%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU549^1 : 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 : n020.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 08:52:09 AM UTC 2026 % Result : Theorem 0.41s 0.83s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.14 % Problem : SEU549^1 : TPTP v9.2.1. Released v3.7.0. % 0.10/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.36 % Computer : n020.cluster.edu % 0.19/0.36 % Model : x86_64 x86_64 % 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.36 % Memory : 8042.1875MB % 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.36 % CPULimit : 300 % 0.19/0.36 % WCLimit : 300 % 0.19/0.36 % DateTime : Tue Jun 2 17:41:40 EDT 2026 % 0.19/0.37 % CPUTime : % 0.34/0.54 %----Proving TH0 % 0.41/0.83 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.83 % SZS status Theorem % 0.41/0.83 % SZS output start Proof % 0.41/0.83 ( % 0.41/0.83 (declare-sort $$unsorted 0) % 0.41/0.83 (declare-const tptp.emptyset $$unsorted) % 0.41/0.83 (declare-const tptp.in__Cong Bool) % 0.41/0.83 (declare-const tptp.inCongP Bool) % 0.41/0.83 (declare-const tptp.exuI3 Bool) % 0.41/0.83 (declare-const tptp.exuI1 Bool) % 0.41/0.83 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.41/0.83 (declare-const tptp.quantDeMorgan3 Bool) % 0.41/0.83 (declare-const tptp.quantDeMorgan2 Bool) % 0.41/0.83 (declare-const tptp.quantDeMorgan1 Bool) % 0.41/0.83 (declare-const tptp.vacuousDall Bool) % 0.41/0.83 (declare-const tptp.emptyE1 Bool) % 0.41/0.83 (declare-const tptp.upairsetIR Bool) % 0.41/0.83 (declare-const tptp.emptysetE Bool) % 0.41/0.83 (declare-const tptp.setadjoinIL Bool) % 0.41/0.83 (declare-const tptp.prop2setE Bool) % 0.41/0.83 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.41/0.83 (declare-const tptp.dsetconstrI Bool) % 0.41/0.83 (declare-const tptp.setext Bool) % 0.41/0.83 (declare-const tptp.nonemptyImpWitness Bool) % 0.41/0.83 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.41/0.83 (declare-const tptp.wellorderingAx Bool) % 0.41/0.83 (declare-const tptp.replAx Bool) % 0.41/0.83 (declare-const tptp.upairsetE Bool) % 0.41/0.83 (declare-const tptp.dsetconstrEL Bool) % 0.41/0.83 (declare-const tptp.prop2setI Bool) % 0.41/0.83 (declare-const tptp.emptyinPowerset Bool) % 0.41/0.83 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.41/0.83 (declare-const tptp.setextAx Bool) % 0.41/0.83 (declare-const tptp.setadjoinOr Bool) % 0.41/0.83 (declare-const tptp.uniqinunit Bool) % 0.41/0.83 (declare-const tptp.foundationAx Bool) % 0.41/0.83 (declare-const tptp.emptysetimpfalse Bool) % 0.41/0.83 (declare-const tptp.notinemptyset Bool) % 0.41/0.83 (declare-const tptp.setadjoinIR Bool) % 0.41/0.83 (declare-const tptp.exuE2 Bool) % 0.41/0.83 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.83 (declare-const tptp.notdallE Bool) % 0.41/0.83 (declare-const tptp.dsetconstrER Bool) % 0.41/0.83 (declare-const tptp.emptyInPowerset Bool) % 0.41/0.83 (declare-const tptp.setadjoinAx Bool) % 0.41/0.83 (declare-const tptp.nonemptyE1 Bool) % 0.41/0.83 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.41/0.83 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.41/0.83 (declare-const tptp.powersetAx Bool) % 0.41/0.83 (declare-const tptp.prop2set2propI Bool) % 0.41/0.83 (declare-const tptp.powersetE Bool) % 0.41/0.83 (declare-const tptp.omegaSAx Bool) % 0.41/0.83 (declare-const tptp.descrp Bool) % 0.41/0.83 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.41/0.83 (declare-const tptp.omega0Ax Bool) % 0.41/0.83 (declare-const tptp.setoftrueEq Bool) % 0.41/0.83 (declare-const tptp.setunionAx Bool) % 0.41/0.83 (declare-const tptp.omega $$unsorted) % 0.41/0.83 (declare-const tptp.omegaIndAx Bool) % 0.41/0.83 (declare-const tptp.quantDeMorgan4 Bool) % 0.41/0.83 (declare-const tptp.powersetI Bool) % 0.41/0.83 (declare-const tptp.exuE3e Bool) % 0.41/0.83 (declare-const tptp.emptyI Bool) % 0.41/0.83 (declare-const tptp.noeltsimpempty Bool) % 0.41/0.83 (declare-const tptp.eqinunit Bool) % 0.41/0.83 (declare-const tptp.upairsetIL Bool) % 0.41/0.83 (declare-const tptp.nonemptyI Bool) % 0.41/0.83 (declare-const tptp.emptysetAx Bool) % 0.41/0.83 (declare-const tptp.nonemptyI1 Bool) % 0.41/0.83 (declare-const tptp.emptyinunitempty Bool) % 0.41/0.83 (declare-const tptp.setadjoinE Bool) % 0.41/0.83 (declare-const tptp.notdexE Bool) % 0.41/0.83 (declare-const tptp.setunionI Bool) % 0.41/0.83 (declare-const tptp.exuE1 Bool) % 0.41/0.83 (declare-const tptp.setunionE Bool) % 0.41/0.83 (declare-const tptp.exuI2 Bool) % 0.41/0.83 (declare-const tptp.subPowSU Bool) % 0.41/0.83 (declare-const tptp.notinsingleton Bool) % 0.41/0.83 (declare-const tptp.setbeta Bool) % 0.41/0.83 (declare-const tptp.singletonsswitch Bool) % 0.41/0.83 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.41/0.83 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.41/0.83 (define @t1 () (@var "B" $$unsorted)) % 0.41/0.83 (define @t2 () (@var "A" $$unsorted)) % 0.41/0.83 (define @t3 () (= @t2 @t1)) % 0.41/0.83 (define @t4 () (@var "Xx" $$unsorted)) % 0.41/0.83 (define @t5 () (_ tptp.in @t4)) % 0.41/0.83 (define @t6 () (_ @t5 @t1)) % 0.41/0.83 (define @t7 () (_ @t5 @t2)) % 0.41/0.83 (define @t8 () (= @t7 @t6)) % 0.41/0.83 (define @t9 () (@list @t4)) % 0.41/0.83 (define @t10 () (forall @t9 @t8)) % 0.41/0.83 (define @t11 () (=> @t10 @t3)) % 0.41/0.83 (define @t12 () (@list @t2 @t1)) % 0.41/0.83 (define @t13 () (forall @t12 @t11)) % 0.41/0.83 (define @t14 () (= tptp.setextAx @t13)) % 0.41/0.83 (define @t15 () (_ @t5 tptp.emptyset)) % 0.41/0.83 (define @t16 () (not @t15)) % 0.41/0.83 (define @t17 () (forall @t9 @t16)) % 0.41/0.83 (define @t18 () (= tptp.emptysetAx @t17)) % 0.41/0.83 (define @t19 () (@var "Xy" $$unsorted)) % 0.41/0.83 (define @t20 () (_ tptp.in @t19)) % 0.41/0.83 (define @t21 () (_ @t20 @t2)) % 0.41/0.83 (define @t22 () (= @t19 @t4)) % 0.41/0.83 (define @t23 () (or @t22 @t21)) % 0.41/0.83 (define @t24 () (_ tptp.setadjoin @t4)) % 0.41/0.83 (define @t25 () (_ @t24 @t2)) % 0.41/0.83 (define @t26 () (_ @t20 @t25)) % 0.41/0.83 (define @t27 () (= @t26 @t23)) % 0.41/0.83 (define @t28 () (@list @t4 @t2 @t19)) % 0.41/0.83 (define @t29 () (forall @t28 @t27)) % 0.41/0.83 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.41/0.83 (define @t31 () (=> @t6 @t7)) % 0.41/0.83 (define @t32 () (forall @t9 @t31)) % 0.41/0.83 (define @t33 () (_ tptp.powerset @t2)) % 0.41/0.83 (define @t34 () (_ tptp.in @t1)) % 0.41/0.83 (define @t35 () (_ @t34 @t33)) % 0.41/0.83 (define @t36 () (= @t35 @t32)) % 0.41/0.83 (define @t37 () (forall @t12 @t36)) % 0.41/0.83 (define @t38 () (= tptp.powersetAx @t37)) % 0.41/0.83 (define @t39 () (_ @t34 @t2)) % 0.41/0.83 (define @t40 () (and @t6 @t39)) % 0.41/0.83 (define @t41 () (@list @t1)) % 0.41/0.83 (define @t42 () (exists @t41 @t40)) % 0.41/0.83 (define @t43 () (_ tptp.setunion @t2)) % 0.41/0.83 (define @t44 () (_ @t5 @t43)) % 0.41/0.83 (define @t45 () (= @t44 @t42)) % 0.41/0.83 (define @t46 () (@list @t2 @t4)) % 0.41/0.83 (define @t47 () (forall @t46 @t45)) % 0.41/0.83 (define @t48 () (= tptp.setunionAx @t47)) % 0.41/0.83 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.41/0.83 (define @t50 () (_ @t49 tptp.omega)) % 0.41/0.83 (define @t51 () (_ @t24 @t4)) % 0.41/0.83 (define @t52 () (_ tptp.in @t51)) % 0.41/0.83 (define @t53 () (_ @t52 tptp.omega)) % 0.41/0.83 (define @t54 () (_ @t5 tptp.omega)) % 0.41/0.83 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.41/0.83 (define @t56 () (= tptp.omegaSAx @t55)) % 0.41/0.83 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.41/0.83 (define @t58 () (_ @t52 @t2)) % 0.41/0.83 (define @t59 () (and @t54 @t7)) % 0.41/0.83 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.41/0.83 (define @t61 () (_ @t49 @t2)) % 0.41/0.83 (define @t62 () (and @t61 @t60)) % 0.41/0.83 (define @t63 () (=> @t62 @t57)) % 0.41/0.83 (define @t64 () (@list @t2)) % 0.41/0.83 (define @t65 () (forall @t64 @t63)) % 0.41/0.83 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.41/0.83 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.41/0.83 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.41/0.83 (define @t69 () (and @t21 @t68)) % 0.41/0.83 (define @t70 () (@list @t19)) % 0.41/0.83 (define @t71 () (exists @t70 @t69)) % 0.41/0.83 (define @t72 () (= @t6 @t71)) % 0.41/0.83 (define @t73 () (forall @t9 @t72)) % 0.41/0.83 (define @t74 () (exists @t41 @t73)) % 0.41/0.83 (define @t75 () (_ @t67 @t4)) % 0.41/0.83 (define @t76 () (_ @t75 @t19)) % 0.41/0.83 (define @t77 () (lambda @t70 @t76)) % 0.41/0.83 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.41/0.83 (define @t79 () (forall @t9 @t78)) % 0.41/0.83 (define @t80 () (=> @t79 @t74)) % 0.41/0.83 (define @t81 () (@list @t67 @t2)) % 0.41/0.83 (define @t82 () (forall @t81 @t80)) % 0.41/0.83 (define @t83 () (= tptp.replAx @t82)) % 0.41/0.83 (define @t84 () (and @t6 @t7)) % 0.41/0.83 (define @t85 () (exists @t9 @t84)) % 0.41/0.83 (define @t86 () (not @t85)) % 0.41/0.83 (define @t87 () (and @t39 @t86)) % 0.41/0.83 (define @t88 () (exists @t41 @t87)) % 0.41/0.83 (define @t89 () (exists @t9 @t7)) % 0.41/0.83 (define @t90 () (=> @t89 @t88)) % 0.41/0.83 (define @t91 () (forall @t64 @t90)) % 0.41/0.83 (define @t92 () (= tptp.foundationAx @t91)) % 0.41/0.83 (define @t93 () (@var "E" $$unsorted)) % 0.41/0.83 (define @t94 () (_ @t5 @t93)) % 0.41/0.83 (define @t95 () (@var "D" $$unsorted)) % 0.41/0.83 (define @t96 () (_ @t20 @t95)) % 0.41/0.83 (define @t97 () (_ @t20 @t93)) % 0.41/0.83 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.41/0.83 (define @t99 () (or @t98 @t94)) % 0.41/0.83 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.41/0.83 (define @t101 () (=> @t100 @t99)) % 0.41/0.83 (define @t102 () (@list @t93)) % 0.41/0.83 (define @t103 () (forall @t102 @t101)) % 0.41/0.83 (define @t104 () (@var "C" $$unsorted)) % 0.41/0.83 (define @t105 () (_ @t20 @t104)) % 0.41/0.83 (define @t106 () (and @t96 @t105)) % 0.41/0.83 (define @t107 () (exists @t70 @t106)) % 0.41/0.83 (define @t108 () (not @t107)) % 0.41/0.83 (define @t109 () (_ @t5 @t104)) % 0.41/0.83 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.41/0.83 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.41/0.83 (define @t112 () (@list @t95 @t4)) % 0.41/0.83 (define @t113 () (exists @t112 @t111)) % 0.41/0.83 (define @t114 () (exists @t9 @t109)) % 0.41/0.83 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.41/0.83 (define @t116 () (and @t115 @t114)) % 0.41/0.83 (define @t117 () (=> @t116 @t113)) % 0.41/0.83 (define @t118 () (@list @t104)) % 0.41/0.83 (define @t119 () (forall @t118 @t117)) % 0.41/0.83 (define @t120 () (_ @t5 @t95)) % 0.41/0.83 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.41/0.83 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.41/0.83 (define @t123 () (or @t122 @t121)) % 0.41/0.83 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.41/0.83 (define @t125 () (and @t124 @t110)) % 0.41/0.83 (define @t126 () (=> @t125 @t123)) % 0.41/0.83 (define @t127 () (@list @t104 @t95)) % 0.41/0.83 (define @t128 () (forall @t127 @t126)) % 0.41/0.83 (define @t129 () (= @t4 @t19)) % 0.41/0.83 (define @t130 () (= @t109 @t105)) % 0.41/0.83 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.41/0.83 (define @t132 () (=> @t131 @t129)) % 0.41/0.83 (define @t133 () (and @t7 @t21)) % 0.41/0.83 (define @t134 () (=> @t133 @t132)) % 0.41/0.83 (define @t135 () (@list @t4 @t19)) % 0.41/0.83 (define @t136 () (forall @t135 @t134)) % 0.41/0.83 (define @t137 () (=> @t124 @t115)) % 0.41/0.83 (define @t138 () (forall @t118 @t137)) % 0.41/0.83 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.41/0.83 (define @t140 () (exists @t41 @t139)) % 0.41/0.83 (define @t141 () (forall @t64 @t140)) % 0.41/0.83 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.41/0.83 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.41/0.83 (define @t144 () (_ @t143 @t4)) % 0.41/0.83 (define @t145 () (lambda @t9 @t144)) % 0.41/0.83 (define @t146 () (_ tptp.descr @t145)) % 0.41/0.83 (define @t147 () (_ @t143 @t146)) % 0.41/0.83 (define @t148 () (_ tptp.exu @t145)) % 0.41/0.83 (define @t149 () (=> @t148 @t147)) % 0.41/0.83 (define @t150 () (@list @t143)) % 0.41/0.83 (define @t151 () (forall @t150 @t149)) % 0.41/0.83 (define @t152 () (= tptp.descrp @t151)) % 0.41/0.83 (define @t153 () (_ @t143 @t19)) % 0.41/0.83 (define @t154 () (lambda @t70 @t153)) % 0.41/0.83 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.41/0.83 (define @t156 () (_ @t155 @t154)) % 0.41/0.83 (define @t157 () (_ @t5 @t156)) % 0.41/0.83 (define @t158 () (=> @t144 @t157)) % 0.41/0.83 (define @t159 () (@list @t2 @t143 @t4)) % 0.41/0.83 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.41/0.83 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.41/0.83 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.41/0.83 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.41/0.83 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.41/0.83 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.41/0.83 (define @t166 () (=> @t153 @t129)) % 0.41/0.83 (define @t167 () (forall @t70 @t166)) % 0.41/0.83 (define @t168 () (and @t144 @t167)) % 0.41/0.83 (define @t169 () (exists @t9 @t168)) % 0.41/0.83 (define @t170 () (=> @t148 @t169)) % 0.41/0.83 (define @t171 () (forall @t150 @t170)) % 0.41/0.83 (define @t172 () (= tptp.exuE1 @t171)) % 0.41/0.83 (define @t173 () (@var "Xphi" Bool)) % 0.41/0.83 (define @t174 () (_ tptp.prop2set @t173)) % 0.41/0.83 (define @t175 () (_ @t5 @t174)) % 0.41/0.83 (define @t176 () (@list @t173 @t4)) % 0.41/0.83 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.41/0.83 (define @t178 () (= tptp.prop2setE @t177)) % 0.41/0.83 (define @t179 () (@list @t173)) % 0.41/0.83 (define @t180 () (forall @t179 @t173)) % 0.41/0.83 (define @t181 () (=> @t15 @t180)) % 0.41/0.83 (define @t182 () (forall @t9 @t181)) % 0.41/0.83 (define @t183 () (= tptp.emptysetE @t182)) % 0.41/0.83 (define @t184 () (forall @t9 (=> @t15 false))) % 0.41/0.83 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.41/0.83 (define @t186 () (exists @t9 @t144)) % 0.41/0.83 (define @t187 () (=> @t148 @t186)) % 0.41/0.83 (define @t188 () (forall @t150 @t187)) % 0.41/0.83 (define @t189 () (= tptp.exuE3e @t188)) % 0.41/0.83 (define @t190 () (=> @t32 @t3)) % 0.41/0.83 (define @t191 () (forall @t9 (=> @t7 @t6))) % 0.41/0.83 (define @t192 () (=> @t191 @t190)) % 0.41/0.83 (define @t193 () (forall @t12 @t192)) % 0.41/0.83 (define @t194 () (= tptp.setext @t193)) % 0.41/0.83 (define @t195 () (= @t2 tptp.emptyset)) % 0.41/0.83 (define @t196 () (not @t7)) % 0.41/0.83 (define @t197 () (forall @t9 @t196)) % 0.41/0.83 (define @t198 () (=> @t197 @t195)) % 0.41/0.83 (define @t199 () (forall @t64 @t198)) % 0.41/0.83 (define @t200 () (= tptp.emptyI @t199)) % 0.41/0.83 (define @t201 () (=> @t7 (= @t157 @t144))) % 0.41/0.83 (define @t202 () (forall @t159 @t201)) % 0.41/0.83 (define @t203 () (= tptp.setbeta @t202)) % 0.41/0.83 (define @t204 () (_ tptp.nonempty @t2)) % 0.41/0.83 (define @t205 () (=> @t204 @t89)) % 0.41/0.83 (define @t206 () (forall @t64 @t205)) % 0.41/0.83 (define @t207 () (= tptp.nonemptyE1 @t206)) % 0.41/0.83 (define @t208 () (=> @t144 (_ tptp.nonempty @t156))) % 0.41/0.83 (define @t209 () (=> @t7 @t208)) % 0.41/0.83 (define @t210 () (forall @t159 @t209)) % 0.41/0.83 (define @t211 () (= tptp.nonemptyI @t210)) % 0.41/0.83 (define @t212 () (=> @t89 @t204)) % 0.41/0.83 (define @t213 () (forall @t64 @t212)) % 0.41/0.83 (define @t214 () (= tptp.nonemptyI1 @t213)) % 0.41/0.83 (define @t215 () (_ @t24 @t19)) % 0.41/0.83 (define @t216 () (_ @t5 @t215)) % 0.41/0.83 (define @t217 () (forall @t135 @t216)) % 0.41/0.83 (define @t218 () (= tptp.setadjoinIL @t217)) % 0.41/0.83 (define @t219 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.41/0.83 (define @t220 () (_ @t49 @t219)) % 0.41/0.83 (define @t221 () (forall @t28 (=> @t21 @t26))) % 0.41/0.83 (define @t222 () (= tptp.setadjoinIR @t221)) % 0.41/0.83 (define @t223 () (=> @t21 @t173)) % 0.41/0.83 (define @t224 () (=> @t223 @t173)) % 0.41/0.83 (define @t225 () (=> @t22 @t173)) % 0.41/0.83 (define @t226 () (=> @t225 @t224)) % 0.41/0.83 (define @t227 () (forall @t179 @t226)) % 0.41/0.83 (define @t228 () (=> @t26 @t227)) % 0.41/0.83 (define @t229 () (forall @t28 @t228)) % 0.41/0.83 (define @t230 () (= tptp.setadjoinE @t229)) % 0.41/0.83 (define @t231 () (=> @t26 @t23)) % 0.41/0.83 (define @t232 () (forall @t28 @t231)) % 0.41/0.83 (define @t233 () (= tptp.setadjoinOr @t232)) % 0.41/0.83 (define @t234 () (lambda @t9 true)) % 0.41/0.83 (define @t235 () (= (_ @t155 @t234) @t2)) % 0.41/0.83 (define @t236 () (forall @t64 @t235)) % 0.41/0.83 (define @t237 () (= tptp.setoftrueEq @t236)) % 0.41/0.83 (define @t238 () (=> @t32 @t35)) % 0.41/0.83 (define @t239 () (forall @t12 @t238)) % 0.41/0.83 (define @t240 () (= tptp.powersetI @t239)) % 0.41/0.83 (define @t241 () (_ @t49 @t33)) % 0.41/0.83 (define @t242 () (forall @t64 @t241)) % 0.41/0.83 (define @t243 () (= tptp.emptyinPowerset @t242)) % 0.41/0.83 (define @t244 () (@list @t2 @t1 @t4)) % 0.41/0.83 (define @t245 () (forall @t244 (=> @t35 @t31))) % 0.41/0.83 (define @t246 () (= tptp.powersetE @t245)) % 0.41/0.83 (define @t247 () (=> @t39 @t44)) % 0.41/0.83 (define @t248 () (@list @t2 @t4 @t1)) % 0.41/0.83 (define @t249 () (forall @t248 (=> @t6 @t247))) % 0.41/0.83 (define @t250 () (= tptp.setunionI @t249)) % 0.41/0.83 (define @t251 () (=> @t39 @t173)) % 0.41/0.83 (define @t252 () (forall @t41 (=> @t6 @t251))) % 0.41/0.83 (define @t253 () (=> @t252 @t173)) % 0.41/0.83 (define @t254 () (forall @t179 @t253)) % 0.41/0.83 (define @t255 () (=> @t44 @t254)) % 0.41/0.83 (define @t256 () (forall @t46 @t255)) % 0.41/0.83 (define @t257 () (= tptp.setunionE @t256)) % 0.41/0.83 (define @t258 () (_ tptp.powerset @t43)) % 0.41/0.83 (define @t259 () (_ @t5 @t258)) % 0.41/0.83 (define @t260 () (forall @t46 (=> @t7 @t259))) % 0.41/0.83 (define @t261 () (= tptp.subPowSU @t260)) % 0.41/0.83 (define @t262 () (= @t153 @t22)) % 0.41/0.83 (define @t263 () (forall @t70 @t262)) % 0.41/0.83 (define @t264 () (exists @t9 @t263)) % 0.41/0.83 (define @t265 () (=> @t148 @t264)) % 0.41/0.83 (define @t266 () (forall @t150 @t265)) % 0.41/0.83 (define @t267 () (= tptp.exuE2 @t266)) % 0.41/0.83 (define @t268 () (and @t7 true)) % 0.41/0.83 (define @t269 () (exists @t9 @t268)) % 0.41/0.83 (define @t270 () (=> @t204 @t269)) % 0.41/0.83 (define @t271 () (forall @t64 @t270)) % 0.41/0.83 (define @t272 () (= tptp.nonemptyImpWitness @t271)) % 0.41/0.83 (define @t273 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 0.41/0.83 (define @t274 () (_ @t5 @t273)) % 0.41/0.83 (define @t275 () (forall @t135 (=> @t274 @t129))) % 0.41/0.83 (define @t276 () (= tptp.uniqinunit @t275)) % 0.41/0.83 (define @t277 () (_ @t24 tptp.emptyset)) % 0.41/0.83 (define @t278 () (_ @t20 @t277)) % 0.41/0.83 (define @t279 () (not @t278)) % 0.41/0.83 (define @t280 () (not @t129)) % 0.41/0.83 (define @t281 () (forall @t135 (=> @t280 @t279))) % 0.41/0.83 (define @t282 () (= tptp.notinsingleton @t281)) % 0.41/0.83 (define @t283 () (forall @t135 (=> @t129 @t274))) % 0.41/0.83 (define @t284 () (= tptp.eqinunit @t283)) % 0.41/0.83 (define @t285 () (forall @t135 (=> @t274 @t278))) % 0.41/0.83 (define @t286 () (= tptp.singletonsswitch @t285)) % 0.41/0.83 (define @t287 () (@var "Xz" $$unsorted)) % 0.41/0.83 (define @t288 () (or (= @t287 @t4) (= @t287 @t19))) % 0.41/0.83 (define @t289 () (_ @t24 @t273)) % 0.41/0.83 (define @t290 () (_ tptp.in @t287)) % 0.41/0.83 (define @t291 () (_ @t290 @t289)) % 0.41/0.83 (define @t292 () (=> @t291 @t288)) % 0.41/0.83 (define @t293 () (@list @t4 @t19 @t287)) % 0.41/0.83 (define @t294 () (forall @t293 @t292)) % 0.41/0.83 (define @t295 () (= tptp.upairsetE @t294)) % 0.41/0.83 (define @t296 () (_ @t5 @t289)) % 0.41/0.83 (define @t297 () (forall @t135 @t296)) % 0.41/0.83 (define @t298 () (= tptp.upairsetIL @t297)) % 0.41/0.83 (define @t299 () (_ @t20 @t289)) % 0.41/0.83 (define @t300 () (forall @t135 @t299)) % 0.41/0.83 (define @t301 () (= tptp.upairsetIR @t300)) % 0.41/0.83 (define @t302 () (_ @t155 @t145)) % 0.41/0.83 (define @t303 () (= @t302 tptp.emptyset)) % 0.41/0.83 (define @t304 () (and @t7 @t144)) % 0.41/0.83 (define @t305 () (exists @t9 @t304)) % 0.41/0.83 (define @t306 () (=> @t305 (=> @t303 false))) % 0.41/0.83 (define @t307 () (@list @t2 @t143)) % 0.41/0.83 (define @t308 () (forall @t307 @t306)) % 0.41/0.83 (define @t309 () (= tptp.emptyE1 @t308)) % 0.41/0.83 (define @t310 () (@list @t143 @t4)) % 0.41/0.83 (define @t311 () (forall @t310 (=> @t15 @t144))) % 0.41/0.83 (define @t312 () (= tptp.vacuousDall @t311)) % 0.41/0.83 (define @t313 () (not @t144)) % 0.41/0.83 (define @t314 () (and @t7 @t313)) % 0.41/0.83 (define @t315 () (exists @t9 @t314)) % 0.41/0.83 (define @t316 () (forall @t9 (=> @t7 @t144))) % 0.41/0.83 (define @t317 () (not @t316)) % 0.41/0.83 (define @t318 () (=> @t317 @t315)) % 0.41/0.83 (define @t319 () (forall @t307 @t318)) % 0.41/0.83 (define @t320 () (= tptp.quantDeMorgan1 @t319)) % 0.41/0.83 (define @t321 () (not @t305)) % 0.41/0.83 (define @t322 () (forall @t9 (=> @t7 @t313))) % 0.41/0.83 (define @t323 () (=> @t322 @t321)) % 0.41/0.83 (define @t324 () (forall @t307 @t323)) % 0.41/0.83 (define @t325 () (= tptp.quantDeMorgan2 @t324)) % 0.41/0.83 (define @t326 () (=> @t321 @t322)) % 0.41/0.83 (define @t327 () (forall @t307 @t326)) % 0.41/0.83 (define @t328 () (= tptp.quantDeMorgan3 @t327)) % 0.41/0.83 (define @t329 () (=> @t315 @t317)) % 0.41/0.83 (define @t330 () (forall @t307 @t329)) % 0.41/0.83 (define @t331 () (= tptp.quantDeMorgan4 @t330)) % 0.41/0.83 (define @t332 () (_ @t49 @t174)) % 0.41/0.83 (define @t333 () (forall @t179 (=> @t173 @t332))) % 0.41/0.83 (define @t334 () (= tptp.prop2setI @t333)) % 0.41/0.83 (define @t335 () (_ tptp.set2prop @t174)) % 0.41/0.83 (define @t336 () (forall @t179 (=> @t173 @t335))) % 0.41/0.83 (define @t337 () (= tptp.prop2set2propI @t336)) % 0.41/0.83 (define @t338 () (=> @t169 @t148)) % 0.41/0.83 (define @t339 () (forall @t150 @t338)) % 0.41/0.83 (define @t340 () (= tptp.exuI1 @t339)) % 0.41/0.83 (define @t341 () (forall @t135 (=> @t144 @t166))) % 0.41/0.83 (define @t342 () (=> @t341 @t148)) % 0.41/0.83 (define @t343 () (=> @t186 @t342)) % 0.41/0.83 (define @t344 () (forall @t150 @t343)) % 0.41/0.83 (define @t345 () (= tptp.exuI3 @t344)) % 0.41/0.83 (define @t346 () (=> @t264 @t148)) % 0.41/0.83 (define @t347 () (forall @t150 @t346)) % 0.41/0.83 (define @t348 () (= tptp.exuI2 @t347)) % 0.41/0.83 (define @t349 () (_ @t20 @t1)) % 0.41/0.83 (define @t350 () (=> @t7 @t349)) % 0.41/0.83 (define @t351 () (forall @t135 (=> @t129 @t350))) % 0.41/0.83 (define @t352 () (=> @t3 @t351)) % 0.41/0.83 (define @t353 () (forall @t12 @t352)) % 0.41/0.83 (define @t354 () (= tptp.inCongP @t353)) % 0.41/0.83 (define @t355 () (= @t7 @t349)) % 0.41/0.83 (define @t356 () (forall @t135 (=> @t129 @t355))) % 0.41/0.83 (define @t357 () (=> @t3 @t356)) % 0.41/0.83 (define @t358 () (forall @t12 @t357)) % 0.41/0.83 (define @t359 () (= tptp.in__Cong @t358)) % 0.41/0.83 (define @t360 () (=> @t148 @t341)) % 0.41/0.83 (define @t361 () (forall @t150 @t360)) % 0.41/0.83 (define @t362 () (=> tptp.in__Cong @t361)) % 0.41/0.83 (define @t363 () (=> tptp.inCongP @t362)) % 0.41/0.83 (define @t364 () (=> tptp.exuI2 @t363)) % 0.41/0.83 (define @t365 () (=> tptp.exuI3 @t364)) % 0.41/0.83 (define @t366 () (=> tptp.exuI1 @t365)) % 0.41/0.83 (define @t367 () (=> tptp.notdallE @t366)) % 0.41/0.83 (define @t368 () (=> tptp.notdexE @t367)) % 0.41/0.83 (define @t369 () (=> tptp.prop2set2propI @t368)) % 0.41/0.83 (define @t370 () (=> tptp.prop2setI @t369)) % 0.41/0.83 (define @t371 () (=> tptp.quantDeMorgan4 @t370)) % 0.41/0.83 (define @t372 () (=> tptp.quantDeMorgan3 @t371)) % 0.41/0.83 (define @t373 () (=> tptp.quantDeMorgan2 @t372)) % 0.41/0.83 (define @t374 () (=> tptp.quantDeMorgan1 @t373)) % 0.41/0.83 (define @t375 () (=> tptp.vacuousDall @t374)) % 0.41/0.83 (define @t376 () (=> tptp.emptyE1 @t375)) % 0.41/0.83 (define @t377 () (=> tptp.upairsetIR @t376)) % 0.41/0.83 (define @t378 () (=> tptp.upairsetIL @t377)) % 0.41/0.83 (define @t379 () (=> tptp.upairsetE @t378)) % 0.41/0.83 (define @t380 () (=> tptp.singletonsswitch @t379)) % 0.41/0.83 (define @t381 () (=> tptp.eqinunit @t380)) % 0.41/0.83 (define @t382 () (=> tptp.notinsingleton @t381)) % 0.41/0.83 (define @t383 () (=> tptp.uniqinunit @t382)) % 0.41/0.83 (define @t384 () (=> tptp.nonemptyImpWitness @t383)) % 0.41/0.83 (define @t385 () (=> tptp.exuE2 @t384)) % 0.41/0.83 (define @t386 () (=> tptp.subPowSU @t385)) % 0.41/0.83 (define @t387 () (=> tptp.setunionE @t386)) % 0.41/0.83 (define @t388 () (=> tptp.setunionI @t387)) % 0.41/0.83 (define @t389 () (=> tptp.powersetE @t388)) % 0.41/0.83 (define @t390 () (=> tptp.emptyInPowerset @t389)) % 0.41/0.83 (define @t391 () (=> tptp.emptyinPowerset @t390)) % 0.41/0.83 (define @t392 () (=> tptp.powersetI @t391)) % 0.41/0.83 (define @t393 () (=> tptp.setoftrueEq @t392)) % 0.41/0.83 (define @t394 () (=> tptp.setadjoinOr @t393)) % 0.41/0.83 (define @t395 () (=> tptp.setadjoinE @t394)) % 0.41/0.83 (define @t396 () (=> tptp.setadjoinIR @t395)) % 0.41/0.83 (define @t397 () (=> tptp.emptyinunitempty @t396)) % 0.41/0.83 (define @t398 () (=> tptp.setadjoinIL @t397)) % 0.41/0.83 (define @t399 () (=> tptp.nonemptyI1 @t398)) % 0.41/0.83 (define @t400 () (=> tptp.nonemptyI @t399)) % 0.41/0.83 (define @t401 () (=> tptp.nonemptyE1 @t400)) % 0.41/0.83 (define @t402 () (=> tptp.setbeta @t401)) % 0.41/0.83 (define @t403 () (=> tptp.noeltsimpempty @t402)) % 0.41/0.83 (define @t404 () (=> tptp.emptyI @t403)) % 0.41/0.83 (define @t405 () (=> tptp.setext @t404)) % 0.41/0.83 (define @t406 () (=> tptp.exuE3e @t405)) % 0.41/0.83 (define @t407 () (=> tptp.notinemptyset @t406)) % 0.41/0.83 (define @t408 () (=> tptp.emptysetimpfalse @t407)) % 0.41/0.83 (define @t409 () (=> tptp.emptysetE @t408)) % 0.41/0.83 (define @t410 () (=> tptp.prop2setE @t409)) % 0.41/0.83 (define @t411 () (=> tptp.exuE1 @t410)) % 0.41/0.83 (define @t412 () (=> tptp.dsetconstrER @t411)) % 0.41/0.83 (define @t413 () (=> tptp.dsetconstrEL @t412)) % 0.41/0.83 (define @t414 () (=> tptp.dsetconstrI @t413)) % 0.41/0.83 (define @t415 () (=> tptp.descrp @t414)) % 0.41/0.83 (define @t416 () (=> tptp.wellorderingAx @t415)) % 0.41/0.83 (define @t417 () (=> tptp.foundationAx @t416)) % 0.41/0.83 (define @t418 () (=> tptp.replAx @t417)) % 0.41/0.83 (define @t419 () (=> tptp.omegaIndAx @t418)) % 0.41/0.83 (define @t420 () (=> tptp.omegaSAx @t419)) % 0.41/0.83 (define @t421 () (=> tptp.omega0Ax @t420)) % 0.41/0.83 (define @t422 () (=> tptp.setunionAx @t421)) % 0.41/0.83 (define @t423 () (=> tptp.powersetAx @t422)) % 0.41/0.83 (define @t424 () (=> tptp.setadjoinAx @t423)) % 0.41/0.83 (define @t425 () (=> tptp.emptysetAx @t424)) % 0.41/0.83 (define @t426 () (=> tptp.setextAx @t425)) % 0.41/0.83 (define @t427 () (not @t426)) % 0.41/0.83 (define @t428 () (lambda @t150 @t169)) % 0.41/0.83 (define @t429 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.41/0.83 (define @t430 () (@var "BOUND_VARIABLE_9208" $$unsorted)) % 0.41/0.83 (define @t431 () (@var "BOUND_VARIABLE_9206" $$unsorted)) % 0.41/0.83 (define @t432 () (= @t431 @t430)) % 0.41/0.83 (define @t433 () (not (_ @t143 @t430))) % 0.41/0.83 (define @t434 () (not (_ @t143 @t431))) % 0.41/0.83 (define @t435 () (@var "BOUND_VARIABLE_9197" $$unsorted)) % 0.41/0.83 (define @t436 () (_ @t143 @t19)) % 0.41/0.83 (define @t437 () (not @t436)) % 0.41/0.83 (define @t438 () (not (_ @t143 @t435))) % 0.41/0.83 (define @t439 () (@list @t143 @t435 @t431 @t430)) % 0.41/0.83 (define @t440 () (forall @t439 (or @t438 (not (forall @t70 (or @t437 (= @t19 @t435)))) @t434 @t433 @t432))) % 0.41/0.83 (define @t441 () (forall @t70 (or @t437 @t129))) % 0.41/0.83 (define @t442 () (not @t441)) % 0.41/0.83 (define @t443 () (_ @t143 @t4)) % 0.41/0.83 (define @t444 () (not @t443)) % 0.41/0.83 (define @t445 () (forall @t9 (or @t444 @t442))) % 0.41/0.83 (define @t446 () (not @t445)) % 0.41/0.83 (define @t447 () (@var "BOUND_VARIABLE_9038" $$unsorted)) % 0.41/0.83 (define @t448 () (@list @t143 @t447)) % 0.41/0.83 (define @t449 () (forall @t448 (or (not (forall @t70 (= @t436 (= @t19 @t447)))) @t446))) % 0.41/0.83 (define @t450 () (forall @t135 (or @t444 @t437 @t129))) % 0.41/0.83 (define @t451 () (not @t450)) % 0.41/0.83 (define @t452 () (@var "BOUND_VARIABLE_9022" $$unsorted)) % 0.41/0.83 (define @t453 () (not (_ @t143 @t452))) % 0.41/0.83 (define @t454 () (or @t453 @t451 @t446)) % 0.41/0.83 (define @t455 () (forall (@list @t143 @t452) @t454)) % 0.41/0.83 (define @t456 () (=> @t455 (=> @t449 @t440))) % 0.41/0.83 (define @t457 () (tptp.prop2set true)) % 0.41/0.83 (define @t458 () (tptp.set2prop @t457)) % 0.41/0.83 (define @t459 () (=> @t458 @t456)) % 0.41/0.83 (define @t460 () (tptp.in tptp.emptyset @t457)) % 0.41/0.83 (define @t461 () (=> @t460 @t459)) % 0.41/0.83 (define @t462 () (tptp.in @t4 tptp.emptyset)) % 0.41/0.83 (define @t463 () (not @t462)) % 0.41/0.83 (define @t464 () (forall @t310 (or @t463 @t443))) % 0.41/0.83 (define @t465 () (=> @t464 @t461)) % 0.41/0.83 (define @t466 () (@var "BOUND_VARIABLE_8931" $$unsorted)) % 0.41/0.83 (define @t467 () (not (_ @t143 @t466))) % 0.41/0.83 (define @t468 () (not (tptp.in @t466 @t2))) % 0.41/0.83 (define @t469 () (tptp.dsetconstr @t2 @t143)) % 0.41/0.83 (define @t470 () (not (= tptp.emptyset @t469))) % 0.41/0.83 (define @t471 () (or @t470 @t468 @t467)) % 0.41/0.83 (define @t472 () (@list @t2 @t143 @t466)) % 0.41/0.83 (define @t473 () (forall @t472 @t471)) % 0.41/0.83 (define @t474 () (=> @t473 @t465)) % 0.41/0.83 (define @t475 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.41/0.83 (define @t476 () (tptp.setadjoin @t4 @t475)) % 0.41/0.83 (define @t477 () (tptp.in @t19 @t476)) % 0.41/0.83 (define @t478 () (forall @t135 @t477)) % 0.41/0.83 (define @t479 () (=> @t478 @t474)) % 0.41/0.83 (define @t480 () (tptp.in @t4 @t476)) % 0.41/0.83 (define @t481 () (forall @t135 @t480)) % 0.41/0.83 (define @t482 () (=> @t481 @t479)) % 0.41/0.83 (define @t483 () (= @t19 @t287)) % 0.41/0.83 (define @t484 () (= @t4 @t287)) % 0.41/0.83 (define @t485 () (tptp.in @t287 @t476)) % 0.41/0.83 (define @t486 () (forall @t293 (or (not @t485) @t484 @t483))) % 0.41/0.83 (define @t487 () (=> @t486 @t482)) % 0.41/0.83 (define @t488 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.41/0.83 (define @t489 () (tptp.in @t19 @t488)) % 0.41/0.83 (define @t490 () (tptp.in @t4 @t475)) % 0.41/0.83 (define @t491 () (not @t490)) % 0.41/0.83 (define @t492 () (forall @t135 (or @t491 @t489))) % 0.41/0.83 (define @t493 () (=> @t492 @t487)) % 0.41/0.83 (define @t494 () (tptp.in @t19 @t475)) % 0.41/0.83 (define @t495 () (forall @t70 @t494)) % 0.41/0.83 (define @t496 () (=> @t495 @t493)) % 0.41/0.83 (define @t497 () (forall @t135 (or @t129 (not @t489)))) % 0.41/0.83 (define @t498 () (=> @t497 @t496)) % 0.41/0.83 (define @t499 () (forall @t135 (or @t491 @t129))) % 0.41/0.83 (define @t500 () (=> @t499 @t498)) % 0.41/0.83 (define @t501 () (tptp.in @t4 @t2)) % 0.41/0.83 (define @t502 () (not @t501)) % 0.41/0.83 (define @t503 () (forall @t9 @t502)) % 0.41/0.83 (define @t504 () (not @t503)) % 0.41/0.83 (define @t505 () (forall @t64 (or @t195 @t504))) % 0.41/0.83 (define @t506 () (=> @t505 @t500)) % 0.41/0.83 (define @t507 () (@var "BOUND_VARIABLE_8815" $$unsorted)) % 0.41/0.83 (define @t508 () (not (_ @t143 @t507))) % 0.41/0.83 (define @t509 () (forall @t70 (= @t129 @t436))) % 0.41/0.83 (define @t510 () (forall @t9 (not @t509))) % 0.41/0.83 (define @t511 () (not @t510)) % 0.41/0.83 (define @t512 () (@list @t143 @t507)) % 0.41/0.83 (define @t513 () (forall @t512 (or @t511 @t508 (not (forall @t70 (or @t437 (= @t19 @t507))))))) % 0.41/0.83 (define @t514 () (=> @t513 @t506)) % 0.41/0.83 (define @t515 () (tptp.setunion @t2)) % 0.41/0.83 (define @t516 () (tptp.powerset @t515)) % 0.41/0.83 (define @t517 () (tptp.in @t4 @t516)) % 0.41/0.83 (define @t518 () (forall @t46 (or @t502 @t517))) % 0.41/0.83 (define @t519 () (=> @t518 @t514)) % 0.41/0.83 (define @t520 () (tptp.in @t1 @t2)) % 0.41/0.83 (define @t521 () (not @t520)) % 0.41/0.83 (define @t522 () (tptp.in @t4 @t1)) % 0.41/0.83 (define @t523 () (not @t522)) % 0.41/0.83 (define @t524 () (forall @t41 (or @t523 @t521))) % 0.41/0.83 (define @t525 () (not @t524)) % 0.41/0.83 (define @t526 () (tptp.in @t4 @t515)) % 0.41/0.83 (define @t527 () (forall @t46 (or (not @t526) @t525))) % 0.41/0.83 (define @t528 () (=> @t527 @t519)) % 0.41/0.83 (define @t529 () (forall @t248 (or @t523 @t521 @t526))) % 0.41/0.83 (define @t530 () (=> @t529 @t528)) % 0.41/0.83 (define @t531 () (tptp.powerset @t2)) % 0.41/0.83 (define @t532 () (tptp.in @t1 @t531)) % 0.41/0.83 (define @t533 () (forall @t244 (or (not @t532) @t523 @t501))) % 0.41/0.83 (define @t534 () (=> @t533 @t530)) % 0.41/0.83 (define @t535 () (tptp.in tptp.emptyset @t531)) % 0.41/0.83 (define @t536 () (forall @t64 @t535)) % 0.41/0.83 (define @t537 () (=> @t536 @t534)) % 0.41/0.83 (define @t538 () (=> @t536 @t537)) % 0.41/0.83 (define @t539 () (forall @t9 (or @t523 @t501))) % 0.41/0.83 (define @t540 () (not @t539)) % 0.41/0.83 (define @t541 () (forall @t12 (or @t540 @t532))) % 0.41/0.83 (define @t542 () (=> @t541 @t538)) % 0.41/0.83 (define @t543 () (@var "BOUND_VARIABLE_18334" $$unsorted)) % 0.41/0.83 (define @t544 () (lambda (@list @t543) true)) % 0.41/0.83 (define @t545 () (tptp.dsetconstr @t2 @t544)) % 0.41/0.83 (define @t546 () (forall @t64 (= @t2 @t545))) % 0.41/0.83 (define @t547 () (=> @t546 @t542)) % 0.41/0.83 (define @t548 () (tptp.in @t19 @t2)) % 0.41/0.83 (define @t549 () (tptp.setadjoin @t4 @t2)) % 0.41/0.83 (define @t550 () (tptp.in @t19 @t549)) % 0.41/0.83 (define @t551 () (forall @t28 (or (not @t550) @t129 @t548))) % 0.41/0.83 (define @t552 () (=> @t551 @t547)) % 0.41/0.83 (define @t553 () (=> @t551 @t552)) % 0.41/0.83 (define @t554 () (not @t548)) % 0.41/0.83 (define @t555 () (forall @t28 (or @t554 @t550))) % 0.41/0.83 (define @t556 () (=> @t555 @t553)) % 0.41/0.83 (define @t557 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.41/0.83 (define @t558 () (tptp.in tptp.emptyset @t557)) % 0.41/0.83 (define @t559 () (=> @t220 @t556)) % 0.41/0.83 (define @t560 () (tptp.setadjoin @t4 @t19)) % 0.41/0.83 (define @t561 () (tptp.in @t4 @t560)) % 0.41/0.83 (define @t562 () (forall @t135 @t561)) % 0.41/0.83 (define @t563 () (=> @t562 @t559)) % 0.41/0.83 (define @t564 () (@var "BOUND_VARIABLE_8655" $$unsorted)) % 0.41/0.83 (define @t565 () (not (tptp.in @t564 tptp.emptyset))) % 0.41/0.83 (define @t566 () (@list @t564)) % 0.41/0.83 (define @t567 () (forall @t566 @t565)) % 0.41/0.83 (define @t568 () (=> @t567 @t563)) % 0.41/0.83 (define @t569 () (forall @t159 (or @t502 @t444 @t470))) % 0.41/0.83 (define @t570 () (=> @t569 @t568)) % 0.41/0.83 (define @t571 () (=> @t505 @t570)) % 0.41/0.83 (define @t572 () (tptp.in @t4 @t469)) % 0.41/0.83 (define @t573 () (forall @t159 (or @t502 (= @t443 @t572)))) % 0.41/0.83 (define @t574 () (=> @t573 @t571)) % 0.41/0.83 (define @t575 () (forall @t64 (or @t504 @t195))) % 0.41/0.83 (define @t576 () (=> @t575 @t574)) % 0.41/0.83 (define @t577 () (=> @t575 @t576)) % 0.41/0.83 (define @t578 () (forall @t9 (or @t502 @t522))) % 0.41/0.83 (define @t579 () (not @t578)) % 0.41/0.83 (define @t580 () (or @t579 @t540 @t3)) % 0.41/0.83 (define @t581 () (forall @t12 @t580)) % 0.41/0.83 (define @t582 () (=> @t581 @t577)) % 0.41/0.83 (define @t583 () (@var "BOUND_VARIABLE_8552" $$unsorted)) % 0.41/0.83 (define @t584 () (not (_ @t143 @t583))) % 0.41/0.83 (define @t585 () (forall @t9 @t444)) % 0.41/0.83 (define @t586 () (not @t585)) % 0.41/0.83 (define @t587 () (@list @t143 @t583)) % 0.41/0.83 (define @t588 () (forall @t587 (or @t586 @t584 (not (forall @t70 (or @t437 (= @t19 @t583))))))) % 0.41/0.83 (define @t589 () (=> @t588 @t582)) % 0.41/0.83 (define @t590 () (forall @t9 @t463)) % 0.41/0.83 (define @t591 () (=> @t590 @t589)) % 0.41/0.83 (define @t592 () (=> @t590 @t591)) % 0.41/0.83 (define @t593 () (=> @t590 @t592)) % 0.41/0.83 (define @t594 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.41/0.83 (define @t595 () (forall @t9 @t594)) % 0.41/0.83 (define @t596 () (=> @t595 @t593)) % 0.41/0.83 (define @t597 () (not @t572)) % 0.41/0.83 (define @t598 () (forall @t159 (or @t597 @t443))) % 0.41/0.83 (define @t599 () (=> @t598 @t596)) % 0.41/0.83 (define @t600 () (forall @t159 (or @t597 @t501))) % 0.41/0.83 (define @t601 () (=> @t600 @t599)) % 0.41/0.83 (define @t602 () (forall @t159 (or @t502 @t444 @t572))) % 0.41/0.83 (define @t603 () (=> @t602 @t601)) % 0.41/0.83 (define @t604 () (@var "BOUND_VARIABLE_8451" $$unsorted)) % 0.41/0.83 (define @t605 () (not (_ @t143 @t604))) % 0.41/0.83 (define @t606 () (_ @t143 (tptp.descr @t143))) % 0.41/0.83 (define @t607 () (@list @t143 @t604)) % 0.41/0.83 (define @t608 () (forall @t607 (or @t606 @t605 (not (forall @t70 (or @t437 (= @t19 @t604))))))) % 0.41/0.83 (define @t609 () (=> @t608 @t603)) % 0.41/0.83 (define @t610 () (@var "BOUND_VARIABLE_8371" $$unsorted)) % 0.41/0.83 (define @t611 () (tptp.in @t610 @t95)) % 0.41/0.83 (define @t612 () (not (tptp.in @t610 @t93))) % 0.41/0.83 (define @t613 () (tptp.in @t4 @t93)) % 0.41/0.83 (define @t614 () (tptp.in @t93 @t1)) % 0.41/0.83 (define @t615 () (not @t614)) % 0.41/0.83 (define @t616 () (or @t615 @t613 @t612 @t611)) % 0.41/0.83 (define @t617 () (@list @t93 @t610)) % 0.41/0.83 (define @t618 () (forall @t617 @t616)) % 0.41/0.83 (define @t619 () (not @t618)) % 0.41/0.83 (define @t620 () (tptp.in @t19 @t104)) % 0.41/0.83 (define @t621 () (tptp.in @t19 @t95)) % 0.41/0.83 (define @t622 () (forall @t70 (or (not @t621) (not @t620)))) % 0.41/0.83 (define @t623 () (not @t622)) % 0.41/0.83 (define @t624 () (tptp.in @t4 @t104)) % 0.41/0.83 (define @t625 () (not @t624)) % 0.41/0.83 (define @t626 () (tptp.in @t95 @t1)) % 0.41/0.83 (define @t627 () (not @t626)) % 0.41/0.83 (define @t628 () (not (forall @t112 (or @t627 @t625 @t623 @t619)))) % 0.41/0.83 (define @t629 () (@var "BOUND_VARIABLE_8400" $$unsorted)) % 0.41/0.83 (define @t630 () (not (tptp.in @t629 @t104))) % 0.41/0.83 (define @t631 () (forall @t9 (or @t625 @t501))) % 0.41/0.83 (define @t632 () (not @t631)) % 0.41/0.83 (define @t633 () (or @t632 @t630 @t628)) % 0.41/0.83 (define @t634 () (forall (@list @t104 @t629) @t633)) % 0.41/0.83 (define @t635 () (not @t634)) % 0.41/0.83 (define @t636 () (@var "BOUND_VARIABLE_8323" $$unsorted)) % 0.41/0.83 (define @t637 () (tptp.in @t636 @t104)) % 0.41/0.83 (define @t638 () (not (tptp.in @t636 @t95))) % 0.41/0.83 (define @t639 () (@var "BOUND_VARIABLE_8317" $$unsorted)) % 0.41/0.83 (define @t640 () (tptp.in @t639 @t95)) % 0.41/0.83 (define @t641 () (not (tptp.in @t639 @t104))) % 0.41/0.83 (define @t642 () (tptp.in @t104 @t1)) % 0.41/0.83 (define @t643 () (not @t642)) % 0.41/0.83 (define @t644 () (or @t643 @t627 @t641 @t640 @t638 @t637)) % 0.41/0.83 (define @t645 () (@list @t104 @t95 @t639 @t636)) % 0.41/0.83 (define @t646 () (forall @t645 @t644)) % 0.41/0.83 (define @t647 () (not @t646)) % 0.41/0.83 (define @t648 () (forall @t118 (or @t643 (= @t624 @t620)))) % 0.41/0.83 (define @t649 () (not @t648)) % 0.41/0.83 (define @t650 () (forall @t135 (or @t502 @t554 @t649 @t129))) % 0.41/0.83 (define @t651 () (not @t650)) % 0.41/0.83 (define @t652 () (@var "BOUND_VARIABLE_8266" $$unsorted)) % 0.41/0.83 (define @t653 () (tptp.in @t652 @t2)) % 0.41/0.83 (define @t654 () (not (tptp.in @t652 @t104))) % 0.41/0.83 (define @t655 () (or @t643 @t654 @t653)) % 0.41/0.83 (define @t656 () (@list @t104 @t652)) % 0.41/0.83 (define @t657 () (forall @t656 @t655)) % 0.41/0.83 (define @t658 () (not @t657)) % 0.41/0.83 (define @t659 () (or @t658 @t651 @t647 @t635)) % 0.41/0.83 (define @t660 () (forall @t64 (not (forall @t41 @t659)))) % 0.41/0.83 (define @t661 () (=> @t660 @t609)) % 0.41/0.83 (define @t662 () (forall @t9 (or @t523 @t502))) % 0.41/0.83 (define @t663 () (not @t662)) % 0.41/0.83 (define @t664 () (not (forall @t41 (or @t521 @t663)))) % 0.41/0.83 (define @t665 () (@var "BOUND_VARIABLE_8241" $$unsorted)) % 0.41/0.83 (define @t666 () (not (tptp.in @t665 @t2))) % 0.41/0.83 (define @t667 () (or @t666 @t664)) % 0.41/0.83 (define @t668 () (forall (@list @t2 @t665) @t667)) % 0.41/0.83 (define @t669 () (=> @t668 @t661)) % 0.41/0.83 (define @t670 () (_ @t67 @t19 @t4)) % 0.41/0.83 (define @t671 () (not (forall @t70 (or @t554 (not @t670))))) % 0.41/0.83 (define @t672 () (forall @t9 (= @t522 @t671))) % 0.41/0.83 (define @t673 () (not (forall @t41 (not @t672)))) % 0.41/0.83 (define @t674 () (@var "BOUND_VARIABLE_8131" $$unsorted)) % 0.41/0.83 (define @t675 () (= @t19 @t674)) % 0.41/0.83 (define @t676 () (_ @t67 @t4 @t19)) % 0.41/0.83 (define @t677 () (not (forall @t70 (or (not @t676) @t675)))) % 0.41/0.83 (define @t678 () (_ @t67 @t4 @t674)) % 0.41/0.83 (define @t679 () (@list @t674)) % 0.41/0.83 (define @t680 () (not (forall @t679 (or (not @t678) @t677)))) % 0.41/0.83 (define @t681 () (forall @t9 (or @t502 @t680))) % 0.41/0.83 (define @t682 () (forall @t81 (or (not @t681) @t673))) % 0.41/0.83 (define @t683 () (=> @t682 @t669)) % 0.41/0.83 (define @t684 () (@var "BOUND_VARIABLE_8112" $$unsorted)) % 0.41/0.83 (define @t685 () (tptp.in @t684 @t2)) % 0.41/0.83 (define @t686 () (not (tptp.in @t684 tptp.omega))) % 0.41/0.83 (define @t687 () (tptp.setadjoin @t4 @t4)) % 0.41/0.83 (define @t688 () (tptp.in @t687 @t2)) % 0.41/0.83 (define @t689 () (tptp.in @t4 tptp.omega)) % 0.41/0.83 (define @t690 () (not @t689)) % 0.41/0.83 (define @t691 () (forall @t9 (or @t690 @t502 @t688))) % 0.41/0.83 (define @t692 () (not @t691)) % 0.41/0.83 (define @t693 () (tptp.in tptp.emptyset @t2)) % 0.41/0.83 (define @t694 () (not @t693)) % 0.41/0.83 (define @t695 () (or @t694 @t692 @t686 @t685)) % 0.41/0.83 (define @t696 () (@list @t2 @t684)) % 0.41/0.83 (define @t697 () (forall @t696 @t695)) % 0.41/0.83 (define @t698 () (=> @t697 @t683)) % 0.41/0.83 (define @t699 () (tptp.in @t687 tptp.omega)) % 0.41/0.83 (define @t700 () (forall @t9 (or @t690 @t699))) % 0.41/0.83 (define @t701 () (=> @t700 @t698)) % 0.41/0.83 (define @t702 () (tptp.in tptp.emptyset tptp.omega)) % 0.41/0.83 (define @t703 () (=> @t50 @t701)) % 0.41/0.83 (define @t704 () (forall @t46 (= @t525 @t526))) % 0.41/0.83 (define @t705 () (=> @t704 @t703)) % 0.41/0.83 (define @t706 () (forall @t12 (= @t539 @t532))) % 0.41/0.83 (define @t707 () (=> @t706 @t705)) % 0.41/0.83 (define @t708 () (or @t129 @t548)) % 0.41/0.83 (define @t709 () (forall @t28 (= @t550 @t708))) % 0.41/0.83 (define @t710 () (=> @t709 @t707)) % 0.41/0.83 (define @t711 () (=> @t590 @t710)) % 0.41/0.83 (define @t712 () (forall @t9 (= @t501 @t522))) % 0.41/0.83 (define @t713 () (forall @t12 (or (not @t712) @t3))) % 0.41/0.83 (define @t714 () (=> @t713 @t711)) % 0.41/0.83 (define @t715 () (=> true (=> true @t440))) % 0.41/0.83 (define @t716 () (=> @t449 @t715)) % 0.41/0.83 (define @t717 () (=> @t455 @t716)) % 0.41/0.83 (define @t718 () (=> true (=> true @t717))) % 0.41/0.83 (define @t719 () (=> true @t718)) % 0.41/0.83 (define @t720 () (=> @t458 @t719)) % 0.41/0.83 (define @t721 () (=> @t460 @t720)) % 0.41/0.83 (define @t722 () (=> true (=> true @t721))) % 0.41/0.83 (define @t723 () (=> true @t722)) % 0.41/0.83 (define @t724 () (=> true @t723)) % 0.41/0.83 (define @t725 () (=> @t464 @t724)) % 0.41/0.83 (define @t726 () (=> @t473 @t725)) % 0.41/0.83 (define @t727 () (=> @t478 @t726)) % 0.41/0.83 (define @t728 () (=> @t481 @t727)) % 0.41/0.83 (define @t729 () (=> @t486 @t728)) % 0.41/0.83 (define @t730 () (=> @t492 @t729)) % 0.41/0.83 (define @t731 () (=> @t495 @t730)) % 0.41/0.83 (define @t732 () (=> @t497 @t731)) % 0.41/0.83 (define @t733 () (=> @t499 @t732)) % 0.41/0.83 (define @t734 () (=> @t505 @t733)) % 0.41/0.83 (define @t735 () (=> @t513 @t734)) % 0.41/0.83 (define @t736 () (=> @t518 @t735)) % 0.41/0.83 (define @t737 () (=> @t527 @t736)) % 0.41/0.83 (define @t738 () (=> @t529 @t737)) % 0.41/0.83 (define @t739 () (=> @t533 @t738)) % 0.41/0.83 (define @t740 () (=> @t536 @t739)) % 0.41/0.83 (define @t741 () (=> @t536 @t740)) % 0.41/0.83 (define @t742 () (=> @t541 @t741)) % 0.41/0.83 (define @t743 () (=> @t546 @t742)) % 0.41/0.83 (define @t744 () (=> @t551 @t743)) % 0.41/0.83 (define @t745 () (=> @t551 @t744)) % 0.41/0.83 (define @t746 () (=> @t555 @t745)) % 0.41/0.83 (define @t747 () (=> @t220 @t746)) % 0.41/0.83 (define @t748 () (=> @t562 @t747)) % 0.41/0.83 (define @t749 () (=> @t567 @t748)) % 0.41/0.83 (define @t750 () (=> @t569 @t749)) % 0.41/0.83 (define @t751 () (=> @t505 @t750)) % 0.41/0.83 (define @t752 () (=> @t573 @t751)) % 0.41/0.83 (define @t753 () (=> @t575 @t752)) % 0.41/0.83 (define @t754 () (=> @t575 @t753)) % 0.41/0.83 (define @t755 () (=> @t581 @t754)) % 0.41/0.83 (define @t756 () (=> @t588 @t755)) % 0.41/0.83 (define @t757 () (=> @t590 @t756)) % 0.41/0.83 (define @t758 () (=> @t590 @t757)) % 0.41/0.83 (define @t759 () (=> @t590 @t758)) % 0.41/0.83 (define @t760 () (=> @t595 @t759)) % 0.41/0.83 (define @t761 () (=> @t598 (=> true @t760))) % 0.41/0.83 (define @t762 () (=> @t600 @t761)) % 0.41/0.83 (define @t763 () (=> @t602 @t762)) % 0.41/0.83 (define @t764 () (=> @t608 @t763)) % 0.41/0.83 (define @t765 () (=> @t660 @t764)) % 0.41/0.83 (define @t766 () (=> @t668 @t765)) % 0.41/0.83 (define @t767 () (=> @t682 @t766)) % 0.41/0.83 (define @t768 () (=> @t697 @t767)) % 0.41/0.83 (define @t769 () (=> @t700 @t768)) % 0.41/0.83 (define @t770 () (=> @t50 @t769)) % 0.41/0.83 (define @t771 () (=> @t704 @t770)) % 0.41/0.83 (define @t772 () (=> @t706 @t771)) % 0.41/0.83 (define @t773 () (=> @t709 @t772)) % 0.41/0.83 (define @t774 () (=> @t590 @t773)) % 0.41/0.83 (define @t775 () (=> @t713 @t774)) % 0.41/0.83 (define @t776 () (@var "BOUND_VARIABLE_9109" $$unsorted)) % 0.41/0.83 (define @t777 () (@list @t1 @t776)) % 0.41/0.83 (define @t778 () (tptp.in @t776 @t1)) % 0.41/0.83 (define @t779 () (not true)) % 0.41/0.83 (define @t780 () (not (= @t1 @t1))) % 0.41/0.83 (define @t781 () (or @t780 (= @t778 @t778))) % 0.41/0.83 (define @t782 () (= (tptp.in @t776 @t2) @t778)) % 0.41/0.83 (define @t783 () (not @t3)) % 0.41/0.83 (define @t784 () (or @t783 @t783 @t782)) % 0.41/0.83 (define @t785 () (or @t783 @t782)) % 0.41/0.83 (define @t786 () (forall @t64 @t785)) % 0.41/0.83 (define @t787 () (forall @t777 @t786)) % 0.41/0.83 (define @t788 () (forall (@list @t1 @t776 @t2) @t785)) % 0.41/0.83 (define @t789 () (forall (@list @t2 @t1 @t776) @t785)) % 0.41/0.83 (define @t790 () (@list @t776)) % 0.41/0.83 (define @t791 () (forall @t790 @t785)) % 0.41/0.83 (define @t792 () (forall @t790 @t782)) % 0.41/0.83 (define @t793 () (@list @t19)) % 0.41/0.83 (define @t794 () (or @t783 @t792)) % 0.41/0.83 (define @t795 () (tptp.in @t19 @t1)) % 0.41/0.83 (define @t796 () (= @t548 @t795)) % 0.41/0.83 (define @t797 () (forall @t70 @t796)) % 0.41/0.83 (define @t798 () (not (= @t19 @t19))) % 0.41/0.83 (define @t799 () (or @t798 @t796)) % 0.41/0.83 (define @t800 () (= @t501 @t795)) % 0.41/0.83 (define @t801 () (or @t280 @t280 @t800)) % 0.41/0.83 (define @t802 () (or @t280 @t800)) % 0.41/0.83 (define @t803 () (forall @t9 @t802)) % 0.41/0.83 (define @t804 () (forall @t70 @t803)) % 0.41/0.83 (define @t805 () (@list @t19 @t4)) % 0.41/0.83 (define @t806 () (forall @t805 @t802)) % 0.41/0.83 (define @t807 () (or @t280 @t355)) % 0.41/0.83 (define @t808 () (=> tptp.in__Cong @t440)) % 0.41/0.83 (define @t809 () (@var "BOUND_VARIABLE_9072" $$unsorted)) % 0.41/0.83 (define @t810 () (@list @t1 @t809)) % 0.41/0.83 (define @t811 () (tptp.in @t809 @t1)) % 0.41/0.83 (define @t812 () (not @t811)) % 0.41/0.83 (define @t813 () (or @t812 @t811)) % 0.41/0.83 (define @t814 () (or @t780 @t812 @t811)) % 0.41/0.83 (define @t815 () (not (tptp.in @t809 @t2))) % 0.41/0.83 (define @t816 () (or @t783 @t783 @t815 @t811)) % 0.41/0.83 (define @t817 () (or @t783 @t815 @t811)) % 0.41/0.83 (define @t818 () (forall @t64 @t817)) % 0.41/0.83 (define @t819 () (forall @t810 @t818)) % 0.41/0.83 (define @t820 () (forall (@list @t1 @t809 @t2) @t817)) % 0.41/0.83 (define @t821 () (@list @t2 @t1 @t809)) % 0.41/0.83 (define @t822 () (or @t815 @t811)) % 0.41/0.83 (define @t823 () (or @t783 @t822)) % 0.41/0.83 (define @t824 () (forall @t821 @t823)) % 0.41/0.83 (define @t825 () (@list @t809)) % 0.41/0.83 (define @t826 () (forall @t825 @t823)) % 0.41/0.83 (define @t827 () (forall @t825 @t822)) % 0.41/0.83 (define @t828 () (or @t783 @t827)) % 0.41/0.83 (define @t829 () (or @t554 @t795)) % 0.41/0.83 (define @t830 () (forall @t70 @t829)) % 0.41/0.83 (define @t831 () (or @t798 @t554 @t795)) % 0.41/0.83 (define @t832 () (or @t280 @t280 @t502 @t795)) % 0.41/0.83 (define @t833 () (or @t280 @t502 @t795)) % 0.41/0.83 (define @t834 () (forall @t9 @t833)) % 0.41/0.83 (define @t835 () (forall @t70 @t834)) % 0.41/0.83 (define @t836 () (forall @t805 @t833)) % 0.41/0.83 (define @t837 () (or @t280 @t196 @t349)) % 0.41/0.83 (define @t838 () (=> tptp.inCongP @t808)) % 0.41/0.83 (define @t839 () (= @t447 @t19)) % 0.41/0.83 (define @t840 () (forall @t70 (= @t839 @t436))) % 0.41/0.83 (define @t841 () (not @t840)) % 0.41/0.83 (define @t842 () (or @t841 @t446)) % 0.41/0.83 (define @t843 () (forall @t448 @t842)) % 0.41/0.83 (define @t844 () (@list @t447)) % 0.41/0.83 (define @t845 () (forall @t844 @t842)) % 0.41/0.83 (define @t846 () (forall @t844 @t841)) % 0.41/0.83 (define @t847 () (@list @t4)) % 0.41/0.83 (define @t848 () (or @t846 @t446)) % 0.41/0.83 (define @t849 () (or @t313 @t442)) % 0.41/0.83 (define @t850 () (not @t153)) % 0.41/0.83 (define @t851 () (or @t850 @t129)) % 0.41/0.83 (define @t852 () (_ @t145 @t19)) % 0.41/0.83 (define @t853 () (not @t852)) % 0.41/0.83 (define @t854 () (or @t853 @t129)) % 0.41/0.83 (define @t855 () (forall @t70 @t854)) % 0.41/0.83 (define @t856 () (not @t855)) % 0.41/0.83 (define @t857 () (_ @t145 @t4)) % 0.41/0.83 (define @t858 () (not @t857)) % 0.41/0.83 (define @t859 () (or @t858 @t856)) % 0.41/0.83 (define @t860 () (forall @t9 @t859)) % 0.41/0.83 (define @t861 () (not @t860)) % 0.41/0.83 (define @t862 () (lambda @t150 @t446)) % 0.41/0.83 (define @t863 () (_ @t862 @t145)) % 0.41/0.83 (define @t864 () (= @t153 @t129)) % 0.41/0.83 (define @t865 () (=> @t264 @t863)) % 0.41/0.83 (define @t866 () (forall @t150 @t865)) % 0.41/0.83 (define @t867 () (and @t144 @t441)) % 0.41/0.83 (define @t868 () (forall @t9 (not @t867))) % 0.41/0.83 (define @t869 () (not @t868)) % 0.41/0.83 (define @t870 () (=> tptp.exuI2 @t838)) % 0.41/0.83 (define @t871 () (@list @t452)) % 0.41/0.83 (define @t872 () (forall @t871 @t454)) % 0.41/0.83 (define @t873 () (forall @t871 @t453)) % 0.41/0.83 (define @t874 () (or @t873 @t451 @t446)) % 0.41/0.83 (define @t875 () (or @t585 @t451 @t446)) % 0.41/0.83 (define @t876 () (=> @t450 @t446)) % 0.41/0.83 (define @t877 () (or @t313 @t850 @t129)) % 0.41/0.83 (define @t878 () (=> @t341 @t863)) % 0.41/0.83 (define @t879 () (forall @t9 @t313)) % 0.41/0.83 (define @t880 () (not @t879)) % 0.41/0.83 (define @t881 () (=> @t186 @t878)) % 0.41/0.83 (define @t882 () (forall @t150 @t881)) % 0.41/0.83 (define @t883 () (=> tptp.exuI3 @t870)) % 0.41/0.83 (define @t884 () (not @t446)) % 0.41/0.83 (define @t885 () (=> @t169 @t863)) % 0.41/0.83 (define @t886 () (forall @t150 @t885)) % 0.41/0.83 (define @t887 () (=> tptp.exuI1 @t883)) % 0.41/0.83 (define @t888 () (forall @t9 (or @t502 @t443))) % 0.41/0.83 (define @t889 () (not @t888)) % 0.41/0.83 (define @t890 () (or @t196 @t144)) % 0.41/0.83 (define @t891 () (forall @t9 (not @t314))) % 0.41/0.83 (define @t892 () (not @t891)) % 0.41/0.83 (define @t893 () (=> tptp.notdallE @t887)) % 0.41/0.83 (define @t894 () (forall @t9 (or @t502 @t444))) % 0.41/0.83 (define @t895 () (or @t196 @t313)) % 0.41/0.83 (define @t896 () (forall @t9 (not @t304))) % 0.41/0.83 (define @t897 () (not @t896)) % 0.41/0.83 (define @t898 () (=> tptp.notdexE @t893)) % 0.41/0.83 (define @t899 () (or @t779 @t458)) % 0.41/0.83 (define @t900 () (tptp.prop2set @t173)) % 0.41/0.83 (define @t901 () (tptp.set2prop @t900)) % 0.41/0.83 (define @t902 () (not @t173)) % 0.41/0.83 (define @t903 () (not (= @t173 true))) % 0.41/0.83 (define @t904 () (or @t902 @t902 @t901)) % 0.41/0.83 (define @t905 () (or @t902 @t901)) % 0.41/0.83 (define @t906 () (or @t902 @t335)) % 0.41/0.83 (define @t907 () (=> tptp.prop2set2propI @t898)) % 0.41/0.83 (define @t908 () (or @t779 @t460)) % 0.41/0.83 (define @t909 () (tptp.in tptp.emptyset @t900)) % 0.41/0.83 (define @t910 () (or @t902 @t902 @t909)) % 0.41/0.83 (define @t911 () (or @t902 @t909)) % 0.41/0.83 (define @t912 () (or @t902 @t332)) % 0.41/0.83 (define @t913 () (=> tptp.prop2setI @t907)) % 0.41/0.83 (define @t914 () (=> tptp.quantDeMorgan4 @t913)) % 0.41/0.83 (define @t915 () (=> tptp.quantDeMorgan3 @t914)) % 0.41/0.83 (define @t916 () (=> tptp.quantDeMorgan2 @t915)) % 0.41/0.83 (define @t917 () (=> tptp.quantDeMorgan1 @t916)) % 0.41/0.83 (define @t918 () (or @t16 @t144)) % 0.41/0.83 (define @t919 () (=> tptp.vacuousDall @t917)) % 0.41/0.83 (define @t920 () (or @t468 @t467)) % 0.41/0.83 (define @t921 () (or @t920 @t470)) % 0.41/0.83 (define @t922 () (forall @t472 @t921)) % 0.41/0.83 (define @t923 () (@list @t466)) % 0.41/0.83 (define @t924 () (forall @t923 @t921)) % 0.41/0.83 (define @t925 () (forall @t923 @t920)) % 0.41/0.83 (define @t926 () (or @t925 @t470)) % 0.41/0.83 (define @t927 () (lambda @t9 @t443)) % 0.41/0.83 (define @t928 () (tptp.dsetconstr @t2 @t927)) % 0.41/0.83 (define @t929 () (= tptp.emptyset @t928)) % 0.41/0.83 (define @t930 () (not @t929)) % 0.41/0.83 (define @t931 () (or @t894 @t930)) % 0.41/0.83 (define @t932 () (= tptp.emptyset @t302)) % 0.41/0.83 (define @t933 () (not @t932)) % 0.41/0.83 (define @t934 () (or @t894 @t933)) % 0.41/0.83 (define @t935 () (not @t894)) % 0.41/0.83 (define @t936 () (=> tptp.emptyE1 @t919)) % 0.41/0.83 (define @t937 () (=> tptp.upairsetIR @t936)) % 0.41/0.83 (define @t938 () (=> tptp.upairsetIL @t937)) % 0.41/0.83 (define @t939 () (not @t291)) % 0.41/0.83 (define @t940 () (or @t939 @t484 @t483)) % 0.41/0.83 (define @t941 () (or @t484 @t483)) % 0.41/0.83 (define @t942 () (=> tptp.upairsetE @t938)) % 0.41/0.83 (define @t943 () (not @t274)) % 0.41/0.83 (define @t944 () (or @t943 @t278)) % 0.41/0.83 (define @t945 () (=> tptp.singletonsswitch @t942)) % 0.41/0.83 (define @t946 () (or @t798 @t494)) % 0.41/0.83 (define @t947 () (or @t280 @t280 @t490)) % 0.41/0.83 (define @t948 () (or @t280 @t490)) % 0.41/0.83 (define @t949 () (forall @t9 @t948)) % 0.41/0.83 (define @t950 () (forall @t70 @t949)) % 0.41/0.83 (define @t951 () (forall @t805 @t948)) % 0.41/0.83 (define @t952 () (or @t280 @t274)) % 0.41/0.83 (define @t953 () (=> tptp.eqinunit @t945)) % 0.41/0.83 (define @t954 () (or @t129 @t279)) % 0.41/0.83 (define @t955 () (=> tptp.notinsingleton @t953)) % 0.41/0.83 (define @t956 () (or @t943 @t129)) % 0.41/0.83 (define @t957 () (=> tptp.uniqinunit @t955)) % 0.41/0.83 (define @t958 () (not @t195)) % 0.41/0.83 (define @t959 () (not @t197)) % 0.41/0.83 (define @t960 () (_ @t429 @t2)) % 0.41/0.83 (define @t961 () (=> @t960 @t269)) % 0.41/0.83 (define @t962 () (forall @t64 @t961)) % 0.41/0.83 (define @t963 () (=> tptp.nonemptyImpWitness @t957)) % 0.41/0.83 (define @t964 () (or @t437 (= @t507 @t19))) % 0.41/0.83 (define @t965 () (forall @t70 @t964)) % 0.41/0.83 (define @t966 () (not @t965)) % 0.41/0.83 (define @t967 () (or @t511 @t508 @t966)) % 0.41/0.83 (define @t968 () (or @t508 @t966)) % 0.41/0.83 (define @t969 () (or @t968 @t511)) % 0.41/0.83 (define @t970 () (forall @t512 @t969)) % 0.41/0.83 (define @t971 () (@list @t507)) % 0.41/0.83 (define @t972 () (forall @t971 @t969)) % 0.41/0.83 (define @t973 () (forall @t971 @t968)) % 0.41/0.83 (define @t974 () (or @t973 @t511)) % 0.41/0.83 (define @t975 () (=> @t863 @t264)) % 0.41/0.83 (define @t976 () (forall @t150 @t975)) % 0.41/0.83 (define @t977 () (=> tptp.exuE2 @t963)) % 0.41/0.83 (define @t978 () (or @t196 @t259)) % 0.41/0.83 (define @t979 () (=> tptp.subPowSU @t977)) % 0.41/0.83 (define @t980 () (not @t44)) % 0.41/0.83 (define @t981 () (or @t980 @t525)) % 0.41/0.83 (define @t982 () (not false)) % 0.41/0.83 (define @t983 () (and @t982 @t525)) % 0.41/0.83 (define @t984 () (or @t983 false)) % 0.41/0.83 (define @t985 () (and @t902 @t525)) % 0.41/0.83 (define @t986 () (not (= @t173 false))) % 0.41/0.83 (define @t987 () (or @t173 @t985 @t173)) % 0.41/0.83 (define @t988 () (or @t985 @t173)) % 0.41/0.83 (define @t989 () (or @t173 @t524)) % 0.41/0.83 (define @t990 () (not @t39)) % 0.41/0.83 (define @t991 () (not @t6)) % 0.41/0.83 (define @t992 () (or @t991 @t990)) % 0.41/0.83 (define @t993 () (forall @t41 @t992)) % 0.41/0.83 (define @t994 () (or @t173 @t993)) % 0.41/0.83 (define @t995 () (or @t173 @t992)) % 0.41/0.83 (define @t996 () (or @t991 @t990 @t173)) % 0.41/0.83 (define @t997 () (=> tptp.setunionE @t979)) % 0.41/0.83 (define @t998 () (or @t991 @t990 @t44)) % 0.41/0.83 (define @t999 () (=> tptp.setunionI @t997)) % 0.41/0.83 (define @t1000 () (not @t35)) % 0.41/0.83 (define @t1001 () (or @t1000 @t991 @t7)) % 0.41/0.83 (define @t1002 () (or @t991 @t7)) % 0.41/0.83 (define @t1003 () (=> tptp.powersetE @t999)) % 0.41/0.83 (define @t1004 () (=> tptp.emptyInPowerset @t1003)) % 0.41/0.83 (define @t1005 () (=> tptp.emptyinPowerset @t1004)) % 0.41/0.83 (define @t1006 () (or @t540 @t35)) % 0.41/0.83 (define @t1007 () (=> tptp.powersetI @t1005)) % 0.41/0.83 (define @t1008 () (_ @t155 @t544)) % 0.41/0.83 (define @t1009 () (= @t2 @t1008)) % 0.41/0.83 (define @t1010 () (=> tptp.setoftrueEq @t1007)) % 0.41/0.83 (define @t1011 () (not @t26)) % 0.41/0.83 (define @t1012 () (or @t1011 @t129 @t21)) % 0.41/0.83 (define @t1013 () (or @t129 @t21)) % 0.41/0.83 (define @t1014 () (=> tptp.setadjoinOr @t1010)) % 0.41/0.83 (define @t1015 () (or @t1011 @t129 @t548)) % 0.41/0.83 (define @t1016 () (and @t548 @t982)) % 0.41/0.83 (define @t1017 () (and @t129 @t982)) % 0.41/0.83 (define @t1018 () (or @t1017 @t1016)) % 0.41/0.83 (define @t1019 () (or @t1017 @t1016 false)) % 0.41/0.83 (define @t1020 () (and @t548 @t902)) % 0.41/0.83 (define @t1021 () (and @t129 @t902)) % 0.41/0.83 (define @t1022 () (or @t173 @t1021 @t1020 @t173)) % 0.41/0.83 (define @t1023 () (or @t1021 @t1020 @t173)) % 0.41/0.83 (define @t1024 () (and @t21 @t902)) % 0.41/0.83 (define @t1025 () (or @t1021 @t1024 @t173)) % 0.41/0.83 (define @t1026 () (=> @t129 @t173)) % 0.41/0.83 (define @t1027 () (=> tptp.setadjoinE @t1014)) % 0.41/0.83 (define @t1028 () (not @t21)) % 0.41/0.83 (define @t1029 () (or @t1028 @t26)) % 0.41/0.83 (define @t1030 () (=> tptp.setadjoinIR @t1027)) % 0.41/0.83 (define @t1031 () (=> tptp.emptyinunitempty @t1030)) % 0.41/0.83 (define @t1032 () (=> tptp.setadjoinIL @t1031)) % 0.41/0.83 (define @t1033 () (not (= tptp.emptyset tptp.emptyset))) % 0.41/0.83 (define @t1034 () (or @t565 @t1033)) % 0.41/0.83 (define @t1035 () (not (tptp.in @t564 @t2))) % 0.41/0.83 (define @t1036 () (or @t958 @t1035 @t958)) % 0.41/0.83 (define @t1037 () (or @t1035 @t958)) % 0.41/0.83 (define @t1038 () (forall @t64 @t1037)) % 0.41/0.83 (define @t1039 () (forall @t566 @t1038)) % 0.41/0.83 (define @t1040 () (forall (@list @t564 @t2) @t1037)) % 0.41/0.83 (define @t1041 () (forall (@list @t2 @t564) @t1037)) % 0.41/0.83 (define @t1042 () (forall @t566 @t1037)) % 0.41/0.83 (define @t1043 () (forall @t566 @t1035)) % 0.41/0.83 (define @t1044 () (or @t1043 @t958)) % 0.41/0.83 (define @t1045 () (not @t504)) % 0.41/0.83 (define @t1046 () (=> @t89 @t960)) % 0.41/0.83 (define @t1047 () (forall @t64 @t1046)) % 0.41/0.83 (define @t1048 () (=> tptp.nonemptyI1 @t1032)) % 0.41/0.83 (define @t1049 () (lambda @t70 @t436)) % 0.41/0.83 (define @t1050 () (tptp.dsetconstr @t2 @t1049)) % 0.41/0.83 (define @t1051 () (= tptp.emptyset @t1050)) % 0.41/0.83 (define @t1052 () (not @t1051)) % 0.41/0.83 (define @t1053 () (or @t502 @t444 @t1052)) % 0.41/0.83 (define @t1054 () (= tptp.emptyset @t156)) % 0.41/0.83 (define @t1055 () (not @t1054)) % 0.41/0.83 (define @t1056 () (or @t196 @t313 @t1055)) % 0.41/0.83 (define @t1057 () (=> @t144 @t1055)) % 0.41/0.83 (define @t1058 () (not (= @t156 tptp.emptyset))) % 0.41/0.83 (define @t1059 () (_ @t429 @t156)) % 0.41/0.83 (define @t1060 () (=> @t144 @t1059)) % 0.41/0.83 (define @t1061 () (=> @t7 @t1060)) % 0.41/0.83 (define @t1062 () (forall @t159 @t1061)) % 0.41/0.83 (define @t1063 () (=> tptp.nonemptyI @t1048)) % 0.41/0.83 (define @t1064 () (=> @t960 @t89)) % 0.41/0.83 (define @t1065 () (forall @t64 @t1064)) % 0.41/0.83 (define @t1066 () (=> tptp.nonemptyE1 @t1063)) % 0.41/0.83 (define @t1067 () (tptp.in @t4 @t1050)) % 0.41/0.83 (define @t1068 () (= @t443 @t1067)) % 0.41/0.83 (define @t1069 () (or @t502 @t1068)) % 0.41/0.83 (define @t1070 () (= @t144 @t157)) % 0.41/0.83 (define @t1071 () (or @t196 @t1070)) % 0.41/0.83 (define @t1072 () (=> tptp.setbeta @t1066)) % 0.41/0.83 (define @t1073 () (=> tptp.noeltsimpempty @t1072)) % 0.41/0.83 (define @t1074 () (=> tptp.emptyI @t1073)) % 0.41/0.83 (define @t1075 () (=> @t539 @t3)) % 0.41/0.83 (define @t1076 () (or @t196 @t6)) % 0.41/0.83 (define @t1077 () (=> tptp.setext @t1074)) % 0.41/0.83 (define @t1078 () (or @t437 (= @t583 @t19))) % 0.41/0.83 (define @t1079 () (forall @t70 @t1078)) % 0.41/0.83 (define @t1080 () (not @t1079)) % 0.41/0.83 (define @t1081 () (or @t586 @t584 @t1080)) % 0.41/0.83 (define @t1082 () (or @t584 @t1080)) % 0.41/0.83 (define @t1083 () (or @t1082 @t586)) % 0.41/0.83 (define @t1084 () (forall @t587 @t1083)) % 0.41/0.83 (define @t1085 () (@list @t583)) % 0.41/0.83 (define @t1086 () (forall @t1085 @t1083)) % 0.41/0.83 (define @t1087 () (forall @t1085 @t1082)) % 0.41/0.83 (define @t1088 () (or @t1087 @t586)) % 0.41/0.83 (define @t1089 () (=> @t863 @t186)) % 0.41/0.83 (define @t1090 () (forall @t150 @t1089)) % 0.41/0.83 (define @t1091 () (=> tptp.exuE3e @t1077)) % 0.41/0.83 (define @t1092 () (=> tptp.notinemptyset @t1091)) % 0.41/0.83 (define @t1093 () (=> tptp.emptysetimpfalse @t1092)) % 0.41/0.83 (define @t1094 () (or @t173 @t173)) % 0.41/0.83 (define @t1095 () (=> tptp.emptysetE @t1093)) % 0.41/0.83 (define @t1096 () (or @t594 false)) % 0.41/0.83 (define @t1097 () (tptp.in @t4 @t900)) % 0.41/0.83 (define @t1098 () (not @t1097)) % 0.41/0.83 (define @t1099 () (or @t173 @t1098 @t173)) % 0.41/0.83 (define @t1100 () (or @t1098 @t173)) % 0.41/0.83 (define @t1101 () (forall @t179 @t1100)) % 0.41/0.83 (define @t1102 () (forall @t9 @t1101)) % 0.41/0.83 (define @t1103 () (forall (@list @t4 @t173) @t1100)) % 0.41/0.83 (define @t1104 () (not @t175)) % 0.41/0.83 (define @t1105 () (or @t1104 @t173)) % 0.41/0.83 (define @t1106 () (=> tptp.prop2setE @t1095)) % 0.41/0.83 (define @t1107 () (=> @t863 @t169)) % 0.41/0.83 (define @t1108 () (forall @t150 @t1107)) % 0.41/0.83 (define @t1109 () (=> tptp.exuE1 @t1106)) % 0.41/0.83 (define @t1110 () (not @t1067)) % 0.41/0.83 (define @t1111 () (or @t1110 @t443)) % 0.41/0.83 (define @t1112 () (not @t157)) % 0.41/0.83 (define @t1113 () (or @t1112 @t144)) % 0.41/0.83 (define @t1114 () (=> tptp.dsetconstrER @t1109)) % 0.41/0.83 (define @t1115 () (or @t1110 @t501)) % 0.41/0.83 (define @t1116 () (or @t1112 @t7)) % 0.41/0.83 (define @t1117 () (=> tptp.dsetconstrEL @t1114)) % 0.41/0.83 (define @t1118 () (or @t502 @t444 @t1067)) % 0.41/0.83 (define @t1119 () (or @t196 @t313 @t157)) % 0.41/0.83 (define @t1120 () (=> tptp.dsetconstrI @t1117)) % 0.41/0.83 (define @t1121 () (or @t437 (= @t604 @t19))) % 0.41/0.83 (define @t1122 () (forall @t70 @t1121)) % 0.41/0.83 (define @t1123 () (not @t1122)) % 0.41/0.83 (define @t1124 () (or @t606 @t605 @t1123)) % 0.41/0.83 (define @t1125 () (or @t605 @t1123)) % 0.41/0.83 (define @t1126 () (or @t1125 @t606)) % 0.41/0.83 (define @t1127 () (forall @t607 @t1126)) % 0.41/0.83 (define @t1128 () (@list @t604)) % 0.41/0.83 (define @t1129 () (forall @t1128 @t1126)) % 0.41/0.83 (define @t1130 () (forall @t1128 @t1125)) % 0.41/0.83 (define @t1131 () (or @t1130 @t606)) % 0.41/0.83 (define @t1132 () (tptp.descr @t927)) % 0.41/0.83 (define @t1133 () (_ @t143 @t1132)) % 0.41/0.83 (define @t1134 () (or @t445 @t1133)) % 0.41/0.83 (define @t1135 () (or @t445 @t147)) % 0.41/0.83 (define @t1136 () (=> @t863 @t147)) % 0.41/0.83 (define @t1137 () (forall @t150 @t1136)) % 0.41/0.83 (define @t1138 () (=> tptp.descrp @t1120)) % 0.41/0.83 (define @t1139 () (and @t657 @t650 @t646 @t634)) % 0.41/0.83 (define @t1140 () (forall @t41 (not @t1139))) % 0.41/0.83 (define @t1141 () (not @t1140)) % 0.41/0.83 (define @t1142 () (@list @t629)) % 0.41/0.83 (define @t1143 () (forall @t1142 @t633)) % 0.41/0.83 (define @t1144 () (forall @t1142 @t630)) % 0.41/0.83 (define @t1145 () (or @t632 @t1144 @t628)) % 0.41/0.83 (define @t1146 () (forall @t9 @t625)) % 0.41/0.83 (define @t1147 () (or @t632 @t1146 @t628)) % 0.41/0.83 (define @t1148 () (not @t1146)) % 0.41/0.83 (define @t1149 () (and @t631 @t1148)) % 0.41/0.83 (define @t1150 () (not @t109)) % 0.41/0.83 (define @t1151 () (not @t110)) % 0.41/0.83 (define @t1152 () (or @t1151 @t1150 @t623 @t619)) % 0.41/0.83 (define @t1153 () (and @t110 @t109 @t622 @t618)) % 0.41/0.83 (define @t1154 () (forall @t112 (not @t1153))) % 0.41/0.83 (define @t1155 () (not @t1154)) % 0.41/0.83 (define @t1156 () (or @t612 @t611)) % 0.41/0.83 (define @t1157 () (or @t615 @t1156 @t613)) % 0.41/0.83 (define @t1158 () (forall @t617 @t1157)) % 0.41/0.83 (define @t1159 () (@list @t610)) % 0.41/0.83 (define @t1160 () (forall @t1159 @t1157)) % 0.41/0.83 (define @t1161 () (forall @t1159 @t1156)) % 0.41/0.83 (define @t1162 () (or @t615 @t1161 @t613)) % 0.41/0.83 (define @t1163 () (tptp.in @t19 @t93)) % 0.41/0.83 (define @t1164 () (forall @t70 (or (not @t1163) @t621))) % 0.41/0.83 (define @t1165 () (not @t100)) % 0.41/0.83 (define @t1166 () (or @t1165 @t1164 @t94)) % 0.41/0.83 (define @t1167 () (or @t1164 @t94)) % 0.41/0.83 (define @t1168 () (not @t97)) % 0.41/0.83 (define @t1169 () (or @t1168 @t96)) % 0.41/0.83 (define @t1170 () (not @t105)) % 0.41/0.83 (define @t1171 () (not @t96)) % 0.41/0.83 (define @t1172 () (or @t1171 @t1170)) % 0.41/0.83 (define @t1173 () (forall @t70 (not @t106))) % 0.41/0.83 (define @t1174 () (not @t1173)) % 0.41/0.83 (define @t1175 () (forall @t9 @t1150)) % 0.41/0.83 (define @t1176 () (not @t1175)) % 0.41/0.83 (define @t1177 () (or @t1150 @t7)) % 0.41/0.83 (define @t1178 () (or @t638 @t637)) % 0.41/0.83 (define @t1179 () (or @t641 @t640)) % 0.41/0.83 (define @t1180 () (or @t643 @t627 @t1179 @t1178)) % 0.41/0.83 (define @t1181 () (forall @t645 @t1180)) % 0.41/0.83 (define @t1182 () (forall (@list @t639 @t636) @t1180)) % 0.41/0.83 (define @t1183 () (forall (@list @t636) @t1178)) % 0.41/0.83 (define @t1184 () (forall (@list @t639) @t1179)) % 0.41/0.83 (define @t1185 () (or @t643 @t627 @t1184 @t1183)) % 0.41/0.83 (define @t1186 () (tptp.in @t4 @t95)) % 0.41/0.83 (define @t1187 () (forall @t9 (or (not @t1186) @t624))) % 0.41/0.83 (define @t1188 () (forall @t9 (or @t625 @t1186))) % 0.41/0.83 (define @t1189 () (not @t124)) % 0.41/0.83 (define @t1190 () (or @t1189 @t1151 @t1188 @t1187)) % 0.41/0.83 (define @t1191 () (or @t1188 @t1187)) % 0.41/0.83 (define @t1192 () (not @t120)) % 0.41/0.83 (define @t1193 () (or @t1192 @t109)) % 0.41/0.83 (define @t1194 () (or @t1150 @t120)) % 0.41/0.83 (define @t1195 () (or @t196 @t1028 @t649 @t129)) % 0.41/0.83 (define @t1196 () (=> @t648 @t129)) % 0.41/0.83 (define @t1197 () (or @t1189 @t130)) % 0.41/0.83 (define @t1198 () (or @t654 @t653)) % 0.41/0.83 (define @t1199 () (or @t643 @t1198)) % 0.41/0.83 (define @t1200 () (forall @t656 @t1199)) % 0.41/0.83 (define @t1201 () (@list @t652)) % 0.41/0.83 (define @t1202 () (forall @t1201 @t1199)) % 0.41/0.83 (define @t1203 () (forall @t1201 @t1198)) % 0.41/0.83 (define @t1204 () (or @t643 @t1203)) % 0.41/0.83 (define @t1205 () (or @t1189 @t631)) % 0.41/0.83 (define @t1206 () (=> tptp.wellorderingAx @t1138)) % 0.41/0.83 (define @t1207 () (@list @t665)) % 0.41/0.83 (define @t1208 () (forall @t1207 @t667)) % 0.41/0.83 (define @t1209 () (forall @t1207 @t666)) % 0.41/0.83 (define @t1210 () (or @t1209 @t664)) % 0.41/0.83 (define @t1211 () (or @t990 @t663)) % 0.41/0.83 (define @t1212 () (and @t39 @t662)) % 0.41/0.83 (define @t1213 () (forall @t41 (not @t1212))) % 0.41/0.83 (define @t1214 () (not @t1213)) % 0.41/0.83 (define @t1215 () (or @t991 @t196)) % 0.41/0.83 (define @t1216 () (forall @t9 (not @t84))) % 0.41/0.83 (define @t1217 () (not @t1216)) % 0.41/0.83 (define @t1218 () (=> tptp.foundationAx @t1206)) % 0.41/0.83 (define @t1219 () (= @t6 @t671)) % 0.41/0.83 (define @t1220 () (not @t68)) % 0.41/0.83 (define @t1221 () (or @t1028 @t1220)) % 0.41/0.83 (define @t1222 () (forall @t70 (not @t69))) % 0.41/0.83 (define @t1223 () (not @t1222)) % 0.41/0.83 (define @t1224 () (or @t196 @t680)) % 0.41/0.83 (define @t1225 () (_ @t75 @t674)) % 0.41/0.83 (define @t1226 () (not @t1225)) % 0.41/0.83 (define @t1227 () (or @t1226 @t677)) % 0.41/0.83 (define @t1228 () (not @t76)) % 0.41/0.83 (define @t1229 () (or @t1228 @t675)) % 0.41/0.83 (define @t1230 () (_ @t77 @t19)) % 0.41/0.83 (define @t1231 () (not @t1230)) % 0.41/0.83 (define @t1232 () (or @t1231 @t675)) % 0.41/0.83 (define @t1233 () (forall @t70 @t1232)) % 0.41/0.83 (define @t1234 () (not @t1233)) % 0.41/0.83 (define @t1235 () (_ @t77 @t674)) % 0.41/0.83 (define @t1236 () (not @t1235)) % 0.41/0.83 (define @t1237 () (or @t1236 @t1234)) % 0.41/0.83 (define @t1238 () (forall @t679 @t1237)) % 0.41/0.83 (define @t1239 () (not @t1238)) % 0.41/0.83 (define @t1240 () (not (_ @t143 @t674))) % 0.41/0.83 (define @t1241 () (or @t437 (= @t674 @t19))) % 0.41/0.83 (define @t1242 () (forall @t70 @t1241)) % 0.41/0.83 (define @t1243 () (not @t1242)) % 0.41/0.83 (define @t1244 () (or @t1240 @t1243)) % 0.41/0.83 (define @t1245 () (forall @t679 @t1244)) % 0.41/0.83 (define @t1246 () (not @t1245)) % 0.41/0.83 (define @t1247 () (=> @t7 (_ @t862 @t77))) % 0.41/0.83 (define @t1248 () (forall @t9 @t1247)) % 0.41/0.83 (define @t1249 () (=> @t1248 @t74)) % 0.41/0.83 (define @t1250 () (forall @t81 @t1249)) % 0.41/0.83 (define @t1251 () (=> tptp.replAx @t1218)) % 0.41/0.83 (define @t1252 () (or @t686 @t685)) % 0.41/0.83 (define @t1253 () (or @t694 @t692 @t1252)) % 0.41/0.83 (define @t1254 () (forall @t696 @t1253)) % 0.41/0.83 (define @t1255 () (@list @t684)) % 0.41/0.83 (define @t1256 () (forall @t1255 @t1253)) % 0.41/0.83 (define @t1257 () (forall @t1255 @t1252)) % 0.41/0.83 (define @t1258 () (or @t694 @t692 @t1257)) % 0.41/0.83 (define @t1259 () (forall @t9 (or @t690 @t501))) % 0.41/0.83 (define @t1260 () (not @t61)) % 0.41/0.83 (define @t1261 () (or @t1260 @t692 @t1259)) % 0.41/0.83 (define @t1262 () (and @t61 @t691)) % 0.41/0.83 (define @t1263 () (not @t54)) % 0.41/0.83 (define @t1264 () (or @t1263 @t7)) % 0.41/0.83 (define @t1265 () (_ tptp.in @t687)) % 0.41/0.83 (define @t1266 () (or @t1263 @t196 @t58)) % 0.41/0.83 (define @t1267 () (=> tptp.omegaIndAx @t1251)) % 0.41/0.83 (define @t1268 () (or @t1263 @t53)) % 0.41/0.83 (define @t1269 () (=> tptp.omegaSAx @t1267)) % 0.41/0.83 (define @t1270 () (=> tptp.omega0Ax @t1269)) % 0.41/0.83 (define @t1271 () (= @t44 @t525)) % 0.41/0.83 (define @t1272 () (forall @t41 (not @t40))) % 0.41/0.83 (define @t1273 () (not @t1272)) % 0.41/0.83 (define @t1274 () (=> tptp.setunionAx @t1270)) % 0.41/0.83 (define @t1275 () (= @t35 @t539)) % 0.41/0.83 (define @t1276 () (=> tptp.powersetAx @t1274)) % 0.41/0.83 (define @t1277 () (= @t26 @t1013)) % 0.41/0.83 (define @t1278 () (=> tptp.setadjoinAx @t1276)) % 0.41/0.83 (define @t1279 () (=> tptp.emptysetAx @t1278)) % 0.41/0.83 (define @t1280 () (=> tptp.setextAx @t1279)) % 0.41/0.83 (define @t1281 () (or @t437 (= @t435 @t19))) % 0.41/0.83 (define @t1282 () (forall @t70 @t1281)) % 0.41/0.83 (define @t1283 () (not @t1282)) % 0.41/0.83 (define @t1284 () (or @t438 @t1283 @t434 @t433 @t432)) % 0.41/0.83 (define @t1285 () (or @t434 @t433 @t432)) % 0.41/0.83 (define @t1286 () (or @t438 @t1283)) % 0.41/0.83 (define @t1287 () (or @t1286 @t1285)) % 0.41/0.83 (define @t1288 () (forall @t439 @t1287)) % 0.41/0.83 (define @t1289 () (forall (@list @t435 @t431 @t430) @t1287)) % 0.41/0.83 (define @t1290 () (forall (@list @t431 @t430) @t1285)) % 0.41/0.83 (define @t1291 () (forall (@list @t435) @t1286)) % 0.41/0.83 (define @t1292 () (or @t1291 @t1290)) % 0.41/0.83 (define @t1293 () (=> @t863 @t341)) % 0.41/0.83 (define @t1294 () (forall @t150 @t1293)) % 0.41/0.83 (define @t1295 () (=> tptp.in__Cong @t1294)) % 0.41/0.83 (define @t1296 () (=> tptp.inCongP @t1295)) % 0.41/0.83 (define @t1297 () (=> tptp.exuI2 @t1296)) % 0.41/0.83 (define @t1298 () (=> tptp.exuI3 @t1297)) % 0.41/0.83 (define @t1299 () (=> tptp.exuI1 @t1298)) % 0.41/0.83 (define @t1300 () (=> tptp.notdallE @t1299)) % 0.41/0.83 (define @t1301 () (=> tptp.notdexE @t1300)) % 0.41/0.83 (define @t1302 () (=> tptp.prop2set2propI @t1301)) % 0.41/0.83 (define @t1303 () (=> tptp.prop2setI @t1302)) % 0.41/0.83 (define @t1304 () (=> tptp.quantDeMorgan4 @t1303)) % 0.41/0.83 (define @t1305 () (=> tptp.quantDeMorgan3 @t1304)) % 0.41/0.83 (define @t1306 () (=> tptp.quantDeMorgan2 @t1305)) % 0.41/0.83 (define @t1307 () (=> tptp.quantDeMorgan1 @t1306)) % 0.41/0.83 (define @t1308 () (=> tptp.vacuousDall @t1307)) % 0.41/0.83 (define @t1309 () (=> tptp.emptyE1 @t1308)) % 0.41/0.83 (define @t1310 () (=> tptp.upairsetIR @t1309)) % 0.41/0.83 (define @t1311 () (=> tptp.upairsetIL @t1310)) % 0.41/0.83 (define @t1312 () (=> tptp.upairsetE @t1311)) % 0.41/0.83 (define @t1313 () (=> tptp.singletonsswitch @t1312)) % 0.41/0.83 (define @t1314 () (=> tptp.eqinunit @t1313)) % 0.41/0.83 (define @t1315 () (=> tptp.notinsingleton @t1314)) % 0.41/0.83 (define @t1316 () (=> tptp.uniqinunit @t1315)) % 0.41/0.83 (define @t1317 () (=> tptp.nonemptyImpWitness @t1316)) % 0.41/0.83 (define @t1318 () (=> tptp.exuE2 @t1317)) % 0.41/0.83 (define @t1319 () (=> tptp.subPowSU @t1318)) % 0.41/0.83 (define @t1320 () (=> tptp.setunionE @t1319)) % 0.41/0.83 (define @t1321 () (=> tptp.setunionI @t1320)) % 0.41/0.83 (define @t1322 () (=> tptp.powersetE @t1321)) % 0.41/0.83 (define @t1323 () (=> tptp.emptyInPowerset @t1322)) % 0.41/0.83 (define @t1324 () (=> tptp.emptyinPowerset @t1323)) % 0.41/0.83 (define @t1325 () (=> tptp.powersetI @t1324)) % 0.41/0.83 (define @t1326 () (=> tptp.setoftrueEq @t1325)) % 0.41/0.83 (define @t1327 () (=> tptp.setadjoinOr @t1326)) % 0.41/0.83 (define @t1328 () (=> tptp.setadjoinE @t1327)) % 0.41/0.83 (define @t1329 () (=> tptp.setadjoinIR @t1328)) % 0.41/0.83 (define @t1330 () (=> tptp.emptyinunitempty @t1329)) % 0.41/0.83 (define @t1331 () (=> tptp.setadjoinIL @t1330)) % 0.41/0.83 (define @t1332 () (=> tptp.nonemptyI1 @t1331)) % 0.41/0.83 (define @t1333 () (=> tptp.nonemptyI @t1332)) % 0.41/0.83 (define @t1334 () (=> tptp.nonemptyE1 @t1333)) % 0.41/0.83 (define @t1335 () (=> tptp.setbeta @t1334)) % 0.41/0.83 (define @t1336 () (=> tptp.noeltsimpempty @t1335)) % 0.41/0.83 (define @t1337 () (=> tptp.emptyI @t1336)) % 0.41/0.83 (define @t1338 () (=> tptp.setext @t1337)) % 0.41/0.83 (define @t1339 () (=> tptp.exuE3e @t1338)) % 0.41/0.83 (define @t1340 () (=> tptp.notinemptyset @t1339)) % 0.41/0.83 (define @t1341 () (=> tptp.emptysetimpfalse @t1340)) % 0.41/0.83 (define @t1342 () (=> tptp.emptysetE @t1341)) % 0.41/0.83 (define @t1343 () (=> tptp.prop2setE @t1342)) % 0.41/0.83 (define @t1344 () (=> tptp.exuE1 @t1343)) % 0.41/0.83 (define @t1345 () (=> tptp.dsetconstrER @t1344)) % 0.41/0.83 (define @t1346 () (=> tptp.dsetconstrEL @t1345)) % 0.41/0.83 (define @t1347 () (=> tptp.dsetconstrI @t1346)) % 0.41/0.83 (define @t1348 () (=> tptp.descrp @t1347)) % 0.41/0.83 (define @t1349 () (=> tptp.wellorderingAx @t1348)) % 0.41/0.83 (define @t1350 () (=> tptp.foundationAx @t1349)) % 0.41/0.83 (define @t1351 () (=> tptp.replAx @t1350)) % 0.41/0.83 (define @t1352 () (=> tptp.omegaIndAx @t1351)) % 0.41/0.83 (define @t1353 () (=> tptp.omegaSAx @t1352)) % 0.41/0.83 (define @t1354 () (=> tptp.omega0Ax @t1353)) % 0.41/0.83 (define @t1355 () (=> tptp.setunionAx @t1354)) % 0.41/0.83 (define @t1356 () (=> tptp.powersetAx @t1355)) % 0.41/0.83 (define @t1357 () (=> tptp.setadjoinAx @t1356)) % 0.41/0.83 (define @t1358 () (=> tptp.emptysetAx @t1357)) % 0.41/0.83 (define @t1359 () (=> tptp.setextAx @t1358)) % 0.41/0.83 (define @t1360 () (@quantifiers_skolemize @t440 3)) % 0.41/0.83 (define @t1361 () (@quantifiers_skolemize @t440 2)) % 0.41/0.83 (define @t1362 () (= @t1361 @t1360)) % 0.41/0.83 (define @t1363 () (@quantifiers_skolemize @t440 0)) % 0.41/0.83 (define @t1364 () (_ @t1363 @t1360)) % 0.41/0.83 (define @t1365 () (not @t1364)) % 0.41/0.83 (define @t1366 () (_ @t1363 @t1361)) % 0.41/0.83 (define @t1367 () (not @t1366)) % 0.41/0.83 (define @t1368 () (@quantifiers_skolemize @t440 1)) % 0.41/0.83 (define @t1369 () (forall @t70 (or (not (_ @t1363 @t19)) (= @t19 @t1368)))) % 0.41/0.83 (define @t1370 () (not @t1369)) % 0.41/0.83 (define @t1371 () (or (not (_ @t1363 @t1368)) @t1370 @t1367 @t1365 @t1362)) % 0.41/0.83 (define @t1372 () (not @t1362)) % 0.41/0.83 (define @t1373 () (@list true)) % 0.41/0.83 (define @t1374 () (@list @t1371)) % 0.41/0.83 (define @t1375 () (or @t1367 (= @t1361 @t1368))) % 0.41/0.83 (define @t1376 () (= @t1368 @t1361)) % 0.41/0.83 (define @t1377 () (or @t1367 @t1376)) % 0.41/0.83 (define @t1378 () (@list false)) % 0.41/0.83 (define @t1379 () (@list @t1369)) % 0.41/0.83 (define @t1380 () (@list false false)) % 0.41/0.83 (define @t1381 () (or @t1365 (= @t1360 @t1368))) % 0.41/0.83 (define @t1382 () (= @t1368 @t1360)) % 0.41/0.83 (define @t1383 () (or @t1365 @t1382)) % 0.41/0.83 (define @t1384 () (not @t1382)) % 0.41/0.83 (define @t1385 () (not @t1376)) % 0.41/0.83 (define @t1386 () (and @t1372 @t1376)) % 0.41/0.83 (assume @p1 @t14) % 0.41/0.83 (assume @p2 @t18) % 0.41/0.83 (assume @p3 @t30) % 0.41/0.83 (assume @p4 @t38) % 0.41/0.83 (assume @p5 @t48) % 0.41/0.83 (assume @p6 (= tptp.omega0Ax @t50)) % 0.41/0.83 (assume @p7 @t56) % 0.41/0.83 (assume @p8 @t66) % 0.41/0.83 (assume @p9 @t83) % 0.41/0.83 (assume @p10 @t92) % 0.41/0.83 (assume @p11 @t142) % 0.41/0.83 (assume @p12 @t152) % 0.41/0.83 (assume @p13 @t161) % 0.41/0.83 (assume @p14 @t163) % 0.41/0.83 (assume @p15 @t165) % 0.41/0.83 (assume @p16 @t172) % 0.41/0.83 (assume @p17 @t178) % 0.41/0.83 (assume @p18 @t183) % 0.41/0.83 (assume @p19 @t185) % 0.41/0.83 (assume @p20 (= tptp.notinemptyset @t17)) % 0.41/0.83 (assume @p21 @t189) % 0.41/0.83 (assume @p22 @t194) % 0.41/0.83 (assume @p23 @t200) % 0.41/0.83 (assume @p24 (= tptp.noeltsimpempty @t199)) % 0.41/0.83 (assume @p25 @t203) % 0.41/0.83 (assume @p26 @t207) % 0.41/0.83 (assume @p27 @t211) % 0.41/0.83 (assume @p28 @t214) % 0.41/0.83 (assume @p29 @t218) % 0.41/0.83 (assume @p30 (= tptp.emptyinunitempty @t220)) % 0.41/0.83 (assume @p31 @t222) % 0.41/0.83 (assume @p32 @t230) % 0.41/0.83 (assume @p33 @t233) % 0.41/0.83 (assume @p34 @t237) % 0.41/0.83 (assume @p35 @t240) % 0.41/0.83 (assume @p36 @t243) % 0.41/0.83 (assume @p37 (= tptp.emptyInPowerset @t242)) % 0.41/0.83 (assume @p38 @t246) % 0.41/0.83 (assume @p39 @t250) % 0.41/0.83 (assume @p40 @t257) % 0.41/0.83 (assume @p41 @t261) % 0.41/0.83 (assume @p42 @t267) % 0.41/0.83 (assume @p43 @t272) % 0.41/0.83 (assume @p44 @t276) % 0.41/0.83 (assume @p45 @t282) % 0.41/0.83 (assume @p46 @t284) % 0.41/0.83 (assume @p47 @t286) % 0.41/0.83 (assume @p48 @t295) % 0.41/0.83 (assume @p49 @t298) % 0.41/0.83 (assume @p50 @t301) % 0.41/0.83 (assume @p51 @t309) % 0.41/0.83 (assume @p52 @t312) % 0.41/0.83 (assume @p53 @t320) % 0.41/0.83 (assume @p54 @t325) % 0.41/0.83 (assume @p55 @t328) % 0.41/0.83 (assume @p56 @t331) % 0.41/0.83 (assume @p57 @t334) % 0.41/0.83 (assume @p58 @t337) % 0.41/0.83 (assume @p59 (= tptp.notdexE @t327)) % 0.41/0.83 (assume @p60 (= tptp.notdallE @t319)) % 0.41/0.83 (assume @p61 @t340) % 0.41/0.83 (assume @p62 @t345) % 0.41/0.83 (assume @p63 @t348) % 0.41/0.83 (assume @p64 @t354) % 0.41/0.83 (assume @p65 @t359) % 0.41/0.83 (assume @p66 @t427) % 0.41/0.83 (assume @p67 true) % 0.41/0.83 (step @p68 (= tptp.exu @t428) :rule refl :args (@t428)) % 0.41/0.83 (step @p69 (= tptp.nonempty @t429) :rule refl :args (@t429)) % 0.41/0.83 (step @p70 :rule refl :args (@t456)) % 0.41/0.83 (step @p71 :rule skolem_intro :args ((@purify true))) % 0.41/0.83 (step @p72 :rule symm :premises (@p71)) % 0.41/0.83 (step @p73 :rule cong :premises (@p72) :args (@t457)) % 0.41/0.83 (step @p74 :rule cong :premises (@p73) :args (@t458)) % 0.41/0.83 (step @p75 :rule cong :premises (@p74 @p70) :args (@t459)) % 0.41/0.83 (step @p76 :rule refl :args (tptp.emptyset)) % 0.41/0.83 (step @p77 :rule cong :premises (@p76 @p73) :args (@t460)) % 0.41/0.83 (step @p78 :rule cong :premises (@p77 @p75) :args (@t461)) % 0.41/0.83 (step @p79 :rule refl :args (@t464)) % 0.41/0.83 (step @p80 :rule cong :premises (@p79 @p78) :args (@t465)) % 0.41/0.83 (step @p81 :rule refl :args (@t473)) % 0.41/0.83 (step @p82 :rule cong :premises (@p81 @p80) :args (@t474)) % 0.41/0.83 (step @p83 :rule refl :args (@t478)) % 0.41/0.83 (step @p84 :rule cong :premises (@p83 @p82) :args (@t479)) % 0.41/0.83 (step @p85 :rule refl :args (@t481)) % 0.41/0.83 (step @p86 :rule cong :premises (@p85 @p84) :args (@t482)) % 0.41/0.83 (step @p87 :rule refl :args (@t486)) % 0.41/0.83 (step @p88 :rule cong :premises (@p87 @p86) :args (@t487)) % 0.41/0.83 (step @p89 :rule refl :args (@t492)) % 0.41/0.83 (step @p90 :rule cong :premises (@p89 @p88) :args (@t493)) % 0.41/0.83 (step @p91 :rule refl :args (@t495)) % 0.41/0.83 (step @p92 :rule cong :premises (@p91 @p90) :args (@t496)) % 0.41/0.83 (step @p93 :rule refl :args (@t497)) % 0.41/0.83 (step @p94 :rule cong :premises (@p93 @p92) :args (@t498)) % 0.41/0.83 (step @p95 :rule refl :args (@t499)) % 0.41/0.83 (step @p96 :rule cong :premises (@p95 @p94) :args (@t500)) % 0.41/0.83 (step @p97 :rule refl :args (@t505)) % 0.41/0.83 (step @p98 :rule cong :premises (@p97 @p96) :args (@t506)) % 0.41/0.83 (step @p99 :rule refl :args (@t513)) % 0.41/0.83 (step @p100 :rule cong :premises (@p99 @p98) :args (@t514)) % 0.41/0.83 (step @p101 :rule refl :args (@t518)) % 0.41/0.83 (step @p102 :rule cong :premises (@p101 @p100) :args (@t519)) % 0.41/0.83 (step @p103 :rule refl :args (@t527)) % 0.41/0.83 (step @p104 :rule cong :premises (@p103 @p102) :args (@t528)) % 0.41/0.83 (step @p105 :rule refl :args (@t529)) % 0.41/0.83 (step @p106 :rule cong :premises (@p105 @p104) :args (@t530)) % 0.41/0.83 (step @p107 :rule refl :args (@t533)) % 0.41/0.83 (step @p108 :rule cong :premises (@p107 @p106) :args (@t534)) % 0.41/0.83 (step @p109 :rule refl :args (@t536)) % 0.41/0.83 (step @p110 :rule cong :premises (@p109 @p108) :args (@t537)) % 0.41/0.83 (step @p111 :rule cong :premises (@p109 @p110) :args (@t538)) % 0.41/0.83 (step @p112 :rule refl :args (@t541)) % 0.41/0.83 (step @p113 :rule cong :premises (@p112 @p111) :args (@t542)) % 0.41/0.83 (step @p114 :rule refl :args (@t546)) % 0.41/0.83 (step @p115 :rule cong :premises (@p114 @p113) :args (@t547)) % 0.41/0.83 (step @p116 :rule refl :args (@t551)) % 0.41/0.83 (step @p117 :rule cong :premises (@p116 @p115) :args (@t552)) % 0.41/0.83 (step @p118 :rule cong :premises (@p116 @p117) :args (@t553)) % 0.41/0.83 (step @p119 :rule refl :args (@t555)) % 0.41/0.83 (step @p120 :rule cong :premises (@p119 @p118) :args (@t556)) % 0.41/0.83 (step @p121 :rule refl :args ((tptp.in tptp.emptyset @t219))) % 0.41/0.83 (step @p122 :rule refl :args (@t557)) % 0.41/0.83 (step @p123 :rule refl :args (tptp.emptyset)) % 0.41/0.83 (step @p124 :rule cong :premises (@p123 @p122) :args (@t558)) % 0.41/0.83 (step @p125 :rule trans :premises (@p124 @p121)) % 0.41/0.83 (step @p126 :rule refl :args (@t49)) % 0.41/0.83 (step @p127 :rule ho_cong :premises (@p126 @p122)) % 0.41/0.83 (step @p128 :rule cong :premises (@p127 @p125) :args ((= (_ @t49 @t557) @t558))) % 0.41/0.83 (step @p129 :rule symm :premises (@p128)) % 0.41/0.83 (step @p130 :rule refl :args (@t220)) % 0.41/0.83 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.41/0.83 (step @p132 :rule refl :args (@t219)) % 0.41/0.83 (step @p133 :rule cong :premises (@p132 @p122) :args ((= @t219 @t557))) % 0.41/0.83 (step @p134 :rule symm :premises (@p133)) % 0.41/0.83 (step @p135 :rule eq_resolve :premises (@p132 @p134)) % 0.41/0.83 (step @p136 :rule refl :args (@t49)) % 0.41/0.83 (step @p137 :rule ho_cong :premises (@p136 @p135)) % 0.41/0.83 (step @p138 :rule trans :premises (@p137 @p131)) % 0.41/0.83 (step @p139 :rule cong :premises (@p138 @p120) :args (@t559)) % 0.41/0.83 (step @p140 :rule refl :args (@t562)) % 0.41/0.83 (step @p141 :rule cong :premises (@p140 @p139) :args (@t563)) % 0.41/0.83 (step @p142 :rule refl :args (@t567)) % 0.41/0.83 (step @p143 :rule cong :premises (@p142 @p141) :args (@t568)) % 0.41/0.83 (step @p144 :rule refl :args (@t569)) % 0.41/0.83 (step @p145 :rule cong :premises (@p144 @p143) :args (@t570)) % 0.41/0.83 (step @p146 :rule cong :premises (@p97 @p145) :args (@t571)) % 0.41/0.83 (step @p147 :rule refl :args (@t573)) % 0.41/0.83 (step @p148 :rule cong :premises (@p147 @p146) :args (@t574)) % 0.41/0.83 (step @p149 :rule refl :args (@t575)) % 0.41/0.83 (step @p150 :rule cong :premises (@p149 @p148) :args (@t576)) % 0.41/0.83 (step @p151 :rule cong :premises (@p149 @p150) :args (@t577)) % 0.41/0.83 (step @p152 :rule refl :args (@t581)) % 0.41/0.83 (step @p153 :rule cong :premises (@p152 @p151) :args (@t582)) % 0.41/0.83 (step @p154 :rule refl :args (@t588)) % 0.41/0.83 (step @p155 :rule cong :premises (@p154 @p153) :args (@t589)) % 0.41/0.83 (step @p156 :rule refl :args (@t590)) % 0.41/0.83 (step @p157 :rule cong :premises (@p156 @p155) :args (@t591)) % 0.41/0.83 (step @p158 :rule cong :premises (@p156 @p157) :args (@t592)) % 0.41/0.83 (step @p159 :rule cong :premises (@p156 @p158) :args (@t593)) % 0.41/0.83 (step @p160 :rule refl :args (@t595)) % 0.41/0.83 (step @p161 :rule cong :premises (@p160 @p159) :args (@t596)) % 0.41/0.83 (step @p162 :rule refl :args (@t598)) % 0.41/0.83 (step @p163 :rule cong :premises (@p162 @p161) :args (@t599)) % 0.41/0.83 (step @p164 :rule refl :args (@t600)) % 0.41/0.83 (step @p165 :rule cong :premises (@p164 @p163) :args (@t601)) % 0.41/0.83 (step @p166 :rule refl :args (@t602)) % 0.41/0.83 (step @p167 :rule cong :premises (@p166 @p165) :args (@t603)) % 0.41/0.83 (step @p168 :rule refl :args (@t608)) % 0.41/0.83 (step @p169 :rule cong :premises (@p168 @p167) :args (@t609)) % 0.41/0.83 (step @p170 :rule refl :args (@t660)) % 0.41/0.83 (step @p171 :rule cong :premises (@p170 @p169) :args (@t661)) % 0.41/0.83 (step @p172 :rule refl :args (@t668)) % 0.41/0.83 (step @p173 :rule cong :premises (@p172 @p171) :args (@t669)) % 0.41/0.83 (step @p174 :rule refl :args (@t682)) % 0.41/0.83 (step @p175 :rule cong :premises (@p174 @p173) :args (@t683)) % 0.41/0.83 (step @p176 :rule refl :args (@t697)) % 0.41/0.83 (step @p177 :rule cong :premises (@p176 @p175) :args (@t698)) % 0.41/0.83 (step @p178 :rule refl :args (@t700)) % 0.41/0.83 (step @p179 :rule cong :premises (@p178 @p177) :args (@t701)) % 0.41/0.83 (step @p180 :rule 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(step @p2622 :rule not_implies_elim2 :premises (@p2621)) % 0.41/0.84 (step @p2623 :rule not_implies_elim2 :premises (@p2622)) % 0.41/0.84 (step @p2624 :rule not_implies_elim2 :premises (@p2623)) % 0.41/0.84 (step @p2625 :rule not_implies_elim2 :premises (@p2624)) % 0.41/0.84 (step @p2626 :rule not_implies_elim2 :premises (@p2625)) % 0.41/0.84 (step @p2627 :rule not_implies_elim2 :premises (@p2626)) % 0.41/0.84 (step @p2628 :rule not_implies_elim2 :premises (@p2627)) % 0.41/0.84 (step @p2629 :rule not_implies_elim2 :premises (@p2628)) % 0.41/0.84 (step @p2630 :rule not_implies_elim2 :premises (@p2629)) % 0.41/0.84 (step @p2631 :rule not_implies_elim2 :premises (@p2630)) % 0.41/0.84 (step @p2632 :rule not_implies_elim2 :premises (@p2631)) % 0.41/0.84 (step @p2633 :rule not_implies_elim2 :premises (@p2632)) % 0.41/0.84 (step @p2634 :rule not_implies_elim2 :premises (@p2633)) % 0.41/0.84 (step @p2635 :rule not_implies_elim2 :premises (@p2634)) % 0.41/0.84 (step @p2636 :rule not_implies_elim2 :premises (@p2635)) % 0.41/0.84 (step @p2637 :rule not_implies_elim2 :premises (@p2636)) % 0.41/0.84 (step @p2638 :rule not_implies_elim2 :premises (@p2637)) % 0.41/0.84 (step @p2639 :rule not_implies_elim2 :premises (@p2638)) % 0.41/0.84 (step @p2640 :rule not_implies_elim2 :premises (@p2639)) % 0.41/0.84 (step @p2641 :rule not_implies_elim2 :premises (@p2640)) % 0.41/0.84 (step @p2642 :rule not_implies_elim2 :premises (@p2641)) % 0.41/0.84 (step @p2643 :rule not_implies_elim2 :premises (@p2642)) % 0.41/0.84 (step @p2644 :rule not_implies_elim2 :premises (@p2643)) % 0.41/0.84 (step @p2645 :rule not_implies_elim2 :premises (@p2644)) % 0.41/0.84 (step @p2646 :rule not_implies_elim2 :premises (@p2645)) % 0.41/0.84 (step @p2647 :rule not_implies_elim2 :premises (@p2646)) % 0.41/0.84 (step @p2648 :rule not_implies_elim2 :premises (@p2647)) % 0.41/0.84 (step @p2649 :rule not_implies_elim2 :premises (@p2648)) % 0.41/0.84 (step @p2650 :rule not_implies_elim2 :premises (@p2649)) % 0.41/0.84 (step @p2651 :rule not_implies_elim2 :premises (@p2650)) % 0.41/0.84 (step @p2652 :rule not_implies_elim2 :premises (@p2651)) % 0.41/0.84 (step @p2653 :rule not_implies_elim2 :premises (@p2652)) % 0.41/0.84 (step @p2654 :rule not_implies_elim2 :premises (@p2653)) % 0.41/0.84 (step @p2655 :rule not_implies_elim2 :premises (@p2654)) % 0.41/0.84 (step @p2656 :rule not_implies_elim2 :premises (@p2655)) % 0.41/0.84 (step @p2657 :rule not_implies_elim2 :premises (@p2656)) % 0.41/0.84 (step @p2658 :rule not_implies_elim2 :premises (@p2657)) % 0.41/0.84 (step @p2659 :rule not_implies_elim2 :premises (@p2658)) % 0.41/0.84 (step @p2660 :rule not_implies_elim2 :premises (@p2659)) % 0.41/0.84 (step @p2661 :rule not_implies_elim2 :premises (@p2660)) % 0.41/0.84 (step @p2662 :rule not_implies_elim2 :premises (@p2661)) % 0.41/0.84 (step @p2663 :rule not_implies_elim2 :premises (@p2662)) % 0.41/0.84 (step @p2664 :rule not_implies_elim2 :premises (@p2663)) % 0.41/0.84 (step @p2665 :rule not_implies_elim2 :premises (@p2664)) % 0.41/0.84 (step @p2666 :rule not_implies_elim2 :premises (@p2665)) % 0.41/0.84 (step @p2667 :rule not_implies_elim2 :premises (@p2666)) % 0.41/0.84 (step @p2668 :rule not_implies_elim2 :premises (@p2667)) % 0.41/0.84 (step @p2669 :rule not_implies_elim2 :premises (@p2668)) % 0.41/0.84 (step @p2670 :rule not_implies_elim2 :premises (@p2669)) % 0.41/0.84 (step @p2671 :rule not_implies_elim2 :premises (@p2670)) % 0.41/0.84 (step @p2672 :rule not_implies_elim2 :premises (@p2671)) % 0.41/0.84 (step @p2673 :rule not_implies_elim2 :premises (@p2672)) % 0.41/0.84 (step @p2674 :rule not_implies_elim2 :premises (@p2673)) % 0.41/0.84 (step @p2675 :rule skolemize :premises (@p2674)) % 0.41/0.84 (step @p2676 :rule cnf_or_neg :args (@t1371 4)) % 0.41/0.84 (step @p2677 :rule chain_m_resolution :premises (@p2676 @p2675) :args (@t1372 @t1373 @t1374)) % 0.41/0.84 (step @p2678 :rule bool-double-not-elim :args (@t1369)) % 0.41/0.84 (step @p2679 :rule refl :args (@t1371)) % 0.41/0.84 (step @p2680 :rule nary_cong :premises (@p2679 @p2678) :args ((or @t1371 (not @t1370)))) % 0.41/0.84 (step @p2681 :rule cnf_or_neg :args (@t1371 1)) % 0.41/0.84 (step @p2682 :rule eq_resolve :premises (@p2681 @p2680)) % 0.41/0.84 (step @p2683 :rule reordering :premises (@p2682) :args ((or @t1369 @t1371))) % 0.41/0.84 (step @p2684 :rule chain_m_resolution :premises (@p2683 @p2675) :args (@t1369 @t1373 @t1374)) % 0.41/0.84 (step @p2685 :rule eq-symm :args (@t1361 @t1368)) % 0.41/0.84 (step @p2686 :rule refl :args (@t1367)) % 0.41/0.84 (step @p2687 :rule nary_cong :premises (@p2686 @p2685) :args (@t1375)) % 0.41/0.84 (step @p2688 :rule refl :args (@t1369)) % 0.41/0.84 (step @p2689 :rule cong :premises (@p2688 @p2687) :args ((=> @t1369 @t1375))) % 0.41/0.84 (assume-push @p2745 @t1369) % 0.41/0.84 (step @p2691 :rule instantiate :premises (@p2684) :args ((@list @t1361))) % 0.41/0.84 (step-pop @p2746 :rule scope :premises (@p2691)) % 0.41/0.84 (step @p2692 :rule process_scope :premises (@p2746) :args (@t1375)) % 0.41/0.84 (step @p2694 :rule eq_resolve :premises (@p2692 @p2689)) % 0.41/0.84 (step @p2695 :rule implies_elim :premises (@p2694)) % 0.41/0.84 (step @p2696 :rule chain_m_resolution :premises (@p2695 @p2684) :args (@t1377 @t1378 @t1379)) % 0.41/0.84 (step @p2697 :rule bool-double-not-elim :args (@t1366)) % 0.41/0.84 (step @p2698 :rule nary_cong :premises (@p2679 @p2697) :args ((or @t1371 (not @t1367)))) % 0.41/0.84 (step @p2699 :rule cnf_or_neg :args (@t1371 2)) % 0.41/0.84 (step @p2700 :rule eq_resolve :premises (@p2699 @p2698)) % 0.41/0.84 (step @p2701 :rule reordering :premises (@p2700) :args ((or @t1366 @t1371))) % 0.41/0.84 (step @p2702 :rule chain_m_resolution :premises (@p2701 @p2675) :args (@t1366 @t1373 @t1374)) % 0.41/0.84 (step @p2703 :rule cnf_or_pos :args (@t1377)) % 0.41/0.84 (step @p2704 :rule reordering :premises (@p2703) :args ((or @t1367 @t1376 (not @t1377)))) % 0.41/0.84 (step @p2705 :rule chain_m_resolution :premises (@p2704 @p2702 @p2696) :args (@t1376 @t1380 (@list @t1366 @t1377))) % 0.41/0.84 (step @p2706 :rule eq-symm :args (@t1360 @t1368)) % 0.41/0.84 (step @p2707 :rule refl :args (@t1365)) % 0.41/0.84 (step @p2708 :rule nary_cong :premises (@p2707 @p2706) :args (@t1381)) % 0.41/0.84 (step @p2709 :rule cong :premises (@p2688 @p2708) :args ((=> @t1369 @t1381))) % 0.41/0.84 (assume-push @p2747 @t1369) % 0.41/0.84 (step @p2711 :rule instantiate :premises (@p2684) :args ((@list @t1360))) % 0.41/0.84 (step-pop @p2748 :rule scope :premises (@p2711)) % 0.41/0.84 (step @p2712 :rule process_scope :premises (@p2748) :args (@t1381)) % 0.41/0.84 (step @p2714 :rule eq_resolve :premises (@p2712 @p2709)) % 0.41/0.84 (step @p2715 :rule implies_elim :premises (@p2714)) % 0.41/0.84 (step @p2716 :rule chain_m_resolution :premises (@p2715 @p2684) :args (@t1383 @t1378 @t1379)) % 0.41/0.84 (step @p2717 :rule bool-double-not-elim :args (@t1364)) % 0.41/0.84 (step @p2718 :rule nary_cong :premises (@p2679 @p2717) :args ((or @t1371 (not @t1365)))) % 0.41/0.84 (step @p2719 :rule cnf_or_neg :args (@t1371 3)) % 0.41/0.84 (step @p2720 :rule eq_resolve :premises (@p2719 @p2718)) % 0.41/0.84 (step @p2721 :rule reordering :premises (@p2720) :args ((or @t1364 @t1371))) % 0.41/0.84 (step @p2722 :rule chain_m_resolution :premises (@p2721 @p2675) :args (@t1364 @t1373 @t1374)) % 0.41/0.84 (step @p2723 :rule cnf_or_pos :args (@t1383)) % 0.41/0.84 (step @p2724 :rule reordering :premises (@p2723) :args ((or @t1365 @t1382 (not @t1383)))) % 0.41/0.84 (step @p2725 :rule chain_m_resolution :premises (@p2724 @p2722 @p2716) :args (@t1382 @t1380 (@list @t1364 @t1383))) % 0.41/0.84 (step @p2726 :rule refl :args (@t1384)) % 0.41/0.84 (step @p2727 :rule refl :args (@t1385)) % 0.41/0.84 (step @p2728 :rule bool-double-not-elim :args (@t1362)) % 0.41/0.84 (step @p2729 :rule nary_cong :premises (@p2728 @p2727 @p2726) :args ((or (not @t1372) @t1385 @t1384))) % 0.41/0.84 (assume-push @p2749 @t1372) % 0.41/0.84 (assume-push @p2750 @t1376) % 0.41/0.84 (step @p2732 :rule false_intro :premises (@p2677)) % 0.41/0.84 (step @p2733 :rule refl :args (@t1360)) % 0.41/0.84 (step @p2734 :rule cong :premises (@p2705 @p2733) :args (@t1382)) % 0.41/0.84 (step @p2735 :rule trans :premises (@p2734 @p2732)) % 0.41/0.84 (step @p2736 :rule false_elim :premises (@p2735)) % 0.41/0.84 (step-pop @p2751 :rule scope :premises (@p2736)) % 0.41/0.84 (step-pop @p2752 :rule scope :premises (@p2751)) % 0.41/0.84 (step @p2737 :rule process_scope :premises (@p2752) :args (@t1384)) % 0.41/0.84 (step @p2740 :rule implies_elim :premises (@p2737)) % 0.41/0.84 (step @p2741 :rule cnf_and_neg :args (@t1386)) % 0.41/0.84 (step @p2742 :rule resolution :premises (@p2741 @p2740) :args (true @t1386)) % 0.41/0.84 (step @p2743 :rule eq_resolve :premises (@p2742 @p2729)) % 0.41/0.84 (step @p2744 false :rule chain_m_resolution :premises (@p2743 @p2725 @p2705 @p2677) :args (false (@list false false true) (@list @t1382 @t1376 @t1362))) % 0.41/0.84 ) % 0.41/0.84 % SZS output end Proof % 0.41/0.84 % cvc5 exiting %------------------------------------------------------------------------------