%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU579^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:52:16 AM UTC 2026 % Result : Theorem 1.11s 1.36s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU579^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n006.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:42:19 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.52 %----Proving TH0 % 1.11/1.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.11/1.36 % SZS status Theorem % 1.11/1.36 % SZS output start Proof % 1.11/1.36 ( % 1.11/1.36 (declare-sort $$unsorted 0) % 1.11/1.36 (declare-const tptp.emptyset $$unsorted) % 1.11/1.36 (declare-const tptp.setextsub Bool) % 1.11/1.36 (declare-const tptp.setadjoinSub2 Bool) % 1.11/1.36 (declare-const tptp.setadjoinSub Bool) % 1.11/1.36 (declare-const tptp.notequalI2 Bool) % 1.11/1.36 (declare-const tptp.notsubsetI Bool) % 1.11/1.36 (declare-const tptp.emptysetsubset Bool) % 1.11/1.36 (declare-const tptp.subsetI2 Bool) % 1.11/1.36 (declare-const tptp.powerset__Cong Bool) % 1.11/1.36 (declare-const tptp.setadjoin__Cong Bool) % 1.11/1.36 (declare-const tptp.emptyset__Cong Bool) % 1.11/1.36 (declare-const tptp.exu__Cong Bool) % 1.11/1.36 (declare-const tptp.in__Cong Bool) % 1.11/1.36 (declare-const tptp.inCongP Bool) % 1.11/1.36 (declare-const tptp.subsetE2 Bool) % 1.11/1.36 (declare-const tptp.exuI3 Bool) % 1.11/1.36 (declare-const tptp.subsetE Bool) % 1.11/1.36 (declare-const tptp.exuI1 Bool) % 1.11/1.36 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 1.11/1.36 (declare-const tptp.subsetI1 Bool) % 1.11/1.36 (declare-const tptp.quantDeMorgan3 Bool) % 1.11/1.36 (declare-const tptp.quantDeMorgan2 Bool) % 1.11/1.36 (declare-const tptp.dsetconstr__Cong Bool) % 1.11/1.36 (declare-const tptp.quantDeMorgan1 Bool) % 1.11/1.36 (declare-const tptp.vacuousDall Bool) % 1.11/1.36 (declare-const tptp.inPowerset Bool) % 1.11/1.36 (declare-const tptp.emptyE1 Bool) % 1.11/1.36 (declare-const tptp.powersetE1 Bool) % 1.11/1.36 (declare-const tptp.setunion__Cong Bool) % 1.11/1.36 (declare-const tptp.upairsetIR Bool) % 1.11/1.36 (declare-const tptp.notequalI1 Bool) % 1.11/1.36 (declare-const tptp.emptysetE Bool) % 1.11/1.36 (declare-const tptp.omega__Cong Bool) % 1.11/1.36 (declare-const tptp.setadjoinIL Bool) % 1.11/1.36 (declare-const tptp.prop2setE Bool) % 1.11/1.36 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 1.11/1.36 (declare-const tptp.dsetconstrI Bool) % 1.11/1.36 (declare-const tptp.setext Bool) % 1.11/1.36 (declare-const tptp.nonemptyImpWitness Bool) % 1.11/1.36 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 1.11/1.36 (declare-const tptp.wellorderingAx Bool) % 1.11/1.36 (declare-const tptp.replAx Bool) % 1.11/1.36 (declare-const tptp.upairsetE Bool) % 1.11/1.36 (declare-const tptp.dsetconstrEL Bool) % 1.11/1.36 (declare-const tptp.prop2setI Bool) % 1.11/1.36 (declare-const tptp.emptyinPowerset Bool) % 1.11/1.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.11/1.36 (declare-const tptp.setextAx Bool) % 1.11/1.36 (declare-const tptp.setadjoinOr Bool) % 1.11/1.36 (declare-const tptp.subsetTrans Bool) % 1.11/1.36 (declare-const tptp.exuE3u Bool) % 1.11/1.36 (declare-const tptp.uniqinunit Bool) % 1.11/1.36 (declare-const tptp.foundationAx Bool) % 1.11/1.36 (declare-const tptp.emptysetimpfalse Bool) % 1.11/1.36 (declare-const tptp.subsetRefl Bool) % 1.11/1.36 (declare-const tptp.notinemptyset Bool) % 1.11/1.36 (declare-const tptp.setadjoinIR Bool) % 1.11/1.36 (declare-const tptp.exuE2 Bool) % 1.11/1.36 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.36 (declare-const tptp.notdallE Bool) % 1.11/1.36 (declare-const tptp.dsetconstrER Bool) % 1.11/1.36 (declare-const tptp.eqimpsubset1 Bool) % 1.11/1.36 (declare-const tptp.emptyInPowerset Bool) % 1.11/1.36 (declare-const tptp.exuEu Bool) % 1.11/1.36 (declare-const tptp.setadjoinAx Bool) % 1.11/1.36 (declare-const tptp.subsetemptysetimpeq Bool) % 1.11/1.36 (declare-const tptp.nonemptyE1 Bool) % 1.11/1.36 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.11/1.36 (declare-const tptp.eqimpsubset2 Bool) % 1.11/1.36 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 1.11/1.36 (declare-const tptp.powersetAx Bool) % 1.11/1.36 (declare-const tptp.prop2set2propI Bool) % 1.11/1.36 (declare-const tptp.powersetE Bool) % 1.11/1.36 (declare-const tptp.omegaSAx Bool) % 1.11/1.36 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.36 (declare-const tptp.descrp Bool) % 1.11/1.36 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 1.11/1.36 (declare-const tptp.omega0Ax Bool) % 1.11/1.36 (declare-const tptp.setoftrueEq Bool) % 1.11/1.36 (declare-const tptp.setunionAx Bool) % 1.11/1.36 (declare-const tptp.omega $$unsorted) % 1.11/1.36 (declare-const tptp.omegaIndAx Bool) % 1.11/1.36 (declare-const tptp.quantDeMorgan4 Bool) % 1.11/1.36 (declare-const tptp.powersetI Bool) % 1.11/1.36 (declare-const tptp.exuE3e Bool) % 1.11/1.36 (declare-const tptp.emptyI Bool) % 1.11/1.36 (declare-const tptp.noeltsimpempty Bool) % 1.11/1.36 (declare-const tptp.eqinunit Bool) % 1.11/1.36 (declare-const tptp.powersetI1 Bool) % 1.11/1.36 (declare-const tptp.upairsetIL Bool) % 1.11/1.36 (declare-const tptp.nonemptyI Bool) % 1.11/1.36 (declare-const tptp.emptysetAx Bool) % 1.11/1.36 (declare-const tptp.nonemptyI1 Bool) % 1.11/1.36 (declare-const tptp.descr__Cong Bool) % 1.11/1.36 (declare-const tptp.emptyinunitempty Bool) % 1.11/1.36 (declare-const tptp.setadjoinE Bool) % 1.11/1.36 (declare-const tptp.notdexE Bool) % 1.11/1.36 (declare-const tptp.setunionI Bool) % 1.11/1.36 (declare-const tptp.exuE1 Bool) % 1.11/1.36 (declare-const tptp.setunionE Bool) % 1.11/1.36 (declare-const tptp.exuI2 Bool) % 1.11/1.36 (declare-const tptp.subPowSU Bool) % 1.11/1.36 (declare-const tptp.notinsingleton Bool) % 1.11/1.36 (declare-const tptp.subset2powerset Bool) % 1.11/1.36 (declare-const tptp.setbeta Bool) % 1.11/1.36 (declare-const tptp.singletonsswitch Bool) % 1.11/1.36 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 1.11/1.36 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 1.11/1.36 (define @t1 () (@var "B" $$unsorted)) % 1.11/1.36 (define @t2 () (@var "A" $$unsorted)) % 1.11/1.36 (define @t3 () (= @t2 @t1)) % 1.11/1.36 (define @t4 () (@var "Xx" $$unsorted)) % 1.11/1.36 (define @t5 () (_ tptp.in @t4)) % 1.11/1.36 (define @t6 () (_ @t5 @t1)) % 1.11/1.36 (define @t7 () (_ @t5 @t2)) % 1.11/1.36 (define @t8 () (= @t7 @t6)) % 1.11/1.36 (define @t9 () (@list @t4)) % 1.11/1.36 (define @t10 () (forall @t9 @t8)) % 1.11/1.36 (define @t11 () (=> @t10 @t3)) % 1.11/1.36 (define @t12 () (@list @t2 @t1)) % 1.11/1.36 (define @t13 () (forall @t12 @t11)) % 1.11/1.36 (define @t14 () (= tptp.setextAx @t13)) % 1.11/1.36 (define @t15 () (_ @t5 tptp.emptyset)) % 1.11/1.36 (define @t16 () (not @t15)) % 1.11/1.36 (define @t17 () (forall @t9 @t16)) % 1.11/1.36 (define @t18 () (= tptp.emptysetAx @t17)) % 1.11/1.36 (define @t19 () (@var "Xy" $$unsorted)) % 1.11/1.36 (define @t20 () (_ tptp.in @t19)) % 1.11/1.36 (define @t21 () (_ @t20 @t2)) % 1.11/1.36 (define @t22 () (= @t19 @t4)) % 1.11/1.36 (define @t23 () (or @t22 @t21)) % 1.11/1.36 (define @t24 () (_ tptp.setadjoin @t4)) % 1.11/1.36 (define @t25 () (_ @t24 @t2)) % 1.11/1.36 (define @t26 () (_ @t20 @t25)) % 1.11/1.36 (define @t27 () (= @t26 @t23)) % 1.11/1.36 (define @t28 () (@list @t4 @t2 @t19)) % 1.11/1.36 (define @t29 () (forall @t28 @t27)) % 1.11/1.36 (define @t30 () (= tptp.setadjoinAx @t29)) % 1.11/1.36 (define @t31 () (=> @t6 @t7)) % 1.11/1.36 (define @t32 () (forall @t9 @t31)) % 1.11/1.36 (define @t33 () (_ tptp.powerset @t2)) % 1.11/1.36 (define @t34 () (_ tptp.in @t1)) % 1.11/1.36 (define @t35 () (_ @t34 @t33)) % 1.11/1.36 (define @t36 () (= @t35 @t32)) % 1.11/1.36 (define @t37 () (forall @t12 @t36)) % 1.11/1.36 (define @t38 () (= tptp.powersetAx @t37)) % 1.11/1.36 (define @t39 () (_ @t34 @t2)) % 1.11/1.36 (define @t40 () (and @t6 @t39)) % 1.11/1.36 (define @t41 () (@list @t1)) % 1.11/1.36 (define @t42 () (exists @t41 @t40)) % 1.11/1.36 (define @t43 () (_ tptp.setunion @t2)) % 1.11/1.36 (define @t44 () (_ @t5 @t43)) % 1.11/1.36 (define @t45 () (= @t44 @t42)) % 1.11/1.36 (define @t46 () (@list @t2 @t4)) % 1.11/1.36 (define @t47 () (forall @t46 @t45)) % 1.11/1.36 (define @t48 () (= tptp.setunionAx @t47)) % 1.11/1.36 (define @t49 () (_ tptp.in tptp.emptyset)) % 1.11/1.36 (define @t50 () (_ @t49 tptp.omega)) % 1.11/1.36 (define @t51 () (_ @t24 @t4)) % 1.11/1.36 (define @t52 () (_ tptp.in @t51)) % 1.11/1.36 (define @t53 () (_ @t52 tptp.omega)) % 1.11/1.36 (define @t54 () (_ @t5 tptp.omega)) % 1.11/1.36 (define @t55 () (forall @t9 (=> @t54 @t53))) % 1.11/1.36 (define @t56 () (= tptp.omegaSAx @t55)) % 1.11/1.36 (define @t57 () (forall @t9 (=> @t54 @t7))) % 1.11/1.36 (define @t58 () (_ @t52 @t2)) % 1.11/1.36 (define @t59 () (and @t54 @t7)) % 1.11/1.36 (define @t60 () (forall @t9 (=> @t59 @t58))) % 1.11/1.36 (define @t61 () (_ @t49 @t2)) % 1.11/1.36 (define @t62 () (and @t61 @t60)) % 1.11/1.36 (define @t63 () (=> @t62 @t57)) % 1.11/1.36 (define @t64 () (@list @t2)) % 1.11/1.36 (define @t65 () (forall @t64 @t63)) % 1.11/1.36 (define @t66 () (= tptp.omegaIndAx @t65)) % 1.11/1.36 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 1.11/1.36 (define @t68 () (_ (_ @t67 @t19) @t4)) % 1.11/1.36 (define @t69 () (and @t21 @t68)) % 1.11/1.36 (define @t70 () (@list @t19)) % 1.11/1.36 (define @t71 () (exists @t70 @t69)) % 1.11/1.36 (define @t72 () (= @t6 @t71)) % 1.11/1.36 (define @t73 () (forall @t9 @t72)) % 1.11/1.36 (define @t74 () (exists @t41 @t73)) % 1.11/1.36 (define @t75 () (_ @t67 @t4)) % 1.11/1.36 (define @t76 () (_ @t75 @t19)) % 1.11/1.36 (define @t77 () (lambda @t70 @t76)) % 1.11/1.36 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 1.11/1.36 (define @t79 () (forall @t9 @t78)) % 1.11/1.36 (define @t80 () (=> @t79 @t74)) % 1.11/1.36 (define @t81 () (@list @t67 @t2)) % 1.11/1.36 (define @t82 () (forall @t81 @t80)) % 1.11/1.36 (define @t83 () (= tptp.replAx @t82)) % 1.11/1.36 (define @t84 () (and @t6 @t7)) % 1.11/1.36 (define @t85 () (exists @t9 @t84)) % 1.11/1.36 (define @t86 () (not @t85)) % 1.11/1.36 (define @t87 () (and @t39 @t86)) % 1.11/1.36 (define @t88 () (exists @t41 @t87)) % 1.11/1.36 (define @t89 () (exists @t9 @t7)) % 1.11/1.36 (define @t90 () (=> @t89 @t88)) % 1.11/1.36 (define @t91 () (forall @t64 @t90)) % 1.11/1.36 (define @t92 () (= tptp.foundationAx @t91)) % 1.11/1.36 (define @t93 () (@var "E" $$unsorted)) % 1.11/1.36 (define @t94 () (_ @t5 @t93)) % 1.11/1.36 (define @t95 () (@var "D" $$unsorted)) % 1.11/1.36 (define @t96 () (_ @t20 @t95)) % 1.11/1.36 (define @t97 () (_ @t20 @t93)) % 1.11/1.36 (define @t98 () (forall @t70 (=> @t97 @t96))) % 1.11/1.36 (define @t99 () (or @t98 @t94)) % 1.11/1.36 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 1.11/1.36 (define @t101 () (=> @t100 @t99)) % 1.11/1.36 (define @t102 () (@list @t93)) % 1.11/1.36 (define @t103 () (forall @t102 @t101)) % 1.11/1.36 (define @t104 () (@var "C" $$unsorted)) % 1.11/1.36 (define @t105 () (_ @t20 @t104)) % 1.11/1.36 (define @t106 () (and @t96 @t105)) % 1.11/1.36 (define @t107 () (exists @t70 @t106)) % 1.11/1.36 (define @t108 () (not @t107)) % 1.11/1.36 (define @t109 () (_ @t5 @t104)) % 1.11/1.36 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 1.11/1.36 (define @t111 () (and @t110 @t109 @t108 @t103)) % 1.11/1.36 (define @t112 () (@list @t95 @t4)) % 1.11/1.36 (define @t113 () (exists @t112 @t111)) % 1.11/1.36 (define @t114 () (exists @t9 @t109)) % 1.11/1.36 (define @t115 () (forall @t9 (=> @t109 @t7))) % 1.11/1.36 (define @t116 () (and @t115 @t114)) % 1.11/1.36 (define @t117 () (=> @t116 @t113)) % 1.11/1.36 (define @t118 () (@list @t104)) % 1.11/1.36 (define @t119 () (forall @t118 @t117)) % 1.11/1.36 (define @t120 () (_ @t5 @t95)) % 1.11/1.36 (define @t121 () (forall @t9 (=> @t120 @t109))) % 1.11/1.36 (define @t122 () (forall @t9 (=> @t109 @t120))) % 1.11/1.36 (define @t123 () (or @t122 @t121)) % 1.11/1.36 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 1.11/1.36 (define @t125 () (and @t124 @t110)) % 1.11/1.36 (define @t126 () (=> @t125 @t123)) % 1.11/1.36 (define @t127 () (@list @t104 @t95)) % 1.11/1.36 (define @t128 () (forall @t127 @t126)) % 1.11/1.36 (define @t129 () (= @t4 @t19)) % 1.11/1.36 (define @t130 () (= @t109 @t105)) % 1.11/1.36 (define @t131 () (forall @t118 (=> @t124 @t130))) % 1.11/1.36 (define @t132 () (=> @t131 @t129)) % 1.11/1.36 (define @t133 () (and @t7 @t21)) % 1.11/1.36 (define @t134 () (=> @t133 @t132)) % 1.11/1.36 (define @t135 () (@list @t4 @t19)) % 1.11/1.36 (define @t136 () (forall @t135 @t134)) % 1.11/1.36 (define @t137 () (=> @t124 @t115)) % 1.11/1.36 (define @t138 () (forall @t118 @t137)) % 1.11/1.36 (define @t139 () (and @t138 @t136 @t128 @t119)) % 1.11/1.36 (define @t140 () (exists @t41 @t139)) % 1.11/1.36 (define @t141 () (forall @t64 @t140)) % 1.11/1.36 (define @t142 () (= tptp.wellorderingAx @t141)) % 1.11/1.36 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 1.11/1.36 (define @t144 () (_ @t143 @t4)) % 1.11/1.36 (define @t145 () (lambda @t9 @t144)) % 1.11/1.36 (define @t146 () (_ tptp.descr @t145)) % 1.11/1.36 (define @t147 () (_ @t143 @t146)) % 1.11/1.36 (define @t148 () (_ tptp.exu @t145)) % 1.11/1.36 (define @t149 () (=> @t148 @t147)) % 1.11/1.36 (define @t150 () (@list @t143)) % 1.11/1.36 (define @t151 () (forall @t150 @t149)) % 1.11/1.36 (define @t152 () (= tptp.descrp @t151)) % 1.11/1.36 (define @t153 () (_ @t143 @t19)) % 1.11/1.36 (define @t154 () (lambda @t70 @t153)) % 1.11/1.36 (define @t155 () (_ tptp.dsetconstr @t2)) % 1.11/1.36 (define @t156 () (_ @t155 @t154)) % 1.11/1.36 (define @t157 () (_ @t5 @t156)) % 1.11/1.36 (define @t158 () (=> @t144 @t157)) % 1.11/1.36 (define @t159 () (@list @t2 @t143 @t4)) % 1.11/1.36 (define @t160 () (forall @t159 (=> @t7 @t158))) % 1.11/1.36 (define @t161 () (= tptp.dsetconstrI @t160)) % 1.11/1.36 (define @t162 () (forall @t159 (=> @t157 @t7))) % 1.11/1.36 (define @t163 () (= tptp.dsetconstrEL @t162)) % 1.11/1.36 (define @t164 () (forall @t159 (=> @t157 @t144))) % 1.11/1.36 (define @t165 () (= tptp.dsetconstrER @t164)) % 1.11/1.36 (define @t166 () (=> @t153 @t129)) % 1.11/1.36 (define @t167 () (forall @t70 @t166)) % 1.11/1.36 (define @t168 () (and @t144 @t167)) % 1.11/1.36 (define @t169 () (exists @t9 @t168)) % 1.11/1.36 (define @t170 () (=> @t148 @t169)) % 1.11/1.36 (define @t171 () (forall @t150 @t170)) % 1.11/1.36 (define @t172 () (= tptp.exuE1 @t171)) % 1.11/1.36 (define @t173 () (@var "Xphi" Bool)) % 1.11/1.36 (define @t174 () (_ tptp.prop2set @t173)) % 1.11/1.36 (define @t175 () (_ @t5 @t174)) % 1.11/1.36 (define @t176 () (@list @t173 @t4)) % 1.11/1.36 (define @t177 () (forall @t176 (=> @t175 @t173))) % 1.11/1.36 (define @t178 () (= tptp.prop2setE @t177)) % 1.11/1.36 (define @t179 () (@list @t173)) % 1.11/1.36 (define @t180 () (forall @t179 @t173)) % 1.11/1.36 (define @t181 () (=> @t15 @t180)) % 1.11/1.36 (define @t182 () (forall @t9 @t181)) % 1.11/1.36 (define @t183 () (= tptp.emptysetE @t182)) % 1.11/1.36 (define @t184 () (forall @t9 (=> @t15 false))) % 1.11/1.36 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 1.11/1.36 (define @t186 () (exists @t9 @t144)) % 1.11/1.36 (define @t187 () (=> @t148 @t186)) % 1.11/1.36 (define @t188 () (forall @t150 @t187)) % 1.11/1.36 (define @t189 () (= tptp.exuE3e @t188)) % 1.11/1.36 (define @t190 () (=> @t32 @t3)) % 1.11/1.36 (define @t191 () (=> @t7 @t6)) % 1.11/1.36 (define @t192 () (forall @t9 @t191)) % 1.11/1.36 (define @t193 () (=> @t192 @t190)) % 1.11/1.36 (define @t194 () (forall @t12 @t193)) % 1.11/1.36 (define @t195 () (= tptp.setext @t194)) % 1.11/1.36 (define @t196 () (= @t2 tptp.emptyset)) % 1.11/1.36 (define @t197 () (not @t7)) % 1.11/1.36 (define @t198 () (forall @t9 @t197)) % 1.11/1.36 (define @t199 () (=> @t198 @t196)) % 1.11/1.36 (define @t200 () (forall @t64 @t199)) % 1.11/1.36 (define @t201 () (= tptp.emptyI @t200)) % 1.11/1.36 (define @t202 () (=> @t7 (= @t157 @t144))) % 1.11/1.36 (define @t203 () (forall @t159 @t202)) % 1.11/1.36 (define @t204 () (= tptp.setbeta @t203)) % 1.11/1.36 (define @t205 () (_ tptp.nonempty @t2)) % 1.11/1.36 (define @t206 () (=> @t205 @t89)) % 1.11/1.36 (define @t207 () (forall @t64 @t206)) % 1.11/1.36 (define @t208 () (= tptp.nonemptyE1 @t207)) % 1.11/1.36 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 1.11/1.36 (define @t210 () (=> @t7 @t209)) % 1.11/1.36 (define @t211 () (forall @t159 @t210)) % 1.11/1.36 (define @t212 () (= tptp.nonemptyI @t211)) % 1.11/1.36 (define @t213 () (=> @t89 @t205)) % 1.11/1.36 (define @t214 () (forall @t64 @t213)) % 1.11/1.36 (define @t215 () (= tptp.nonemptyI1 @t214)) % 1.11/1.36 (define @t216 () (_ @t24 @t19)) % 1.11/1.36 (define @t217 () (_ @t5 @t216)) % 1.11/1.36 (define @t218 () (forall @t135 @t217)) % 1.11/1.36 (define @t219 () (= tptp.setadjoinIL @t218)) % 1.11/1.36 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 1.11/1.36 (define @t221 () (_ @t49 @t220)) % 1.11/1.36 (define @t222 () (forall @t28 (=> @t21 @t26))) % 1.11/1.36 (define @t223 () (= tptp.setadjoinIR @t222)) % 1.11/1.36 (define @t224 () (=> @t21 @t173)) % 1.11/1.36 (define @t225 () (=> @t224 @t173)) % 1.11/1.36 (define @t226 () (=> @t22 @t173)) % 1.11/1.36 (define @t227 () (=> @t226 @t225)) % 1.11/1.36 (define @t228 () (forall @t179 @t227)) % 1.11/1.36 (define @t229 () (=> @t26 @t228)) % 1.11/1.36 (define @t230 () (forall @t28 @t229)) % 1.11/1.36 (define @t231 () (= tptp.setadjoinE @t230)) % 1.11/1.36 (define @t232 () (=> @t26 @t23)) % 1.11/1.36 (define @t233 () (forall @t28 @t232)) % 1.11/1.36 (define @t234 () (= tptp.setadjoinOr @t233)) % 1.11/1.36 (define @t235 () (lambda @t9 true)) % 1.11/1.36 (define @t236 () (= (_ @t155 @t235) @t2)) % 1.11/1.36 (define @t237 () (forall @t64 @t236)) % 1.11/1.36 (define @t238 () (= tptp.setoftrueEq @t237)) % 1.11/1.36 (define @t239 () (=> @t32 @t35)) % 1.11/1.36 (define @t240 () (forall @t12 @t239)) % 1.11/1.36 (define @t241 () (= tptp.powersetI @t240)) % 1.11/1.36 (define @t242 () (_ @t49 @t33)) % 1.11/1.36 (define @t243 () (forall @t64 @t242)) % 1.11/1.36 (define @t244 () (= tptp.emptyinPowerset @t243)) % 1.11/1.36 (define @t245 () (@list @t2 @t1 @t4)) % 1.11/1.36 (define @t246 () (forall @t245 (=> @t35 @t31))) % 1.11/1.36 (define @t247 () (= tptp.powersetE @t246)) % 1.11/1.36 (define @t248 () (=> @t39 @t44)) % 1.11/1.36 (define @t249 () (@list @t2 @t4 @t1)) % 1.11/1.36 (define @t250 () (forall @t249 (=> @t6 @t248))) % 1.11/1.36 (define @t251 () (= tptp.setunionI @t250)) % 1.11/1.36 (define @t252 () (=> @t39 @t173)) % 1.11/1.36 (define @t253 () (forall @t41 (=> @t6 @t252))) % 1.11/1.36 (define @t254 () (=> @t253 @t173)) % 1.11/1.36 (define @t255 () (forall @t179 @t254)) % 1.11/1.36 (define @t256 () (=> @t44 @t255)) % 1.11/1.36 (define @t257 () (forall @t46 @t256)) % 1.11/1.36 (define @t258 () (= tptp.setunionE @t257)) % 1.11/1.36 (define @t259 () (_ tptp.powerset @t43)) % 1.11/1.36 (define @t260 () (_ @t5 @t259)) % 1.11/1.36 (define @t261 () (forall @t46 (=> @t7 @t260))) % 1.11/1.36 (define @t262 () (= tptp.subPowSU @t261)) % 1.11/1.36 (define @t263 () (= @t153 @t22)) % 1.11/1.36 (define @t264 () (forall @t70 @t263)) % 1.11/1.36 (define @t265 () (exists @t9 @t264)) % 1.11/1.36 (define @t266 () (=> @t148 @t265)) % 1.11/1.36 (define @t267 () (forall @t150 @t266)) % 1.11/1.36 (define @t268 () (= tptp.exuE2 @t267)) % 1.11/1.36 (define @t269 () (and @t7 true)) % 1.11/1.36 (define @t270 () (exists @t9 @t269)) % 1.11/1.36 (define @t271 () (=> @t205 @t270)) % 1.11/1.36 (define @t272 () (forall @t64 @t271)) % 1.11/1.36 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 1.11/1.36 (define @t274 () (_ tptp.setadjoin @t19)) % 1.11/1.36 (define @t275 () (_ @t274 tptp.emptyset)) % 1.11/1.36 (define @t276 () (_ @t5 @t275)) % 1.11/1.36 (define @t277 () (forall @t135 (=> @t276 @t129))) % 1.11/1.36 (define @t278 () (= tptp.uniqinunit @t277)) % 1.11/1.36 (define @t279 () (_ @t24 tptp.emptyset)) % 1.11/1.36 (define @t280 () (_ @t20 @t279)) % 1.11/1.36 (define @t281 () (not @t280)) % 1.11/1.36 (define @t282 () (not @t129)) % 1.11/1.36 (define @t283 () (forall @t135 (=> @t282 @t281))) % 1.11/1.36 (define @t284 () (= tptp.notinsingleton @t283)) % 1.11/1.36 (define @t285 () (forall @t135 (=> @t129 @t276))) % 1.11/1.36 (define @t286 () (= tptp.eqinunit @t285)) % 1.11/1.36 (define @t287 () (forall @t135 (=> @t276 @t280))) % 1.11/1.36 (define @t288 () (= tptp.singletonsswitch @t287)) % 1.11/1.36 (define @t289 () (@var "Xz" $$unsorted)) % 1.11/1.36 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 1.11/1.36 (define @t291 () (_ @t24 @t275)) % 1.11/1.36 (define @t292 () (_ tptp.in @t289)) % 1.11/1.36 (define @t293 () (_ @t292 @t291)) % 1.11/1.36 (define @t294 () (=> @t293 @t290)) % 1.11/1.36 (define @t295 () (@list @t4 @t19 @t289)) % 1.11/1.36 (define @t296 () (forall @t295 @t294)) % 1.11/1.36 (define @t297 () (= tptp.upairsetE @t296)) % 1.11/1.36 (define @t298 () (_ @t5 @t291)) % 1.11/1.36 (define @t299 () (forall @t135 @t298)) % 1.11/1.36 (define @t300 () (= tptp.upairsetIL @t299)) % 1.11/1.36 (define @t301 () (_ @t20 @t291)) % 1.11/1.36 (define @t302 () (forall @t135 @t301)) % 1.11/1.36 (define @t303 () (= tptp.upairsetIR @t302)) % 1.11/1.36 (define @t304 () (_ @t155 @t145)) % 1.11/1.36 (define @t305 () (= @t304 tptp.emptyset)) % 1.11/1.36 (define @t306 () (and @t7 @t144)) % 1.11/1.36 (define @t307 () (exists @t9 @t306)) % 1.11/1.36 (define @t308 () (=> @t307 (=> @t305 false))) % 1.11/1.36 (define @t309 () (@list @t2 @t143)) % 1.11/1.36 (define @t310 () (forall @t309 @t308)) % 1.11/1.36 (define @t311 () (= tptp.emptyE1 @t310)) % 1.11/1.36 (define @t312 () (@list @t143 @t4)) % 1.11/1.36 (define @t313 () (forall @t312 (=> @t15 @t144))) % 1.11/1.36 (define @t314 () (= tptp.vacuousDall @t313)) % 1.11/1.36 (define @t315 () (not @t144)) % 1.11/1.36 (define @t316 () (and @t7 @t315)) % 1.11/1.36 (define @t317 () (exists @t9 @t316)) % 1.11/1.36 (define @t318 () (forall @t9 (=> @t7 @t144))) % 1.11/1.36 (define @t319 () (not @t318)) % 1.11/1.36 (define @t320 () (=> @t319 @t317)) % 1.11/1.36 (define @t321 () (forall @t309 @t320)) % 1.11/1.36 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 1.11/1.36 (define @t323 () (not @t307)) % 1.11/1.36 (define @t324 () (forall @t9 (=> @t7 @t315))) % 1.11/1.36 (define @t325 () (=> @t324 @t323)) % 1.11/1.36 (define @t326 () (forall @t309 @t325)) % 1.11/1.36 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 1.11/1.36 (define @t328 () (=> @t323 @t324)) % 1.11/1.36 (define @t329 () (forall @t309 @t328)) % 1.11/1.36 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 1.11/1.36 (define @t331 () (=> @t317 @t319)) % 1.11/1.36 (define @t332 () (forall @t309 @t331)) % 1.11/1.36 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 1.11/1.36 (define @t334 () (_ @t49 @t174)) % 1.11/1.36 (define @t335 () (forall @t179 (=> @t173 @t334))) % 1.11/1.36 (define @t336 () (= tptp.prop2setI @t335)) % 1.11/1.36 (define @t337 () (_ tptp.set2prop @t174)) % 1.11/1.36 (define @t338 () (forall @t179 (=> @t173 @t337))) % 1.11/1.36 (define @t339 () (= tptp.prop2set2propI @t338)) % 1.11/1.36 (define @t340 () (=> @t169 @t148)) % 1.11/1.36 (define @t341 () (forall @t150 @t340)) % 1.11/1.36 (define @t342 () (= tptp.exuI1 @t341)) % 1.11/1.36 (define @t343 () (forall @t135 (=> @t144 @t166))) % 1.11/1.36 (define @t344 () (=> @t343 @t148)) % 1.11/1.36 (define @t345 () (=> @t186 @t344)) % 1.11/1.36 (define @t346 () (forall @t150 @t345)) % 1.11/1.36 (define @t347 () (= tptp.exuI3 @t346)) % 1.11/1.36 (define @t348 () (=> @t265 @t148)) % 1.11/1.36 (define @t349 () (forall @t150 @t348)) % 1.11/1.36 (define @t350 () (= tptp.exuI2 @t349)) % 1.11/1.36 (define @t351 () (_ @t20 @t1)) % 1.11/1.36 (define @t352 () (=> @t7 @t351)) % 1.11/1.36 (define @t353 () (forall @t135 (=> @t129 @t352))) % 1.11/1.36 (define @t354 () (=> @t3 @t353)) % 1.11/1.36 (define @t355 () (forall @t12 @t354)) % 1.11/1.36 (define @t356 () (= tptp.inCongP @t355)) % 1.11/1.36 (define @t357 () (= @t7 @t351)) % 1.11/1.36 (define @t358 () (forall @t135 (=> @t129 @t357))) % 1.11/1.36 (define @t359 () (=> @t3 @t358)) % 1.11/1.36 (define @t360 () (forall @t12 @t359)) % 1.11/1.36 (define @t361 () (= tptp.in__Cong @t360)) % 1.11/1.36 (define @t362 () (=> @t148 @t343)) % 1.11/1.36 (define @t363 () (forall @t150 @t362)) % 1.11/1.36 (define @t364 () (= tptp.exuE3u @t363)) % 1.11/1.36 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 1.11/1.36 (define @t366 () (_ @t365 @t4)) % 1.11/1.36 (define @t367 () (lambda @t9 @t366)) % 1.11/1.36 (define @t368 () (_ tptp.exu @t367)) % 1.11/1.36 (define @t369 () (= @t148 @t368)) % 1.11/1.36 (define @t370 () (_ @t365 @t19)) % 1.11/1.36 (define @t371 () (= @t144 @t370)) % 1.11/1.36 (define @t372 () (=> @t129 @t371)) % 1.11/1.36 (define @t373 () (forall @t135 @t372)) % 1.11/1.36 (define @t374 () (=> @t373 @t369)) % 1.11/1.36 (define @t375 () (@list @t143 @t365)) % 1.11/1.36 (define @t376 () (forall @t375 @t374)) % 1.11/1.36 (define @t377 () (= tptp.exu__Cong @t376)) % 1.11/1.36 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 1.11/1.36 (define @t379 () (= tptp.emptyset__Cong @t378)) % 1.11/1.36 (define @t380 () (@var "Xu" $$unsorted)) % 1.11/1.36 (define @t381 () (_ @t274 @t380)) % 1.11/1.36 (define @t382 () (_ @t24 @t289)) % 1.11/1.36 (define @t383 () (= @t382 @t381)) % 1.11/1.36 (define @t384 () (= @t289 @t380)) % 1.11/1.36 (define @t385 () (@list @t289 @t380)) % 1.11/1.36 (define @t386 () (forall @t385 (=> @t384 @t383))) % 1.11/1.36 (define @t387 () (=> @t129 @t386)) % 1.11/1.36 (define @t388 () (forall @t135 @t387)) % 1.11/1.36 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 1.11/1.36 (define @t390 () (_ tptp.powerset @t1)) % 1.11/1.36 (define @t391 () (= @t33 @t390)) % 1.11/1.36 (define @t392 () (forall @t12 (=> @t3 @t391))) % 1.11/1.36 (define @t393 () (= tptp.powerset__Cong @t392)) % 1.11/1.36 (define @t394 () (_ tptp.setunion @t1)) % 1.11/1.36 (define @t395 () (= @t43 @t394)) % 1.11/1.36 (define @t396 () (forall @t12 (=> @t3 @t395))) % 1.11/1.36 (define @t397 () (= tptp.setunion__Cong @t396)) % 1.11/1.36 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 1.11/1.36 (define @t399 () (= tptp.exuEu @t363)) % 1.11/1.36 (define @t400 () (_ tptp.descr @t367)) % 1.11/1.36 (define @t401 () (= @t146 @t400)) % 1.11/1.36 (define @t402 () (=> @t368 @t401)) % 1.11/1.36 (define @t403 () (=> @t148 @t402)) % 1.11/1.36 (define @t404 () (=> @t373 @t403)) % 1.11/1.36 (define @t405 () (forall @t375 @t404)) % 1.11/1.36 (define @t406 () (= tptp.descr__Cong @t405)) % 1.11/1.36 (define @t407 () (_ tptp.dsetconstr @t1)) % 1.11/1.36 (define @t408 () (_ @t407 @t367)) % 1.11/1.36 (define @t409 () (= @t304 @t408)) % 1.11/1.36 (define @t410 () (forall @t70 (=> @t351 @t372))) % 1.11/1.36 (define @t411 () (=> @t7 @t410)) % 1.11/1.36 (define @t412 () (forall @t9 @t411)) % 1.11/1.36 (define @t413 () (=> @t412 @t409)) % 1.11/1.36 (define @t414 () (forall @t375 @t413)) % 1.11/1.36 (define @t415 () (=> @t3 @t414)) % 1.11/1.36 (define @t416 () (forall @t12 @t415)) % 1.11/1.36 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 1.11/1.36 (define @t418 () (_ tptp.subset @t2)) % 1.11/1.36 (define @t419 () (_ @t418 @t1)) % 1.11/1.36 (define @t420 () (=> @t192 @t419)) % 1.11/1.36 (define @t421 () (forall @t12 @t420)) % 1.11/1.36 (define @t422 () (= tptp.subsetI1 @t421)) % 1.11/1.36 (define @t423 () (_ tptp.subset @t1)) % 1.11/1.36 (define @t424 () (_ @t423 @t2)) % 1.11/1.36 (define @t425 () (forall @t12 (=> @t3 @t424))) % 1.11/1.36 (define @t426 () (= tptp.eqimpsubset2 @t425)) % 1.11/1.36 (define @t427 () (forall @t12 (=> @t3 @t419))) % 1.11/1.36 (define @t428 () (= tptp.eqimpsubset1 @t427)) % 1.11/1.36 (define @t429 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 1.11/1.36 (define @t430 () (forall @t64 @t429)) % 1.11/1.36 (define @t431 () (= tptp.emptysetsubset @t430)) % 1.11/1.36 (define @t432 () (forall @t245 (=> @t419 @t191))) % 1.11/1.36 (define @t433 () (= tptp.subsetE @t432)) % 1.11/1.36 (define @t434 () (not @t6)) % 1.11/1.36 (define @t435 () (=> @t434 @t197)) % 1.11/1.36 (define @t436 () (forall @t245 (=> @t419 @t435))) % 1.11/1.36 (define @t437 () (= tptp.subsetE2 @t436)) % 1.11/1.36 (define @t438 () (not @t419)) % 1.11/1.36 (define @t439 () (=> @t434 @t438)) % 1.11/1.36 (define @t440 () (forall @t245 (=> @t7 @t439))) % 1.11/1.36 (define @t441 () (= tptp.notsubsetI @t440)) % 1.11/1.36 (define @t442 () (not @t3)) % 1.11/1.36 (define @t443 () (forall @t12 (=> @t438 @t442))) % 1.11/1.36 (define @t444 () (= tptp.notequalI1 @t443)) % 1.11/1.36 (define @t445 () (=> @t434 @t442)) % 1.11/1.36 (define @t446 () (forall @t245 (=> @t7 @t445))) % 1.11/1.36 (define @t447 () (= tptp.notequalI2 @t446)) % 1.11/1.36 (define @t448 () (_ @t418 @t2)) % 1.11/1.36 (define @t449 () (forall @t64 @t448)) % 1.11/1.36 (define @t450 () (= tptp.subsetRefl @t449)) % 1.11/1.36 (define @t451 () (_ @t418 @t104)) % 1.11/1.36 (define @t452 () (_ @t423 @t104)) % 1.11/1.36 (define @t453 () (=> @t452 @t451)) % 1.11/1.36 (define @t454 () (@list @t2 @t1 @t104)) % 1.11/1.36 (define @t455 () (forall @t454 (=> @t419 @t453))) % 1.11/1.36 (define @t456 () (= tptp.subsetTrans @t455)) % 1.11/1.36 (define @t457 () (_ @t418 @t25)) % 1.11/1.36 (define @t458 () (@list @t4 @t2)) % 1.11/1.36 (define @t459 () (forall @t458 @t457)) % 1.11/1.36 (define @t460 () (= tptp.setadjoinSub @t459)) % 1.11/1.36 (define @t461 () (_ @t24 @t1)) % 1.11/1.36 (define @t462 () (_ @t418 @t461)) % 1.11/1.36 (define @t463 () (forall @t249 (=> @t419 @t462))) % 1.11/1.36 (define @t464 () (= tptp.setadjoinSub2 @t463)) % 1.11/1.36 (define @t465 () (_ tptp.in @t2)) % 1.11/1.36 (define @t466 () (_ @t465 @t390)) % 1.11/1.36 (define @t467 () (forall @t12 (=> @t419 @t466))) % 1.11/1.36 (define @t468 () (= tptp.subset2powerset @t467)) % 1.11/1.36 (define @t469 () (=> @t424 @t3)) % 1.11/1.36 (define @t470 () (forall @t12 (=> @t419 @t469))) % 1.11/1.36 (define @t471 () (= tptp.setextsub @t470)) % 1.11/1.36 (define @t472 () (_ @t418 tptp.emptyset)) % 1.11/1.36 (define @t473 () (forall @t64 (=> @t472 @t196))) % 1.11/1.36 (define @t474 () (= tptp.subsetemptysetimpeq @t473)) % 1.11/1.36 (define @t475 () (forall @t12 (=> @t424 @t35))) % 1.11/1.36 (define @t476 () (= tptp.powersetI1 @t475)) % 1.11/1.36 (define @t477 () (forall @t12 (=> @t35 @t424))) % 1.11/1.36 (define @t478 () (= tptp.powersetE1 @t477)) % 1.11/1.36 (define @t479 () (_ @t465 @t33)) % 1.11/1.36 (define @t480 () (forall @t64 @t479)) % 1.11/1.36 (define @t481 () (= tptp.inPowerset @t480)) % 1.11/1.36 (define @t482 () (_ (_ tptp.subset @t33) @t390)) % 1.11/1.36 (define @t483 () (forall @t12 (=> @t419 @t482))) % 1.11/1.36 (define @t484 () (=> tptp.inPowerset @t483)) % 1.11/1.36 (define @t485 () (=> tptp.powersetE1 @t484)) % 1.11/1.36 (define @t486 () (=> tptp.powersetI1 @t485)) % 1.11/1.36 (define @t487 () (=> tptp.subsetemptysetimpeq @t486)) % 1.11/1.36 (define @t488 () (=> tptp.setextsub @t487)) % 1.11/1.36 (define @t489 () (=> tptp.subset2powerset @t488)) % 1.11/1.36 (define @t490 () (=> tptp.setadjoinSub2 @t489)) % 1.11/1.36 (define @t491 () (=> tptp.setadjoinSub @t490)) % 1.11/1.36 (define @t492 () (=> tptp.subsetTrans @t491)) % 1.11/1.36 (define @t493 () (=> tptp.subsetRefl @t492)) % 1.11/1.36 (define @t494 () (=> tptp.notequalI2 @t493)) % 1.11/1.36 (define @t495 () (=> tptp.notequalI1 @t494)) % 1.11/1.36 (define @t496 () (=> tptp.notsubsetI @t495)) % 1.11/1.36 (define @t497 () (=> tptp.subsetE2 @t496)) % 1.11/1.36 (define @t498 () (=> tptp.subsetE @t497)) % 1.11/1.36 (define @t499 () (=> tptp.emptysetsubset @t498)) % 1.11/1.36 (define @t500 () (=> tptp.subsetI2 @t499)) % 1.11/1.36 (define @t501 () (=> tptp.eqimpsubset1 @t500)) % 1.11/1.36 (define @t502 () (=> tptp.eqimpsubset2 @t501)) % 1.11/1.36 (define @t503 () (=> tptp.subsetI1 @t502)) % 1.11/1.36 (define @t504 () (=> tptp.dsetconstr__Cong @t503)) % 1.11/1.36 (define @t505 () (=> tptp.descr__Cong @t504)) % 1.11/1.36 (define @t506 () (=> tptp.exuEu @t505)) % 1.11/1.36 (define @t507 () (=> tptp.omega__Cong @t506)) % 1.11/1.36 (define @t508 () (=> tptp.setunion__Cong @t507)) % 1.11/1.36 (define @t509 () (=> tptp.powerset__Cong @t508)) % 1.11/1.36 (define @t510 () (=> tptp.setadjoin__Cong @t509)) % 1.11/1.36 (define @t511 () (=> tptp.emptyset__Cong @t510)) % 1.11/1.36 (define @t512 () (=> tptp.exu__Cong @t511)) % 1.11/1.36 (define @t513 () (=> tptp.exuE3u @t512)) % 1.11/1.36 (define @t514 () (=> tptp.in__Cong @t513)) % 1.11/1.36 (define @t515 () (=> tptp.inCongP @t514)) % 1.11/1.36 (define @t516 () (=> tptp.exuI2 @t515)) % 1.11/1.36 (define @t517 () (=> tptp.exuI3 @t516)) % 1.11/1.36 (define @t518 () (=> tptp.exuI1 @t517)) % 1.11/1.36 (define @t519 () (=> tptp.notdallE @t518)) % 1.11/1.36 (define @t520 () (=> tptp.notdexE @t519)) % 1.11/1.36 (define @t521 () (=> tptp.prop2set2propI @t520)) % 1.11/1.36 (define @t522 () (=> tptp.prop2setI @t521)) % 1.11/1.36 (define @t523 () (=> tptp.quantDeMorgan4 @t522)) % 1.11/1.36 (define @t524 () (=> tptp.quantDeMorgan3 @t523)) % 1.11/1.36 (define @t525 () (=> tptp.quantDeMorgan2 @t524)) % 1.11/1.36 (define @t526 () (=> tptp.quantDeMorgan1 @t525)) % 1.11/1.36 (define @t527 () (=> tptp.vacuousDall @t526)) % 1.11/1.36 (define @t528 () (=> tptp.emptyE1 @t527)) % 1.11/1.36 (define @t529 () (=> tptp.upairsetIR @t528)) % 1.11/1.36 (define @t530 () (=> tptp.upairsetIL @t529)) % 1.11/1.36 (define @t531 () (=> tptp.upairsetE @t530)) % 1.11/1.36 (define @t532 () (=> tptp.singletonsswitch @t531)) % 1.11/1.36 (define @t533 () (=> tptp.eqinunit @t532)) % 1.11/1.36 (define @t534 () (=> tptp.notinsingleton @t533)) % 1.11/1.36 (define @t535 () (=> tptp.uniqinunit @t534)) % 1.11/1.36 (define @t536 () (=> tptp.nonemptyImpWitness @t535)) % 1.11/1.36 (define @t537 () (=> tptp.exuE2 @t536)) % 1.11/1.36 (define @t538 () (=> tptp.subPowSU @t537)) % 1.11/1.36 (define @t539 () (=> tptp.setunionE @t538)) % 1.11/1.36 (define @t540 () (=> tptp.setunionI @t539)) % 1.11/1.36 (define @t541 () (=> tptp.powersetE @t540)) % 1.11/1.36 (define @t542 () (=> tptp.emptyInPowerset @t541)) % 1.11/1.36 (define @t543 () (=> tptp.emptyinPowerset @t542)) % 1.11/1.36 (define @t544 () (=> tptp.powersetI @t543)) % 1.11/1.36 (define @t545 () (=> tptp.setoftrueEq @t544)) % 1.11/1.36 (define @t546 () (=> tptp.setadjoinOr @t545)) % 1.11/1.36 (define @t547 () (=> tptp.setadjoinE @t546)) % 1.11/1.36 (define @t548 () (=> tptp.setadjoinIR @t547)) % 1.11/1.36 (define @t549 () (=> tptp.emptyinunitempty @t548)) % 1.11/1.36 (define @t550 () (=> tptp.setadjoinIL @t549)) % 1.11/1.36 (define @t551 () (=> tptp.nonemptyI1 @t550)) % 1.11/1.36 (define @t552 () (=> tptp.nonemptyI @t551)) % 1.11/1.36 (define @t553 () (=> tptp.nonemptyE1 @t552)) % 1.11/1.36 (define @t554 () (=> tptp.setbeta @t553)) % 1.11/1.36 (define @t555 () (=> tptp.noeltsimpempty @t554)) % 1.11/1.36 (define @t556 () (=> tptp.emptyI @t555)) % 1.11/1.36 (define @t557 () (=> tptp.setext @t556)) % 1.11/1.36 (define @t558 () (=> tptp.exuE3e @t557)) % 1.11/1.36 (define @t559 () (=> tptp.notinemptyset @t558)) % 1.11/1.36 (define @t560 () (=> tptp.emptysetimpfalse @t559)) % 1.11/1.36 (define @t561 () (=> tptp.emptysetE @t560)) % 1.11/1.36 (define @t562 () (=> tptp.prop2setE @t561)) % 1.11/1.36 (define @t563 () (=> tptp.exuE1 @t562)) % 1.11/1.36 (define @t564 () (=> tptp.dsetconstrER @t563)) % 1.11/1.36 (define @t565 () (=> tptp.dsetconstrEL @t564)) % 1.11/1.36 (define @t566 () (=> tptp.dsetconstrI @t565)) % 1.11/1.36 (define @t567 () (=> tptp.descrp @t566)) % 1.11/1.36 (define @t568 () (=> tptp.wellorderingAx @t567)) % 1.11/1.36 (define @t569 () (=> tptp.foundationAx @t568)) % 1.11/1.36 (define @t570 () (=> tptp.replAx @t569)) % 1.11/1.36 (define @t571 () (=> tptp.omegaIndAx @t570)) % 1.11/1.36 (define @t572 () (=> tptp.omegaSAx @t571)) % 1.11/1.36 (define @t573 () (=> tptp.omega0Ax @t572)) % 1.11/1.36 (define @t574 () (=> tptp.setunionAx @t573)) % 1.11/1.36 (define @t575 () (=> tptp.powersetAx @t574)) % 1.11/1.36 (define @t576 () (=> tptp.setadjoinAx @t575)) % 1.11/1.36 (define @t577 () (=> tptp.emptysetAx @t576)) % 1.11/1.36 (define @t578 () (=> tptp.setextAx @t577)) % 1.11/1.36 (define @t579 () (not @t578)) % 1.11/1.36 (define @t580 () (lambda @t150 @t169)) % 1.11/1.36 (define @t581 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 1.11/1.36 (define @t582 () (tptp.powerset @t1)) % 1.11/1.36 (define @t583 () (tptp.powerset @t2)) % 1.11/1.36 (define @t584 () (tptp.subset @t583 @t582)) % 1.11/1.36 (define @t585 () (tptp.subset @t2 @t1)) % 1.11/1.36 (define @t586 () (not @t585)) % 1.11/1.36 (define @t587 () (forall @t12 (or @t586 @t584))) % 1.11/1.36 (define @t588 () (tptp.in @t2 @t583)) % 1.11/1.36 (define @t589 () (tptp.subset @t1 @t2)) % 1.11/1.36 (define @t590 () (tptp.in @t1 @t583)) % 1.11/1.36 (define @t591 () (not @t590)) % 1.11/1.36 (define @t592 () (not @t589)) % 1.11/1.36 (define @t593 () (tptp.subset @t2 tptp.emptyset)) % 1.11/1.36 (define @t594 () (tptp.in @t2 @t582)) % 1.11/1.36 (define @t595 () (tptp.setadjoin @t4 @t1)) % 1.11/1.36 (define @t596 () (tptp.subset @t2 @t595)) % 1.11/1.36 (define @t597 () (tptp.setadjoin @t4 @t2)) % 1.11/1.36 (define @t598 () (tptp.subset @t2 @t597)) % 1.11/1.36 (define @t599 () (tptp.subset @t2 @t104)) % 1.11/1.36 (define @t600 () (tptp.subset @t1 @t104)) % 1.11/1.36 (define @t601 () (forall @t454 (or @t586 (not @t600) @t599))) % 1.11/1.36 (define @t602 () (tptp.subset @t2 @t2)) % 1.11/1.36 (define @t603 () (=> (forall @t64 @t602) (=> @t601 (=> (forall @t458 @t598) (=> (forall @t249 (or @t586 @t596)) (=> (forall @t12 (or @t586 @t594)) (=> (forall @t12 (or @t586 @t592 @t3)) (=> (forall @t64 (or (not @t593) @t196)) (=> (forall @t12 (or @t592 @t590)) (=> (forall @t12 (or @t591 @t589)) (=> (forall @t64 @t588) @t587))))))))))) % 1.11/1.36 (define @t604 () (tptp.subset @t1 @t1)) % 1.11/1.36 (define @t605 () (forall @t41 @t604)) % 1.11/1.36 (define @t606 () (tptp.in @t4 @t1)) % 1.11/1.36 (define @t607 () (tptp.in @t4 @t2)) % 1.11/1.36 (define @t608 () (not @t607)) % 1.11/1.36 (define @t609 () (forall @t245 (or @t608 @t606 @t586))) % 1.11/1.36 (define @t610 () (forall @t245 (or @t586 @t606 @t608))) % 1.11/1.36 (define @t611 () (forall @t245 (or @t586 @t608 @t606))) % 1.11/1.36 (define @t612 () (tptp.subset tptp.emptyset @t2)) % 1.11/1.36 (define @t613 () (forall @t64 @t612)) % 1.11/1.36 (define @t614 () (forall @t9 (or @t608 @t606))) % 1.11/1.36 (define @t615 () (not @t614)) % 1.11/1.36 (define @t616 () (forall @t12 (or @t615 @t585))) % 1.11/1.36 (define @t617 () (@var "BOUND_VARIABLE_9575" (-> $$unsorted Bool))) % 1.11/1.36 (define @t618 () (tptp.dsetconstr @t1 @t617)) % 1.11/1.36 (define @t619 () (@var "BOUND_VARIABLE_9577" (-> $$unsorted Bool))) % 1.11/1.36 (define @t620 () (tptp.dsetconstr @t1 @t619)) % 1.11/1.36 (define @t621 () (= @t620 @t618)) % 1.11/1.36 (define @t622 () (= (_ @t617 @t4) (_ @t619 @t4))) % 1.11/1.36 (define @t623 () (not @t606)) % 1.11/1.36 (define @t624 () (or @t623 @t622)) % 1.11/1.36 (define @t625 () (not (forall @t9 @t624))) % 1.11/1.36 (define @t626 () (or @t625 @t621)) % 1.11/1.36 (define @t627 () (@list @t1 @t617 @t619)) % 1.11/1.36 (define @t628 () (forall @t627 @t626)) % 1.11/1.36 (define @t629 () (@var "BOUND_VARIABLE_9514" $$unsorted)) % 1.11/1.36 (define @t630 () (_ @t365 @t19)) % 1.11/1.36 (define @t631 () (not @t630)) % 1.11/1.36 (define @t632 () (not (_ @t365 @t629))) % 1.11/1.36 (define @t633 () (@var "BOUND_VARIABLE_9505" $$unsorted)) % 1.11/1.36 (define @t634 () (_ @t143 @t19)) % 1.11/1.36 (define @t635 () (not @t634)) % 1.11/1.36 (define @t636 () (not (_ @t143 @t633))) % 1.11/1.36 (define @t637 () (tptp.descr @t143)) % 1.11/1.36 (define @t638 () (= @t637 (tptp.descr @t365))) % 1.11/1.36 (define @t639 () (= @t634 @t630)) % 1.11/1.36 (define @t640 () (forall @t70 @t639)) % 1.11/1.36 (define @t641 () (not @t640)) % 1.11/1.36 (define @t642 () (@list @t143 @t365 @t633 @t629)) % 1.11/1.36 (define @t643 () (forall @t642 (or @t641 @t638 @t636 (not (forall @t70 (or @t635 (= @t19 @t633)))) @t632 (not (forall @t70 (or @t631 (= @t19 @t629))))))) % 1.11/1.36 (define @t644 () (@var "BOUND_VARIABLE_9346" $$unsorted)) % 1.11/1.36 (define @t645 () (@var "BOUND_VARIABLE_9344" $$unsorted)) % 1.11/1.36 (define @t646 () (= @t645 @t644)) % 1.11/1.36 (define @t647 () (not (_ @t143 @t644))) % 1.11/1.36 (define @t648 () (not (_ @t143 @t645))) % 1.11/1.36 (define @t649 () (@var "BOUND_VARIABLE_9335" $$unsorted)) % 1.11/1.36 (define @t650 () (not (_ @t143 @t649))) % 1.11/1.36 (define @t651 () (@list @t143 @t649 @t645 @t644)) % 1.11/1.36 (define @t652 () (forall @t651 (or @t650 (not (forall @t70 (or @t635 (= @t19 @t649)))) @t648 @t647 @t646))) % 1.11/1.36 (define @t653 () (not (forall @t70 (or @t631 @t129)))) % 1.11/1.36 (define @t654 () (_ @t365 @t4)) % 1.11/1.36 (define @t655 () (forall @t9 (or (not @t654) @t653))) % 1.11/1.36 (define @t656 () (not @t655)) % 1.11/1.36 (define @t657 () (forall @t70 (or @t635 @t129))) % 1.11/1.36 (define @t658 () (not @t657)) % 1.11/1.36 (define @t659 () (_ @t143 @t4)) % 1.11/1.36 (define @t660 () (not @t659)) % 1.11/1.36 (define @t661 () (forall @t9 (or @t660 @t658))) % 1.11/1.36 (define @t662 () (not @t661)) % 1.11/1.36 (define @t663 () (= @t662 @t656)) % 1.11/1.36 (define @t664 () (forall @t375 (or @t641 @t663))) % 1.11/1.36 (define @t665 () (@var "BOUND_VARIABLE_9242" $$unsorted)) % 1.11/1.36 (define @t666 () (@list @t143 @t665)) % 1.11/1.36 (define @t667 () (forall @t666 (or (not (forall @t70 (= @t634 (= @t19 @t665)))) @t662))) % 1.11/1.36 (define @t668 () (forall @t135 (or @t660 @t635 @t129))) % 1.11/1.36 (define @t669 () (not @t668)) % 1.11/1.36 (define @t670 () (@var "BOUND_VARIABLE_9226" $$unsorted)) % 1.11/1.36 (define @t671 () (not (_ @t143 @t670))) % 1.11/1.36 (define @t672 () (or @t671 @t669 @t662)) % 1.11/1.36 (define @t673 () (forall (@list @t143 @t670) @t672)) % 1.11/1.36 (define @t674 () (=> @t673 (=> @t667 (=> @t652 (=> @t664 (=> @t652 (=> @t643 (=> @t628 (=> @t616 (=> @t605 (=> @t605 (=> @t616 (=> @t613 (=> @t611 (=> @t610 (=> @t609 (=> @t605 @t603))))))))))))))))) % 1.11/1.36 (define @t675 () (tptp.prop2set true)) % 1.11/1.36 (define @t676 () (tptp.set2prop @t675)) % 1.11/1.36 (define @t677 () (=> @t676 @t674)) % 1.11/1.36 (define @t678 () (tptp.in tptp.emptyset @t675)) % 1.11/1.36 (define @t679 () (=> @t678 @t677)) % 1.11/1.36 (define @t680 () (tptp.in @t4 tptp.emptyset)) % 1.11/1.36 (define @t681 () (not @t680)) % 1.11/1.36 (define @t682 () (forall @t312 (or @t681 @t659))) % 1.11/1.36 (define @t683 () (=> @t682 @t679)) % 1.11/1.36 (define @t684 () (@var "BOUND_VARIABLE_9135" $$unsorted)) % 1.11/1.36 (define @t685 () (not (_ @t143 @t684))) % 1.11/1.36 (define @t686 () (not (tptp.in @t684 @t2))) % 1.11/1.36 (define @t687 () (tptp.dsetconstr @t2 @t143)) % 1.11/1.36 (define @t688 () (not (= tptp.emptyset @t687))) % 1.11/1.36 (define @t689 () (or @t688 @t686 @t685)) % 1.11/1.36 (define @t690 () (@list @t2 @t143 @t684)) % 1.11/1.36 (define @t691 () (forall @t690 @t689)) % 1.11/1.36 (define @t692 () (=> @t691 @t683)) % 1.11/1.36 (define @t693 () (tptp.setadjoin @t19 tptp.emptyset)) % 1.11/1.36 (define @t694 () (tptp.setadjoin @t4 @t693)) % 1.11/1.36 (define @t695 () (tptp.in @t19 @t694)) % 1.11/1.36 (define @t696 () (forall @t135 @t695)) % 1.11/1.36 (define @t697 () (=> @t696 @t692)) % 1.11/1.36 (define @t698 () (tptp.in @t4 @t694)) % 1.11/1.36 (define @t699 () (forall @t135 @t698)) % 1.11/1.36 (define @t700 () (=> @t699 @t697)) % 1.11/1.36 (define @t701 () (= @t19 @t289)) % 1.11/1.36 (define @t702 () (= @t4 @t289)) % 1.11/1.36 (define @t703 () (tptp.in @t289 @t694)) % 1.11/1.36 (define @t704 () (forall @t295 (or (not @t703) @t702 @t701))) % 1.11/1.36 (define @t705 () (=> @t704 @t700)) % 1.11/1.36 (define @t706 () (tptp.setadjoin @t4 tptp.emptyset)) % 1.11/1.36 (define @t707 () (tptp.in @t19 @t706)) % 1.11/1.36 (define @t708 () (tptp.in @t4 @t693)) % 1.11/1.36 (define @t709 () (not @t708)) % 1.11/1.36 (define @t710 () (forall @t135 (or @t709 @t707))) % 1.11/1.36 (define @t711 () (=> @t710 @t705)) % 1.11/1.36 (define @t712 () (tptp.in @t19 @t693)) % 1.11/1.36 (define @t713 () (forall @t70 @t712)) % 1.11/1.36 (define @t714 () (=> @t713 @t711)) % 1.11/1.36 (define @t715 () (forall @t135 (or @t129 (not @t707)))) % 1.11/1.36 (define @t716 () (=> @t715 @t714)) % 1.11/1.36 (define @t717 () (forall @t135 (or @t709 @t129))) % 1.11/1.36 (define @t718 () (=> @t717 @t716)) % 1.11/1.36 (define @t719 () (forall @t9 @t608)) % 1.11/1.36 (define @t720 () (not @t719)) % 1.11/1.36 (define @t721 () (forall @t64 (or @t196 @t720))) % 1.11/1.36 (define @t722 () (=> @t721 @t718)) % 1.11/1.36 (define @t723 () (@var "BOUND_VARIABLE_9019" $$unsorted)) % 1.11/1.36 (define @t724 () (not (_ @t143 @t723))) % 1.11/1.36 (define @t725 () (forall @t70 (= @t129 @t634))) % 1.11/1.36 (define @t726 () (forall @t9 (not @t725))) % 1.11/1.36 (define @t727 () (not @t726)) % 1.11/1.36 (define @t728 () (@list @t143 @t723)) % 1.11/1.36 (define @t729 () (forall @t728 (or @t727 @t724 (not (forall @t70 (or @t635 (= @t19 @t723))))))) % 1.11/1.36 (define @t730 () (=> @t729 @t722)) % 1.11/1.36 (define @t731 () (tptp.setunion @t2)) % 1.11/1.36 (define @t732 () (tptp.powerset @t731)) % 1.11/1.36 (define @t733 () (tptp.in @t4 @t732)) % 1.11/1.36 (define @t734 () (forall @t46 (or @t608 @t733))) % 1.11/1.36 (define @t735 () (=> @t734 @t730)) % 1.11/1.36 (define @t736 () (tptp.in @t1 @t2)) % 1.11/1.36 (define @t737 () (not @t736)) % 1.11/1.36 (define @t738 () (forall @t41 (or @t623 @t737))) % 1.11/1.36 (define @t739 () (not @t738)) % 1.11/1.36 (define @t740 () (tptp.in @t4 @t731)) % 1.11/1.36 (define @t741 () (forall @t46 (or (not @t740) @t739))) % 1.11/1.36 (define @t742 () (=> @t741 @t735)) % 1.11/1.36 (define @t743 () (forall @t249 (or @t623 @t737 @t740))) % 1.11/1.36 (define @t744 () (=> @t743 @t742)) % 1.11/1.36 (define @t745 () (forall @t245 (or @t591 @t623 @t607))) % 1.11/1.36 (define @t746 () (=> @t745 @t744)) % 1.11/1.36 (define @t747 () (tptp.in tptp.emptyset @t583)) % 1.11/1.36 (define @t748 () (forall @t64 @t747)) % 1.11/1.36 (define @t749 () (=> @t748 @t746)) % 1.11/1.36 (define @t750 () (=> @t748 @t749)) % 1.11/1.36 (define @t751 () (forall @t9 (or @t623 @t607))) % 1.11/1.36 (define @t752 () (not @t751)) % 1.11/1.36 (define @t753 () (forall @t12 (or @t752 @t590))) % 1.11/1.36 (define @t754 () (=> @t753 @t750)) % 1.11/1.36 (define @t755 () (@var "BOUND_VARIABLE_35739" $$unsorted)) % 1.11/1.36 (define @t756 () (lambda (@list @t755) true)) % 1.11/1.36 (define @t757 () (tptp.dsetconstr @t2 @t756)) % 1.11/1.36 (define @t758 () (forall @t64 (= @t2 @t757))) % 1.11/1.36 (define @t759 () (=> @t758 @t754)) % 1.11/1.36 (define @t760 () (tptp.in @t19 @t2)) % 1.11/1.36 (define @t761 () (tptp.in @t19 @t597)) % 1.11/1.36 (define @t762 () (forall @t28 (or (not @t761) @t129 @t760))) % 1.11/1.36 (define @t763 () (=> @t762 @t759)) % 1.11/1.36 (define @t764 () (=> @t762 @t763)) % 1.11/1.36 (define @t765 () (not @t760)) % 1.11/1.36 (define @t766 () (forall @t28 (or @t765 @t761))) % 1.11/1.36 (define @t767 () (=> @t766 @t764)) % 1.11/1.36 (define @t768 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 1.11/1.36 (define @t769 () (tptp.in tptp.emptyset @t768)) % 1.11/1.36 (define @t770 () (=> @t221 @t767)) % 1.11/1.36 (define @t771 () (tptp.setadjoin @t4 @t19)) % 1.11/1.36 (define @t772 () (tptp.in @t4 @t771)) % 1.11/1.36 (define @t773 () (forall @t135 @t772)) % 1.11/1.36 (define @t774 () (=> @t773 @t770)) % 1.11/1.36 (define @t775 () (@var "BOUND_VARIABLE_8860" $$unsorted)) % 1.11/1.36 (define @t776 () (not (tptp.in @t775 tptp.emptyset))) % 1.11/1.36 (define @t777 () (@list @t775)) % 1.11/1.36 (define @t778 () (forall @t777 @t776)) % 1.11/1.36 (define @t779 () (=> @t778 @t774)) % 1.11/1.36 (define @t780 () (forall @t159 (or @t608 @t660 @t688))) % 1.11/1.36 (define @t781 () (=> @t780 @t779)) % 1.11/1.36 (define @t782 () (=> @t721 @t781)) % 1.11/1.36 (define @t783 () (tptp.in @t4 @t687)) % 1.11/1.36 (define @t784 () (forall @t159 (or @t608 (= @t659 @t783)))) % 1.11/1.36 (define @t785 () (=> @t784 @t782)) % 1.11/1.36 (define @t786 () (forall @t64 (or @t720 @t196))) % 1.11/1.36 (define @t787 () (=> @t786 @t785)) % 1.11/1.36 (define @t788 () (=> @t786 @t787)) % 1.11/1.36 (define @t789 () (or @t615 @t752 @t3)) % 1.11/1.36 (define @t790 () (forall @t12 @t789)) % 1.11/1.36 (define @t791 () (=> @t790 @t788)) % 1.11/1.36 (define @t792 () (@var "BOUND_VARIABLE_8757" $$unsorted)) % 1.11/1.36 (define @t793 () (not (_ @t143 @t792))) % 1.11/1.36 (define @t794 () (forall @t9 @t660)) % 1.11/1.36 (define @t795 () (not @t794)) % 1.11/1.36 (define @t796 () (@list @t143 @t792)) % 1.11/1.36 (define @t797 () (forall @t796 (or @t795 @t793 (not (forall @t70 (or @t635 (= @t19 @t792))))))) % 1.11/1.36 (define @t798 () (=> @t797 @t791)) % 1.11/1.36 (define @t799 () (forall @t9 @t681)) % 1.11/1.36 (define @t800 () (=> @t799 @t798)) % 1.11/1.36 (define @t801 () (=> @t799 @t800)) % 1.11/1.36 (define @t802 () (=> @t799 @t801)) % 1.11/1.36 (define @t803 () (not (tptp.in @t4 (tptp.prop2set false)))) % 1.11/1.36 (define @t804 () (forall @t9 @t803)) % 1.11/1.36 (define @t805 () (=> @t804 @t802)) % 1.11/1.36 (define @t806 () (not @t783)) % 1.11/1.36 (define @t807 () (forall @t159 (or @t806 @t659))) % 1.11/1.36 (define @t808 () (=> @t807 @t805)) % 1.11/1.36 (define @t809 () (forall @t159 (or @t806 @t607))) % 1.11/1.36 (define @t810 () (=> @t809 @t808)) % 1.11/1.36 (define @t811 () (forall @t159 (or @t608 @t660 @t783))) % 1.11/1.36 (define @t812 () (=> @t811 @t810)) % 1.11/1.36 (define @t813 () (@var "BOUND_VARIABLE_8656" $$unsorted)) % 1.11/1.36 (define @t814 () (not (_ @t143 @t813))) % 1.11/1.36 (define @t815 () (_ @t143 @t637)) % 1.11/1.36 (define @t816 () (@list @t143 @t813)) % 1.11/1.36 (define @t817 () (forall @t816 (or @t815 @t814 (not (forall @t70 (or @t635 (= @t19 @t813))))))) % 1.11/1.36 (define @t818 () (=> @t817 @t812)) % 1.11/1.36 (define @t819 () (@var "BOUND_VARIABLE_8576" $$unsorted)) % 1.11/1.36 (define @t820 () (tptp.in @t819 @t95)) % 1.11/1.36 (define @t821 () (not (tptp.in @t819 @t93))) % 1.11/1.36 (define @t822 () (tptp.in @t4 @t93)) % 1.11/1.36 (define @t823 () (tptp.in @t93 @t1)) % 1.11/1.36 (define @t824 () (not @t823)) % 1.11/1.36 (define @t825 () (or @t824 @t822 @t821 @t820)) % 1.11/1.36 (define @t826 () (@list @t93 @t819)) % 1.11/1.36 (define @t827 () (forall @t826 @t825)) % 1.11/1.36 (define @t828 () (not @t827)) % 1.11/1.36 (define @t829 () (tptp.in @t19 @t104)) % 1.11/1.36 (define @t830 () (tptp.in @t19 @t95)) % 1.11/1.36 (define @t831 () (forall @t70 (or (not @t830) (not @t829)))) % 1.11/1.36 (define @t832 () (not @t831)) % 1.11/1.36 (define @t833 () (tptp.in @t4 @t104)) % 1.11/1.36 (define @t834 () (not @t833)) % 1.11/1.36 (define @t835 () (tptp.in @t95 @t1)) % 1.11/1.36 (define @t836 () (not @t835)) % 1.11/1.36 (define @t837 () (not (forall @t112 (or @t836 @t834 @t832 @t828)))) % 1.11/1.36 (define @t838 () (@var "BOUND_VARIABLE_8605" $$unsorted)) % 1.11/1.36 (define @t839 () (not (tptp.in @t838 @t104))) % 1.11/1.36 (define @t840 () (forall @t9 (or @t834 @t607))) % 1.11/1.36 (define @t841 () (not @t840)) % 1.11/1.36 (define @t842 () (or @t841 @t839 @t837)) % 1.11/1.36 (define @t843 () (forall (@list @t104 @t838) @t842)) % 1.11/1.36 (define @t844 () (not @t843)) % 1.11/1.36 (define @t845 () (@var "BOUND_VARIABLE_8528" $$unsorted)) % 1.11/1.36 (define @t846 () (tptp.in @t845 @t104)) % 1.11/1.36 (define @t847 () (not (tptp.in @t845 @t95))) % 1.11/1.36 (define @t848 () (@var "BOUND_VARIABLE_8522" $$unsorted)) % 1.11/1.36 (define @t849 () (tptp.in @t848 @t95)) % 1.11/1.36 (define @t850 () (not (tptp.in @t848 @t104))) % 1.11/1.36 (define @t851 () (tptp.in @t104 @t1)) % 1.11/1.36 (define @t852 () (not @t851)) % 1.11/1.36 (define @t853 () (or @t852 @t836 @t850 @t849 @t847 @t846)) % 1.11/1.36 (define @t854 () (@list @t104 @t95 @t848 @t845)) % 1.11/1.36 (define @t855 () (forall @t854 @t853)) % 1.11/1.36 (define @t856 () (not @t855)) % 1.11/1.36 (define @t857 () (forall @t118 (or @t852 (= @t833 @t829)))) % 1.11/1.36 (define @t858 () (not @t857)) % 1.11/1.36 (define @t859 () (forall @t135 (or @t608 @t765 @t858 @t129))) % 1.11/1.36 (define @t860 () (not @t859)) % 1.11/1.36 (define @t861 () (@var "BOUND_VARIABLE_8471" $$unsorted)) % 1.11/1.36 (define @t862 () (tptp.in @t861 @t2)) % 1.11/1.36 (define @t863 () (not (tptp.in @t861 @t104))) % 1.11/1.36 (define @t864 () (or @t852 @t863 @t862)) % 1.11/1.36 (define @t865 () (@list @t104 @t861)) % 1.11/1.36 (define @t866 () (forall @t865 @t864)) % 1.11/1.36 (define @t867 () (not @t866)) % 1.11/1.36 (define @t868 () (or @t867 @t860 @t856 @t844)) % 1.11/1.36 (define @t869 () (forall @t64 (not (forall @t41 @t868)))) % 1.11/1.36 (define @t870 () (=> @t869 @t818)) % 1.11/1.36 (define @t871 () (forall @t9 (or @t623 @t608))) % 1.11/1.36 (define @t872 () (not @t871)) % 1.11/1.36 (define @t873 () (not (forall @t41 (or @t737 @t872)))) % 1.11/1.36 (define @t874 () (@var "BOUND_VARIABLE_8446" $$unsorted)) % 1.11/1.36 (define @t875 () (not (tptp.in @t874 @t2))) % 1.11/1.36 (define @t876 () (or @t875 @t873)) % 1.11/1.36 (define @t877 () (forall (@list @t2 @t874) @t876)) % 1.11/1.36 (define @t878 () (=> @t877 @t870)) % 1.11/1.36 (define @t879 () (_ @t67 @t19 @t4)) % 1.11/1.36 (define @t880 () (not (forall @t70 (or @t765 (not @t879))))) % 1.11/1.36 (define @t881 () (forall @t9 (= @t606 @t880))) % 1.11/1.36 (define @t882 () (not (forall @t41 (not @t881)))) % 1.11/1.36 (define @t883 () (@var "BOUND_VARIABLE_8336" $$unsorted)) % 1.11/1.36 (define @t884 () (= @t19 @t883)) % 1.11/1.36 (define @t885 () (_ @t67 @t4 @t19)) % 1.11/1.36 (define @t886 () (not (forall @t70 (or (not @t885) @t884)))) % 1.11/1.36 (define @t887 () (_ @t67 @t4 @t883)) % 1.11/1.36 (define @t888 () (@list @t883)) % 1.11/1.36 (define @t889 () (not (forall @t888 (or (not @t887) @t886)))) % 1.11/1.36 (define @t890 () (forall @t9 (or @t608 @t889))) % 1.11/1.36 (define @t891 () (forall @t81 (or (not @t890) @t882))) % 1.11/1.36 (define @t892 () (=> @t891 @t878)) % 1.11/1.36 (define @t893 () (@var "BOUND_VARIABLE_8317" $$unsorted)) % 1.11/1.36 (define @t894 () (tptp.in @t893 @t2)) % 1.11/1.36 (define @t895 () (not (tptp.in @t893 tptp.omega))) % 1.11/1.36 (define @t896 () (tptp.setadjoin @t4 @t4)) % 1.11/1.36 (define @t897 () (tptp.in @t896 @t2)) % 1.11/1.36 (define @t898 () (tptp.in @t4 tptp.omega)) % 1.11/1.36 (define @t899 () (not @t898)) % 1.11/1.36 (define @t900 () (forall @t9 (or @t899 @t608 @t897))) % 1.11/1.36 (define @t901 () (not @t900)) % 1.11/1.36 (define @t902 () (tptp.in tptp.emptyset @t2)) % 1.11/1.36 (define @t903 () (not @t902)) % 1.11/1.36 (define @t904 () (or @t903 @t901 @t895 @t894)) % 1.11/1.36 (define @t905 () (@list @t2 @t893)) % 1.11/1.36 (define @t906 () (forall @t905 @t904)) % 1.11/1.36 (define @t907 () (=> @t906 @t892)) % 1.11/1.36 (define @t908 () (tptp.in @t896 tptp.omega)) % 1.11/1.36 (define @t909 () (forall @t9 (or @t899 @t908))) % 1.11/1.36 (define @t910 () (=> @t909 @t907)) % 1.11/1.36 (define @t911 () (tptp.in tptp.emptyset tptp.omega)) % 1.11/1.36 (define @t912 () (=> @t50 @t910)) % 1.11/1.36 (define @t913 () (forall @t46 (= @t739 @t740))) % 1.11/1.36 (define @t914 () (=> @t913 @t912)) % 1.11/1.36 (define @t915 () (forall @t12 (= @t751 @t590))) % 1.11/1.36 (define @t916 () (=> @t915 @t914)) % 1.11/1.36 (define @t917 () (or @t129 @t760)) % 1.11/1.36 (define @t918 () (forall @t28 (= @t761 @t917))) % 1.11/1.36 (define @t919 () (=> @t918 @t916)) % 1.11/1.36 (define @t920 () (=> @t799 @t919)) % 1.11/1.36 (define @t921 () (forall @t9 (= @t607 @t606))) % 1.11/1.36 (define @t922 () (forall @t12 (or (not @t921) @t3))) % 1.11/1.36 (define @t923 () (=> @t922 @t920)) % 1.11/1.36 (define @t924 () (=> @t605 (=> true @t603))) % 1.11/1.36 (define @t925 () (=> @t609 @t924)) % 1.11/1.36 (define @t926 () (=> @t610 @t925)) % 1.11/1.36 (define @t927 () (=> @t611 @t926)) % 1.11/1.36 (define @t928 () (=> @t613 @t927)) % 1.11/1.36 (define @t929 () (=> @t616 @t928)) % 1.11/1.36 (define @t930 () (=> @t605 @t929)) % 1.11/1.36 (define @t931 () (=> @t605 @t930)) % 1.11/1.36 (define @t932 () (=> @t616 @t931)) % 1.11/1.36 (define @t933 () (=> @t628 @t932)) % 1.11/1.36 (define @t934 () (=> @t643 @t933)) % 1.11/1.36 (define @t935 () (=> @t652 @t934)) % 1.11/1.36 (define @t936 () (=> true (=> true @t935))) % 1.11/1.36 (define @t937 () (=> true @t936)) % 1.11/1.36 (define @t938 () (=> true @t937)) % 1.11/1.36 (define @t939 () (=> true @t938)) % 1.11/1.36 (define @t940 () (=> @t664 @t939)) % 1.11/1.36 (define @t941 () (=> @t652 @t940)) % 1.11/1.36 (define @t942 () (=> true (=> true @t941))) % 1.11/1.36 (define @t943 () (=> @t667 @t942)) % 1.11/1.36 (define @t944 () (=> @t673 @t943)) % 1.11/1.36 (define @t945 () (=> true (=> true @t944))) % 1.11/1.36 (define @t946 () (=> true @t945)) % 1.11/1.36 (define @t947 () (=> @t676 @t946)) % 1.11/1.36 (define @t948 () (=> @t678 @t947)) % 1.11/1.36 (define @t949 () (=> true (=> true @t948))) % 1.11/1.36 (define @t950 () (=> true @t949)) % 1.11/1.36 (define @t951 () (=> true @t950)) % 1.11/1.36 (define @t952 () (=> @t682 @t951)) % 1.11/1.36 (define @t953 () (=> @t691 @t952)) % 1.11/1.36 (define @t954 () (=> @t696 @t953)) % 1.11/1.36 (define @t955 () (=> @t699 @t954)) % 1.11/1.36 (define @t956 () (=> @t704 @t955)) % 1.11/1.36 (define @t957 () (=> @t710 @t956)) % 1.11/1.36 (define @t958 () (=> @t713 @t957)) % 1.11/1.36 (define @t959 () (=> @t715 @t958)) % 1.11/1.36 (define @t960 () (=> @t717 @t959)) % 1.11/1.36 (define @t961 () (=> @t721 @t960)) % 1.11/1.36 (define @t962 () (=> @t729 @t961)) % 1.11/1.36 (define @t963 () (=> @t734 @t962)) % 1.11/1.36 (define @t964 () (=> @t741 @t963)) % 1.11/1.36 (define @t965 () (=> @t743 @t964)) % 1.11/1.36 (define @t966 () (=> @t745 @t965)) % 1.11/1.36 (define @t967 () (=> @t748 @t966)) % 1.11/1.36 (define @t968 () (=> @t748 @t967)) % 1.11/1.36 (define @t969 () (=> @t753 @t968)) % 1.11/1.36 (define @t970 () (=> @t758 @t969)) % 1.11/1.36 (define @t971 () (=> @t762 @t970)) % 1.11/1.36 (define @t972 () (=> @t762 @t971)) % 1.11/1.36 (define @t973 () (=> @t766 @t972)) % 1.11/1.36 (define @t974 () (=> @t221 @t973)) % 1.11/1.36 (define @t975 () (=> @t773 @t974)) % 1.11/1.36 (define @t976 () (=> @t778 @t975)) % 1.11/1.36 (define @t977 () (=> @t780 @t976)) % 1.11/1.36 (define @t978 () (=> @t721 @t977)) % 1.11/1.36 (define @t979 () (=> @t784 @t978)) % 1.11/1.36 (define @t980 () (=> @t786 @t979)) % 1.11/1.36 (define @t981 () (=> @t786 @t980)) % 1.11/1.36 (define @t982 () (=> @t790 @t981)) % 1.11/1.36 (define @t983 () (=> @t797 @t982)) % 1.11/1.36 (define @t984 () (=> @t799 @t983)) % 1.11/1.36 (define @t985 () (=> @t799 @t984)) % 1.11/1.36 (define @t986 () (=> @t799 @t985)) % 1.11/1.36 (define @t987 () (=> @t804 @t986)) % 1.11/1.36 (define @t988 () (=> @t807 (=> true @t987))) % 1.11/1.36 (define @t989 () (=> @t809 @t988)) % 1.11/1.36 (define @t990 () (=> @t811 @t989)) % 1.11/1.36 (define @t991 () (=> @t817 @t990)) % 1.11/1.36 (define @t992 () (=> @t869 @t991)) % 1.11/1.36 (define @t993 () (=> @t877 @t992)) % 1.11/1.36 (define @t994 () (=> @t891 @t993)) % 1.11/1.36 (define @t995 () (=> @t906 @t994)) % 1.11/1.36 (define @t996 () (=> @t909 @t995)) % 1.11/1.36 (define @t997 () (=> @t50 @t996)) % 1.11/1.36 (define @t998 () (=> @t913 @t997)) % 1.11/1.36 (define @t999 () (=> @t915 @t998)) % 1.11/1.36 (define @t1000 () (=> @t918 @t999)) % 1.11/1.36 (define @t1001 () (=> @t799 @t1000)) % 1.11/1.36 (define @t1002 () (=> @t922 @t1001)) % 1.11/1.36 (define @t1003 () (=> tptp.inPowerset @t587)) % 1.11/1.36 (define @t1004 () (not @t35)) % 1.11/1.36 (define @t1005 () (or @t1004 @t424)) % 1.11/1.36 (define @t1006 () (=> tptp.powersetE1 @t1003)) % 1.11/1.36 (define @t1007 () (not @t424)) % 1.11/1.36 (define @t1008 () (or @t1007 @t35)) % 1.11/1.36 (define @t1009 () (=> tptp.powersetI1 @t1006)) % 1.11/1.36 (define @t1010 () (not @t472)) % 1.11/1.36 (define @t1011 () (or @t1010 @t196)) % 1.11/1.36 (define @t1012 () (=> tptp.subsetemptysetimpeq @t1009)) % 1.11/1.36 (define @t1013 () (or @t438 @t1007 @t3)) % 1.11/1.36 (define @t1014 () (=> tptp.setextsub @t1012)) % 1.11/1.36 (define @t1015 () (or @t438 @t466)) % 1.11/1.36 (define @t1016 () (=> tptp.subset2powerset @t1014)) % 1.11/1.36 (define @t1017 () (or @t438 @t462)) % 1.11/1.36 (define @t1018 () (=> tptp.setadjoinSub2 @t1016)) % 1.11/1.36 (define @t1019 () (=> tptp.setadjoinSub @t1018)) % 1.11/1.36 (define @t1020 () (not @t452)) % 1.11/1.36 (define @t1021 () (or @t438 @t1020 @t451)) % 1.11/1.36 (define @t1022 () (=> tptp.subsetTrans @t1019)) % 1.11/1.36 (define @t1023 () (=> tptp.subsetRefl @t1022)) % 1.11/1.36 (define @t1024 () (@list @t1 @t4)) % 1.11/1.36 (define @t1025 () (or @t623 @t606)) % 1.11/1.36 (define @t1026 () (not true)) % 1.11/1.36 (define @t1027 () (not (= @t1 @t1))) % 1.11/1.36 (define @t1028 () (or @t623 @t606 @t1027)) % 1.11/1.36 (define @t1029 () (or @t442 @t608 @t606 @t442)) % 1.11/1.36 (define @t1030 () (or @t608 @t606 @t442)) % 1.11/1.36 (define @t1031 () (forall @t64 @t1030)) % 1.11/1.36 (define @t1032 () (forall @t1024 @t1031)) % 1.11/1.36 (define @t1033 () (forall (@list @t1 @t4 @t2) @t1030)) % 1.11/1.36 (define @t1034 () (or @t197 @t6 @t442)) % 1.11/1.36 (define @t1035 () (not @t434)) % 1.11/1.36 (define @t1036 () (=> tptp.notequalI2 @t1023)) % 1.11/1.36 (define @t1037 () (or @t604 @t1027)) % 1.11/1.36 (define @t1038 () (or @t442 @t585 @t442)) % 1.11/1.36 (define @t1039 () (or @t585 @t442)) % 1.11/1.36 (define @t1040 () (forall @t64 @t1039)) % 1.11/1.36 (define @t1041 () (forall @t41 @t1040)) % 1.11/1.36 (define @t1042 () (@list @t1 @t2)) % 1.11/1.36 (define @t1043 () (forall @t1042 @t1039)) % 1.11/1.36 (define @t1044 () (or @t419 @t442)) % 1.11/1.36 (define @t1045 () (=> tptp.notequalI1 @t1036)) % 1.11/1.36 (define @t1046 () (or @t197 @t6 @t438)) % 1.11/1.36 (define @t1047 () (=> tptp.notsubsetI @t1045)) % 1.11/1.36 (define @t1048 () (or @t438 @t6 @t197)) % 1.11/1.36 (define @t1049 () (=> tptp.subsetE2 @t1047)) % 1.11/1.36 (define @t1050 () (or @t438 @t197 @t6)) % 1.11/1.36 (define @t1051 () (or @t197 @t6)) % 1.11/1.36 (define @t1052 () (=> tptp.subsetE @t1049)) % 1.11/1.36 (define @t1053 () (=> tptp.emptysetsubset @t1052)) % 1.11/1.36 (define @t1054 () (or @t615 @t419)) % 1.11/1.36 (define @t1055 () (=> tptp.subsetI2 @t1053)) % 1.11/1.36 (define @t1056 () (or @t1027 @t604)) % 1.11/1.36 (define @t1057 () (or @t442 @t442 @t585)) % 1.11/1.36 (define @t1058 () (or @t442 @t585)) % 1.11/1.36 (define @t1059 () (forall @t64 @t1058)) % 1.11/1.36 (define @t1060 () (forall @t41 @t1059)) % 1.11/1.36 (define @t1061 () (forall @t1042 @t1058)) % 1.11/1.36 (define @t1062 () (or @t442 @t419)) % 1.11/1.36 (define @t1063 () (=> tptp.eqimpsubset1 @t1055)) % 1.11/1.36 (define @t1064 () (or @t442 @t442 @t589)) % 1.11/1.36 (define @t1065 () (or @t442 @t589)) % 1.11/1.36 (define @t1066 () (forall @t64 @t1065)) % 1.11/1.36 (define @t1067 () (forall @t41 @t1066)) % 1.11/1.36 (define @t1068 () (forall @t1042 @t1065)) % 1.11/1.36 (define @t1069 () (or @t442 @t424)) % 1.11/1.36 (define @t1070 () (=> tptp.eqimpsubset2 @t1063)) % 1.11/1.36 (define @t1071 () (=> tptp.subsetI1 @t1070)) % 1.11/1.36 (define @t1072 () (or @t623 @t623 @t622)) % 1.11/1.36 (define @t1073 () (forall @t9 @t1072)) % 1.11/1.36 (define @t1074 () (not @t1073)) % 1.11/1.36 (define @t1075 () (or @t1027 @t1074 (= @t618 @t620))) % 1.11/1.36 (define @t1076 () (= (tptp.dsetconstr @t2 @t617) @t620)) % 1.11/1.36 (define @t1077 () (not (forall @t9 (or @t608 @t623 @t622)))) % 1.11/1.36 (define @t1078 () (or @t442 @t442 @t1077 @t1076)) % 1.11/1.36 (define @t1079 () (or @t442 @t1077 @t1076)) % 1.11/1.36 (define @t1080 () (forall @t64 @t1079)) % 1.11/1.36 (define @t1081 () (forall @t627 @t1080)) % 1.11/1.36 (define @t1082 () (forall (@list @t1 @t617 @t619 @t2) @t1079)) % 1.11/1.36 (define @t1083 () (@list @t2 @t1 @t617 @t619)) % 1.11/1.36 (define @t1084 () (or @t1077 @t1076)) % 1.11/1.36 (define @t1085 () (or @t442 @t1084)) % 1.11/1.36 (define @t1086 () (forall @t1083 @t1085)) % 1.11/1.36 (define @t1087 () (@list @t617 @t619)) % 1.11/1.36 (define @t1088 () (forall @t1087 @t1085)) % 1.11/1.36 (define @t1089 () (forall @t1087 @t1084)) % 1.11/1.36 (define @t1090 () (or @t442 @t1089)) % 1.11/1.36 (define @t1091 () (= @t659 @t654)) % 1.11/1.36 (define @t1092 () (forall @t9 (or @t608 @t623 @t1091))) % 1.11/1.36 (define @t1093 () (not @t1092)) % 1.11/1.36 (define @t1094 () (forall @t375 (or @t1093 (= @t687 (tptp.dsetconstr @t1 @t365))))) % 1.11/1.36 (define @t1095 () (lambda @t9 @t654)) % 1.11/1.36 (define @t1096 () (tptp.dsetconstr @t1 @t1095)) % 1.11/1.36 (define @t1097 () (lambda @t9 @t659)) % 1.11/1.36 (define @t1098 () (tptp.dsetconstr @t2 @t1097)) % 1.11/1.36 (define @t1099 () (= @t1098 @t1096)) % 1.11/1.36 (define @t1100 () (or @t1093 @t1099)) % 1.11/1.36 (define @t1101 () (or @t1093 @t409)) % 1.11/1.36 (define @t1102 () (or @t197 @t623 @t1091)) % 1.11/1.36 (define @t1103 () (or @t623 @t1091)) % 1.11/1.36 (define @t1104 () (not (= @t4 @t4))) % 1.11/1.36 (define @t1105 () (or @t623 @t1104 @t1091)) % 1.11/1.36 (define @t1106 () (= @t659 @t630)) % 1.11/1.36 (define @t1107 () (tptp.in @t19 @t1)) % 1.11/1.36 (define @t1108 () (not @t1107)) % 1.11/1.36 (define @t1109 () (or @t282 @t1108 @t282 @t1106)) % 1.11/1.36 (define @t1110 () (or @t1108 @t282 @t1106)) % 1.11/1.36 (define @t1111 () (not @t351)) % 1.11/1.36 (define @t1112 () (or @t1111 @t282 @t371)) % 1.11/1.36 (define @t1113 () (or @t282 @t371)) % 1.11/1.36 (define @t1114 () (=> tptp.dsetconstr__Cong @t1071)) % 1.11/1.36 (define @t1115 () (or @t631 (= @t629 @t19))) % 1.11/1.36 (define @t1116 () (forall @t70 @t1115)) % 1.11/1.36 (define @t1117 () (not @t1116)) % 1.11/1.36 (define @t1118 () (or @t635 (= @t633 @t19))) % 1.11/1.36 (define @t1119 () (forall @t70 @t1118)) % 1.11/1.36 (define @t1120 () (not @t1119)) % 1.11/1.36 (define @t1121 () (or @t641 @t638 @t636 @t1120 @t632 @t1117)) % 1.11/1.36 (define @t1122 () (or @t632 @t1117)) % 1.11/1.36 (define @t1123 () (or @t636 @t1120)) % 1.11/1.36 (define @t1124 () (or @t641 @t1123 @t1122 @t638)) % 1.11/1.36 (define @t1125 () (forall @t642 @t1124)) % 1.11/1.36 (define @t1126 () (forall (@list @t633 @t629) @t1124)) % 1.11/1.36 (define @t1127 () (forall (@list @t629) @t1122)) % 1.11/1.36 (define @t1128 () (@list @t4)) % 1.11/1.36 (define @t1129 () (forall (@list @t633) @t1123)) % 1.11/1.36 (define @t1130 () (or @t641 @t1129 @t1127 @t638)) % 1.11/1.36 (define @t1131 () (tptp.descr @t1095)) % 1.11/1.36 (define @t1132 () (tptp.descr @t1097)) % 1.11/1.36 (define @t1133 () (= @t1132 @t1131)) % 1.11/1.36 (define @t1134 () (or @t641 @t661 @t655 @t1133)) % 1.11/1.36 (define @t1135 () (or @t641 @t661 @t655 @t401)) % 1.11/1.36 (define @t1136 () (or @t661 @t655 @t401)) % 1.11/1.36 (define @t1137 () (=> @t656 @t401)) % 1.11/1.36 (define @t1138 () (not @t662)) % 1.11/1.36 (define @t1139 () (=> @t662 @t1137)) % 1.11/1.36 (define @t1140 () (not @t366)) % 1.11/1.36 (define @t1141 () (or @t1140 @t653)) % 1.11/1.36 (define @t1142 () (not @t370)) % 1.11/1.36 (define @t1143 () (or @t1142 @t129)) % 1.11/1.36 (define @t1144 () (_ @t367 @t19)) % 1.11/1.36 (define @t1145 () (not @t1144)) % 1.11/1.36 (define @t1146 () (or @t1145 @t129)) % 1.11/1.36 (define @t1147 () (forall @t70 @t1146)) % 1.11/1.36 (define @t1148 () (not @t1147)) % 1.11/1.36 (define @t1149 () (_ @t367 @t4)) % 1.11/1.36 (define @t1150 () (not @t1149)) % 1.11/1.36 (define @t1151 () (or @t1150 @t1148)) % 1.11/1.36 (define @t1152 () (forall @t9 @t1151)) % 1.11/1.36 (define @t1153 () (not @t1152)) % 1.11/1.36 (define @t1154 () (lambda @t150 @t662)) % 1.11/1.36 (define @t1155 () (_ @t1154 @t367)) % 1.11/1.36 (define @t1156 () (=> @t1155 @t401)) % 1.11/1.36 (define @t1157 () (or @t315 @t658)) % 1.11/1.36 (define @t1158 () (not @t153)) % 1.11/1.36 (define @t1159 () (or @t1158 @t129)) % 1.11/1.36 (define @t1160 () (_ @t145 @t19)) % 1.11/1.36 (define @t1161 () (not @t1160)) % 1.11/1.36 (define @t1162 () (or @t1161 @t129)) % 1.11/1.36 (define @t1163 () (forall @t70 @t1162)) % 1.11/1.36 (define @t1164 () (not @t1163)) % 1.11/1.36 (define @t1165 () (_ @t145 @t4)) % 1.11/1.36 (define @t1166 () (not @t1165)) % 1.11/1.36 (define @t1167 () (or @t1166 @t1164)) % 1.11/1.36 (define @t1168 () (forall @t9 @t1167)) % 1.11/1.36 (define @t1169 () (not @t1168)) % 1.11/1.36 (define @t1170 () (_ @t1154 @t145)) % 1.11/1.36 (define @t1171 () (=> @t1170 @t1156)) % 1.11/1.36 (define @t1172 () (not (= @t19 @t19))) % 1.11/1.36 (define @t1173 () (or @t1172 @t639)) % 1.11/1.36 (define @t1174 () (or @t282 @t282 @t1106)) % 1.11/1.36 (define @t1175 () (or @t282 @t1106)) % 1.11/1.36 (define @t1176 () (forall @t9 @t1175)) % 1.11/1.36 (define @t1177 () (forall @t70 @t1176)) % 1.11/1.36 (define @t1178 () (@list @t19 @t4)) % 1.11/1.36 (define @t1179 () (forall @t1178 @t1175)) % 1.11/1.36 (define @t1180 () (=> @t373 @t1171)) % 1.11/1.36 (define @t1181 () (forall @t375 @t1180)) % 1.11/1.36 (define @t1182 () (and @t144 @t657)) % 1.11/1.36 (define @t1183 () (forall @t9 (not @t1182))) % 1.11/1.36 (define @t1184 () (not @t1183)) % 1.11/1.36 (define @t1185 () (=> tptp.descr__Cong @t1114)) % 1.11/1.36 (define @t1186 () (or @t635 (= @t649 @t19))) % 1.11/1.36 (define @t1187 () (forall @t70 @t1186)) % 1.11/1.36 (define @t1188 () (not @t1187)) % 1.11/1.36 (define @t1189 () (or @t650 @t1188 @t648 @t647 @t646)) % 1.11/1.36 (define @t1190 () (or @t648 @t647 @t646)) % 1.11/1.36 (define @t1191 () (or @t650 @t1188)) % 1.11/1.36 (define @t1192 () (or @t1191 @t1190)) % 1.11/1.36 (define @t1193 () (forall @t651 @t1192)) % 1.11/1.36 (define @t1194 () (forall (@list @t649 @t645 @t644) @t1192)) % 1.11/1.36 (define @t1195 () (forall (@list @t645 @t644) @t1190)) % 1.11/1.36 (define @t1196 () (forall (@list @t649) @t1191)) % 1.11/1.36 (define @t1197 () (or @t1196 @t1195)) % 1.11/1.36 (define @t1198 () (or @t315 @t1158 @t129)) % 1.11/1.36 (define @t1199 () (=> @t1170 @t343)) % 1.11/1.36 (define @t1200 () (forall @t150 @t1199)) % 1.11/1.36 (define @t1201 () (=> tptp.exuEu @t1185)) % 1.11/1.36 (define @t1202 () (=> tptp.omega__Cong @t1201)) % 1.11/1.36 (define @t1203 () (tptp.setunion @t1)) % 1.11/1.36 (define @t1204 () (or @t1027 (= @t1203 @t1203))) % 1.11/1.36 (define @t1205 () (= @t731 @t1203)) % 1.11/1.36 (define @t1206 () (or @t442 @t442 @t1205)) % 1.11/1.36 (define @t1207 () (or @t442 @t1205)) % 1.11/1.36 (define @t1208 () (forall @t64 @t1207)) % 1.11/1.36 (define @t1209 () (forall @t41 @t1208)) % 1.11/1.36 (define @t1210 () (forall @t1042 @t1207)) % 1.11/1.36 (define @t1211 () (or @t442 @t395)) % 1.11/1.36 (define @t1212 () (=> tptp.setunion__Cong @t1202)) % 1.11/1.36 (define @t1213 () (or @t1027 (= @t582 @t582))) % 1.11/1.36 (define @t1214 () (= @t583 @t582)) % 1.11/1.36 (define @t1215 () (or @t442 @t442 @t1214)) % 1.11/1.36 (define @t1216 () (or @t442 @t1214)) % 1.11/1.36 (define @t1217 () (forall @t64 @t1216)) % 1.11/1.36 (define @t1218 () (forall @t41 @t1217)) % 1.11/1.36 (define @t1219 () (forall @t1042 @t1216)) % 1.11/1.36 (define @t1220 () (or @t442 @t391)) % 1.11/1.36 (define @t1221 () (=> tptp.powerset__Cong @t1212)) % 1.11/1.36 (define @t1222 () (@var "BOUND_VARIABLE_9439" $$unsorted)) % 1.11/1.36 (define @t1223 () (@list @t19 @t1222)) % 1.11/1.36 (define @t1224 () (tptp.setadjoin @t19 @t1222)) % 1.11/1.36 (define @t1225 () (or @t1172 (= @t1224 @t1224))) % 1.11/1.36 (define @t1226 () (= @t1224 (tptp.setadjoin @t4 @t1222))) % 1.11/1.36 (define @t1227 () (or @t282 @t282 @t1226)) % 1.11/1.36 (define @t1228 () (or @t282 @t1226)) % 1.11/1.36 (define @t1229 () (forall @t9 @t1228)) % 1.11/1.36 (define @t1230 () (forall @t1223 @t1229)) % 1.11/1.36 (define @t1231 () (forall (@list @t19 @t1222 @t4) @t1228)) % 1.11/1.36 (define @t1232 () (forall (@list @t4 @t19 @t1222) @t1228)) % 1.11/1.36 (define @t1233 () (@list @t1222)) % 1.11/1.36 (define @t1234 () (forall @t1233 @t1228)) % 1.11/1.36 (define @t1235 () (forall @t1233 @t1226)) % 1.11/1.36 (define @t1236 () (or @t282 @t1235)) % 1.11/1.36 (define @t1237 () (tptp.setadjoin @t4 @t380)) % 1.11/1.36 (define @t1238 () (tptp.setadjoin @t19 @t380)) % 1.11/1.36 (define @t1239 () (= @t1238 @t1237)) % 1.11/1.36 (define @t1240 () (@list @t380)) % 1.11/1.36 (define @t1241 () (forall @t1240 @t1239)) % 1.11/1.36 (define @t1242 () (not (= @t380 @t380))) % 1.11/1.36 (define @t1243 () (or @t1242 (= @t1237 @t1238))) % 1.11/1.36 (define @t1244 () (tptp.setadjoin @t4 @t289)) % 1.11/1.36 (define @t1245 () (= @t1244 @t1238)) % 1.11/1.36 (define @t1246 () (not @t384)) % 1.11/1.36 (define @t1247 () (or @t1246 @t1246 @t1245)) % 1.11/1.36 (define @t1248 () (@list @t289)) % 1.11/1.36 (define @t1249 () (or @t1246 @t1245)) % 1.11/1.36 (define @t1250 () (forall @t1248 @t1249)) % 1.11/1.36 (define @t1251 () (forall @t1240 @t1250)) % 1.11/1.36 (define @t1252 () (forall (@list @t380 @t289) @t1249)) % 1.11/1.36 (define @t1253 () (or @t1246 @t383)) % 1.11/1.36 (define @t1254 () (=> tptp.setadjoin__Cong @t1221)) % 1.11/1.36 (define @t1255 () (=> tptp.emptyset__Cong @t1254)) % 1.11/1.36 (define @t1256 () (= @t1170 @t1155)) % 1.11/1.36 (define @t1257 () (=> @t373 @t1256)) % 1.11/1.36 (define @t1258 () (forall @t375 @t1257)) % 1.11/1.36 (define @t1259 () (=> tptp.exu__Cong @t1255)) % 1.11/1.36 (define @t1260 () (=> tptp.exuE3u @t1259)) % 1.11/1.36 (define @t1261 () (@var "BOUND_VARIABLE_9312" $$unsorted)) % 1.11/1.36 (define @t1262 () (@list @t1 @t1261)) % 1.11/1.36 (define @t1263 () (tptp.in @t1261 @t1)) % 1.11/1.36 (define @t1264 () (or @t1027 (= @t1263 @t1263))) % 1.11/1.36 (define @t1265 () (= (tptp.in @t1261 @t2) @t1263)) % 1.11/1.36 (define @t1266 () (or @t442 @t442 @t1265)) % 1.11/1.36 (define @t1267 () (or @t442 @t1265)) % 1.11/1.36 (define @t1268 () (forall @t64 @t1267)) % 1.11/1.36 (define @t1269 () (forall @t1262 @t1268)) % 1.11/1.36 (define @t1270 () (forall (@list @t1 @t1261 @t2) @t1267)) % 1.11/1.36 (define @t1271 () (forall (@list @t2 @t1 @t1261) @t1267)) % 1.11/1.36 (define @t1272 () (@list @t1261)) % 1.11/1.36 (define @t1273 () (forall @t1272 @t1267)) % 1.11/1.36 (define @t1274 () (forall @t1272 @t1265)) % 1.11/1.36 (define @t1275 () (@list @t19)) % 1.11/1.36 (define @t1276 () (or @t442 @t1274)) % 1.11/1.36 (define @t1277 () (= @t760 @t1107)) % 1.11/1.36 (define @t1278 () (forall @t70 @t1277)) % 1.11/1.36 (define @t1279 () (or @t1172 @t1277)) % 1.11/1.36 (define @t1280 () (= @t607 @t1107)) % 1.11/1.36 (define @t1281 () (or @t282 @t282 @t1280)) % 1.11/1.36 (define @t1282 () (or @t282 @t1280)) % 1.11/1.36 (define @t1283 () (forall @t9 @t1282)) % 1.11/1.36 (define @t1284 () (forall @t70 @t1283)) % 1.11/1.36 (define @t1285 () (forall @t1178 @t1282)) % 1.11/1.36 (define @t1286 () (or @t282 @t357)) % 1.11/1.36 (define @t1287 () (=> tptp.in__Cong @t1260)) % 1.11/1.36 (define @t1288 () (@var "BOUND_VARIABLE_9275" $$unsorted)) % 1.11/1.36 (define @t1289 () (@list @t1 @t1288)) % 1.11/1.36 (define @t1290 () (tptp.in @t1288 @t1)) % 1.11/1.36 (define @t1291 () (not @t1290)) % 1.11/1.36 (define @t1292 () (or @t1291 @t1290)) % 1.11/1.36 (define @t1293 () (or @t1027 @t1291 @t1290)) % 1.11/1.36 (define @t1294 () (not (tptp.in @t1288 @t2))) % 1.11/1.36 (define @t1295 () (or @t442 @t442 @t1294 @t1290)) % 1.11/1.36 (define @t1296 () (or @t442 @t1294 @t1290)) % 1.11/1.36 (define @t1297 () (forall @t64 @t1296)) % 1.11/1.36 (define @t1298 () (forall @t1289 @t1297)) % 1.11/1.36 (define @t1299 () (forall (@list @t1 @t1288 @t2) @t1296)) % 1.11/1.36 (define @t1300 () (@list @t2 @t1 @t1288)) % 1.11/1.36 (define @t1301 () (or @t1294 @t1290)) % 1.11/1.36 (define @t1302 () (or @t442 @t1301)) % 1.11/1.36 (define @t1303 () (forall @t1300 @t1302)) % 1.11/1.36 (define @t1304 () (@list @t1288)) % 1.11/1.36 (define @t1305 () (forall @t1304 @t1302)) % 1.11/1.36 (define @t1306 () (forall @t1304 @t1301)) % 1.11/1.36 (define @t1307 () (or @t442 @t1306)) % 1.11/1.36 (define @t1308 () (or @t765 @t1107)) % 1.11/1.36 (define @t1309 () (forall @t70 @t1308)) % 1.11/1.36 (define @t1310 () (or @t1172 @t765 @t1107)) % 1.11/1.36 (define @t1311 () (or @t282 @t282 @t608 @t1107)) % 1.11/1.36 (define @t1312 () (or @t282 @t608 @t1107)) % 1.11/1.36 (define @t1313 () (forall @t9 @t1312)) % 1.11/1.36 (define @t1314 () (forall @t70 @t1313)) % 1.11/1.36 (define @t1315 () (forall @t1178 @t1312)) % 1.11/1.36 (define @t1316 () (or @t282 @t197 @t351)) % 1.11/1.36 (define @t1317 () (=> tptp.inCongP @t1287)) % 1.11/1.36 (define @t1318 () (= @t665 @t19)) % 1.11/1.36 (define @t1319 () (forall @t70 (= @t1318 @t634))) % 1.11/1.36 (define @t1320 () (not @t1319)) % 1.11/1.36 (define @t1321 () (or @t1320 @t662)) % 1.11/1.36 (define @t1322 () (forall @t666 @t1321)) % 1.11/1.36 (define @t1323 () (@list @t665)) % 1.11/1.36 (define @t1324 () (forall @t1323 @t1321)) % 1.11/1.36 (define @t1325 () (forall @t1323 @t1320)) % 1.11/1.36 (define @t1326 () (or @t1325 @t662)) % 1.11/1.36 (define @t1327 () (= @t153 @t129)) % 1.11/1.36 (define @t1328 () (=> @t265 @t1170)) % 1.11/1.36 (define @t1329 () (forall @t150 @t1328)) % 1.11/1.36 (define @t1330 () (=> tptp.exuI2 @t1317)) % 1.11/1.36 (define @t1331 () (@list @t670)) % 1.11/1.36 (define @t1332 () (forall @t1331 @t672)) % 1.11/1.36 (define @t1333 () (forall @t1331 @t671)) % 1.11/1.36 (define @t1334 () (or @t1333 @t669 @t662)) % 1.11/1.36 (define @t1335 () (or @t794 @t669 @t662)) % 1.11/1.36 (define @t1336 () (=> @t668 @t662)) % 1.11/1.36 (define @t1337 () (=> @t343 @t1170)) % 1.11/1.36 (define @t1338 () (forall @t9 @t315)) % 1.11/1.36 (define @t1339 () (not @t1338)) % 1.11/1.36 (define @t1340 () (=> @t186 @t1337)) % 1.11/1.36 (define @t1341 () (forall @t150 @t1340)) % 1.11/1.36 (define @t1342 () (=> tptp.exuI3 @t1330)) % 1.11/1.36 (define @t1343 () (=> @t169 @t1170)) % 1.11/1.36 (define @t1344 () (forall @t150 @t1343)) % 1.11/1.36 (define @t1345 () (=> tptp.exuI1 @t1342)) % 1.11/1.36 (define @t1346 () (forall @t9 (or @t608 @t659))) % 1.11/1.36 (define @t1347 () (not @t1346)) % 1.11/1.36 (define @t1348 () (or @t197 @t144)) % 1.11/1.36 (define @t1349 () (forall @t9 (not @t316))) % 1.11/1.36 (define @t1350 () (not @t1349)) % 1.11/1.36 (define @t1351 () (=> tptp.notdallE @t1345)) % 1.11/1.36 (define @t1352 () (forall @t9 (or @t608 @t660))) % 1.11/1.36 (define @t1353 () (or @t197 @t315)) % 1.11/1.36 (define @t1354 () (forall @t9 (not @t306))) % 1.11/1.36 (define @t1355 () (not @t1354)) % 1.11/1.36 (define @t1356 () (=> tptp.notdexE @t1351)) % 1.11/1.36 (define @t1357 () (or @t1026 @t676)) % 1.11/1.36 (define @t1358 () (tptp.prop2set @t173)) % 1.11/1.36 (define @t1359 () (tptp.set2prop @t1358)) % 1.11/1.36 (define @t1360 () (not @t173)) % 1.11/1.36 (define @t1361 () (not (= @t173 true))) % 1.11/1.36 (define @t1362 () (or @t1360 @t1360 @t1359)) % 1.11/1.36 (define @t1363 () (or @t1360 @t1359)) % 1.11/1.36 (define @t1364 () (or @t1360 @t337)) % 1.11/1.36 (define @t1365 () (=> tptp.prop2set2propI @t1356)) % 1.11/1.36 (define @t1366 () (or @t1026 @t678)) % 1.11/1.36 (define @t1367 () (tptp.in tptp.emptyset @t1358)) % 1.11/1.36 (define @t1368 () (or @t1360 @t1360 @t1367)) % 1.11/1.36 (define @t1369 () (or @t1360 @t1367)) % 1.11/1.36 (define @t1370 () (or @t1360 @t334)) % 1.11/1.36 (define @t1371 () (=> tptp.prop2setI @t1365)) % 1.11/1.36 (define @t1372 () (=> tptp.quantDeMorgan4 @t1371)) % 1.11/1.36 (define @t1373 () (=> tptp.quantDeMorgan3 @t1372)) % 1.11/1.36 (define @t1374 () (=> tptp.quantDeMorgan2 @t1373)) % 1.11/1.36 (define @t1375 () (=> tptp.quantDeMorgan1 @t1374)) % 1.11/1.36 (define @t1376 () (or @t16 @t144)) % 1.11/1.36 (define @t1377 () (=> tptp.vacuousDall @t1375)) % 1.11/1.36 (define @t1378 () (or @t686 @t685)) % 1.11/1.36 (define @t1379 () (or @t1378 @t688)) % 1.11/1.36 (define @t1380 () (forall @t690 @t1379)) % 1.11/1.36 (define @t1381 () (@list @t684)) % 1.11/1.36 (define @t1382 () (forall @t1381 @t1379)) % 1.11/1.36 (define @t1383 () (forall @t1381 @t1378)) % 1.11/1.36 (define @t1384 () (or @t1383 @t688)) % 1.11/1.36 (define @t1385 () (= tptp.emptyset @t1098)) % 1.11/1.36 (define @t1386 () (not @t1385)) % 1.11/1.36 (define @t1387 () (or @t1352 @t1386)) % 1.11/1.36 (define @t1388 () (= tptp.emptyset @t304)) % 1.11/1.36 (define @t1389 () (not @t1388)) % 1.11/1.36 (define @t1390 () (or @t1352 @t1389)) % 1.11/1.36 (define @t1391 () (not @t1352)) % 1.11/1.36 (define @t1392 () (=> tptp.emptyE1 @t1377)) % 1.11/1.36 (define @t1393 () (=> tptp.upairsetIR @t1392)) % 1.11/1.36 (define @t1394 () (=> tptp.upairsetIL @t1393)) % 1.11/1.36 (define @t1395 () (not @t293)) % 1.11/1.36 (define @t1396 () (or @t1395 @t702 @t701)) % 1.11/1.36 (define @t1397 () (or @t702 @t701)) % 1.11/1.36 (define @t1398 () (=> tptp.upairsetE @t1394)) % 1.11/1.36 (define @t1399 () (not @t276)) % 1.11/1.36 (define @t1400 () (or @t1399 @t280)) % 1.11/1.36 (define @t1401 () (=> tptp.singletonsswitch @t1398)) % 1.11/1.36 (define @t1402 () (or @t1172 @t712)) % 1.11/1.36 (define @t1403 () (or @t282 @t282 @t708)) % 1.11/1.36 (define @t1404 () (or @t282 @t708)) % 1.11/1.36 (define @t1405 () (forall @t9 @t1404)) % 1.11/1.36 (define @t1406 () (forall @t70 @t1405)) % 1.11/1.36 (define @t1407 () (forall @t1178 @t1404)) % 1.11/1.36 (define @t1408 () (or @t282 @t276)) % 1.11/1.36 (define @t1409 () (=> tptp.eqinunit @t1401)) % 1.11/1.36 (define @t1410 () (or @t129 @t281)) % 1.11/1.36 (define @t1411 () (=> tptp.notinsingleton @t1409)) % 1.11/1.36 (define @t1412 () (or @t1399 @t129)) % 1.11/1.36 (define @t1413 () (=> tptp.uniqinunit @t1411)) % 1.11/1.36 (define @t1414 () (not @t196)) % 1.11/1.36 (define @t1415 () (not @t198)) % 1.11/1.36 (define @t1416 () (_ @t581 @t2)) % 1.11/1.36 (define @t1417 () (=> @t1416 @t270)) % 1.11/1.36 (define @t1418 () (forall @t64 @t1417)) % 1.11/1.36 (define @t1419 () (=> tptp.nonemptyImpWitness @t1413)) % 1.11/1.36 (define @t1420 () (or @t635 (= @t723 @t19))) % 1.11/1.36 (define @t1421 () (forall @t70 @t1420)) % 1.11/1.36 (define @t1422 () (not @t1421)) % 1.11/1.36 (define @t1423 () (or @t727 @t724 @t1422)) % 1.11/1.36 (define @t1424 () (or @t724 @t1422)) % 1.11/1.36 (define @t1425 () (or @t1424 @t727)) % 1.11/1.36 (define @t1426 () (forall @t728 @t1425)) % 1.11/1.36 (define @t1427 () (@list @t723)) % 1.11/1.36 (define @t1428 () (forall @t1427 @t1425)) % 1.11/1.36 (define @t1429 () (forall @t1427 @t1424)) % 1.11/1.36 (define @t1430 () (or @t1429 @t727)) % 1.11/1.36 (define @t1431 () (=> @t1170 @t265)) % 1.11/1.36 (define @t1432 () (forall @t150 @t1431)) % 1.11/1.36 (define @t1433 () (=> tptp.exuE2 @t1419)) % 1.11/1.36 (define @t1434 () (or @t197 @t260)) % 1.11/1.36 (define @t1435 () (=> tptp.subPowSU @t1433)) % 1.11/1.36 (define @t1436 () (not @t44)) % 1.11/1.36 (define @t1437 () (or @t1436 @t739)) % 1.11/1.36 (define @t1438 () (not false)) % 1.11/1.36 (define @t1439 () (and @t1438 @t739)) % 1.11/1.36 (define @t1440 () (or @t1439 false)) % 1.11/1.36 (define @t1441 () (and @t1360 @t739)) % 1.11/1.36 (define @t1442 () (not (= @t173 false))) % 1.11/1.36 (define @t1443 () (or @t173 @t1441 @t173)) % 1.11/1.36 (define @t1444 () (or @t1441 @t173)) % 1.11/1.36 (define @t1445 () (or @t173 @t738)) % 1.11/1.36 (define @t1446 () (not @t39)) % 1.11/1.36 (define @t1447 () (or @t434 @t1446)) % 1.11/1.36 (define @t1448 () (forall @t41 @t1447)) % 1.11/1.36 (define @t1449 () (or @t173 @t1448)) % 1.11/1.36 (define @t1450 () (or @t173 @t1447)) % 1.11/1.36 (define @t1451 () (or @t434 @t1446 @t173)) % 1.11/1.36 (define @t1452 () (=> tptp.setunionE @t1435)) % 1.11/1.36 (define @t1453 () (or @t434 @t1446 @t44)) % 1.11/1.36 (define @t1454 () (=> tptp.setunionI @t1452)) % 1.11/1.36 (define @t1455 () (or @t1004 @t434 @t7)) % 1.11/1.36 (define @t1456 () (or @t434 @t7)) % 1.11/1.36 (define @t1457 () (=> tptp.powersetE @t1454)) % 1.11/1.36 (define @t1458 () (=> tptp.emptyInPowerset @t1457)) % 1.11/1.36 (define @t1459 () (=> tptp.emptyinPowerset @t1458)) % 1.11/1.36 (define @t1460 () (or @t752 @t35)) % 1.11/1.36 (define @t1461 () (=> tptp.powersetI @t1459)) % 1.11/1.36 (define @t1462 () (_ @t155 @t756)) % 1.11/1.36 (define @t1463 () (= @t2 @t1462)) % 1.11/1.36 (define @t1464 () (=> tptp.setoftrueEq @t1461)) % 1.11/1.36 (define @t1465 () (not @t26)) % 1.11/1.36 (define @t1466 () (or @t1465 @t129 @t21)) % 1.11/1.36 (define @t1467 () (or @t129 @t21)) % 1.11/1.36 (define @t1468 () (=> tptp.setadjoinOr @t1464)) % 1.11/1.36 (define @t1469 () (or @t1465 @t129 @t760)) % 1.11/1.36 (define @t1470 () (and @t760 @t1438)) % 1.11/1.36 (define @t1471 () (and @t129 @t1438)) % 1.11/1.36 (define @t1472 () (or @t1471 @t1470)) % 1.11/1.36 (define @t1473 () (or @t1471 @t1470 false)) % 1.11/1.36 (define @t1474 () (and @t760 @t1360)) % 1.11/1.36 (define @t1475 () (and @t129 @t1360)) % 1.11/1.36 (define @t1476 () (or @t173 @t1475 @t1474 @t173)) % 1.11/1.36 (define @t1477 () (or @t1475 @t1474 @t173)) % 1.11/1.36 (define @t1478 () (and @t21 @t1360)) % 1.11/1.36 (define @t1479 () (or @t1475 @t1478 @t173)) % 1.11/1.36 (define @t1480 () (=> @t129 @t173)) % 1.11/1.36 (define @t1481 () (=> tptp.setadjoinE @t1468)) % 1.11/1.36 (define @t1482 () (not @t21)) % 1.11/1.36 (define @t1483 () (or @t1482 @t26)) % 1.11/1.36 (define @t1484 () (=> tptp.setadjoinIR @t1481)) % 1.11/1.36 (define @t1485 () (=> tptp.emptyinunitempty @t1484)) % 1.11/1.36 (define @t1486 () (=> tptp.setadjoinIL @t1485)) % 1.11/1.36 (define @t1487 () (not @t378)) % 1.11/1.36 (define @t1488 () (or @t776 @t1487)) % 1.11/1.36 (define @t1489 () (not (tptp.in @t775 @t2))) % 1.11/1.36 (define @t1490 () (or @t1414 @t1489 @t1414)) % 1.11/1.36 (define @t1491 () (or @t1489 @t1414)) % 1.11/1.36 (define @t1492 () (forall @t64 @t1491)) % 1.11/1.36 (define @t1493 () (forall @t777 @t1492)) % 1.11/1.36 (define @t1494 () (forall (@list @t775 @t2) @t1491)) % 1.11/1.36 (define @t1495 () (forall (@list @t2 @t775) @t1491)) % 1.11/1.36 (define @t1496 () (forall @t777 @t1491)) % 1.11/1.36 (define @t1497 () (forall @t777 @t1489)) % 1.11/1.36 (define @t1498 () (or @t1497 @t1414)) % 1.11/1.36 (define @t1499 () (not @t720)) % 1.11/1.36 (define @t1500 () (=> @t89 @t1416)) % 1.11/1.36 (define @t1501 () (forall @t64 @t1500)) % 1.11/1.36 (define @t1502 () (=> tptp.nonemptyI1 @t1486)) % 1.11/1.36 (define @t1503 () (lambda @t70 @t634)) % 1.11/1.36 (define @t1504 () (tptp.dsetconstr @t2 @t1503)) % 1.11/1.36 (define @t1505 () (= tptp.emptyset @t1504)) % 1.11/1.36 (define @t1506 () (not @t1505)) % 1.11/1.36 (define @t1507 () (or @t608 @t660 @t1506)) % 1.11/1.36 (define @t1508 () (= tptp.emptyset @t156)) % 1.11/1.36 (define @t1509 () (not @t1508)) % 1.11/1.36 (define @t1510 () (or @t197 @t315 @t1509)) % 1.11/1.36 (define @t1511 () (=> @t144 @t1509)) % 1.11/1.36 (define @t1512 () (not (= @t156 tptp.emptyset))) % 1.11/1.36 (define @t1513 () (_ @t581 @t156)) % 1.11/1.36 (define @t1514 () (=> @t144 @t1513)) % 1.11/1.36 (define @t1515 () (=> @t7 @t1514)) % 1.11/1.36 (define @t1516 () (forall @t159 @t1515)) % 1.11/1.36 (define @t1517 () (=> tptp.nonemptyI @t1502)) % 1.11/1.36 (define @t1518 () (=> @t1416 @t89)) % 1.11/1.36 (define @t1519 () (forall @t64 @t1518)) % 1.11/1.36 (define @t1520 () (=> tptp.nonemptyE1 @t1517)) % 1.11/1.36 (define @t1521 () (tptp.in @t4 @t1504)) % 1.11/1.36 (define @t1522 () (= @t659 @t1521)) % 1.11/1.36 (define @t1523 () (or @t608 @t1522)) % 1.11/1.36 (define @t1524 () (= @t144 @t157)) % 1.11/1.36 (define @t1525 () (or @t197 @t1524)) % 1.11/1.36 (define @t1526 () (=> tptp.setbeta @t1520)) % 1.11/1.36 (define @t1527 () (=> tptp.noeltsimpempty @t1526)) % 1.11/1.36 (define @t1528 () (=> tptp.emptyI @t1527)) % 1.11/1.36 (define @t1529 () (=> @t751 @t3)) % 1.11/1.36 (define @t1530 () (=> tptp.setext @t1528)) % 1.11/1.36 (define @t1531 () (or @t635 (= @t792 @t19))) % 1.11/1.36 (define @t1532 () (forall @t70 @t1531)) % 1.11/1.36 (define @t1533 () (not @t1532)) % 1.11/1.36 (define @t1534 () (or @t795 @t793 @t1533)) % 1.11/1.36 (define @t1535 () (or @t793 @t1533)) % 1.11/1.36 (define @t1536 () (or @t1535 @t795)) % 1.11/1.36 (define @t1537 () (forall @t796 @t1536)) % 1.11/1.36 (define @t1538 () (@list @t792)) % 1.11/1.36 (define @t1539 () (forall @t1538 @t1536)) % 1.11/1.36 (define @t1540 () (forall @t1538 @t1535)) % 1.11/1.36 (define @t1541 () (or @t1540 @t795)) % 1.11/1.36 (define @t1542 () (=> @t1170 @t186)) % 1.11/1.36 (define @t1543 () (forall @t150 @t1542)) % 1.11/1.36 (define @t1544 () (=> tptp.exuE3e @t1530)) % 1.11/1.36 (define @t1545 () (=> tptp.notinemptyset @t1544)) % 1.11/1.36 (define @t1546 () (=> tptp.emptysetimpfalse @t1545)) % 1.11/1.36 (define @t1547 () (or @t173 @t173)) % 1.11/1.36 (define @t1548 () (=> tptp.emptysetE @t1546)) % 1.11/1.36 (define @t1549 () (or @t803 false)) % 1.11/1.36 (define @t1550 () (tptp.in @t4 @t1358)) % 1.11/1.36 (define @t1551 () (not @t1550)) % 1.11/1.36 (define @t1552 () (or @t173 @t1551 @t173)) % 1.11/1.36 (define @t1553 () (or @t1551 @t173)) % 1.11/1.36 (define @t1554 () (forall @t179 @t1553)) % 1.11/1.36 (define @t1555 () (forall @t9 @t1554)) % 1.11/1.36 (define @t1556 () (forall (@list @t4 @t173) @t1553)) % 1.11/1.36 (define @t1557 () (not @t175)) % 1.11/1.36 (define @t1558 () (or @t1557 @t173)) % 1.11/1.36 (define @t1559 () (=> tptp.prop2setE @t1548)) % 1.11/1.36 (define @t1560 () (=> @t1170 @t169)) % 1.11/1.36 (define @t1561 () (forall @t150 @t1560)) % 1.11/1.36 (define @t1562 () (=> tptp.exuE1 @t1559)) % 1.11/1.36 (define @t1563 () (not @t1521)) % 1.11/1.36 (define @t1564 () (or @t1563 @t659)) % 1.11/1.36 (define @t1565 () (not @t157)) % 1.11/1.36 (define @t1566 () (or @t1565 @t144)) % 1.11/1.36 (define @t1567 () (=> tptp.dsetconstrER @t1562)) % 1.11/1.36 (define @t1568 () (or @t1563 @t607)) % 1.11/1.36 (define @t1569 () (or @t1565 @t7)) % 1.11/1.36 (define @t1570 () (=> tptp.dsetconstrEL @t1567)) % 1.11/1.36 (define @t1571 () (or @t608 @t660 @t1521)) % 1.11/1.36 (define @t1572 () (or @t197 @t315 @t157)) % 1.11/1.36 (define @t1573 () (=> tptp.dsetconstrI @t1570)) % 1.11/1.36 (define @t1574 () (or @t635 (= @t813 @t19))) % 1.11/1.36 (define @t1575 () (forall @t70 @t1574)) % 1.11/1.36 (define @t1576 () (not @t1575)) % 1.11/1.36 (define @t1577 () (or @t815 @t814 @t1576)) % 1.11/1.36 (define @t1578 () (or @t814 @t1576)) % 1.11/1.36 (define @t1579 () (or @t1578 @t815)) % 1.11/1.36 (define @t1580 () (forall @t816 @t1579)) % 1.11/1.36 (define @t1581 () (@list @t813)) % 1.11/1.36 (define @t1582 () (forall @t1581 @t1579)) % 1.11/1.36 (define @t1583 () (forall @t1581 @t1578)) % 1.11/1.36 (define @t1584 () (or @t1583 @t815)) % 1.11/1.36 (define @t1585 () (_ @t143 @t1132)) % 1.11/1.36 (define @t1586 () (or @t661 @t1585)) % 1.11/1.36 (define @t1587 () (or @t661 @t147)) % 1.11/1.36 (define @t1588 () (=> @t1170 @t147)) % 1.11/1.36 (define @t1589 () (forall @t150 @t1588)) % 1.11/1.36 (define @t1590 () (=> tptp.descrp @t1573)) % 1.11/1.36 (define @t1591 () (and @t866 @t859 @t855 @t843)) % 1.11/1.36 (define @t1592 () (forall @t41 (not @t1591))) % 1.11/1.36 (define @t1593 () (not @t1592)) % 1.11/1.36 (define @t1594 () (@list @t838)) % 1.11/1.36 (define @t1595 () (forall @t1594 @t842)) % 1.11/1.36 (define @t1596 () (forall @t1594 @t839)) % 1.11/1.36 (define @t1597 () (or @t841 @t1596 @t837)) % 1.11/1.36 (define @t1598 () (forall @t9 @t834)) % 1.11/1.36 (define @t1599 () (or @t841 @t1598 @t837)) % 1.11/1.36 (define @t1600 () (not @t1598)) % 1.11/1.36 (define @t1601 () (and @t840 @t1600)) % 1.11/1.36 (define @t1602 () (not @t109)) % 1.11/1.36 (define @t1603 () (not @t110)) % 1.11/1.36 (define @t1604 () (or @t1603 @t1602 @t832 @t828)) % 1.11/1.36 (define @t1605 () (and @t110 @t109 @t831 @t827)) % 1.11/1.36 (define @t1606 () (forall @t112 (not @t1605))) % 1.11/1.36 (define @t1607 () (not @t1606)) % 1.11/1.36 (define @t1608 () (or @t821 @t820)) % 1.11/1.36 (define @t1609 () (or @t824 @t1608 @t822)) % 1.11/1.36 (define @t1610 () (forall @t826 @t1609)) % 1.11/1.36 (define @t1611 () (@list @t819)) % 1.11/1.36 (define @t1612 () (forall @t1611 @t1609)) % 1.11/1.36 (define @t1613 () (forall @t1611 @t1608)) % 1.11/1.36 (define @t1614 () (or @t824 @t1613 @t822)) % 1.11/1.36 (define @t1615 () (tptp.in @t19 @t93)) % 1.11/1.36 (define @t1616 () (forall @t70 (or (not @t1615) @t830))) % 1.11/1.36 (define @t1617 () (not @t100)) % 1.11/1.36 (define @t1618 () (or @t1617 @t1616 @t94)) % 1.11/1.36 (define @t1619 () (or @t1616 @t94)) % 1.11/1.36 (define @t1620 () (not @t97)) % 1.11/1.36 (define @t1621 () (or @t1620 @t96)) % 1.11/1.36 (define @t1622 () (not @t105)) % 1.11/1.36 (define @t1623 () (not @t96)) % 1.11/1.36 (define @t1624 () (or @t1623 @t1622)) % 1.11/1.36 (define @t1625 () (forall @t70 (not @t106))) % 1.11/1.36 (define @t1626 () (not @t1625)) % 1.11/1.36 (define @t1627 () (forall @t9 @t1602)) % 1.11/1.36 (define @t1628 () (not @t1627)) % 1.11/1.36 (define @t1629 () (or @t1602 @t7)) % 1.11/1.36 (define @t1630 () (or @t847 @t846)) % 1.11/1.36 (define @t1631 () (or @t850 @t849)) % 1.11/1.36 (define @t1632 () (or @t852 @t836 @t1631 @t1630)) % 1.11/1.36 (define @t1633 () (forall @t854 @t1632)) % 1.11/1.36 (define @t1634 () (forall (@list @t848 @t845) @t1632)) % 1.11/1.36 (define @t1635 () (forall (@list @t845) @t1630)) % 1.11/1.36 (define @t1636 () (forall (@list @t848) @t1631)) % 1.11/1.36 (define @t1637 () (or @t852 @t836 @t1636 @t1635)) % 1.11/1.36 (define @t1638 () (tptp.in @t4 @t95)) % 1.11/1.36 (define @t1639 () (forall @t9 (or (not @t1638) @t833))) % 1.11/1.36 (define @t1640 () (forall @t9 (or @t834 @t1638))) % 1.11/1.36 (define @t1641 () (not @t124)) % 1.11/1.36 (define @t1642 () (or @t1641 @t1603 @t1640 @t1639)) % 1.11/1.36 (define @t1643 () (or @t1640 @t1639)) % 1.11/1.36 (define @t1644 () (not @t120)) % 1.11/1.36 (define @t1645 () (or @t1644 @t109)) % 1.11/1.36 (define @t1646 () (or @t1602 @t120)) % 1.11/1.36 (define @t1647 () (or @t197 @t1482 @t858 @t129)) % 1.11/1.36 (define @t1648 () (=> @t857 @t129)) % 1.11/1.36 (define @t1649 () (or @t1641 @t130)) % 1.11/1.36 (define @t1650 () (or @t863 @t862)) % 1.11/1.36 (define @t1651 () (or @t852 @t1650)) % 1.11/1.36 (define @t1652 () (forall @t865 @t1651)) % 1.11/1.36 (define @t1653 () (@list @t861)) % 1.11/1.36 (define @t1654 () (forall @t1653 @t1651)) % 1.11/1.36 (define @t1655 () (forall @t1653 @t1650)) % 1.11/1.36 (define @t1656 () (or @t852 @t1655)) % 1.11/1.36 (define @t1657 () (or @t1641 @t840)) % 1.11/1.36 (define @t1658 () (=> tptp.wellorderingAx @t1590)) % 1.11/1.36 (define @t1659 () (@list @t874)) % 1.11/1.36 (define @t1660 () (forall @t1659 @t876)) % 1.11/1.36 (define @t1661 () (forall @t1659 @t875)) % 1.11/1.36 (define @t1662 () (or @t1661 @t873)) % 1.11/1.36 (define @t1663 () (or @t1446 @t872)) % 1.11/1.36 (define @t1664 () (and @t39 @t871)) % 1.11/1.36 (define @t1665 () (forall @t41 (not @t1664))) % 1.11/1.36 (define @t1666 () (not @t1665)) % 1.11/1.36 (define @t1667 () (or @t434 @t197)) % 1.11/1.36 (define @t1668 () (forall @t9 (not @t84))) % 1.11/1.36 (define @t1669 () (not @t1668)) % 1.11/1.36 (define @t1670 () (=> tptp.foundationAx @t1658)) % 1.11/1.36 (define @t1671 () (= @t6 @t880)) % 1.11/1.36 (define @t1672 () (not @t68)) % 1.11/1.36 (define @t1673 () (or @t1482 @t1672)) % 1.11/1.36 (define @t1674 () (forall @t70 (not @t69))) % 1.11/1.36 (define @t1675 () (not @t1674)) % 1.11/1.36 (define @t1676 () (or @t197 @t889)) % 1.11/1.36 (define @t1677 () (_ @t75 @t883)) % 1.11/1.36 (define @t1678 () (not @t1677)) % 1.11/1.36 (define @t1679 () (or @t1678 @t886)) % 1.11/1.36 (define @t1680 () (not @t76)) % 1.11/1.36 (define @t1681 () (or @t1680 @t884)) % 1.11/1.36 (define @t1682 () (_ @t77 @t19)) % 1.11/1.36 (define @t1683 () (not @t1682)) % 1.11/1.36 (define @t1684 () (or @t1683 @t884)) % 1.11/1.36 (define @t1685 () (forall @t70 @t1684)) % 1.11/1.36 (define @t1686 () (not @t1685)) % 1.11/1.36 (define @t1687 () (_ @t77 @t883)) % 1.11/1.36 (define @t1688 () (not @t1687)) % 1.11/1.36 (define @t1689 () (or @t1688 @t1686)) % 1.11/1.36 (define @t1690 () (forall @t888 @t1689)) % 1.11/1.36 (define @t1691 () (not @t1690)) % 1.11/1.36 (define @t1692 () (not (_ @t143 @t883))) % 1.11/1.36 (define @t1693 () (or @t635 (= @t883 @t19))) % 1.11/1.36 (define @t1694 () (forall @t70 @t1693)) % 1.11/1.36 (define @t1695 () (not @t1694)) % 1.11/1.36 (define @t1696 () (or @t1692 @t1695)) % 1.11/1.36 (define @t1697 () (forall @t888 @t1696)) % 1.11/1.36 (define @t1698 () (not @t1697)) % 1.11/1.36 (define @t1699 () (=> @t7 (_ @t1154 @t77))) % 1.11/1.36 (define @t1700 () (forall @t9 @t1699)) % 1.11/1.36 (define @t1701 () (=> @t1700 @t74)) % 1.11/1.36 (define @t1702 () (forall @t81 @t1701)) % 1.11/1.36 (define @t1703 () (=> tptp.replAx @t1670)) % 1.11/1.36 (define @t1704 () (or @t895 @t894)) % 1.11/1.36 (define @t1705 () (or @t903 @t901 @t1704)) % 1.11/1.36 (define @t1706 () (forall @t905 @t1705)) % 1.11/1.36 (define @t1707 () (@list @t893)) % 1.11/1.36 (define @t1708 () (forall @t1707 @t1705)) % 1.11/1.36 (define @t1709 () (forall @t1707 @t1704)) % 1.11/1.36 (define @t1710 () (or @t903 @t901 @t1709)) % 1.11/1.36 (define @t1711 () (forall @t9 (or @t899 @t607))) % 1.11/1.36 (define @t1712 () (not @t61)) % 1.11/1.36 (define @t1713 () (or @t1712 @t901 @t1711)) % 1.11/1.36 (define @t1714 () (and @t61 @t900)) % 1.11/1.36 (define @t1715 () (not @t54)) % 1.11/1.36 (define @t1716 () (or @t1715 @t7)) % 1.11/1.36 (define @t1717 () (_ tptp.in @t896)) % 1.11/1.36 (define @t1718 () (or @t1715 @t197 @t58)) % 1.11/1.36 (define @t1719 () (=> tptp.omegaIndAx @t1703)) % 1.11/1.36 (define @t1720 () (or @t1715 @t53)) % 1.11/1.36 (define @t1721 () (=> tptp.omegaSAx @t1719)) % 1.11/1.36 (define @t1722 () (=> tptp.omega0Ax @t1721)) % 1.11/1.36 (define @t1723 () (= @t44 @t739)) % 1.11/1.36 (define @t1724 () (forall @t41 (not @t40))) % 1.11/1.36 (define @t1725 () (not @t1724)) % 1.11/1.36 (define @t1726 () (=> tptp.setunionAx @t1722)) % 1.11/1.36 (define @t1727 () (= @t35 @t751)) % 1.11/1.36 (define @t1728 () (=> tptp.powersetAx @t1726)) % 1.11/1.36 (define @t1729 () (= @t26 @t1467)) % 1.11/1.36 (define @t1730 () (=> tptp.setadjoinAx @t1728)) % 1.11/1.36 (define @t1731 () (=> tptp.emptysetAx @t1730)) % 1.11/1.36 (define @t1732 () (=> tptp.setextAx @t1731)) % 1.11/1.36 (define @t1733 () (or @t438 @t482)) % 1.11/1.36 (define @t1734 () (@quantifiers_skolemize @t587 1)) % 1.11/1.36 (define @t1735 () (tptp.powerset @t1734)) % 1.11/1.36 (define @t1736 () (@quantifiers_skolemize @t587 0)) % 1.11/1.36 (define @t1737 () (tptp.powerset @t1736)) % 1.11/1.36 (define @t1738 () (forall @t9 (or (not (tptp.in @t4 @t1737)) (tptp.in @t4 @t1735)))) % 1.11/1.36 (define @t1739 () (@quantifiers_skolemize @t1738 0)) % 1.11/1.36 (define @t1740 () (tptp.subset @t1737 @t1735)) % 1.11/1.36 (define @t1741 () (tptp.subset @t1736 @t1734)) % 1.11/1.36 (define @t1742 () (not @t1741)) % 1.11/1.36 (define @t1743 () (or @t1742 @t1740)) % 1.11/1.36 (define @t1744 () (@list true)) % 1.11/1.36 (define @t1745 () (@list @t1743)) % 1.11/1.36 (define @t1746 () (not @t1738)) % 1.11/1.36 (define @t1747 () (or @t1746 @t1740)) % 1.11/1.36 (define @t1748 () (@list true false)) % 1.11/1.36 (define @t1749 () (tptp.in @t1739 @t1737)) % 1.11/1.36 (define @t1750 () (tptp.in @t1739 @t1735)) % 1.11/1.36 (define @t1751 () (not @t1749)) % 1.11/1.36 (define @t1752 () (or @t1751 @t1750)) % 1.11/1.36 (define @t1753 () (@list @t1752)) % 1.11/1.36 (define @t1754 () (tptp.subset @t1739 @t1736)) % 1.11/1.36 (define @t1755 () (or @t1751 @t1754)) % 1.11/1.36 (define @t1756 () (tptp.subset @t1739 @t1734)) % 1.11/1.36 (define @t1757 () (not @t1756)) % 1.11/1.36 (define @t1758 () (or @t1757 @t1750)) % 1.11/1.36 (define @t1759 () (not @t1754)) % 1.11/1.36 (define @t1760 () (or @t1759 @t1742 @t1756)) % 1.11/1.36 (define @t1761 () (not @t1760)) % 1.11/1.36 (assume @p1 @t14) % 1.11/1.36 (assume @p2 @t18) % 1.11/1.36 (assume @p3 @t30) % 1.11/1.36 (assume @p4 @t38) % 1.11/1.36 (assume @p5 @t48) % 1.11/1.36 (assume @p6 (= tptp.omega0Ax @t50)) % 1.11/1.36 (assume @p7 @t56) % 1.11/1.36 (assume @p8 @t66) % 1.11/1.36 (assume @p9 @t83) % 1.11/1.36 (assume @p10 @t92) % 1.11/1.36 (assume @p11 @t142) % 1.11/1.36 (assume @p12 @t152) % 1.11/1.36 (assume @p13 @t161) % 1.11/1.36 (assume @p14 @t163) % 1.11/1.36 (assume @p15 @t165) % 1.11/1.36 (assume @p16 @t172) % 1.11/1.36 (assume @p17 @t178) % 1.11/1.36 (assume @p18 @t183) % 1.11/1.36 (assume @p19 @t185) % 1.11/1.36 (assume @p20 (= tptp.notinemptyset @t17)) % 1.11/1.36 (assume @p21 @t189) % 1.11/1.36 (assume @p22 @t195) % 1.11/1.36 (assume @p23 @t201) % 1.11/1.36 (assume @p24 (= tptp.noeltsimpempty @t200)) % 1.11/1.36 (assume @p25 @t204) % 1.11/1.36 (assume @p26 @t208) % 1.11/1.36 (assume @p27 @t212) % 1.11/1.36 (assume @p28 @t215) % 1.11/1.36 (assume @p29 @t219) % 1.11/1.36 (assume @p30 (= tptp.emptyinunitempty @t221)) % 1.11/1.36 (assume @p31 @t223) % 1.11/1.36 (assume @p32 @t231) % 1.11/1.36 (assume @p33 @t234) % 1.11/1.36 (assume @p34 @t238) % 1.11/1.36 (assume @p35 @t241) % 1.11/1.36 (assume @p36 @t244) % 1.11/1.36 (assume @p37 (= tptp.emptyInPowerset @t243)) % 1.11/1.36 (assume @p38 @t247) % 1.11/1.36 (assume @p39 @t251) % 1.11/1.36 (assume @p40 @t258) % 1.11/1.36 (assume @p41 @t262) % 1.11/1.36 (assume @p42 @t268) % 1.11/1.36 (assume @p43 @t273) % 1.11/1.36 (assume @p44 @t278) % 1.11/1.36 (assume @p45 @t284) % 1.11/1.36 (assume @p46 @t286) % 1.11/1.36 (assume @p47 @t288) % 1.11/1.36 (assume @p48 @t297) % 1.11/1.36 (assume @p49 @t300) % 1.11/1.36 (assume @p50 @t303) % 1.11/1.36 (assume @p51 @t311) % 1.11/1.36 (assume @p52 @t314) % 1.11/1.36 (assume @p53 @t322) % 1.11/1.36 (assume @p54 @t327) % 1.11/1.36 (assume @p55 @t330) % 1.11/1.36 (assume @p56 @t333) % 1.11/1.36 (assume @p57 @t336) % 1.11/1.36 (assume @p58 @t339) % 1.11/1.36 (assume @p59 (= tptp.notdexE @t329)) % 1.11/1.36 (assume @p60 (= tptp.notdallE @t321)) % 1.11/1.36 (assume @p61 @t342) % 1.11/1.36 (assume @p62 @t347) % 1.11/1.36 (assume @p63 @t350) % 1.11/1.36 (assume @p64 @t356) % 1.11/1.36 (assume @p65 @t361) % 1.11/1.36 (assume @p66 @t364) % 1.11/1.36 (assume @p67 @t377) % 1.11/1.36 (assume @p68 @t379) % 1.11/1.36 (assume @p69 @t389) % 1.11/1.36 (assume @p70 @t393) % 1.11/1.36 (assume @p71 @t397) % 1.11/1.36 (assume @p72 @t398) % 1.11/1.36 (assume @p73 @t399) % 1.11/1.36 (assume @p74 @t406) % 1.11/1.36 (assume @p75 @t417) % 1.11/1.36 (assume @p76 @t422) % 1.11/1.36 (assume @p77 @t426) % 1.11/1.36 (assume @p78 @t428) % 1.11/1.36 (assume @p79 (= tptp.subsetI2 @t421)) % 1.11/1.36 (assume @p80 @t431) % 1.11/1.36 (assume @p81 @t433) % 1.11/1.36 (assume @p82 @t437) % 1.11/1.36 (assume @p83 @t441) % 1.11/1.36 (assume @p84 @t444) % 1.11/1.36 (assume @p85 @t447) % 1.11/1.36 (assume @p86 @t450) % 1.11/1.36 (assume @p87 @t456) % 1.11/1.36 (assume @p88 @t460) % 1.11/1.36 (assume @p89 @t464) % 1.11/1.36 (assume @p90 @t468) % 1.11/1.36 (assume @p91 @t471) % 1.11/1.36 (assume @p92 @t474) % 1.11/1.36 (assume @p93 @t476) % 1.11/1.36 (assume @p94 @t478) % 1.11/1.36 (assume @p95 @t481) % 1.11/1.36 (assume @p96 @t579) % 1.11/1.36 (assume @p97 true) % 1.11/1.36 (step @p98 (= tptp.exu @t580) :rule refl :args (@t580)) % 1.11/1.36 (step @p99 (= tptp.nonempty @t581) :rule refl :args (@t581)) % 1.11/1.36 (step @p100 :rule refl :args (@t674)) % 1.11/1.36 (step @p101 :rule skolem_intro :args ((@purify true))) % 1.11/1.36 (step @p102 :rule symm :premises (@p101)) % 1.11/1.36 (step @p103 :rule cong :premises (@p102) :args (@t675)) % 1.11/1.36 (step @p104 :rule cong :premises (@p103) :args (@t676)) % 1.11/1.36 (step @p105 :rule cong :premises (@p104 @p100) :args (@t677)) % 1.11/1.36 (step @p106 :rule refl :args (tptp.emptyset)) % 1.11/1.36 (step @p107 :rule cong :premises (@p106 @p103) :args (@t678)) % 1.11/1.36 (step @p108 :rule cong :premises (@p107 @p105) :args (@t679)) % 1.11/1.36 (step @p109 :rule refl :args (@t682)) % 1.11/1.36 (step @p110 :rule cong :premises (@p109 @p108) :args (@t683)) % 1.11/1.36 (step @p111 :rule refl :args (@t691)) % 1.11/1.36 (step @p112 :rule cong :premises (@p111 @p110) :args (@t692)) % 1.11/1.36 (step @p113 :rule refl :args (@t696)) % 1.11/1.36 (step @p114 :rule cong :premises (@p113 @p112) :args (@t697)) % 1.11/1.36 (step @p115 :rule refl :args (@t699)) % 1.11/1.36 (step @p116 :rule cong :premises (@p115 @p114) :args (@t700)) % 1.11/1.36 (step @p117 :rule refl :args (@t704)) % 1.11/1.36 (step @p118 :rule cong :premises (@p117 @p116) :args (@t705)) % 1.11/1.36 (step @p119 :rule refl :args (@t710)) % 1.11/1.36 (step @p120 :rule cong :premises (@p119 @p118) :args (@t711)) % 1.11/1.36 (step @p121 :rule refl :args (@t713)) % 1.11/1.36 (step @p122 :rule cong :premises (@p121 @p120) :args (@t714)) % 1.11/1.36 (step @p123 :rule refl :args (@t715)) % 1.11/1.36 (step @p124 :rule cong :premises (@p123 @p122) :args (@t716)) % 1.11/1.36 (step @p125 :rule refl :args (@t717)) % 1.11/1.36 (step @p126 :rule cong :premises (@p125 @p124) :args (@t718)) % 1.11/1.36 (step @p127 :rule refl :args (@t721)) % 1.11/1.36 (step @p128 :rule cong :premises (@p127 @p126) :args (@t722)) % 1.11/1.36 (step @p129 :rule refl :args (@t729)) % 1.11/1.36 (step @p130 :rule cong :premises (@p129 @p128) :args (@t730)) % 1.11/1.36 (step @p131 :rule refl :args (@t734)) % 1.11/1.36 (step @p132 :rule cong :premises (@p131 @p130) :args (@t735)) % 1.11/1.36 (step @p133 :rule refl :args (@t741)) % 1.11/1.36 (step @p134 :rule cong :premises (@p133 @p132) :args (@t742)) % 1.11/1.36 (step @p135 :rule refl :args (@t743)) % 1.11/1.36 (step @p136 :rule cong :premises (@p135 @p134) :args (@t744)) % 1.11/1.36 (step @p137 :rule refl :args (@t745)) % 1.11/1.36 (step @p138 :rule cong :premises (@p137 @p136) :args (@t746)) % 1.11/1.36 (step @p139 :rule refl :args (@t748)) % 1.11/1.36 (step @p140 :rule cong :premises (@p139 @p138) :args (@t749)) % 1.11/1.36 (step @p141 :rule cong :premises (@p139 @p140) :args (@t750)) % 1.11/1.36 (step @p142 :rule refl :args (@t753)) % 1.11/1.36 (step @p143 :rule cong :premises (@p142 @p141) :args (@t754)) % 1.11/1.36 (step @p144 :rule refl :args (@t758)) % 1.11/1.36 (step @p145 :rule cong :premises (@p144 @p143) :args (@t759)) % 1.11/1.36 (step @p146 :rule refl :args (@t762)) % 1.11/1.36 (step @p147 :rule cong :premises (@p146 @p145) :args (@t763)) % 1.11/1.36 (step @p148 :rule cong :premises (@p146 @p147) :args (@t764)) % 1.11/1.36 (step @p149 :rule refl :args (@t766)) % 1.11/1.36 (step @p150 :rule cong :premises (@p149 @p148) :args (@t767)) % 1.11/1.36 (step @p151 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 1.11/1.36 (step @p152 :rule refl :args (@t768)) % 1.11/1.36 (step @p153 :rule refl :args (tptp.emptyset)) % 1.11/1.36 (step @p154 :rule cong :premises (@p153 @p152) :args (@t769)) % 1.11/1.36 (step @p155 :rule trans :premises (@p154 @p151)) % 1.11/1.36 (step @p156 :rule refl :args (@t49)) % 1.11/1.36 (step @p157 :rule ho_cong :premises (@p156 @p152)) % 1.11/1.36 (step @p158 :rule cong :premises (@p157 @p155) :args ((= (_ @t49 @t768) @t769))) % 1.11/1.36 (step @p159 :rule symm :premises (@p158)) % 1.11/1.36 (step @p160 :rule refl :args (@t221)) % 1.11/1.36 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 1.11/1.36 (step @p162 :rule refl :args (@t220)) % 1.11/1.36 (step @p163 :rule cong :premises (@p162 @p152) :args ((= @t220 @t768))) % 1.11/1.36 (step @p164 :rule symm :premises (@p163)) % 1.11/1.36 (step @p165 :rule eq_resolve :premises (@p162 @p164)) % 1.11/1.36 (step @p166 :rule refl :args (@t49)) % 1.11/1.36 (step @p167 :rule ho_cong :premises (@p166 @p165)) % 1.11/1.36 (step @p168 :rule trans :premises (@p167 @p161)) % 1.11/1.36 (step @p169 :rule cong :premises (@p168 @p150) :args (@t770)) % 1.11/1.36 (step @p170 :rule refl :args (@t773)) % 1.11/1.36 (step @p171 :rule cong :premises (@p170 @p169) :args (@t774)) % 1.11/1.36 (step @p172 :rule refl :args (@t778)) % 1.11/1.36 (step @p173 :rule cong :premises (@p172 @p171) :args (@t779)) % 1.11/1.36 (step @p174 :rule refl :args (@t780)) % 1.11/1.36 (step @p175 :rule cong :premises (@p174 @p173) :args (@t781)) % 1.11/1.36 (step @p176 :rule cong :premises (@p127 @p175) :args (@t782)) % 1.11/1.36 (step @p177 :rule refl :args (@t784)) % 1.11/1.36 (step @p178 :rule cong :premises (@p177 @p176) :args (@t785)) % 1.11/1.36 (step @p179 :rule refl :args (@t786)) % 1.11/1.36 (step @p180 :rule cong :premises (@p179 @p178) :args (@t787)) % 1.11/1.36 (step @p181 :rule cong :premises (@p179 @p180) :args (@t788)) % 1.11/1.36 (step @p182 :rule refl :args (@t790)) % 1.11/1.36 (step @p183 :rule cong :premises (@p182 @p181) :args (@t791)) % 1.11/1.36 (step @p184 :rule refl :args (@t797)) % 1.11/1.36 (step @p185 :rule cong :premises (@p184 @p183) :args (@t798)) % 1.11/1.36 (step @p186 :rule refl :args (@t799)) % 1.11/1.36 (step @p187 :rule cong :premises (@p186 @p185) :args (@t800)) % 1.11/1.36 (step @p188 :rule cong :premises (@p186 @p187) :args (@t801)) % 1.11/1.36 (step @p189 :rule cong :premises (@p186 @p188) :args (@t802)) % 1.11/1.36 (step @p190 :rule refl :args (@t804)) % 1.11/1.36 (step @p191 :rule cong :premises (@p190 @p189) :args (@t805)) % 1.11/1.36 (step @p192 :rule refl :args (@t807)) % 1.11/1.36 (step @p193 :rule cong :premises (@p192 @p191) :args (@t808)) % 1.11/1.36 (step @p194 :rule refl :args (@t809)) % 1.11/1.36 (step @p195 :rule cong :premises (@p194 @p193) :args (@t810)) % 1.11/1.36 (step @p196 :rule refl :args (@t811)) % 1.11/1.36 (step @p197 :rule cong :premises (@p196 @p195) :args (@t812)) % 1.11/1.36 (step @p198 :rule refl :args (@t817)) % 1.11/1.36 (step @p199 :rule cong :premises (@p198 @p197) :args (@t818)) % 1.11/1.36 (step @p200 :rule refl :args (@t869)) % 1.11/1.36 (step @p201 :rule cong :premises (@p200 @p199) :args (@t870)) % 1.11/1.36 (step @p202 :rule refl :args (@t877)) % 1.11/1.36 (step @p203 :rule cong :premises (@p202 @p201) :args (@t878)) % 1.11/1.36 (step @p204 :rule refl :args (@t891)) % 1.11/1.36 (step @p205 :rule cong :premises (@p204 @p203) :args (@t892)) % 1.11/1.36 (step @p206 :rule refl :args (@t906)) % 1.11/1.36 (step @p207 :rule cong :premises (@p206 @p205) :args (@t907)) % 1.11/1.36 (step @p208 :rule refl :args (@t909)) % 1.11/1.36 (step @p209 :rule cong :premises (@p208 @p207) :args (@t910)) % 1.11/1.36 (step @p210 :rule refl :args (@t911)) % 1.11/1.36 (step @p211 :rule refl :args (@t50)) % 1.11/1.36 (step @p212 :rule cong :premises (@p211 @p210) :args ((= @t50 @t911))) % 1.11/1.36 (step @p213 :rule symm :premises (@p212)) % 1.11/1.36 (step @p214 :rule eq_resolve :premises (@p211 @p213)) % 1.11/1.36 (step @p215 :rule cong :premises (@p214 @p209) :args (@t912)) % 1.11/1.36 (step @p216 :rule refl :args (@t913)) % 1.11/1.36 (step @p217 :rule cong :premises (@p216 @p215) :args (@t914)) % 1.11/1.36 (step @p218 :rule refl :args (@t915)) % 1.11/1.36 (step @p219 :rule cong :premises (@p218 @p217) :args (@t916)) % 1.11/1.36 (step @p220 :rule refl :args (@t918)) % 1.11/1.36 (step @p221 :rule cong :premises (@p220 @p219) :args (@t919)) % 1.11/1.36 (step @p222 :rule cong :premises (@p186 @p221) :args (@t920)) % 1.11/1.36 (step @p223 :rule refl :args (@t922)) % 1.11/1.36 (step @p224 :rule cong :premises (@p223 @p222) :args (@t923)) % 1.11/1.36 (step @p225 :rule cong :premises (@p224) :args ((not @t923))) % 1.11/1.36 (step @p226 :rule bool-impl-true2 :args (@t603)) % 1.11/1.36 (step @p227 :rule refl :args (@t605)) % 1.11/1.36 (step @p228 :rule cong :premises (@p227 @p226) :args (@t924)) % 1.11/1.36 (step @p229 :rule refl :args (@t609)) % 1.11/1.36 (step @p230 :rule cong :premises (@p229 @p228) :args (@t925)) % 1.11/1.36 (step @p231 :rule refl :args (@t610)) % 1.11/1.36 (step @p232 :rule cong :premises (@p231 @p230) :args (@t926)) % 1.11/1.36 (step @p233 :rule refl :args (@t611)) % 1.11/1.36 (step @p234 :rule cong :premises (@p233 @p232) :args (@t927)) % 1.11/1.36 (step @p235 :rule refl :args (@t613)) % 1.11/1.36 (step @p236 :rule cong :premises (@p235 @p234) :args (@t928)) % 1.11/1.36 (step @p237 :rule refl :args (@t616)) % 1.11/1.36 (step @p238 :rule cong :premises (@p237 @p236) :args (@t929)) % 1.11/1.36 (step @p239 :rule cong :premises (@p227 @p238) :args (@t930)) % 1.11/1.36 (step @p240 :rule cong :premises (@p227 @p239) :args (@t931)) % 1.11/1.36 (step @p241 :rule cong :premises (@p237 @p240) :args (@t932)) % 1.11/1.36 (step @p242 :rule refl :args (@t628)) % 1.11/1.36 (step @p243 :rule cong :premises (@p242 @p241) :args (@t933)) % 1.11/1.36 (step @p244 :rule refl :args (@t643)) % 1.11/1.36 (step @p245 :rule cong :premises (@p244 @p243) :args (@t934)) % 1.11/1.36 (step @p246 :rule refl :args (@t652)) % 1.11/1.36 (step @p247 :rule cong :premises (@p246 @p245) :args (@t935)) % 1.11/1.36 (step @p248 :rule bool-impl-true2 :args (@t935)) % 1.11/1.36 (step @p249 :rule trans :premises (@p248 @p247)) % 1.11/1.36 (step @p250 :rule bool-impl-true2 :args (@t935)) % 1.11/1.36 (step @p251 :rule refl :args (true)) % 1.11/1.36 (step @p252 :rule cong :premises (@p251 @p250) :args (@t936)) % 1.11/1.36 (step @p253 :rule trans :premises (@p252 @p249)) % 1.11/1.36 (step @p254 :rule cong :premises (@p251 @p250) :args (@t936)) % 1.11/1.36 (step @p255 :rule cong :premises (@p251 @p254) :args (@t937)) % 1.11/1.36 (step @p256 :rule trans :premises (@p255 @p253)) % 1.11/1.36 (step @p257 :rule cong :premises (@p251 @p254) :args (@t937)) % 1.11/1.36 (step @p258 :rule cong :premises (@p251 @p257) :args (@t938)) % 1.11/1.36 (step @p259 :rule trans :premises (@p258 @p256)) % 1.11/1.36 (step @p260 :rule cong :premises (@p251 @p257) :args (@t938)) % 1.11/1.36 (step @p261 :rule cong :premises (@p251 @p260) :args (@t939)) % 1.11/1.36 (step @p262 :rule trans :premises (@p261 @p259)) % 1.11/1.36 (step @p263 :rule refl :args (@t664)) % 1.11/1.36 (step @p264 :rule cong :premises (@p263 @p262) :args (@t940)) % 1.11/1.36 (step @p265 :rule cong :premises (@p246 @p264) :args (@t941)) % 1.11/1.36 (step @p266 :rule bool-impl-true2 :args (@t941)) % 1.11/1.36 (step @p267 :rule trans :premises (@p266 @p265)) % 1.11/1.36 (step @p268 :rule bool-impl-true2 :args (@t941)) % 1.11/1.36 (step @p269 :rule cong :premises (@p251 @p268) :args (@t942)) % 1.11/1.36 (step @p270 :rule trans :premises (@p269 @p267)) % 1.11/1.36 (step @p271 :rule refl :args (@t667)) % 1.11/1.36 (step @p272 :rule cong :premises (@p271 @p270) :args (@t943)) % 1.11/1.36 (step @p273 :rule refl :args (@t673)) % 1.11/1.36 (step @p274 :rule cong :premises (@p273 @p272) :args (@t944)) % 1.11/1.36 (step @p275 :rule bool-impl-true2 :args (@t944)) % 1.11/1.36 (step @p276 :rule trans :premises (@p275 @p274)) % 1.11/1.36 (step @p277 :rule bool-impl-true2 :args (@t944)) % 1.11/1.36 (step @p278 :rule cong :premises (@p251 @p277) :args (@t945)) % 1.11/1.36 (step @p279 :rule trans :premises (@p278 @p276)) % 1.11/1.36 (step @p280 :rule cong :premises (@p251 @p277) :args (@t945)) % 1.11/1.36 (step @p281 :rule cong :premises (@p251 @p280) :args 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:rule nary_cong :premises (@p566 @p1424 @p1423) :args (@t1293)) % 1.11/1.37 (step @p1426 :rule trans :premises (@p1425 @p1422)) % 1.11/1.37 (step @p1427 :rule cong :premises (@p1426) :args ((forall @t1289 @t1293))) % 1.11/1.37 (step @p1428 :rule trans :premises (@p1427 @p1421)) % 1.11/1.37 (step @p1429 :rule quant-var-elim-eq :args ((= (forall @t64 @t1295) @t1293))) % 1.11/1.37 (step @p1430 :rule aci_norm :args ((= @t1296 @t1295))) % 1.11/1.37 (step @p1431 :rule cong :premises (@p1430) :args (@t1297)) % 1.11/1.37 (step @p1432 :rule trans :premises (@p1431 @p1429)) % 1.11/1.37 (step @p1433 :rule cong :premises (@p1432) :args (@t1298)) % 1.11/1.37 (step @p1434 :rule quant-merge-prenex :args ((= @t1298 @t1299))) % 1.11/1.37 (step @p1435 :rule symm :premises (@p1434)) % 1.11/1.37 (step @p1436 :rule quant_var_reordering :args ((= (forall @t1300 @t1296) @t1299))) % 1.11/1.37 (step @p1437 :rule trans :premises (@p1436 @p1435 @p1433)) % 1.11/1.37 (step @p1438 :rule trans :premises (@p1437 @p1428)) % 1.11/1.37 (step @p1439 :rule aci_norm :args ((= @t1302 @t1296))) % 1.11/1.37 (step @p1440 :rule cong :premises (@p1439) :args (@t1303)) % 1.11/1.37 (step @p1441 :rule trans :premises (@p1440 @p1438)) % 1.11/1.37 (step @p1442 :rule quant-merge-prenex :args ((= (forall @t12 @t1305) @t1303))) % 1.11/1.37 (step @p1443 :rule alpha_equiv :args (@t1306 (@list @t1288) @t1275)) % 1.11/1.37 (step @p1444 :rule nary_cong :premises (@p583 @p1443) :args (@t1307)) % 1.11/1.37 (step @p1445 :rule quant-miniscope-or :args ((= @t1305 @t1307))) % 1.11/1.37 (step @p1446 :rule trans :premises (@p1445 @p1444)) % 1.11/1.37 (step @p1447 :rule symm :premises (@p1446)) % 1.11/1.37 (step @p1448 :rule cong :premises (@p1447) :args ((forall @t12 (or @t442 @t1309)))) % 1.11/1.37 (step @p1449 :rule trans :premises (@p1448 @p1442)) % 1.11/1.37 (step @p1450 :rule trans :premises (@p1449 @p1441)) % 1.11/1.37 (step @p1451 :rule bool-impl-elim :args (@t3 @t1309)) % 1.11/1.37 (step @p1452 :rule cong :premises (@p1451) :args ((forall @t12 (=> @t3 @t1309)))) % 1.11/1.37 (step @p1453 :rule trans :premises (@p1452 @p1450)) % 1.11/1.37 (step @p1454 :rule aci_norm :args ((= (or false @t765 @t1107) @t1308))) % 1.11/1.37 (step @p1455 :rule refl :args (@t1107)) % 1.11/1.37 (step @p1456 :rule refl :args (@t765)) % 1.11/1.37 (step @p1457 :rule nary_cong :premises (@p1067 @p1456 @p1455) :args (@t1310)) % 1.11/1.37 (step @p1458 :rule trans :premises (@p1457 @p1454)) % 1.11/1.37 (step @p1459 :rule cong :premises (@p1458) :args ((forall @t70 @t1310))) % 1.11/1.37 (step @p1460 :rule quant-var-elim-eq :args ((= (forall @t9 @t1311) @t1310))) % 1.11/1.37 (step @p1461 :rule aci_norm :args ((= @t1312 @t1311))) % 1.11/1.37 (step @p1462 :rule cong :premises (@p1461) :args (@t1313)) % 1.11/1.37 (step @p1463 :rule trans :premises (@p1462 @p1460)) % 1.11/1.37 (step @p1464 :rule cong :premises (@p1463) :args (@t1314)) % 1.11/1.37 (step @p1465 :rule quant-merge-prenex :args ((= @t1314 @t1315))) % 1.11/1.37 (step 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:args (@t353)) % 1.11/1.37 (step @p1480 :rule trans :premises (@p1479 @p1472)) % 1.11/1.37 (step @p1481 :rule cong :premises (@p917 @p1480) :args (@t354)) % 1.11/1.37 (step @p1482 :rule cong :premises (@p1481) :args (@t355)) % 1.11/1.37 (step @p1483 :rule trans :premises (@p1482 @p1453)) % 1.11/1.37 (step @p1484 :rule refl :args (tptp.inCongP)) % 1.11/1.37 (step @p1485 :rule cong :premises (@p1484 @p1483) :args (@t356)) % 1.11/1.37 (step @p1486 :rule trans :premises (@p1485 @p1416)) % 1.11/1.37 (step @p1487 :rule eq_resolve :premises (@p64 @p1486)) % 1.11/1.37 (step @p1488 :rule eq_resolve :premises (@p1487 @p1417)) % 1.11/1.37 (step @p1489 :rule cong :premises (@p1488 @p1415) :args (@t1317)) % 1.11/1.37 (step @p1490 :rule refl :args (@t662)) % 1.11/1.37 (step @p1491 :rule eq-symm :args (@t665 @t19)) % 1.11/1.37 (step @p1492 :rule refl :args (@t634)) % 1.11/1.37 (step @p1493 :rule cong :premises (@p1492 @p1491) :args ((= @t634 @t1318))) % 1.11/1.37 (step @p1494 :rule eq-symm :args 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:rule trans :premises (@p1507 @p1500)) % 1.11/1.37 (step @p1509 :rule trans :premises (@p1508 @p1499)) % 1.11/1.37 (step @p1510 :rule bool-double-not-elim :args (@t726)) % 1.11/1.37 (step @p1511 :rule nary_cong :premises (@p1510 @p1501) :args ((or (not @t727) @t662))) % 1.11/1.37 (step @p1512 :rule bool-impl-elim :args (@t727 @t662)) % 1.11/1.37 (step @p1513 :rule trans :premises (@p1512 @p1511)) % 1.11/1.37 (step @p1514 :rule cong :premises (@p1513) :args ((forall @t150 (=> @t727 @t662)))) % 1.11/1.37 (step @p1515 :rule trans :premises (@p1514 @p1509)) % 1.11/1.37 (step @p1516 :rule exists-elim :args ((= (exists @t9 @t725) @t727))) % 1.11/1.37 (step @p1517 :rule eq-symm :args (@t634 @t129)) % 1.11/1.37 (step @p1518 :rule cong :premises (@p1517) :args ((forall @t70 (= @t634 @t129)))) % 1.11/1.37 (step @p1519 :rule cong :premises (@p1044 @p1016) :args (@t1327)) % 1.11/1.37 (step @p1520 :rule cong :premises (@p1519) :args ((forall @t70 @t1327))) % 1.11/1.37 (step @p1521 :rule trans 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(step @p1550 :rule aci_norm :args ((= (or @t794 (or @t669 @t662)) @t1335))) % 1.11/1.37 (step @p1551 :rule bool-impl-elim :args (@t668 @t662)) % 1.11/1.37 (step @p1552 :rule refl :args (@t794)) % 1.11/1.37 (step @p1553 :rule nary_cong :premises (@p1552 @p1551) :args ((or @t794 @t1336))) % 1.11/1.37 (step @p1554 :rule trans :premises (@p1553 @p1550)) % 1.11/1.37 (step @p1555 :rule refl :args (@t1336)) % 1.11/1.37 (step @p1556 :rule bool-double-not-elim :args (@t794)) % 1.11/1.37 (step @p1557 :rule nary_cong :premises (@p1556 @p1555) :args ((or (not @t795) @t1336))) % 1.11/1.37 (step @p1558 :rule bool-impl-elim :args (@t795 @t1336)) % 1.11/1.37 (step @p1559 :rule trans :premises (@p1558 @p1557)) % 1.11/1.37 (step @p1560 :rule trans :premises (@p1559 @p1554)) % 1.11/1.37 (step @p1561 :rule cong :premises (@p1560) :args ((forall @t150 (=> @t795 @t1336)))) % 1.11/1.37 (step @p1562 :rule trans :premises (@p1561 @p1549)) % 1.11/1.37 (step @p1563 :rule cong :premises (@p1156 @p1061) :args 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1.11/1.37 (step @p1578 :rule trans :premises (@p1577 @p1572)) % 1.11/1.37 (step @p1579 :rule eq_resolve :premises (@p62 @p1578)) % 1.11/1.37 (step @p1580 :rule cong :premises (@p1579 @p1540) :args (@t1342)) % 1.11/1.37 (step @p1581 :rule bool-eq-true :args (tptp.exuI1)) % 1.11/1.37 (step @p1582 :rule symm :premises (@p1581)) % 1.11/1.37 (step @p1583 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 1.11/1.37 (step @p1584 :rule bool-or-taut :args (false @t661 false false)) % 1.11/1.37 (step @p1585 :rule nary_cong :premises (@p1000 @p1501) :args ((or @t1138 @t662))) % 1.11/1.37 (step @p1586 :rule bool-impl-elim :args (@t662 @t662)) % 1.11/1.37 (step @p1587 :rule trans :premises (@p1586 @p1585)) % 1.11/1.37 (step @p1588 :rule trans :premises (@p1587 @p1584)) % 1.11/1.37 (step @p1589 :rule cong :premises (@p1588) :args ((forall @t150 (=> @t662 @t662)))) % 1.11/1.37 (step @p1590 :rule trans :premises (@p1589 @p1583)) % 1.11/1.37 (step @p1591 :rule cong :premises (@p1104 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(@p3532)) % 1.11/1.37 (step @p3534 :rule not_implies_elim2 :premises (@p3533)) % 1.11/1.37 (step @p3535 :rule not_implies_elim2 :premises (@p3534)) % 1.11/1.37 (step @p3536 :rule not_implies_elim2 :premises (@p3535)) % 1.11/1.37 (step @p3537 :rule not_implies_elim2 :premises (@p3536)) % 1.11/1.37 (step @p3538 :rule not_implies_elim2 :premises (@p3537)) % 1.11/1.37 (step @p3539 :rule not_implies_elim2 :premises (@p3538)) % 1.11/1.37 (step @p3540 :rule not_implies_elim2 :premises (@p3539)) % 1.11/1.37 (step @p3541 :rule not_implies_elim2 :premises (@p3540)) % 1.11/1.37 (step @p3542 :rule not_implies_elim2 :premises (@p3541)) % 1.11/1.37 (step @p3543 :rule not_implies_elim2 :premises (@p3542)) % 1.11/1.37 (step @p3544 :rule not_implies_elim2 :premises (@p3543)) % 1.11/1.37 (step @p3545 :rule not_implies_elim2 :premises (@p3544)) % 1.11/1.37 (step @p3546 :rule not_implies_elim2 :premises (@p3545)) % 1.11/1.37 (step @p3547 :rule not_implies_elim2 :premises (@p3546)) % 1.11/1.37 (step @p3548 :rule not_implies_elim2 :premises (@p3547)) % 1.11/1.37 (step @p3549 :rule not_implies_elim2 :premises (@p3548)) % 1.11/1.37 (step @p3550 :rule not_implies_elim1 :premises (@p3549)) % 1.11/1.37 (step @p3551 :rule not_implies_elim2 :premises (@p3549)) % 1.11/1.37 (step @p3552 :rule not_implies_elim2 :premises (@p3551)) % 1.11/1.37 (step @p3553 :rule not_implies_elim2 :premises (@p3552)) % 1.11/1.37 (step @p3554 :rule not_implies_elim2 :premises (@p3553)) % 1.11/1.37 (step @p3555 :rule not_implies_elim2 :premises (@p3554)) % 1.11/1.37 (step @p3556 :rule not_implies_elim2 :premises (@p3555)) % 1.11/1.37 (step @p3557 :rule not_implies_elim2 :premises (@p3556)) % 1.11/1.37 (step @p3558 :rule not_implies_elim1 :premises (@p3557)) % 1.11/1.37 (step @p3559 :rule instantiate :premises (@p3558) :args ((@list @t1736 @t1739))) % 1.11/1.37 (step @p3560 :rule not_implies_elim1 :premises (@p3539)) % 1.11/1.37 (step @p3561 :rule instantiate :premises (@p3560) :args ((@list @t1737 @t1735))) % 1.11/1.37 (step @p3562 :rule not_implies_elim2 :premises (@p3557)) % 1.11/1.37 (step @p3563 :rule not_implies_elim2 :premises (@p3562)) % 1.11/1.37 (step @p3564 :rule skolemize :premises (@p3563)) % 1.11/1.37 (step @p3565 :rule cnf_or_neg :args (@t1743 1)) % 1.11/1.37 (step @p3566 :rule chain_m_resolution :premises (@p3565 @p3564) :args ((not @t1740) @t1744 @t1745)) % 1.11/1.37 (step @p3567 :rule cnf_or_pos :args (@t1747)) % 1.11/1.37 (step @p3568 :rule reordering :premises (@p3567) :args ((or @t1740 @t1746 (not @t1747)))) % 1.11/1.37 (step @p3569 :rule chain_m_resolution :premises (@p3568 @p3566 @p3561) :args (@t1746 @t1748 (@list @t1740 @t1747))) % 1.11/1.37 (step @p3570 :rule skolemize :premises (@p3569)) % 1.11/1.37 (step @p3571 :rule bool-double-not-elim :args (@t1749)) % 1.11/1.37 (step @p3572 :rule refl :args (@t1752)) % 1.11/1.37 (step @p3573 :rule nary_cong :premises (@p3572 @p3571) :args ((or @t1752 (not @t1751)))) % 1.11/1.37 (step @p3574 :rule cnf_or_neg :args (@t1752 0)) % 1.11/1.37 (step @p3575 :rule eq_resolve :premises (@p3574 @p3573)) % 1.11/1.37 (step @p3576 :rule reordering :premises (@p3575) :args ((or @t1749 @t1752))) % 1.11/1.37 (step @p3577 :rule chain_m_resolution :premises (@p3576 @p3570) :args (@t1749 @t1744 @t1753)) % 1.11/1.37 (step @p3578 :rule cnf_or_pos :args (@t1755)) % 1.11/1.37 (step @p3579 :rule reordering :premises (@p3578) :args ((or @t1751 @t1754 (not @t1755)))) % 1.11/1.37 (step @p3580 :rule chain_m_resolution :premises (@p3579 @p3577 @p3559) :args (@t1754 (@list false false) (@list @t1749 @t1755))) % 1.11/1.37 (step @p3581 :rule not_implies_elim1 :premises (@p3553)) % 1.11/1.37 (step @p3582 :rule instantiate :premises (@p3581) :args ((@list @t1739 @t1734))) % 1.11/1.37 (step @p3583 :rule cnf_or_neg :args (@t1752 1)) % 1.11/1.37 (step @p3584 :rule chain_m_resolution :premises (@p3583 @p3570) :args ((not @t1750) @t1744 @t1753)) % 1.11/1.37 (step @p3585 :rule cnf_or_pos :args (@t1758)) % 1.11/1.37 (step @p3586 :rule reordering :premises (@p3585) :args ((or @t1750 @t1757 (not @t1758)))) % 1.11/1.37 (step @p3587 :rule chain_m_resolution :premises (@p3586 @p3584 @p3582) :args (@t1757 @t1748 (@list @t1750 @t1758))) % 1.11/1.37 (step @p3588 :rule bool-double-not-elim :args (@t1741)) % 1.11/1.37 (step @p3589 :rule refl :args (@t1743)) % 1.11/1.37 (step @p3590 :rule nary_cong :premises (@p3589 @p3588) :args ((or @t1743 (not @t1742)))) % 1.11/1.37 (step @p3591 :rule cnf_or_neg :args (@t1743 0)) % 1.11/1.37 (step @p3592 :rule eq_resolve :premises (@p3591 @p3590)) % 1.11/1.37 (step @p3593 :rule reordering :premises (@p3592) :args ((or @t1741 @t1743))) % 1.11/1.37 (step @p3594 :rule chain_m_resolution :premises (@p3593 @p3564) :args (@t1741 @t1744 @t1745)) % 1.11/1.37 (step @p3595 :rule cnf_or_pos :args (@t1760)) % 1.11/1.37 (step @p3596 :rule reordering :premises (@p3595) :args ((or @t1742 @t1756 @t1759 @t1761))) % 1.11/1.37 (step @p3597 :rule chain_m_resolution :premises (@p3596 @p3594 @p3587 @p3580) :args (@t1761 (@list false true false) (@list @t1741 @t1756 @t1754))) % 1.11/1.37 (assume-push @p3604 @t601) % 1.11/1.37 (step @p3599 :rule instantiate :premises (@p3550) :args ((@list @t1739 @t1736 @t1734))) % 1.11/1.37 (step-pop @p3605 :rule scope :premises (@p3599)) % 1.11/1.37 (step @p3600 :rule process_scope :premises (@p3605) :args (@t1760)) % 1.11/1.37 (step @p3602 :rule implies_elim :premises (@p3600)) % 1.11/1.37 (step @p3603 false :rule chain_m_resolution :premises (@p3602 @p3597 @p3550) :args (false @t1748 (@list @t1760 @t601))) % 1.11/1.37 ) % 1.11/1.37 % SZS output end Proof % 1.11/1.37 % cvc5 exiting %------------------------------------------------------------------------------