%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU546^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:52:08 AM UTC 2026 % Result : Theorem 169.83s 170.24s % Output : Proof 169.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU546^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:41:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TH0 % 169.83/170.24 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 169.83/170.24 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 169.83/170.24 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 169.83/170.24 --- Run --ho-elim --full-saturate-quant at 18s... % 169.83/170.24 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 169.83/170.24 % SZS status Theorem % 169.83/170.24 % SZS output start Proof % 169.83/170.24 ( % 169.83/170.24 (declare-sort $$unsorted 0) % 169.83/170.24 (declare-const tptp.emptyset $$unsorted) % 169.83/170.24 (declare-const tptp.exuI3 Bool) % 169.83/170.24 (declare-const tptp.exuI1 Bool) % 169.83/170.24 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 169.83/170.24 (declare-const tptp.quantDeMorgan3 Bool) % 169.83/170.24 (declare-const tptp.quantDeMorgan2 Bool) % 169.83/170.24 (declare-const tptp.quantDeMorgan1 Bool) % 169.83/170.24 (declare-const tptp.emptyE1 Bool) % 169.83/170.24 (declare-const tptp.upairsetIR Bool) % 169.83/170.24 (declare-const tptp.emptysetE Bool) % 169.83/170.24 (declare-const tptp.setadjoinIL Bool) % 169.83/170.24 (declare-const tptp.prop2setE Bool) % 169.83/170.24 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 169.83/170.24 (declare-const tptp.dsetconstrEL Bool) % 169.83/170.24 (declare-const tptp.prop2setI Bool) % 169.83/170.24 (declare-const tptp.emptyinPowerset Bool) % 169.83/170.24 (declare-const tptp.dsetconstrI Bool) % 169.83/170.24 (declare-const tptp.vacuousDall Bool) % 169.83/170.24 (declare-const tptp.setext Bool) % 169.83/170.24 (declare-const tptp.nonemptyImpWitness Bool) % 169.83/170.24 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 169.83/170.24 (declare-const tptp.wellorderingAx Bool) % 169.83/170.24 (declare-const tptp.replAx Bool) % 169.83/170.24 (declare-const tptp.upairsetE Bool) % 169.83/170.24 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 169.83/170.24 (declare-const tptp.powersetAx Bool) % 169.83/170.24 (declare-const tptp.setextAx Bool) % 169.83/170.24 (declare-const tptp.setadjoinOr Bool) % 169.83/170.24 (declare-const tptp.uniqinunit Bool) % 169.83/170.24 (declare-const tptp.foundationAx Bool) % 169.83/170.24 (declare-const tptp.emptysetimpfalse Bool) % 169.83/170.24 (declare-const tptp.notinemptyset Bool) % 169.83/170.24 (declare-const tptp.setadjoinIR Bool) % 169.83/170.24 (declare-const tptp.exuE2 Bool) % 169.83/170.24 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 169.83/170.24 (declare-const tptp.prop2set2propI Bool) % 169.83/170.24 (declare-const tptp.omegaSAx Bool) % 169.83/170.24 (declare-const tptp.powersetE Bool) % 169.83/170.24 (declare-const tptp.notdallE Bool) % 169.83/170.24 (declare-const tptp.dsetconstrER Bool) % 169.83/170.24 (declare-const tptp.emptyInPowerset Bool) % 169.83/170.24 (declare-const tptp.setadjoinAx Bool) % 169.83/170.24 (declare-const tptp.nonemptyE1 Bool) % 169.83/170.24 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 169.83/170.24 (declare-const tptp.descrp Bool) % 169.83/170.24 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 169.83/170.24 (declare-const tptp.omega0Ax Bool) % 169.83/170.24 (declare-const tptp.setadjoinE Bool) % 169.83/170.24 (declare-const tptp.setoftrueEq Bool) % 169.83/170.24 (declare-const tptp.setunionAx Bool) % 169.83/170.24 (declare-const tptp.omega $$unsorted) % 169.83/170.24 (declare-const tptp.omegaIndAx Bool) % 169.83/170.24 (declare-const tptp.quantDeMorgan4 Bool) % 169.83/170.24 (declare-const tptp.powersetI Bool) % 169.83/170.24 (declare-const tptp.exuE3e Bool) % 169.83/170.24 (declare-const tptp.emptyI Bool) % 169.83/170.24 (declare-const tptp.noeltsimpempty Bool) % 169.83/170.24 (declare-const tptp.eqinunit Bool) % 169.83/170.24 (declare-const tptp.upairsetIL Bool) % 169.83/170.24 (declare-const tptp.nonemptyI Bool) % 169.83/170.24 (declare-const tptp.emptysetAx Bool) % 169.83/170.24 (declare-const tptp.nonemptyI1 Bool) % 169.83/170.24 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 169.83/170.24 (declare-const tptp.emptyinunitempty Bool) % 169.83/170.24 (declare-const tptp.notdexE Bool) % 169.83/170.24 (declare-const tptp.setunionI Bool) % 169.83/170.24 (declare-const tptp.exuE1 Bool) % 169.83/170.24 (declare-const tptp.setunionE Bool) % 169.83/170.24 (declare-const tptp.subPowSU Bool) % 169.83/170.24 (declare-const tptp.notinsingleton Bool) % 169.83/170.24 (declare-const tptp.setbeta Bool) % 169.83/170.24 (declare-const tptp.singletonsswitch Bool) % 169.83/170.24 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 169.83/170.24 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 169.83/170.24 (define @t1 () (@var "B" $$unsorted)) % 169.83/170.24 (define @t2 () (@var "A" $$unsorted)) % 169.83/170.24 (define @t3 () (= @t2 @t1)) % 169.83/170.24 (define @t4 () (@var "Xx" $$unsorted)) % 169.83/170.24 (define @t5 () (_ tptp.in @t4)) % 169.83/170.24 (define @t6 () (_ @t5 @t1)) % 169.83/170.24 (define @t7 () (_ @t5 @t2)) % 169.83/170.24 (define @t8 () (= @t7 @t6)) % 169.83/170.24 (define @t9 () (@list @t4)) % 169.83/170.24 (define @t10 () (forall @t9 @t8)) % 169.83/170.24 (define @t11 () (=> @t10 @t3)) % 169.83/170.24 (define @t12 () (@list @t2 @t1)) % 169.83/170.24 (define @t13 () (forall @t12 @t11)) % 169.83/170.24 (define @t14 () (= tptp.setextAx @t13)) % 169.83/170.24 (define @t15 () (_ @t5 tptp.emptyset)) % 169.83/170.24 (define @t16 () (not @t15)) % 169.83/170.24 (define @t17 () (forall @t9 @t16)) % 169.83/170.24 (define @t18 () (= tptp.emptysetAx @t17)) % 169.83/170.24 (define @t19 () (@var "Xy" $$unsorted)) % 169.83/170.24 (define @t20 () (_ tptp.in @t19)) % 169.83/170.24 (define @t21 () (_ @t20 @t2)) % 169.83/170.24 (define @t22 () (= @t19 @t4)) % 169.83/170.24 (define @t23 () (or @t22 @t21)) % 169.83/170.24 (define @t24 () (_ tptp.setadjoin @t4)) % 169.83/170.24 (define @t25 () (_ @t24 @t2)) % 169.83/170.24 (define @t26 () (_ @t20 @t25)) % 169.83/170.24 (define @t27 () (= @t26 @t23)) % 169.83/170.24 (define @t28 () (@list @t4 @t2 @t19)) % 169.83/170.24 (define @t29 () (forall @t28 @t27)) % 169.83/170.24 (define @t30 () (= tptp.setadjoinAx @t29)) % 169.83/170.24 (define @t31 () (=> @t6 @t7)) % 169.83/170.24 (define @t32 () (forall @t9 @t31)) % 169.83/170.24 (define @t33 () (_ tptp.powerset @t2)) % 169.83/170.24 (define @t34 () (_ tptp.in @t1)) % 169.83/170.24 (define @t35 () (_ @t34 @t33)) % 169.83/170.24 (define @t36 () (= @t35 @t32)) % 169.83/170.24 (define @t37 () (forall @t12 @t36)) % 169.83/170.24 (define @t38 () (= tptp.powersetAx @t37)) % 169.83/170.24 (define @t39 () (_ @t34 @t2)) % 169.83/170.24 (define @t40 () (and @t6 @t39)) % 169.83/170.24 (define @t41 () (@list @t1)) % 169.83/170.24 (define @t42 () (exists @t41 @t40)) % 169.83/170.24 (define @t43 () (_ tptp.setunion @t2)) % 169.83/170.24 (define @t44 () (_ @t5 @t43)) % 169.83/170.24 (define @t45 () (= @t44 @t42)) % 169.83/170.24 (define @t46 () (@list @t2 @t4)) % 169.83/170.24 (define @t47 () (forall @t46 @t45)) % 169.83/170.24 (define @t48 () (= tptp.setunionAx @t47)) % 169.83/170.24 (define @t49 () (_ tptp.in tptp.emptyset)) % 169.83/170.24 (define @t50 () (_ @t49 tptp.omega)) % 169.83/170.24 (define @t51 () (_ @t24 @t4)) % 169.83/170.24 (define @t52 () (_ tptp.in @t51)) % 169.83/170.24 (define @t53 () (_ @t52 tptp.omega)) % 169.83/170.24 (define @t54 () (_ @t5 tptp.omega)) % 169.83/170.24 (define @t55 () (forall @t9 (=> @t54 @t53))) % 169.83/170.24 (define @t56 () (= tptp.omegaSAx @t55)) % 169.83/170.24 (define @t57 () (forall @t9 (=> @t54 @t7))) % 169.83/170.24 (define @t58 () (_ @t52 @t2)) % 169.83/170.24 (define @t59 () (and @t54 @t7)) % 169.83/170.24 (define @t60 () (forall @t9 (=> @t59 @t58))) % 169.83/170.24 (define @t61 () (_ @t49 @t2)) % 169.83/170.24 (define @t62 () (and @t61 @t60)) % 169.83/170.24 (define @t63 () (=> @t62 @t57)) % 169.83/170.24 (define @t64 () (@list @t2)) % 169.83/170.24 (define @t65 () (forall @t64 @t63)) % 169.83/170.24 (define @t66 () (= tptp.omegaIndAx @t65)) % 169.83/170.24 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 169.83/170.24 (define @t68 () (_ (_ @t67 @t19) @t4)) % 169.83/170.24 (define @t69 () (and @t21 @t68)) % 169.83/170.24 (define @t70 () (@list @t19)) % 169.83/170.24 (define @t71 () (exists @t70 @t69)) % 169.83/170.24 (define @t72 () (= @t6 @t71)) % 169.83/170.24 (define @t73 () (forall @t9 @t72)) % 169.83/170.24 (define @t74 () (exists @t41 @t73)) % 169.83/170.24 (define @t75 () (_ @t67 @t4)) % 169.83/170.24 (define @t76 () (_ @t75 @t19)) % 169.83/170.24 (define @t77 () (lambda @t70 @t76)) % 169.83/170.24 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 169.83/170.24 (define @t79 () (forall @t9 @t78)) % 169.83/170.24 (define @t80 () (=> @t79 @t74)) % 169.83/170.24 (define @t81 () (@list @t67 @t2)) % 169.83/170.24 (define @t82 () (forall @t81 @t80)) % 169.83/170.24 (define @t83 () (= tptp.replAx @t82)) % 169.83/170.24 (define @t84 () (and @t6 @t7)) % 169.83/170.24 (define @t85 () (exists @t9 @t84)) % 169.83/170.24 (define @t86 () (not @t85)) % 169.83/170.24 (define @t87 () (and @t39 @t86)) % 169.83/170.24 (define @t88 () (exists @t41 @t87)) % 169.83/170.24 (define @t89 () (exists @t9 @t7)) % 169.83/170.24 (define @t90 () (=> @t89 @t88)) % 169.83/170.24 (define @t91 () (forall @t64 @t90)) % 169.83/170.24 (define @t92 () (= tptp.foundationAx @t91)) % 169.83/170.24 (define @t93 () (@var "E" $$unsorted)) % 169.83/170.24 (define @t94 () (_ @t5 @t93)) % 169.83/170.24 (define @t95 () (@var "D" $$unsorted)) % 169.83/170.24 (define @t96 () (_ @t20 @t95)) % 169.83/170.24 (define @t97 () (_ @t20 @t93)) % 169.83/170.24 (define @t98 () (forall @t70 (=> @t97 @t96))) % 169.83/170.24 (define @t99 () (or @t98 @t94)) % 169.83/170.24 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 169.83/170.24 (define @t101 () (=> @t100 @t99)) % 169.83/170.24 (define @t102 () (@list @t93)) % 169.83/170.24 (define @t103 () (forall @t102 @t101)) % 169.83/170.24 (define @t104 () (@var "C" $$unsorted)) % 169.83/170.24 (define @t105 () (_ @t20 @t104)) % 169.83/170.24 (define @t106 () (and @t96 @t105)) % 169.83/170.24 (define @t107 () (exists @t70 @t106)) % 169.83/170.24 (define @t108 () (not @t107)) % 169.83/170.24 (define @t109 () (_ @t5 @t104)) % 169.83/170.24 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 169.83/170.24 (define @t111 () (and @t110 @t109 @t108 @t103)) % 169.83/170.24 (define @t112 () (@list @t95 @t4)) % 169.83/170.24 (define @t113 () (exists @t112 @t111)) % 169.83/170.24 (define @t114 () (exists @t9 @t109)) % 169.83/170.24 (define @t115 () (forall @t9 (=> @t109 @t7))) % 169.83/170.24 (define @t116 () (and @t115 @t114)) % 169.83/170.24 (define @t117 () (=> @t116 @t113)) % 169.83/170.24 (define @t118 () (@list @t104)) % 169.83/170.24 (define @t119 () (forall @t118 @t117)) % 169.83/170.24 (define @t120 () (_ @t5 @t95)) % 169.83/170.24 (define @t121 () (forall @t9 (=> @t120 @t109))) % 169.83/170.24 (define @t122 () (forall @t9 (=> @t109 @t120))) % 169.83/170.24 (define @t123 () (or @t122 @t121)) % 169.83/170.24 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 169.83/170.24 (define @t125 () (and @t124 @t110)) % 169.83/170.24 (define @t126 () (=> @t125 @t123)) % 169.83/170.24 (define @t127 () (@list @t104 @t95)) % 169.83/170.24 (define @t128 () (forall @t127 @t126)) % 169.83/170.24 (define @t129 () (= @t4 @t19)) % 169.83/170.24 (define @t130 () (= @t109 @t105)) % 169.83/170.24 (define @t131 () (forall @t118 (=> @t124 @t130))) % 169.83/170.24 (define @t132 () (=> @t131 @t129)) % 169.83/170.24 (define @t133 () (and @t7 @t21)) % 169.83/170.24 (define @t134 () (=> @t133 @t132)) % 169.83/170.24 (define @t135 () (@list @t4 @t19)) % 169.83/170.24 (define @t136 () (forall @t135 @t134)) % 169.83/170.24 (define @t137 () (=> @t124 @t115)) % 169.83/170.24 (define @t138 () (forall @t118 @t137)) % 169.83/170.24 (define @t139 () (and @t138 @t136 @t128 @t119)) % 169.83/170.24 (define @t140 () (exists @t41 @t139)) % 169.83/170.24 (define @t141 () (forall @t64 @t140)) % 169.83/170.24 (define @t142 () (= tptp.wellorderingAx @t141)) % 169.83/170.24 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 169.83/170.24 (define @t144 () (_ @t143 @t4)) % 169.83/170.24 (define @t145 () (lambda @t9 @t144)) % 169.83/170.24 (define @t146 () (_ tptp.descr @t145)) % 169.83/170.24 (define @t147 () (_ @t143 @t146)) % 169.83/170.24 (define @t148 () (_ tptp.exu @t145)) % 169.83/170.24 (define @t149 () (=> @t148 @t147)) % 169.83/170.24 (define @t150 () (@list @t143)) % 169.83/170.24 (define @t151 () (forall @t150 @t149)) % 169.83/170.24 (define @t152 () (= tptp.descrp @t151)) % 169.83/170.24 (define @t153 () (_ @t143 @t19)) % 169.83/170.24 (define @t154 () (lambda @t70 @t153)) % 169.83/170.24 (define @t155 () (_ tptp.dsetconstr @t2)) % 169.83/170.24 (define @t156 () (_ @t155 @t154)) % 169.83/170.24 (define @t157 () (_ @t5 @t156)) % 169.83/170.24 (define @t158 () (=> @t144 @t157)) % 169.83/170.24 (define @t159 () (@list @t2 @t143 @t4)) % 169.83/170.24 (define @t160 () (forall @t159 (=> @t7 @t158))) % 169.83/170.24 (define @t161 () (= tptp.dsetconstrI @t160)) % 169.83/170.24 (define @t162 () (forall @t159 (=> @t157 @t7))) % 169.83/170.24 (define @t163 () (= tptp.dsetconstrEL @t162)) % 169.83/170.24 (define @t164 () (forall @t159 (=> @t157 @t144))) % 169.83/170.24 (define @t165 () (= tptp.dsetconstrER @t164)) % 169.83/170.24 (define @t166 () (=> @t153 @t129)) % 169.83/170.24 (define @t167 () (forall @t70 @t166)) % 169.83/170.24 (define @t168 () (and @t144 @t167)) % 169.83/170.24 (define @t169 () (exists @t9 @t168)) % 169.83/170.24 (define @t170 () (=> @t148 @t169)) % 169.83/170.24 (define @t171 () (forall @t150 @t170)) % 169.83/170.24 (define @t172 () (= tptp.exuE1 @t171)) % 169.83/170.24 (define @t173 () (@var "Xphi" Bool)) % 169.83/170.24 (define @t174 () (_ tptp.prop2set @t173)) % 169.83/170.24 (define @t175 () (_ @t5 @t174)) % 169.83/170.24 (define @t176 () (@list @t173 @t4)) % 169.83/170.24 (define @t177 () (forall @t176 (=> @t175 @t173))) % 169.83/170.24 (define @t178 () (= tptp.prop2setE @t177)) % 169.83/170.24 (define @t179 () (@list @t173)) % 169.83/170.24 (define @t180 () (forall @t179 @t173)) % 169.83/170.24 (define @t181 () (=> @t15 @t180)) % 169.83/170.24 (define @t182 () (forall @t9 @t181)) % 169.83/170.24 (define @t183 () (= tptp.emptysetE @t182)) % 169.83/170.24 (define @t184 () (forall @t9 (=> @t15 false))) % 169.83/170.24 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 169.83/170.24 (define @t186 () (exists @t9 @t144)) % 169.83/170.24 (define @t187 () (=> @t148 @t186)) % 169.83/170.24 (define @t188 () (forall @t150 @t187)) % 169.83/170.24 (define @t189 () (= tptp.exuE3e @t188)) % 169.83/170.24 (define @t190 () (=> @t32 @t3)) % 169.83/170.24 (define @t191 () (forall @t9 (=> @t7 @t6))) % 169.83/170.24 (define @t192 () (=> @t191 @t190)) % 169.83/170.24 (define @t193 () (forall @t12 @t192)) % 169.83/170.24 (define @t194 () (= tptp.setext @t193)) % 169.83/170.24 (define @t195 () (= @t2 tptp.emptyset)) % 169.83/170.24 (define @t196 () (not @t7)) % 169.83/170.24 (define @t197 () (forall @t9 @t196)) % 169.83/170.24 (define @t198 () (=> @t197 @t195)) % 169.83/170.24 (define @t199 () (forall @t64 @t198)) % 169.83/170.24 (define @t200 () (= tptp.emptyI @t199)) % 169.83/170.24 (define @t201 () (=> @t7 (= @t157 @t144))) % 169.83/170.24 (define @t202 () (forall @t159 @t201)) % 169.83/170.24 (define @t203 () (= tptp.setbeta @t202)) % 169.83/170.24 (define @t204 () (_ tptp.nonempty @t2)) % 169.83/170.24 (define @t205 () (=> @t204 @t89)) % 169.83/170.24 (define @t206 () (forall @t64 @t205)) % 169.83/170.24 (define @t207 () (= tptp.nonemptyE1 @t206)) % 169.83/170.24 (define @t208 () (=> @t144 (_ tptp.nonempty @t156))) % 169.83/170.24 (define @t209 () (=> @t7 @t208)) % 169.83/170.24 (define @t210 () (forall @t159 @t209)) % 169.83/170.24 (define @t211 () (= tptp.nonemptyI @t210)) % 169.83/170.24 (define @t212 () (=> @t89 @t204)) % 169.83/170.24 (define @t213 () (forall @t64 @t212)) % 169.83/170.24 (define @t214 () (= tptp.nonemptyI1 @t213)) % 169.83/170.24 (define @t215 () (_ @t24 @t19)) % 169.83/170.24 (define @t216 () (_ @t5 @t215)) % 169.83/170.24 (define @t217 () (forall @t135 @t216)) % 169.83/170.24 (define @t218 () (= tptp.setadjoinIL @t217)) % 169.83/170.24 (define @t219 () (_ @t49 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset))) % 169.83/170.24 (define @t220 () (forall @t28 (=> @t21 @t26))) % 169.83/170.24 (define @t221 () (= tptp.setadjoinIR @t220)) % 169.83/170.24 (define @t222 () (=> @t21 @t173)) % 169.83/170.24 (define @t223 () (=> @t222 @t173)) % 169.83/170.24 (define @t224 () (=> @t22 @t173)) % 169.83/170.24 (define @t225 () (=> @t224 @t223)) % 169.83/170.24 (define @t226 () (forall @t179 @t225)) % 169.83/170.24 (define @t227 () (=> @t26 @t226)) % 169.83/170.24 (define @t228 () (forall @t28 @t227)) % 169.83/170.24 (define @t229 () (= tptp.setadjoinE @t228)) % 169.83/170.24 (define @t230 () (=> @t26 @t23)) % 169.83/170.24 (define @t231 () (forall @t28 @t230)) % 169.83/170.24 (define @t232 () (= tptp.setadjoinOr @t231)) % 169.83/170.24 (define @t233 () (lambda @t9 true)) % 169.83/170.24 (define @t234 () (= (_ @t155 @t233) @t2)) % 169.83/170.24 (define @t235 () (forall @t64 @t234)) % 169.83/170.24 (define @t236 () (= tptp.setoftrueEq @t235)) % 169.83/170.24 (define @t237 () (=> @t32 @t35)) % 169.83/170.24 (define @t238 () (forall @t12 @t237)) % 169.83/170.24 (define @t239 () (= tptp.powersetI @t238)) % 169.83/170.24 (define @t240 () (_ @t49 @t33)) % 169.83/170.24 (define @t241 () (forall @t64 @t240)) % 169.83/170.24 (define @t242 () (= tptp.emptyinPowerset @t241)) % 169.83/170.24 (define @t243 () (@list @t2 @t1 @t4)) % 169.83/170.24 (define @t244 () (forall @t243 (=> @t35 @t31))) % 169.83/170.24 (define @t245 () (= tptp.powersetE @t244)) % 169.83/170.24 (define @t246 () (=> @t39 @t44)) % 169.83/170.24 (define @t247 () (@list @t2 @t4 @t1)) % 169.83/170.24 (define @t248 () (forall @t247 (=> @t6 @t246))) % 169.83/170.24 (define @t249 () (= tptp.setunionI @t248)) % 169.83/170.24 (define @t250 () (=> @t39 @t173)) % 169.83/170.24 (define @t251 () (forall @t41 (=> @t6 @t250))) % 169.83/170.24 (define @t252 () (=> @t251 @t173)) % 169.83/170.24 (define @t253 () (forall @t179 @t252)) % 169.83/170.24 (define @t254 () (=> @t44 @t253)) % 169.83/170.24 (define @t255 () (forall @t46 @t254)) % 169.83/170.24 (define @t256 () (= tptp.setunionE @t255)) % 169.83/170.24 (define @t257 () (_ tptp.powerset @t43)) % 169.83/170.24 (define @t258 () (_ @t5 @t257)) % 169.83/170.24 (define @t259 () (forall @t46 (=> @t7 @t258))) % 169.83/170.24 (define @t260 () (= tptp.subPowSU @t259)) % 169.83/170.24 (define @t261 () (= @t153 @t22)) % 169.83/170.24 (define @t262 () (forall @t70 @t261)) % 169.83/170.24 (define @t263 () (exists @t9 @t262)) % 169.83/170.24 (define @t264 () (=> @t148 @t263)) % 169.83/170.24 (define @t265 () (forall @t150 @t264)) % 169.83/170.24 (define @t266 () (= tptp.exuE2 @t265)) % 169.83/170.24 (define @t267 () (and @t7 true)) % 169.83/170.24 (define @t268 () (exists @t9 @t267)) % 169.83/170.24 (define @t269 () (=> @t204 @t268)) % 169.83/170.24 (define @t270 () (forall @t64 @t269)) % 169.83/170.24 (define @t271 () (= tptp.nonemptyImpWitness @t270)) % 169.83/170.24 (define @t272 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 169.83/170.24 (define @t273 () (_ @t5 @t272)) % 169.83/170.24 (define @t274 () (forall @t135 (=> @t273 @t129))) % 169.83/170.24 (define @t275 () (= tptp.uniqinunit @t274)) % 169.83/170.24 (define @t276 () (_ @t24 tptp.emptyset)) % 169.83/170.24 (define @t277 () (_ @t20 @t276)) % 169.83/170.24 (define @t278 () (not @t277)) % 169.83/170.24 (define @t279 () (not @t129)) % 169.83/170.24 (define @t280 () (forall @t135 (=> @t279 @t278))) % 169.83/170.24 (define @t281 () (= tptp.notinsingleton @t280)) % 169.83/170.24 (define @t282 () (forall @t135 (=> @t129 @t273))) % 169.83/170.24 (define @t283 () (= tptp.eqinunit @t282)) % 169.83/170.24 (define @t284 () (forall @t135 (=> @t273 @t277))) % 169.83/170.24 (define @t285 () (= tptp.singletonsswitch @t284)) % 169.83/170.24 (define @t286 () (@var "Xz" $$unsorted)) % 169.83/170.24 (define @t287 () (or (= @t286 @t4) (= @t286 @t19))) % 169.83/170.24 (define @t288 () (_ @t24 @t272)) % 169.83/170.24 (define @t289 () (_ tptp.in @t286)) % 169.83/170.24 (define @t290 () (_ @t289 @t288)) % 169.83/170.24 (define @t291 () (=> @t290 @t287)) % 169.83/170.24 (define @t292 () (@list @t4 @t19 @t286)) % 169.83/170.24 (define @t293 () (forall @t292 @t291)) % 169.83/170.24 (define @t294 () (= tptp.upairsetE @t293)) % 169.83/170.24 (define @t295 () (_ @t5 @t288)) % 169.83/170.24 (define @t296 () (forall @t135 @t295)) % 169.83/170.24 (define @t297 () (= tptp.upairsetIL @t296)) % 169.83/170.24 (define @t298 () (_ @t20 @t288)) % 169.83/170.24 (define @t299 () (forall @t135 @t298)) % 169.83/170.24 (define @t300 () (= tptp.upairsetIR @t299)) % 169.83/170.24 (define @t301 () (_ @t155 @t145)) % 169.83/170.24 (define @t302 () (= @t301 tptp.emptyset)) % 169.83/170.24 (define @t303 () (and @t7 @t144)) % 169.83/170.24 (define @t304 () (exists @t9 @t303)) % 169.83/170.24 (define @t305 () (=> @t304 (=> @t302 false))) % 169.83/170.24 (define @t306 () (@list @t2 @t143)) % 169.83/170.24 (define @t307 () (forall @t306 @t305)) % 169.83/170.24 (define @t308 () (= tptp.emptyE1 @t307)) % 169.83/170.24 (define @t309 () (@list @t143 @t4)) % 169.83/170.24 (define @t310 () (forall @t309 (=> @t15 @t144))) % 169.83/170.24 (define @t311 () (= tptp.vacuousDall @t310)) % 169.83/170.24 (define @t312 () (not @t144)) % 169.83/170.24 (define @t313 () (and @t7 @t312)) % 169.83/170.24 (define @t314 () (exists @t9 @t313)) % 169.83/170.24 (define @t315 () (forall @t9 (=> @t7 @t144))) % 169.83/170.24 (define @t316 () (not @t315)) % 169.83/170.24 (define @t317 () (=> @t316 @t314)) % 169.83/170.24 (define @t318 () (forall @t306 @t317)) % 169.83/170.24 (define @t319 () (= tptp.quantDeMorgan1 @t318)) % 169.83/170.24 (define @t320 () (not @t304)) % 169.83/170.24 (define @t321 () (forall @t9 (=> @t7 @t312))) % 169.83/170.24 (define @t322 () (=> @t321 @t320)) % 169.83/170.24 (define @t323 () (forall @t306 @t322)) % 169.83/170.24 (define @t324 () (= tptp.quantDeMorgan2 @t323)) % 169.83/170.24 (define @t325 () (=> @t320 @t321)) % 169.83/170.24 (define @t326 () (forall @t306 @t325)) % 169.83/170.24 (define @t327 () (= tptp.quantDeMorgan3 @t326)) % 169.83/170.24 (define @t328 () (=> @t314 @t316)) % 169.83/170.24 (define @t329 () (forall @t306 @t328)) % 169.83/170.24 (define @t330 () (= tptp.quantDeMorgan4 @t329)) % 169.83/170.24 (define @t331 () (_ @t49 @t174)) % 169.83/170.24 (define @t332 () (forall @t179 (=> @t173 @t331))) % 169.83/170.24 (define @t333 () (= tptp.prop2setI @t332)) % 169.83/170.24 (define @t334 () (_ tptp.set2prop @t174)) % 169.83/170.24 (define @t335 () (forall @t179 (=> @t173 @t334))) % 169.83/170.24 (define @t336 () (= tptp.prop2set2propI @t335)) % 169.83/170.24 (define @t337 () (=> @t169 @t148)) % 169.83/170.24 (define @t338 () (forall @t150 @t337)) % 169.83/170.24 (define @t339 () (= tptp.exuI1 @t338)) % 169.83/170.24 (define @t340 () (forall @t135 (=> @t144 @t166))) % 169.83/170.24 (define @t341 () (=> @t340 @t148)) % 169.83/170.24 (define @t342 () (=> @t186 @t341)) % 169.83/170.24 (define @t343 () (forall @t150 @t342)) % 169.83/170.24 (define @t344 () (= tptp.exuI3 @t343)) % 169.83/170.24 (define @t345 () (=> @t263 @t148)) % 169.83/170.24 (define @t346 () (forall @t150 @t345)) % 169.83/170.24 (define @t347 () (=> tptp.exuI3 @t346)) % 169.83/170.24 (define @t348 () (=> tptp.exuI1 @t347)) % 169.83/170.24 (define @t349 () (=> tptp.notdallE @t348)) % 169.83/170.24 (define @t350 () (=> tptp.notdexE @t349)) % 169.83/170.24 (define @t351 () (=> tptp.prop2set2propI @t350)) % 169.83/170.24 (define @t352 () (=> tptp.prop2setI @t351)) % 169.83/170.24 (define @t353 () (=> tptp.quantDeMorgan4 @t352)) % 169.83/170.24 (define @t354 () (=> tptp.quantDeMorgan3 @t353)) % 169.83/170.24 (define @t355 () (=> tptp.quantDeMorgan2 @t354)) % 169.83/170.24 (define @t356 () (=> tptp.quantDeMorgan1 @t355)) % 169.83/170.24 (define @t357 () (=> tptp.vacuousDall @t356)) % 169.83/170.24 (define @t358 () (=> tptp.emptyE1 @t357)) % 169.83/170.24 (define @t359 () (=> tptp.upairsetIR @t358)) % 169.83/170.24 (define @t360 () (=> tptp.upairsetIL @t359)) % 169.83/170.24 (define @t361 () (=> tptp.upairsetE @t360)) % 169.83/170.24 (define @t362 () (=> tptp.singletonsswitch @t361)) % 169.83/170.24 (define @t363 () (=> tptp.eqinunit @t362)) % 169.83/170.24 (define @t364 () (=> tptp.notinsingleton @t363)) % 169.83/170.24 (define @t365 () (=> tptp.uniqinunit @t364)) % 169.83/170.24 (define @t366 () (=> tptp.nonemptyImpWitness @t365)) % 169.83/170.24 (define @t367 () (=> tptp.exuE2 @t366)) % 169.83/170.24 (define @t368 () (=> tptp.subPowSU @t367)) % 169.83/170.24 (define @t369 () (=> tptp.setunionE @t368)) % 169.83/170.24 (define @t370 () (=> tptp.setunionI @t369)) % 169.83/170.24 (define @t371 () (=> tptp.powersetE @t370)) % 169.83/170.24 (define @t372 () (=> tptp.emptyInPowerset @t371)) % 169.83/170.24 (define @t373 () (=> tptp.emptyinPowerset @t372)) % 169.83/170.24 (define @t374 () (=> tptp.powersetI @t373)) % 169.83/170.24 (define @t375 () (=> tptp.setoftrueEq @t374)) % 169.83/170.24 (define @t376 () (=> tptp.setadjoinOr @t375)) % 169.83/170.24 (define @t377 () (=> tptp.setadjoinE @t376)) % 169.83/170.24 (define @t378 () (=> tptp.setadjoinIR @t377)) % 169.83/170.24 (define @t379 () (=> tptp.emptyinunitempty @t378)) % 169.83/170.24 (define @t380 () (=> tptp.setadjoinIL @t379)) % 169.83/170.24 (define @t381 () (=> tptp.nonemptyI1 @t380)) % 169.83/170.24 (define @t382 () (=> tptp.nonemptyI @t381)) % 169.83/170.24 (define @t383 () (=> tptp.nonemptyE1 @t382)) % 169.83/170.24 (define @t384 () (=> tptp.setbeta @t383)) % 169.83/170.24 (define @t385 () (=> tptp.noeltsimpempty @t384)) % 169.83/170.24 (define @t386 () (=> tptp.emptyI @t385)) % 169.83/170.24 (define @t387 () (=> tptp.setext @t386)) % 169.83/170.24 (define @t388 () (=> tptp.exuE3e @t387)) % 169.83/170.24 (define @t389 () (=> tptp.notinemptyset @t388)) % 169.83/170.24 (define @t390 () (=> tptp.emptysetimpfalse @t389)) % 169.83/170.24 (define @t391 () (=> tptp.emptysetE @t390)) % 169.83/170.24 (define @t392 () (=> tptp.prop2setE @t391)) % 169.83/170.24 (define @t393 () (=> tptp.exuE1 @t392)) % 169.83/170.24 (define @t394 () (=> tptp.dsetconstrER @t393)) % 169.83/170.24 (define @t395 () (=> tptp.dsetconstrEL @t394)) % 169.83/170.24 (define @t396 () (=> tptp.dsetconstrI @t395)) % 169.83/170.24 (define @t397 () (=> tptp.descrp @t396)) % 169.83/170.24 (define @t398 () (=> tptp.wellorderingAx @t397)) % 169.83/170.24 (define @t399 () (=> tptp.foundationAx @t398)) % 169.83/170.24 (define @t400 () (=> tptp.replAx @t399)) % 169.83/170.24 (define @t401 () (=> tptp.omegaIndAx @t400)) % 169.83/170.24 (define @t402 () (=> tptp.omegaSAx @t401)) % 169.83/170.24 (define @t403 () (=> tptp.omega0Ax @t402)) % 169.83/170.24 (define @t404 () (=> tptp.setunionAx @t403)) % 169.83/170.24 (define @t405 () (=> tptp.powersetAx @t404)) % 169.83/170.24 (define @t406 () (=> tptp.setadjoinAx @t405)) % 169.83/170.24 (define @t407 () (=> tptp.emptysetAx @t406)) % 169.83/170.24 (define @t408 () (=> tptp.setextAx @t407)) % 169.83/170.24 (define @t409 () (not @t408)) % 169.83/170.24 (define @t410 () (lambda @t150 @t169)) % 169.83/170.24 (define @t411 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 169.83/170.24 (define @t412 () (@var "BOUND_VARIABLE_9848" (@ho-elim-sort (-> $$unsorted Bool)))) % 169.83/170.24 (define @t413 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 169.83/170.24 (define @t414 () (_ @t413 @t412 @t19)) % 169.83/170.24 (define @t415 () (not @t414)) % 169.83/170.24 (define @t416 () (_ @t413 @t412 @t4)) % 169.83/170.24 (define @t417 () (not @t416)) % 169.83/170.24 (define @t418 () (not (forall @t9 (or @t417 (not (forall @t70 (or @t415 @t129))))))) % 169.83/170.24 (define @t419 () (@var "BOUND_VARIABLE_9079" $$unsorted)) % 169.83/170.24 (define @t420 () (= @t19 @t419)) % 169.83/170.24 (define @t421 () (@list @t412 @t419)) % 169.83/170.24 (define @t422 () (forall @t421 (or (not (forall @t70 (= @t420 @t414))) @t418))) % 169.83/170.24 (define @t423 () (@var "BOUND_VARIABLE_9001" $$unsorted)) % 169.83/170.24 (define @t424 () (forall (@list @t412 @t423) (or (not (_ @t413 @t412 @t423)) (not (forall @t135 (or @t417 @t415 @t129))) @t418))) % 169.83/170.24 (define @t425 () (=> @t424 @t422)) % 169.83/170.24 (define @t426 () (@const 1 (@ho-elim-sort (-> Bool $$unsorted)))) % 169.83/170.24 (define @t427 () (@const 2 (-> (@ho-elim-sort (-> Bool $$unsorted)) Bool $$unsorted))) % 169.83/170.24 (define @t428 () (_ @t427 @t426 true)) % 169.83/170.24 (define @t429 () (@const 3 (@ho-elim-sort (-> $$unsorted Bool)))) % 169.83/170.24 (define @t430 () (_ @t413 @t429 @t428)) % 169.83/170.24 (define @t431 () (=> @t430 @t425)) % 169.83/170.24 (define @t432 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 169.83/170.24 (define @t433 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 169.83/170.24 (define @t434 () (_ @t433 @t432 tptp.emptyset)) % 169.83/170.24 (define @t435 () (_ @t413 @t434 @t428)) % 169.83/170.24 (define @t436 () (=> @t435 @t431)) % 169.83/170.24 (define @t437 () (_ @t433 @t432 @t4)) % 169.83/170.24 (define @t438 () (not (_ @t413 @t437 tptp.emptyset))) % 169.83/170.24 (define @t439 () (forall (@list @t412 @t4) (or @t438 @t416))) % 169.83/170.24 (define @t440 () (=> @t439 @t436)) % 169.83/170.24 (define @t441 () (@var "BOUND_VARIABLE_8910" $$unsorted)) % 169.83/170.24 (define @t442 () (_ (@const 7 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) (@const 6 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) @t2)) % 169.83/170.24 (define @t443 () (@const 8 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) % 169.83/170.24 (define @t444 () (_ @t443 @t442 @t412)) % 169.83/170.24 (define @t445 () (not (= tptp.emptyset @t444))) % 169.83/170.24 (define @t446 () (forall (@list @t2 @t412 @t441) (or @t445 (not (_ @t413 (_ @t433 @t432 @t441) @t2)) (not (_ @t413 @t412 @t441))))) % 169.83/170.24 (define @t447 () (=> @t446 @t440)) % 169.83/170.24 (define @t448 () (@const 9 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 169.83/170.24 (define @t449 () (@const 10 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 169.83/170.24 (define @t450 () (@const 11 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 169.83/170.24 (define @t451 () (_ @t450 (_ @t449 @t448 @t19) tptp.emptyset)) % 169.83/170.24 (define @t452 () (_ @t449 @t448 @t4)) % 169.83/170.24 (define @t453 () (_ @t450 @t452 @t451)) % 169.83/170.24 (define @t454 () (_ @t433 @t432 @t19)) % 169.83/170.24 (define @t455 () (forall @t135 (_ @t413 @t454 @t453))) % 169.83/170.24 (define @t456 () (=> @t455 @t447)) % 169.83/170.24 (define @t457 () (forall @t135 (_ @t413 @t437 @t453))) % 169.83/170.24 (define @t458 () (=> @t457 @t456)) % 169.83/170.24 (define @t459 () (= @t19 @t286)) % 169.83/170.24 (define @t460 () (= @t4 @t286)) % 169.83/170.24 (define @t461 () (forall @t292 (or (not (_ @t413 (_ @t433 @t432 @t286) @t453)) @t460 @t459))) % 169.83/170.24 (define @t462 () (=> @t461 @t458)) % 169.83/170.24 (define @t463 () (_ @t413 @t454 (_ @t450 @t452 tptp.emptyset))) % 169.83/170.24 (define @t464 () (not (_ @t413 @t437 @t451))) % 169.83/170.24 (define @t465 () (forall @t135 (or @t464 @t463))) % 169.83/170.24 (define @t466 () (=> @t465 @t462)) % 169.83/170.24 (define @t467 () (forall @t70 (_ @t413 @t454 @t451))) % 169.83/170.24 (define @t468 () (=> @t467 @t466)) % 169.83/170.24 (define @t469 () (forall @t135 (or @t129 (not @t463)))) % 169.83/170.24 (define @t470 () (=> @t469 @t468)) % 169.83/170.24 (define @t471 () (forall @t135 (or @t464 @t129))) % 169.83/170.24 (define @t472 () (=> @t471 @t470)) % 169.83/170.24 (define @t473 () (_ @t413 @t437 @t2)) % 169.83/170.24 (define @t474 () (not @t473)) % 169.83/170.24 (define @t475 () (not (forall @t9 @t474))) % 169.83/170.24 (define @t476 () (forall @t64 (or @t195 @t475))) % 169.83/170.24 (define @t477 () (=> @t476 @t472)) % 169.83/170.24 (define @t478 () (@var "BOUND_VARIABLE_8794" $$unsorted)) % 169.83/170.24 (define @t479 () (= @t19 @t478)) % 169.83/170.24 (define @t480 () (forall (@list @t412 @t478) (or (not (forall @t9 (not (forall @t70 (= @t129 @t414))))) (not (_ @t413 @t412 @t478)) (not (forall @t70 (or @t415 @t479)))))) % 169.83/170.24 (define @t481 () (=> @t480 @t477)) % 169.83/170.24 (define @t482 () (_ @t450 (@const 12 (@ho-elim-sort (-> $$unsorted $$unsorted))) @t2)) % 169.83/170.24 (define @t483 () (@const 13 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 169.83/170.24 (define @t484 () (forall @t46 (or @t474 (_ @t413 @t437 (_ @t450 @t483 @t482))))) % 169.83/170.24 (define @t485 () (=> @t484 @t481)) % 169.83/170.24 (define @t486 () (_ @t433 @t432 @t1)) % 169.83/170.24 (define @t487 () (not (_ @t413 @t486 @t2))) % 169.83/170.24 (define @t488 () (_ @t413 @t437 @t1)) % 169.83/170.24 (define @t489 () (not @t488)) % 169.83/170.24 (define @t490 () (not (forall @t41 (or @t489 @t487)))) % 169.83/170.24 (define @t491 () (_ @t413 @t437 @t482)) % 169.83/170.24 (define @t492 () (forall @t46 (or (not @t491) @t490))) % 169.83/170.24 (define @t493 () (=> @t492 @t485)) % 169.83/170.24 (define @t494 () (forall @t247 (or @t489 @t487 @t491))) % 169.83/170.24 (define @t495 () (=> @t494 @t493)) % 169.83/170.24 (define @t496 () (_ @t450 @t483 @t2)) % 169.83/170.24 (define @t497 () (_ @t413 @t486 @t496)) % 169.83/170.24 (define @t498 () (forall @t243 (or (not @t497) @t489 @t473))) % 169.83/170.24 (define @t499 () (=> @t498 @t495)) % 169.83/170.24 (define @t500 () (forall @t64 (_ @t413 @t434 @t496))) % 169.83/170.24 (define @t501 () (=> @t500 @t499)) % 169.83/170.24 (define @t502 () (=> @t500 @t501)) % 169.83/170.24 (define @t503 () (forall @t9 (or @t489 @t473))) % 169.83/170.24 (define @t504 () (not @t503)) % 169.83/170.24 (define @t505 () (forall @t12 (or @t504 @t497))) % 169.83/170.24 (define @t506 () (=> @t505 @t502)) % 169.83/170.24 (define @t507 () (forall @t64 (= @t2 (_ @t443 @t442 (@const 14 (@ho-elim-sort (-> $$unsorted Bool))))))) % 169.83/170.24 (define @t508 () (=> @t507 @t506)) % 169.83/170.24 (define @t509 () (_ @t413 @t454 @t2)) % 169.83/170.24 (define @t510 () (_ @t413 @t454 (_ @t450 @t452 @t2))) % 169.83/170.24 (define @t511 () (forall @t28 (or (not @t510) @t129 @t509))) % 169.83/170.24 (define @t512 () (=> @t511 @t508)) % 169.83/170.24 (define @t513 () (=> @t511 @t512)) % 169.83/170.24 (define @t514 () (not @t509)) % 169.83/170.24 (define @t515 () (forall @t28 (or @t514 @t510))) % 169.83/170.24 (define @t516 () (=> @t515 @t513)) % 169.83/170.24 (define @t517 () (_ @t413 @t434 (_ @t450 (_ @t449 @t448 tptp.emptyset) tptp.emptyset))) % 169.83/170.24 (define @t518 () (=> @t517 @t516)) % 169.83/170.24 (define @t519 () (forall @t135 (_ @t413 @t437 (_ @t450 @t452 @t19)))) % 169.83/170.24 (define @t520 () (=> @t519 @t518)) % 169.83/170.24 (define @t521 () (@var "BOUND_VARIABLE_8634" $$unsorted)) % 169.83/170.24 (define @t522 () (@list @t521)) % 169.83/170.24 (define @t523 () (forall @t522 (not (_ @t413 (_ @t433 @t432 @t521) tptp.emptyset)))) % 169.83/170.24 (define @t524 () (=> @t523 @t520)) % 169.83/170.24 (define @t525 () (@list @t2 @t412 @t4)) % 169.83/170.24 (define @t526 () (forall @t525 (or @t474 @t417 @t445))) % 169.83/170.24 (define @t527 () (=> @t526 @t524)) % 169.83/170.24 (define @t528 () (=> @t476 @t527)) % 169.83/170.24 (define @t529 () (_ @t413 @t437 @t444)) % 169.83/170.24 (define @t530 () (forall @t525 (or @t474 (= @t416 @t529)))) % 169.83/170.24 (define @t531 () (=> @t530 @t528)) % 169.83/170.24 (define @t532 () (forall @t64 (or @t475 @t195))) % 169.83/170.24 (define @t533 () (=> @t532 @t531)) % 169.83/170.24 (define @t534 () (=> @t532 @t533)) % 169.83/170.24 (define @t535 () (forall @t12 (or (not (forall @t9 (or @t474 @t488))) @t504 @t3))) % 169.83/170.24 (define @t536 () (=> @t535 @t534)) % 169.83/170.24 (define @t537 () (@var "BOUND_VARIABLE_8531" $$unsorted)) % 169.83/170.24 (define @t538 () (= @t19 @t537)) % 169.83/170.24 (define @t539 () (forall (@list @t412 @t537) (or (not (forall @t9 @t417)) (not (_ @t413 @t412 @t537)) (not (forall @t70 (or @t415 @t538)))))) % 169.83/170.24 (define @t540 () (=> @t539 @t536)) % 169.83/170.24 (define @t541 () (forall @t9 @t438)) % 169.83/170.24 (define @t542 () (=> @t541 @t540)) % 169.83/170.24 (define @t543 () (=> @t541 @t542)) % 169.83/170.24 (define @t544 () (=> @t541 @t543)) % 169.83/170.24 (define @t545 () (forall @t9 (not (_ @t413 @t437 (_ @t427 @t426 false))))) % 169.83/170.24 (define @t546 () (=> @t545 @t544)) % 169.83/170.24 (define @t547 () (not @t529)) % 169.83/170.24 (define @t548 () (forall @t525 (or @t547 @t416))) % 169.83/170.24 (define @t549 () (=> @t548 @t546)) % 169.83/170.24 (define @t550 () (forall @t525 (or @t547 @t473))) % 169.83/170.24 (define @t551 () (=> @t550 @t549)) % 169.83/170.24 (define @t552 () (forall @t525 (or @t474 @t417 @t529))) % 169.83/170.24 (define @t553 () (=> @t552 @t551)) % 169.83/170.24 (define @t554 () (@var "BOUND_VARIABLE_8430" $$unsorted)) % 169.83/170.24 (define @t555 () (= @t19 @t554)) % 169.83/170.24 (define @t556 () (forall (@list @t412 @t554) (or (_ @t413 @t412 (_ @t443 (@const 15 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) @t412)) (not (_ @t413 @t412 @t554)) (not (forall @t70 (or @t415 @t555)))))) % 169.83/170.24 (define @t557 () (=> @t556 @t553)) % 169.83/170.24 (define @t558 () (@var "BOUND_VARIABLE_8350" $$unsorted)) % 169.83/170.24 (define @t559 () (_ @t433 @t432 @t558)) % 169.83/170.24 (define @t560 () (@list @t93 @t558)) % 169.83/170.24 (define @t561 () (_ @t413 @t454 @t104)) % 169.83/170.24 (define @t562 () (_ @t413 @t437 @t104)) % 169.83/170.24 (define @t563 () (not @t562)) % 169.83/170.24 (define @t564 () (not (_ @t413 (_ @t433 @t432 @t95) @t1))) % 169.83/170.24 (define @t565 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 169.83/170.24 (define @t566 () (@list @t104 @t565)) % 169.83/170.24 (define @t567 () (not (forall @t566 (or (not (forall @t9 (or @t563 @t473))) (not (_ @t413 (_ @t433 @t432 @t565) @t104)) (not (forall @t112 (or @t564 @t563 (not (forall @t70 (or (not (_ @t413 @t454 @t95)) (not @t561)))) (not (forall @t560 (or (not (_ @t413 (_ @t433 @t432 @t93) @t1)) (_ @t413 @t437 @t93) (not (_ @t413 @t559 @t93)) (_ @t413 @t559 @t95))))))))))) % 169.83/170.24 (define @t568 () (@var "BOUND_VARIABLE_8302" $$unsorted)) % 169.83/170.24 (define @t569 () (_ @t433 @t432 @t568)) % 169.83/170.24 (define @t570 () (@var "BOUND_VARIABLE_8296" $$unsorted)) % 169.83/170.24 (define @t571 () (_ @t433 @t432 @t570)) % 169.83/170.24 (define @t572 () (not (_ @t413 (_ @t433 @t432 @t104) @t1))) % 169.83/170.24 (define @t573 () (@list @t104 @t95 @t570 @t568)) % 169.83/170.24 (define @t574 () (not (forall @t573 (or @t572 @t564 (not (_ @t413 @t571 @t104)) (_ @t413 @t571 @t95) (not (_ @t413 @t569 @t95)) (_ @t413 @t569 @t104))))) % 169.83/170.24 (define @t575 () (@var "BOUND_VARIABLE_8245" $$unsorted)) % 169.83/170.24 (define @t576 () (_ @t433 @t432 @t575)) % 169.83/170.24 (define @t577 () (@list @t104 @t575)) % 169.83/170.24 (define @t578 () (not (forall @t577 (or @t572 (not (_ @t413 @t576 @t104)) (_ @t413 @t576 @t2))))) % 169.83/170.24 (define @t579 () (forall @t64 (not (forall @t41 (or @t578 (not (forall @t135 (or @t474 @t514 (not (forall @t118 (or @t572 (= @t561 @t562)))) @t129))) @t574 @t567))))) % 169.83/170.24 (define @t580 () (=> @t579 @t557)) % 169.83/170.24 (define @t581 () (@var "BOUND_VARIABLE_8220" $$unsorted)) % 169.83/170.24 (define @t582 () (@list @t2 @t581)) % 169.83/170.24 (define @t583 () (forall @t582 (or (not (_ @t413 (_ @t433 @t432 @t581) @t2)) (not (forall @t41 (or @t487 (not (forall @t9 (or @t489 @t474))))))))) % 169.83/170.24 (define @t584 () (=> @t583 @t580)) % 169.83/170.24 (define @t585 () (@var "BOUND_VARIABLE_10230" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 169.83/170.24 (define @t586 () (@var "BOUND_VARIABLE_8110" $$unsorted)) % 169.83/170.24 (define @t587 () (= @t19 @t586)) % 169.83/170.24 (define @t588 () (_ @t433 @t585 @t4)) % 169.83/170.24 (define @t589 () (@list @t586)) % 169.83/170.24 (define @t590 () (forall (@list @t585 @t2) (or (not (forall @t9 (or @t474 (not (forall @t589 (or (not (_ @t413 @t588 @t586)) (not (forall @t70 (or (not (_ @t413 @t588 @t19)) @t587))))))))) (not (forall @t41 (not (forall @t9 (= @t488 (not (forall @t70 (or @t514 (not (_ @t413 (_ @t433 @t585 @t19) @t4))))))))))))) % 169.83/170.24 (define @t591 () (=> @t590 @t584)) % 169.83/170.24 (define @t592 () (@var "BOUND_VARIABLE_8091" $$unsorted)) % 169.83/170.24 (define @t593 () (_ @t433 @t432 @t592)) % 169.83/170.24 (define @t594 () (_ @t433 @t432 (_ @t450 @t452 @t4))) % 169.83/170.24 (define @t595 () (not (_ @t413 @t437 tptp.omega))) % 169.83/170.24 (define @t596 () (@list @t2 @t592)) % 169.83/170.24 (define @t597 () (forall @t596 (or (not (_ @t413 @t434 @t2)) (not (forall @t9 (or @t595 @t474 (_ @t413 @t594 @t2)))) (not (_ @t413 @t593 tptp.omega)) (_ @t413 @t593 @t2)))) % 169.83/170.24 (define @t598 () (=> @t597 @t591)) % 169.83/170.24 (define @t599 () (forall @t9 (or @t595 (_ @t413 @t594 tptp.omega)))) % 169.83/170.24 (define @t600 () (=> @t599 @t598)) % 169.83/170.24 (define @t601 () (_ @t413 @t434 tptp.omega)) % 169.83/170.24 (define @t602 () (=> @t601 @t600)) % 169.83/170.24 (define @t603 () (forall @t46 (= @t490 @t491))) % 169.83/170.24 (define @t604 () (=> @t603 @t602)) % 169.83/170.24 (define @t605 () (forall @t12 (= @t497 @t503))) % 169.83/170.24 (define @t606 () (=> @t605 @t604)) % 169.83/170.24 (define @t607 () (forall @t28 (= @t510 (or @t129 @t509)))) % 169.83/170.24 (define @t608 () (=> @t607 @t606)) % 169.83/170.24 (define @t609 () (=> @t541 @t608)) % 169.83/170.24 (define @t610 () (forall @t12 (or (not (forall @t9 (= @t473 @t488))) @t3))) % 169.83/170.24 (define @t611 () (=> @t610 @t609)) % 169.83/170.24 (define @t612 () (forall @t70 (= @t414 @t420))) % 169.83/170.24 (define @t613 () (not @t612)) % 169.83/170.24 (define @t614 () (or @t613 @t418)) % 169.83/170.24 (define @t615 () (forall @t421 @t614)) % 169.83/170.24 (define @t616 () (=> @t424 @t615)) % 169.83/170.24 (define @t617 () (=> @t430 @t616)) % 169.83/170.24 (define @t618 () (=> @t435 @t617)) % 169.83/170.24 (define @t619 () (=> @t439 @t618)) % 169.83/170.24 (define @t620 () (=> @t446 @t619)) % 169.83/170.24 (define @t621 () (=> @t455 @t620)) % 169.83/170.24 (define @t622 () (=> @t457 @t621)) % 169.83/170.24 (define @t623 () (=> @t461 @t622)) % 169.83/170.24 (define @t624 () (=> @t465 @t623)) % 169.83/170.24 (define @t625 () (=> @t467 @t624)) % 169.83/170.24 (define @t626 () (=> @t469 @t625)) % 169.83/170.24 (define @t627 () (=> @t471 @t626)) % 169.83/170.24 (define @t628 () (=> @t476 @t627)) % 169.83/170.24 (define @t629 () (=> @t480 @t628)) % 169.83/170.24 (define @t630 () (=> @t484 @t629)) % 169.83/170.24 (define @t631 () (=> @t492 @t630)) % 169.83/170.24 (define @t632 () (=> @t494 @t631)) % 169.83/170.24 (define @t633 () (=> @t498 @t632)) % 169.83/170.24 (define @t634 () (=> @t500 @t633)) % 169.83/170.24 (define @t635 () (=> @t500 @t634)) % 169.83/170.24 (define @t636 () (=> @t505 @t635)) % 169.83/170.24 (define @t637 () (=> @t507 @t636)) % 169.83/170.24 (define @t638 () (=> @t511 @t637)) % 169.83/170.24 (define @t639 () (=> @t511 @t638)) % 169.83/170.24 (define @t640 () (=> @t515 @t639)) % 169.83/170.24 (define @t641 () (=> @t517 @t640)) % 169.83/170.24 (define @t642 () (=> @t519 @t641)) % 169.83/170.24 (define @t643 () (=> @t523 @t642)) % 169.83/170.24 (define @t644 () (=> @t526 @t643)) % 169.83/170.24 (define @t645 () (=> @t476 @t644)) % 169.83/170.24 (define @t646 () (=> @t530 @t645)) % 169.83/170.24 (define @t647 () (=> @t532 @t646)) % 169.83/170.24 (define @t648 () (=> @t532 @t647)) % 169.83/170.24 (define @t649 () (=> @t535 @t648)) % 169.83/170.24 (define @t650 () (=> @t539 @t649)) % 169.83/170.24 (define @t651 () (=> @t541 @t650)) % 169.83/170.24 (define @t652 () (=> @t541 @t651)) % 169.83/170.24 (define @t653 () (=> @t541 @t652)) % 169.83/170.24 (define @t654 () (=> @t545 @t653)) % 169.83/170.24 (define @t655 () (=> @t548 @t654)) % 169.83/170.24 (define @t656 () (=> @t550 @t655)) % 169.83/170.24 (define @t657 () (=> @t552 @t656)) % 169.83/170.24 (define @t658 () (=> @t556 @t657)) % 169.83/170.24 (define @t659 () (or @t572 (= @t562 @t561))) % 169.83/170.24 (define @t660 () (forall @t118 @t659)) % 169.83/170.24 (define @t661 () (not @t660)) % 169.83/170.24 (define @t662 () (or @t474 @t514 @t661 @t129)) % 169.83/170.24 (define @t663 () (forall @t135 @t662)) % 169.83/170.24 (define @t664 () (not @t663)) % 169.83/170.24 (define @t665 () (or @t578 @t664 @t574 @t567)) % 169.83/170.24 (define @t666 () (forall @t41 @t665)) % 169.83/170.24 (define @t667 () (not @t666)) % 169.83/170.24 (define @t668 () (forall @t64 @t667)) % 169.83/170.24 (define @t669 () (=> @t668 @t658)) % 169.83/170.24 (define @t670 () (=> @t583 @t669)) % 169.83/170.24 (define @t671 () (=> @t590 @t670)) % 169.83/170.24 (define @t672 () (=> @t597 @t671)) % 169.83/170.24 (define @t673 () (=> @t599 @t672)) % 169.83/170.24 (define @t674 () (=> @t601 @t673)) % 169.83/170.24 (define @t675 () (=> @t603 @t674)) % 169.83/170.24 (define @t676 () (forall @t12 (= @t503 @t497))) % 169.83/170.24 (define @t677 () (=> @t676 @t675)) % 169.83/170.24 (define @t678 () (=> @t607 @t677)) % 169.83/170.24 (define @t679 () (=> @t541 @t678)) % 169.83/170.24 (define @t680 () (=> @t610 @t679)) % 169.83/170.24 (define @t681 () (not @t680)) % 169.83/170.24 (define @t682 () (_ @t143 @t19)) % 169.83/170.24 (define @t683 () (not @t682)) % 169.83/170.24 (define @t684 () (forall @t70 (or @t683 @t129))) % 169.83/170.24 (define @t685 () (not @t684)) % 169.83/170.24 (define @t686 () (_ @t143 @t4)) % 169.83/170.24 (define @t687 () (not @t686)) % 169.83/170.24 (define @t688 () (forall @t9 (or @t687 @t685))) % 169.83/170.24 (define @t689 () (not @t688)) % 169.83/170.24 (define @t690 () (@list @t143 @t419)) % 169.83/170.24 (define @t691 () (forall @t690 (or (not (forall @t70 (= @t682 @t420))) @t689))) % 169.83/170.24 (define @t692 () (forall @t135 (or @t687 @t683 @t129))) % 169.83/170.24 (define @t693 () (not @t692)) % 169.83/170.24 (define @t694 () (not (_ @t143 @t423))) % 169.83/170.24 (define @t695 () (or @t694 @t693 @t689)) % 169.83/170.24 (define @t696 () (forall (@list @t143 @t423) @t695)) % 169.83/170.24 (define @t697 () (=> @t696 @t691)) % 169.83/170.24 (define @t698 () (tptp.prop2set true)) % 169.83/170.24 (define @t699 () (tptp.set2prop @t698)) % 169.83/170.24 (define @t700 () (tptp.in tptp.emptyset @t698)) % 169.83/170.24 (define @t701 () (tptp.in @t4 tptp.emptyset)) % 169.83/170.24 (define @t702 () (not @t701)) % 169.83/170.24 (define @t703 () (forall @t309 (or @t702 @t686))) % 169.83/170.24 (define @t704 () (not (_ @t143 @t441))) % 169.83/170.24 (define @t705 () (not (tptp.in @t441 @t2))) % 169.83/170.24 (define @t706 () (tptp.dsetconstr @t2 @t143)) % 169.83/170.24 (define @t707 () (not (= tptp.emptyset @t706))) % 169.83/170.24 (define @t708 () (or @t707 @t705 @t704)) % 169.83/170.24 (define @t709 () (@list @t2 @t143 @t441)) % 169.83/170.24 (define @t710 () (forall @t709 @t708)) % 169.83/170.24 (define @t711 () (tptp.setadjoin @t19 tptp.emptyset)) % 169.83/170.24 (define @t712 () (tptp.setadjoin @t4 @t711)) % 169.83/170.24 (define @t713 () (tptp.in @t19 @t712)) % 169.83/170.24 (define @t714 () (forall @t135 @t713)) % 169.83/170.24 (define @t715 () (tptp.in @t4 @t712)) % 169.83/170.24 (define @t716 () (forall @t135 @t715)) % 169.83/170.24 (define @t717 () (tptp.in @t286 @t712)) % 169.83/170.24 (define @t718 () (forall @t292 (or (not @t717) @t460 @t459))) % 169.83/170.24 (define @t719 () (tptp.setadjoin @t4 tptp.emptyset)) % 169.83/170.24 (define @t720 () (tptp.in @t19 @t719)) % 169.83/170.24 (define @t721 () (tptp.in @t4 @t711)) % 169.83/170.24 (define @t722 () (not @t721)) % 169.83/170.24 (define @t723 () (forall @t135 (or @t722 @t720))) % 169.83/170.24 (define @t724 () (tptp.in @t19 @t711)) % 169.83/170.24 (define @t725 () (forall @t70 @t724)) % 169.83/170.24 (define @t726 () (forall @t135 (or @t129 (not @t720)))) % 169.83/170.24 (define @t727 () (forall @t135 (or @t722 @t129))) % 169.83/170.24 (define @t728 () (tptp.in @t4 @t2)) % 169.83/170.24 (define @t729 () (not @t728)) % 169.83/170.24 (define @t730 () (forall @t9 @t729)) % 169.83/170.24 (define @t731 () (not @t730)) % 169.83/170.24 (define @t732 () (forall @t64 (or @t195 @t731))) % 169.83/170.24 (define @t733 () (not (_ @t143 @t478))) % 169.83/170.24 (define @t734 () (forall @t70 (= @t129 @t682))) % 169.83/170.24 (define @t735 () (forall @t9 (not @t734))) % 169.83/170.24 (define @t736 () (not @t735)) % 169.83/170.24 (define @t737 () (@list @t143 @t478)) % 169.83/170.24 (define @t738 () (forall @t737 (or @t736 @t733 (not (forall @t70 (or @t683 @t479)))))) % 169.83/170.24 (define @t739 () (tptp.setunion @t2)) % 169.83/170.24 (define @t740 () (tptp.powerset @t739)) % 169.83/170.24 (define @t741 () (tptp.in @t4 @t740)) % 169.83/170.24 (define @t742 () (forall @t46 (or @t729 @t741))) % 169.83/170.24 (define @t743 () (tptp.in @t1 @t2)) % 169.83/170.24 (define @t744 () (not @t743)) % 169.83/170.24 (define @t745 () (tptp.in @t4 @t1)) % 169.83/170.24 (define @t746 () (not @t745)) % 169.83/170.24 (define @t747 () (forall @t41 (or @t746 @t744))) % 169.83/170.24 (define @t748 () (not @t747)) % 169.83/170.24 (define @t749 () (tptp.in @t4 @t739)) % 169.83/170.24 (define @t750 () (forall @t46 (or (not @t749) @t748))) % 169.83/170.24 (define @t751 () (forall @t247 (or @t746 @t744 @t749))) % 169.83/170.24 (define @t752 () (tptp.powerset @t2)) % 169.83/170.24 (define @t753 () (tptp.in @t1 @t752)) % 169.83/170.24 (define @t754 () (forall @t243 (or (not @t753) @t746 @t728))) % 169.83/170.24 (define @t755 () (tptp.in tptp.emptyset @t752)) % 169.83/170.24 (define @t756 () (forall @t64 @t755)) % 169.83/170.24 (define @t757 () (forall @t9 (or @t746 @t728))) % 169.83/170.24 (define @t758 () (not @t757)) % 169.83/170.24 (define @t759 () (forall @t12 (or @t758 @t753))) % 169.83/170.24 (define @t760 () (=> @t759 (=> @t756 (=> @t756 (=> @t754 (=> @t751 (=> @t750 (=> @t742 (=> @t738 (=> @t732 (=> @t727 (=> @t726 (=> @t725 (=> @t723 (=> @t718 (=> @t716 (=> @t714 (=> @t710 (=> @t703 (=> @t700 (=> @t699 @t697))))))))))))))))))))) % 169.83/170.24 (define @t761 () (tptp.in @t19 @t2)) % 169.83/170.24 (define @t762 () (tptp.setadjoin @t4 @t2)) % 169.83/170.24 (define @t763 () (tptp.in @t19 @t762)) % 169.83/170.24 (define @t764 () (forall @t28 (or (not @t763) @t129 @t761))) % 169.83/170.24 (define @t765 () (not @t761)) % 169.83/170.24 (define @t766 () (forall @t28 (or @t765 @t763))) % 169.83/170.24 (define @t767 () (tptp.setadjoin @t4 @t19)) % 169.83/170.24 (define @t768 () (tptp.in @t4 @t767)) % 169.83/170.24 (define @t769 () (forall @t135 @t768)) % 169.83/170.24 (define @t770 () (not (tptp.in @t521 tptp.emptyset))) % 169.83/170.24 (define @t771 () (forall @t522 @t770)) % 169.83/170.24 (define @t772 () (forall @t159 (or @t729 @t687 @t707))) % 169.83/170.24 (define @t773 () (tptp.in @t4 @t706)) % 169.83/170.24 (define @t774 () (forall @t159 (or @t729 (= @t686 @t773)))) % 169.83/170.24 (define @t775 () (forall @t64 (or @t731 @t195))) % 169.83/170.24 (define @t776 () (forall @t9 (or @t729 @t745))) % 169.83/170.24 (define @t777 () (not @t776)) % 169.83/170.24 (define @t778 () (or @t777 @t758 @t3)) % 169.83/170.24 (define @t779 () (forall @t12 @t778)) % 169.83/170.24 (define @t780 () (not (_ @t143 @t537))) % 169.83/170.24 (define @t781 () (forall @t9 @t687)) % 169.83/170.24 (define @t782 () (not @t781)) % 169.83/170.24 (define @t783 () (@list @t143 @t537)) % 169.83/170.24 (define @t784 () (forall @t783 (or @t782 @t780 (not (forall @t70 (or @t683 @t538)))))) % 169.83/170.24 (define @t785 () (forall @t9 @t702)) % 169.83/170.24 (define @t786 () (not (tptp.in @t4 (tptp.prop2set false)))) % 169.83/170.24 (define @t787 () (forall @t9 @t786)) % 169.83/170.24 (define @t788 () (not @t773)) % 169.83/170.24 (define @t789 () (forall @t159 (or @t788 @t686))) % 169.83/170.24 (define @t790 () (forall @t159 (or @t788 @t728))) % 169.83/170.24 (define @t791 () (forall @t159 (or @t729 @t687 @t773))) % 169.83/170.24 (define @t792 () (not (_ @t143 @t554))) % 169.83/170.24 (define @t793 () (_ @t143 (tptp.descr @t143))) % 169.83/170.24 (define @t794 () (@list @t143 @t554)) % 169.83/170.24 (define @t795 () (forall @t794 (or @t793 @t792 (not (forall @t70 (or @t683 @t555)))))) % 169.83/170.24 (define @t796 () (tptp.in @t558 @t95)) % 169.83/170.24 (define @t797 () (not (tptp.in @t558 @t93))) % 169.83/170.24 (define @t798 () (tptp.in @t4 @t93)) % 169.83/170.24 (define @t799 () (tptp.in @t93 @t1)) % 169.83/170.24 (define @t800 () (not @t799)) % 169.83/170.24 (define @t801 () (or @t800 @t798 @t797 @t796)) % 169.83/170.24 (define @t802 () (forall @t560 @t801)) % 169.83/170.24 (define @t803 () (not @t802)) % 169.83/170.24 (define @t804 () (tptp.in @t19 @t104)) % 169.83/170.24 (define @t805 () (tptp.in @t19 @t95)) % 169.83/170.24 (define @t806 () (forall @t70 (or (not @t805) (not @t804)))) % 169.83/170.24 (define @t807 () (not @t806)) % 169.83/170.24 (define @t808 () (tptp.in @t4 @t104)) % 169.83/170.24 (define @t809 () (not @t808)) % 169.83/170.24 (define @t810 () (tptp.in @t95 @t1)) % 169.83/170.24 (define @t811 () (not @t810)) % 169.83/170.24 (define @t812 () (not (forall @t112 (or @t811 @t809 @t807 @t803)))) % 169.83/170.24 (define @t813 () (not (tptp.in @t565 @t104))) % 169.83/170.24 (define @t814 () (forall @t9 (or @t809 @t728))) % 169.83/170.24 (define @t815 () (not @t814)) % 169.83/170.24 (define @t816 () (or @t815 @t813 @t812)) % 169.83/170.24 (define @t817 () (forall @t566 @t816)) % 169.83/170.24 (define @t818 () (not @t817)) % 169.83/170.24 (define @t819 () (tptp.in @t568 @t104)) % 169.83/170.24 (define @t820 () (not (tptp.in @t568 @t95))) % 169.83/170.24 (define @t821 () (tptp.in @t570 @t95)) % 169.83/170.24 (define @t822 () (not (tptp.in @t570 @t104))) % 169.83/170.24 (define @t823 () (tptp.in @t104 @t1)) % 169.83/170.24 (define @t824 () (not @t823)) % 169.83/170.24 (define @t825 () (or @t824 @t811 @t822 @t821 @t820 @t819)) % 169.83/170.24 (define @t826 () (forall @t573 @t825)) % 169.83/170.24 (define @t827 () (not @t826)) % 169.83/170.24 (define @t828 () (forall @t118 (or @t824 (= @t808 @t804)))) % 169.83/170.24 (define @t829 () (not @t828)) % 169.83/170.24 (define @t830 () (forall @t135 (or @t729 @t765 @t829 @t129))) % 169.83/170.24 (define @t831 () (not @t830)) % 169.83/170.24 (define @t832 () (tptp.in @t575 @t2)) % 169.83/170.24 (define @t833 () (not (tptp.in @t575 @t104))) % 169.83/170.24 (define @t834 () (or @t824 @t833 @t832)) % 169.83/170.24 (define @t835 () (forall @t577 @t834)) % 169.83/170.24 (define @t836 () (not @t835)) % 169.83/170.24 (define @t837 () (or @t836 @t831 @t827 @t818)) % 169.83/170.24 (define @t838 () (forall @t64 (not (forall @t41 @t837)))) % 169.83/170.24 (define @t839 () (forall @t9 (or @t746 @t729))) % 169.83/170.24 (define @t840 () (not @t839)) % 169.83/170.24 (define @t841 () (not (forall @t41 (or @t744 @t840)))) % 169.83/170.24 (define @t842 () (not (tptp.in @t581 @t2))) % 169.83/170.24 (define @t843 () (or @t842 @t841)) % 169.83/170.24 (define @t844 () (forall @t582 @t843)) % 169.83/170.24 (define @t845 () (_ @t67 @t19 @t4)) % 169.83/170.24 (define @t846 () (not (forall @t70 (or @t765 (not @t845))))) % 169.83/170.24 (define @t847 () (forall @t9 (= @t745 @t846))) % 169.83/170.24 (define @t848 () (not (forall @t41 (not @t847)))) % 169.83/170.24 (define @t849 () (_ @t67 @t4 @t19)) % 169.83/170.24 (define @t850 () (not (forall @t70 (or (not @t849) @t587)))) % 169.83/170.24 (define @t851 () (_ @t67 @t4 @t586)) % 169.83/170.24 (define @t852 () (not (forall @t589 (or (not @t851) @t850)))) % 169.83/170.24 (define @t853 () (forall @t9 (or @t729 @t852))) % 169.83/170.24 (define @t854 () (forall @t81 (or (not @t853) @t848))) % 169.83/170.24 (define @t855 () (tptp.in @t592 @t2)) % 169.83/170.24 (define @t856 () (not (tptp.in @t592 tptp.omega))) % 169.83/170.24 (define @t857 () (tptp.setadjoin @t4 @t4)) % 169.83/170.24 (define @t858 () (tptp.in @t857 @t2)) % 169.83/170.24 (define @t859 () (tptp.in @t4 tptp.omega)) % 169.83/170.24 (define @t860 () (not @t859)) % 169.83/170.24 (define @t861 () (forall @t9 (or @t860 @t729 @t858))) % 169.83/170.24 (define @t862 () (not @t861)) % 169.83/170.24 (define @t863 () (tptp.in tptp.emptyset @t2)) % 169.83/170.24 (define @t864 () (not @t863)) % 169.83/170.24 (define @t865 () (or @t864 @t862 @t856 @t855)) % 169.83/170.24 (define @t866 () (forall @t596 @t865)) % 169.83/170.24 (define @t867 () (tptp.in @t857 tptp.omega)) % 169.83/170.24 (define @t868 () (forall @t9 (or @t860 @t867))) % 169.83/170.24 (define @t869 () (forall @t46 (= @t748 @t749))) % 169.83/170.24 (define @t870 () (forall @t12 (= @t757 @t753))) % 169.83/170.24 (define @t871 () (or @t129 @t761)) % 169.83/170.24 (define @t872 () (forall @t28 (= @t763 @t871))) % 169.83/170.24 (define @t873 () (forall @t9 (= @t728 @t745))) % 169.83/170.24 (define @t874 () (forall @t12 (or (not @t873) @t3))) % 169.83/170.24 (define @t875 () (not (=> @t874 (=> @t785 (=> @t872 (=> @t870 (=> @t869 (=> @t50 (=> @t868 (=> @t866 (=> @t854 (=> @t844 (=> @t838 (=> @t795 (=> @t791 (=> @t790 (=> @t789 (=> @t787 (=> @t785 (=> @t785 (=> @t785 (=> @t784 (=> @t779 (=> @t775 (=> @t775 (=> @t774 (=> @t732 (=> @t772 (=> @t771 (=> @t769 (=> @t219 (=> @t766 (=> @t764 (=> @t764 (=> (forall @t64 (= @t2 (tptp.dsetconstr @t2 (@const 16 (-> $$unsorted Bool))))) @t760))))))))))))))))))))))))))))))))))) % 169.83/170.24 (define @t876 () (@var "BOUND_VARIABLE_9794" $$unsorted)) % 169.83/170.24 (define @t877 () (lambda (@list @t876) true)) % 169.83/170.24 (define @t878 () (tptp.dsetconstr @t2 @t877)) % 169.83/170.24 (define @t879 () (forall @t64 (= @t2 @t878))) % 169.83/170.24 (define @t880 () (=> true (=> true @t697))) % 169.83/170.24 (define @t881 () (=> true @t880)) % 169.83/170.24 (define @t882 () (=> @t699 @t881)) % 169.83/170.24 (define @t883 () (=> @t700 @t882)) % 169.83/170.24 (define @t884 () (=> true (=> true @t883))) % 169.83/170.24 (define @t885 () (=> true @t884)) % 169.83/170.24 (define @t886 () (=> true @t885)) % 169.83/170.24 (define @t887 () (=> @t703 @t886)) % 169.83/170.24 (define @t888 () (=> @t710 @t887)) % 169.83/170.24 (define @t889 () (=> @t714 @t888)) % 169.83/170.24 (define @t890 () (=> @t716 @t889)) % 169.83/170.24 (define @t891 () (=> @t718 @t890)) % 169.83/170.24 (define @t892 () (=> @t723 @t891)) % 169.83/170.24 (define @t893 () (=> @t725 @t892)) % 169.83/170.24 (define @t894 () (=> @t726 @t893)) % 169.83/170.24 (define @t895 () (=> @t727 @t894)) % 169.83/170.24 (define @t896 () (=> @t732 @t895)) % 169.83/170.24 (define @t897 () (=> @t738 @t896)) % 169.83/170.24 (define @t898 () (=> @t742 @t897)) % 169.83/170.24 (define @t899 () (=> @t750 @t898)) % 169.83/170.24 (define @t900 () (=> @t751 @t899)) % 169.83/170.24 (define @t901 () (=> @t754 @t900)) % 169.83/170.24 (define @t902 () (=> @t756 @t901)) % 169.83/170.24 (define @t903 () (=> @t756 @t902)) % 169.83/170.24 (define @t904 () (=> @t759 @t903)) % 169.83/170.24 (define @t905 () (=> @t879 @t904)) % 169.83/170.24 (define @t906 () (=> @t764 @t905)) % 169.83/170.24 (define @t907 () (=> @t764 @t906)) % 169.83/170.24 (define @t908 () (=> @t766 @t907)) % 169.83/170.24 (define @t909 () (=> @t219 @t908)) % 169.83/170.24 (define @t910 () (=> @t769 @t909)) % 169.83/170.24 (define @t911 () (=> @t771 @t910)) % 169.83/170.24 (define @t912 () (=> @t772 @t911)) % 169.83/170.24 (define @t913 () (=> @t732 @t912)) % 169.83/170.24 (define @t914 () (=> @t774 @t913)) % 169.83/170.24 (define @t915 () (=> @t775 @t914)) % 169.83/170.24 (define @t916 () (=> @t775 @t915)) % 169.83/170.24 (define @t917 () (=> @t779 @t916)) % 169.83/170.24 (define @t918 () (=> @t784 @t917)) % 169.83/170.24 (define @t919 () (=> @t785 @t918)) % 169.83/170.24 (define @t920 () (=> @t785 @t919)) % 169.83/170.24 (define @t921 () (=> @t785 @t920)) % 169.83/170.24 (define @t922 () (=> @t787 @t921)) % 169.83/170.24 (define @t923 () (=> @t789 (=> true @t922))) % 169.83/170.24 (define @t924 () (=> @t790 @t923)) % 169.83/170.24 (define @t925 () (=> @t791 @t924)) % 169.83/170.24 (define @t926 () (=> @t795 @t925)) % 169.83/170.24 (define @t927 () (=> @t838 @t926)) % 169.83/170.24 (define @t928 () (=> @t844 @t927)) % 169.83/170.24 (define @t929 () (=> @t854 @t928)) % 169.83/170.24 (define @t930 () (=> @t866 @t929)) % 169.83/170.24 (define @t931 () (=> @t868 @t930)) % 169.83/170.24 (define @t932 () (=> @t50 @t931)) % 169.83/170.24 (define @t933 () (=> @t869 @t932)) % 169.83/170.24 (define @t934 () (=> @t870 @t933)) % 169.83/170.24 (define @t935 () (=> @t872 @t934)) % 169.83/170.24 (define @t936 () (=> @t785 @t935)) % 169.83/170.24 (define @t937 () (=> @t874 @t936)) % 169.83/170.24 (define @t938 () (@list @t423)) % 169.83/170.24 (define @t939 () (forall @t938 @t695)) % 169.83/170.24 (define @t940 () (forall @t938 @t694)) % 169.83/170.24 (define @t941 () (@list @t4)) % 169.83/170.24 (define @t942 () (or @t940 @t693 @t689)) % 169.83/170.24 (define @t943 () (or @t781 @t693 @t689)) % 169.83/170.24 (define @t944 () (=> @t692 @t689)) % 169.83/170.24 (define @t945 () (or @t312 @t685)) % 169.83/170.24 (define @t946 () (not @t153)) % 169.83/170.24 (define @t947 () (or @t946 @t129)) % 169.83/170.24 (define @t948 () (_ @t145 @t19)) % 169.83/170.24 (define @t949 () (not @t948)) % 169.83/170.24 (define @t950 () (or @t949 @t129)) % 169.83/170.24 (define @t951 () (forall @t70 @t950)) % 169.83/170.24 (define @t952 () (not @t951)) % 169.83/170.24 (define @t953 () (_ @t145 @t4)) % 169.83/170.24 (define @t954 () (not @t953)) % 169.83/170.24 (define @t955 () (or @t954 @t952)) % 169.83/170.24 (define @t956 () (forall @t9 @t955)) % 169.83/170.24 (define @t957 () (not @t956)) % 169.83/170.24 (define @t958 () (lambda @t150 @t689)) % 169.83/170.24 (define @t959 () (_ @t958 @t145)) % 169.83/170.24 (define @t960 () (or @t312 @t946 @t129)) % 169.83/170.24 (define @t961 () (=> @t340 @t959)) % 169.83/170.24 (define @t962 () (forall @t9 @t312)) % 169.83/170.24 (define @t963 () (not @t962)) % 169.83/170.24 (define @t964 () (=> @t186 @t961)) % 169.83/170.24 (define @t965 () (forall @t150 @t964)) % 169.83/170.24 (define @t966 () (and @t144 @t684)) % 169.83/170.24 (define @t967 () (forall @t9 (not @t966))) % 169.83/170.24 (define @t968 () (not @t967)) % 169.83/170.24 (define @t969 () (=> tptp.exuI3 @t691)) % 169.83/170.24 (define @t970 () (not @t689)) % 169.83/170.24 (define @t971 () (=> @t169 @t959)) % 169.83/170.24 (define @t972 () (forall @t150 @t971)) % 169.83/170.24 (define @t973 () (=> tptp.exuI1 @t969)) % 169.83/170.24 (define @t974 () (forall @t9 (or @t729 @t686))) % 169.83/170.24 (define @t975 () (not @t974)) % 169.83/170.24 (define @t976 () (or @t196 @t144)) % 169.83/170.24 (define @t977 () (forall @t9 (not @t313))) % 169.83/170.24 (define @t978 () (not @t977)) % 169.83/170.24 (define @t979 () (=> tptp.notdallE @t973)) % 169.83/170.24 (define @t980 () (forall @t9 (or @t729 @t687))) % 169.83/170.24 (define @t981 () (or @t196 @t312)) % 169.83/170.24 (define @t982 () (forall @t9 (not @t303))) % 169.83/170.24 (define @t983 () (not @t982)) % 169.83/170.24 (define @t984 () (=> tptp.notdexE @t979)) % 169.83/170.24 (define @t985 () (not true)) % 169.83/170.24 (define @t986 () (or @t985 @t699)) % 169.83/170.24 (define @t987 () (tptp.prop2set @t173)) % 169.83/170.24 (define @t988 () (tptp.set2prop @t987)) % 169.83/170.24 (define @t989 () (not @t173)) % 169.83/170.24 (define @t990 () (not (= @t173 true))) % 169.83/170.24 (define @t991 () (or @t989 @t989 @t988)) % 169.83/170.24 (define @t992 () (or @t989 @t988)) % 169.83/170.24 (define @t993 () (or @t989 @t334)) % 169.83/170.24 (define @t994 () (=> tptp.prop2set2propI @t984)) % 169.83/170.24 (define @t995 () (or @t985 @t700)) % 169.83/170.24 (define @t996 () (tptp.in tptp.emptyset @t987)) % 169.83/170.24 (define @t997 () (or @t989 @t989 @t996)) % 169.83/170.24 (define @t998 () (or @t989 @t996)) % 169.83/170.24 (define @t999 () (or @t989 @t331)) % 169.83/170.24 (define @t1000 () (=> tptp.prop2setI @t994)) % 169.83/170.24 (define @t1001 () (=> tptp.quantDeMorgan4 @t1000)) % 169.83/170.24 (define @t1002 () (=> tptp.quantDeMorgan3 @t1001)) % 169.83/170.24 (define @t1003 () (=> tptp.quantDeMorgan2 @t1002)) % 169.83/170.24 (define @t1004 () (=> tptp.quantDeMorgan1 @t1003)) % 169.83/170.24 (define @t1005 () (or @t16 @t144)) % 169.83/170.24 (define @t1006 () (=> tptp.vacuousDall @t1004)) % 169.83/170.24 (define @t1007 () (or @t705 @t704)) % 169.83/170.24 (define @t1008 () (or @t1007 @t707)) % 169.83/170.24 (define @t1009 () (forall @t709 @t1008)) % 169.83/170.24 (define @t1010 () (@list @t441)) % 169.83/170.24 (define @t1011 () (forall @t1010 @t1008)) % 169.83/170.24 (define @t1012 () (forall @t1010 @t1007)) % 169.83/170.24 (define @t1013 () (or @t1012 @t707)) % 169.83/170.24 (define @t1014 () (lambda @t9 @t686)) % 169.83/170.24 (define @t1015 () (tptp.dsetconstr @t2 @t1014)) % 169.83/170.24 (define @t1016 () (= tptp.emptyset @t1015)) % 169.83/170.24 (define @t1017 () (not @t1016)) % 169.83/170.24 (define @t1018 () (or @t980 @t1017)) % 169.83/170.24 (define @t1019 () (= tptp.emptyset @t301)) % 169.83/170.24 (define @t1020 () (not @t1019)) % 169.83/170.24 (define @t1021 () (or @t980 @t1020)) % 169.83/170.24 (define @t1022 () (not @t980)) % 169.83/170.24 (define @t1023 () (=> tptp.emptyE1 @t1006)) % 169.83/170.24 (define @t1024 () (=> tptp.upairsetIR @t1023)) % 169.83/170.24 (define @t1025 () (=> tptp.upairsetIL @t1024)) % 169.83/170.24 (define @t1026 () (not @t290)) % 169.83/170.24 (define @t1027 () (or @t1026 @t460 @t459)) % 169.83/170.24 (define @t1028 () (or @t460 @t459)) % 169.83/170.24 (define @t1029 () (=> tptp.upairsetE @t1025)) % 169.83/170.24 (define @t1030 () (not @t273)) % 169.83/170.24 (define @t1031 () (or @t1030 @t277)) % 169.83/170.24 (define @t1032 () (=> tptp.singletonsswitch @t1029)) % 169.83/170.24 (define @t1033 () (not (= @t19 @t19))) % 169.83/170.24 (define @t1034 () (or @t1033 @t724)) % 169.83/170.24 (define @t1035 () (or @t279 @t279 @t721)) % 169.83/170.24 (define @t1036 () (or @t279 @t721)) % 169.83/170.24 (define @t1037 () (forall @t9 @t1036)) % 169.83/170.24 (define @t1038 () (forall @t70 @t1037)) % 169.83/170.24 (define @t1039 () (forall (@list @t19 @t4) @t1036)) % 169.83/170.24 (define @t1040 () (or @t279 @t273)) % 169.83/170.24 (define @t1041 () (=> tptp.eqinunit @t1032)) % 169.83/170.24 (define @t1042 () (or @t129 @t278)) % 169.83/170.24 (define @t1043 () (=> tptp.notinsingleton @t1041)) % 169.83/170.24 (define @t1044 () (or @t1030 @t129)) % 169.83/170.24 (define @t1045 () (=> tptp.uniqinunit @t1043)) % 169.83/170.24 (define @t1046 () (not @t195)) % 169.83/170.24 (define @t1047 () (not @t197)) % 169.83/170.24 (define @t1048 () (_ @t411 @t2)) % 169.83/170.24 (define @t1049 () (=> @t1048 @t268)) % 169.83/170.24 (define @t1050 () (forall @t64 @t1049)) % 169.83/170.24 (define @t1051 () (=> tptp.nonemptyImpWitness @t1045)) % 169.83/170.24 (define @t1052 () (or @t683 (= @t478 @t19))) % 169.83/170.24 (define @t1053 () (forall @t70 @t1052)) % 169.83/170.24 (define @t1054 () (not @t1053)) % 169.83/170.24 (define @t1055 () (or @t736 @t733 @t1054)) % 169.83/170.24 (define @t1056 () (or @t733 @t1054)) % 169.83/170.24 (define @t1057 () (or @t1056 @t736)) % 169.83/170.24 (define @t1058 () (forall @t737 @t1057)) % 169.83/170.24 (define @t1059 () (@list @t478)) % 169.83/170.24 (define @t1060 () (forall @t1059 @t1057)) % 169.83/170.24 (define @t1061 () (forall @t1059 @t1056)) % 169.83/170.24 (define @t1062 () (or @t1061 @t736)) % 169.83/170.24 (define @t1063 () (= @t153 @t129)) % 169.83/170.24 (define @t1064 () (=> @t959 @t263)) % 169.83/170.24 (define @t1065 () (forall @t150 @t1064)) % 169.83/170.24 (define @t1066 () (=> tptp.exuE2 @t1051)) % 169.83/170.24 (define @t1067 () (or @t196 @t258)) % 169.83/170.24 (define @t1068 () (=> tptp.subPowSU @t1066)) % 169.83/170.24 (define @t1069 () (not @t44)) % 169.83/170.24 (define @t1070 () (or @t1069 @t748)) % 169.83/170.24 (define @t1071 () (not false)) % 169.83/170.24 (define @t1072 () (and @t1071 @t748)) % 169.83/170.24 (define @t1073 () (or @t1072 false)) % 169.83/170.24 (define @t1074 () (and @t989 @t748)) % 169.83/170.24 (define @t1075 () (not (= @t173 false))) % 169.83/170.24 (define @t1076 () (or @t173 @t1074 @t173)) % 169.83/170.24 (define @t1077 () (or @t1074 @t173)) % 169.83/170.24 (define @t1078 () (or @t173 @t747)) % 169.83/170.24 (define @t1079 () (not @t39)) % 169.83/170.24 (define @t1080 () (not @t6)) % 169.83/170.24 (define @t1081 () (or @t1080 @t1079)) % 169.83/170.24 (define @t1082 () (forall @t41 @t1081)) % 169.83/170.24 (define @t1083 () (or @t173 @t1082)) % 169.83/170.24 (define @t1084 () (or @t173 @t1081)) % 169.83/170.24 (define @t1085 () (or @t1080 @t1079 @t173)) % 169.83/170.24 (define @t1086 () (=> tptp.setunionE @t1068)) % 169.83/170.24 (define @t1087 () (or @t1080 @t1079 @t44)) % 169.83/170.24 (define @t1088 () (=> tptp.setunionI @t1086)) % 169.83/170.24 (define @t1089 () (not @t35)) % 169.83/170.24 (define @t1090 () (or @t1089 @t1080 @t7)) % 169.83/170.24 (define @t1091 () (or @t1080 @t7)) % 169.83/170.24 (define @t1092 () (=> tptp.powersetE @t1088)) % 169.83/170.24 (define @t1093 () (=> tptp.emptyInPowerset @t1092)) % 169.83/170.24 (define @t1094 () (=> tptp.emptyinPowerset @t1093)) % 169.83/170.24 (define @t1095 () (or @t758 @t35)) % 169.83/170.24 (define @t1096 () (=> tptp.powersetI @t1094)) % 169.83/170.24 (define @t1097 () (_ @t155 @t877)) % 169.83/170.24 (define @t1098 () (= @t2 @t1097)) % 169.83/170.24 (define @t1099 () (=> tptp.setoftrueEq @t1096)) % 169.83/170.24 (define @t1100 () (not @t26)) % 169.83/170.24 (define @t1101 () (or @t1100 @t129 @t21)) % 169.83/170.24 (define @t1102 () (or @t129 @t21)) % 169.83/170.24 (define @t1103 () (=> tptp.setadjoinOr @t1099)) % 169.83/170.24 (define @t1104 () (or @t1100 @t129 @t761)) % 169.83/170.24 (define @t1105 () (and @t761 @t1071)) % 169.83/170.24 (define @t1106 () (and @t129 @t1071)) % 169.83/170.24 (define @t1107 () (or @t1106 @t1105)) % 169.83/170.24 (define @t1108 () (or @t1106 @t1105 false)) % 169.83/170.24 (define @t1109 () (and @t761 @t989)) % 169.83/170.24 (define @t1110 () (and @t129 @t989)) % 169.83/170.24 (define @t1111 () (or @t173 @t1110 @t1109 @t173)) % 169.83/170.24 (define @t1112 () (or @t1110 @t1109 @t173)) % 169.83/170.24 (define @t1113 () (and @t21 @t989)) % 169.83/170.24 (define @t1114 () (or @t1110 @t1113 @t173)) % 169.83/170.24 (define @t1115 () (=> @t129 @t173)) % 169.83/170.24 (define @t1116 () (=> tptp.setadjoinE @t1103)) % 169.83/170.24 (define @t1117 () (not @t21)) % 169.83/170.24 (define @t1118 () (or @t1117 @t26)) % 169.83/170.24 (define @t1119 () (=> tptp.setadjoinIR @t1116)) % 169.83/170.24 (define @t1120 () (=> tptp.emptyinunitempty @t1119)) % 169.83/170.24 (define @t1121 () (=> tptp.setadjoinIL @t1120)) % 169.83/170.24 (define @t1122 () (not (= tptp.emptyset tptp.emptyset))) % 169.83/170.24 (define @t1123 () (or @t770 @t1122)) % 169.83/170.24 (define @t1124 () (not (tptp.in @t521 @t2))) % 169.83/170.24 (define @t1125 () (or @t1046 @t1124 @t1046)) % 169.83/170.24 (define @t1126 () (or @t1124 @t1046)) % 169.83/170.24 (define @t1127 () (forall @t64 @t1126)) % 169.83/170.24 (define @t1128 () (forall @t522 @t1127)) % 169.83/170.24 (define @t1129 () (forall (@list @t521 @t2) @t1126)) % 169.83/170.24 (define @t1130 () (forall (@list @t2 @t521) @t1126)) % 169.83/170.24 (define @t1131 () (forall @t522 @t1126)) % 169.83/170.24 (define @t1132 () (forall @t522 @t1124)) % 169.83/170.24 (define @t1133 () (or @t1132 @t1046)) % 169.83/170.24 (define @t1134 () (not @t731)) % 169.83/170.24 (define @t1135 () (=> @t89 @t1048)) % 169.83/170.24 (define @t1136 () (forall @t64 @t1135)) % 169.83/170.24 (define @t1137 () (=> tptp.nonemptyI1 @t1121)) % 169.83/170.24 (define @t1138 () (lambda @t70 @t682)) % 169.83/170.24 (define @t1139 () (tptp.dsetconstr @t2 @t1138)) % 169.83/170.24 (define @t1140 () (= tptp.emptyset @t1139)) % 169.83/170.24 (define @t1141 () (not @t1140)) % 169.83/170.24 (define @t1142 () (or @t729 @t687 @t1141)) % 169.83/170.24 (define @t1143 () (= tptp.emptyset @t156)) % 169.83/170.24 (define @t1144 () (not @t1143)) % 169.83/170.24 (define @t1145 () (or @t196 @t312 @t1144)) % 169.83/170.24 (define @t1146 () (=> @t144 @t1144)) % 169.83/170.24 (define @t1147 () (not (= @t156 tptp.emptyset))) % 169.83/170.24 (define @t1148 () (_ @t411 @t156)) % 169.83/170.24 (define @t1149 () (=> @t144 @t1148)) % 169.83/170.24 (define @t1150 () (=> @t7 @t1149)) % 169.83/170.24 (define @t1151 () (forall @t159 @t1150)) % 169.83/170.24 (define @t1152 () (=> tptp.nonemptyI @t1137)) % 169.83/170.24 (define @t1153 () (=> @t1048 @t89)) % 169.83/170.24 (define @t1154 () (forall @t64 @t1153)) % 169.83/170.24 (define @t1155 () (=> tptp.nonemptyE1 @t1152)) % 169.83/170.24 (define @t1156 () (tptp.in @t4 @t1139)) % 169.83/170.24 (define @t1157 () (= @t686 @t1156)) % 169.83/170.24 (define @t1158 () (or @t729 @t1157)) % 169.83/170.24 (define @t1159 () (= @t144 @t157)) % 169.83/170.24 (define @t1160 () (or @t196 @t1159)) % 169.83/170.24 (define @t1161 () (=> tptp.setbeta @t1155)) % 169.83/170.24 (define @t1162 () (=> tptp.noeltsimpempty @t1161)) % 169.83/170.24 (define @t1163 () (=> tptp.emptyI @t1162)) % 169.83/170.24 (define @t1164 () (=> @t757 @t3)) % 169.83/170.24 (define @t1165 () (or @t196 @t6)) % 169.83/170.24 (define @t1166 () (=> tptp.setext @t1163)) % 169.83/170.24 (define @t1167 () (or @t683 (= @t537 @t19))) % 169.83/170.24 (define @t1168 () (forall @t70 @t1167)) % 169.83/170.24 (define @t1169 () (not @t1168)) % 169.83/170.24 (define @t1170 () (or @t782 @t780 @t1169)) % 169.83/170.24 (define @t1171 () (or @t780 @t1169)) % 169.83/170.24 (define @t1172 () (or @t1171 @t782)) % 169.83/170.24 (define @t1173 () (forall @t783 @t1172)) % 169.83/170.24 (define @t1174 () (@list @t537)) % 169.83/170.24 (define @t1175 () (forall @t1174 @t1172)) % 169.83/170.24 (define @t1176 () (forall @t1174 @t1171)) % 169.83/170.24 (define @t1177 () (or @t1176 @t782)) % 169.83/170.24 (define @t1178 () (=> @t959 @t186)) % 169.83/170.24 (define @t1179 () (forall @t150 @t1178)) % 169.83/170.24 (define @t1180 () (=> tptp.exuE3e @t1166)) % 169.83/170.24 (define @t1181 () (=> tptp.notinemptyset @t1180)) % 169.83/170.24 (define @t1182 () (=> tptp.emptysetimpfalse @t1181)) % 169.83/170.24 (define @t1183 () (or @t173 @t173)) % 169.83/170.24 (define @t1184 () (=> tptp.emptysetE @t1182)) % 169.83/170.24 (define @t1185 () (or @t786 false)) % 169.83/170.24 (define @t1186 () (tptp.in @t4 @t987)) % 169.83/170.24 (define @t1187 () (not @t1186)) % 169.83/170.24 (define @t1188 () (or @t173 @t1187 @t173)) % 169.83/170.24 (define @t1189 () (or @t1187 @t173)) % 169.83/170.24 (define @t1190 () (forall @t179 @t1189)) % 169.83/170.24 (define @t1191 () (forall @t9 @t1190)) % 169.83/170.24 (define @t1192 () (forall (@list @t4 @t173) @t1189)) % 169.83/170.24 (define @t1193 () (not @t175)) % 169.83/170.24 (define @t1194 () (or @t1193 @t173)) % 169.83/170.24 (define @t1195 () (=> tptp.prop2setE @t1184)) % 169.83/170.24 (define @t1196 () (=> @t959 @t169)) % 169.83/170.24 (define @t1197 () (forall @t150 @t1196)) % 169.83/170.24 (define @t1198 () (=> tptp.exuE1 @t1195)) % 169.83/170.24 (define @t1199 () (not @t1156)) % 169.83/170.24 (define @t1200 () (or @t1199 @t686)) % 169.83/170.24 (define @t1201 () (not @t157)) % 169.83/170.24 (define @t1202 () (or @t1201 @t144)) % 169.83/170.24 (define @t1203 () (=> tptp.dsetconstrER @t1198)) % 169.83/170.24 (define @t1204 () (or @t1199 @t728)) % 169.83/170.24 (define @t1205 () (or @t1201 @t7)) % 169.83/170.24 (define @t1206 () (=> tptp.dsetconstrEL @t1203)) % 169.83/170.24 (define @t1207 () (or @t729 @t687 @t1156)) % 169.83/170.24 (define @t1208 () (or @t196 @t312 @t157)) % 169.83/170.24 (define @t1209 () (=> tptp.dsetconstrI @t1206)) % 169.83/170.24 (define @t1210 () (or @t683 (= @t554 @t19))) % 169.83/170.24 (define @t1211 () (forall @t70 @t1210)) % 169.83/170.24 (define @t1212 () (not @t1211)) % 169.83/170.24 (define @t1213 () (or @t793 @t792 @t1212)) % 169.83/170.24 (define @t1214 () (or @t792 @t1212)) % 169.83/170.24 (define @t1215 () (or @t1214 @t793)) % 169.83/170.24 (define @t1216 () (forall @t794 @t1215)) % 169.83/170.24 (define @t1217 () (@list @t554)) % 169.83/170.24 (define @t1218 () (forall @t1217 @t1215)) % 169.83/170.24 (define @t1219 () (forall @t1217 @t1214)) % 169.83/170.24 (define @t1220 () (or @t1219 @t793)) % 169.83/170.24 (define @t1221 () (tptp.descr @t1014)) % 169.83/170.24 (define @t1222 () (_ @t143 @t1221)) % 169.83/170.24 (define @t1223 () (or @t688 @t1222)) % 169.83/170.24 (define @t1224 () (or @t688 @t147)) % 169.83/170.24 (define @t1225 () (=> @t959 @t147)) % 169.83/170.24 (define @t1226 () (forall @t150 @t1225)) % 169.83/170.24 (define @t1227 () (=> tptp.descrp @t1209)) % 169.83/170.24 (define @t1228 () (and @t835 @t830 @t826 @t817)) % 169.83/170.24 (define @t1229 () (forall @t41 (not @t1228))) % 169.83/170.24 (define @t1230 () (not @t1229)) % 169.83/170.24 (define @t1231 () (@list @t565)) % 169.83/170.24 (define @t1232 () (forall @t1231 @t816)) % 169.83/170.24 (define @t1233 () (forall @t1231 @t813)) % 169.83/170.24 (define @t1234 () (or @t815 @t1233 @t812)) % 169.83/170.24 (define @t1235 () (forall @t9 @t809)) % 169.83/170.24 (define @t1236 () (or @t815 @t1235 @t812)) % 169.83/170.24 (define @t1237 () (not @t1235)) % 169.83/170.24 (define @t1238 () (and @t814 @t1237)) % 169.83/170.24 (define @t1239 () (not @t109)) % 169.83/170.24 (define @t1240 () (not @t110)) % 169.83/170.24 (define @t1241 () (or @t1240 @t1239 @t807 @t803)) % 169.83/170.24 (define @t1242 () (and @t110 @t109 @t806 @t802)) % 169.83/170.24 (define @t1243 () (forall @t112 (not @t1242))) % 169.83/170.24 (define @t1244 () (not @t1243)) % 169.83/170.24 (define @t1245 () (or @t797 @t796)) % 169.83/170.24 (define @t1246 () (or @t800 @t1245 @t798)) % 169.83/170.24 (define @t1247 () (forall @t560 @t1246)) % 169.83/170.24 (define @t1248 () (@list @t558)) % 169.83/170.24 (define @t1249 () (forall @t1248 @t1246)) % 169.83/170.24 (define @t1250 () (forall @t1248 @t1245)) % 169.83/170.24 (define @t1251 () (or @t800 @t1250 @t798)) % 169.83/170.24 (define @t1252 () (tptp.in @t19 @t93)) % 169.83/170.24 (define @t1253 () (forall @t70 (or (not @t1252) @t805))) % 169.83/170.24 (define @t1254 () (not @t100)) % 169.83/170.24 (define @t1255 () (or @t1254 @t1253 @t94)) % 169.83/170.24 (define @t1256 () (or @t1253 @t94)) % 169.83/170.24 (define @t1257 () (not @t97)) % 169.83/170.24 (define @t1258 () (or @t1257 @t96)) % 169.83/170.24 (define @t1259 () (not @t105)) % 169.83/170.24 (define @t1260 () (not @t96)) % 169.83/170.24 (define @t1261 () (or @t1260 @t1259)) % 169.83/170.24 (define @t1262 () (forall @t70 (not @t106))) % 169.83/170.24 (define @t1263 () (not @t1262)) % 169.83/170.24 (define @t1264 () (forall @t9 @t1239)) % 169.83/170.24 (define @t1265 () (not @t1264)) % 169.83/170.24 (define @t1266 () (or @t1239 @t7)) % 169.83/170.24 (define @t1267 () (or @t820 @t819)) % 169.83/170.24 (define @t1268 () (or @t822 @t821)) % 169.83/170.24 (define @t1269 () (or @t824 @t811 @t1268 @t1267)) % 169.83/170.24 (define @t1270 () (forall @t573 @t1269)) % 169.83/170.24 (define @t1271 () (forall (@list @t570 @t568) @t1269)) % 169.83/170.24 (define @t1272 () (forall (@list @t568) @t1267)) % 169.83/170.24 (define @t1273 () (forall (@list @t570) @t1268)) % 169.83/170.24 (define @t1274 () (or @t824 @t811 @t1273 @t1272)) % 169.83/170.24 (define @t1275 () (tptp.in @t4 @t95)) % 169.83/170.24 (define @t1276 () (forall @t9 (or (not @t1275) @t808))) % 169.83/170.24 (define @t1277 () (forall @t9 (or @t809 @t1275))) % 169.83/170.24 (define @t1278 () (not @t124)) % 169.83/170.24 (define @t1279 () (or @t1278 @t1240 @t1277 @t1276)) % 169.83/170.24 (define @t1280 () (or @t1277 @t1276)) % 169.83/170.24 (define @t1281 () (not @t120)) % 169.83/170.24 (define @t1282 () (or @t1281 @t109)) % 169.83/170.24 (define @t1283 () (or @t1239 @t120)) % 169.83/170.24 (define @t1284 () (or @t196 @t1117 @t829 @t129)) % 169.83/170.24 (define @t1285 () (=> @t828 @t129)) % 169.83/170.24 (define @t1286 () (or @t1278 @t130)) % 169.83/170.24 (define @t1287 () (or @t833 @t832)) % 169.83/170.24 (define @t1288 () (or @t824 @t1287)) % 169.83/170.24 (define @t1289 () (forall @t577 @t1288)) % 169.83/170.24 (define @t1290 () (@list @t575)) % 169.83/170.24 (define @t1291 () (forall @t1290 @t1288)) % 169.83/170.24 (define @t1292 () (forall @t1290 @t1287)) % 169.83/170.24 (define @t1293 () (or @t824 @t1292)) % 169.83/170.24 (define @t1294 () (or @t1278 @t814)) % 169.83/170.24 (define @t1295 () (=> tptp.wellorderingAx @t1227)) % 169.83/170.24 (define @t1296 () (@list @t581)) % 169.83/170.24 (define @t1297 () (forall @t1296 @t843)) % 169.83/170.24 (define @t1298 () (forall @t1296 @t842)) % 169.83/170.24 (define @t1299 () (or @t1298 @t841)) % 169.83/170.24 (define @t1300 () (or @t1079 @t840)) % 169.83/170.24 (define @t1301 () (and @t39 @t839)) % 169.83/170.24 (define @t1302 () (forall @t41 (not @t1301))) % 169.83/170.24 (define @t1303 () (not @t1302)) % 169.83/170.24 (define @t1304 () (or @t1080 @t196)) % 169.83/170.24 (define @t1305 () (forall @t9 (not @t84))) % 169.83/170.24 (define @t1306 () (not @t1305)) % 169.83/170.24 (define @t1307 () (=> tptp.foundationAx @t1295)) % 169.83/170.24 (define @t1308 () (= @t6 @t846)) % 169.83/170.24 (define @t1309 () (not @t68)) % 169.83/170.24 (define @t1310 () (or @t1117 @t1309)) % 169.83/170.24 (define @t1311 () (forall @t70 (not @t69))) % 169.83/170.24 (define @t1312 () (not @t1311)) % 169.83/170.24 (define @t1313 () (or @t196 @t852)) % 169.83/170.24 (define @t1314 () (_ @t75 @t586)) % 169.83/170.24 (define @t1315 () (not @t1314)) % 169.83/170.24 (define @t1316 () (or @t1315 @t850)) % 169.83/170.24 (define @t1317 () (not @t76)) % 169.83/170.24 (define @t1318 () (or @t1317 @t587)) % 169.83/170.24 (define @t1319 () (_ @t77 @t19)) % 169.83/170.24 (define @t1320 () (not @t1319)) % 169.83/170.24 (define @t1321 () (or @t1320 @t587)) % 169.83/170.24 (define @t1322 () (forall @t70 @t1321)) % 169.83/170.24 (define @t1323 () (not @t1322)) % 169.83/170.24 (define @t1324 () (_ @t77 @t586)) % 169.83/170.24 (define @t1325 () (not @t1324)) % 169.83/170.24 (define @t1326 () (or @t1325 @t1323)) % 169.83/170.24 (define @t1327 () (forall @t589 @t1326)) % 169.83/170.24 (define @t1328 () (not @t1327)) % 169.83/170.24 (define @t1329 () (not (_ @t143 @t586))) % 169.83/170.24 (define @t1330 () (or @t683 (= @t586 @t19))) % 169.83/170.24 (define @t1331 () (forall @t70 @t1330)) % 169.83/170.24 (define @t1332 () (not @t1331)) % 169.83/170.24 (define @t1333 () (or @t1329 @t1332)) % 169.83/170.24 (define @t1334 () (forall @t589 @t1333)) % 169.83/170.24 (define @t1335 () (not @t1334)) % 169.83/170.24 (define @t1336 () (=> @t7 (_ @t958 @t77))) % 169.83/170.24 (define @t1337 () (forall @t9 @t1336)) % 169.83/170.24 (define @t1338 () (=> @t1337 @t74)) % 169.83/170.24 (define @t1339 () (forall @t81 @t1338)) % 169.83/170.24 (define @t1340 () (=> tptp.replAx @t1307)) % 169.83/170.24 (define @t1341 () (or @t856 @t855)) % 169.83/170.24 (define @t1342 () (or @t864 @t862 @t1341)) % 169.83/170.24 (define @t1343 () (forall @t596 @t1342)) % 169.83/170.24 (define @t1344 () (@list @t592)) % 169.83/170.24 (define @t1345 () (forall @t1344 @t1342)) % 169.83/170.24 (define @t1346 () (forall @t1344 @t1341)) % 169.83/170.24 (define @t1347 () (or @t864 @t862 @t1346)) % 169.83/170.24 (define @t1348 () (forall @t9 (or @t860 @t728))) % 169.83/170.24 (define @t1349 () (not @t61)) % 169.83/170.24 (define @t1350 () (or @t1349 @t862 @t1348)) % 169.83/170.24 (define @t1351 () (and @t61 @t861)) % 169.83/170.24 (define @t1352 () (not @t54)) % 169.83/170.24 (define @t1353 () (or @t1352 @t7)) % 169.83/170.24 (define @t1354 () (_ tptp.in @t857)) % 169.83/170.24 (define @t1355 () (or @t1352 @t196 @t58)) % 169.83/170.24 (define @t1356 () (=> tptp.omegaIndAx @t1340)) % 169.83/170.24 (define @t1357 () (or @t1352 @t53)) % 169.83/170.24 (define @t1358 () (=> tptp.omegaSAx @t1356)) % 169.83/170.24 (define @t1359 () (=> tptp.omega0Ax @t1358)) % 169.83/170.24 (define @t1360 () (= @t44 @t748)) % 169.83/170.24 (define @t1361 () (forall @t41 (not @t40))) % 169.83/170.24 (define @t1362 () (not @t1361)) % 169.83/170.24 (define @t1363 () (=> tptp.setunionAx @t1359)) % 169.83/170.24 (define @t1364 () (= @t35 @t757)) % 169.83/170.24 (define @t1365 () (=> tptp.powersetAx @t1363)) % 169.83/170.24 (define @t1366 () (= @t26 @t1102)) % 169.83/170.24 (define @t1367 () (=> tptp.setadjoinAx @t1365)) % 169.83/170.24 (define @t1368 () (=> tptp.emptysetAx @t1367)) % 169.83/170.24 (define @t1369 () (=> tptp.setextAx @t1368)) % 169.83/170.24 (define @t1370 () (= @t419 @t19)) % 169.83/170.24 (define @t1371 () (forall @t70 (= @t1370 @t682))) % 169.83/170.24 (define @t1372 () (not @t1371)) % 169.83/170.24 (define @t1373 () (or @t1372 @t689)) % 169.83/170.24 (define @t1374 () (forall @t690 @t1373)) % 169.83/170.24 (define @t1375 () (@list @t419)) % 169.83/170.24 (define @t1376 () (forall @t1375 @t1373)) % 169.83/170.24 (define @t1377 () (forall @t1375 @t1372)) % 169.83/170.24 (define @t1378 () (or @t1377 @t689)) % 169.83/170.24 (define @t1379 () (=> @t263 @t959)) % 169.83/170.24 (define @t1380 () (forall @t150 @t1379)) % 169.83/170.24 (define @t1381 () (=> tptp.exuI3 @t1380)) % 169.83/170.24 (define @t1382 () (=> tptp.exuI1 @t1381)) % 169.83/170.24 (define @t1383 () (=> tptp.notdallE @t1382)) % 169.83/170.24 (define @t1384 () (=> tptp.notdexE @t1383)) % 169.83/170.24 (define @t1385 () (=> tptp.prop2set2propI @t1384)) % 169.83/170.24 (define @t1386 () (=> tptp.prop2setI @t1385)) % 169.83/170.24 (define @t1387 () (=> tptp.quantDeMorgan4 @t1386)) % 169.83/170.24 (define @t1388 () (=> tptp.quantDeMorgan3 @t1387)) % 169.83/170.24 (define @t1389 () (=> tptp.quantDeMorgan2 @t1388)) % 169.83/170.24 (define @t1390 () (=> tptp.quantDeMorgan1 @t1389)) % 169.83/170.24 (define @t1391 () (=> tptp.vacuousDall @t1390)) % 169.83/170.24 (define @t1392 () (=> tptp.emptyE1 @t1391)) % 169.83/170.24 (define @t1393 () (=> tptp.upairsetIR @t1392)) % 169.83/170.24 (define @t1394 () (=> tptp.upairsetIL @t1393)) % 169.83/170.24 (define @t1395 () (=> tptp.upairsetE @t1394)) % 169.83/170.24 (define @t1396 () (=> tptp.singletonsswitch @t1395)) % 169.83/170.24 (define @t1397 () (=> tptp.eqinunit @t1396)) % 169.83/170.24 (define @t1398 () (=> tptp.notinsingleton @t1397)) % 169.83/170.24 (define @t1399 () (=> tptp.uniqinunit @t1398)) % 169.83/170.24 (define @t1400 () (=> tptp.nonemptyImpWitness @t1399)) % 169.83/170.24 (define @t1401 () (=> tptp.exuE2 @t1400)) % 169.83/170.24 (define @t1402 () (=> tptp.subPowSU @t1401)) % 169.83/170.24 (define @t1403 () (=> tptp.setunionE @t1402)) % 169.83/170.24 (define @t1404 () (=> tptp.setunionI @t1403)) % 169.83/170.24 (define @t1405 () (=> tptp.powersetE @t1404)) % 169.83/170.24 (define @t1406 () (=> tptp.emptyInPowerset @t1405)) % 169.83/170.24 (define @t1407 () (=> tptp.emptyinPowerset @t1406)) % 169.83/170.24 (define @t1408 () (=> tptp.powersetI @t1407)) % 169.83/170.24 (define @t1409 () (=> tptp.setoftrueEq @t1408)) % 169.83/170.24 (define @t1410 () (=> tptp.setadjoinOr @t1409)) % 169.83/170.24 (define @t1411 () (=> tptp.setadjoinE @t1410)) % 169.83/170.24 (define @t1412 () (=> tptp.setadjoinIR @t1411)) % 169.83/170.24 (define @t1413 () (=> tptp.emptyinunitempty @t1412)) % 169.83/170.24 (define @t1414 () (=> tptp.setadjoinIL @t1413)) % 169.83/170.24 (define @t1415 () (=> tptp.nonemptyI1 @t1414)) % 169.83/170.24 (define @t1416 () (=> tptp.nonemptyI @t1415)) % 169.83/170.24 (define @t1417 () (=> tptp.nonemptyE1 @t1416)) % 169.83/170.24 (define @t1418 () (=> tptp.setbeta @t1417)) % 169.83/170.24 (define @t1419 () (=> tptp.noeltsimpempty @t1418)) % 169.83/170.24 (define @t1420 () (=> tptp.emptyI @t1419)) % 169.83/170.24 (define @t1421 () (=> tptp.setext @t1420)) % 169.83/170.24 (define @t1422 () (=> tptp.exuE3e @t1421)) % 169.83/170.24 (define @t1423 () (=> tptp.notinemptyset @t1422)) % 169.83/170.24 (define @t1424 () (=> tptp.emptysetimpfalse @t1423)) % 169.83/170.24 (define @t1425 () (=> tptp.emptysetE @t1424)) % 169.83/170.24 (define @t1426 () (=> tptp.prop2setE @t1425)) % 169.83/170.24 (define @t1427 () (=> tptp.exuE1 @t1426)) % 169.83/170.24 (define @t1428 () (=> tptp.dsetconstrER @t1427)) % 169.83/170.24 (define @t1429 () (=> tptp.dsetconstrEL @t1428)) % 169.83/170.24 (define @t1430 () (=> tptp.dsetconstrI @t1429)) % 169.83/170.24 (define @t1431 () (=> tptp.descrp @t1430)) % 169.83/170.24 (define @t1432 () (=> tptp.wellorderingAx @t1431)) % 169.83/170.24 (define @t1433 () (=> tptp.foundationAx @t1432)) % 169.83/170.24 (define @t1434 () (=> tptp.replAx @t1433)) % 169.83/170.24 (define @t1435 () (=> tptp.omegaIndAx @t1434)) % 169.83/170.24 (define @t1436 () (=> tptp.omegaSAx @t1435)) % 169.83/170.24 (define @t1437 () (=> tptp.omega0Ax @t1436)) % 169.83/170.24 (define @t1438 () (=> tptp.setunionAx @t1437)) % 169.83/170.24 (define @t1439 () (=> tptp.powersetAx @t1438)) % 169.83/170.24 (define @t1440 () (=> tptp.setadjoinAx @t1439)) % 169.83/170.24 (define @t1441 () (=> tptp.emptysetAx @t1440)) % 169.83/170.24 (define @t1442 () (=> tptp.setextAx @t1441)) % 169.83/170.24 (define @t1443 () (@quantifiers_skolemize @t422 0)) % 169.83/170.24 (define @t1444 () (_ @t413 @t1443 @t19)) % 169.83/170.24 (define @t1445 () (@quantifiers_skolemize @t422 1)) % 169.83/170.24 (define @t1446 () (= @t19 @t1445)) % 169.83/170.24 (define @t1447 () (forall @t70 (= @t1446 @t1444))) % 169.83/170.24 (define @t1448 () (not @t1444)) % 169.83/170.24 (define @t1449 () (forall @t9 (or (not (_ @t413 @t1443 @t4)) (not (forall @t70 (or @t1448 @t129)))))) % 169.83/170.24 (define @t1450 () (not @t1449)) % 169.83/170.24 (define @t1451 () (not @t1447)) % 169.83/170.24 (define @t1452 () (or @t1451 @t1450)) % 169.83/170.24 (define @t1453 () (@list true)) % 169.83/170.24 (define @t1454 () (@list @t1452)) % 169.83/170.24 (define @t1455 () (or @t1448 (= @t1445 @t19))) % 169.83/170.24 (define @t1456 () (forall @t70 @t1455)) % 169.83/170.24 (define @t1457 () (not @t1456)) % 169.83/170.24 (define @t1458 () (_ @t413 @t1443 @t1445)) % 169.83/170.24 (define @t1459 () (not @t1458)) % 169.83/170.24 (define @t1460 () (or @t1459 @t1457)) % 169.83/170.24 (define @t1461 () (@list @t1445)) % 169.83/170.24 (define @t1462 () (forall @t70 (or @t1448 @t1446))) % 169.83/170.24 (define @t1463 () (not @t1462)) % 169.83/170.24 (define @t1464 () (or @t1459 @t1463)) % 169.83/170.24 (define @t1465 () (@list false)) % 169.83/170.24 (define @t1466 () (= @t1445 @t1445)) % 169.83/170.24 (define @t1467 () (= @t1466 @t1458)) % 169.83/170.24 (define @t1468 () (@quantifiers_skolemize @t1462 0)) % 169.83/170.24 (define @t1469 () (= @t1445 @t1468)) % 169.83/170.24 (define @t1470 () (_ @t413 @t1443 @t1468)) % 169.83/170.24 (define @t1471 () (not @t1470)) % 169.83/170.24 (define @t1472 () (or @t1471 @t1469)) % 169.83/170.24 (define @t1473 () (not @t1472)) % 169.83/170.24 (define @t1474 () (= @t1468 @t1445)) % 169.83/170.24 (define @t1475 () (or @t1471 @t1474)) % 169.83/170.24 (define @t1476 () (not @t1475)) % 169.83/170.24 (define @t1477 () (@list @t1472)) % 169.83/170.24 (define @t1478 () (= @t1470 @t1469)) % 169.83/170.24 (define @t1479 () (not @t1478)) % 169.83/170.24 (define @t1480 () (= @t1474 @t1470)) % 169.83/170.24 (assume @p1 @t14) % 169.83/170.24 (assume @p2 @t18) % 169.83/170.24 (assume @p3 @t30) % 169.83/170.24 (assume @p4 @t38) % 169.83/170.24 (assume @p5 @t48) % 169.83/170.24 (assume @p6 (= tptp.omega0Ax @t50)) % 169.83/170.24 (assume @p7 @t56) % 169.83/170.24 (assume @p8 @t66) % 169.83/170.24 (assume @p9 @t83) % 169.83/170.24 (assume @p10 @t92) % 169.83/170.24 (assume @p11 @t142) % 169.83/170.24 (assume @p12 @t152) % 169.83/170.24 (assume @p13 @t161) % 169.83/170.24 (assume @p14 @t163) % 169.83/170.24 (assume @p15 @t165) % 169.83/170.24 (assume @p16 @t172) % 169.83/170.24 (assume @p17 @t178) % 169.83/170.24 (assume @p18 @t183) % 169.83/170.24 (assume @p19 @t185) % 169.83/170.24 (assume @p20 (= tptp.notinemptyset @t17)) % 169.83/170.24 (assume @p21 @t189) % 169.83/170.24 (assume @p22 @t194) % 169.83/170.24 (assume @p23 @t200) % 169.83/170.24 (assume @p24 (= tptp.noeltsimpempty @t199)) % 169.83/170.24 (assume @p25 @t203) % 169.83/170.24 (assume @p26 @t207) % 169.83/170.24 (assume @p27 @t211) % 169.83/170.24 (assume @p28 @t214) % 169.83/170.24 (assume @p29 @t218) % 169.83/170.24 (assume @p30 (= tptp.emptyinunitempty @t219)) % 169.83/170.24 (assume @p31 @t221) % 169.83/170.24 (assume @p32 @t229) % 169.83/170.24 (assume @p33 @t232) % 169.83/170.24 (assume @p34 @t236) % 169.83/170.24 (assume @p35 @t239) % 169.83/170.24 (assume @p36 @t242) % 169.83/170.24 (assume @p37 (= tptp.emptyInPowerset @t241)) % 169.83/170.24 (assume @p38 @t245) % 169.83/170.24 (assume @p39 @t249) % 169.83/170.24 (assume @p40 @t256) % 169.83/170.24 (assume @p41 @t260) % 169.83/170.24 (assume @p42 @t266) % 169.83/170.24 (assume @p43 @t271) % 169.83/170.24 (assume @p44 @t275) % 169.83/170.24 (assume @p45 @t281) % 169.83/170.24 (assume @p46 @t283) % 169.83/170.24 (assume @p47 @t285) % 169.83/170.24 (assume @p48 @t294) % 169.83/170.24 (assume @p49 @t297) % 169.83/170.24 (assume @p50 @t300) % 169.83/170.24 (assume @p51 @t308) % 169.83/170.24 (assume @p52 @t311) % 169.83/170.24 (assume @p53 @t319) % 169.83/170.24 (assume @p54 @t324) % 169.83/170.24 (assume @p55 @t327) % 169.83/170.24 (assume @p56 @t330) % 169.83/170.24 (assume @p57 @t333) % 169.83/170.24 (assume @p58 @t336) % 169.83/170.24 (assume @p59 (= tptp.notdexE @t326)) % 169.83/170.24 (assume @p60 (= tptp.notdallE @t318)) % 169.83/170.24 (assume @p61 @t339) % 169.83/170.24 (assume @p62 @t344) % 169.83/170.24 (assume @p63 @t409) % 169.83/170.24 (assume @p64 true) % 169.83/170.24 (step @p65 (= tptp.exu @t410) :rule refl :args (@t410)) % 169.83/170.24 (step @p66 (= tptp.nonempty @t411) :rule refl :args (@t411)) % 169.83/170.24 (step @p67 :rule refl :args (@t425)) % 169.83/170.24 (step @p68 :rule skolem_intro :args ((@purify true))) % 169.83/170.24 (step @p69 :rule symm :premises (@p68)) % 169.83/170.24 (step @p70 :rule refl :args (@t426)) % 169.83/170.24 (step @p71 :rule cong :premises (@p70 @p69) :args (@t428)) % 169.83/170.24 (step @p72 :rule refl :args (@t429)) % 169.83/170.24 (step @p73 :rule cong :premises (@p72 @p71) :args (@t430)) % 169.83/170.24 (step @p74 :rule cong :premises (@p73 @p67) :args (@t431)) % 169.83/170.24 (step @p75 :rule refl :args (@t434)) % 169.83/170.24 (step @p76 :rule cong :premises (@p75 @p71) :args (@t435)) % 169.83/170.24 (step @p77 :rule cong :premises (@p76 @p74) :args (@t436)) % 169.83/170.24 (step @p78 :rule refl :args (@t439)) % 169.83/170.24 (step @p79 :rule cong :premises (@p78 @p77) :args (@t440)) % 169.83/170.24 (step @p80 :rule refl :args (@t446)) % 169.83/170.24 (step @p81 :rule cong :premises (@p80 @p79) :args (@t447)) % 169.83/170.24 (step @p82 :rule refl :args (@t455)) % 169.83/170.24 (step @p83 :rule cong :premises (@p82 @p81) :args (@t456)) % 169.83/170.24 (step @p84 :rule refl :args (@t457)) % 169.83/170.24 (step @p85 :rule cong :premises (@p84 @p83) :args (@t458)) % 169.83/170.24 (step @p86 :rule refl :args (@t461)) % 169.83/170.24 (step @p87 :rule cong :premises (@p86 @p85) :args (@t462)) % 169.83/170.24 (step @p88 :rule refl :args (@t465)) % 169.83/170.24 (step @p89 :rule cong :premises (@p88 @p87) :args (@t466)) % 169.83/170.24 (step @p90 :rule refl :args (@t467)) % 169.83/170.24 (step @p91 :rule cong :premises (@p90 @p89) :args (@t468)) % 169.83/170.24 (step @p92 :rule refl :args (@t469)) % 169.83/170.24 (step @p93 :rule cong :premises (@p92 @p91) :args (@t470)) % 169.83/170.24 (step @p94 :rule refl :args (@t471)) % 169.83/170.24 (step @p95 :rule cong :premises (@p94 @p93) :args (@t472)) % 169.83/170.24 (step @p96 :rule refl :args (@t476)) % 169.83/170.24 (step @p97 :rule cong :premises (@p96 @p95) :args (@t477)) % 169.83/170.24 (step @p98 :rule refl :args (@t480)) % 169.83/170.24 (step @p99 :rule cong :premises (@p98 @p97) :args (@t481)) % 169.83/170.24 (step @p100 :rule refl :args (@t484)) % 169.83/170.24 (step @p101 :rule cong :premises (@p100 @p99) :args (@t485)) % 169.83/170.24 (step @p102 :rule refl :args (@t492)) % 169.83/170.24 (step @p103 :rule cong :premises (@p102 @p101) :args (@t493)) % 169.83/170.24 (step @p104 :rule refl :args (@t494)) % 169.83/170.24 (step @p105 :rule cong :premises (@p104 @p103) :args (@t495)) % 169.83/170.24 (step @p106 :rule refl :args (@t498)) % 169.83/170.24 (step @p107 :rule cong :premises (@p106 @p105) :args (@t499)) % 169.83/170.24 (step @p108 :rule refl :args (@t500)) % 169.83/170.24 (step @p109 :rule cong :premises (@p108 @p107) :args (@t501)) % 169.83/170.24 (step @p110 :rule cong :premises (@p108 @p109) :args (@t502)) % 169.83/170.24 (step @p111 :rule refl :args (@t505)) % 169.83/170.24 (step @p112 :rule cong :premises (@p111 @p110) :args (@t506)) % 169.83/170.24 (step @p113 :rule refl :args (@t507)) % 169.83/170.24 (step @p114 :rule cong :premises (@p113 @p112) :args (@t508)) % 169.83/170.24 (step @p115 :rule refl :args (@t511)) % 169.83/170.24 (step @p116 :rule cong :premises (@p115 @p114) :args (@t512)) % 169.83/170.24 (step @p117 :rule cong :premises (@p115 @p116) :args (@t513)) % 169.83/170.24 (step @p118 :rule refl :args (@t515)) % 169.83/170.24 (step @p119 :rule cong :premises (@p118 @p117) :args (@t516)) % 169.83/170.24 (step @p120 :rule refl :args (@t517)) % 169.83/170.24 (step @p121 :rule cong :premises (@p120 @p119) :args (@t518)) % 169.83/170.24 (step @p122 :rule refl :args (@t519)) % 169.83/170.24 (step @p123 :rule cong :premises (@p122 @p121) :args (@t520)) % 169.83/170.24 (step @p124 :rule refl :args (@t523)) % 169.83/170.24 (step @p125 :rule cong :premises (@p124 @p123) :args (@t524)) % 169.83/170.24 (step @p126 :rule refl :args (@t526)) % 169.83/170.24 (step @p127 :rule cong :premises (@p126 @p125) :args (@t527)) % 169.83/170.24 (step @p128 :rule cong :premises (@p96 @p127) :args (@t528)) % 169.83/170.24 (step @p129 :rule refl :args (@t530)) % 169.83/170.24 (step @p130 :rule cong :premises (@p129 @p128) :args (@t531)) % 169.83/170.24 (step @p131 :rule refl :args (@t532)) % 169.83/170.24 (step @p132 :rule cong :premises (@p131 @p130) :args (@t533)) % 169.83/170.24 (step @p133 :rule cong :premises (@p131 @p132) :args (@t534)) % 169.83/170.24 (step @p134 :rule refl :args (@t535)) % 169.83/170.24 (step @p135 :rule cong :premises (@p134 @p133) :args (@t536)) % 169.83/170.24 (step @p136 :rule refl :args (@t539)) % 169.83/170.24 (step @p137 :rule cong :premises (@p136 @p135) :args (@t540)) % 169.83/170.24 (step @p138 :rule refl :args (@t541)) % 169.83/170.24 (step @p139 :rule cong :premises (@p138 @p137) :args (@t542)) % 169.83/170.24 (step @p140 :rule cong :premises (@p138 @p139) :args (@t543)) % 169.83/170.24 (step @p141 :rule cong :premises (@p138 @p140) :args (@t544)) % 169.83/170.24 (step @p142 :rule refl :args (@t545)) % 169.83/170.24 (step @p143 :rule cong :premises (@p142 @p141) :args (@t546)) % 169.83/170.24 (step @p144 :rule refl :args (@t548)) % 169.83/170.24 (step @p145 :rule cong :premises (@p144 @p143) :args (@t549)) % 169.83/170.24 (step @p146 :rule refl :args (@t550)) % 169.83/170.24 (step @p147 :rule cong :premises (@p146 @p145) :args (@t551)) % 169.83/170.24 (step @p148 :rule refl :args (@t552)) % 169.83/170.24 (step @p149 :rule cong :premises (@p148 @p147) :args (@t553)) % 169.83/170.24 (step @p150 :rule refl :args (@t556)) % 169.83/170.24 (step @p151 :rule cong :premises (@p150 @p149) :args (@t557)) % 169.83/170.24 (step @p152 :rule refl :args (@t579)) % 169.83/170.24 (step @p153 :rule cong :premises (@p152 @p151) :args (@t580)) % 169.83/170.24 (step @p154 :rule refl :args (@t583)) % 169.83/170.24 (step @p155 :rule cong :premises (@p154 @p153) :args (@t584)) % 169.83/170.24 (step @p156 :rule refl :args (@t590)) % 169.83/170.24 (step @p157 :rule cong :premises (@p156 @p155) :args (@t591)) % 169.83/170.24 (step @p158 :rule refl :args (@t597)) % 169.83/170.24 (step @p159 :rule cong :premises (@p158 @p157) :args (@t598)) % 169.83/170.24 (step @p160 :rule refl :args (@t599)) % 169.83/170.24 (step @p161 :rule cong :premises (@p160 @p159) :args (@t600)) % 169.83/170.24 (step @p162 :rule refl :args (@t601)) % 169.83/170.24 (step @p163 :rule cong :premises (@p162 @p161) :args (@t602)) % 169.83/170.24 (step @p164 :rule refl :args (@t603)) % 169.83/170.24 (step @p165 :rule cong :premises (@p164 @p163) :args (@t604)) % 169.83/170.24 (step @p166 :rule refl :args (@t605)) % 169.83/170.24 (step @p167 :rule cong :premises (@p166 @p165) :args (@t606)) % 169.83/170.24 (step @p168 :rule refl :args (@t607)) % 169.83/170.24 (step @p169 :rule cong :premises (@p168 @p167) :args (@t608)) % 169.83/170.24 (step @p170 :rule cong :premises (@p138 @p169) :args (@t609)) % 169.83/170.24 (step @p171 :rule refl :args (@t610)) % 169.83/170.24 (step @p172 :rule cong :premises (@p171 @p170) :args (@t611)) % 169.83/170.24 (step @p173 :rule cong :premises (@p172) :args ((not @t611))) % 169.83/170.24 (step @p174 :rule refl :args (@t418)) % 169.83/170.24 (step @p175 :rule eq-symm :args (@t414 @t420)) % 169.83/170.24 (step @p176 :rule cong :premises (@p175) :args (@t612)) % 169.83/170.24 (step @p177 :rule cong :premises (@p176) :args (@t613)) % 169.83/170.24 (step @p178 :rule nary_cong :premises (@p177 @p174) :args (@t614)) % 169.83/170.24 (step @p179 :rule cong :premises (@p178) :args (@t615)) % 169.83/170.24 (step @p180 :rule refl :args (@t424)) % 169.83/170.24 (step @p181 :rule cong :premises (@p180 @p179) :args (@t616)) % 169.83/170.24 (step @p182 :rule refl :args (@t430)) % 169.83/170.24 (step @p183 :rule cong :premises (@p182 @p181) :args (@t617)) % 169.83/170.24 (step @p184 :rule refl :args (@t435)) % 169.83/170.24 (step @p185 :rule cong :premises (@p184 @p183) :args (@t618)) % 169.83/170.24 (step @p186 :rule cong :premises (@p78 @p185) :args (@t619)) % 169.83/170.24 (step @p187 :rule cong :premises (@p80 @p186) :args (@t620)) % 169.83/170.24 (step @p188 :rule cong :premises (@p82 @p187) :args (@t621)) % 169.83/170.24 (step @p189 :rule cong :premises (@p84 @p188) :args (@t622)) % 169.83/170.24 (step @p190 :rule cong :premises (@p86 @p189) :args (@t623)) % 169.83/170.24 (step @p191 :rule cong :premises (@p88 @p190) :args (@t624)) % 169.83/170.24 (step @p192 :rule cong :premises (@p90 @p191) :args (@t625)) % 169.83/170.24 (step @p193 :rule cong :premises (@p92 @p192) :args (@t626)) % 169.83/170.24 (step @p194 :rule cong :premises (@p94 @p193) :args (@t627)) % 169.83/170.24 (step @p195 :rule cong :premises (@p96 @p194) :args (@t628)) % 169.83/170.24 (step @p196 :rule cong :premises (@p98 @p195) :args (@t629)) % 169.83/170.24 (step @p197 :rule cong :premises (@p100 @p196) :args (@t630)) % 169.83/170.24 (step @p198 :rule cong :premises (@p102 @p197) :args (@t631)) % 169.83/170.24 (step @p199 :rule cong :premises (@p104 @p198) :args (@t632)) % 169.83/170.24 (step @p200 :rule cong :premises (@p106 @p199) :args (@t633)) % 169.83/170.24 (step @p201 :rule cong :premises (@p108 @p200) :args (@t634)) % 169.83/170.24 (step @p202 :rule cong :premises (@p108 @p201) :args (@t635)) % 169.83/170.24 (step @p203 :rule cong :premises (@p111 @p202) :args (@t636)) % 169.83/170.24 (step @p204 :rule cong :premises (@p113 @p203) :args (@t637)) % 169.83/170.24 (step @p205 :rule cong :premises (@p115 @p204) :args (@t638)) % 169.83/170.24 (step @p206 :rule cong :premises (@p115 @p205) :args (@t639)) % 169.83/170.24 (step @p207 :rule cong :premises (@p118 @p206) :args (@t640)) % 169.83/170.24 (step @p208 :rule cong :premises (@p120 @p207) :args (@t641)) % 169.83/170.24 (step @p209 :rule cong :premises (@p122 @p208) :args (@t642)) % 169.83/170.24 (step @p210 :rule cong :premises (@p124 @p209) :args (@t643)) % 169.83/170.24 (step @p211 :rule cong :premises (@p126 @p210) :args (@t644)) % 169.83/170.24 (step @p212 :rule cong :premises (@p96 @p211) :args (@t645)) % 169.83/170.24 (step @p213 :rule cong :premises (@p129 @p212) :args (@t646)) % 169.83/170.24 (step @p214 :rule cong :premises (@p131 @p213) :args (@t647)) % 169.83/170.24 (step @p215 :rule cong :premises (@p131 @p214) :args (@t648)) % 169.83/170.24 (step @p216 :rule cong :premises (@p134 @p215) :args (@t649)) % 169.83/170.24 (step @p217 :rule cong :premises (@p136 @p216) :args (@t650)) % 169.83/170.24 (step @p218 :rule cong :premises (@p138 @p217) :args (@t651)) % 169.83/170.24 (step @p219 :rule cong :premises (@p138 @p218) :args (@t652)) % 169.83/170.24 (step @p220 :rule cong :premises (@p138 @p219) :args (@t653)) % 169.83/170.24 (step @p221 :rule cong :premises (@p142 @p220) :args (@t654)) % 169.83/170.24 (step @p222 :rule cong :premises (@p144 @p221) :args (@t655)) % 169.83/170.24 (step @p223 :rule cong :premises (@p146 @p222) :args (@t656)) % 169.83/170.24 (step @p224 :rule cong :premises (@p148 @p223) :args (@t657)) % 169.83/170.24 (step @p225 :rule cong :premises (@p150 @p224) :args (@t658)) % 169.83/170.24 (step @p226 :rule refl :args (@t567)) % 169.83/170.24 (step @p227 :rule refl :args (@t574)) % 169.83/170.24 (step @p228 :rule refl :args (@t129)) % 169.83/170.24 (step @p229 :rule eq-symm :args (@t562 @t561)) % 169.83/170.24 (step @p230 :rule refl :args (@t572)) % 169.83/170.24 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t659)) % 169.83/170.24 (step @p232 :rule cong :premises (@p231) :args (@t660)) % 169.83/170.24 (step @p233 :rule cong :premises (@p232) :args (@t661)) % 169.83/170.24 (step @p234 :rule refl :args (@t514)) % 169.83/170.24 (step @p235 :rule refl :args (@t474)) % 169.83/170.24 (step @p236 :rule nary_cong :premises (@p235 @p234 @p233 @p228) :args (@t662)) % 169.83/170.24 (step @p237 :rule cong :premises (@p236) :args (@t663)) % 169.83/170.24 (step @p238 :rule cong :premises (@p237) :args (@t664)) % 169.83/170.24 (step @p239 :rule refl :args (@t578)) % 169.83/170.24 (step @p240 :rule nary_cong :premises (@p239 @p238 @p227 @p226) :args (@t665)) % 169.83/170.24 (step @p241 :rule cong :premises (@p240) :args (@t666)) % 169.83/170.24 (step @p242 :rule cong :premises (@p241) :args (@t667)) % 169.83/170.24 (step @p243 :rule cong :premises (@p242) :args (@t668)) % 169.83/170.24 (step @p244 :rule cong :premises (@p243 @p225) :args (@t669)) % 169.83/170.24 (step @p245 :rule cong :premises (@p154 @p244) :args (@t670)) % 169.83/170.24 (step @p246 :rule cong :premises (@p156 @p245) :args (@t671)) % 169.83/170.24 (step @p247 :rule cong :premises (@p158 @p246) :args (@t672)) % 169.83/170.24 (step @p248 :rule cong :premises (@p160 @p247) :args (@t673)) % 169.83/170.24 (step @p249 :rule cong :premises (@p162 @p248) :args (@t674)) % 169.83/170.24 (step @p250 :rule cong :premises (@p164 @p249) :args (@t675)) % 169.83/170.24 (step @p251 :rule eq-symm :args (@t503 @t497)) % 169.83/170.24 (step @p252 :rule cong :premises (@p251) :args (@t676)) % 169.83/170.24 (step @p253 :rule cong :premises (@p252 @p250) :args (@t677)) % 169.83/170.24 (step @p254 :rule cong :premises (@p168 @p253) :args (@t678)) % 169.83/170.24 (step @p255 :rule cong :premises (@p138 @p254) :args (@t679)) % 169.83/170.24 (step @p256 :rule cong :premises (@p171 @p255) :args (@t680)) % 169.83/170.24 (step @p257 :rule cong :premises (@p256) :args (@t681)) % 169.83/170.24 ; WARNING: add trust step for TRUST % 169.83/170.24 ; trust TRUST PREPROCESS_HO_ELIM % 169.83/170.24 (step @p258 :rule trust :premises () :args ((= @t875 @t681))) % 169.83/170.24 ; trust TRUST PREPROCESS_HO_ELIM % 169.83/170.24 (step @p259 :rule trust :premises () :args ((= (not (=> @t874 (=> @t785 (=> @t872 (=> @t870 (=> @t869 (=> @t50 (=> @t868 (=> @t866 (=> @t854 (=> @t844 (=> @t838 (=> @t795 (=> @t791 (=> @t790 (=> @t789 (=> @t787 (=> @t785 (=> @t785 (=> @t785 (=> @t784 (=> @t779 (=> @t775 (=> @t775 (=> @t774 (=> @t732 (=> @t772 (=> @t771 (=> @t769 (=> @t219 (=> @t766 (=> @t764 (=> @t764 (=> @t879 @t760)))))))))))))))))))))))))))))))))) @t875))) % 169.83/170.24 (step @p260 :rule bool-impl-true2 :args (@t697)) % 169.83/170.24 (step @p261 :rule bool-impl-true2 :args (@t697)) % 169.83/170.24 (step @p262 :rule refl :args (true)) % 169.83/170.24 (step @p263 :rule cong :premises (@p262 @p261) :args (@t880)) % 169.83/170.24 (step @p264 :rule trans :premises (@p263 @p260)) % 169.83/170.24 (step @p265 :rule cong :premises (@p262 @p261) :args (@t880)) % 169.83/170.24 (step @p266 :rule cong :premises (@p262 @p265) :args (@t881)) % 169.83/170.24 (step @p267 :rule trans :premises (@p266 @p264)) % 169.83/170.24 (step @p268 :rule refl :args (@t699)) % 169.83/170.24 (step @p269 :rule cong :premises (@p268 @p267) :args (@t882)) % 169.83/170.24 (step @p270 :rule refl :args (@t700)) % 169.83/170.24 (step @p271 :rule cong :premises (@p270 @p269) :args (@t883)) % 169.83/170.24 (step @p272 :rule bool-impl-true2 :args (@t883)) % 169.83/170.24 (step @p273 :rule trans :premises (@p272 @p271)) % 169.83/170.24 (step @p274 :rule bool-impl-true2 :args (@t883)) % 169.83/170.24 (step @p275 :rule cong :premises (@p262 @p274) :args (@t884)) % 169.83/170.24 (step @p276 :rule trans :premises (@p275 @p273)) % 169.83/170.24 (step @p277 :rule cong :premises (@p262 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@p2487 :rule cong :premises (@p1191 @p2486) :args (@t371)) % 169.83/170.25 (step @p2488 :rule cong :premises (@p1196 @p2487) :args (@t372)) % 169.83/170.25 (step @p2489 :rule cong :premises (@p1214 @p2488) :args (@t373)) % 169.83/170.25 (step @p2490 :rule cong :premises (@p1232 @p2489) :args (@t374)) % 169.83/170.25 (step @p2491 :rule cong :premises (@p1257 @p2490) :args (@t375)) % 169.83/170.25 (step @p2492 :rule cong :premises (@p1295 @p2491) :args (@t376)) % 169.83/170.25 (step @p2493 :rule cong :premises (@p1350 @p2492) :args (@t377)) % 169.83/170.25 (step @p2494 :rule cong :premises (@p1360 @p2493) :args (@t378)) % 169.83/170.25 (step @p2495 :rule cong :premises (@p2428 @p2494) :args (@t379)) % 169.83/170.25 (step @p2496 :rule cong :premises (@p1381 @p2495) :args (@t380)) % 169.83/170.25 (step @p2497 :rule cong :premises (@p1422 @p2496) :args (@t381)) % 169.83/170.25 (step @p2498 :rule cong :premises (@p1473 @p2497) :args (@t382)) % 169.83/170.25 (step @p2499 :rule cong :premises (@p1487 @p2498) :args (@t383)) % 169.83/170.25 (step @p2500 :rule cong :premises (@p1522 @p2499) :args (@t384)) % 169.83/170.25 (step @p2501 :rule cong :premises (@p1527 @p2500) :args (@t385)) % 169.83/170.25 (step @p2502 :rule cong :premises (@p1540 @p2501) :args (@t386)) % 169.83/170.25 (step @p2503 :rule cong :premises (@p1562 @p2502) :args (@t387)) % 169.83/170.25 (step @p2504 :rule cong :premises (@p1594 @p2503) :args (@t388)) % 169.83/170.25 (step @p2505 :rule cong :premises (@p1603 @p2504) :args (@t389)) % 169.83/170.25 (step @p2506 :rule cong :premises (@p1614 @p2505) :args (@t390)) % 169.83/170.25 (step @p2507 :rule cong :premises (@p1629 @p2506) :args (@t391)) % 169.83/170.25 (step @p2508 :rule cong :premises (@p1665 @p2507) :args (@t392)) % 169.83/170.25 (step @p2509 :rule cong :premises (@p1674 @p2508) :args (@t393)) % 169.83/170.25 (step @p2510 :rule cong :premises (@p1694 @p2509) :args (@t394)) % 169.83/170.25 (step @p2511 :rule cong :premises (@p1707 @p2510) :args (@t395)) % 169.83/170.25 (step @p2512 :rule cong :premises (@p1724 @p2511) :args (@t396)) % 169.83/170.25 (step @p2513 :rule cong :premises (@p1789 @p2512) :args (@t397)) % 169.83/170.25 (step @p2514 :rule cong :premises (@p2060 @p2513) :args (@t398)) % 169.83/170.25 (step @p2515 :rule cong :premises (@p2105 @p2514) :args (@t399)) % 169.83/170.25 (step @p2516 :rule cong :premises (@p2198 @p2515) :args (@t400)) % 169.83/170.25 (step @p2517 :rule cong :premises (@p2285 @p2516) :args (@t401)) % 169.83/170.25 (step @p2518 :rule cong :premises (@p2305 @p2517) :args (@t402)) % 169.83/170.25 (step @p2519 :rule cong :premises (@p2453 @p2518) :args (@t403)) % 169.83/170.25 (step @p2520 :rule cong :premises (@p2324 @p2519) :args (@t404)) % 169.83/170.25 (step @p2521 :rule cong :premises (@p2337 @p2520) :args (@t405)) % 169.83/170.25 (step @p2522 :rule cong :premises (@p2347 @p2521) :args (@t406)) % 169.83/170.25 (step @p2523 :rule cong :premises (@p2351 @p2522) :args (@t407)) % 169.83/170.25 (step @p2524 :rule cong :premises (@p2362 @p2523) :args (@t408)) % 169.83/170.25 (step @p2525 :rule cong :premises (@p2524) :args (@t409)) % 169.83/170.25 (step @p2526 :rule trans :premises (@p2525 @p2460)) % 169.83/170.25 (step @p2527 :rule trans :premises (@p2526 @p2367 @p259 @p258 @p257 @p173)) % 169.83/170.25 (step @p2528 :rule eq_resolve :premises (@p63 @p2527)) % 169.83/170.25 (step @p2529 :rule not_implies_elim2 :premises (@p2528)) % 169.83/170.25 (step @p2530 :rule not_implies_elim2 :premises (@p2529)) % 169.83/170.25 (step @p2531 :rule not_implies_elim2 :premises (@p2530)) % 169.83/170.25 (step @p2532 :rule not_implies_elim2 :premises (@p2531)) % 169.83/170.25 (step @p2533 :rule not_implies_elim2 :premises (@p2532)) % 169.83/170.25 (step @p2534 :rule not_implies_elim2 :premises (@p2533)) % 169.83/170.25 (step @p2535 :rule not_implies_elim2 :premises (@p2534)) % 169.83/170.25 (step @p2536 :rule not_implies_elim2 :premises (@p2535)) % 169.83/170.25 (step @p2537 :rule not_implies_elim2 :premises (@p2536)) % 169.83/170.25 (step @p2538 :rule not_implies_elim2 :premises (@p2537)) % 169.83/170.25 (step @p2539 :rule not_implies_elim2 :premises (@p2538)) % 169.83/170.25 (step @p2540 :rule not_implies_elim2 :premises (@p2539)) % 169.83/170.25 (step @p2541 :rule not_implies_elim2 :premises (@p2540)) % 169.83/170.25 (step @p2542 :rule not_implies_elim2 :premises (@p2541)) % 169.83/170.25 (step @p2543 :rule not_implies_elim2 :premises (@p2542)) % 169.83/170.25 (step @p2544 :rule not_implies_elim2 :premises (@p2543)) % 169.83/170.25 (step @p2545 :rule not_implies_elim2 :premises (@p2544)) % 169.83/170.25 (step @p2546 :rule not_implies_elim2 :premises (@p2545)) % 169.83/170.25 (step @p2547 :rule not_implies_elim2 :premises (@p2546)) % 169.83/170.25 (step @p2548 :rule not_implies_elim2 :premises (@p2547)) % 169.83/170.25 (step @p2549 :rule not_implies_elim2 :premises (@p2548)) % 169.83/170.25 (step @p2550 :rule not_implies_elim2 :premises (@p2549)) % 169.83/170.25 (step @p2551 :rule not_implies_elim2 :premises (@p2550)) % 169.83/170.25 (step @p2552 :rule not_implies_elim2 :premises (@p2551)) % 169.83/170.25 (step @p2553 :rule not_implies_elim2 :premises (@p2552)) % 169.83/170.25 (step @p2554 :rule not_implies_elim2 :premises (@p2553)) % 169.83/170.25 (step @p2555 :rule not_implies_elim2 :premises (@p2554)) % 169.83/170.25 (step @p2556 :rule not_implies_elim2 :premises (@p2555)) % 169.83/170.25 (step @p2557 :rule not_implies_elim2 :premises (@p2556)) % 169.83/170.25 (step @p2558 :rule not_implies_elim2 :premises (@p2557)) % 169.83/170.25 (step @p2559 :rule not_implies_elim2 :premises (@p2558)) % 169.83/170.25 (step @p2560 :rule not_implies_elim2 :premises (@p2559)) % 169.83/170.25 (step @p2561 :rule not_implies_elim2 :premises (@p2560)) % 169.83/170.25 (step @p2562 :rule not_implies_elim2 :premises (@p2561)) % 169.83/170.25 (step @p2563 :rule not_implies_elim2 :premises (@p2562)) % 169.83/170.25 (step @p2564 :rule not_implies_elim2 :premises (@p2563)) % 169.83/170.25 (step @p2565 :rule not_implies_elim2 :premises (@p2564)) % 169.83/170.25 (step @p2566 :rule not_implies_elim2 :premises (@p2565)) % 169.83/170.25 (step @p2567 :rule not_implies_elim2 :premises (@p2566)) % 169.83/170.25 (step @p2568 :rule not_implies_elim2 :premises (@p2567)) % 169.83/170.25 (step @p2569 :rule not_implies_elim2 :premises (@p2568)) % 169.83/170.25 (step @p2570 :rule not_implies_elim2 :premises (@p2569)) % 169.83/170.25 (step @p2571 :rule not_implies_elim2 :premises (@p2570)) % 169.83/170.25 (step @p2572 :rule not_implies_elim2 :premises (@p2571)) % 169.83/170.25 (step @p2573 :rule not_implies_elim2 :premises (@p2572)) % 169.83/170.25 (step @p2574 :rule not_implies_elim2 :premises (@p2573)) % 169.83/170.25 (step @p2575 :rule not_implies_elim2 :premises (@p2574)) % 169.83/170.25 (step @p2576 :rule not_implies_elim2 :premises (@p2575)) % 169.83/170.25 (step @p2577 :rule not_implies_elim2 :premises (@p2576)) % 169.83/170.25 (step @p2578 :rule not_implies_elim2 :premises (@p2577)) % 169.83/170.25 (step @p2579 :rule not_implies_elim2 :premises (@p2578)) % 169.83/170.25 (step @p2580 :rule not_implies_elim2 :premises (@p2579)) % 169.83/170.25 (step @p2581 :rule not_implies_elim2 :premises (@p2580)) % 169.83/170.25 (step @p2582 :rule not_implies_elim2 :premises (@p2581)) % 169.83/170.25 (step @p2583 :rule skolemize :premises (@p2582)) % 169.83/170.25 (step @p2584 :rule bool-double-not-elim :args (@t1447)) % 169.83/170.25 (step @p2585 :rule refl :args (@t1452)) % 169.83/170.25 (step @p2586 :rule nary_cong :premises (@p2585 @p2584) :args ((or @t1452 (not @t1451)))) % 169.83/170.25 (step @p2587 :rule cnf_or_neg :args (@t1452 0)) % 169.83/170.25 (step @p2588 :rule eq_resolve :premises (@p2587 @p2586)) % 169.83/170.25 (step @p2589 :rule reordering :premises (@p2588) :args ((or @t1447 @t1452))) % 169.83/170.25 (step @p2590 :rule chain_m_resolution :premises (@p2589 @p2583) :args (@t1447 @t1453 @t1454)) % 169.83/170.25 (step @p2591 :rule bool-double-not-elim :args (@t1449)) % 169.83/170.25 (step @p2592 :rule nary_cong :premises (@p2585 @p2591) :args ((or @t1452 (not @t1450)))) % 169.83/170.25 (step @p2593 :rule cnf_or_neg :args (@t1452 1)) % 169.83/170.25 (step @p2594 :rule eq_resolve :premises (@p2593 @p2592)) % 169.83/170.25 (step @p2595 :rule reordering :premises (@p2594) :args ((or @t1449 @t1452))) % 169.83/170.25 (step @p2596 :rule chain_m_resolution :premises (@p2595 @p2583) :args (@t1449 @t1453 @t1454)) % 169.83/170.25 (step @p2597 :rule eq-symm :args (@t1445 @t19)) % 169.83/170.25 (step @p2598 :rule refl :args (@t1448)) % 169.83/170.25 (step @p2599 :rule nary_cong :premises (@p2598 @p2597) :args (@t1455)) % 169.83/170.25 (step @p2600 :rule cong :premises (@p2599) :args (@t1456)) % 169.83/170.25 (step @p2601 :rule cong :premises (@p2600) :args (@t1457)) % 169.83/170.25 (step @p2602 :rule refl :args (@t1459)) % 169.83/170.25 (step @p2603 :rule nary_cong :premises (@p2602 @p2601) :args (@t1460)) % 169.83/170.25 (step @p2604 :rule refl :args (@t1449)) % 169.83/170.25 (step @p2605 :rule cong :premises (@p2604 @p2603) :args ((=> @t1449 @t1460))) % 169.83/170.25 (assume-push @p2673 @t1449) % 169.83/170.25 (step @p2607 :rule instantiate :premises (@p2596) :args (@t1461)) % 169.83/170.25 (step-pop @p2674 :rule scope :premises (@p2607)) % 169.83/170.25 (step @p2608 :rule process_scope :premises (@p2674) :args (@t1460)) % 169.83/170.25 (step @p2610 :rule eq_resolve :premises (@p2608 @p2605)) % 169.83/170.25 (step @p2611 :rule implies_elim :premises (@p2610)) % 169.83/170.25 (step @p2612 :rule chain_m_resolution :premises (@p2611 @p2596) :args (@t1464 @t1465 (@list @t1449))) % 169.83/170.25 (step @p2613 :rule bool-eq-true :args (@t1458)) % 169.83/170.25 (step @p2614 :rule eq-refl :args (@t1445)) % 169.83/170.25 (step @p2615 :rule refl :args (@t1458)) % 169.83/170.25 (step @p2616 :rule cong :premises (@p2615 @p2614) :args ((= @t1458 @t1466))) % 169.83/170.25 (step @p2617 :rule trans :premises (@p2616 @p2613)) % 169.83/170.25 (step @p2618 :rule eq-symm :args (@t1466 @t1458)) % 169.83/170.25 (step @p2619 :rule trans :premises (@p2618 @p2617)) % 169.83/170.25 (step @p2620 :rule refl :args (@t1447)) % 169.83/170.25 (step @p2621 :rule cong :premises (@p2620 @p2619) :args ((=> @t1447 @t1467))) % 169.83/170.25 (assume-push @p2675 @t1447) % 169.83/170.25 (step @p2623 :rule instantiate :premises (@p2590) :args (@t1461)) % 169.83/170.25 (step-pop @p2676 :rule scope :premises (@p2623)) % 169.83/170.25 (step @p2624 :rule process_scope :premises (@p2676) :args (@t1467)) % 169.83/170.25 (step @p2626 :rule eq_resolve :premises (@p2624 @p2621)) % 169.83/170.25 (step @p2627 :rule implies_elim :premises (@p2626)) % 169.83/170.25 (step @p2628 :rule chain_m_resolution :premises (@p2627 @p2590) :args (@t1458 @t1465 (@list @t1447))) % 169.83/170.25 (step @p2629 :rule cnf_or_pos :args (@t1464)) % 169.83/170.25 (step @p2630 :rule reordering :premises (@p2629) :args ((or @t1459 @t1463 (not @t1464)))) % 169.83/170.25 (step @p2631 :rule chain_m_resolution :premises (@p2630 @p2628 @p2612) :args (@t1463 (@list false false) (@list @t1458 @t1464))) % 169.83/170.25 (step @p2632 :rule refl :args (@t1473)) % 169.83/170.25 (step @p2633 :rule bool-double-not-elim :args (@t1462)) % 169.83/170.25 (step @p2634 :rule nary_cong :premises (@p2633 @p2632) :args ((or (not @t1463) @t1473))) % 169.83/170.25 (step @p2635 :rule eq-symm :args (@t1468 @t1445)) % 169.83/170.25 (step @p2636 :rule refl :args (@t1471)) % 169.83/170.25 (step @p2637 :rule nary_cong :premises (@p2636 @p2635) :args (@t1475)) % 169.83/170.25 (step @p2638 :rule cong :premises (@p2637) :args (@t1476)) % 169.83/170.25 (step @p2639 :rule refl :args (@t1463)) % 169.83/170.25 (step @p2640 :rule cong :premises (@p2639 @p2638) :args ((=> @t1463 @t1476))) % 169.83/170.25 (assume-push @p2677 @t1463) % 169.83/170.25 (step @p2642 :rule skolemize :premises (@p2631)) % 169.83/170.25 (step-pop @p2678 :rule scope :premises (@p2642)) % 169.83/170.25 (step @p2643 :rule process_scope :premises (@p2678) :args (@t1476)) % 169.83/170.25 (step @p2645 :rule eq_resolve :premises (@p2643 @p2640)) % 169.83/170.25 (step @p2646 :rule implies_elim :premises (@p2645)) % 169.83/170.25 (step @p2647 :rule eq_resolve :premises (@p2646 @p2634)) % 169.83/170.25 (step @p2648 :rule chain_m_resolution :premises (@p2647 @p2631) :args (@t1473 @t1453 (@list @t1462))) % 169.83/170.25 (step @p2649 :rule cnf_or_neg :args (@t1472 1)) % 169.83/170.25 (step @p2650 :rule chain_m_resolution :premises (@p2649 @p2648) :args ((not @t1469) @t1453 @t1477)) % 169.83/170.25 (step @p2651 :rule bool-double-not-elim :args (@t1470)) % 169.83/170.25 (step @p2652 :rule refl :args (@t1472)) % 169.83/170.25 (step @p2653 :rule nary_cong :premises (@p2652 @p2651) :args ((or @t1472 (not @t1471)))) % 169.83/170.25 (step @p2654 :rule cnf_or_neg :args (@t1472 0)) % 169.83/170.25 (step @p2655 :rule eq_resolve :premises (@p2654 @p2653)) % 169.83/170.25 (step @p2656 :rule reordering :premises (@p2655) :args ((or @t1470 @t1472))) % 169.83/170.25 (step @p2657 :rule chain_m_resolution :premises (@p2656 @p2648) :args (@t1470 @t1453 @t1477)) % 169.83/170.25 (step @p2658 :rule cnf_equiv_pos1 :args (@t1478)) % 169.83/170.25 (step @p2659 :rule reordering :premises (@p2658) :args ((or @t1471 @t1469 @t1479))) % 169.83/170.25 (step @p2660 :rule chain_m_resolution :premises (@p2659 @p2657 @p2650) :args (@t1479 (@list false true) (@list @t1470 @t1469))) % 169.83/170.25 (step @p2661 :rule refl :args (@t1470)) % 169.83/170.25 (step @p2662 :rule cong :premises (@p2661 @p2635) :args ((= @t1470 @t1474))) % 169.83/170.25 (step @p2663 :rule eq-symm :args (@t1474 @t1470)) % 169.83/170.25 (step @p2664 :rule trans :premises (@p2663 @p2662)) % 169.83/170.25 (step @p2665 :rule cong :premises (@p2620 @p2664) :args ((=> @t1447 @t1480))) % 169.83/170.25 (assume-push @p2679 @t1447) % 169.83/170.25 (step @p2667 :rule instantiate :premises (@p2590) :args ((@list @t1468))) % 169.83/170.25 (step-pop @p2680 :rule scope :premises (@p2667)) % 169.83/170.25 (step @p2668 :rule process_scope :premises (@p2680) :args (@t1480)) % 169.83/170.25 (step @p2670 :rule eq_resolve :premises (@p2668 @p2665)) % 169.83/170.25 (step @p2671 :rule implies_elim :premises (@p2670)) % 169.83/170.25 (step @p2672 false :rule chain_m_resolution :premises (@p2671 @p2660 @p2590) :args (false (@list true false) (@list @t1478 @t1447))) % 169.83/170.25 ) % 169.83/170.25 % SZS output end Proof % 169.83/170.25 % cvc5 exiting %------------------------------------------------------------------------------