () (not @t76)) % 0.34/0.56 (define @t1549 () (or @t1548 @t803)) % 0.34/0.56 (define @t1550 () (_ @t77 @t19)) % 0.34/0.56 (define @t1551 () (not @t1550)) % 0.34/0.56 (define @t1552 () (or @t1551 @t803)) % 0.34/0.56 (define @t1553 () (forall @t70 @t1552)) % 0.34/0.56 (define @t1554 () (not @t1553)) % 0.34/0.56 (define @t1555 () (_ @t77 @t802)) % 0.34/0.56 (define @t1556 () (not @t1555)) % 0.34/0.56 (define @t1557 () (or @t1556 @t1554)) % 0.34/0.56 (define @t1558 () (forall @t807 @t1557)) % 0.34/0.56 (define @t1559 () (not @t1558)) % 0.34/0.56 (define @t1560 () (not (_ @t143 @t802))) % 0.34/0.56 (define @t1561 () (or @t551 (= @t802 @t19))) % 0.34/0.56 (define @t1562 () (forall @t70 @t1561)) % 0.34/0.56 (define @t1563 () (not @t1562)) % 0.34/0.56 (define @t1564 () (or @t1560 @t1563)) % 0.34/0.56 (define @t1565 () (forall @t807 @t1564)) % 0.34/0.56 (define @t1566 () (not @t1565)) % 0.34/0.56 (define @t1567 () (=> @t7 (_ @t1020 @t77))) % 0.34/0.56 (define @t1568 () (forall @t9 @t1567)) % 0.34/0.56 (define @t1569 () (=> @t1568 @t74)) % 0.34/0.56 (define @t1570 () (forall @t81 @t1569)) % 0.34/0.56 (define @t1571 () (=> tptp.replAx @t1538)) % 0.34/0.56 (define @t1572 () (or @t814 @t813)) % 0.34/0.56 (define @t1573 () (or @t822 @t820 @t1572)) % 0.34/0.56 (define @t1574 () (forall @t824 @t1573)) % 0.34/0.56 (define @t1575 () (@list @t812)) % 0.34/0.56 (define @t1576 () (forall @t1575 @t1573)) % 0.34/0.56 (define @t1577 () (forall @t1575 @t1572)) % 0.34/0.56 (define @t1578 () (or @t822 @t820 @t1577)) % 0.34/0.56 (define @t1579 () (forall @t9 (or @t818 @t519))) % 0.34/0.56 (define @t1580 () (not @t61)) % 0.34/0.56 (define @t1581 () (or @t1580 @t820 @t1579)) % 0.34/0.56 (define @t1582 () (and @t61 @t819)) % 0.34/0.56 (define @t1583 () (not @t54)) % 0.34/0.56 (define @t1584 () (or @t1583 @t7)) % 0.34/0.56 (define @t1585 () (_ tptp.in @t815)) % 0.34/0.56 (define @t1586 () (or @t1583 @t197 @t58)) % 0.34/0.56 (define @t1587 () (=> tptp.omegaIndAx @t1571)) % 0.34/0.56 (define @t1588 () (or @t1583 @t53)) % 0.34/0.56 (define @t1589 () (=> tptp.omegaSAx @t1587)) % 0.34/0.56 (define @t1590 () (=> tptp.omega0Ax @t1589)) % 0.34/0.56 (define @t1591 () (= @t44 @t655)) % 0.34/0.56 (define @t1592 () (forall @t41 (not @t40))) % 0.34/0.56 (define @t1593 () (not @t1592)) % 0.34/0.56 (define @t1594 () (=> tptp.setunionAx @t1590)) % 0.34/0.56 (define @t1595 () (= @t35 @t669)) % 0.34/0.56 (define @t1596 () (=> tptp.powersetAx @t1594)) % 0.34/0.56 (define @t1597 () (= @t26 @t1335)) % 0.34/0.56 (define @t1598 () (=> tptp.setadjoinAx @t1596)) % 0.34/0.56 (define @t1599 () (=> tptp.emptysetAx @t1598)) % 0.34/0.56 (define @t1600 () (=> tptp.setextAx @t1599)) % 0.34/0.56 (define @t1601 () (or @t910 @t6 @t197)) % 0.34/0.56 (define @t1602 () (@list false)) % 0.34/0.56 (assume @p1 @t14) % 0.34/0.56 (assume @p2 @t18) % 0.34/0.56 (assume @p3 @t30) % 0.34/0.56 (assume @p4 @t38) % 0.34/0.56 (assume @p5 @t48) % 0.34/0.56 (assume @p6 (= tptp.omega0Ax @t50)) % 0.34/0.56 (assume @p7 @t56) % 0.34/0.56 (assume @p8 @t66) % 0.34/0.56 (assume @p9 @t83) % 0.34/0.56 (assume @p10 @t92) % 0.34/0.56 (assume @p11 @t142) % 0.34/0.56 (assume @p12 @t152) % 0.34/0.56 (assume @p13 @t161) % 0.34/0.56 (assume @p14 @t163) % 0.34/0.56 (assume @p15 @t165) % 0.34/0.56 (assume @p16 @t172) % 0.34/0.56 (assume @p17 @t178) % 0.34/0.56 (assume @p18 @t183) % 0.34/0.56 (assume @p19 @t185) % 0.34/0.56 (assume @p20 (= tptp.notinemptyset @t17)) % 0.34/0.56 (assume @p21 @t189) % 0.34/0.56 (assume @p22 @t195) % 0.34/0.56 (assume @p23 @t201) % 0.34/0.56 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.34/0.56 (assume @p25 @t204) % 0.34/0.56 (assume @p26 @t208) % 0.34/0.56 (assume @p27 @t212) % 0.34/0.56 (assume @p28 @t215) % 0.34/0.56 (assume @p29 @t219) % 0.34/0.56 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.34/0.56 (assume @p31 @t223) % 0.34/0.56 (assume @p32 @t231) % 0.34/0.56 (assume @p33 @t234) % 0.34/0.56 (assume @p34 @t238) % 0.34/0.56 (assume @p35 @t241) % 0.34/0.56 (assume @p36 @t244) % 0.34/0.56 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.34/0.56 (assume @p38 @t247) % 0.34/0.56 (assume @p39 @t251) % 0.34/0.56 (assume @p40 @t258) % 0.34/0.56 (assume @p41 @t262) % 0.34/0.56 (assume @p42 @t268) % 0.34/0.56 (assume @p43 @t273) % 0.34/0.56 (assume @p44 @t278) % 0.34/0.56 (assume @p45 @t284) % 0.34/0.56 (assume @p46 @t286) % 0.34/0.56 (assume @p47 @t288) % 0.34/0.56 (assume @p48 @t297) % 0.34/0.56 (assume @p49 @t300) % 0.34/0.56 (assume @p50 @t303) % 0.34/0.56 (assume @p51 @t311) % 0.34/0.56 (assume @p52 @t314) % 0.34/0.56 (assume @p53 @t322) % 0.34/0.56 (assume @p54 @t327) % 0.34/0.56 (assume @p55 @t330) % 0.34/0.56 (assume @p56 @t333) % 0.34/0.56 (assume @p57 @t336) % 0.34/0.56 (assume @p58 @t339) % 0.34/0.56 (assume @p59 (= tptp.notdexE @t329)) % 0.34/0.56 (assume @p60 (= tptp.notdallE @t321)) % 0.34/0.56 (assume @p61 @t342) % 0.34/0.56 (assume @p62 @t347) % 0.34/0.56 (assume @p63 @t350) % 0.34/0.56 (assume @p64 @t356) % 0.34/0.56 (assume @p65 @t361) % 0.34/0.56 (assume @p66 @t364) % 0.34/0.56 (assume @p67 @t377) % 0.34/0.56 (assume @p68 @t379) % 0.34/0.56 (assume @p69 @t389) % 0.34/0.56 (assume @p70 @t393) % 0.34/0.56 (assume @p71 @t397) % 0.34/0.56 (assume @p72 @t398) % 0.34/0.56 (assume @p73 @t399) % 0.34/0.56 (assume @p74 @t406) % 0.34/0.56 (assume @p75 @t417) % 0.34/0.56 (assume @p76 @t421) % 0.34/0.56 (assume @p77 @t424) % 0.34/0.56 (assume @p78 @t426) % 0.34/0.56 (assume @p79 (= tptp.subsetI2 @t420)) % 0.34/0.56 (assume @p80 @t429) % 0.34/0.56 (assume @p81 @t431) % 0.34/0.56 (assume @p82 @t516) % 0.34/0.56 (assume @p83 true) % 0.34/0.56 (step @p84 (= tptp.exu @t517) :rule refl :args (@t517)) % 0.34/0.56 (step @p85 (= tptp.nonempty @t518) :rule refl :args (@t518)) % 0.34/0.56 (step @p86 :rule refl :args (@t590)) % 0.34/0.56 (step @p87 :rule skolem_intro :args ((@purify true))) % 0.34/0.56 (step @p88 :rule symm :premises (@p87)) % 0.34/0.56 (step @p89 :rule cong :premises (@p88) :args (@t591)) % 0.34/0.56 (step @p90 :rule cong :premises (@p89) :args (@t592)) % 0.34/0.56 (step @p91 :rule cong :premises (@p90 @p86) :args (@t593)) % 0.34/0.56 (step @p92 :rule refl :args (tptp.emptyset)) % 0.34/0.56 (step @p93 :rule cong :premises (@p92 @p89) :args (@t594)) % 0.34/0.56 (step @p94 :rule cong :premises (@p93 @p91) :args (@t595)) % 0.34/0.56 (step @p95 :rule refl :args (@t598)) % 0.34/0.56 (step @p96 :rule cong :premises (@p95 @p94) :args (@t599)) % 0.34/0.56 (step @p97 :rule refl :args (@t607)) % 0.34/0.56 (step @p98 :rule cong :premises (@p97 @p96) :args (@t608)) % 0.34/0.56 (step @p99 :rule refl :args (@t612)) % 0.34/0.56 (step @p100 :rule cong :premises (@p99 @p98) :args (@t613)) % 0.34/0.56 (step @p101 :rule refl :args (@t615)) % 0.34/0.56 (step @p102 :rule cong :premises (@p101 @p100) :args (@t616)) % 0.34/0.56 (step @p103 :rule refl :args (@t620)) % 0.34/0.56 (step @p104 :rule cong :premises (@p103 @p102) :args (@t621)) % 0.34/0.56 (step @p105 :rule refl :args (@t626)) % 0.34/0.56 (step @p106 :rule cong :premises (@p105 @p104) :args (@t627)) % 0.34/0.56 (step @p107 :rule refl :args (@t629)) % 0.34/0.56 (step @p108 :rule cong :premises (@p107 @p106) :args (@t630)) % 0.34/0.56 (step @p109 :rule refl :args (@t631)) % 0.34/0.56 (step @p110 :rule cong :premises (@p109 @p108) :args (@t632)) % 0.34/0.56 (step @p111 :rule refl :args (@t633)) % 0.34/0.56 (step @p112 :rule cong :premises (@p111 @p110) :args (@t634)) % 0.34/0.56 (step @p113 :rule refl :args (@t637)) % 0.34/0.56 (step @p114 :rule cong :premises (@p113 @p112) :args (@t638)) % 0.34/0.56 (step @p115 :rule refl :args (@t645)) % 0.34/0.56 (step @p116 :rule cong :premises (@p115 @p114) :args (@t646)) % 0.34/0.56 (step @p117 :rule refl :args (@t650)) % 0.34/0.56 (step @p118 :rule cong :premises (@p117 @p116) :args (@t651)) % 0.34/0.56 (step @p119 :rule refl :args (@t657)) % 0.34/0.56 (step @p120 :rule cong :premises (@p119 @p118) :args (@t658)) % 0.34/0.56 (step @p121 :rule refl :args (@t659)) % 0.34/0.56 (step @p122 :rule cong :premises (@p121 @p120) :args (@t660)) % 0.34/0.56 (step @p123 :rule refl :args (@t663)) % 0.34/0.56 (step @p124 :rule cong :premises (@p123 @p122) :args (@t664)) % 0.34/0.56 (step @p125 :rule refl :args (@t666)) % 0.34/0.56 (step @p126 :rule cong :premises (@p125 @p124) :args (@t667)) % 0.34/0.56 (step @p127 :rule cong :premises (@p125 @p126) :args (@t668)) % 0.34/0.56 (step @p128 :rule refl :args (@t671)) % 0.34/0.56 (step @p129 :rule cong :premises (@p128 @p127) :args (@t672)) % 0.34/0.56 (step @p130 :rule refl :args (@t676)) % 0.34/0.56 (step @p131 :rule cong :premises (@p130 @p129) :args (@t677)) % 0.34/0.56 (step @p132 :rule refl :args (@t681)) % 0.34/0.56 (step @p133 :rule cong :premises (@p132 @p131) :args (@t682)) % 0.34/0.56 (step @p134 :rule cong :premises (@p132 @p133) :args (@t683)) % 0.34/0.56 (step @p135 :rule refl :args (@t685)) % 0.34/0.56 (step @p136 :rule cong :premises (@p135 @p134) :args (@t686)) % 0.34/0.56 (step @p137 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 0.34/0.56 (step @p138 :rule refl :args (@t687)) % 0.34/0.56 (step @p139 :rule refl :args (tptp.emptyset)) % 0.34/0.56 (step @p140 :rule cong :premises (@p139 @p138) :args (@t688)) % 0.34/0.56 (step @p141 :rule trans :premises (@p140 @p137)) % 0.34/0.56 (step @p142 :rule refl :args (@t49)) % 0.34/0.56 (step @p143 :rule ho_cong :premises (@p142 @p138)) % 0.34/0.56 (step @p144 :rule cong :premises (@p143 @p141) :args ((= (_ @t49 @t687) @t688))) % 0.34/0.56 (step @p145 :rule symm :premises (@p144)) % 0.34/0.56 (step @p146 :rule refl :args (@t221)) % 0.34/0.56 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.34/0.56 (step @p148 :rule refl :args (@t220)) % 0.34/0.56 (step @p149 :rule cong :premises (@p148 @p138) :args ((= @t220 @t687))) % 0.34/0.56 (step @p150 :rule symm :premises (@p149)) % 0.34/0.56 (step @p151 :rule eq_resolve :premises (@p148 @p150)) % 0.34/0.56 (step @p152 :rule refl :args (@t49)) % 0.34/0.56 (step @p153 :rule ho_cong :premises (@p152 @p151)) % 0.34/0.56 (step @p154 :rule trans :premises (@p153 @p147)) % 0.34/0.56 (step @p155 :rule cong :premises (@p154 @p136) :args (@t689)) % 0.34/0.56 (step @p156 :rule refl :args (@t692)) % 0.34/0.56 (step @p157 :rule cong :premises (@p156 @p155) :args (@t693)) % 0.34/0.56 (step @p158 :rule refl :args (@t697)) % 0.34/0.56 (step @p159 :rule cong :premises (@p158 @p157) :args (@t698)) % 0.34/0.56 (step @p160 :rule refl :args (@t699)) % 0.34/0.56 (step @p161 :rule cong :premises (@p160 @p159) :args (@t700)) % 0.34/0.56 (step @p162 :rule cong :premises (@p113 @p161) :args (@t701)) % 0.34/0.56 (step @p163 :rule refl :args (@t703)) % 0.34/0.56 (step @p164 :rule cong :premises (@p163 @p162) :args (@t704)) % 0.34/0.56 (step @p165 :rule refl :args (@t705)) % 0.34/0.56 (step @p166 :rule cong :premises (@p165 @p164) :args (@t706)) % 0.34/0.56 (step @p167 :rule cong :premises (@p165 @p166) :args (@t707)) % 0.34/0.56 (step @p168 :rule refl :args (@t709)) % 0.34/0.56 (step @p169 :rule cong :premises (@p168 @p167) :args (@t710)) % 0.34/0.56 (step @p170 :rule refl :args (@t716)) % 0.34/0.56 (step @p171 :rule cong :premises (@p170 @p169) :args (@t717)) % 0.34/0.56 (step @p172 :rule refl :args (@t718)) % 0.34/0.56 (step @p173 :rule cong :premises (@p172 @p171) :args (@t719)) % 0.34/0.56 (step @p174 :rule cong :premises (@p172 @p173) :args (@t720)) % 0.34/0.56 (step @p175 :rule cong :premises (@p172 @p174) :args (@t721)) % 0.34/0.56 (step @p176 :rule refl :args (@t723)) % 0.34/0.56 (step @p177 :rule cong :premises (@p176 @p175) :args (@t724)) % 0.34/0.56 (step @p178 :rule refl :args (@t726)) % 0.34/0.56 (step @p179 :rule cong :premises (@p178 @p177) :args (@t727)) % 0.34/0.56 (step @p180 :rule refl :args (@t728)) % 0.34/0.56 (step @p181 :rule cong :premises (@p180 @p179) :args (@t729)) % 0.34/0.56 (step @p182 :rule refl :args (@t730)) % 0.34/0.56 (step @p183 :rule cong :premises (@p182 @p181) :args (@t731)) % 0.34/0.56 (step @p184 :rule refl :args (@t736)) % 0.34/0.56 (step @p185 :rule cong :premises (@p184 @p183) :args (@t737)) % 0.34/0.56 (step @p186 :rule refl :args (@t788)) % 0.34/0.56 (step @p187 :rule cong :premises (@p186 @p185) :args (@t789)) % 0.34/0.56 (step @p188 :rule refl :args (@t796)) % 0.34/0.56 (step @p189 :rule cong :premises (@p188 @p187) :args (@t797)) % 0.34/0.56 (step @p190 :rule refl :args (@t810)) % 0.34/0.56 (step @p191 :rule cong :premises (@p190 @p189) :args (@t811)) % 0.34/0.56 (step @p192 :rule refl :args (@t825)) % 0.34/0.56 (step @p193 :rule cong :premises (@p192 @p191) :args (@t826)) % 0.34/0.56 (step @p194 :rule refl :args (@t828)) % 0.34/0.56 (step @p195 :rule cong :premises (@p194 @p193) :args (@t829)) % 0.34/0.56 (step @p196 :rule refl :args (@t830)) % 0.34/0.56 (step @p197 :rule refl :args (@t50)) % 0.34/0.56 (step @p198 :rule cong :premises (@p197 @p196) :args ((= @t50 @t830))) % 0.34/0.56 (step @p199 :rule symm :premises (@p198)) % 0.34/0.56 (step @p200 :rule eq_resolve :premises (@p197 @p199)) % 0.34/0.56 (step @p201 :rule cong :premises (@p200 @p195) :args (@t831)) % 0.34/0.56 (step @p202 :rule refl :args (@t832)) % 0.34/0.56 (step @p203 :rule cong :premises (@p202 @p201) :args (@t833)) % 0.34/0.56 (step @p204 :rule refl :args (@t834)) % 0.34/0.56 (step @p205 :rule cong :premises (@p204 @p203) :args (@t835)) % 0.34/0.56 (step @p206 :rule refl :args (@t837)) % 0.34/0.56 (step @p207 :rule cong :premises (@p206 @p205) :args (@t838)) % 0.34/0.56 (step @p208 :rule cong :premises (@p172 @p207) :args (@t839)) % 0.34/0.56 (step @p209 :rule refl :args (@t841)) % 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@p1985) :args (@t1335)) % 0.34/0.57 (step @p3039 :rule cong :premises (@p2000 @p3038) :args (@t1597)) % 0.34/0.57 (step @p3040 :rule cong :premises (@p3039) :args ((forall @t28 @t1597))) % 0.34/0.57 (step @p3041 :rule cong :premises (@p2011 @p2010) :args (@t27)) % 0.34/0.57 (step @p3042 :rule cong :premises (@p3041) :args (@t29)) % 0.34/0.57 (step @p3043 :rule trans :premises (@p3042 @p3040)) % 0.34/0.57 (step @p3044 :rule refl :args (tptp.setadjoinAx)) % 0.34/0.57 (step @p3045 :rule cong :premises (@p3044 @p3043) :args (@t30)) % 0.34/0.57 (step @p3046 :rule eq_resolve :premises (@p3 @p3045)) % 0.34/0.57 (step @p3047 :rule cong :premises (@p3046 @p3037) :args (@t1598)) % 0.34/0.57 (step @p3048 :rule refl :args (tptp.emptysetAx)) % 0.34/0.57 (step @p3049 :rule cong :premises (@p3048 @p2315) :args (@t18)) % 0.34/0.57 (step @p3050 :rule eq_resolve :premises (@p2 @p3049)) % 0.34/0.57 (step @p3051 :rule cong :premises (@p3050 @p3047) :args (@t1599)) % 0.34/0.57 (step @p3052 :rule bool-impl-elim :args (@t840 @t3)) % 0.34/0.57 (step @p3053 :rule cong :premises (@p3052) :args ((forall @t12 (=> @t840 @t3)))) % 0.34/0.57 (step @p3054 :rule cong :premises (@p328 @p323) :args (@t8)) % 0.34/0.57 (step @p3055 :rule cong :premises (@p3054) :args (@t10)) % 0.34/0.57 (step @p3056 :rule cong :premises (@p3055 @p592) :args (@t11)) % 0.34/0.57 (step @p3057 :rule cong :premises (@p3056) :args (@t13)) % 0.34/0.57 (step @p3058 :rule trans :premises (@p3057 @p3053)) % 0.34/0.57 (step @p3059 :rule refl :args (tptp.setextAx)) % 0.34/0.57 (step @p3060 :rule cong :premises (@p3059 @p3058) :args (@t14)) % 0.34/0.57 (step @p3061 :rule eq_resolve :premises (@p1 @p3060)) % 0.34/0.57 (step @p3062 :rule cong :premises (@p3061 @p3051) :args (@t1600)) % 0.34/0.57 (step @p3063 :rule cong :premises (@p3062) :args ((not @t1600))) % 0.34/0.57 (step @p3064 :rule trans :premises (@p3063 @p317)) % 0.34/0.57 (step @p3065 :rule nary_cong :premises (@p335 @p323 @p329) :args (@t1601)) % 0.34/0.57 (step @p3066 :rule cong :premises (@p3065) :args ((forall @t245 @t1601))) % 0.34/0.57 (step @p3067 :rule aci_norm :args ((= (or @t910 (or @t6 @t197)) @t1601))) % 0.34/0.57 (step @p3068 :rule bool-double-not-elim :args (@t6)) % 0.34/0.57 (step @p3069 :rule nary_cong :premises (@p3068 @p1309) :args ((or (not @t432) @t197))) % 0.34/0.57 (step @p3070 :rule bool-impl-elim :args (@t432 @t197)) % 0.34/0.57 (step @p3071 :rule trans :premises (@p3070 @p3069)) % 0.34/0.57 (step @p3072 :rule nary_cong :premises (@p340 @p3071) :args ((or @t910 @t433))) % 0.34/0.57 (step @p3073 :rule trans :premises (@p3072 @p3067)) % 0.34/0.57 (step @p3074 :rule bool-impl-elim :args (@t418 @t433)) % 0.34/0.57 (step @p3075 :rule trans :premises (@p3074 @p3073)) % 0.34/0.57 (step @p3076 :rule cong :premises (@p3075) :args (@t434)) % 0.34/0.57 (step @p3077 :rule trans :premises (@p3076 @p3066)) % 0.34/0.57 (step @p3078 :rule cong :premises (@p347 @p3077) :args (@t435)) % 0.34/0.57 (step @p3079 :rule cong :premises (@p357 @p3078) :args (@t436)) % 0.34/0.57 (step @p3080 :rule cong :premises (@p362 @p3079) :args (@t437)) % 0.34/0.57 (step @p3081 :rule cong :premises (@p409 @p3080) :args (@t438)) % 0.34/0.57 (step @p3082 :rule cong :premises (@p434 @p3081) :args (@t439)) % 0.34/0.57 (step @p3083 :rule cong :premises (@p438 @p3082) :args (@t440)) % 0.34/0.57 (step @p3084 :rule cong :premises (@p596 @p3083) :args (@t441)) % 0.34/0.57 (step @p3085 :rule cong :premises (@p764 @p3084) :args (@t442)) % 0.34/0.57 (step @p3086 :rule cong :premises (@p835 @p3085) :args (@t443)) % 0.34/0.57 (step @p3087 :rule cong :premises (@p847 @p3086) :args (@t444)) % 0.34/0.57 (step @p3088 :rule cong :premises (@p889 @p3087) :args (@t445)) % 0.34/0.57 (step @p3089 :rule cong :premises (@p929 @p3088) :args (@t446)) % 0.34/0.57 (step @p3090 :rule cong :premises (@p1004 @p3089) :args (@t447)) % 0.34/0.57 (step @p3091 :rule cong :premises (@p1013 @p3090) :args (@t448)) % 0.34/0.57 (step @p3092 :rule cong :premises (@p1025 @p3091) :args (@t449)) % 0.34/0.57 (step @p3093 :rule cong :premises (@p1034 @p3092) :args (@t450)) % 0.34/0.57 (step @p3094 :rule cong :premises (@p1095 @p3093) :args (@t451)) % 0.34/0.57 (step @p3095 :rule cong :premises (@p1169 @p3094) :args (@t452)) % 0.34/0.57 (step @p3096 :rule cong :premises (@p1217 @p3095) :args (@t453)) % 0.34/0.57 (step @p3097 :rule cong :premises (@p1256 @p3096) :args (@t454)) % 0.34/0.57 (step @p3098 :rule cong :premises (@p1279 @p3097) :args (@t455)) % 0.34/0.57 (step @p3099 :rule cong :premises (@p1295 @p3098) :args (@t456)) % 0.34/0.57 (step @p3100 :rule cong :premises (@p1337 @p3099) :args (@t457)) % 0.34/0.57 (step @p3101 :rule cong :premises (@p1404 @p3100) :args (@t458)) % 0.34/0.57 (step @p3102 :rule cong :premises (@p1435 @p3101) :args (@t459)) % 0.34/0.57 (step @p3103 :rule cong :premises (@p1444 @p3102) :args (@t460)) % 0.34/0.57 (step @p3104 :rule cong :premises (@p1452 @p3103) :args (@t461)) % 0.34/0.57 (step @p3105 :rule cong :premises (@p1463 @p3104) :args (@t462)) % 0.34/0.57 (step @p3106 :rule cong :premises (@p1471 @p3105) :args (@t463)) % 0.34/0.57 (step @p3107 :rule cong :premises (@p1488 @p3106) :args (@t464)) % 0.34/0.57 (step @p3108 :rule cong :premises (@p1530 @p3107) :args (@t465)) % 0.34/0.57 (step @p3109 :rule cong :premises (@p1564 @p3108) :args (@t466)) % 0.34/0.57 (step @p3110 :rule cong :premises (@p1580 @p3109) :args (@t467)) % 0.34/0.57 (step @p3111 :rule cong :premises (@p1613 @p3110) :args (@t468)) % 0.34/0.57 (step @p3112 :rule cong :premises (@p1648 @p3111) :args (@t469)) % 0.34/0.57 (step @p3113 :rule cong :premises (@p1673 @p3112) :args (@t470)) % 0.34/0.57 (step @p3114 :rule cong :premises (@p1687 @p3113) :args (@t471)) % 0.34/0.57 (step @p3115 :rule cong :premises (@p1696 @p3114) :args (@t472)) % 0.34/0.57 (step @p3116 :rule cong :premises (@p1717 @p3115) :args (@t473)) % 0.34/0.57 (step @p3117 :rule cong :premises (@p1755 @p3116) :args (@t474)) % 0.34/0.57 (step @p3118 :rule cong :premises (@p1789 @p3117) :args (@t475)) % 0.34/0.57 (step @p3119 :rule cong :premises (@p1870 @p3118) :args (@t476)) % 0.34/0.57 (step @p3120 :rule cong :premises (@p1884 @p3119) :args (@t477)) % 0.34/0.57 (step @p3121 :rule cong :premises (@p1911 @p3120) :args (@t478)) % 0.34/0.57 (step @p3122 :rule cong :premises (@p1916 @p3121) :args (@t479)) % 0.34/0.57 (step @p3123 :rule cong :premises (@p1934 @p3122) :args (@t480)) % 0.34/0.57 (step @p3124 :rule cong :premises (@p1952 @p3123) :args (@t481)) % 0.34/0.57 (step @p3125 :rule cong :premises (@p1977 @p3124) :args (@t482)) % 0.34/0.57 (step @p3126 :rule cong :premises (@p2015 @p3125) :args (@t483)) % 0.34/0.57 (step @p3127 :rule cong :premises (@p2070 @p3126) :args (@t484)) % 0.34/0.57 (step @p3128 :rule cong :premises (@p2080 @p3127) :args (@t485)) % 0.34/0.57 (step @p3129 :rule refl :args (tptp.emptyinunitempty)) % 0.34/0.57 (step @p3130 :rule cong :premises (@p3129 @p3128) :args (@t486)) % 0.34/0.57 (step @p3131 :rule cong :premises (@p2101 @p3130) :args (@t487)) % 0.34/0.57 (step @p3132 :rule cong :premises (@p2141 @p3131) :args (@t488)) % 0.34/0.57 (step @p3133 :rule cong :premises (@p2191 @p3132) :args (@t489)) % 0.34/0.57 (step @p3134 :rule cong :premises (@p2205 @p3133) :args (@t490)) % 0.34/0.57 (step @p3135 :rule cong :premises (@p2240 @p3134) :args (@t491)) % 0.34/0.57 (step @p3136 :rule cong :premises (@p2245 @p3135) :args (@t492)) % 0.34/0.57 (step @p3137 :rule cong :premises (@p2258 @p3136) :args (@t493)) % 0.34/0.57 (step @p3138 :rule cong :premises (@p2273 @p3137) :args (@t494)) % 0.34/0.57 (step @p3139 :rule cong :premises (@p2305 @p3138) :args (@t495)) % 0.34/0.57 (step @p3140 :rule cong :premises (@p2314 @p3139) :args (@t496)) % 0.34/0.57 (step @p3141 :rule cong :premises (@p2325 @p3140) :args (@t497)) % 0.34/0.57 (step @p3142 :rule cong :premises (@p2340 @p3141) :args (@t498)) % 0.34/0.57 (step @p3143 :rule cong :premises (@p2376 @p3142) :args (@t499)) % 0.34/0.57 (step @p3144 :rule cong :premises (@p2385 @p3143) :args (@t500)) % 0.34/0.57 (step @p3145 :rule cong :premises (@p2405 @p3144) :args (@t501)) % 0.34/0.57 (step @p3146 :rule cong :premises (@p2418 @p3145) :args (@t502)) % 0.34/0.57 (step @p3147 :rule cong :premises (@p2435 @p3146) :args (@t503)) % 0.34/0.57 (step @p3148 :rule cong :premises (@p2486 @p3147) :args (@t504)) % 0.34/0.57 (step @p3149 :rule cong :premises (@p2757 @p3148) :args (@t505)) % 0.34/0.57 (step @p3150 :rule cong :premises (@p2802 @p3149) :args (@t506)) % 0.34/0.57 (step @p3151 :rule cong :premises (@p2895 @p3150) :args (@t507)) % 0.34/0.57 (step @p3152 :rule cong :premises (@p2982 @p3151) :args (@t508)) % 0.34/0.57 (step @p3153 :rule cong :premises (@p3002 @p3152) :args (@t509)) % 0.34/0.57 (step @p3154 :rule refl :args (tptp.omega0Ax)) % 0.34/0.57 (step @p3155 :rule cong :premises (@p3154 @p3153) :args (@t510)) % 0.34/0.57 (step @p3156 :rule cong :premises (@p3021 @p3155) :args (@t511)) % 0.34/0.57 (step @p3157 :rule cong :premises (@p3034 @p3156) :args (@t512)) % 0.34/0.57 (step @p3158 :rule cong :premises (@p3044 @p3157) :args (@t513)) % 0.34/0.57 (step @p3159 :rule cong :premises (@p3048 @p3158) :args (@t514)) % 0.34/0.57 (step @p3160 :rule cong :premises (@p3059 @p3159) :args (@t515)) % 0.34/0.57 (step @p3161 :rule cong :premises (@p3160) :args (@t516)) % 0.34/0.57 (step @p3162 :rule trans :premises (@p3161 @p3064 @p211)) % 0.34/0.57 (step @p3163 :rule eq_resolve :premises (@p82 @p3162)) % 0.34/0.57 (step @p3164 :rule not_implies_elim2 :premises (@p3163)) % 0.34/0.57 (step @p3165 :rule not_implies_elim2 :premises (@p3164)) % 0.34/0.57 (step @p3166 :rule not_implies_elim2 :premises (@p3165)) % 0.34/0.57 (step @p3167 :rule not_implies_elim2 :premises (@p3166)) % 0.34/0.57 (step @p3168 :rule not_implies_elim2 :premises (@p3167)) % 0.34/0.57 (step @p3169 :rule not_implies_elim2 :premises (@p3168)) % 0.34/0.57 (step @p3170 :rule not_implies_elim2 :premises (@p3169)) % 0.34/0.57 (step @p3171 :rule not_implies_elim2 :premises (@p3170)) % 0.34/0.57 (step @p3172 :rule not_implies_elim2 :premises (@p3171)) % 0.34/0.57 (step @p3173 :rule not_implies_elim2 :premises (@p3172)) % 0.34/0.57 (step @p3174 :rule not_implies_elim2 :premises (@p3173)) % 0.34/0.57 (step @p3175 :rule not_implies_elim2 :premises (@p3174)) % 0.34/0.57 (step @p3176 :rule not_implies_elim2 :premises (@p3175)) % 0.34/0.57 (step @p3177 :rule not_implies_elim2 :premises (@p3176)) % 0.34/0.57 (step @p3178 :rule not_implies_elim2 :premises (@p3177)) % 0.34/0.57 (step @p3179 :rule not_implies_elim2 :premises (@p3178)) % 0.34/0.57 (step @p3180 :rule not_implies_elim2 :premises (@p3179)) % 0.34/0.57 (step @p3181 :rule not_implies_elim2 :premises (@p3180)) % 0.34/0.57 (step @p3182 :rule not_implies_elim2 :premises (@p3181)) % 0.34/0.57 (step @p3183 :rule not_implies_elim2 :premises (@p3182)) % 0.34/0.57 (step @p3184 :rule not_implies_elim2 :premises (@p3183)) % 0.34/0.57 (step @p3185 :rule not_implies_elim2 :premises (@p3184)) % 0.34/0.57 (step @p3186 :rule not_implies_elim2 :premises (@p3185)) % 0.34/0.57 (step @p3187 :rule not_implies_elim2 :premises (@p3186)) % 0.34/0.57 (step @p3188 :rule not_implies_elim2 :premises (@p3187)) % 0.34/0.57 (step @p3189 :rule not_implies_elim2 :premises (@p3188)) % 0.34/0.57 (step @p3190 :rule not_implies_elim2 :premises (@p3189)) % 0.34/0.57 (step @p3191 :rule not_implies_elim2 :premises (@p3190)) % 0.34/0.57 (step @p3192 :rule not_implies_elim2 :premises (@p3191)) % 0.34/0.57 (step @p3193 :rule not_implies_elim2 :premises (@p3192)) % 0.34/0.57 (step @p3194 :rule not_implies_elim2 :premises (@p3193)) % 0.34/0.57 (step @p3195 :rule not_implies_elim2 :premises (@p3194)) % 0.34/0.57 (step @p3196 :rule not_implies_elim2 :premises (@p3195)) % 0.34/0.57 (step @p3197 :rule not_implies_elim2 :premises (@p3196)) % 0.34/0.57 (step @p3198 :rule not_implies_elim2 :premises (@p3197)) % 0.34/0.57 (step @p3199 :rule not_implies_elim2 :premises (@p3198)) % 0.34/0.57 (step @p3200 :rule not_implies_elim2 :premises (@p3199)) % 0.34/0.57 (step @p3201 :rule not_implies_elim2 :premises (@p3200)) % 0.34/0.57 (step @p3202 :rule not_implies_elim2 :premises (@p3201)) % 0.34/0.57 (step @p3203 :rule not_implies_elim2 :premises (@p3202)) % 0.34/0.57 (step @p3204 :rule not_implies_elim2 :premises (@p3203)) % 0.34/0.57 (step @p3205 :rule not_implies_elim2 :premises (@p3204)) % 0.34/0.57 (step @p3206 :rule not_implies_elim2 :premises (@p3205)) % 0.34/0.57 (step @p3207 :rule not_implies_elim2 :premises (@p3206)) % 0.34/0.57 (step @p3208 :rule not_implies_elim2 :premises (@p3207)) % 0.34/0.57 (step @p3209 :rule not_implies_elim2 :premises (@p3208)) % 0.34/0.57 (step @p3210 :rule not_implies_elim2 :premises (@p3209)) % 0.34/0.57 (step @p3211 :rule not_implies_elim2 :premises (@p3210)) % 0.34/0.57 (step @p3212 :rule not_implies_elim2 :premises (@p3211)) % 0.34/0.57 (step @p3213 :rule not_implies_elim2 :premises (@p3212)) % 0.34/0.57 (step @p3214 :rule not_implies_elim2 :premises (@p3213)) % 0.34/0.57 (step @p3215 :rule not_implies_elim2 :premises (@p3214)) % 0.34/0.57 (step @p3216 :rule not_implies_elim2 :premises (@p3215)) % 0.34/0.57 (step @p3217 :rule not_implies_elim2 :premises (@p3216)) % 0.34/0.57 (step @p3218 :rule not_implies_elim2 :premises (@p3217)) % 0.34/0.57 (step @p3219 :rule not_implies_elim2 :premises (@p3218)) % 0.34/0.57 (step @p3220 :rule not_implies_elim2 :premises (@p3219)) % 0.34/0.57 (step @p3221 :rule not_implies_elim2 :premises (@p3220)) % 0.34/0.57 (step @p3222 :rule not_implies_elim2 :premises (@p3221)) % 0.34/0.57 (step @p3223 :rule not_implies_elim2 :premises (@p3222)) % 0.34/0.57 (step @p3224 :rule not_implies_elim2 :premises (@p3223)) % 0.34/0.57 (step @p3225 :rule not_implies_elim2 :premises (@p3224)) % 0.34/0.57 (step @p3226 :rule not_implies_elim2 :premises (@p3225)) % 0.34/0.57 (step @p3227 :rule not_implies_elim2 :premises (@p3226)) % 0.34/0.57 (step @p3228 :rule not_implies_elim2 :premises (@p3227)) % 0.34/0.57 (step @p3229 :rule not_implies_elim1 :premises (@p3228)) % 0.34/0.57 (step @p3230 :rule aci_norm :args ((= @t524 @t526))) % 0.34/0.57 (step @p3231 :rule cong :premises (@p3230) :args (@t525)) % 0.34/0.57 (step @p3232 :rule true_intro :premises (@p3231)) % 0.34/0.57 (step @p3233 :rule eq-symm :args (@t527 @t525)) % 0.34/0.57 (step @p3234 :rule trans :premises (@p3233 @p3232)) % 0.34/0.57 (step @p3235 :rule true_elim :premises (@p3234)) % 0.34/0.57 (step @p3236 :rule equiv_elim1 :premises (@p3235)) % 0.34/0.57 (step @p3237 :rule reordering :premises (@p3236) :args ((or @t525 (not @t527)))) % 0.34/0.57 (step @p3238 :rule chain_m_resolution :premises (@p3237 @p3229) :args (@t525 @t1602 (@list @t527))) % 0.34/0.57 (step @p3239 :rule not_implies_elim2 :premises (@p3228)) % 0.34/0.57 (step @p3240 false :rule chain_m_resolution :premises (@p3239 @p3238) :args (false @t1602 (@list @t525))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------