%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU581^1 : 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 : n016.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 08:52:17 AM UTC 2026 % Result : Theorem 0.37s 0.88s % Output : Proof 0.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU581^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n016.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:42:54 EDT 2026 % 0.19/0.35 % CPUTime : % 0.31/0.54 %----Proving TH0 % 0.37/0.88 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.88 % SZS status Theorem % 0.37/0.88 % SZS output start Proof % 0.37/0.88 ( % 0.37/0.88 (declare-sort $$unsorted 0) % 0.37/0.88 (declare-const tptp.emptyset $$unsorted) % 0.37/0.88 (declare-const tptp.setextsub Bool) % 0.37/0.88 (declare-const tptp.setadjoinSub2 Bool) % 0.37/0.88 (declare-const tptp.setadjoinSub Bool) % 0.37/0.88 (declare-const tptp.notequalI2 Bool) % 0.37/0.88 (declare-const tptp.notsubsetI Bool) % 0.37/0.88 (declare-const tptp.emptysetsubset Bool) % 0.37/0.88 (declare-const tptp.subsetI2 Bool) % 0.37/0.88 (declare-const tptp.powerset__Cong Bool) % 0.37/0.88 (declare-const tptp.setadjoin__Cong Bool) % 0.37/0.88 (declare-const tptp.emptyset__Cong Bool) % 0.37/0.88 (declare-const tptp.exu__Cong Bool) % 0.37/0.88 (declare-const tptp.in__Cong Bool) % 0.37/0.88 (declare-const tptp.inCongP Bool) % 0.37/0.88 (declare-const tptp.subsetE2 Bool) % 0.37/0.88 (declare-const tptp.exuI3 Bool) % 0.37/0.88 (declare-const tptp.subsetE Bool) % 0.37/0.88 (declare-const tptp.exuI1 Bool) % 0.37/0.88 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.37/0.88 (declare-const tptp.subsetI1 Bool) % 0.37/0.88 (declare-const tptp.quantDeMorgan3 Bool) % 0.37/0.88 (declare-const tptp.quantDeMorgan2 Bool) % 0.37/0.88 (declare-const tptp.dsetconstr__Cong Bool) % 0.37/0.88 (declare-const tptp.quantDeMorgan1 Bool) % 0.37/0.88 (declare-const tptp.sepInPowerset Bool) % 0.37/0.88 (declare-const tptp.vacuousDall Bool) % 0.37/0.88 (declare-const tptp.inPowerset Bool) % 0.37/0.88 (declare-const tptp.emptyE1 Bool) % 0.37/0.88 (declare-const tptp.powersetE1 Bool) % 0.37/0.88 (declare-const tptp.setunion__Cong Bool) % 0.37/0.88 (declare-const tptp.upairsetIR Bool) % 0.37/0.88 (declare-const tptp.notequalI1 Bool) % 0.37/0.88 (declare-const tptp.emptysetE Bool) % 0.37/0.88 (declare-const tptp.omega__Cong Bool) % 0.37/0.88 (declare-const tptp.setadjoinIL Bool) % 0.37/0.88 (declare-const tptp.prop2setE Bool) % 0.37/0.88 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.37/0.88 (declare-const tptp.dsetconstrI Bool) % 0.37/0.88 (declare-const tptp.setext Bool) % 0.37/0.88 (declare-const tptp.nonemptyImpWitness Bool) % 0.37/0.88 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.37/0.88 (declare-const tptp.wellorderingAx Bool) % 0.37/0.88 (declare-const tptp.replAx Bool) % 0.37/0.88 (declare-const tptp.upairsetE Bool) % 0.37/0.88 (declare-const tptp.dsetconstrEL Bool) % 0.37/0.88 (declare-const tptp.prop2setI Bool) % 0.37/0.88 (declare-const tptp.emptyinPowerset Bool) % 0.37/0.88 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.88 (declare-const tptp.setextAx Bool) % 0.37/0.88 (declare-const tptp.setadjoinOr Bool) % 0.37/0.88 (declare-const tptp.subsetTrans Bool) % 0.37/0.88 (declare-const tptp.exuE3u Bool) % 0.37/0.88 (declare-const tptp.uniqinunit Bool) % 0.37/0.88 (declare-const tptp.foundationAx Bool) % 0.37/0.88 (declare-const tptp.emptysetimpfalse Bool) % 0.37/0.88 (declare-const tptp.subsetRefl Bool) % 0.37/0.88 (declare-const tptp.notinemptyset Bool) % 0.37/0.88 (declare-const tptp.setadjoinIR Bool) % 0.37/0.88 (declare-const tptp.exuE2 Bool) % 0.37/0.88 (declare-const tptp.powersetsubset Bool) % 0.37/0.88 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.88 (declare-const tptp.notdallE Bool) % 0.37/0.88 (declare-const tptp.dsetconstrER Bool) % 0.37/0.88 (declare-const tptp.eqimpsubset1 Bool) % 0.37/0.88 (declare-const tptp.emptyInPowerset Bool) % 0.37/0.88 (declare-const tptp.exuEu Bool) % 0.37/0.88 (declare-const tptp.setadjoinAx Bool) % 0.37/0.88 (declare-const tptp.subsetemptysetimpeq Bool) % 0.37/0.88 (declare-const tptp.nonemptyE1 Bool) % 0.37/0.88 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.88 (declare-const tptp.eqimpsubset2 Bool) % 0.37/0.88 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.37/0.88 (declare-const tptp.powersetAx Bool) % 0.37/0.88 (declare-const tptp.prop2set2propI Bool) % 0.37/0.88 (declare-const tptp.powersetE Bool) % 0.37/0.88 (declare-const tptp.omegaSAx Bool) % 0.37/0.88 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.88 (declare-const tptp.descrp Bool) % 0.37/0.88 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.37/0.88 (declare-const tptp.omega0Ax Bool) % 0.37/0.88 (declare-const tptp.setoftrueEq Bool) % 0.37/0.88 (declare-const tptp.setunionAx Bool) % 0.37/0.88 (declare-const tptp.omega $$unsorted) % 0.37/0.88 (declare-const tptp.omegaIndAx Bool) % 0.37/0.88 (declare-const tptp.quantDeMorgan4 Bool) % 0.37/0.88 (declare-const tptp.powersetI Bool) % 0.37/0.88 (declare-const tptp.exuE3e Bool) % 0.37/0.88 (declare-const tptp.emptyI Bool) % 0.37/0.88 (declare-const tptp.noeltsimpempty Bool) % 0.37/0.88 (declare-const tptp.eqinunit Bool) % 0.37/0.88 (declare-const tptp.powersetI1 Bool) % 0.37/0.88 (declare-const tptp.upairsetIL Bool) % 0.37/0.88 (declare-const tptp.nonemptyI Bool) % 0.37/0.88 (declare-const tptp.emptysetAx Bool) % 0.37/0.88 (declare-const tptp.nonemptyI1 Bool) % 0.37/0.88 (declare-const tptp.descr__Cong Bool) % 0.37/0.88 (declare-const tptp.emptyinunitempty Bool) % 0.37/0.88 (declare-const tptp.setadjoinE Bool) % 0.37/0.88 (declare-const tptp.notdexE Bool) % 0.37/0.88 (declare-const tptp.setunionI Bool) % 0.37/0.88 (declare-const tptp.exuE1 Bool) % 0.37/0.88 (declare-const tptp.setunionE Bool) % 0.37/0.88 (declare-const tptp.exuI2 Bool) % 0.37/0.88 (declare-const tptp.subPowSU Bool) % 0.37/0.88 (declare-const tptp.notinsingleton Bool) % 0.37/0.88 (declare-const tptp.subset2powerset Bool) % 0.37/0.88 (declare-const tptp.setbeta Bool) % 0.37/0.88 (declare-const tptp.singletonsswitch Bool) % 0.37/0.88 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.37/0.88 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.37/0.88 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.88 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.88 (define @t3 () (= @t2 @t1)) % 0.37/0.88 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.88 (define @t5 () (_ tptp.in @t4)) % 0.37/0.88 (define @t6 () (_ @t5 @t1)) % 0.37/0.88 (define @t7 () (_ @t5 @t2)) % 0.37/0.88 (define @t8 () (= @t7 @t6)) % 0.37/0.88 (define @t9 () (@list @t4)) % 0.37/0.88 (define @t10 () (forall @t9 @t8)) % 0.37/0.88 (define @t11 () (=> @t10 @t3)) % 0.37/0.88 (define @t12 () (@list @t2 @t1)) % 0.37/0.88 (define @t13 () (forall @t12 @t11)) % 0.37/0.88 (define @t14 () (= tptp.setextAx @t13)) % 0.37/0.88 (define @t15 () (_ @t5 tptp.emptyset)) % 0.37/0.88 (define @t16 () (not @t15)) % 0.37/0.88 (define @t17 () (forall @t9 @t16)) % 0.37/0.88 (define @t18 () (= tptp.emptysetAx @t17)) % 0.37/0.88 (define @t19 () (@var "Xy" $$unsorted)) % 0.37/0.88 (define @t20 () (_ tptp.in @t19)) % 0.37/0.88 (define @t21 () (_ @t20 @t2)) % 0.37/0.88 (define @t22 () (= @t19 @t4)) % 0.37/0.88 (define @t23 () (or @t22 @t21)) % 0.37/0.88 (define @t24 () (_ tptp.setadjoin @t4)) % 0.37/0.88 (define @t25 () (_ @t24 @t2)) % 0.37/0.88 (define @t26 () (_ @t20 @t25)) % 0.37/0.88 (define @t27 () (= @t26 @t23)) % 0.37/0.88 (define @t28 () (@list @t4 @t2 @t19)) % 0.37/0.88 (define @t29 () (forall @t28 @t27)) % 0.37/0.88 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.37/0.88 (define @t31 () (=> @t6 @t7)) % 0.37/0.88 (define @t32 () (forall @t9 @t31)) % 0.37/0.88 (define @t33 () (_ tptp.powerset @t2)) % 0.37/0.88 (define @t34 () (_ tptp.in @t1)) % 0.37/0.88 (define @t35 () (_ @t34 @t33)) % 0.37/0.88 (define @t36 () (= @t35 @t32)) % 0.37/0.88 (define @t37 () (forall @t12 @t36)) % 0.37/0.88 (define @t38 () (= tptp.powersetAx @t37)) % 0.37/0.88 (define @t39 () (_ @t34 @t2)) % 0.37/0.88 (define @t40 () (and @t6 @t39)) % 0.37/0.88 (define @t41 () (@list @t1)) % 0.37/0.88 (define @t42 () (exists @t41 @t40)) % 0.37/0.88 (define @t43 () (_ tptp.setunion @t2)) % 0.37/0.88 (define @t44 () (_ @t5 @t43)) % 0.37/0.88 (define @t45 () (= @t44 @t42)) % 0.37/0.88 (define @t46 () (@list @t2 @t4)) % 0.37/0.88 (define @t47 () (forall @t46 @t45)) % 0.37/0.88 (define @t48 () (= tptp.setunionAx @t47)) % 0.37/0.88 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.37/0.88 (define @t50 () (_ @t49 tptp.omega)) % 0.37/0.88 (define @t51 () (_ @t24 @t4)) % 0.37/0.88 (define @t52 () (_ tptp.in @t51)) % 0.37/0.88 (define @t53 () (_ @t52 tptp.omega)) % 0.37/0.88 (define @t54 () (_ @t5 tptp.omega)) % 0.37/0.88 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.37/0.88 (define @t56 () (= tptp.omegaSAx @t55)) % 0.37/0.88 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.37/0.88 (define @t58 () (_ @t52 @t2)) % 0.37/0.88 (define @t59 () (and @t54 @t7)) % 0.37/0.88 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.37/0.88 (define @t61 () (_ @t49 @t2)) % 0.37/0.88 (define @t62 () (and @t61 @t60)) % 0.37/0.88 (define @t63 () (=> @t62 @t57)) % 0.37/0.88 (define @t64 () (@list @t2)) % 0.37/0.88 (define @t65 () (forall @t64 @t63)) % 0.37/0.88 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.37/0.88 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.37/0.88 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.37/0.88 (define @t69 () (and @t21 @t68)) % 0.37/0.88 (define @t70 () (@list @t19)) % 0.37/0.88 (define @t71 () (exists @t70 @t69)) % 0.37/0.88 (define @t72 () (= @t6 @t71)) % 0.37/0.88 (define @t73 () (forall @t9 @t72)) % 0.37/0.88 (define @t74 () (exists @t41 @t73)) % 0.37/0.88 (define @t75 () (_ @t67 @t4)) % 0.37/0.88 (define @t76 () (_ @t75 @t19)) % 0.37/0.88 (define @t77 () (lambda @t70 @t76)) % 0.37/0.88 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.37/0.88 (define @t79 () (forall @t9 @t78)) % 0.37/0.88 (define @t80 () (=> @t79 @t74)) % 0.37/0.88 (define @t81 () (@list @t67 @t2)) % 0.37/0.88 (define @t82 () (forall @t81 @t80)) % 0.37/0.88 (define @t83 () (= tptp.replAx @t82)) % 0.37/0.88 (define @t84 () (and @t6 @t7)) % 0.37/0.88 (define @t85 () (exists @t9 @t84)) % 0.37/0.88 (define @t86 () (not @t85)) % 0.37/0.88 (define @t87 () (and @t39 @t86)) % 0.37/0.88 (define @t88 () (exists @t41 @t87)) % 0.37/0.88 (define @t89 () (exists @t9 @t7)) % 0.37/0.88 (define @t90 () (=> @t89 @t88)) % 0.37/0.88 (define @t91 () (forall @t64 @t90)) % 0.37/0.88 (define @t92 () (= tptp.foundationAx @t91)) % 0.37/0.88 (define @t93 () (@var "E" $$unsorted)) % 0.37/0.88 (define @t94 () (_ @t5 @t93)) % 0.37/0.88 (define @t95 () (@var "D" $$unsorted)) % 0.37/0.88 (define @t96 () (_ @t20 @t95)) % 0.37/0.88 (define @t97 () (_ @t20 @t93)) % 0.37/0.88 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.37/0.88 (define @t99 () (or @t98 @t94)) % 0.37/0.88 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.37/0.88 (define @t101 () (=> @t100 @t99)) % 0.37/0.88 (define @t102 () (@list @t93)) % 0.37/0.88 (define @t103 () (forall @t102 @t101)) % 0.37/0.88 (define @t104 () (@var "C" $$unsorted)) % 0.37/0.88 (define @t105 () (_ @t20 @t104)) % 0.37/0.88 (define @t106 () (and @t96 @t105)) % 0.37/0.88 (define @t107 () (exists @t70 @t106)) % 0.37/0.88 (define @t108 () (not @t107)) % 0.37/0.88 (define @t109 () (_ @t5 @t104)) % 0.37/0.88 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.37/0.88 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.37/0.88 (define @t112 () (@list @t95 @t4)) % 0.37/0.88 (define @t113 () (exists @t112 @t111)) % 0.37/0.88 (define @t114 () (exists @t9 @t109)) % 0.37/0.88 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.37/0.88 (define @t116 () (and @t115 @t114)) % 0.37/0.88 (define @t117 () (=> @t116 @t113)) % 0.37/0.88 (define @t118 () (@list @t104)) % 0.37/0.88 (define @t119 () (forall @t118 @t117)) % 0.37/0.88 (define @t120 () (_ @t5 @t95)) % 0.37/0.88 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.37/0.88 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.37/0.88 (define @t123 () (or @t122 @t121)) % 0.37/0.88 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.37/0.88 (define @t125 () (and @t124 @t110)) % 0.37/0.88 (define @t126 () (=> @t125 @t123)) % 0.37/0.88 (define @t127 () (@list @t104 @t95)) % 0.37/0.88 (define @t128 () (forall @t127 @t126)) % 0.37/0.88 (define @t129 () (= @t4 @t19)) % 0.37/0.88 (define @t130 () (= @t109 @t105)) % 0.37/0.88 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.37/0.88 (define @t132 () (=> @t131 @t129)) % 0.37/0.88 (define @t133 () (and @t7 @t21)) % 0.37/0.88 (define @t134 () (=> @t133 @t132)) % 0.37/0.88 (define @t135 () (@list @t4 @t19)) % 0.37/0.88 (define @t136 () (forall @t135 @t134)) % 0.37/0.88 (define @t137 () (=> @t124 @t115)) % 0.37/0.88 (define @t138 () (forall @t118 @t137)) % 0.37/0.88 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.37/0.88 (define @t140 () (exists @t41 @t139)) % 0.37/0.88 (define @t141 () (forall @t64 @t140)) % 0.37/0.88 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.37/0.88 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.37/0.88 (define @t144 () (_ @t143 @t4)) % 0.37/0.88 (define @t145 () (lambda @t9 @t144)) % 0.37/0.88 (define @t146 () (_ tptp.descr @t145)) % 0.37/0.88 (define @t147 () (_ @t143 @t146)) % 0.37/0.88 (define @t148 () (_ tptp.exu @t145)) % 0.37/0.88 (define @t149 () (=> @t148 @t147)) % 0.37/0.88 (define @t150 () (@list @t143)) % 0.37/0.88 (define @t151 () (forall @t150 @t149)) % 0.37/0.88 (define @t152 () (= tptp.descrp @t151)) % 0.37/0.88 (define @t153 () (_ @t143 @t19)) % 0.37/0.88 (define @t154 () (lambda @t70 @t153)) % 0.37/0.88 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.37/0.88 (define @t156 () (_ @t155 @t154)) % 0.37/0.88 (define @t157 () (_ @t5 @t156)) % 0.37/0.88 (define @t158 () (=> @t144 @t157)) % 0.37/0.88 (define @t159 () (@list @t2 @t143 @t4)) % 0.37/0.88 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.37/0.88 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.37/0.88 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.37/0.88 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.37/0.88 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.37/0.88 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.37/0.88 (define @t166 () (=> @t153 @t129)) % 0.37/0.88 (define @t167 () (forall @t70 @t166)) % 0.37/0.88 (define @t168 () (and @t144 @t167)) % 0.37/0.88 (define @t169 () (exists @t9 @t168)) % 0.37/0.88 (define @t170 () (=> @t148 @t169)) % 0.37/0.88 (define @t171 () (forall @t150 @t170)) % 0.37/0.88 (define @t172 () (= tptp.exuE1 @t171)) % 0.37/0.88 (define @t173 () (@var "Xphi" Bool)) % 0.37/0.88 (define @t174 () (_ tptp.prop2set @t173)) % 0.37/0.88 (define @t175 () (_ @t5 @t174)) % 0.37/0.88 (define @t176 () (@list @t173 @t4)) % 0.37/0.88 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.37/0.88 (define @t178 () (= tptp.prop2setE @t177)) % 0.37/0.88 (define @t179 () (@list @t173)) % 0.37/0.88 (define @t180 () (forall @t179 @t173)) % 0.37/0.88 (define @t181 () (=> @t15 @t180)) % 0.37/0.88 (define @t182 () (forall @t9 @t181)) % 0.37/0.88 (define @t183 () (= tptp.emptysetE @t182)) % 0.37/0.88 (define @t184 () (forall @t9 (=> @t15 false))) % 0.37/0.88 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.37/0.88 (define @t186 () (exists @t9 @t144)) % 0.37/0.88 (define @t187 () (=> @t148 @t186)) % 0.37/0.88 (define @t188 () (forall @t150 @t187)) % 0.37/0.88 (define @t189 () (= tptp.exuE3e @t188)) % 0.37/0.88 (define @t190 () (=> @t32 @t3)) % 0.37/0.88 (define @t191 () (=> @t7 @t6)) % 0.37/0.88 (define @t192 () (forall @t9 @t191)) % 0.37/0.88 (define @t193 () (=> @t192 @t190)) % 0.37/0.88 (define @t194 () (forall @t12 @t193)) % 0.37/0.88 (define @t195 () (= tptp.setext @t194)) % 0.37/0.88 (define @t196 () (= @t2 tptp.emptyset)) % 0.37/0.88 (define @t197 () (not @t7)) % 0.37/0.88 (define @t198 () (forall @t9 @t197)) % 0.37/0.88 (define @t199 () (=> @t198 @t196)) % 0.37/0.88 (define @t200 () (forall @t64 @t199)) % 0.37/0.88 (define @t201 () (= tptp.emptyI @t200)) % 0.37/0.88 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.37/0.88 (define @t203 () (forall @t159 @t202)) % 0.37/0.88 (define @t204 () (= tptp.setbeta @t203)) % 0.37/0.88 (define @t205 () (_ tptp.nonempty @t2)) % 0.37/0.88 (define @t206 () (=> @t205 @t89)) % 0.37/0.88 (define @t207 () (forall @t64 @t206)) % 0.37/0.88 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.37/0.88 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.37/0.88 (define @t210 () (=> @t7 @t209)) % 0.37/0.88 (define @t211 () (forall @t159 @t210)) % 0.37/0.88 (define @t212 () (= tptp.nonemptyI @t211)) % 0.37/0.88 (define @t213 () (=> @t89 @t205)) % 0.37/0.88 (define @t214 () (forall @t64 @t213)) % 0.37/0.88 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.37/0.88 (define @t216 () (_ @t24 @t19)) % 0.37/0.88 (define @t217 () (_ @t5 @t216)) % 0.37/0.88 (define @t218 () (forall @t135 @t217)) % 0.37/0.88 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.37/0.88 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.37/0.88 (define @t221 () (_ @t49 @t220)) % 0.37/0.88 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.37/0.88 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.37/0.88 (define @t224 () (=> @t21 @t173)) % 0.37/0.88 (define @t225 () (=> @t224 @t173)) % 0.37/0.88 (define @t226 () (=> @t22 @t173)) % 0.37/0.88 (define @t227 () (=> @t226 @t225)) % 0.37/0.88 (define @t228 () (forall @t179 @t227)) % 0.37/0.88 (define @t229 () (=> @t26 @t228)) % 0.37/0.88 (define @t230 () (forall @t28 @t229)) % 0.37/0.88 (define @t231 () (= tptp.setadjoinE @t230)) % 0.37/0.88 (define @t232 () (=> @t26 @t23)) % 0.37/0.88 (define @t233 () (forall @t28 @t232)) % 0.37/0.88 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.37/0.88 (define @t235 () (lambda @t9 true)) % 0.37/0.88 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.37/0.88 (define @t237 () (forall @t64 @t236)) % 0.37/0.88 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.37/0.88 (define @t239 () (=> @t32 @t35)) % 0.37/0.88 (define @t240 () (forall @t12 @t239)) % 0.37/0.88 (define @t241 () (= tptp.powersetI @t240)) % 0.37/0.88 (define @t242 () (_ @t49 @t33)) % 0.37/0.88 (define @t243 () (forall @t64 @t242)) % 0.37/0.88 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.37/0.88 (define @t245 () (@list @t2 @t1 @t4)) % 0.37/0.88 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.37/0.88 (define @t247 () (= tptp.powersetE @t246)) % 0.37/0.88 (define @t248 () (=> @t39 @t44)) % 0.37/0.88 (define @t249 () (@list @t2 @t4 @t1)) % 0.37/0.88 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.37/0.88 (define @t251 () (= tptp.setunionI @t250)) % 0.37/0.88 (define @t252 () (=> @t39 @t173)) % 0.37/0.88 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.37/0.88 (define @t254 () (=> @t253 @t173)) % 0.37/0.88 (define @t255 () (forall @t179 @t254)) % 0.37/0.88 (define @t256 () (=> @t44 @t255)) % 0.37/0.88 (define @t257 () (forall @t46 @t256)) % 0.37/0.88 (define @t258 () (= tptp.setunionE @t257)) % 0.37/0.88 (define @t259 () (_ tptp.powerset @t43)) % 0.37/0.88 (define @t260 () (_ @t5 @t259)) % 0.37/0.88 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.37/0.88 (define @t262 () (= tptp.subPowSU @t261)) % 0.37/0.88 (define @t263 () (= @t153 @t22)) % 0.37/0.88 (define @t264 () (forall @t70 @t263)) % 0.37/0.88 (define @t265 () (exists @t9 @t264)) % 0.37/0.88 (define @t266 () (=> @t148 @t265)) % 0.37/0.88 (define @t267 () (forall @t150 @t266)) % 0.37/0.88 (define @t268 () (= tptp.exuE2 @t267)) % 0.37/0.88 (define @t269 () (and @t7 true)) % 0.37/0.88 (define @t270 () (exists @t9 @t269)) % 0.37/0.88 (define @t271 () (=> @t205 @t270)) % 0.37/0.88 (define @t272 () (forall @t64 @t271)) % 0.37/0.88 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.37/0.88 (define @t274 () (_ tptp.setadjoin @t19)) % 0.37/0.88 (define @t275 () (_ @t274 tptp.emptyset)) % 0.37/0.88 (define @t276 () (_ @t5 @t275)) % 0.37/0.88 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.37/0.88 (define @t278 () (= tptp.uniqinunit @t277)) % 0.37/0.88 (define @t279 () (_ @t24 tptp.emptyset)) % 0.37/0.88 (define @t280 () (_ @t20 @t279)) % 0.37/0.88 (define @t281 () (not @t280)) % 0.37/0.88 (define @t282 () (not @t129)) % 0.37/0.88 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.37/0.88 (define @t284 () (= tptp.notinsingleton @t283)) % 0.37/0.88 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.37/0.88 (define @t286 () (= tptp.eqinunit @t285)) % 0.37/0.88 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.37/0.88 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.37/0.88 (define @t289 () (@var "Xz" $$unsorted)) % 0.37/0.88 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.37/0.88 (define @t291 () (_ @t24 @t275)) % 0.37/0.88 (define @t292 () (_ tptp.in @t289)) % 0.37/0.88 (define @t293 () (_ @t292 @t291)) % 0.37/0.88 (define @t294 () (=> @t293 @t290)) % 0.37/0.88 (define @t295 () (@list @t4 @t19 @t289)) % 0.37/0.88 (define @t296 () (forall @t295 @t294)) % 0.37/0.88 (define @t297 () (= tptp.upairsetE @t296)) % 0.37/0.88 (define @t298 () (_ @t5 @t291)) % 0.37/0.88 (define @t299 () (forall @t135 @t298)) % 0.37/0.88 (define @t300 () (= tptp.upairsetIL @t299)) % 0.37/0.88 (define @t301 () (_ @t20 @t291)) % 0.37/0.88 (define @t302 () (forall @t135 @t301)) % 0.37/0.88 (define @t303 () (= tptp.upairsetIR @t302)) % 0.37/0.88 (define @t304 () (_ @t155 @t145)) % 0.37/0.88 (define @t305 () (= @t304 tptp.emptyset)) % 0.37/0.88 (define @t306 () (and @t7 @t144)) % 0.37/0.88 (define @t307 () (exists @t9 @t306)) % 0.37/0.88 (define @t308 () (=> @t307 (=> @t305 false))) % 0.37/0.88 (define @t309 () (@list @t2 @t143)) % 0.37/0.88 (define @t310 () (forall @t309 @t308)) % 0.37/0.88 (define @t311 () (= tptp.emptyE1 @t310)) % 0.37/0.88 (define @t312 () (@list @t143 @t4)) % 0.37/0.88 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.37/0.88 (define @t314 () (= tptp.vacuousDall @t313)) % 0.37/0.88 (define @t315 () (not @t144)) % 0.37/0.88 (define @t316 () (and @t7 @t315)) % 0.37/0.88 (define @t317 () (exists @t9 @t316)) % 0.37/0.88 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.37/0.88 (define @t319 () (not @t318)) % 0.37/0.88 (define @t320 () (=> @t319 @t317)) % 0.37/0.88 (define @t321 () (forall @t309 @t320)) % 0.37/0.88 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.37/0.88 (define @t323 () (not @t307)) % 0.37/0.88 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.37/0.88 (define @t325 () (=> @t324 @t323)) % 0.37/0.88 (define @t326 () (forall @t309 @t325)) % 0.37/0.88 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.37/0.88 (define @t328 () (=> @t323 @t324)) % 0.37/0.88 (define @t329 () (forall @t309 @t328)) % 0.37/0.88 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.37/0.88 (define @t331 () (=> @t317 @t319)) % 0.37/0.88 (define @t332 () (forall @t309 @t331)) % 0.37/0.88 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.37/0.88 (define @t334 () (_ @t49 @t174)) % 0.37/0.88 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.37/0.88 (define @t336 () (= tptp.prop2setI @t335)) % 0.37/0.88 (define @t337 () (_ tptp.set2prop @t174)) % 0.37/0.88 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.37/0.88 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.37/0.88 (define @t340 () (=> @t169 @t148)) % 0.37/0.88 (define @t341 () (forall @t150 @t340)) % 0.37/0.88 (define @t342 () (= tptp.exuI1 @t341)) % 0.37/0.88 (define @t343 () (forall @t135 (=> @t144 @t166))) % 0.37/0.88 (define @t344 () (=> @t343 @t148)) % 0.37/0.88 (define @t345 () (=> @t186 @t344)) % 0.37/0.88 (define @t346 () (forall @t150 @t345)) % 0.37/0.88 (define @t347 () (= tptp.exuI3 @t346)) % 0.37/0.88 (define @t348 () (=> @t265 @t148)) % 0.37/0.88 (define @t349 () (forall @t150 @t348)) % 0.37/0.88 (define @t350 () (= tptp.exuI2 @t349)) % 0.37/0.88 (define @t351 () (_ @t20 @t1)) % 0.37/0.88 (define @t352 () (=> @t7 @t351)) % 0.37/0.88 (define @t353 () (forall @t135 (=> @t129 @t352))) % 0.37/0.88 (define @t354 () (=> @t3 @t353)) % 0.37/0.88 (define @t355 () (forall @t12 @t354)) % 0.37/0.88 (define @t356 () (= tptp.inCongP @t355)) % 0.37/0.88 (define @t357 () (= @t7 @t351)) % 0.37/0.88 (define @t358 () (forall @t135 (=> @t129 @t357))) % 0.37/0.88 (define @t359 () (=> @t3 @t358)) % 0.37/0.88 (define @t360 () (forall @t12 @t359)) % 0.37/0.88 (define @t361 () (= tptp.in__Cong @t360)) % 0.37/0.88 (define @t362 () (=> @t148 @t343)) % 0.37/0.88 (define @t363 () (forall @t150 @t362)) % 0.37/0.88 (define @t364 () (= tptp.exuE3u @t363)) % 0.37/0.88 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.37/0.88 (define @t366 () (_ @t365 @t4)) % 0.37/0.88 (define @t367 () (lambda @t9 @t366)) % 0.37/0.88 (define @t368 () (_ tptp.exu @t367)) % 0.37/0.88 (define @t369 () (= @t148 @t368)) % 0.37/0.88 (define @t370 () (_ @t365 @t19)) % 0.37/0.88 (define @t371 () (= @t144 @t370)) % 0.37/0.88 (define @t372 () (=> @t129 @t371)) % 0.37/0.88 (define @t373 () (forall @t135 @t372)) % 0.37/0.88 (define @t374 () (=> @t373 @t369)) % 0.37/0.88 (define @t375 () (@list @t143 @t365)) % 0.37/0.88 (define @t376 () (forall @t375 @t374)) % 0.37/0.88 (define @t377 () (= tptp.exu__Cong @t376)) % 0.37/0.88 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 0.37/0.88 (define @t379 () (= tptp.emptyset__Cong @t378)) % 0.37/0.88 (define @t380 () (@var "Xu" $$unsorted)) % 0.37/0.88 (define @t381 () (_ @t274 @t380)) % 0.37/0.88 (define @t382 () (_ @t24 @t289)) % 0.37/0.88 (define @t383 () (= @t382 @t381)) % 0.37/0.88 (define @t384 () (= @t289 @t380)) % 0.37/0.88 (define @t385 () (@list @t289 @t380)) % 0.37/0.88 (define @t386 () (forall @t385 (=> @t384 @t383))) % 0.37/0.88 (define @t387 () (=> @t129 @t386)) % 0.37/0.88 (define @t388 () (forall @t135 @t387)) % 0.37/0.88 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 0.37/0.88 (define @t390 () (_ tptp.powerset @t1)) % 0.37/0.88 (define @t391 () (= @t33 @t390)) % 0.37/0.88 (define @t392 () (forall @t12 (=> @t3 @t391))) % 0.37/0.88 (define @t393 () (= tptp.powerset__Cong @t392)) % 0.37/0.88 (define @t394 () (_ tptp.setunion @t1)) % 0.37/0.88 (define @t395 () (= @t43 @t394)) % 0.37/0.88 (define @t396 () (forall @t12 (=> @t3 @t395))) % 0.37/0.88 (define @t397 () (= tptp.setunion__Cong @t396)) % 0.37/0.88 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.37/0.88 (define @t399 () (= tptp.exuEu @t363)) % 0.37/0.88 (define @t400 () (_ tptp.descr @t367)) % 0.37/0.88 (define @t401 () (= @t146 @t400)) % 0.37/0.88 (define @t402 () (=> @t368 @t401)) % 0.37/0.88 (define @t403 () (=> @t148 @t402)) % 0.37/0.88 (define @t404 () (=> @t373 @t403)) % 0.37/0.88 (define @t405 () (forall @t375 @t404)) % 0.37/0.88 (define @t406 () (= tptp.descr__Cong @t405)) % 0.37/0.88 (define @t407 () (_ tptp.dsetconstr @t1)) % 0.37/0.88 (define @t408 () (_ @t407 @t367)) % 0.37/0.88 (define @t409 () (= @t304 @t408)) % 0.37/0.88 (define @t410 () (forall @t70 (=> @t351 @t372))) % 0.37/0.88 (define @t411 () (=> @t7 @t410)) % 0.37/0.88 (define @t412 () (forall @t9 @t411)) % 0.37/0.88 (define @t413 () (=> @t412 @t409)) % 0.37/0.88 (define @t414 () (forall @t375 @t413)) % 0.37/0.88 (define @t415 () (=> @t3 @t414)) % 0.37/0.88 (define @t416 () (forall @t12 @t415)) % 0.37/0.88 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 0.37/0.88 (define @t418 () (_ tptp.subset @t2)) % 0.37/0.88 (define @t419 () (_ @t418 @t1)) % 0.37/0.88 (define @t420 () (=> @t192 @t419)) % 0.37/0.88 (define @t421 () (forall @t12 @t420)) % 0.37/0.88 (define @t422 () (= tptp.subsetI1 @t421)) % 0.37/0.88 (define @t423 () (_ tptp.subset @t1)) % 0.37/0.88 (define @t424 () (_ @t423 @t2)) % 0.37/0.88 (define @t425 () (forall @t12 (=> @t3 @t424))) % 0.37/0.88 (define @t426 () (= tptp.eqimpsubset2 @t425)) % 0.37/0.88 (define @t427 () (forall @t12 (=> @t3 @t419))) % 0.37/0.88 (define @t428 () (= tptp.eqimpsubset1 @t427)) % 0.37/0.88 (define @t429 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.37/0.88 (define @t430 () (forall @t64 @t429)) % 0.37/0.88 (define @t431 () (= tptp.emptysetsubset @t430)) % 0.37/0.88 (define @t432 () (forall @t245 (=> @t419 @t191))) % 0.37/0.88 (define @t433 () (= tptp.subsetE @t432)) % 0.37/0.88 (define @t434 () (not @t6)) % 0.37/0.88 (define @t435 () (=> @t434 @t197)) % 0.37/0.88 (define @t436 () (forall @t245 (=> @t419 @t435))) % 0.37/0.88 (define @t437 () (= tptp.subsetE2 @t436)) % 0.37/0.88 (define @t438 () (not @t419)) % 0.37/0.88 (define @t439 () (=> @t434 @t438)) % 0.37/0.88 (define @t440 () (forall @t245 (=> @t7 @t439))) % 0.37/0.88 (define @t441 () (= tptp.notsubsetI @t440)) % 0.37/0.88 (define @t442 () (not @t3)) % 0.37/0.88 (define @t443 () (forall @t12 (=> @t438 @t442))) % 0.37/0.88 (define @t444 () (= tptp.notequalI1 @t443)) % 0.37/0.88 (define @t445 () (=> @t434 @t442)) % 0.37/0.88 (define @t446 () (forall @t245 (=> @t7 @t445))) % 0.37/0.88 (define @t447 () (= tptp.notequalI2 @t446)) % 0.37/0.88 (define @t448 () (_ @t418 @t2)) % 0.37/0.88 (define @t449 () (forall @t64 @t448)) % 0.37/0.88 (define @t450 () (= tptp.subsetRefl @t449)) % 0.37/0.88 (define @t451 () (_ @t418 @t104)) % 0.37/0.88 (define @t452 () (_ @t423 @t104)) % 0.37/0.88 (define @t453 () (=> @t452 @t451)) % 0.37/0.88 (define @t454 () (@list @t2 @t1 @t104)) % 0.37/0.88 (define @t455 () (forall @t454 (=> @t419 @t453))) % 0.37/0.88 (define @t456 () (= tptp.subsetTrans @t455)) % 0.37/0.88 (define @t457 () (_ @t418 @t25)) % 0.37/0.88 (define @t458 () (@list @t4 @t2)) % 0.37/0.88 (define @t459 () (forall @t458 @t457)) % 0.37/0.88 (define @t460 () (= tptp.setadjoinSub @t459)) % 0.37/0.88 (define @t461 () (_ @t24 @t1)) % 0.37/0.88 (define @t462 () (_ @t418 @t461)) % 0.37/0.88 (define @t463 () (forall @t249 (=> @t419 @t462))) % 0.37/0.88 (define @t464 () (= tptp.setadjoinSub2 @t463)) % 0.37/0.88 (define @t465 () (_ tptp.in @t2)) % 0.37/0.88 (define @t466 () (_ @t465 @t390)) % 0.37/0.88 (define @t467 () (forall @t12 (=> @t419 @t466))) % 0.37/0.88 (define @t468 () (= tptp.subset2powerset @t467)) % 0.37/0.88 (define @t469 () (=> @t424 @t3)) % 0.37/0.88 (define @t470 () (forall @t12 (=> @t419 @t469))) % 0.37/0.88 (define @t471 () (= tptp.setextsub @t470)) % 0.37/0.88 (define @t472 () (_ @t418 tptp.emptyset)) % 0.37/0.88 (define @t473 () (forall @t64 (=> @t472 @t196))) % 0.37/0.88 (define @t474 () (= tptp.subsetemptysetimpeq @t473)) % 0.37/0.88 (define @t475 () (forall @t12 (=> @t424 @t35))) % 0.37/0.88 (define @t476 () (= tptp.powersetI1 @t475)) % 0.37/0.88 (define @t477 () (forall @t12 (=> @t35 @t424))) % 0.37/0.88 (define @t478 () (= tptp.powersetE1 @t477)) % 0.37/0.88 (define @t479 () (_ @t465 @t33)) % 0.37/0.88 (define @t480 () (forall @t64 @t479)) % 0.37/0.88 (define @t481 () (= tptp.inPowerset @t480)) % 0.37/0.88 (define @t482 () (_ (_ tptp.subset @t33) @t390)) % 0.37/0.88 (define @t483 () (forall @t12 (=> @t419 @t482))) % 0.37/0.88 (define @t484 () (= tptp.powersetsubset @t483)) % 0.37/0.88 (define @t485 () (_ (_ tptp.in @t304) @t33)) % 0.37/0.88 (define @t486 () (forall @t309 @t485)) % 0.37/0.88 (define @t487 () (= tptp.sepInPowerset @t486)) % 0.37/0.88 (define @t488 () (_ (_ tptp.subset @t304) @t2)) % 0.37/0.88 (define @t489 () (forall @t309 @t488)) % 0.37/0.88 (define @t490 () (=> tptp.sepInPowerset @t489)) % 0.37/0.88 (define @t491 () (=> tptp.powersetsubset @t490)) % 0.37/0.88 (define @t492 () (=> tptp.inPowerset @t491)) % 0.37/0.88 (define @t493 () (=> tptp.powersetE1 @t492)) % 0.37/0.88 (define @t494 () (=> tptp.powersetI1 @t493)) % 0.37/0.88 (define @t495 () (=> tptp.subsetemptysetimpeq @t494)) % 0.37/0.88 (define @t496 () (=> tptp.setextsub @t495)) % 0.37/0.88 (define @t497 () (=> tptp.subset2powerset @t496)) % 0.37/0.88 (define @t498 () (=> tptp.setadjoinSub2 @t497)) % 0.37/0.88 (define @t499 () (=> tptp.setadjoinSub @t498)) % 0.37/0.88 (define @t500 () (=> tptp.subsetTrans @t499)) % 0.37/0.88 (define @t501 () (=> tptp.subsetRefl @t500)) % 0.37/0.88 (define @t502 () (=> tptp.notequalI2 @t501)) % 0.37/0.88 (define @t503 () (=> tptp.notequalI1 @t502)) % 0.37/0.88 (define @t504 () (=> tptp.notsubsetI @t503)) % 0.37/0.88 (define @t505 () (=> tptp.subsetE2 @t504)) % 0.37/0.88 (define @t506 () (=> tptp.subsetE @t505)) % 0.37/0.88 (define @t507 () (=> tptp.emptysetsubset @t506)) % 0.37/0.88 (define @t508 () (=> tptp.subsetI2 @t507)) % 0.37/0.88 (define @t509 () (=> tptp.eqimpsubset1 @t508)) % 0.37/0.88 (define @t510 () (=> tptp.eqimpsubset2 @t509)) % 0.37/0.88 (define @t511 () (=> tptp.subsetI1 @t510)) % 0.37/0.88 (define @t512 () (=> tptp.dsetconstr__Cong @t511)) % 0.37/0.88 (define @t513 () (=> tptp.descr__Cong @t512)) % 0.37/0.88 (define @t514 () (=> tptp.exuEu @t513)) % 0.37/0.88 (define @t515 () (=> tptp.omega__Cong @t514)) % 0.37/0.88 (define @t516 () (=> tptp.setunion__Cong @t515)) % 0.37/0.88 (define @t517 () (=> tptp.powerset__Cong @t516)) % 0.37/0.88 (define @t518 () (=> tptp.setadjoin__Cong @t517)) % 0.37/0.88 (define @t519 () (=> tptp.emptyset__Cong @t518)) % 0.37/0.88 (define @t520 () (=> tptp.exu__Cong @t519)) % 0.37/0.88 (define @t521 () (=> tptp.exuE3u @t520)) % 0.37/0.88 (define @t522 () (=> tptp.in__Cong @t521)) % 0.37/0.88 (define @t523 () (=> tptp.inCongP @t522)) % 0.37/0.88 (define @t524 () (=> tptp.exuI2 @t523)) % 0.37/0.88 (define @t525 () (=> tptp.exuI3 @t524)) % 0.37/0.88 (define @t526 () (=> tptp.exuI1 @t525)) % 0.37/0.88 (define @t527 () (=> tptp.notdallE @t526)) % 0.37/0.88 (define @t528 () (=> tptp.notdexE @t527)) % 0.37/0.88 (define @t529 () (=> tptp.prop2set2propI @t528)) % 0.37/0.88 (define @t530 () (=> tptp.prop2setI @t529)) % 0.37/0.88 (define @t531 () (=> tptp.quantDeMorgan4 @t530)) % 0.37/0.88 (define @t532 () (=> tptp.quantDeMorgan3 @t531)) % 0.37/0.88 (define @t533 () (=> tptp.quantDeMorgan2 @t532)) % 0.37/0.88 (define @t534 () (=> tptp.quantDeMorgan1 @t533)) % 0.37/0.88 (define @t535 () (=> tptp.vacuousDall @t534)) % 0.37/0.88 (define @t536 () (=> tptp.emptyE1 @t535)) % 0.37/0.88 (define @t537 () (=> tptp.upairsetIR @t536)) % 0.37/0.88 (define @t538 () (=> tptp.upairsetIL @t537)) % 0.37/0.88 (define @t539 () (=> tptp.upairsetE @t538)) % 0.37/0.88 (define @t540 () (=> tptp.singletonsswitch @t539)) % 0.37/0.88 (define @t541 () (=> tptp.eqinunit @t540)) % 0.37/0.88 (define @t542 () (=> tptp.notinsingleton @t541)) % 0.37/0.88 (define @t543 () (=> tptp.uniqinunit @t542)) % 0.37/0.88 (define @t544 () (=> tptp.nonemptyImpWitness @t543)) % 0.37/0.88 (define @t545 () (=> tptp.exuE2 @t544)) % 0.37/0.88 (define @t546 () (=> tptp.subPowSU @t545)) % 0.37/0.88 (define @t547 () (=> tptp.setunionE @t546)) % 0.37/0.88 (define @t548 () (=> tptp.setunionI @t547)) % 0.37/0.88 (define @t549 () (=> tptp.powersetE @t548)) % 0.37/0.88 (define @t550 () (=> tptp.emptyInPowerset @t549)) % 0.37/0.88 (define @t551 () (=> tptp.emptyinPowerset @t550)) % 0.37/0.88 (define @t552 () (=> tptp.powersetI @t551)) % 0.37/0.88 (define @t553 () (=> tptp.setoftrueEq @t552)) % 0.37/0.88 (define @t554 () (=> tptp.setadjoinOr @t553)) % 0.37/0.88 (define @t555 () (=> tptp.setadjoinE @t554)) % 0.37/0.88 (define @t556 () (=> tptp.setadjoinIR @t555)) % 0.37/0.88 (define @t557 () (=> tptp.emptyinunitempty @t556)) % 0.37/0.88 (define @t558 () (=> tptp.setadjoinIL @t557)) % 0.37/0.88 (define @t559 () (=> tptp.nonemptyI1 @t558)) % 0.37/0.88 (define @t560 () (=> tptp.nonemptyI @t559)) % 0.37/0.88 (define @t561 () (=> tptp.nonemptyE1 @t560)) % 0.37/0.88 (define @t562 () (=> tptp.setbeta @t561)) % 0.37/0.88 (define @t563 () (=> tptp.noeltsimpempty @t562)) % 0.37/0.88 (define @t564 () (=> tptp.emptyI @t563)) % 0.37/0.88 (define @t565 () (=> tptp.setext @t564)) % 0.37/0.88 (define @t566 () (=> tptp.exuE3e @t565)) % 0.37/0.88 (define @t567 () (=> tptp.notinemptyset @t566)) % 0.37/0.88 (define @t568 () (=> tptp.emptysetimpfalse @t567)) % 0.37/0.88 (define @t569 () (=> tptp.emptysetE @t568)) % 0.37/0.88 (define @t570 () (=> tptp.prop2setE @t569)) % 0.37/0.88 (define @t571 () (=> tptp.exuE1 @t570)) % 0.37/0.88 (define @t572 () (=> tptp.dsetconstrER @t571)) % 0.37/0.88 (define @t573 () (=> tptp.dsetconstrEL @t572)) % 0.37/0.88 (define @t574 () (=> tptp.dsetconstrI @t573)) % 0.37/0.88 (define @t575 () (=> tptp.descrp @t574)) % 0.37/0.88 (define @t576 () (=> tptp.wellorderingAx @t575)) % 0.37/0.88 (define @t577 () (=> tptp.foundationAx @t576)) % 0.37/0.88 (define @t578 () (=> tptp.replAx @t577)) % 0.37/0.88 (define @t579 () (=> tptp.omegaIndAx @t578)) % 0.37/0.88 (define @t580 () (=> tptp.omegaSAx @t579)) % 0.37/0.88 (define @t581 () (=> tptp.omega0Ax @t580)) % 0.37/0.88 (define @t582 () (=> tptp.setunionAx @t581)) % 0.37/0.88 (define @t583 () (=> tptp.powersetAx @t582)) % 0.37/0.88 (define @t584 () (=> tptp.setadjoinAx @t583)) % 0.37/0.88 (define @t585 () (=> tptp.emptysetAx @t584)) % 0.37/0.88 (define @t586 () (=> tptp.setextAx @t585)) % 0.37/0.88 (define @t587 () (not @t586)) % 0.37/0.88 (define @t588 () (lambda @t150 @t169)) % 0.37/0.88 (define @t589 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.37/0.88 (define @t590 () (tptp.dsetconstr @t2 @t143)) % 0.37/0.88 (define @t591 () (forall @t309 (tptp.subset @t590 @t2))) % 0.37/0.88 (define @t592 () (tptp.powerset @t2)) % 0.37/0.88 (define @t593 () (tptp.powerset @t1)) % 0.37/0.88 (define @t594 () (tptp.subset @t592 @t593)) % 0.37/0.88 (define @t595 () (tptp.subset @t2 @t1)) % 0.37/0.88 (define @t596 () (not @t595)) % 0.37/0.88 (define @t597 () (tptp.in @t2 @t592)) % 0.37/0.88 (define @t598 () (tptp.subset @t1 @t2)) % 0.37/0.88 (define @t599 () (tptp.in @t1 @t592)) % 0.37/0.88 (define @t600 () (not @t599)) % 0.37/0.88 (define @t601 () (not @t598)) % 0.37/0.88 (define @t602 () (tptp.subset @t2 tptp.emptyset)) % 0.37/0.88 (define @t603 () (tptp.in @t2 @t593)) % 0.37/0.88 (define @t604 () (tptp.setadjoin @t4 @t1)) % 0.37/0.88 (define @t605 () (tptp.subset @t2 @t604)) % 0.37/0.88 (define @t606 () (tptp.setadjoin @t4 @t2)) % 0.37/0.88 (define @t607 () (tptp.subset @t2 @t606)) % 0.37/0.88 (define @t608 () (tptp.subset @t2 @t104)) % 0.37/0.88 (define @t609 () (tptp.subset @t1 @t104)) % 0.37/0.88 (define @t610 () (tptp.subset @t2 @t2)) % 0.37/0.88 (define @t611 () (=> (forall @t64 @t610) (=> (forall @t454 (or @t596 (not @t609) @t608)) (=> (forall @t458 @t607) (=> (forall @t249 (or @t596 @t605)) (=> (forall @t12 (or @t596 @t603)) (=> (forall @t12 (or @t596 @t601 @t3)) (=> (forall @t64 (or (not @t602) @t196)) (=> (forall @t12 (or @t601 @t599)) (=> (forall @t12 (or @t600 @t598)) (=> (forall @t64 @t597) (=> (forall @t12 (or @t596 @t594)) (=> (forall @t309 (tptp.in @t590 @t592)) @t591))))))))))))) % 0.37/0.88 (define @t612 () (tptp.subset @t1 @t1)) % 0.37/0.88 (define @t613 () (forall @t41 @t612)) % 0.37/0.88 (define @t614 () (tptp.in @t4 @t1)) % 0.37/0.88 (define @t615 () (tptp.in @t4 @t2)) % 0.37/0.88 (define @t616 () (not @t615)) % 0.37/0.88 (define @t617 () (forall @t245 (or @t616 @t614 @t596))) % 0.37/0.88 (define @t618 () (forall @t245 (or @t596 @t614 @t616))) % 0.37/0.88 (define @t619 () (forall @t245 (or @t596 @t616 @t614))) % 0.37/0.88 (define @t620 () (tptp.subset tptp.emptyset @t2)) % 0.37/0.88 (define @t621 () (forall @t64 @t620)) % 0.37/0.88 (define @t622 () (forall @t9 (or @t616 @t614))) % 0.37/0.88 (define @t623 () (not @t622)) % 0.37/0.88 (define @t624 () (forall @t12 (or @t623 @t595))) % 0.37/0.88 (define @t625 () (@var "BOUND_VARIABLE_9587" (-> $$unsorted Bool))) % 0.37/0.88 (define @t626 () (tptp.dsetconstr @t1 @t625)) % 0.37/0.88 (define @t627 () (@var "BOUND_VARIABLE_9589" (-> $$unsorted Bool))) % 0.37/0.88 (define @t628 () (tptp.dsetconstr @t1 @t627)) % 0.37/0.88 (define @t629 () (= @t628 @t626)) % 0.37/0.88 (define @t630 () (= (_ @t625 @t4) (_ @t627 @t4))) % 0.37/0.88 (define @t631 () (not @t614)) % 0.37/0.88 (define @t632 () (or @t631 @t630)) % 0.37/0.88 (define @t633 () (not (forall @t9 @t632))) % 0.37/0.88 (define @t634 () (or @t633 @t629)) % 0.37/0.88 (define @t635 () (@list @t1 @t625 @t627)) % 0.37/0.88 (define @t636 () (forall @t635 @t634)) % 0.37/0.88 (define @t637 () (@var "BOUND_VARIABLE_9526" $$unsorted)) % 0.37/0.88 (define @t638 () (_ @t365 @t19)) % 0.37/0.88 (define @t639 () (not @t638)) % 0.37/0.88 (define @t640 () (not (_ @t365 @t637))) % 0.37/0.88 (define @t641 () (@var "BOUND_VARIABLE_9517" $$unsorted)) % 0.37/0.88 (define @t642 () (_ @t143 @t19)) % 0.37/0.88 (define @t643 () (not @t642)) % 0.37/0.88 (define @t644 () (not (_ @t143 @t641))) % 0.37/0.88 (define @t645 () (tptp.descr @t143)) % 0.37/0.88 (define @t646 () (= @t645 (tptp.descr @t365))) % 0.37/0.88 (define @t647 () (= @t642 @t638)) % 0.37/0.88 (define @t648 () (forall @t70 @t647)) % 0.37/0.88 (define @t649 () (not @t648)) % 0.37/0.88 (define @t650 () (@list @t143 @t365 @t641 @t637)) % 0.37/0.88 (define @t651 () (forall @t650 (or @t649 @t646 @t644 (not (forall @t70 (or @t643 (= @t19 @t641)))) @t640 (not (forall @t70 (or @t639 (= @t19 @t637))))))) % 0.37/0.88 (define @t652 () (@var "BOUND_VARIABLE_9358" $$unsorted)) % 0.37/0.88 (define @t653 () (@var "BOUND_VARIABLE_9356" $$unsorted)) % 0.37/0.88 (define @t654 () (= @t653 @t652)) % 0.37/0.88 (define @t655 () (not (_ @t143 @t652))) % 0.37/0.88 (define @t656 () (not (_ @t143 @t653))) % 0.37/0.88 (define @t657 () (@var "BOUND_VARIABLE_9347" $$unsorted)) % 0.37/0.88 (define @t658 () (not (_ @t143 @t657))) % 0.37/0.88 (define @t659 () (@list @t143 @t657 @t653 @t652)) % 0.37/0.88 (define @t660 () (forall @t659 (or @t658 (not (forall @t70 (or @t643 (= @t19 @t657)))) @t656 @t655 @t654))) % 0.37/0.88 (define @t661 () (not (forall @t70 (or @t639 @t129)))) % 0.37/0.88 (define @t662 () (_ @t365 @t4)) % 0.37/0.88 (define @t663 () (forall @t9 (or (not @t662) @t661))) % 0.37/0.88 (define @t664 () (not @t663)) % 0.37/0.88 (define @t665 () (forall @t70 (or @t643 @t129))) % 0.37/0.88 (define @t666 () (not @t665)) % 0.37/0.88 (define @t667 () (_ @t143 @t4)) % 0.37/0.88 (define @t668 () (not @t667)) % 0.37/0.88 (define @t669 () (forall @t9 (or @t668 @t666))) % 0.37/0.88 (define @t670 () (not @t669)) % 0.37/0.88 (define @t671 () (= @t670 @t664)) % 0.37/0.88 (define @t672 () (forall @t375 (or @t649 @t671))) % 0.37/0.88 (define @t673 () (@var "BOUND_VARIABLE_9254" $$unsorted)) % 0.37/0.88 (define @t674 () (@list @t143 @t673)) % 0.37/0.88 (define @t675 () (forall @t674 (or (not (forall @t70 (= @t642 (= @t19 @t673)))) @t670))) % 0.37/0.88 (define @t676 () (forall @t135 (or @t668 @t643 @t129))) % 0.37/0.88 (define @t677 () (not @t676)) % 0.37/0.88 (define @t678 () (@var "BOUND_VARIABLE_9238" $$unsorted)) % 0.37/0.88 (define @t679 () (not (_ @t143 @t678))) % 0.37/0.88 (define @t680 () (or @t679 @t677 @t670)) % 0.37/0.88 (define @t681 () (forall (@list @t143 @t678) @t680)) % 0.37/0.88 (define @t682 () (=> @t681 (=> @t675 (=> @t660 (=> @t672 (=> @t660 (=> @t651 (=> @t636 (=> @t624 (=> @t613 (=> @t613 (=> @t624 (=> @t621 (=> @t619 (=> @t618 (=> @t617 (=> @t613 @t611))))))))))))))))) % 0.37/0.88 (define @t683 () (tptp.prop2set true)) % 0.37/0.88 (define @t684 () (tptp.set2prop @t683)) % 0.37/0.88 (define @t685 () (=> @t684 @t682)) % 0.37/0.88 (define @t686 () (tptp.in tptp.emptyset @t683)) % 0.37/0.88 (define @t687 () (=> @t686 @t685)) % 0.37/0.88 (define @t688 () (tptp.in @t4 tptp.emptyset)) % 0.37/0.88 (define @t689 () (not @t688)) % 0.37/0.88 (define @t690 () (forall @t312 (or @t689 @t667))) % 0.37/0.88 (define @t691 () (=> @t690 @t687)) % 0.37/0.88 (define @t692 () (@var "BOUND_VARIABLE_9147" $$unsorted)) % 0.37/0.88 (define @t693 () (not (_ @t143 @t692))) % 0.37/0.88 (define @t694 () (not (tptp.in @t692 @t2))) % 0.37/0.88 (define @t695 () (not (= tptp.emptyset @t590))) % 0.37/0.88 (define @t696 () (or @t695 @t694 @t693)) % 0.37/0.88 (define @t697 () (@list @t2 @t143 @t692)) % 0.37/0.88 (define @t698 () (forall @t697 @t696)) % 0.37/0.88 (define @t699 () (=> @t698 @t691)) % 0.37/0.88 (define @t700 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.37/0.88 (define @t701 () (tptp.setadjoin @t4 @t700)) % 0.37/0.88 (define @t702 () (tptp.in @t19 @t701)) % 0.37/0.88 (define @t703 () (forall @t135 @t702)) % 0.37/0.88 (define @t704 () (=> @t703 @t699)) % 0.37/0.88 (define @t705 () (tptp.in @t4 @t701)) % 0.37/0.88 (define @t706 () (forall @t135 @t705)) % 0.37/0.88 (define @t707 () (=> @t706 @t704)) % 0.37/0.88 (define @t708 () (= @t19 @t289)) % 0.37/0.88 (define @t709 () (= @t4 @t289)) % 0.37/0.88 (define @t710 () (tptp.in @t289 @t701)) % 0.37/0.88 (define @t711 () (forall @t295 (or (not @t710) @t709 @t708))) % 0.37/0.88 (define @t712 () (=> @t711 @t707)) % 0.37/0.88 (define @t713 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.37/0.88 (define @t714 () (tptp.in @t19 @t713)) % 0.37/0.88 (define @t715 () (tptp.in @t4 @t700)) % 0.37/0.88 (define @t716 () (not @t715)) % 0.37/0.88 (define @t717 () (forall @t135 (or @t716 @t714))) % 0.37/0.88 (define @t718 () (=> @t717 @t712)) % 0.37/0.88 (define @t719 () (tptp.in @t19 @t700)) % 0.37/0.88 (define @t720 () (forall @t70 @t719)) % 0.37/0.88 (define @t721 () (=> @t720 @t718)) % 0.37/0.88 (define @t722 () (forall @t135 (or @t129 (not @t714)))) % 0.37/0.88 (define @t723 () (=> @t722 @t721)) % 0.37/0.88 (define @t724 () (forall @t135 (or @t716 @t129))) % 0.37/0.88 (define @t725 () (=> @t724 @t723)) % 0.37/0.88 (define @t726 () (forall @t9 @t616)) % 0.37/0.88 (define @t727 () (not @t726)) % 0.37/0.88 (define @t728 () (forall @t64 (or @t196 @t727))) % 0.37/0.88 (define @t729 () (=> @t728 @t725)) % 0.37/0.88 (define @t730 () (@var "BOUND_VARIABLE_9031" $$unsorted)) % 0.37/0.88 (define @t731 () (not (_ @t143 @t730))) % 0.37/0.88 (define @t732 () (forall @t70 (= @t129 @t642))) % 0.37/0.88 (define @t733 () (forall @t9 (not @t732))) % 0.37/0.88 (define @t734 () (not @t733)) % 0.37/0.88 (define @t735 () (@list @t143 @t730)) % 0.37/0.88 (define @t736 () (forall @t735 (or @t734 @t731 (not (forall @t70 (or @t643 (= @t19 @t730))))))) % 0.37/0.88 (define @t737 () (=> @t736 @t729)) % 0.37/0.88 (define @t738 () (tptp.setunion @t2)) % 0.37/0.88 (define @t739 () (tptp.powerset @t738)) % 0.37/0.88 (define @t740 () (tptp.in @t4 @t739)) % 0.37/0.88 (define @t741 () (forall @t46 (or @t616 @t740))) % 0.37/0.88 (define @t742 () (=> @t741 @t737)) % 0.37/0.88 (define @t743 () (tptp.in @t1 @t2)) % 0.37/0.88 (define @t744 () (not @t743)) % 0.37/0.88 (define @t745 () (forall @t41 (or @t631 @t744))) % 0.37/0.88 (define @t746 () (not @t745)) % 0.37/0.88 (define @t747 () (tptp.in @t4 @t738)) % 0.37/0.88 (define @t748 () (forall @t46 (or (not @t747) @t746))) % 0.37/0.88 (define @t749 () (=> @t748 @t742)) % 0.37/0.88 (define @t750 () (forall @t249 (or @t631 @t744 @t747))) % 0.37/0.88 (define @t751 () (=> @t750 @t749)) % 0.37/0.88 (define @t752 () (forall @t245 (or @t600 @t631 @t615))) % 0.37/0.88 (define @t753 () (=> @t752 @t751)) % 0.37/0.88 (define @t754 () (tptp.in tptp.emptyset @t592)) % 0.37/0.88 (define @t755 () (forall @t64 @t754)) % 0.37/0.88 (define @t756 () (=> @t755 @t753)) % 0.37/0.88 (define @t757 () (=> @t755 @t756)) % 0.37/0.88 (define @t758 () (forall @t9 (or @t631 @t615))) % 0.37/0.88 (define @t759 () (not @t758)) % 0.37/0.88 (define @t760 () (forall @t12 (or @t759 @t599))) % 0.37/0.88 (define @t761 () (=> @t760 @t757)) % 0.37/0.88 (define @t762 () (@var "BOUND_VARIABLE_21558" $$unsorted)) % 0.37/0.88 (define @t763 () (lambda (@list @t762) true)) % 0.37/0.88 (define @t764 () (tptp.dsetconstr @t2 @t763)) % 0.37/0.88 (define @t765 () (forall @t64 (= @t2 @t764))) % 0.37/0.88 (define @t766 () (=> @t765 @t761)) % 0.37/0.88 (define @t767 () (tptp.in @t19 @t2)) % 0.37/0.88 (define @t768 () (tptp.in @t19 @t606)) % 0.37/0.88 (define @t769 () (forall @t28 (or (not @t768) @t129 @t767))) % 0.37/0.88 (define @t770 () (=> @t769 @t766)) % 0.37/0.88 (define @t771 () (=> @t769 @t770)) % 0.37/0.88 (define @t772 () (not @t767)) % 0.37/0.88 (define @t773 () (forall @t28 (or @t772 @t768))) % 0.37/0.88 (define @t774 () (=> @t773 @t771)) % 0.37/0.88 (define @t775 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.37/0.88 (define @t776 () (tptp.in tptp.emptyset @t775)) % 0.37/0.88 (define @t777 () (=> @t221 @t774)) % 0.37/0.88 (define @t778 () (tptp.setadjoin @t4 @t19)) % 0.37/0.88 (define @t779 () (tptp.in @t4 @t778)) % 0.37/0.88 (define @t780 () (forall @t135 @t779)) % 0.37/0.88 (define @t781 () (=> @t780 @t777)) % 0.37/0.88 (define @t782 () (@var "BOUND_VARIABLE_8872" $$unsorted)) % 0.37/0.88 (define @t783 () (not (tptp.in @t782 tptp.emptyset))) % 0.37/0.88 (define @t784 () (@list @t782)) % 0.37/0.88 (define @t785 () (forall @t784 @t783)) % 0.37/0.88 (define @t786 () (=> @t785 @t781)) % 0.37/0.88 (define @t787 () (forall @t159 (or @t616 @t668 @t695))) % 0.37/0.88 (define @t788 () (=> @t787 @t786)) % 0.37/0.88 (define @t789 () (=> @t728 @t788)) % 0.37/0.88 (define @t790 () (tptp.in @t4 @t590)) % 0.37/0.88 (define @t791 () (forall @t159 (or @t616 (= @t667 @t790)))) % 0.37/0.88 (define @t792 () (=> @t791 @t789)) % 0.37/0.88 (define @t793 () (forall @t64 (or @t727 @t196))) % 0.37/0.88 (define @t794 () (=> @t793 @t792)) % 0.37/0.88 (define @t795 () (=> @t793 @t794)) % 0.37/0.88 (define @t796 () (or @t623 @t759 @t3)) % 0.37/0.88 (define @t797 () (forall @t12 @t796)) % 0.37/0.88 (define @t798 () (=> @t797 @t795)) % 0.37/0.88 (define @t799 () (@var "BOUND_VARIABLE_8769" $$unsorted)) % 0.37/0.88 (define @t800 () (not (_ @t143 @t799))) % 0.37/0.88 (define @t801 () (forall @t9 @t668)) % 0.37/0.88 (define @t802 () (not @t801)) % 0.37/0.88 (define @t803 () (@list @t143 @t799)) % 0.37/0.88 (define @t804 () (forall @t803 (or @t802 @t800 (not (forall @t70 (or @t643 (= @t19 @t799))))))) % 0.37/0.88 (define @t805 () (=> @t804 @t798)) % 0.37/0.88 (define @t806 () (forall @t9 @t689)) % 0.37/0.88 (define @t807 () (=> @t806 @t805)) % 0.37/0.88 (define @t808 () (=> @t806 @t807)) % 0.37/0.88 (define @t809 () (=> @t806 @t808)) % 0.37/0.88 (define @t810 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.37/0.88 (define @t811 () (forall @t9 @t810)) % 0.37/0.88 (define @t812 () (=> @t811 @t809)) % 0.37/0.88 (define @t813 () (not @t790)) % 0.37/0.88 (define @t814 () (forall @t159 (or @t813 @t667))) % 0.37/0.88 (define @t815 () (=> @t814 @t812)) % 0.37/0.88 (define @t816 () (forall @t159 (or @t813 @t615))) % 0.37/0.88 (define @t817 () (=> @t816 @t815)) % 0.37/0.88 (define @t818 () (forall @t159 (or @t616 @t668 @t790))) % 0.37/0.88 (define @t819 () (=> @t818 @t817)) % 0.37/0.88 (define @t820 () (@var "BOUND_VARIABLE_8668" $$unsorted)) % 0.37/0.88 (define @t821 () (not (_ @t143 @t820))) % 0.37/0.88 (define @t822 () (_ @t143 @t645)) % 0.37/0.88 (define @t823 () (@list @t143 @t820)) % 0.37/0.88 (define @t824 () (forall @t823 (or @t822 @t821 (not (forall @t70 (or @t643 (= @t19 @t820))))))) % 0.37/0.88 (define @t825 () (=> @t824 @t819)) % 0.37/0.88 (define @t826 () (@var "BOUND_VARIABLE_8588" $$unsorted)) % 0.37/0.88 (define @t827 () (tptp.in @t826 @t95)) % 0.37/0.88 (define @t828 () (not (tptp.in @t826 @t93))) % 0.37/0.88 (define @t829 () (tptp.in @t4 @t93)) % 0.37/0.88 (define @t830 () (tptp.in @t93 @t1)) % 0.37/0.88 (define @t831 () (not @t830)) % 0.37/0.88 (define @t832 () (or @t831 @t829 @t828 @t827)) % 0.37/0.88 (define @t833 () (@list @t93 @t826)) % 0.37/0.88 (define @t834 () (forall @t833 @t832)) % 0.37/0.88 (define @t835 () (not @t834)) % 0.37/0.88 (define @t836 () (tptp.in @t19 @t104)) % 0.37/0.88 (define @t837 () (tptp.in @t19 @t95)) % 0.37/0.88 (define @t838 () (forall @t70 (or (not @t837) (not @t836)))) % 0.37/0.88 (define @t839 () (not @t838)) % 0.37/0.88 (define @t840 () (tptp.in @t4 @t104)) % 0.37/0.88 (define @t841 () (not @t840)) % 0.37/0.88 (define @t842 () (tptp.in @t95 @t1)) % 0.37/0.88 (define @t843 () (not @t842)) % 0.37/0.88 (define @t844 () (not (forall @t112 (or @t843 @t841 @t839 @t835)))) % 0.37/0.88 (define @t845 () (@var "BOUND_VARIABLE_8617" $$unsorted)) % 0.37/0.88 (define @t846 () (not (tptp.in @t845 @t104))) % 0.37/0.88 (define @t847 () (forall @t9 (or @t841 @t615))) % 0.37/0.88 (define @t848 () (not @t847)) % 0.37/0.88 (define @t849 () (or @t848 @t846 @t844)) % 0.37/0.88 (define @t850 () (forall (@list @t104 @t845) @t849)) % 0.37/0.88 (define @t851 () (not @t850)) % 0.37/0.88 (define @t852 () (@var "BOUND_VARIABLE_8540" $$unsorted)) % 0.37/0.88 (define @t853 () (tptp.in @t852 @t104)) % 0.37/0.88 (define @t854 () (not (tptp.in @t852 @t95))) % 0.37/0.88 (define @t855 () (@var "BOUND_VARIABLE_8534" $$unsorted)) % 0.37/0.88 (define @t856 () (tptp.in @t855 @t95)) % 0.37/0.88 (define @t857 () (not (tptp.in @t855 @t104))) % 0.37/0.88 (define @t858 () (tptp.in @t104 @t1)) % 0.37/0.88 (define @t859 () (not @t858)) % 0.37/0.88 (define @t860 () (or @t859 @t843 @t857 @t856 @t854 @t853)) % 0.37/0.88 (define @t861 () (@list @t104 @t95 @t855 @t852)) % 0.37/0.88 (define @t862 () (forall @t861 @t860)) % 0.37/0.88 (define @t863 () (not @t862)) % 0.37/0.88 (define @t864 () (forall @t118 (or @t859 (= @t840 @t836)))) % 0.37/0.88 (define @t865 () (not @t864)) % 0.37/0.88 (define @t866 () (forall @t135 (or @t616 @t772 @t865 @t129))) % 0.37/0.88 (define @t867 () (not @t866)) % 0.37/0.88 (define @t868 () (@var "BOUND_VARIABLE_8483" $$unsorted)) % 0.37/0.88 (define @t869 () (tptp.in @t868 @t2)) % 0.37/0.88 (define @t870 () (not (tptp.in @t868 @t104))) % 0.37/0.88 (define @t871 () (or @t859 @t870 @t869)) % 0.37/0.88 (define @t872 () (@list @t104 @t868)) % 0.37/0.88 (define @t873 () (forall @t872 @t871)) % 0.37/0.88 (define @t874 () (not @t873)) % 0.37/0.88 (define @t875 () (or @t874 @t867 @t863 @t851)) % 0.37/0.88 (define @t876 () (forall @t64 (not (forall @t41 @t875)))) % 0.37/0.88 (define @t877 () (=> @t876 @t825)) % 0.37/0.88 (define @t878 () (forall @t9 (or @t631 @t616))) % 0.37/0.88 (define @t879 () (not @t878)) % 0.37/0.88 (define @t880 () (not (forall @t41 (or @t744 @t879)))) % 0.37/0.88 (define @t881 () (@var "BOUND_VARIABLE_8458" $$unsorted)) % 0.37/0.88 (define @t882 () (not (tptp.in @t881 @t2))) % 0.37/0.88 (define @t883 () (or @t882 @t880)) % 0.37/0.88 (define @t884 () (forall (@list @t2 @t881) @t883)) % 0.37/0.88 (define @t885 () (=> @t884 @t877)) % 0.37/0.88 (define @t886 () (_ @t67 @t19 @t4)) % 0.37/0.88 (define @t887 () (not (forall @t70 (or @t772 (not @t886))))) % 0.37/0.88 (define @t888 () (forall @t9 (= @t614 @t887))) % 0.37/0.88 (define @t889 () (not (forall @t41 (not @t888)))) % 0.37/0.88 (define @t890 () (@var "BOUND_VARIABLE_8348" $$unsorted)) % 0.37/0.88 (define @t891 () (= @t19 @t890)) % 0.37/0.88 (define @t892 () (_ @t67 @t4 @t19)) % 0.37/0.88 (define @t893 () (not (forall @t70 (or (not @t892) @t891)))) % 0.37/0.88 (define @t894 () (_ @t67 @t4 @t890)) % 0.37/0.88 (define @t895 () (@list @t890)) % 0.37/0.88 (define @t896 () (not (forall @t895 (or (not @t894) @t893)))) % 0.37/0.88 (define @t897 () (forall @t9 (or @t616 @t896))) % 0.37/0.88 (define @t898 () (forall @t81 (or (not @t897) @t889))) % 0.37/0.88 (define @t899 () (=> @t898 @t885)) % 0.37/0.88 (define @t900 () (@var "BOUND_VARIABLE_8329" $$unsorted)) % 0.37/0.88 (define @t901 () (tptp.in @t900 @t2)) % 0.37/0.88 (define @t902 () (not (tptp.in @t900 tptp.omega))) % 0.37/0.88 (define @t903 () (tptp.setadjoin @t4 @t4)) % 0.37/0.88 (define @t904 () (tptp.in @t903 @t2)) % 0.37/0.88 (define @t905 () (tptp.in @t4 tptp.omega)) % 0.37/0.88 (define @t906 () (not @t905)) % 0.37/0.88 (define @t907 () (forall @t9 (or @t906 @t616 @t904))) % 0.37/0.88 (define @t908 () (not @t907)) % 0.37/0.88 (define @t909 () (tptp.in tptp.emptyset @t2)) % 0.37/0.88 (define @t910 () (not @t909)) % 0.37/0.88 (define @t911 () (or @t910 @t908 @t902 @t901)) % 0.37/0.88 (define @t912 () (@list @t2 @t900)) % 0.37/0.88 (define @t913 () (forall @t912 @t911)) % 0.37/0.88 (define @t914 () (=> @t913 @t899)) % 0.37/0.88 (define @t915 () (tptp.in @t903 tptp.omega)) % 0.37/0.88 (define @t916 () (forall @t9 (or @t906 @t915))) % 0.37/0.88 (define @t917 () (=> @t916 @t914)) % 0.37/0.88 (define @t918 () (tptp.in tptp.emptyset tptp.omega)) % 0.37/0.88 (define @t919 () (=> @t50 @t917)) % 0.37/0.88 (define @t920 () (forall @t46 (= @t746 @t747))) % 0.37/0.88 (define @t921 () (=> @t920 @t919)) % 0.37/0.88 (define @t922 () (forall @t12 (= @t758 @t599))) % 0.37/0.88 (define @t923 () (=> @t922 @t921)) % 0.37/0.88 (define @t924 () (or @t129 @t767)) % 0.37/0.88 (define @t925 () (forall @t28 (= @t768 @t924))) % 0.37/0.88 (define @t926 () (=> @t925 @t923)) % 0.37/0.88 (define @t927 () (=> @t806 @t926)) % 0.37/0.88 (define @t928 () (forall @t9 (= @t615 @t614))) % 0.37/0.88 (define @t929 () (forall @t12 (or (not @t928) @t3))) % 0.37/0.88 (define @t930 () (=> @t929 @t927)) % 0.37/0.88 (define @t931 () (=> @t613 (=> true @t611))) % 0.37/0.88 (define @t932 () (=> @t617 @t931)) % 0.37/0.88 (define @t933 () (=> @t618 @t932)) % 0.37/0.88 (define @t934 () (=> @t619 @t933)) % 0.37/0.88 (define @t935 () (=> @t621 @t934)) % 0.37/0.88 (define @t936 () (=> @t624 @t935)) % 0.37/0.88 (define @t937 () (=> @t613 @t936)) % 0.37/0.88 (define @t938 () (=> @t613 @t937)) % 0.37/0.88 (define @t939 () (=> @t624 @t938)) % 0.37/0.88 (define @t940 () (=> @t636 @t939)) % 0.37/0.88 (define @t941 () (=> @t651 @t940)) % 0.37/0.88 (define @t942 () (=> @t660 @t941)) % 0.37/0.88 (define @t943 () (=> true (=> true @t942))) % 0.37/0.88 (define @t944 () (=> true @t943)) % 0.37/0.88 (define @t945 () (=> true @t944)) % 0.37/0.88 (define @t946 () (=> true @t945)) % 0.37/0.88 (define @t947 () (=> @t672 @t946)) % 0.37/0.88 (define @t948 () (=> @t660 @t947)) % 0.37/0.88 (define @t949 () (=> true (=> true @t948))) % 0.37/0.88 (define @t950 () (=> @t675 @t949)) % 0.37/0.88 (define @t951 () (=> @t681 @t950)) % 0.37/0.88 (define @t952 () (=> true (=> true @t951))) % 0.37/0.88 (define @t953 () (=> true @t952)) % 0.37/0.88 (define @t954 () (=> @t684 @t953)) % 0.37/0.88 (define @t955 () (=> @t686 @t954)) % 0.37/0.88 (define @t956 () (=> true (=> true @t955))) % 0.37/0.88 (define @t957 () (=> true @t956)) % 0.37/0.88 (define @t958 () (=> true @t957)) % 0.37/0.88 (define @t959 () (=> @t690 @t958)) % 0.37/0.88 (define @t960 () (=> @t698 @t959)) % 0.37/0.88 (define @t961 () (=> @t703 @t960)) % 0.37/0.88 (define @t962 () (=> @t706 @t961)) % 0.37/0.88 (define @t963 () (=> @t711 @t962)) % 0.37/0.88 (define @t964 () (=> @t717 @t963)) % 0.37/0.88 (define @t965 () (=> @t720 @t964)) % 0.37/0.88 (define @t966 () (=> @t722 @t965)) % 0.37/0.88 (define @t967 () (=> @t724 @t966)) % 0.37/0.88 (define @t968 () (=> @t728 @t967)) % 0.37/0.88 (define @t969 () (=> @t736 @t968)) % 0.37/0.88 (define @t970 () (=> @t741 @t969)) % 0.37/0.88 (define @t971 () (=> @t748 @t970)) % 0.37/0.88 (define @t972 () (=> @t750 @t971)) % 0.37/0.88 (define @t973 () (=> @t752 @t972)) % 0.37/0.88 (define @t974 () (=> @t755 @t973)) % 0.37/0.88 (define @t975 () (=> @t755 @t974)) % 0.37/0.88 (define @t976 () (=> @t760 @t975)) % 0.37/0.88 (define @t977 () (=> @t765 @t976)) % 0.37/0.88 (define @t978 () (=> @t769 @t977)) % 0.37/0.88 (define @t979 () (=> @t769 @t978)) % 0.37/0.88 (define @t980 () (=> @t773 @t979)) % 0.37/0.88 (define @t981 () (=> @t221 @t980)) % 0.37/0.88 (define @t982 () (=> @t780 @t981)) % 0.37/0.88 (define @t983 () (=> @t785 @t982)) % 0.37/0.88 (define @t984 () (=> @t787 @t983)) % 0.37/0.88 (define @t985 () (=> @t728 @t984)) % 0.37/0.88 (define @t986 () (=> @t791 @t985)) % 0.37/0.88 (define @t987 () (=> @t793 @t986)) % 0.37/0.88 (define @t988 () (=> @t793 @t987)) % 0.37/0.88 (define @t989 () (=> @t797 @t988)) % 0.37/0.88 (define @t990 () (=> @t804 @t989)) % 0.37/0.88 (define @t991 () (=> @t806 @t990)) % 0.37/0.88 (define @t992 () (=> @t806 @t991)) % 0.37/0.88 (define @t993 () (=> @t806 @t992)) % 0.37/0.88 (define @t994 () (=> @t811 @t993)) % 0.37/0.88 (define @t995 () (=> @t814 (=> true @t994))) % 0.37/0.88 (define @t996 () (=> @t816 @t995)) % 0.37/0.88 (define @t997 () (=> @t818 @t996)) % 0.37/0.88 (define @t998 () (=> @t824 @t997)) % 0.37/0.89 (define @t999 () (=> @t876 @t998)) % 0.37/0.89 (define @t1000 () (=> @t884 @t999)) % 0.37/0.89 (define @t1001 () (=> @t898 @t1000)) % 0.37/0.89 (define @t1002 () (=> @t913 @t1001)) % 0.37/0.89 (define @t1003 () (=> @t916 @t1002)) % 0.37/0.89 (define @t1004 () (=> @t50 @t1003)) % 0.37/0.89 (define @t1005 () (=> @t920 @t1004)) % 0.37/0.89 (define @t1006 () (=> @t922 @t1005)) % 0.37/0.89 (define @t1007 () (=> @t925 @t1006)) % 0.37/0.89 (define @t1008 () (=> @t806 @t1007)) % 0.37/0.89 (define @t1009 () (=> @t929 @t1008)) % 0.37/0.89 (define @t1010 () (lambda @t9 @t667)) % 0.37/0.89 (define @t1011 () (tptp.dsetconstr @t2 @t1010)) % 0.37/0.89 (define @t1012 () (tptp.in @t1011 @t592)) % 0.37/0.89 (define @t1013 () (=> tptp.sepInPowerset @t591)) % 0.37/0.89 (define @t1014 () (or @t438 @t482)) % 0.37/0.89 (define @t1015 () (=> tptp.powersetsubset @t1013)) % 0.37/0.89 (define @t1016 () (=> tptp.inPowerset @t1015)) % 0.37/0.89 (define @t1017 () (not @t35)) % 0.37/0.89 (define @t1018 () (or @t1017 @t424)) % 0.37/0.89 (define @t1019 () (=> tptp.powersetE1 @t1016)) % 0.37/0.89 (define @t1020 () (not @t424)) % 0.37/0.89 (define @t1021 () (or @t1020 @t35)) % 0.37/0.89 (define @t1022 () (=> tptp.powersetI1 @t1019)) % 0.37/0.89 (define @t1023 () (not @t472)) % 0.37/0.89 (define @t1024 () (or @t1023 @t196)) % 0.37/0.89 (define @t1025 () (=> tptp.subsetemptysetimpeq @t1022)) % 0.37/0.89 (define @t1026 () (or @t438 @t1020 @t3)) % 0.37/0.89 (define @t1027 () (=> tptp.setextsub @t1025)) % 0.37/0.89 (define @t1028 () (or @t438 @t466)) % 0.37/0.89 (define @t1029 () (=> tptp.subset2powerset @t1027)) % 0.37/0.89 (define @t1030 () (or @t438 @t462)) % 0.37/0.89 (define @t1031 () (=> tptp.setadjoinSub2 @t1029)) % 0.37/0.89 (define @t1032 () (=> tptp.setadjoinSub @t1031)) % 0.37/0.89 (define @t1033 () (not @t452)) % 0.37/0.89 (define @t1034 () (or @t438 @t1033 @t451)) % 0.37/0.89 (define @t1035 () (=> tptp.subsetTrans @t1032)) % 0.37/0.89 (define @t1036 () (=> tptp.subsetRefl @t1035)) % 0.37/0.89 (define @t1037 () (@list @t1 @t4)) % 0.37/0.89 (define @t1038 () (or @t631 @t614)) % 0.37/0.89 (define @t1039 () (not true)) % 0.37/0.89 (define @t1040 () (not (= @t1 @t1))) % 0.37/0.89 (define @t1041 () (or @t631 @t614 @t1040)) % 0.37/0.89 (define @t1042 () (or @t442 @t616 @t614 @t442)) % 0.37/0.89 (define @t1043 () (or @t616 @t614 @t442)) % 0.37/0.89 (define @t1044 () (forall @t64 @t1043)) % 0.37/0.89 (define @t1045 () (forall @t1037 @t1044)) % 0.37/0.89 (define @t1046 () (forall (@list @t1 @t4 @t2) @t1043)) % 0.37/0.89 (define @t1047 () (or @t197 @t6 @t442)) % 0.37/0.89 (define @t1048 () (not @t434)) % 0.37/0.89 (define @t1049 () (=> tptp.notequalI2 @t1036)) % 0.37/0.89 (define @t1050 () (or @t612 @t1040)) % 0.37/0.89 (define @t1051 () (or @t442 @t595 @t442)) % 0.37/0.89 (define @t1052 () (or @t595 @t442)) % 0.37/0.89 (define @t1053 () (forall @t64 @t1052)) % 0.37/0.89 (define @t1054 () (forall @t41 @t1053)) % 0.37/0.89 (define @t1055 () (@list @t1 @t2)) % 0.37/0.89 (define @t1056 () (forall @t1055 @t1052)) % 0.37/0.89 (define @t1057 () (or @t419 @t442)) % 0.37/0.89 (define @t1058 () (=> tptp.notequalI1 @t1049)) % 0.37/0.89 (define @t1059 () (or @t197 @t6 @t438)) % 0.37/0.89 (define @t1060 () (=> tptp.notsubsetI @t1058)) % 0.37/0.89 (define @t1061 () (or @t438 @t6 @t197)) % 0.37/0.89 (define @t1062 () (=> tptp.subsetE2 @t1060)) % 0.37/0.89 (define @t1063 () (or @t438 @t197 @t6)) % 0.37/0.89 (define @t1064 () (or @t197 @t6)) % 0.37/0.89 (define @t1065 () (=> tptp.subsetE @t1062)) % 0.37/0.89 (define @t1066 () (=> tptp.emptysetsubset @t1065)) % 0.37/0.89 (define @t1067 () (or @t623 @t419)) % 0.37/0.89 (define @t1068 () (=> tptp.subsetI2 @t1066)) % 0.37/0.89 (define @t1069 () (or @t1040 @t612)) % 0.37/0.89 (define @t1070 () (or @t442 @t442 @t595)) % 0.37/0.89 (define @t1071 () (or @t442 @t595)) % 0.37/0.89 (define @t1072 () (forall @t64 @t1071)) % 0.37/0.89 (define @t1073 () (forall @t41 @t1072)) % 0.37/0.89 (define @t1074 () (forall @t1055 @t1071)) % 0.37/0.89 (define @t1075 () (or @t442 @t419)) % 0.37/0.89 (define @t1076 () (=> tptp.eqimpsubset1 @t1068)) % 0.37/0.89 (define @t1077 () (or @t442 @t442 @t598)) % 0.37/0.89 (define @t1078 () (or @t442 @t598)) % 0.37/0.89 (define @t1079 () (forall @t64 @t1078)) % 0.37/0.89 (define @t1080 () (forall @t41 @t1079)) % 0.37/0.89 (define @t1081 () (forall @t1055 @t1078)) % 0.37/0.89 (define @t1082 () (or @t442 @t424)) % 0.37/0.89 (define @t1083 () (=> tptp.eqimpsubset2 @t1076)) % 0.37/0.89 (define @t1084 () (=> tptp.subsetI1 @t1083)) % 0.37/0.89 (define @t1085 () (or @t631 @t631 @t630)) % 0.37/0.89 (define @t1086 () (forall @t9 @t1085)) % 0.37/0.89 (define @t1087 () (not @t1086)) % 0.37/0.89 (define @t1088 () (or @t1040 @t1087 (= @t626 @t628))) % 0.37/0.89 (define @t1089 () (= (tptp.dsetconstr @t2 @t625) @t628)) % 0.37/0.89 (define @t1090 () (not (forall @t9 (or @t616 @t631 @t630)))) % 0.37/0.89 (define @t1091 () (or @t442 @t442 @t1090 @t1089)) % 0.37/0.89 (define @t1092 () (or @t442 @t1090 @t1089)) % 0.37/0.89 (define @t1093 () (forall @t64 @t1092)) % 0.37/0.89 (define @t1094 () (forall @t635 @t1093)) % 0.37/0.89 (define @t1095 () (forall (@list @t1 @t625 @t627 @t2) @t1092)) % 0.37/0.89 (define @t1096 () (@list @t2 @t1 @t625 @t627)) % 0.37/0.89 (define @t1097 () (or @t1090 @t1089)) % 0.37/0.89 (define @t1098 () (or @t442 @t1097)) % 0.37/0.89 (define @t1099 () (forall @t1096 @t1098)) % 0.37/0.89 (define @t1100 () (@list @t625 @t627)) % 0.37/0.89 (define @t1101 () (forall @t1100 @t1098)) % 0.37/0.89 (define @t1102 () (forall @t1100 @t1097)) % 0.37/0.89 (define @t1103 () (or @t442 @t1102)) % 0.37/0.89 (define @t1104 () (= @t667 @t662)) % 0.37/0.89 (define @t1105 () (forall @t9 (or @t616 @t631 @t1104))) % 0.37/0.89 (define @t1106 () (not @t1105)) % 0.37/0.89 (define @t1107 () (forall @t375 (or @t1106 (= @t590 (tptp.dsetconstr @t1 @t365))))) % 0.37/0.89 (define @t1108 () (lambda @t9 @t662)) % 0.37/0.89 (define @t1109 () (tptp.dsetconstr @t1 @t1108)) % 0.37/0.89 (define @t1110 () (= @t1011 @t1109)) % 0.37/0.89 (define @t1111 () (or @t1106 @t1110)) % 0.37/0.89 (define @t1112 () (or @t1106 @t409)) % 0.37/0.89 (define @t1113 () (or @t197 @t631 @t1104)) % 0.37/0.89 (define @t1114 () (or @t631 @t1104)) % 0.37/0.89 (define @t1115 () (not (= @t4 @t4))) % 0.37/0.89 (define @t1116 () (or @t631 @t1115 @t1104)) % 0.37/0.89 (define @t1117 () (= @t667 @t638)) % 0.37/0.89 (define @t1118 () (tptp.in @t19 @t1)) % 0.37/0.89 (define @t1119 () (not @t1118)) % 0.37/0.89 (define @t1120 () (or @t282 @t1119 @t282 @t1117)) % 0.37/0.89 (define @t1121 () (or @t1119 @t282 @t1117)) % 0.37/0.89 (define @t1122 () (not @t351)) % 0.37/0.89 (define @t1123 () (or @t1122 @t282 @t371)) % 0.37/0.89 (define @t1124 () (or @t282 @t371)) % 0.37/0.89 (define @t1125 () (=> tptp.dsetconstr__Cong @t1084)) % 0.37/0.89 (define @t1126 () (or @t639 (= @t637 @t19))) % 0.37/0.89 (define @t1127 () (forall @t70 @t1126)) % 0.37/0.89 (define @t1128 () (not @t1127)) % 0.37/0.89 (define @t1129 () (or @t643 (= @t641 @t19))) % 0.37/0.89 (define @t1130 () (forall @t70 @t1129)) % 0.37/0.89 (define @t1131 () (not @t1130)) % 0.37/0.89 (define @t1132 () (or @t649 @t646 @t644 @t1131 @t640 @t1128)) % 0.37/0.89 (define @t1133 () (or @t640 @t1128)) % 0.37/0.89 (define @t1134 () (or @t644 @t1131)) % 0.37/0.89 (define @t1135 () (or @t649 @t1134 @t1133 @t646)) % 0.37/0.89 (define @t1136 () (forall @t650 @t1135)) % 0.37/0.89 (define @t1137 () (forall (@list @t641 @t637) @t1135)) % 0.37/0.89 (define @t1138 () (forall (@list @t637) @t1133)) % 0.37/0.89 (define @t1139 () (@list @t4)) % 0.37/0.89 (define @t1140 () (forall (@list @t641) @t1134)) % 0.37/0.89 (define @t1141 () (or @t649 @t1140 @t1138 @t646)) % 0.37/0.89 (define @t1142 () (tptp.descr @t1108)) % 0.37/0.89 (define @t1143 () (tptp.descr @t1010)) % 0.37/0.89 (define @t1144 () (= @t1143 @t1142)) % 0.37/0.89 (define @t1145 () (or @t649 @t669 @t663 @t1144)) % 0.37/0.89 (define @t1146 () (or @t649 @t669 @t663 @t401)) % 0.37/0.89 (define @t1147 () (or @t669 @t663 @t401)) % 0.37/0.89 (define @t1148 () (=> @t664 @t401)) % 0.37/0.89 (define @t1149 () (not @t670)) % 0.37/0.89 (define @t1150 () (=> @t670 @t1148)) % 0.37/0.89 (define @t1151 () (not @t366)) % 0.37/0.89 (define @t1152 () (or @t1151 @t661)) % 0.37/0.89 (define @t1153 () (not @t370)) % 0.37/0.89 (define @t1154 () (or @t1153 @t129)) % 0.37/0.89 (define @t1155 () (_ @t367 @t19)) % 0.37/0.89 (define @t1156 () (not @t1155)) % 0.37/0.89 (define @t1157 () (or @t1156 @t129)) % 0.37/0.89 (define @t1158 () (forall @t70 @t1157)) % 0.37/0.89 (define @t1159 () (not @t1158)) % 0.37/0.89 (define @t1160 () (_ @t367 @t4)) % 0.37/0.89 (define @t1161 () (not @t1160)) % 0.37/0.89 (define @t1162 () (or @t1161 @t1159)) % 0.37/0.89 (define @t1163 () (forall @t9 @t1162)) % 0.37/0.89 (define @t1164 () (not @t1163)) % 0.37/0.89 (define @t1165 () (lambda @t150 @t670)) % 0.37/0.89 (define @t1166 () (_ @t1165 @t367)) % 0.37/0.89 (define @t1167 () (=> @t1166 @t401)) % 0.37/0.89 (define @t1168 () (or @t315 @t666)) % 0.37/0.89 (define @t1169 () (not @t153)) % 0.37/0.89 (define @t1170 () (or @t1169 @t129)) % 0.37/0.89 (define @t1171 () (_ @t145 @t19)) % 0.37/0.89 (define @t1172 () (not @t1171)) % 0.37/0.89 (define @t1173 () (or @t1172 @t129)) % 0.37/0.89 (define @t1174 () (forall @t70 @t1173)) % 0.37/0.89 (define @t1175 () (not @t1174)) % 0.37/0.89 (define @t1176 () (_ @t145 @t4)) % 0.37/0.89 (define @t1177 () (not @t1176)) % 0.37/0.89 (define @t1178 () (or @t1177 @t1175)) % 0.37/0.89 (define @t1179 () (forall @t9 @t1178)) % 0.37/0.89 (define @t1180 () (not @t1179)) % 0.37/0.89 (define @t1181 () (_ @t1165 @t145)) % 0.37/0.89 (define @t1182 () (=> @t1181 @t1167)) % 0.37/0.89 (define @t1183 () (not (= @t19 @t19))) % 0.37/0.89 (define @t1184 () (or @t1183 @t647)) % 0.37/0.89 (define @t1185 () (or @t282 @t282 @t1117)) % 0.37/0.89 (define @t1186 () (or @t282 @t1117)) % 0.37/0.89 (define @t1187 () (forall @t9 @t1186)) % 0.37/0.89 (define @t1188 () (forall @t70 @t1187)) % 0.37/0.89 (define @t1189 () (@list @t19 @t4)) % 0.37/0.89 (define @t1190 () (forall @t1189 @t1186)) % 0.37/0.89 (define @t1191 () (=> @t373 @t1182)) % 0.37/0.89 (define @t1192 () (forall @t375 @t1191)) % 0.37/0.89 (define @t1193 () (and @t144 @t665)) % 0.37/0.89 (define @t1194 () (forall @t9 (not @t1193))) % 0.37/0.89 (define @t1195 () (not @t1194)) % 0.37/0.89 (define @t1196 () (=> tptp.descr__Cong @t1125)) % 0.37/0.89 (define @t1197 () (or @t643 (= @t657 @t19))) % 0.37/0.89 (define @t1198 () (forall @t70 @t1197)) % 0.37/0.89 (define @t1199 () (not @t1198)) % 0.37/0.89 (define @t1200 () (or @t658 @t1199 @t656 @t655 @t654)) % 0.37/0.89 (define @t1201 () (or @t656 @t655 @t654)) % 0.37/0.89 (define @t1202 () (or @t658 @t1199)) % 0.37/0.89 (define @t1203 () (or @t1202 @t1201)) % 0.37/0.89 (define @t1204 () (forall @t659 @t1203)) % 0.37/0.89 (define @t1205 () (forall (@list @t657 @t653 @t652) @t1203)) % 0.37/0.89 (define @t1206 () (forall (@list @t653 @t652) @t1201)) % 0.37/0.89 (define @t1207 () (forall (@list @t657) @t1202)) % 0.37/0.89 (define @t1208 () (or @t1207 @t1206)) % 0.37/0.89 (define @t1209 () (or @t315 @t1169 @t129)) % 0.37/0.89 (define @t1210 () (=> @t1181 @t343)) % 0.37/0.89 (define @t1211 () (forall @t150 @t1210)) % 0.37/0.89 (define @t1212 () (=> tptp.exuEu @t1196)) % 0.37/0.89 (define @t1213 () (=> tptp.omega__Cong @t1212)) % 0.37/0.89 (define @t1214 () (tptp.setunion @t1)) % 0.37/0.89 (define @t1215 () (or @t1040 (= @t1214 @t1214))) % 0.37/0.89 (define @t1216 () (= @t738 @t1214)) % 0.37/0.89 (define @t1217 () (or @t442 @t442 @t1216)) % 0.37/0.89 (define @t1218 () (or @t442 @t1216)) % 0.37/0.89 (define @t1219 () (forall @t64 @t1218)) % 0.37/0.89 (define @t1220 () (forall @t41 @t1219)) % 0.37/0.89 (define @t1221 () (forall @t1055 @t1218)) % 0.37/0.89 (define @t1222 () (or @t442 @t395)) % 0.37/0.89 (define @t1223 () (=> tptp.setunion__Cong @t1213)) % 0.37/0.89 (define @t1224 () (or @t1040 (= @t593 @t593))) % 0.37/0.89 (define @t1225 () (= @t592 @t593)) % 0.37/0.89 (define @t1226 () (or @t442 @t442 @t1225)) % 0.37/0.89 (define @t1227 () (or @t442 @t1225)) % 0.37/0.89 (define @t1228 () (forall @t64 @t1227)) % 0.37/0.89 (define @t1229 () (forall @t41 @t1228)) % 0.37/0.89 (define @t1230 () (forall @t1055 @t1227)) % 0.37/0.89 (define @t1231 () (or @t442 @t391)) % 0.37/0.89 (define @t1232 () (=> tptp.powerset__Cong @t1223)) % 0.37/0.89 (define @t1233 () (@var "BOUND_VARIABLE_9451" $$unsorted)) % 0.37/0.89 (define @t1234 () (@list @t19 @t1233)) % 0.37/0.89 (define @t1235 () (tptp.setadjoin @t19 @t1233)) % 0.37/0.89 (define @t1236 () (or @t1183 (= @t1235 @t1235))) % 0.37/0.89 (define @t1237 () (= @t1235 (tptp.setadjoin @t4 @t1233))) % 0.37/0.89 (define @t1238 () (or @t282 @t282 @t1237)) % 0.37/0.89 (define @t1239 () (or @t282 @t1237)) % 0.37/0.89 (define @t1240 () (forall @t9 @t1239)) % 0.37/0.89 (define @t1241 () (forall @t1234 @t1240)) % 0.37/0.89 (define @t1242 () (forall (@list @t19 @t1233 @t4) @t1239)) % 0.37/0.89 (define @t1243 () (forall (@list @t4 @t19 @t1233) @t1239)) % 0.37/0.89 (define @t1244 () (@list @t1233)) % 0.37/0.89 (define @t1245 () (forall @t1244 @t1239)) % 0.37/0.89 (define @t1246 () (forall @t1244 @t1237)) % 0.37/0.89 (define @t1247 () (or @t282 @t1246)) % 0.37/0.89 (define @t1248 () (tptp.setadjoin @t4 @t380)) % 0.37/0.89 (define @t1249 () (tptp.setadjoin @t19 @t380)) % 0.37/0.89 (define @t1250 () (= @t1249 @t1248)) % 0.37/0.89 (define @t1251 () (@list @t380)) % 0.37/0.89 (define @t1252 () (forall @t1251 @t1250)) % 0.37/0.89 (define @t1253 () (not (= @t380 @t380))) % 0.37/0.89 (define @t1254 () (or @t1253 (= @t1248 @t1249))) % 0.37/0.89 (define @t1255 () (tptp.setadjoin @t4 @t289)) % 0.37/0.89 (define @t1256 () (= @t1255 @t1249)) % 0.37/0.89 (define @t1257 () (not @t384)) % 0.37/0.89 (define @t1258 () (or @t1257 @t1257 @t1256)) % 0.37/0.89 (define @t1259 () (@list @t289)) % 0.37/0.89 (define @t1260 () (or @t1257 @t1256)) % 0.37/0.89 (define @t1261 () (forall @t1259 @t1260)) % 0.37/0.89 (define @t1262 () (forall @t1251 @t1261)) % 0.37/0.89 (define @t1263 () (forall (@list @t380 @t289) @t1260)) % 0.37/0.89 (define @t1264 () (or @t1257 @t383)) % 0.37/0.89 (define @t1265 () (=> tptp.setadjoin__Cong @t1232)) % 0.37/0.89 (define @t1266 () (=> tptp.emptyset__Cong @t1265)) % 0.37/0.89 (define @t1267 () (= @t1181 @t1166)) % 0.37/0.89 (define @t1268 () (=> @t373 @t1267)) % 0.37/0.89 (define @t1269 () (forall @t375 @t1268)) % 0.37/0.89 (define @t1270 () (=> tptp.exu__Cong @t1266)) % 0.37/0.89 (define @t1271 () (=> tptp.exuE3u @t1270)) % 0.37/0.89 (define @t1272 () (@var "BOUND_VARIABLE_9324" $$unsorted)) % 0.37/0.89 (define @t1273 () (@list @t1 @t1272)) % 0.37/0.89 (define @t1274 () (tptp.in @t1272 @t1)) % 0.37/0.89 (define @t1275 () (or @t1040 (= @t1274 @t1274))) % 0.37/0.89 (define @t1276 () (= (tptp.in @t1272 @t2) @t1274)) % 0.37/0.89 (define @t1277 () (or @t442 @t442 @t1276)) % 0.37/0.89 (define @t1278 () (or @t442 @t1276)) % 0.37/0.89 (define @t1279 () (forall @t64 @t1278)) % 0.37/0.89 (define @t1280 () (forall @t1273 @t1279)) % 0.37/0.89 (define @t1281 () (forall (@list @t1 @t1272 @t2) @t1278)) % 0.37/0.89 (define @t1282 () (forall (@list @t2 @t1 @t1272) @t1278)) % 0.37/0.89 (define @t1283 () (@list @t1272)) % 0.37/0.89 (define @t1284 () (forall @t1283 @t1278)) % 0.37/0.89 (define @t1285 () (forall @t1283 @t1276)) % 0.37/0.89 (define @t1286 () (@list @t19)) % 0.37/0.89 (define @t1287 () (or @t442 @t1285)) % 0.37/0.89 (define @t1288 () (= @t767 @t1118)) % 0.37/0.89 (define @t1289 () (forall @t70 @t1288)) % 0.37/0.89 (define @t1290 () (or @t1183 @t1288)) % 0.37/0.89 (define @t1291 () (= @t615 @t1118)) % 0.37/0.89 (define @t1292 () (or @t282 @t282 @t1291)) % 0.37/0.89 (define @t1293 () (or @t282 @t1291)) % 0.37/0.89 (define @t1294 () (forall @t9 @t1293)) % 0.37/0.89 (define @t1295 () (forall @t70 @t1294)) % 0.37/0.89 (define @t1296 () (forall @t1189 @t1293)) % 0.37/0.89 (define @t1297 () (or @t282 @t357)) % 0.37/0.89 (define @t1298 () (=> tptp.in__Cong @t1271)) % 0.37/0.89 (define @t1299 () (@var "BOUND_VARIABLE_9287" $$unsorted)) % 0.37/0.89 (define @t1300 () (@list @t1 @t1299)) % 0.37/0.89 (define @t1301 () (tptp.in @t1299 @t1)) % 0.37/0.89 (define @t1302 () (not @t1301)) % 0.37/0.89 (define @t1303 () (or @t1302 @t1301)) % 0.37/0.89 (define @t1304 () (or @t1040 @t1302 @t1301)) % 0.37/0.89 (define @t1305 () (not (tptp.in @t1299 @t2))) % 0.37/0.89 (define @t1306 () (or @t442 @t442 @t1305 @t1301)) % 0.37/0.89 (define @t1307 () (or @t442 @t1305 @t1301)) % 0.37/0.89 (define @t1308 () (forall @t64 @t1307)) % 0.37/0.89 (define @t1309 () (forall @t1300 @t1308)) % 0.37/0.89 (define @t1310 () (forall (@list @t1 @t1299 @t2) @t1307)) % 0.37/0.89 (define @t1311 () (@list @t2 @t1 @t1299)) % 0.37/0.89 (define @t1312 () (or @t1305 @t1301)) % 0.37/0.89 (define @t1313 () (or @t442 @t1312)) % 0.37/0.89 (define @t1314 () (forall @t1311 @t1313)) % 0.37/0.89 (define @t1315 () (@list @t1299)) % 0.37/0.89 (define @t1316 () (forall @t1315 @t1313)) % 0.37/0.89 (define @t1317 () (forall @t1315 @t1312)) % 0.37/0.89 (define @t1318 () (or @t442 @t1317)) % 0.37/0.89 (define @t1319 () (or @t772 @t1118)) % 0.37/0.89 (define @t1320 () (forall @t70 @t1319)) % 0.37/0.89 (define @t1321 () (or @t1183 @t772 @t1118)) % 0.37/0.89 (define @t1322 () (or @t282 @t282 @t616 @t1118)) % 0.37/0.89 (define @t1323 () (or @t282 @t616 @t1118)) % 0.37/0.89 (define @t1324 () (forall @t9 @t1323)) % 0.37/0.89 (define @t1325 () (forall @t70 @t1324)) % 0.37/0.89 (define @t1326 () (forall @t1189 @t1323)) % 0.37/0.89 (define @t1327 () (or @t282 @t197 @t351)) % 0.37/0.89 (define @t1328 () (=> tptp.inCongP @t1298)) % 0.37/0.89 (define @t1329 () (= @t673 @t19)) % 0.37/0.89 (define @t1330 () (forall @t70 (= @t1329 @t642))) % 0.37/0.89 (define @t1331 () (not @t1330)) % 0.37/0.89 (define @t1332 () (or @t1331 @t670)) % 0.37/0.89 (define @t1333 () (forall @t674 @t1332)) % 0.37/0.89 (define @t1334 () (@list @t673)) % 0.37/0.89 (define @t1335 () (forall @t1334 @t1332)) % 0.37/0.89 (define @t1336 () (forall @t1334 @t1331)) % 0.37/0.89 (define @t1337 () (or @t1336 @t670)) % 0.37/0.89 (define @t1338 () (= @t153 @t129)) % 0.37/0.89 (define @t1339 () (=> @t265 @t1181)) % 0.37/0.89 (define @t1340 () (forall @t150 @t1339)) % 0.37/0.89 (define @t1341 () (=> tptp.exuI2 @t1328)) % 0.37/0.89 (define @t1342 () (@list @t678)) % 0.37/0.89 (define @t1343 () (forall @t1342 @t680)) % 0.37/0.89 (define @t1344 () (forall @t1342 @t679)) % 0.37/0.89 (define @t1345 () (or @t1344 @t677 @t670)) % 0.37/0.89 (define @t1346 () (or @t801 @t677 @t670)) % 0.37/0.89 (define @t1347 () (=> @t676 @t670)) % 0.37/0.89 (define @t1348 () (=> @t343 @t1181)) % 0.37/0.89 (define @t1349 () (forall @t9 @t315)) % 0.37/0.89 (define @t1350 () (not @t1349)) % 0.37/0.89 (define @t1351 () (=> @t186 @t1348)) % 0.37/0.89 (define @t1352 () (forall @t150 @t1351)) % 0.37/0.89 (define @t1353 () (=> tptp.exuI3 @t1341)) % 0.37/0.89 (define @t1354 () (=> @t169 @t1181)) % 0.37/0.89 (define @t1355 () (forall @t150 @t1354)) % 0.37/0.89 (define @t1356 () (=> tptp.exuI1 @t1353)) % 0.37/0.89 (define @t1357 () (forall @t9 (or @t616 @t667))) % 0.37/0.89 (define @t1358 () (not @t1357)) % 0.37/0.89 (define @t1359 () (or @t197 @t144)) % 0.37/0.89 (define @t1360 () (forall @t9 (not @t316))) % 0.37/0.89 (define @t1361 () (not @t1360)) % 0.37/0.89 (define @t1362 () (=> tptp.notdallE @t1356)) % 0.37/0.89 (define @t1363 () (forall @t9 (or @t616 @t668))) % 0.37/0.89 (define @t1364 () (or @t197 @t315)) % 0.37/0.89 (define @t1365 () (forall @t9 (not @t306))) % 0.37/0.89 (define @t1366 () (not @t1365)) % 0.37/0.89 (define @t1367 () (=> tptp.notdexE @t1362)) % 0.37/0.89 (define @t1368 () (or @t1039 @t684)) % 0.37/0.89 (define @t1369 () (tptp.prop2set @t173)) % 0.37/0.89 (define @t1370 () (tptp.set2prop @t1369)) % 0.37/0.89 (define @t1371 () (not @t173)) % 0.37/0.89 (define @t1372 () (not (= @t173 true))) % 0.37/0.89 (define @t1373 () (or @t1371 @t1371 @t1370)) % 0.37/0.89 (define @t1374 () (or @t1371 @t1370)) % 0.37/0.89 (define @t1375 () (or @t1371 @t337)) % 0.37/0.89 (define @t1376 () (=> tptp.prop2set2propI @t1367)) % 0.37/0.89 (define @t1377 () (or @t1039 @t686)) % 0.37/0.89 (define @t1378 () (tptp.in tptp.emptyset @t1369)) % 0.37/0.89 (define @t1379 () (or @t1371 @t1371 @t1378)) % 0.37/0.89 (define @t1380 () (or @t1371 @t1378)) % 0.37/0.89 (define @t1381 () (or @t1371 @t334)) % 0.37/0.89 (define @t1382 () (=> tptp.prop2setI @t1376)) % 0.37/0.89 (define @t1383 () (=> tptp.quantDeMorgan4 @t1382)) % 0.37/0.89 (define @t1384 () (=> tptp.quantDeMorgan3 @t1383)) % 0.37/0.89 (define @t1385 () (=> tptp.quantDeMorgan2 @t1384)) % 0.37/0.89 (define @t1386 () (=> tptp.quantDeMorgan1 @t1385)) % 0.37/0.89 (define @t1387 () (or @t16 @t144)) % 0.37/0.89 (define @t1388 () (=> tptp.vacuousDall @t1386)) % 0.37/0.89 (define @t1389 () (or @t694 @t693)) % 0.37/0.89 (define @t1390 () (or @t1389 @t695)) % 0.37/0.89 (define @t1391 () (forall @t697 @t1390)) % 0.37/0.89 (define @t1392 () (@list @t692)) % 0.37/0.89 (define @t1393 () (forall @t1392 @t1390)) % 0.37/0.89 (define @t1394 () (forall @t1392 @t1389)) % 0.37/0.89 (define @t1395 () (or @t1394 @t695)) % 0.37/0.89 (define @t1396 () (= tptp.emptyset @t1011)) % 0.37/0.89 (define @t1397 () (not @t1396)) % 0.37/0.89 (define @t1398 () (or @t1363 @t1397)) % 0.37/0.89 (define @t1399 () (= tptp.emptyset @t304)) % 0.37/0.89 (define @t1400 () (not @t1399)) % 0.37/0.89 (define @t1401 () (or @t1363 @t1400)) % 0.37/0.89 (define @t1402 () (not @t1363)) % 0.37/0.89 (define @t1403 () (=> tptp.emptyE1 @t1388)) % 0.37/0.89 (define @t1404 () (=> tptp.upairsetIR @t1403)) % 0.37/0.89 (define @t1405 () (=> tptp.upairsetIL @t1404)) % 0.37/0.89 (define @t1406 () (not @t293)) % 0.37/0.89 (define @t1407 () (or @t1406 @t709 @t708)) % 0.37/0.89 (define @t1408 () (or @t709 @t708)) % 0.37/0.89 (define @t1409 () (=> tptp.upairsetE @t1405)) % 0.37/0.89 (define @t1410 () (not @t276)) % 0.37/0.89 (define @t1411 () (or @t1410 @t280)) % 0.37/0.89 (define @t1412 () (=> tptp.singletonsswitch @t1409)) % 0.37/0.89 (define @t1413 () (or @t1183 @t719)) % 0.37/0.89 (define @t1414 () (or @t282 @t282 @t715)) % 0.37/0.89 (define @t1415 () (or @t282 @t715)) % 0.37/0.89 (define @t1416 () (forall @t9 @t1415)) % 0.37/0.89 (define @t1417 () (forall @t70 @t1416)) % 0.37/0.89 (define @t1418 () (forall @t1189 @t1415)) % 0.37/0.89 (define @t1419 () (or @t282 @t276)) % 0.37/0.89 (define @t1420 () (=> tptp.eqinunit @t1412)) % 0.37/0.89 (define @t1421 () (or @t129 @t281)) % 0.37/0.89 (define @t1422 () (=> tptp.notinsingleton @t1420)) % 0.37/0.89 (define @t1423 () (or @t1410 @t129)) % 0.37/0.89 (define @t1424 () (=> tptp.uniqinunit @t1422)) % 0.37/0.89 (define @t1425 () (not @t196)) % 0.37/0.89 (define @t1426 () (not @t198)) % 0.37/0.89 (define @t1427 () (_ @t589 @t2)) % 0.37/0.89 (define @t1428 () (=> @t1427 @t270)) % 0.37/0.89 (define @t1429 () (forall @t64 @t1428)) % 0.37/0.89 (define @t1430 () (=> tptp.nonemptyImpWitness @t1424)) % 0.37/0.89 (define @t1431 () (or @t643 (= @t730 @t19))) % 0.37/0.89 (define @t1432 () (forall @t70 @t1431)) % 0.37/0.89 (define @t1433 () (not @t1432)) % 0.37/0.89 (define @t1434 () (or @t734 @t731 @t1433)) % 0.37/0.89 (define @t1435 () (or @t731 @t1433)) % 0.37/0.89 (define @t1436 () (or @t1435 @t734)) % 0.37/0.89 (define @t1437 () (forall @t735 @t1436)) % 0.37/0.89 (define @t1438 () (@list @t730)) % 0.37/0.89 (define @t1439 () (forall @t1438 @t1436)) % 0.37/0.89 (define @t1440 () (forall @t1438 @t1435)) % 0.37/0.89 (define @t1441 () (or @t1440 @t734)) % 0.37/0.89 (define @t1442 () (=> @t1181 @t265)) % 0.37/0.89 (define @t1443 () (forall @t150 @t1442)) % 0.37/0.89 (define @t1444 () (=> tptp.exuE2 @t1430)) % 0.37/0.89 (define @t1445 () (or @t197 @t260)) % 0.37/0.89 (define @t1446 () (=> tptp.subPowSU @t1444)) % 0.37/0.89 (define @t1447 () (not @t44)) % 0.37/0.89 (define @t1448 () (or @t1447 @t746)) % 0.37/0.89 (define @t1449 () (not false)) % 0.37/0.89 (define @t1450 () (and @t1449 @t746)) % 0.37/0.89 (define @t1451 () (or @t1450 false)) % 0.37/0.89 (define @t1452 () (and @t1371 @t746)) % 0.37/0.89 (define @t1453 () (not (= @t173 false))) % 0.37/0.89 (define @t1454 () (or @t173 @t1452 @t173)) % 0.37/0.89 (define @t1455 () (or @t1452 @t173)) % 0.37/0.89 (define @t1456 () (or @t173 @t745)) % 0.37/0.89 (define @t1457 () (not @t39)) % 0.37/0.89 (define @t1458 () (or @t434 @t1457)) % 0.37/0.89 (define @t1459 () (forall @t41 @t1458)) % 0.37/0.89 (define @t1460 () (or @t173 @t1459)) % 0.37/0.89 (define @t1461 () (or @t173 @t1458)) % 0.37/0.89 (define @t1462 () (or @t434 @t1457 @t173)) % 0.37/0.89 (define @t1463 () (=> tptp.setunionE @t1446)) % 0.37/0.89 (define @t1464 () (or @t434 @t1457 @t44)) % 0.37/0.89 (define @t1465 () (=> tptp.setunionI @t1463)) % 0.37/0.89 (define @t1466 () (or @t1017 @t434 @t7)) % 0.37/0.89 (define @t1467 () (or @t434 @t7)) % 0.37/0.89 (define @t1468 () (=> tptp.powersetE @t1465)) % 0.37/0.89 (define @t1469 () (=> tptp.emptyInPowerset @t1468)) % 0.37/0.89 (define @t1470 () (=> tptp.emptyinPowerset @t1469)) % 0.37/0.89 (define @t1471 () (or @t759 @t35)) % 0.37/0.89 (define @t1472 () (=> tptp.powersetI @t1470)) % 0.37/0.89 (define @t1473 () (_ @t155 @t763)) % 0.37/0.89 (define @t1474 () (= @t2 @t1473)) % 0.37/0.89 (define @t1475 () (=> tptp.setoftrueEq @t1472)) % 0.37/0.89 (define @t1476 () (not @t26)) % 0.37/0.89 (define @t1477 () (or @t1476 @t129 @t21)) % 0.37/0.89 (define @t1478 () (or @t129 @t21)) % 0.37/0.89 (define @t1479 () (=> tptp.setadjoinOr @t1475)) % 0.37/0.89 (define @t1480 () (or @t1476 @t129 @t767)) % 0.37/0.89 (define @t1481 () (and @t767 @t1449)) % 0.37/0.89 (define @t1482 () (and @t129 @t1449)) % 0.37/0.89 (define @t1483 () (or @t1482 @t1481)) % 0.37/0.89 (define @t1484 () (or @t1482 @t1481 false)) % 0.37/0.89 (define @t1485 () (and @t767 @t1371)) % 0.37/0.89 (define @t1486 () (and @t129 @t1371)) % 0.37/0.89 (define @t1487 () (or @t173 @t1486 @t1485 @t173)) % 0.37/0.89 (define @t1488 () (or @t1486 @t1485 @t173)) % 0.37/0.89 (define @t1489 () (and @t21 @t1371)) % 0.37/0.89 (define @t1490 () (or @t1486 @t1489 @t173)) % 0.37/0.89 (define @t1491 () (=> @t129 @t173)) % 0.37/0.89 (define @t1492 () (=> tptp.setadjoinE @t1479)) % 0.37/0.89 (define @t1493 () (not @t21)) % 0.37/0.89 (define @t1494 () (or @t1493 @t26)) % 0.37/0.89 (define @t1495 () (=> tptp.setadjoinIR @t1492)) % 0.37/0.89 (define @t1496 () (=> tptp.emptyinunitempty @t1495)) % 0.37/0.89 (define @t1497 () (=> tptp.setadjoinIL @t1496)) % 0.37/0.89 (define @t1498 () (not @t378)) % 0.37/0.89 (define @t1499 () (or @t783 @t1498)) % 0.37/0.89 (define @t1500 () (not (tptp.in @t782 @t2))) % 0.37/0.89 (define @t1501 () (or @t1425 @t1500 @t1425)) % 0.37/0.89 (define @t1502 () (or @t1500 @t1425)) % 0.37/0.89 (define @t1503 () (forall @t64 @t1502)) % 0.37/0.89 (define @t1504 () (forall @t784 @t1503)) % 0.37/0.89 (define @t1505 () (forall (@list @t782 @t2) @t1502)) % 0.37/0.89 (define @t1506 () (forall (@list @t2 @t782) @t1502)) % 0.37/0.89 (define @t1507 () (forall @t784 @t1502)) % 0.37/0.89 (define @t1508 () (forall @t784 @t1500)) % 0.37/0.89 (define @t1509 () (or @t1508 @t1425)) % 0.37/0.89 (define @t1510 () (not @t727)) % 0.37/0.89 (define @t1511 () (=> @t89 @t1427)) % 0.37/0.89 (define @t1512 () (forall @t64 @t1511)) % 0.37/0.89 (define @t1513 () (=> tptp.nonemptyI1 @t1497)) % 0.37/0.89 (define @t1514 () (lambda @t70 @t642)) % 0.37/0.89 (define @t1515 () (tptp.dsetconstr @t2 @t1514)) % 0.37/0.89 (define @t1516 () (= tptp.emptyset @t1515)) % 0.37/0.89 (define @t1517 () (not @t1516)) % 0.37/0.89 (define @t1518 () (or @t616 @t668 @t1517)) % 0.37/0.89 (define @t1519 () (= tptp.emptyset @t156)) % 0.37/0.89 (define @t1520 () (not @t1519)) % 0.37/0.89 (define @t1521 () (or @t197 @t315 @t1520)) % 0.37/0.89 (define @t1522 () (=> @t144 @t1520)) % 0.37/0.89 (define @t1523 () (not (= @t156 tptp.emptyset))) % 0.37/0.89 (define @t1524 () (_ @t589 @t156)) % 0.37/0.89 (define @t1525 () (=> @t144 @t1524)) % 0.37/0.89 (define @t1526 () (=> @t7 @t1525)) % 0.37/0.89 (define @t1527 () (forall @t159 @t1526)) % 0.37/0.89 (define @t1528 () (=> tptp.nonemptyI @t1513)) % 0.37/0.89 (define @t1529 () (=> @t1427 @t89)) % 0.37/0.89 (define @t1530 () (forall @t64 @t1529)) % 0.37/0.89 (define @t1531 () (=> tptp.nonemptyE1 @t1528)) % 0.37/0.89 (define @t1532 () (tptp.in @t4 @t1515)) % 0.37/0.89 (define @t1533 () (= @t667 @t1532)) % 0.37/0.89 (define @t1534 () (or @t616 @t1533)) % 0.37/0.89 (define @t1535 () (= @t144 @t157)) % 0.37/0.89 (define @t1536 () (or @t197 @t1535)) % 0.37/0.89 (define @t1537 () (=> tptp.setbeta @t1531)) % 0.37/0.89 (define @t1538 () (=> tptp.noeltsimpempty @t1537)) % 0.37/0.89 (define @t1539 () (=> tptp.emptyI @t1538)) % 0.37/0.89 (define @t1540 () (=> @t758 @t3)) % 0.37/0.89 (define @t1541 () (=> tptp.setext @t1539)) % 0.37/0.89 (define @t1542 () (or @t643 (= @t799 @t19))) % 0.37/0.89 (define @t1543 () (forall @t70 @t1542)) % 0.37/0.89 (define @t1544 () (not @t1543)) % 0.37/0.89 (define @t1545 () (or @t802 @t800 @t1544)) % 0.37/0.89 (define @t1546 () (or @t800 @t1544)) % 0.37/0.89 (define @t1547 () (or @t1546 @t802)) % 0.37/0.89 (define @t1548 () (forall @t803 @t1547)) % 0.37/0.89 (define @t1549 () (@list @t799)) % 0.37/0.89 (define @t1550 () (forall @t1549 @t1547)) % 0.37/0.89 (define @t1551 () (forall @t1549 @t1546)) % 0.37/0.89 (define @t1552 () (or @t1551 @t802)) % 0.37/0.89 (define @t1553 () (=> @t1181 @t186)) % 0.37/0.89 (define @t1554 () (forall @t150 @t1553)) % 0.37/0.89 (define @t1555 () (=> tptp.exuE3e @t1541)) % 0.37/0.89 (define @t1556 () (=> tptp.notinemptyset @t1555)) % 0.37/0.89 (define @t1557 () (=> tptp.emptysetimpfalse @t1556)) % 0.37/0.89 (define @t1558 () (or @t173 @t173)) % 0.37/0.89 (define @t1559 () (=> tptp.emptysetE @t1557)) % 0.37/0.89 (define @t1560 () (or @t810 false)) % 0.37/0.89 (define @t1561 () (tptp.in @t4 @t1369)) % 0.37/0.89 (define @t1562 () (not @t1561)) % 0.37/0.89 (define @t1563 () (or @t173 @t1562 @t173)) % 0.37/0.89 (define @t1564 () (or @t1562 @t173)) % 0.37/0.89 (define @t1565 () (forall @t179 @t1564)) % 0.37/0.89 (define @t1566 () (forall @t9 @t1565)) % 0.37/0.89 (define @t1567 () (forall (@list @t4 @t173) @t1564)) % 0.37/0.89 (define @t1568 () (not @t175)) % 0.37/0.89 (define @t1569 () (or @t1568 @t173)) % 0.37/0.89 (define @t1570 () (=> tptp.prop2setE @t1559)) % 0.37/0.89 (define @t1571 () (=> @t1181 @t169)) % 0.37/0.89 (define @t1572 () (forall @t150 @t1571)) % 0.37/0.89 (define @t1573 () (=> tptp.exuE1 @t1570)) % 0.37/0.89 (define @t1574 () (not @t1532)) % 0.37/0.89 (define @t1575 () (or @t1574 @t667)) % 0.37/0.89 (define @t1576 () (not @t157)) % 0.37/0.89 (define @t1577 () (or @t1576 @t144)) % 0.37/0.89 (define @t1578 () (=> tptp.dsetconstrER @t1573)) % 0.37/0.89 (define @t1579 () (or @t1574 @t615)) % 0.37/0.89 (define @t1580 () (or @t1576 @t7)) % 0.37/0.89 (define @t1581 () (=> tptp.dsetconstrEL @t1578)) % 0.37/0.89 (define @t1582 () (or @t616 @t668 @t1532)) % 0.37/0.89 (define @t1583 () (or @t197 @t315 @t157)) % 0.37/0.89 (define @t1584 () (=> tptp.dsetconstrI @t1581)) % 0.37/0.89 (define @t1585 () (or @t643 (= @t820 @t19))) % 0.37/0.89 (define @t1586 () (forall @t70 @t1585)) % 0.37/0.89 (define @t1587 () (not @t1586)) % 0.37/0.89 (define @t1588 () (or @t822 @t821 @t1587)) % 0.37/0.89 (define @t1589 () (or @t821 @t1587)) % 0.37/0.89 (define @t1590 () (or @t1589 @t822)) % 0.37/0.89 (define @t1591 () (forall @t823 @t1590)) % 0.37/0.89 (define @t1592 () (@list @t820)) % 0.37/0.89 (define @t1593 () (forall @t1592 @t1590)) % 0.37/0.89 (define @t1594 () (forall @t1592 @t1589)) % 0.37/0.89 (define @t1595 () (or @t1594 @t822)) % 0.37/0.89 (define @t1596 () (_ @t143 @t1143)) % 0.37/0.89 (define @t1597 () (or @t669 @t1596)) % 0.37/0.89 (define @t1598 () (or @t669 @t147)) % 0.37/0.89 (define @t1599 () (=> @t1181 @t147)) % 0.37/0.89 (define @t1600 () (forall @t150 @t1599)) % 0.37/0.89 (define @t1601 () (=> tptp.descrp @t1584)) % 0.37/0.89 (define @t1602 () (and @t873 @t866 @t862 @t850)) % 0.37/0.89 (define @t1603 () (forall @t41 (not @t1602))) % 0.37/0.89 (define @t1604 () (not @t1603)) % 0.37/0.89 (define @t1605 () (@list @t845)) % 0.37/0.89 (define @t1606 () (forall @t1605 @t849)) % 0.37/0.89 (define @t1607 () (forall @t1605 @t846)) % 0.37/0.89 (define @t1608 () (or @t848 @t1607 @t844)) % 0.37/0.89 (define @t1609 () (forall @t9 @t841)) % 0.37/0.89 (define @t1610 () (or @t848 @t1609 @t844)) % 0.37/0.89 (define @t1611 () (not @t1609)) % 0.37/0.89 (define @t1612 () (and @t847 @t1611)) % 0.37/0.89 (define @t1613 () (not @t109)) % 0.37/0.89 (define @t1614 () (not @t110)) % 0.37/0.89 (define @t1615 () (or @t1614 @t1613 @t839 @t835)) % 0.37/0.89 (define @t1616 () (and @t110 @t109 @t838 @t834)) % 0.37/0.89 (define @t1617 () (forall @t112 (not @t1616))) % 0.37/0.89 (define @t1618 () (not @t1617)) % 0.37/0.89 (define @t1619 () (or @t828 @t827)) % 0.37/0.89 (define @t1620 () (or @t831 @t1619 @t829)) % 0.37/0.89 (define @t1621 () (forall @t833 @t1620)) % 0.37/0.89 (define @t1622 () (@list @t826)) % 0.37/0.89 (define @t1623 () (forall @t1622 @t1620)) % 0.37/0.89 (define @t1624 () (forall @t1622 @t1619)) % 0.37/0.89 (define @t1625 () (or @t831 @t1624 @t829)) % 0.37/0.89 (define @t1626 () (tptp.in @t19 @t93)) % 0.37/0.89 (define @t1627 () (forall @t70 (or (not @t1626) @t837))) % 0.37/0.89 (define @t1628 () (not @t100)) % 0.37/0.89 (define @t1629 () (or @t1628 @t1627 @t94)) % 0.37/0.89 (define @t1630 () (or @t1627 @t94)) % 0.37/0.89 (define @t1631 () (not @t97)) % 0.37/0.89 (define @t1632 () (or @t1631 @t96)) % 0.37/0.89 (define @t1633 () (not @t105)) % 0.37/0.89 (define @t1634 () (not @t96)) % 0.37/0.89 (define @t1635 () (or @t1634 @t1633)) % 0.37/0.89 (define @t1636 () (forall @t70 (not @t106))) % 0.37/0.89 (define @t1637 () (not @t1636)) % 0.37/0.89 (define @t1638 () (forall @t9 @t1613)) % 0.37/0.89 (define @t1639 () (not @t1638)) % 0.37/0.89 (define @t1640 () (or @t1613 @t7)) % 0.37/0.89 (define @t1641 () (or @t854 @t853)) % 0.37/0.89 (define @t1642 () (or @t857 @t856)) % 0.37/0.89 (define @t1643 () (or @t859 @t843 @t1642 @t1641)) % 0.37/0.89 (define @t1644 () (forall @t861 @t1643)) % 0.37/0.89 (define @t1645 () (forall (@list @t855 @t852) @t1643)) % 0.37/0.89 (define @t1646 () (forall (@list @t852) @t1641)) % 0.37/0.89 (define @t1647 () (forall (@list @t855) @t1642)) % 0.37/0.89 (define @t1648 () (or @t859 @t843 @t1647 @t1646)) % 0.37/0.89 (define @t1649 () (tptp.in @t4 @t95)) % 0.37/0.89 (define @t1650 () (forall @t9 (or (not @t1649) @t840))) % 0.37/0.89 (define @t1651 () (forall @t9 (or @t841 @t1649))) % 0.37/0.89 (define @t1652 () (not @t124)) % 0.37/0.89 (define @t1653 () (or @t1652 @t1614 @t1651 @t1650)) % 0.37/0.89 (define @t1654 () (or @t1651 @t1650)) % 0.37/0.89 (define @t1655 () (not @t120)) % 0.37/0.89 (define @t1656 () (or @t1655 @t109)) % 0.37/0.89 (define @t1657 () (or @t1613 @t120)) % 0.37/0.89 (define @t1658 () (or @t197 @t1493 @t865 @t129)) % 0.37/0.89 (define @t1659 () (=> @t864 @t129)) % 0.37/0.89 (define @t1660 () (or @t1652 @t130)) % 0.37/0.89 (define @t1661 () (or @t870 @t869)) % 0.37/0.89 (define @t1662 () (or @t859 @t1661)) % 0.37/0.89 (define @t1663 () (forall @t872 @t1662)) % 0.37/0.89 (define @t1664 () (@list @t868)) % 0.37/0.89 (define @t1665 () (forall @t1664 @t1662)) % 0.37/0.89 (define @t1666 () (forall @t1664 @t1661)) % 0.37/0.89 (define @t1667 () (or @t859 @t1666)) % 0.37/0.89 (define @t1668 () (or @t1652 @t847)) % 0.37/0.89 (define @t1669 () (=> tptp.wellorderingAx @t1601)) % 0.37/0.89 (define @t1670 () (@list @t881)) % 0.37/0.89 (define @t1671 () (forall @t1670 @t883)) % 0.37/0.89 (define @t1672 () (forall @t1670 @t882)) % 0.37/0.89 (define @t1673 () (or @t1672 @t880)) % 0.37/0.89 (define @t1674 () (or @t1457 @t879)) % 0.37/0.89 (define @t1675 () (and @t39 @t878)) % 0.37/0.89 (define @t1676 () (forall @t41 (not @t1675))) % 0.37/0.89 (define @t1677 () (not @t1676)) % 0.37/0.89 (define @t1678 () (or @t434 @t197)) % 0.37/0.89 (define @t1679 () (forall @t9 (not @t84))) % 0.37/0.89 (define @t1680 () (not @t1679)) % 0.37/0.89 (define @t1681 () (=> tptp.foundationAx @t1669)) % 0.37/0.89 (define @t1682 () (= @t6 @t887)) % 0.37/0.89 (define @t1683 () (not @t68)) % 0.37/0.89 (define @t1684 () (or @t1493 @t1683)) % 0.37/0.89 (define @t1685 () (forall @t70 (not @t69))) % 0.37/0.89 (define @t1686 () (not @t1685)) % 0.37/0.89 (define @t1687 () (or @t197 @t896)) % 0.37/0.89 (define @t1688 () (_ @t75 @t890)) % 0.37/0.89 (define @t1689 () (not @t1688)) % 0.37/0.89 (define @t1690 () (or @t1689 @t893)) % 0.37/0.89 (define @t1691 () (not @t76)) % 0.37/0.89 (define @t1692 () (or @t1691 @t891)) % 0.37/0.89 (define @t1693 () (_ @t77 @t19)) % 0.37/0.89 (define @t1694 () (not @t1693)) % 0.37/0.89 (define @t1695 () (or @t1694 @t891)) % 0.37/0.89 (define @t1696 () (forall @t70 @t1695)) % 0.37/0.89 (define @t1697 () (not @t1696)) % 0.37/0.89 (define @t1698 () (_ @t77 @t890)) % 0.37/0.89 (define @t1699 () (not @t1698)) % 0.37/0.89 (define @t1700 () (or @t1699 @t1697)) % 0.37/0.89 (define @t1701 () (forall @t895 @t1700)) % 0.37/0.89 (define @t1702 () (not @t1701)) % 0.37/0.89 (define @t1703 () (not (_ @t143 @t890))) % 0.37/0.89 (define @t1704 () (or @t643 (= @t890 @t19))) % 0.37/0.89 (define @t1705 () (forall @t70 @t1704)) % 0.37/0.89 (define @t1706 () (not @t1705)) % 0.37/0.89 (define @t1707 () (or @t1703 @t1706)) % 0.37/0.89 (define @t1708 () (forall @t895 @t1707)) % 0.37/0.89 (define @t1709 () (not @t1708)) % 0.37/0.89 (define @t1710 () (=> @t7 (_ @t1165 @t77))) % 0.37/0.89 (define @t1711 () (forall @t9 @t1710)) % 0.37/0.89 (define @t1712 () (=> @t1711 @t74)) % 0.37/0.89 (define @t1713 () (forall @t81 @t1712)) % 0.37/0.89 (define @t1714 () (=> tptp.replAx @t1681)) % 0.37/0.89 (define @t1715 () (or @t902 @t901)) % 0.37/0.89 (define @t1716 () (or @t910 @t908 @t1715)) % 0.37/0.89 (define @t1717 () (forall @t912 @t1716)) % 0.37/0.89 (define @t1718 () (@list @t900)) % 0.37/0.89 (define @t1719 () (forall @t1718 @t1716)) % 0.37/0.89 (define @t1720 () (forall @t1718 @t1715)) % 0.37/0.89 (define @t1721 () (or @t910 @t908 @t1720)) % 0.37/0.89 (define @t1722 () (forall @t9 (or @t906 @t615))) % 0.37/0.89 (define @t1723 () (not @t61)) % 0.37/0.89 (define @t1724 () (or @t1723 @t908 @t1722)) % 0.37/0.89 (define @t1725 () (and @t61 @t907)) % 0.37/0.89 (define @t1726 () (not @t54)) % 0.37/0.89 (define @t1727 () (or @t1726 @t7)) % 0.37/0.89 (define @t1728 () (_ tptp.in @t903)) % 0.37/0.89 (define @t1729 () (or @t1726 @t197 @t58)) % 0.37/0.89 (define @t1730 () (=> tptp.omegaIndAx @t1714)) % 0.37/0.89 (define @t1731 () (or @t1726 @t53)) % 0.37/0.89 (define @t1732 () (=> tptp.omegaSAx @t1730)) % 0.37/0.89 (define @t1733 () (=> tptp.omega0Ax @t1732)) % 0.37/0.89 (define @t1734 () (= @t44 @t746)) % 0.37/0.89 (define @t1735 () (forall @t41 (not @t40))) % 0.37/0.89 (define @t1736 () (not @t1735)) % 0.37/0.89 (define @t1737 () (=> tptp.setunionAx @t1733)) % 0.37/0.89 (define @t1738 () (= @t35 @t758)) % 0.37/0.89 (define @t1739 () (=> tptp.powersetAx @t1737)) % 0.37/0.89 (define @t1740 () (= @t26 @t1478)) % 0.37/0.89 (define @t1741 () (=> tptp.setadjoinAx @t1739)) % 0.37/0.89 (define @t1742 () (=> tptp.emptysetAx @t1741)) % 0.37/0.89 (define @t1743 () (=> tptp.setextAx @t1742)) % 0.37/0.89 (define @t1744 () (tptp.subset @t1011 @t2)) % 0.37/0.89 (define @t1745 () (@quantifiers_skolemize @t591 1)) % 0.37/0.89 (define @t1746 () (@quantifiers_skolemize @t591 0)) % 0.37/0.89 (define @t1747 () (tptp.dsetconstr @t1746 @t1745)) % 0.37/0.89 (define @t1748 () (tptp.subset @t1747 @t1746)) % 0.37/0.89 (define @t1749 () (tptp.in @t1747 (tptp.powerset @t1746))) % 0.37/0.89 (define @t1750 () (not @t1749)) % 0.37/0.89 (define @t1751 () (or @t1750 @t1748)) % 0.37/0.89 (assume @p1 @t14) % 0.37/0.89 (assume @p2 @t18) % 0.37/0.89 (assume @p3 @t30) % 0.37/0.89 (assume @p4 @t38) % 0.37/0.89 (assume @p5 @t48) % 0.37/0.89 (assume @p6 (= tptp.omega0Ax @t50)) % 0.37/0.89 (assume @p7 @t56) % 0.37/0.89 (assume @p8 @t66) % 0.37/0.89 (assume @p9 @t83) % 0.37/0.89 (assume @p10 @t92) % 0.37/0.89 (assume @p11 @t142) % 0.37/0.89 (assume @p12 @t152) % 0.37/0.89 (assume @p13 @t161) % 0.37/0.89 (assume @p14 @t163) % 0.37/0.89 (assume @p15 @t165) % 0.37/0.89 (assume @p16 @t172) % 0.37/0.89 (assume @p17 @t178) % 0.37/0.89 (assume @p18 @t183) % 0.37/0.89 (assume @p19 @t185) % 0.37/0.89 (assume @p20 (= tptp.notinemptyset @t17)) % 0.37/0.89 (assume @p21 @t189) % 0.37/0.89 (assume @p22 @t195) % 0.37/0.89 (assume @p23 @t201) % 0.37/0.89 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.37/0.89 (assume @p25 @t204) % 0.37/0.89 (assume @p26 @t208) % 0.37/0.89 (assume @p27 @t212) % 0.37/0.89 (assume @p28 @t215) % 0.37/0.89 (assume @p29 @t219) % 0.37/0.89 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.37/0.89 (assume @p31 @t223) % 0.37/0.89 (assume @p32 @t231) % 0.37/0.89 (assume @p33 @t234) % 0.37/0.89 (assume @p34 @t238) % 0.37/0.89 (assume @p35 @t241) % 0.37/0.89 (assume @p36 @t244) % 0.37/0.89 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.37/0.89 (assume @p38 @t247) % 0.37/0.89 (assume @p39 @t251) % 0.37/0.89 (assume @p40 @t258) % 0.37/0.89 (assume @p41 @t262) % 0.37/0.89 (assume @p42 @t268) % 0.37/0.89 (assume @p43 @t273) % 0.37/0.89 (assume @p44 @t278) % 0.37/0.89 (assume @p45 @t284) % 0.37/0.89 (assume @p46 @t286) % 0.37/0.89 (assume @p47 @t288) % 0.37/0.89 (assume @p48 @t297) % 0.37/0.89 (assume @p49 @t300) % 0.37/0.89 (assume @p50 @t303) % 0.37/0.89 (assume @p51 @t311) % 0.37/0.89 (assume @p52 @t314) % 0.37/0.89 (assume @p53 @t322) % 0.37/0.89 (assume @p54 @t327) % 0.37/0.89 (assume @p55 @t330) % 0.37/0.89 (assume @p56 @t333) % 0.37/0.89 (assume @p57 @t336) % 0.37/0.89 (assume @p58 @t339) % 0.37/0.89 (assume @p59 (= tptp.notdexE @t329)) % 0.37/0.89 (assume @p60 (= tptp.notdallE @t321)) % 0.37/0.89 (assume @p61 @t342) % 0.37/0.89 (assume @p62 @t347) % 0.37/0.89 (assume @p63 @t350) % 0.37/0.89 (assume @p64 @t356) % 0.37/0.89 (assume @p65 @t361) % 0.37/0.89 (assume @p66 @t364) % 0.37/0.89 (assume @p67 @t377) % 0.37/0.89 (assume @p68 @t379) % 0.37/0.89 (assume @p69 @t389) % 0.37/0.89 (assume @p70 @t393) % 0.37/0.89 (assume @p71 @t397) % 0.37/0.89 (assume @p72 @t398) % 0.37/0.89 (assume @p73 @t399) % 0.37/0.89 (assume @p74 @t406) % 0.37/0.89 (assume @p75 @t417) % 0.37/0.89 (assume @p76 @t422) % 0.37/0.89 (assume @p77 @t426) % 0.37/0.89 (assume @p78 @t428) % 0.37/0.89 (assume @p79 (= tptp.subsetI2 @t421)) % 0.37/0.89 (assume @p80 @t431) % 0.37/0.89 (assume @p81 @t433) % 0.37/0.89 (assume @p82 @t437) % 0.37/0.89 (assume @p83 @t441) % 0.37/0.89 (assume @p84 @t444) % 0.37/0.89 (assume @p85 @t447) % 0.37/0.89 (assume @p86 @t450) % 0.37/0.89 (assume @p87 @t456) % 0.37/0.89 (assume @p88 @t460) % 0.37/0.89 (assume @p89 @t464) % 0.37/0.89 (assume @p90 @t468) % 0.37/0.89 (assume @p91 @t471) % 0.37/0.89 (assume @p92 @t474) % 0.37/0.89 (assume @p93 @t476) % 0.37/0.89 (assume @p94 @t478) % 0.37/0.89 (assume @p95 @t481) % 0.37/0.89 (assume @p96 @t484) % 0.37/0.89 (assume @p97 @t487) % 0.37/0.89 (assume @p98 @t587) % 0.37/0.89 (assume @p99 true) % 0.37/0.89 (step @p100 (= tptp.exu @t588) :rule refl :args (@t588)) % 0.37/0.89 (step @p101 (= tptp.nonempty @t589) :rule refl :args (@t589)) % 0.37/0.89 (step @p102 :rule refl :args (@t682)) % 0.37/0.89 (step @p103 :rule skolem_intro :args ((@purify true))) % 0.37/0.89 (step @p104 :rule symm :premises (@p103)) % 0.37/0.89 (step @p105 :rule cong :premises (@p104) :args (@t683)) % 0.37/0.89 (step @p106 :rule cong :premises (@p105) :args (@t684)) % 0.37/0.89 (step @p107 :rule cong :premises (@p106 @p102) :args (@t685)) % 0.37/0.89 (step @p108 :rule refl :args (tptp.emptyset)) % 0.37/0.89 (step @p109 :rule cong :premises (@p108 @p105) :args (@t686)) % 0.37/0.89 (step @p110 :rule cong :premises (@p109 @p107) :args (@t687)) % 0.37/0.89 (step @p111 :rule refl :args (@t690)) % 0.37/0.89 (step @p112 :rule cong :premises (@p111 @p110) :args (@t691)) % 0.37/0.89 (step @p113 :rule refl :args (@t698)) % 0.37/0.89 (step @p114 :rule cong :premises (@p113 @p112) :args (@t699)) % 0.37/0.89 (step @p115 :rule refl :args (@t703)) % 0.37/0.89 (step @p116 :rule cong :premises (@p115 @p114) :args (@t704)) % 0.37/0.89 (step @p117 :rule refl :args (@t706)) % 0.37/0.89 (step @p118 :rule cong :premises (@p117 @p116) :args (@t707)) % 0.37/0.89 (step @p119 :rule refl :args (@t711)) % 0.37/0.89 (step @p120 :rule cong :premises (@p119 @p118) :args (@t712)) % 0.37/0.89 (step @p121 :rule refl :args (@t717)) % 0.37/0.89 (step @p122 :rule cong :premises (@p121 @p120) :args (@t718)) % 0.37/0.89 (step @p123 :rule refl :args (@t720)) % 0.37/0.89 (step @p124 :rule cong :premises (@p123 @p122) :args (@t721)) % 0.37/0.89 (step @p125 :rule refl :args (@t722)) % 0.37/0.89 (step @p126 :rule cong :premises (@p125 @p124) :args (@t723)) % 0.37/0.89 (step @p127 :rule refl :args (@t724)) % 0.37/0.89 (step @p128 :rule cong :premises (@p127 @p126) :args (@t725)) % 0.37/0.89 (step @p129 :rule refl :args (@t728)) % 0.37/0.89 (step @p130 :rule cong :premises (@p129 @p128) :args (@t729)) % 0.37/0.89 (step @p131 :rule refl :args (@t736)) % 0.37/0.89 (step @p132 :rule cong :premises (@p131 @p130) :args (@t737)) % 0.37/0.89 (step @p133 :rule refl :args (@t741)) % 0.37/0.89 (step @p134 :rule cong :premises (@p133 @p132) :args (@t742)) % 0.37/0.89 (step @p135 :rule refl :args (@t748)) % 0.37/0.89 (step @p136 :rule cong :premises (@p135 @p134) :args (@t749)) % 0.37/0.89 (step @p137 :rule refl :args (@t750)) % 0.37/0.89 (step @p138 :rule cong :premises (@p137 @p136) :args (@t751)) % 0.37/0.89 (step @p139 :rule refl :args (@t752)) % 0.37/0.89 (step @p140 :rule cong :premises (@p139 @p138) :args (@t753)) % 0.37/0.89 (step @p141 :rule refl :args (@t755)) % 0.37/0.89 (step @p142 :rule cong :premises (@p141 @p140) :args (@t756)) % 0.37/0.89 (step @p143 :rule cong :premises (@p141 @p142) :args (@t757)) % 0.37/0.89 (step @p144 :rule refl :args (@t760)) % 0.37/0.89 (step @p145 :rule cong :premises (@p144 @p143) :args (@t761)) % 0.37/0.89 (step @p146 :rule refl :args (@t765)) % 0.37/0.89 (step @p147 :rule cong :premises (@p146 @p145) :args (@t766)) % 0.37/0.89 (step @p148 :rule refl :args (@t769)) % 0.37/0.89 (step @p149 :rule cong :premises (@p148 @p147) :args (@t770)) % 0.37/0.89 (step @p150 :rule cong :premises (@p148 @p149) :args (@t771)) % 0.37/0.89 (step @p151 :rule refl :args (@t773)) % 0.37/0.89 (step @p152 :rule cong :premises (@p151 @p150) :args (@t774)) % 0.37/0.89 (step @p153 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 0.37/0.89 (step @p154 :rule refl :args (@t775)) % 0.37/0.89 (step @p155 :rule refl :args (tptp.emptyset)) % 0.37/0.89 (step @p156 :rule cong :premises (@p155 @p154) :args (@t776)) % 0.37/0.89 (step @p157 :rule trans :premises (@p156 @p153)) % 0.37/0.89 (step @p158 :rule refl :args (@t49)) % 0.37/0.89 (step @p159 :rule ho_cong :premises (@p158 @p154)) % 0.37/0.89 (step @p160 :rule cong :premises (@p159 @p157) :args ((= (_ @t49 @t775) @t776))) % 0.37/0.89 (step @p161 :rule symm :premises (@p160)) % 0.37/0.89 (step @p162 :rule refl :args (@t221)) % 0.37/0.89 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 0.37/0.89 (step @p164 :rule refl :args (@t220)) % 0.37/0.89 (step @p165 :rule cong :premises (@p164 @p154) :args ((= @t220 @t775))) % 0.37/0.89 (step @p166 :rule symm :premises (@p165)) % 0.37/0.89 (step @p167 :rule eq_resolve :premises (@p164 @p166)) % 0.37/0.89 (step @p168 :rule refl :args (@t49)) % 0.37/0.89 (step @p169 :rule ho_cong :premises (@p168 @p167)) % 0.37/0.89 (step @p170 :rule trans :premises (@p169 @p163)) % 0.37/0.89 (step @p171 :rule cong :premises (@p170 @p152) :args (@t777)) % 0.37/0.89 (step @p172 :rule refl :args (@t780)) % 0.37/0.89 (step @p173 :rule cong :premises (@p172 @p171) :args (@t781)) % 0.37/0.89 (step @p174 :rule refl :args (@t785)) % 0.37/0.89 (step @p175 :rule cong :premises (@p174 @p173) :args (@t786)) % 0.37/0.89 (step @p176 :rule refl :args (@t787)) % 0.37/0.89 (step @p177 :rule cong :premises (@p176 @p175) :args (@t788)) % 0.37/0.89 (step @p178 :rule cong :premises (@p129 @p177) :args (@t789)) % 0.37/0.89 (step @p179 :rule refl :args (@t791)) % 0.37/0.89 (step @p180 :rule cong :premises (@p179 @p178) :args (@t792)) % 0.37/0.89 (step @p181 :rule refl :args (@t793)) % 0.37/0.89 (step @p182 :rule cong :premises (@p181 @p180) :args (@t794)) % 0.37/0.89 (step @p183 :rule cong :premises (@p181 @p182) :args (@t795)) % 0.37/0.89 (step @p184 :rule refl :args (@t797)) % 0.37/0.89 (step @p185 :rule cong :premises (@p184 @p183) :args (@t798)) % 0.37/0.89 (step @p186 :rule refl :args (@t804)) % 0.37/0.89 (step @p187 :rule cong :premises (@p186 @p185) :args (@t805)) % 0.37/0.89 (step @p188 :rule refl :args (@t806)) % 0.37/0.89 (step @p189 :rule cong :premises (@p188 @p187) :args (@t807)) % 0.37/0.89 (step @p190 :rule cong :premises (@p188 @p189) :args (@t808)) % 0.37/0.89 (step @p191 :rule cong :premises (@p188 @p190) :args (@t809)) % 0.37/0.89 (step @p192 :rule refl :args (@t811)) % 0.37/0.89 (step @p193 :rule cong :premises (@p192 @p191) :args (@t812)) % 0.37/0.89 (step @p194 :rule refl :args (@t814)) % 0.37/0.89 (step @p195 :rule cong :premises (@p194 @p193) :args (@t815)) % 0.37/0.89 (step @p196 :rule refl :args (@t816)) % 0.37/0.89 (step @p197 :rule cong :premises (@p196 @p195) :args (@t817)) % 0.37/0.89 (step @p198 :rule refl :args (@t818)) % 0.37/0.89 (step @p199 :rule cong :premises (@p198 @p197) :args (@t819)) % 0.37/0.89 (step @p200 :rule refl :args (@t824)) % 0.37/0.89 (step @p201 :rule cong :premises (@p200 @p199) :args (@t825)) % 0.37/0.89 (step @p202 :rule refl :args (@t876)) % 0.37/0.89 (step @p203 :rule cong :premises (@p202 @p201) :args (@t877)) % 0.37/0.89 (step @p204 :rule refl :args (@t884)) % 0.37/0.89 (step @p205 :rule cong :premises (@p204 @p203) :args (@t885)) % 0.37/0.89 (step @p206 :rule refl :args (@t898)) % 0.37/0.89 (step @p207 :rule cong :premises (@p206 @p205) :args (@t899)) % 0.37/0.89 (step @p208 :rule refl :args (@t913)) % 0.37/0.89 (step @p209 :rule cong :premises (@p208 @p207) :args (@t914)) % 0.37/0.89 (step @p210 :rule refl :args (@t916)) % 0.37/0.89 (step @p211 :rule cong :premises (@p210 @p209) :args (@t917)) % 0.37/0.89 (step @p212 :rule refl :args (@t918)) % 0.37/0.89 (step @p213 :rule refl :args (@t50)) % 0.37/0.89 (step @p214 :rule cong :premises (@p213 @p212) :args ((= @t50 @t918))) % 0.37/0.89 (step @p215 :rule symm :premises (@p214)) % 0.37/0.89 (step @p216 :rule eq_resolve :premises (@p213 @p215)) % 0.37/0.89 (step @p217 :rule cong :premises (@p216 @p211) :args (@t919)) % 0.37/0.89 (step @p218 :rule refl :args (@t920)) % 0.37/0.89 (step @p219 :rule cong :premises (@p218 @p217) :args (@t921)) % 0.37/0.89 (step @p220 :rule refl :args (@t922)) % 0.37/0.89 (step @p221 :rule cong :premises (@p220 @p219) :args (@t923)) % 0.37/0.89 (step @p222 :rule refl :args (@t925)) % 0.37/0.89 (step @p223 :rule cong :premises (@p222 @p221) :args (@t926)) % 0.37/0.89 (step @p224 :rule cong :premises (@p188 @p223) :args (@t927)) % 0.37/0.89 (step @p225 :rule refl :args (@t929)) % 0.37/0.89 (step @p226 :rule cong :premises (@p225 @p224) :args (@t930)) % 0.37/0.89 (step @p227 :rule cong :premises (@p226) :args ((not @t930))) % 0.37/0.89 (step @p228 :rule bool-impl-true2 :args (@t611)) % 0.37/0.89 (step @p229 :rule refl :args (@t613)) % 0.37/0.89 (step @p230 :rule cong :premises (@p229 @p228) :args (@t931)) % 0.37/0.89 (step @p231 :rule refl :args (@t617)) % 0.37/0.89 (step @p232 :rule cong :premises (@p231 @p230) :args (@t932)) % 0.37/0.89 (step @p233 :rule refl :args (@t618)) % 0.37/0.89 (step @p234 :rule cong :premises (@p233 @p232) :args (@t933)) % 0.37/0.89 (step @p235 :rule refl :args (@t619)) % 0.37/0.89 (step @p236 :rule cong :premises (@p235 @p234) :args (@t934)) % 0.37/0.89 (step @p237 :rule refl :args (@t621)) % 0.37/0.89 (step @p238 :rule cong :premises (@p237 @p236) :args (@t935)) % 0.37/0.89 (step @p239 :rule refl :args (@t624)) % 0.37/0.89 (step @p240 :rule cong :premises (@p239 @p238) :args (@t936)) % 0.37/0.89 (step @p241 :rule cong :premises (@p229 @p240) :args (@t937)) % 0.37/0.89 (step @p242 :rule cong :premises (@p229 @p241) :args (@t938)) % 0.37/0.89 (step @p243 :rule cong :premises (@p239 @p242) :args (@t939)) % 0.37/0.89 (step @p244 :rule refl :args (@t636)) % 0.37/0.89 (step @p245 :rule cong :premises (@p244 @p243) :args (@t940)) % 0.37/0.89 (step @p246 :rule refl :args (@t651)) % 0.37/0.89 (step @p247 :rule cong :premises (@p246 @p245) :args (@t941)) % 0.37/0.89 (step @p248 :rule refl :args (@t660)) % 0.37/0.89 (step @p249 :rule cong :premises (@p248 @p247) :args (@t942)) % 0.37/0.89 (step @p250 :rule bool-impl-true2 :args (@t942)) % 0.37/0.89 (step @p251 :rule trans :premises (@p250 @p249)) % 0.37/0.89 (step @p252 :rule bool-impl-true2 :args (@t942)) % 0.37/0.89 (step @p253 :rule refl :args (true)) % 0.37/0.89 (step @p254 :rule cong :premises (@p253 @p252) :args (@t943)) % 0.37/0.89 (step @p255 :rule trans :premises (@p254 @p251)) % 0.37/0.89 (step @p256 :rule cong :premises (@p253 @p252) :args (@t943)) % 0.37/0.89 (step @p257 :rule cong :premises (@p253 @p256) :args (@t944)) % 0.37/0.89 (step @p258 :rule trans :premises (@p257 @p255)) % 0.37/0.89 (step @p259 :rule cong :premises (@p253 @p256) :args (@t944)) % 0.37/0.89 (step @p260 :rule cong :premises (@p253 @p259) :args (@t945)) % 0.37/0.89 (step @p261 :rule trans :premises (@p260 @p258)) % 0.37/0.89 (step @p262 :rule cong :premises (@p253 @p259) :args (@t945)) % 0.37/0.89 (step @p263 :rule cong :premises (@p253 @p262) :args (@t946)) % 0.37/0.89 (step @p264 :rule trans :premises (@p263 @p261)) % 0.37/0.89 (step @p265 :rule refl :args (@t672)) % 0.37/0.89 (step @p266 :rule cong :premises (@p265 @p264) :args (@t947)) % 0.37/0.89 (step @p267 :rule cong :premises (@p248 @p266) :args (@t948)) % 0.37/0.89 (step @p268 :rule bool-impl-true2 :args (@t948)) % 0.37/0.89 (step @p269 :rule trans :premises (@p268 @p267)) % 0.37/0.89 (step @p270 :rule bool-impl-true2 :args (@t948)) % 0.37/0.89 (step @p271 :rule cong :premises (@p253 @p270) :args (@t949)) % 0.37/0.89 (step @p272 :rule trans :premises (@p271 @p269)) % 0.37/0.89 (step @p273 :rule refl :args (@t675)) % 0.37/0.89 (step @p274 :rule cong :premises (@p273 @p272) :args (@t950)) % 0.37/0.89 (step @p275 :rule refl :args (@t681)) % 0.37/0.89 (step @p276 :rule cong :premises (@p275 @p274) :args (@t951)) % 0.37/0.89 (step @p277 :rule bool-impl-true2 :args (@t951)) % 0.37/0.89 (step @p278 :rule trans :premises (@p277 @p276)) % 0.37/0.89 (step @p279 :rule bool-impl-true2 :args (@t951)) % 0.37/0.89 (step @p280 :rule cong :premises (@p253 @p279) :args (@t952)) % 0.37/0.89 (step @p281 :rule trans :premises (@p280 @p278)) % 0.37/0.89 (step @p282 :rule cong :premises (@p253 @p279) :args (@t952)) % 0.37/0.89 (step @p283 :rule cong :premises (@p253 @p282) :args (@t953)) % 0.37/0.89 (step @p284 :rule trans :premises (@p283 @p281)) % 0.37/0.89 (step @p285 :rule refl :args (@t684)) % 0.37/0.89 (step @p286 :rule cong :premises (@p285 @p284) :args (@t954)) % 0.37/0.89 (step @p287 :rule refl :args (@t686)) % 0.37/0.89 (step @p288 :rule cong :premises (@p287 @p286) :args (@t955)) % 0.37/0.89 (step @p289 :rule bool-impl-true2 :args (@t955)) % 0.37/0.89 (step @p290 :rule trans :premises (@p289 @p288)) % 0.37/0.89 (step @p291 :rule bool-impl-true2 :args (@t955)) % 0.37/0.89 (step @p292 :rule cong :premises (@p253 @p291) :args (@t956)) % 0.37/0.89 (step @p293 :rule trans :premises (@p292 @p290)) % 0.37/0.89 (step @p294 :rule cong :premises (@p253 @p291) :args (@t956)) % 0.37/0.89 (step @p295 :rule cong :premises (@p253 @p294) :args (@t957)) % 0.37/0.89 (step @p296 :rule trans :premises (@p295 @p293)) % 0.37/0.89 (step @p297 :rule cong :premises (@p253 @p294) :args (@t957)) % 0.37/0.89 (step @p298 :rule cong :premises (@p253 @p297) :args (@t958)) % 0.37/0.89 (step @p299 :rule trans :premises (@p298 @p296)) % 0.37/0.89 (step @p300 :rule cong :premises (@p111 @p299) :args (@t959)) % 0.37/0.89 (step @p301 :rule cong :premises (@p113 @p300) :args (@t960)) % 0.37/0.89 (step @p302 :rule cong :premises (@p115 @p301) :args (@t961)) % 0.37/0.89 (step @p303 :rule cong :premises (@p117 @p302) :args (@t962)) % 0.37/0.89 (step @p304 :rule cong :premises (@p119 @p303) :args (@t963)) % 0.37/0.89 (step @p305 :rule cong :premises (@p121 @p304) :args (@t964)) % 0.37/0.89 (step @p306 :rule cong :premises (@p123 @p305) :args (@t965)) % 0.37/0.89 (step @p307 :rule cong :premises (@p125 @p306) :args (@t966)) % 0.37/0.89 (step @p308 :rule cong :premises (@p127 @p307) :args (@t967)) % 0.37/0.89 (step @p309 :rule cong :premises (@p129 @p308) :args (@t968)) % 0.37/0.89 (step @p310 :rule cong :premises (@p131 @p309) :args (@t969)) % 0.37/0.89 (step @p311 :rule cong :premises (@p133 @p310) :args (@t970)) % 0.37/0.89 (step @p312 :rule cong :premises (@p135 @p311) :args (@t971)) % 0.37/0.89 (step @p313 :rule cong :premises (@p137 @p312) :args (@t972)) % 0.37/0.89 (step @p314 :rule cong :premises (@p139 @p313) :args (@t973)) % 0.37/0.89 (step @p315 :rule cong :premises (@p141 @p314) :args (@t974)) % 0.37/0.89 (step @p316 :rule cong :premises (@p141 @p315) :args (@t975)) % 0.37/0.89 (step @p317 :rule cong :premises (@p144 @p316) :args (@t976)) % 0.37/0.89 (step @p318 :rule cong :premises (@p146 @p317) :args (@t977)) % 0.37/0.89 (step @p319 :rule cong :premises (@p148 @p318) :args (@t978)) % 0.37/0.89 (step @p320 :rule cong :premises (@p148 @p319) :args (@t979)) % 0.37/0.89 (step @p321 :rule cong :premises (@p151 @p320) :args (@t980)) % 0.37/0.89 (step @p322 :rule refl :args (@t221)) % 0.37/0.89 (step @p323 :rule cong :premises (@p322 @p321) :args (@t981)) % 0.37/0.89 (step @p324 :rule cong :premises (@p172 @p323) :args (@t982)) % 0.37/0.89 (step @p325 :rule cong :premises (@p174 @p324) :args (@t983)) % 0.37/0.89 (step @p326 :rule cong :premises (@p176 @p325) :args (@t984)) % 0.37/0.89 (step @p327 :rule cong :premises (@p129 @p326) :args (@t985)) % 0.37/0.89 (step @p328 :rule cong :premises (@p179 @p327) :args (@t986)) % 0.37/0.89 (step @p329 :rule cong :premises (@p181 @p328) :args (@t987)) % 0.37/0.89 (step @p330 :rule cong :premises (@p181 @p329) :args (@t988)) % 0.37/0.89 (step @p331 :rule cong :premises (@p184 @p330) :args (@t989)) % 0.37/0.89 (step @p332 :rule cong :premises (@p186 @p331) :args (@t990)) % 0.37/0.89 (step @p333 :rule cong :premises (@p188 @p332) :args (@t991)) % 0.37/0.89 (step @p334 :rule cong :premises (@p188 @p333) :args (@t992)) % 0.37/0.89 (step @p335 :rule cong :premises (@p188 @p334) :args (@t993)) % 0.37/0.89 (step @p336 :rule cong :premises (@p192 @p335) :args (@t994)) % 0.37/0.89 (step @p337 :rule bool-impl-true2 :args (@t994)) % 0.37/0.89 (step @p338 :rule trans :premises (@p337 @p336)) % 0.37/0.89 (step @p339 :rule cong :premises (@p194 @p338) :args (@t995)) % 0.37/0.89 (step @p340 :rule cong :premises (@p196 @p339) :args (@t996)) % 0.37/0.89 (step @p341 :rule cong :premises (@p198 @p340) :args (@t997)) % 0.37/0.89 (step @p342 :rule cong :premises (@p200 @p341) :args (@t998)) % 0.37/0.89 (step @p343 :rule cong :premises (@p202 @p342) :args (@t999)) % 0.37/0.89 (step @p344 :rule cong :premises (@p204 @p343) :args (@t1000)) % 0.37/0.89 (step @p345 :rule cong :premises (@p206 @p344) :args (@t1001)) % 0.37/0.89 (step @p346 :rule cong :premises (@p208 @p345) :args (@t1002)) % 0.37/0.89 (step @p347 :rule cong :premises (@p210 @p346) :args (@t1003)) % 0.37/0.89 (step @p348 :rule refl :args (@t50)) % 0.37/0.89 (step @p349 :rule cong :premises (@p348 @p347) :args (@t1004)) % 0.37/0.89 (step @p350 :rule cong :premises (@p218 @p349) :args (@t1005)) % 0.37/0.89 (step @p351 :rule cong :premises (@p220 @p350) :args (@t1006)) % 0.37/0.89 (step @p352 :rule cong :premises (@p222 @p351) :args (@t1007)) % 0.37/0.89 (step @p353 :rule cong :premises (@p188 @p352) :args (@t1008)) % 0.37/0.89 (step @p354 :rule cong :premises (@p225 @p353) :args (@t1009)) % 0.37/0.89 (step @p355 :rule cong :premises (@p354) :args ((not @t1009))) % 0.37/0.89 (step @p356 :rule refl :args (@t591)) % 0.37/0.89 (step @p357 :rule refl :args (@t592)) % 0.37/0.89 (step @p358 :rule lambda-elim :args ((= @t1010 @t143))) % 0.37/0.89 (step @p359 :rule refl :args (@t2)) % 0.37/0.89 (step @p360 :rule cong :premises (@p359 @p358) :args (@t1011)) % 0.37/0.89 (step @p361 :rule cong :premises (@p360 @p357) :args (@t1012)) % 0.37/0.89 (step @p362 :rule cong :premises (@p361) :args ((forall @t309 @t1012))) % 0.37/0.89 (step @p363 :rule refl :args ((tptp.in @t304 @t33))) % 0.37/0.89 (step @p364 :rule refl :args (@t592)) % 0.37/0.89 (step @p365 :rule refl :args ((tptp.dsetconstr @t2 @t145))) % 0.37/0.89 (step @p366 :rule refl :args (@t667)) % 0.37/0.89 (step @p367 :rule cong :premises (@p366) :args (@t1010)) % 0.37/0.89 (step @p368 :rule refl :args (@t2)) % 0.37/0.89 (step @p369 :rule cong :premises (@p368 @p367) :args (@t1011)) % 0.37/0.89 (step @p370 :rule trans :premises (@p369 @p365)) % 0.37/0.89 (step @p371 :rule cong :premises (@p370 @p364) :args (@t1012)) % 0.37/0.89 (step @p372 :rule trans :premises (@p371 @p363)) % 0.37/0.89 (step @p373 :rule refl :args (tptp.in)) % 0.37/0.89 (step @p374 :rule ho_cong :premises (@p373 @p370)) % 0.37/0.89 (step @p375 :rule ho_cong :premises (@p374 @p364)) % 0.37/0.89 (step @p376 :rule cong :premises (@p375 @p372) :args ((= (_ (_ tptp.in @t1011) @t592) @t1012))) % 0.37/0.89 (step @p377 :rule symm :premises (@p376)) % 0.37/0.89 (step @p378 :rule refl :args (@t485)) % 0.37/0.89 (step @p379 :rule eq_resolve :premises (@p378 @p377)) % 0.37/0.89 (step @p380 :rule refl :args (@t33)) % 0.37/0.89 (step @p381 :rule cong :premises (@p380 @p364) :args ((= @t33 @t592))) % 0.37/0.89 (step @p382 :rule symm :premises (@p381)) % 0.37/0.89 (step @p383 :rule eq_resolve :premises (@p380 @p382)) % 0.37/0.89 (step @p384 :rule refl :args (@t155)) % 0.37/0.89 (step @p385 :rule ho_cong :premises (@p384 @p367)) % 0.37/0.89 (step @p386 :rule cong :premises (@p385 @p370) :args ((= (_ @t155 @t1010) @t1011))) % 0.37/0.89 (step @p387 :rule symm :premises (@p386)) % 0.37/0.89 (step @p388 :rule refl :args (@t304)) % 0.37/0.89 (step @p389 :rule eq_resolve :premises (@p388 @p387)) % 0.37/0.89 (step @p390 :rule refl :args (@t144)) % 0.37/0.89 (step @p391 :rule cong :premises (@p390 @p366) :args ((= @t144 @t667))) % 0.37/0.89 (step @p392 :rule symm :premises (@p391)) % 0.37/0.89 (step @p393 :rule eq_resolve :premises (@p390 @p392)) % 0.37/0.89 (step @p394 :rule cong :premises (@p393) :args (@t145)) % 0.37/0.89 (step @p395 :rule ho_cong :premises (@p384 @p394)) % 0.37/0.89 (step @p396 :rule trans :premises (@p395 @p389)) % 0.37/0.89 (step @p397 :rule ho_cong :premises (@p373 @p396)) % 0.37/0.89 (step @p398 :rule ho_cong :premises (@p397 @p383)) % 0.37/0.89 (step @p399 :rule trans :premises (@p398 @p379)) % 0.37/0.89 (step @p400 :rule cong :premises (@p399) :args (@t486)) % 0.37/0.89 (step @p401 :rule trans :premises (@p400 @p362)) % 0.37/0.89 (step @p402 :rule refl :args (tptp.sepInPowerset)) % 0.37/0.89 (step @p403 :rule cong :premises (@p402 @p401) :args (@t487)) % 0.37/0.89 (step @p404 :rule eq_resolve :premises (@p97 @p403)) % 0.37/0.89 (step @p405 :rule cong :premises (@p404 @p356) :args (@t1013)) % 0.37/0.89 (step @p406 :rule refl :args ((tptp.subset @t33 @t390))) % 0.37/0.89 (step @p407 :rule refl :args (@t593)) % 0.37/0.89 (step @p408 :rule cong :premises (@p364 @p407) :args (@t594)) % 0.37/0.89 (step @p409 :rule trans :premises (@p408 @p406)) % 0.37/0.89 (step @p410 :rule refl :args (tptp.subset)) % 0.37/0.89 (step @p411 :rule ho_cong :premises (@p410 @p364)) % 0.37/0.89 (step @p412 :rule ho_cong :premises (@p411 @p407)) % 0.37/0.89 (step @p413 :rule cong :premises (@p412 @p409) :args ((= (_ (_ tptp.subset @t592) @t593) @t594))) % 0.37/0.89 (step @p414 :rule symm :premises (@p413)) % 0.37/0.89 (step @p415 :rule refl :args (@t482)) % 0.37/0.89 (step @p416 :rule eq_resolve :premises (@p415 @p414)) % 0.37/0.89 (step @p417 :rule refl :args (@t390)) % 0.37/0.89 (step @p418 :rule cong :premises (@p417 @p407) :args ((= @t390 @t593))) % 0.37/0.89 (step @p419 :rule symm :premises (@p418)) % 0.37/0.89 (step @p420 :rule eq_resolve :premises (@p417 @p419)) % 0.37/0.89 (step @p421 :rule ho_cong :premises (@p410 @p383)) % 0.37/0.89 (step @p422 :rule ho_cong :premises (@p421 @p420)) % 0.37/0.89 (step @p423 :rule trans :premises (@p422 @p416)) % 0.37/0.89 (step @p424 :rule refl :args (@t595)) % 0.37/0.89 (step @p425 :rule refl :args (@t419)) % 0.37/0.89 (step @p426 :rule cong :premises (@p425 @p424) :args ((= @t419 @t595))) % 0.37/0.89 (step @p427 :rule symm :premises (@p426)) % 0.37/0.89 (step @p428 :rule eq_resolve :premises (@p425 @p427)) % 0.37/0.89 (step @p429 :rule cong :premises (@p428) :args (@t438)) % 0.37/0.89 (step @p430 :rule nary_cong :premises (@p429 @p423) :args (@t1014)) % 0.37/0.89 (step @p431 :rule cong :premises (@p430) :args ((forall @t12 @t1014))) % 0.37/0.89 (step @p432 :rule bool-impl-elim :args (@t419 @t482)) % 0.37/0.89 (step @p433 :rule cong :premises (@p432) :args (@t483)) % 0.37/0.89 (step @p434 :rule trans :premises (@p433 @p431)) % 0.37/0.89 (step @p435 :rule refl :args (tptp.powersetsubset)) % 0.37/0.89 (step @p436 :rule cong :premises (@p435 @p434) :args (@t484)) % 0.37/0.89 (step @p437 :rule eq_resolve :premises (@p96 @p436)) % 0.37/0.89 (step @p438 :rule cong :premises (@p437 @p405) :args (@t1015)) % 0.37/0.89 (step @p439 :rule refl :args ((tptp.in @t2 @t33))) % 0.37/0.89 (step @p440 :rule cong :premises (@p368 @p364) :args (@t597)) % 0.37/0.89 (step @p441 :rule trans :premises (@p440 @p439)) % 0.37/0.89 (step @p442 :rule refl :args (@t465)) % 0.37/0.89 (step @p443 :rule ho_cong :premises (@p442 @p364)) % 0.37/0.89 (step @p444 :rule cong :premises (@p443 @p441) :args ((= (_ @t465 @t592) @t597))) % 0.37/0.89 (step @p445 :rule symm :premises (@p444)) % 0.37/0.89 (step @p446 :rule refl :args (@t479)) % 0.37/0.89 (step @p447 :rule eq_resolve :premises (@p446 @p445)) % 0.37/0.89 (step @p448 :rule ho_cong :premises (@p442 @p383)) % 0.37/0.89 (step @p449 :rule trans :premises (@p448 @p447)) % 0.37/0.89 (step @p450 :rule cong :premises (@p449) :args (@t480)) % 0.37/0.89 (step @p451 :rule refl :args (tptp.inPowerset)) % 0.37/0.89 (step @p452 :rule cong :premises (@p451 @p450) :args (@t481)) % 0.37/0.89 (step @p453 :rule eq_resolve :premises (@p95 @p452)) % 0.37/0.89 (step @p454 :rule cong :premises (@p453 @p438) :args (@t1016)) % 0.37/0.89 (step @p455 :rule refl :args (@t598)) % 0.37/0.89 (step @p456 :rule refl :args (@t424)) % 0.37/0.89 (step @p457 :rule cong :premises (@p456 @p455) :args ((= @t424 @t598))) % 0.37/0.89 (step @p458 :rule symm :premises (@p457)) % 0.37/0.89 (step @p459 :rule eq_resolve :premises (@p456 @p458)) % 0.37/0.89 (step @p460 :rule refl :args ((tptp.in @t1 @t33))) % 0.37/0.89 (step @p461 :rule refl :args (@t1)) % 0.37/0.89 (step @p462 :rule cong :premises (@p461 @p364) :args (@t599)) % 0.37/0.89 (step @p463 :rule trans :premises (@p462 @p460)) % 0.37/0.89 (step @p464 :rule refl :args (@t34)) % 0.37/0.89 (step @p465 :rule ho_cong :premises (@p464 @p364)) % 0.37/0.89 (step @p466 :rule cong :premises (@p465 @p463) :args ((= (_ @t34 @t592) @t599))) % 0.37/0.89 (step @p467 :rule symm :premises (@p466)) % 0.37/0.89 (step @p468 :rule refl :args (@t35)) % 0.37/0.89 (step @p469 :rule eq_resolve :premises (@p468 @p467)) % 0.37/0.89 (step @p470 :rule ho_cong :premises (@p464 @p383)) % 0.37/0.89 (step @p471 :rule trans :premises (@p470 @p469)) % 0.37/0.89 (step @p472 :rule cong :premises (@p471) :args (@t1017)) % 0.37/0.89 (step @p473 :rule nary_cong :premises (@p472 @p459) :args (@t1018)) % 0.37/0.89 (step @p474 :rule cong :premises (@p473) :args ((forall @t12 @t1018))) % 0.37/0.89 (step @p475 :rule bool-impl-elim :args (@t35 @t424)) % 0.37/0.89 (step @p476 :rule cong :premises (@p475) :args (@t477)) % 0.37/0.89 (step @p477 :rule trans :premises (@p476 @p474)) % 0.37/0.89 (step @p478 :rule refl :args (tptp.powersetE1)) % 0.37/0.89 (step @p479 :rule cong :premises (@p478 @p477) :args (@t478)) % 0.37/0.89 (step @p480 :rule eq_resolve :premises (@p94 @p479)) % 0.37/0.89 (step @p481 :rule cong :premises (@p480 @p454) :args (@t1019)) % 0.37/0.89 (step @p482 :rule cong :premises (@p459) :args (@t1020)) % 0.37/0.89 (step @p483 :rule nary_cong :premises (@p482 @p471) :args (@t1021)) % 0.37/0.89 (step @p484 :rule cong :premises (@p483) :args ((forall @t12 @t1021))) % 0.37/0.89 (step @p485 :rule bool-impl-elim :args (@t424 @t35)) % 0.37/0.89 (step @p486 :rule cong :premises (@p485) :args (@t475)) % 0.37/0.89 (step @p487 :rule trans :premises (@p486 @p484)) % 0.37/0.89 (step @p488 :rule refl :args (tptp.powersetI1)) % 0.37/0.89 (step @p489 :rule cong :premises (@p488 @p487) :args (@t476)) % 0.37/0.89 (step @p490 :rule eq_resolve :premises (@p93 @p489)) % 0.37/0.89 (step @p491 :rule cong :premises (@p490 @p481) :args (@t1022)) % 0.37/0.89 (step @p492 :rule refl :args (@t196)) % 0.37/0.89 (step @p493 :rule refl :args (@t602)) % 0.37/0.89 (step @p494 :rule refl :args (@t472)) % 0.37/0.89 (step @p495 :rule cong :premises (@p494 @p493) :args ((= @t472 @t602))) % 0.37/0.89 (step @p496 :rule symm :premises (@p495)) % 0.37/0.89 (step @p497 :rule eq_resolve :premises (@p494 @p496)) % 0.37/0.89 (step @p498 :rule cong :premises (@p497) :args (@t1023)) % 0.37/0.89 (step @p499 :rule nary_cong :premises (@p498 @p492) :args (@t1024)) % 0.37/0.89 (step @p500 :rule cong :premises (@p499) :args ((forall @t64 @t1024))) % 0.37/0.89 (step @p501 :rule bool-impl-elim :args (@t472 @t196)) % 0.37/0.89 (step @p502 :rule cong :premises (@p501) :args (@t473)) % 0.37/0.89 (step @p503 :rule trans :premises (@p502 @p500)) % 0.37/0.89 (step @p504 :rule refl :args (tptp.subsetemptysetimpeq)) % 0.37/0.89 (step @p505 :rule cong :premises (@p504 @p503) :args (@t474)) % 0.37/0.89 (step @p506 :rule eq_resolve :premises (@p92 @p505)) % 0.37/0.89 (step @p507 :rule cong :premises (@p506 @p491) :args (@t1025)) % 0.37/0.89 (step @p508 :rule refl :args (@t3)) % 0.37/0.89 (step @p509 :rule nary_cong :premises (@p429 @p482 @p508) :args (@t1026)) % 0.37/0.89 (step @p510 :rule cong :premises (@p509) :args ((forall @t12 @t1026))) % 0.37/0.89 (step @p511 :rule aci_norm :args ((= (or @t438 (or @t1020 @t3)) @t1026))) % 0.37/0.89 (step @p512 :rule bool-impl-elim :args (@t424 @t3)) % 0.37/0.89 (step @p513 :rule refl :args (@t438)) % 0.37/0.89 (step @p514 :rule nary_cong :premises (@p513 @p512) :args ((or @t438 @t469))) % 0.37/0.89 (step @p515 :rule trans :premises (@p514 @p511)) % 0.37/0.89 (step @p516 :rule bool-impl-elim :args (@t419 @t469)) % 0.37/0.89 (step @p517 :rule trans :premises (@p516 @p515)) % 0.37/0.89 (step @p518 :rule cong :premises (@p517) :args (@t470)) % 0.37/0.89 (step @p519 :rule trans :premises (@p518 @p510)) % 0.37/0.89 (step @p520 :rule refl :args (tptp.setextsub)) % 0.37/0.89 (step @p521 :rule cong :premises (@p520 @p519) :args (@t471)) % 0.37/0.89 (step @p522 :rule eq_resolve :premises (@p91 @p521)) % 0.37/0.89 (step @p523 :rule cong :premises (@p522 @p507) :args (@t1027)) % 0.37/0.89 (step @p524 :rule refl :args ((tptp.in @t2 @t390))) % 0.37/0.89 (step @p525 :rule cong :premises (@p368 @p407) :args (@t603)) % 0.37/0.89 (step @p526 :rule trans :premises (@p525 @p524)) % 0.37/0.89 (step @p527 :rule ho_cong :premises (@p442 @p407)) % 0.37/0.89 (step @p528 :rule cong :premises (@p527 @p526) :args ((= (_ @t465 @t593) @t603))) % 0.37/0.89 (step @p529 :rule symm :premises (@p528)) % 0.37/0.89 (step @p530 :rule refl :args (@t466)) % 0.37/0.89 (step @p531 :rule eq_resolve :premises (@p530 @p529)) % 0.37/0.89 (step @p532 :rule ho_cong :premises (@p442 @p420)) % 0.37/0.89 (step @p533 :rule trans :premises (@p532 @p531)) % 0.37/0.89 (step @p534 :rule nary_cong :premises (@p429 @p533) :args (@t1028)) % 0.37/0.89 (step @p535 :rule cong :premises (@p534) :args ((forall @t12 @t1028))) % 0.37/0.89 (step @p536 :rule bool-impl-elim :args (@t419 @t466)) % 0.37/0.89 (step @p537 :rule cong :premises (@p536) :args (@t467)) % 0.37/0.89 (step @p538 :rule trans :premises (@p537 @p535)) % 0.37/0.89 (step @p539 :rule refl :args (tptp.subset2powerset)) % 0.37/0.89 (step @p540 :rule cong :premises (@p539 @p538) :args (@t468)) % 0.37/0.89 (step @p541 :rule eq_resolve :premises (@p90 @p540)) % 0.37/0.89 (step @p542 :rule cong :premises (@p541 @p523) :args (@t1029)) % 0.37/0.89 (step @p543 :rule refl :args ((tptp.subset @t2 @t461))) % 0.37/0.89 (step @p544 :rule refl :args (@t604)) % 0.37/0.89 (step @p545 :rule cong :premises (@p368 @p544) :args (@t605)) % 0.37/0.89 (step @p546 :rule trans :premises (@p545 @p543)) % 0.37/0.89 (step @p547 :rule refl :args (@t418)) % 0.37/0.89 (step @p548 :rule ho_cong :premises (@p547 @p544)) % 0.37/0.89 (step @p549 :rule cong :premises (@p548 @p546) :args ((= (_ @t418 @t604) @t605))) % 0.37/0.89 (step @p550 :rule symm :premises (@p549)) % 0.37/0.89 (step @p551 :rule refl :args (@t462)) % 0.37/0.89 (step @p552 :rule eq_resolve :premises (@p551 @p550)) % 0.37/0.89 (step @p553 :rule refl :args (@t461)) % 0.37/0.89 (step @p554 :rule cong :premises (@p553 @p544) :args ((= @t461 @t604))) % 0.37/0.89 (step @p555 :rule symm :premises (@p554)) % 0.37/0.89 (step @p556 :rule eq_resolve :premises (@p553 @p555)) % 0.37/0.89 (step @p557 :rule ho_cong :premises (@p547 @p556)) % 0.37/0.89 (step @p558 :rule trans :premises (@p557 @p552)) % 0.37/0.89 (step @p559 :rule nary_cong :premises (@p429 @p558) :args (@t1030)) % 0.37/0.89 (step @p560 :rule cong :premises (@p559) :args ((forall @t249 @t1030))) % 0.37/0.89 (step @p561 :rule bool-impl-elim :args (@t419 @t462)) % 0.37/0.89 (step @p562 :rule cong :premises (@p561) :args (@t463)) % 0.37/0.89 (step @p563 :rule trans :premises (@p562 @p560)) % 0.37/0.89 (step @p564 :rule refl :args (tptp.setadjoinSub2)) % 0.37/0.89 (step @p565 :rule cong :premises (@p564 @p563) :args (@t464)) % 0.37/0.89 (step @p566 :rule eq_resolve :premises (@p89 @p565)) % 0.37/0.89 (step @p567 :rule cong :premises (@p566 @p542) :args (@t1031)) % 0.37/0.89 (step @p568 :rule refl :args ((tptp.subset @t2 @t25))) % 0.37/0.89 (step @p569 :rule refl :args (@t606)) % 0.37/0.89 (step @p570 :rule cong :premises (@p368 @p569) :args (@t607)) % 0.37/0.89 (step @p571 :rule trans :premises (@p570 @p568)) % 0.37/0.89 (step @p572 :rule ho_cong :premises (@p547 @p569)) % 0.37/0.89 (step @p573 :rule cong :premises (@p572 @p571) :args ((= (_ @t418 @t606) @t607))) % 0.37/0.89 (step @p574 :rule symm :premises (@p573)) % 0.37/0.89 (step @p575 :rule refl :args (@t457)) % 0.37/0.89 (step @p576 :rule eq_resolve :premises (@p575 @p574)) % 0.37/0.89 (step @p577 :rule refl :args (@t25)) % 0.37/0.89 (step @p578 :rule cong :premises (@p577 @p569) :args ((= @t25 @t606))) % 0.37/0.89 (step @p579 :rule symm :premises (@p578)) % 0.37/0.89 (step @p580 :rule eq_resolve :premises (@p577 @p579)) % 0.37/0.89 (step @p581 :rule ho_cong :premises (@p547 @p580)) % 0.37/0.89 (step @p582 :rule trans :premises (@p581 @p576)) % 0.37/0.89 (step @p583 :rule cong :premises (@p582) :args (@t459)) % 0.37/0.89 (step @p584 :rule refl :args (tptp.setadjoinSub)) % 0.37/0.89 (step @p585 :rule cong :premises (@p584 @p583) :args (@t460)) % 0.37/0.89 (step @p586 :rule eq_resolve :premises (@p88 @p585)) % 0.37/0.89 (step @p587 :rule cong :premises (@p586 @p567) :args (@t1032)) % 0.37/0.89 (step @p588 :rule refl :args (@t608)) % 0.37/0.89 (step @p589 :rule refl :args (@t451)) % 0.37/0.89 (step @p590 :rule cong :premises (@p589 @p588) :args ((= @t451 @t608))) % 0.37/0.89 (step @p591 :rule symm :premises (@p590)) % 0.37/0.89 (step @p592 :rule eq_resolve :premises (@p589 @p591)) % 0.37/0.89 (step @p593 :rule refl :args (@t609)) % 0.37/0.89 (step @p594 :rule refl :args (@t452)) % 0.37/0.89 (step @p595 :rule cong :premises (@p594 @p593) :args ((= @t452 @t609))) % 0.37/0.89 (step @p596 :rule symm :premises (@p595)) % 0.37/0.89 (step @p597 :rule eq_resolve :premises (@p594 @p596)) % 0.37/0.89 (step @p598 :rule cong :premises (@p597) :args (@t1033)) % 0.37/0.89 (step @p599 :rule nary_cong :premises (@p429 @p598 @p592) :args (@t1034)) % 0.37/0.89 (step @p600 :rule cong :premises (@p599) :args ((forall @t454 @t1034))) % 0.37/0.89 (step @p601 :rule aci_norm :args ((= (or @t438 (or @t1033 @t451)) @t1034))) % 0.37/0.89 (step @p602 :rule bool-impl-elim :args (@t452 @t451)) % 0.37/0.89 (step @p603 :rule nary_cong :premises (@p513 @p602) :args ((or @t438 @t453))) % 0.37/0.89 (step @p604 :rule trans :premises (@p603 @p601)) % 0.37/0.89 (step @p605 :rule bool-impl-elim :args (@t419 @t453)) % 0.37/0.89 (step @p606 :rule trans :premises (@p605 @p604)) % 0.37/0.89 (step @p607 :rule cong :premises (@p606) :args (@t455)) % 0.37/0.89 (step @p608 :rule trans :premises (@p607 @p600)) % 0.37/0.89 (step @p609 :rule refl :args (tptp.subsetTrans)) % 0.37/0.89 (step @p610 :rule cong :premises (@p609 @p608) :args (@t456)) % 0.37/0.89 (step @p611 :rule eq_resolve :premises (@p87 @p610)) % 0.37/0.89 (step @p612 :rule cong :premises (@p611 @p587) :args (@t1035)) % 0.37/0.89 (step @p613 :rule refl :args (@t610)) % 0.37/0.89 (step @p614 :rule refl :args (@t448)) % 0.37/0.89 (step @p615 :rule cong :premises (@p614 @p613) :args ((= @t448 @t610))) % 0.37/0.89 (step @p616 :rule symm :premises (@p615)) % 0.37/0.89 (step @p617 :rule eq_resolve :premises (@p614 @p616)) % 0.37/0.89 (step @p618 :rule cong :premises (@p617) :args (@t449)) % 0.37/0.89 (step @p619 :rule refl :args (tptp.subsetRefl)) % 0.37/0.89 (step @p620 :rule cong :premises (@p619 @p618) :args (@t450)) % 0.37/0.89 (step @p621 :rule eq_resolve :premises (@p86 @p620)) % 0.37/0.89 (step @p622 :rule cong :premises (@p621 @p612) :args (@t1036)) % 0.37/0.89 (step @p623 :rule bool-eq-true :args (tptp.notequalI2)) % 0.37/0.89 (step @p624 :rule symm :premises (@p623)) % 0.37/0.89 (step @p625 :rule quant-unused-vars :args ((= (forall @t1037 true) true))) % 0.37/0.89 (step @p626 :rule bool-or-taut2 :args (false @t614 false false)) % 0.37/0.89 (step @p627 :rule cong :premises (@p626) :args ((forall @t1037 @t1038))) % 0.37/0.89 (step @p628 :rule trans :premises (@p627 @p625)) % 0.37/0.89 (step @p629 :rule aci_norm :args ((= (or @t631 @t614 false) @t1038))) % 0.37/0.89 (step @p630 :rule evaluate :args (@t1039)) % 0.37/0.89 (step @p631 :rule eq-refl :args (@t1)) % 0.37/0.89 (step @p632 :rule cong :premises (@p631) :args (@t1040)) % 0.37/0.89 (step @p633 :rule trans :premises (@p632 @p630)) % 0.37/0.89 (step @p634 :rule refl :args (@t614)) % 0.37/0.89 (step @p635 :rule refl :args (@t631)) % 0.37/0.89 (step @p636 :rule nary_cong :premises (@p635 @p634 @p633) :args (@t1041)) % 0.37/0.89 (step @p637 :rule trans :premises (@p636 @p629)) % 0.37/0.89 (step @p638 :rule cong :premises (@p637) :args ((forall @t1037 @t1041))) % 0.37/0.89 (step @p639 :rule trans :premises (@p638 @p628)) % 0.37/0.89 (step @p640 :rule quant-var-elim-eq :args ((= (forall @t64 @t1042) @t1041))) % 0.37/0.89 (step @p641 :rule aci_norm :args ((= @t1043 @t1042))) % 0.37/0.89 (step @p642 :rule cong :premises (@p641) :args (@t1044)) % 0.37/0.89 (step @p643 :rule trans :premises (@p642 @p640)) % 0.37/0.89 (step @p644 :rule cong :premises (@p643) :args (@t1045)) % 0.37/0.89 (step @p645 :rule quant-merge-prenex :args ((= @t1045 @t1046))) % 0.37/0.89 (step @p646 :rule symm :premises (@p645)) % 0.37/0.89 (step @p647 :rule quant_var_reordering :args ((= (forall @t245 @t1043) @t1046))) % 0.37/0.89 (step @p648 :rule trans :premises (@p647 @p646 @p644)) % 0.37/0.89 (step @p649 :rule trans :premises (@p648 @p639)) % 0.37/0.89 (step @p650 :rule refl :args (@t442)) % 0.37/0.89 (step @p651 :rule refl :args (@t614)) % 0.37/0.89 (step @p652 :rule refl :args (@t6)) % 0.37/0.89 (step @p653 :rule cong :premises (@p652 @p651) :args ((= @t6 @t614))) % 0.37/0.89 (step @p654 :rule symm :premises (@p653)) % 0.37/0.89 (step @p655 :rule eq_resolve :premises (@p652 @p654)) % 0.37/0.89 (step @p656 :rule refl :args (@t615)) % 0.37/0.89 (step @p657 :rule refl :args (@t7)) % 0.37/0.89 (step @p658 :rule cong :premises (@p657 @p656) :args ((= @t7 @t615))) % 0.37/0.89 (step @p659 :rule symm :premises (@p658)) % 0.37/0.89 (step @p660 :rule eq_resolve :premises (@p657 @p659)) % 0.37/0.89 (step @p661 :rule cong :premises (@p660) :args (@t197)) % 0.37/0.89 (step @p662 :rule nary_cong :premises (@p661 @p655 @p650) :args (@t1047)) % 0.37/0.89 (step @p663 :rule cong :premises (@p662) :args ((forall @t245 @t1047))) % 0.37/0.89 (step @p664 :rule trans :premises (@p663 @p649)) % 0.37/0.89 (step @p665 :rule aci_norm :args ((= (or @t197 (or @t6 @t442)) @t1047))) % 0.37/0.89 (step @p666 :rule bool-double-not-elim :args (@t6)) % 0.37/0.89 (step @p667 :rule nary_cong :premises (@p666 @p650) :args ((or @t1048 @t442))) % 0.37/0.89 (step @p668 :rule bool-impl-elim :args (@t434 @t442)) % 0.37/0.89 (step @p669 :rule trans :premises (@p668 @p667)) % 0.37/0.89 (step @p670 :rule refl :args (@t197)) % 0.37/0.89 (step @p671 :rule nary_cong :premises (@p670 @p669) :args ((or @t197 @t445))) % 0.37/0.89 (step @p672 :rule trans :premises (@p671 @p665)) % 0.37/0.89 (step @p673 :rule bool-impl-elim :args (@t7 @t445)) % 0.37/0.89 (step @p674 :rule trans :premises (@p673 @p672)) % 0.37/0.89 (step @p675 :rule cong :premises (@p674) :args (@t446)) % 0.37/0.89 (step @p676 :rule trans :premises (@p675 @p664)) % 0.37/0.89 (step @p677 :rule refl :args (tptp.notequalI2)) % 0.37/0.89 (step @p678 :rule cong :premises (@p677 @p676) :args (@t447)) % 0.37/0.89 (step @p679 :rule trans :premises (@p678 @p623)) % 0.37/0.89 (step @p680 :rule eq_resolve :premises (@p85 @p679)) % 0.37/0.89 (step @p681 :rule eq_resolve :premises (@p680 @p624)) % 0.37/0.89 (step @p682 :rule cong :premises (@p681 @p622) :args (@t1049)) % 0.37/0.89 (step @p683 :rule aci_norm :args ((= (or @t612 false) @t612))) % 0.37/0.89 (step @p684 :rule refl :args (@t612)) % 0.37/0.89 (step @p685 :rule nary_cong :premises (@p684 @p633) :args (@t1050)) % 0.37/0.89 (step @p686 :rule trans :premises (@p685 @p683)) % 0.37/0.89 (step @p687 :rule cong :premises (@p686) :args ((forall @t41 @t1050))) % 0.37/0.89 (step @p688 :rule quant-var-elim-eq :args ((= (forall @t64 @t1051) @t1050))) % 0.37/0.89 (step @p689 :rule aci_norm :args ((= @t1052 @t1051))) % 0.37/0.89 (step @p690 :rule cong :premises (@p689) :args (@t1053)) % 0.37/0.89 (step @p691 :rule trans :premises (@p690 @p688)) % 0.37/0.89 (step @p692 :rule cong :premises (@p691) :args (@t1054)) % 0.37/0.89 (step @p693 :rule quant-merge-prenex :args ((= @t1054 @t1056))) % 0.37/0.89 (step @p694 :rule symm :premises (@p693)) % 0.37/0.89 (step @p695 :rule quant_var_reordering :args ((= (forall @t12 @t1052) @t1056))) % 0.37/0.89 (step @p696 :rule trans :premises (@p695 @p694 @p692)) % 0.37/0.89 (step @p697 :rule trans :premises (@p696 @p687)) % 0.37/0.89 (step @p698 :rule nary_cong :premises (@p428 @p650) :args (@t1057)) % 0.37/0.89 (step @p699 :rule cong :premises (@p698) :args ((forall @t12 @t1057))) % 0.37/0.89 (step @p700 :rule trans :premises (@p699 @p697)) % 0.37/0.89 (step @p701 :rule bool-double-not-elim :args (@t419)) % 0.37/0.89 (step @p702 :rule nary_cong :premises (@p701 @p650) :args ((or (not @t438) @t442))) % 0.37/0.89 (step @p703 :rule bool-impl-elim :args (@t438 @t442)) % 0.37/0.89 (step @p704 :rule trans :premises (@p703 @p702)) % 0.37/0.89 (step @p705 :rule cong :premises (@p704) :args (@t443)) % 0.37/0.89 (step @p706 :rule trans :premises (@p705 @p700)) % 0.37/0.89 (step @p707 :rule refl :args (tptp.notequalI1)) % 0.37/0.89 (step @p708 :rule cong :premises (@p707 @p706) :args (@t444)) % 0.37/0.89 (step @p709 :rule eq_resolve :premises (@p84 @p708)) % 0.37/0.89 (step @p710 :rule cong :premises (@p709 @p682) :args (@t1058)) % 0.37/0.89 (step @p711 :rule nary_cong :premises (@p661 @p655 @p429) :args (@t1059)) % 0.37/0.89 (step @p712 :rule cong :premises (@p711) :args ((forall @t245 @t1059))) % 0.37/0.89 (step @p713 :rule aci_norm :args ((= (or @t197 (or @t6 @t438)) @t1059))) % 0.37/0.89 (step @p714 :rule nary_cong :premises (@p666 @p513) :args ((or @t1048 @t438))) % 0.37/0.89 (step @p715 :rule bool-impl-elim :args (@t434 @t438)) % 0.37/0.89 (step @p716 :rule trans :premises (@p715 @p714)) % 0.37/0.89 (step @p717 :rule nary_cong :premises (@p670 @p716) :args ((or @t197 @t439))) % 0.37/0.89 (step @p718 :rule trans :premises (@p717 @p713)) % 0.37/0.89 (step @p719 :rule bool-impl-elim :args (@t7 @t439)) % 0.37/0.89 (step @p720 :rule trans :premises (@p719 @p718)) % 0.37/0.89 (step @p721 :rule cong :premises (@p720) :args (@t440)) % 0.37/0.89 (step @p722 :rule trans :premises (@p721 @p712)) % 0.37/0.89 (step @p723 :rule refl :args (tptp.notsubsetI)) % 0.37/0.89 (step @p724 :rule cong :premises (@p723 @p722) :args (@t441)) % 0.37/0.89 (step @p725 :rule eq_resolve :premises (@p83 @p724)) % 0.37/0.89 (step @p726 :rule cong :premises (@p725 @p710) :args (@t1060)) % 0.37/0.89 (step @p727 :rule nary_cong :premises (@p429 @p655 @p661) :args (@t1061)) % 0.37/0.89 (step @p728 :rule cong :premises (@p727) :args ((forall @t245 @t1061))) % 0.37/0.89 (step @p729 :rule aci_norm :args ((= (or @t438 (or @t6 @t197)) @t1061))) % 0.37/0.89 (step @p730 :rule nary_cong :premises (@p666 @p670) :args ((or @t1048 @t197))) % 0.37/0.89 (step @p731 :rule bool-impl-elim :args (@t434 @t197)) % 0.37/0.89 (step @p732 :rule trans :premises (@p731 @p730)) % 0.37/0.89 (step @p733 :rule nary_cong :premises (@p513 @p732) :args ((or @t438 @t435))) % 0.37/0.89 (step @p734 :rule trans :premises (@p733 @p729)) % 0.37/0.89 (step @p735 :rule bool-impl-elim :args (@t419 @t435)) % 0.37/0.89 (step @p736 :rule trans :premises (@p735 @p734)) % 0.37/0.89 (step @p737 :rule cong :premises (@p736) :args (@t436)) % 0.37/0.89 (step @p738 :rule trans :premises (@p737 @p728)) % 0.37/0.89 (step @p739 :rule refl :args (tptp.subsetE2)) % 0.37/0.89 (step @p740 :rule cong :premises (@p739 @p738) :args (@t437)) % 0.37/0.89 (step @p741 :rule eq_resolve :premises (@p82 @p740)) % 0.37/0.89 (step @p742 :rule cong :premises (@p741 @p726) :args (@t1062)) % 0.37/0.89 (step @p743 :rule nary_cong :premises (@p429 @p661 @p655) :args (@t1063)) % 0.37/0.89 (step @p744 :rule cong :premises (@p743) :args ((forall @t245 @t1063))) % 0.37/0.89 (step @p745 :rule aci_norm :args ((= (or @t438 @t1064) @t1063))) % 0.37/0.89 (step @p746 :rule bool-impl-elim :args (@t7 @t6)) % 0.37/0.89 (step @p747 :rule nary_cong :premises (@p513 @p746) :args ((or @t438 @t191))) % 0.37/0.89 (step @p748 :rule trans :premises (@p747 @p745)) % 0.37/0.89 (step @p749 :rule bool-impl-elim :args (@t419 @t191)) % 0.37/0.89 (step @p750 :rule trans :premises (@p749 @p748)) % 0.37/0.89 (step @p751 :rule cong :premises (@p750) :args (@t432)) % 0.37/0.89 (step @p752 :rule trans :premises (@p751 @p744)) % 0.37/0.89 (step @p753 :rule refl :args (tptp.subsetE)) % 0.37/0.89 (step @p754 :rule cong :premises (@p753 @p752) :args (@t433)) % 0.37/0.89 (step @p755 :rule eq_resolve :premises (@p81 @p754)) % 0.37/0.89 (step @p756 :rule cong :premises (@p755 @p742) :args (@t1065)) % 0.37/0.89 (step @p757 :rule refl :args (@t620)) % 0.37/0.89 (step @p758 :rule refl :args (@t429)) % 0.37/0.89 (step @p759 :rule cong :premises (@p758 @p757) :args ((= @t429 @t620))) % 0.37/0.89 (step @p760 :rule symm :premises (@p759)) % 0.37/0.89 (step @p761 :rule eq_resolve :premises (@p758 @p760)) % 0.37/0.89 (step @p762 :rule cong :premises (@p761) :args (@t430)) % 0.37/0.89 (step @p763 :rule refl :args (tptp.emptysetsubset)) % 0.37/0.89 (step @p764 :rule cong :premises (@p763 @p762) :args (@t431)) % 0.37/0.89 (step @p765 :rule eq_resolve :premises (@p80 @p764)) % 0.37/0.89 (step @p766 :rule cong :premises (@p765 @p756) :args (@t1066)) % 0.37/0.89 (step @p767 :rule eq-symm :args (@t624 tptp.subsetI2)) % 0.37/0.89 (step @p768 :rule refl :args (tptp.subsetI2)) % 0.37/0.89 (step @p769 :rule refl :args (@t623)) % 0.37/0.89 (step @p770 :rule nary_cong :premises (@p769 @p428) :args (@t1067)) % 0.37/0.89 (step @p771 :rule cong :premises (@p770) :args ((forall @t12 @t1067))) % 0.37/0.89 (step @p772 :rule bool-impl-elim :args (@t622 @t419)) % 0.37/0.89 (step @p773 :rule cong :premises (@p772) :args ((forall @t12 (=> @t622 @t419)))) % 0.37/0.89 (step @p774 :rule trans :premises (@p773 @p771)) % 0.37/0.89 (step @p775 :rule refl :args (@t419)) % 0.37/0.89 (step @p776 :rule nary_cong :premises (@p661 @p655) :args (@t1064)) % 0.37/0.89 (step @p777 :rule cong :premises (@p776) :args ((forall @t9 @t1064))) % 0.37/0.89 (step @p778 :rule cong :premises (@p746) :args (@t192)) % 0.37/0.89 (step @p779 :rule trans :premises (@p778 @p777)) % 0.37/0.89 (step @p780 :rule cong :premises (@p779 @p775) :args (@t420)) % 0.37/0.89 (step @p781 :rule cong :premises (@p780) :args (@t421)) % 0.37/0.89 (step @p782 :rule trans :premises (@p781 @p774)) % 0.37/0.89 (step @p783 :rule cong :premises (@p782 @p768) :args ((= @t421 tptp.subsetI2))) % 0.37/0.89 (step @p784 :rule trans :premises (@p783 @p767)) % 0.37/0.89 (step @p785 :rule eq-symm :args (tptp.subsetI2 @t421)) % 0.37/0.89 (step @p786 :rule trans :premises (@p785 @p784)) % 0.37/0.89 (step @p787 :rule eq_resolve :premises (@p79 @p786)) % 0.37/0.89 (step @p788 :rule cong :premises (@p787 @p766) :args (@t1068)) % 0.37/0.89 (step @p789 :rule aci_norm :args ((= (or false @t612) @t612))) % 0.37/0.89 (step @p790 :rule nary_cong :premises (@p633 @p684) :args (@t1069)) % 0.37/0.89 (step @p791 :rule trans :premises (@p790 @p789)) % 0.37/0.89 (step @p792 :rule cong :premises (@p791) :args ((forall @t41 @t1069))) % 0.37/0.89 (step @p793 :rule quant-var-elim-eq :args ((= (forall @t64 @t1070) @t1069))) % 0.37/0.89 (step @p794 :rule aci_norm :args ((= @t1071 @t1070))) % 0.37/0.89 (step @p795 :rule cong :premises (@p794) :args (@t1072)) % 0.37/0.89 (step @p796 :rule trans :premises (@p795 @p793)) % 0.37/0.89 (step @p797 :rule cong :premises (@p796) :args (@t1073)) % 0.37/0.89 (step @p798 :rule quant-merge-prenex :args ((= @t1073 @t1074))) % 0.37/0.89 (step @p799 :rule symm :premises (@p798)) % 0.37/0.89 (step @p800 :rule quant_var_reordering :args ((= (forall @t12 @t1071) @t1074))) % 0.37/0.89 (step @p801 :rule trans :premises (@p800 @p799 @p797)) % 0.37/0.89 (step @p802 :rule trans :premises (@p801 @p792)) % 0.37/0.89 (step @p803 :rule nary_cong :premises (@p650 @p428) :args (@t1075)) % 0.37/0.89 (step @p804 :rule cong :premises (@p803) :args ((forall @t12 @t1075))) % 0.37/0.89 (step @p805 :rule trans :premises (@p804 @p802)) % 0.37/0.89 (step @p806 :rule bool-impl-elim :args (@t3 @t419)) % 0.37/0.89 (step @p807 :rule cong :premises (@p806) :args (@t427)) % 0.37/0.89 (step @p808 :rule trans :premises (@p807 @p805)) % 0.37/0.89 (step @p809 :rule refl :args (tptp.eqimpsubset1)) % 0.37/0.89 (step @p810 :rule cong :premises (@p809 @p808) :args (@t428)) % 0.37/0.89 (step @p811 :rule eq_resolve :premises (@p78 @p810)) % 0.37/0.89 (step @p812 :rule cong :premises (@p811 @p788) :args (@t1076)) % 0.37/0.89 (step @p813 :rule quant-var-elim-eq :args ((= (forall @t64 @t1077) @t1069))) % 0.37/0.89 (step @p814 :rule aci_norm :args ((= @t1078 @t1077))) % 0.37/0.89 (step @p815 :rule cong :premises (@p814) :args (@t1079)) % 0.37/0.89 (step @p816 :rule trans :premises (@p815 @p813)) % 0.37/0.89 (step @p817 :rule cong :premises (@p816) :args (@t1080)) % 0.37/0.89 (step @p818 :rule quant-merge-prenex :args ((= @t1080 @t1081))) % 0.37/0.89 (step @p819 :rule symm :premises (@p818)) % 0.37/0.89 (step @p820 :rule quant_var_reordering :args ((= (forall @t12 @t1078) @t1081))) % 0.37/0.89 (step @p821 :rule trans :premises (@p820 @p819 @p817)) % 0.37/0.89 (step @p822 :rule trans :premises (@p821 @p792)) % 0.37/0.89 (step @p823 :rule nary_cong :premises (@p650 @p459) :args (@t1082)) % 0.37/0.89 (step @p824 :rule cong :premises (@p823) :args ((forall @t12 @t1082))) % 0.37/0.89 (step @p825 :rule trans :premises (@p824 @p822)) % 0.37/0.89 (step @p826 :rule bool-impl-elim :args (@t3 @t424)) % 0.37/0.89 (step @p827 :rule cong :premises (@p826) :args (@t425)) % 0.37/0.89 (step @p828 :rule trans :premises (@p827 @p825)) % 0.37/0.89 (step @p829 :rule refl :args (tptp.eqimpsubset2)) % 0.37/0.89 (step @p830 :rule cong :premises (@p829 @p828) :args (@t426)) % 0.37/0.89 (step @p831 :rule eq_resolve :premises (@p77 @p830)) % 0.37/0.89 (step @p832 :rule cong :premises (@p831 @p812) :args (@t1083)) % 0.37/0.89 (step @p833 :rule refl :args (tptp.subsetI1)) % 0.37/0.89 (step @p834 :rule cong :premises (@p833 @p782) :args (@t422)) % 0.37/0.89 (step @p835 :rule eq_resolve :premises (@p76 @p834)) % 0.37/0.89 (step @p836 :rule cong :premises (@p835 @p832) :args (@t1084)) % 0.37/0.89 (step @p837 :rule aci_norm :args ((= (or false @t633 @t629) @t634))) % 0.37/0.89 (step @p838 :rule eq-symm :args (@t626 @t628)) % 0.37/0.89 (step @p839 :rule aci_norm :args ((= @t1085 @t632))) % 0.37/0.89 (step @p840 :rule cong :premises (@p839) :args (@t1086)) % 0.37/0.89 (step @p841 :rule cong :premises (@p840) :args (@t1087)) % 0.37/0.89 (step @p842 :rule nary_cong :premises (@p633 @p841 @p838) :args (@t1088)) % 0.37/0.89 (step @p843 :rule trans :premises (@p842 @p837)) % 0.37/0.89 (step @p844 :rule cong :premises (@p843) :args ((forall @t635 @t1088))) % 0.37/0.89 (step @p845 :rule quant-var-elim-eq :args ((= (forall @t64 @t1091) @t1088))) % 0.37/0.89 (step @p846 :rule aci_norm :args ((= @t1092 @t1091))) % 0.37/0.89 (step @p847 :rule cong :premises (@p846) :args (@t1093)) % 0.37/0.89 (step @p848 :rule trans :premises (@p847 @p845)) % 0.37/0.89 (step @p849 :rule cong :premises (@p848) :args (@t1094)) % 0.37/0.89 (step @p850 :rule quant-merge-prenex :args ((= @t1094 @t1095))) % 0.37/0.89 (step @p851 :rule symm :premises (@p850)) % 0.37/0.89 (step @p852 :rule quant_var_reordering :args ((= (forall @t1096 @t1092) @t1095))) % 0.37/0.89 (step @p853 :rule trans :premises (@p852 @p851 @p849)) % 0.37/0.89 (step @p854 :rule trans :premises (@p853 @p844)) % 0.37/0.89 (step @p855 :rule aci_norm :args ((= @t1098 @t1092))) % 0.37/0.89 (step @p856 :rule cong :premises (@p855) :args (@t1099)) % 0.37/0.89 (step @p857 :rule trans :premises (@p856 @p854)) % 0.37/0.89 (step @p858 :rule quant-merge-prenex :args ((= (forall @t12 @t1101) @t1099))) % 0.37/0.89 (step @p859 :rule alpha_equiv :args (@t1102 (@list @t625 @t627) (@list @t143 @t365))) % 0.37/0.89 (step @p860 :rule nary_cong :premises (@p650 @p859) :args (@t1103)) % 0.37/0.89 (step @p861 :rule quant-miniscope-or :args ((= @t1101 @t1103))) % 0.37/0.89 (step @p862 :rule trans :premises (@p861 @p860)) % 0.37/0.89 (step @p863 :rule symm :premises (@p862)) % 0.37/0.89 (step @p864 :rule cong :premises (@p863) :args ((forall @t12 (or @t442 @t1107)))) % 0.37/0.89 (step @p865 :rule trans :premises (@p864 @p858)) % 0.37/0.89 (step @p866 :rule trans :premises (@p865 @p857)) % 0.37/0.89 (step @p867 :rule bool-impl-elim :args (@t3 @t1107)) % 0.37/0.89 (step @p868 :rule cong :premises (@p867) :args ((forall @t12 (=> @t3 @t1107)))) % 0.37/0.89 (step @p869 :rule trans :premises (@p868 @p866)) % 0.37/0.89 (step @p870 :rule lambda-elim :args ((= @t1108 @t365))) % 0.37/0.89 (step @p871 :rule refl :args (@t1)) % 0.37/0.89 (step @p872 :rule cong :premises (@p871 @p870) :args (@t1109)) % 0.37/0.89 (step @p873 :rule cong :premises (@p360 @p872) :args (@t1110)) % 0.37/0.89 (step @p874 :rule refl :args (@t1106)) % 0.37/0.89 (step @p875 :rule nary_cong :premises (@p874 @p873) :args (@t1111)) % 0.37/0.89 (step @p876 :rule cong :premises (@p875) :args ((forall @t375 @t1111))) % 0.37/0.89 (step @p877 :rule refl :args ((tptp.dsetconstr @t1 @t367))) % 0.37/0.89 (step @p878 :rule refl :args (@t662)) % 0.37/0.89 (step @p879 :rule cong :premises (@p878) :args (@t1108)) % 0.37/0.89 (step @p880 :rule cong :premises (@p461 @p879) :args (@t1109)) % 0.37/0.89 (step @p881 :rule trans :premises (@p880 @p877)) % 0.37/0.89 (step @p882 :rule refl :args (@t407)) % 0.37/0.89 (step @p883 :rule ho_cong :premises (@p882 @p879)) % 0.37/0.89 (step @p884 :rule cong :premises (@p883 @p881) :args ((= (_ @t407 @t1108) @t1109))) % 0.37/0.89 (step @p885 :rule symm :premises (@p884)) % 0.37/0.89 (step @p886 :rule refl :args (@t408)) % 0.37/0.89 (step @p887 :rule eq_resolve :premises (@p886 @p885)) % 0.37/0.89 (step @p888 :rule refl :args (@t366)) % 0.37/0.89 (step @p889 :rule cong :premises (@p888 @p878) :args ((= @t366 @t662))) % 0.37/0.89 (step @p890 :rule symm :premises (@p889)) % 0.37/0.89 (step @p891 :rule eq_resolve :premises (@p888 @p890)) % 0.37/0.89 (step @p892 :rule cong :premises (@p891) :args (@t367)) % 0.37/0.89 (step @p893 :rule ho_cong :premises (@p882 @p892)) % 0.37/0.89 (step @p894 :rule trans :premises (@p893 @p887)) % 0.37/0.89 (step @p895 :rule cong :premises (@p396 @p894) :args (@t409)) % 0.37/0.89 (step @p896 :rule refl :args (@t1106)) % 0.37/0.89 (step @p897 :rule nary_cong :premises (@p896 @p895) :args (@t1112)) % 0.37/0.89 (step @p898 :rule cong :premises (@p897) :args ((forall @t375 @t1112))) % 0.37/0.89 (step @p899 :rule trans :premises (@p898 @p876)) % 0.37/0.89 (step @p900 :rule bool-impl-elim :args (@t1105 @t409)) % 0.37/0.89 (step @p901 :rule cong :premises (@p900) :args ((forall @t375 (=> @t1105 @t409)))) % 0.37/0.89 (step @p902 :rule trans :premises (@p901 @p899)) % 0.37/0.89 (step @p903 :rule refl :args (@t409)) % 0.37/0.89 (step @p904 :rule refl :args (@t1104)) % 0.37/0.89 (step @p905 :rule refl :args (@t631)) % 0.37/0.89 (step @p906 :rule nary_cong :premises (@p661 @p905 @p904) :args (@t1113)) % 0.37/0.89 (step @p907 :rule cong :premises (@p906) :args ((forall @t9 @t1113))) % 0.37/0.89 (step @p908 :rule aci_norm :args ((= (or @t197 @t1114) @t1113))) % 0.37/0.89 (step @p909 :rule bool-impl-elim :args (@t7 @t1114)) % 0.37/0.89 (step @p910 :rule trans :premises (@p909 @p908)) % 0.37/0.89 (step @p911 :rule cong :premises (@p910) :args ((forall @t9 (=> @t7 @t1114)))) % 0.37/0.89 (step @p912 :rule trans :premises (@p911 @p907)) % 0.37/0.89 (step @p913 :rule aci_norm :args ((= (or @t631 false @t1104) @t1114))) % 0.37/0.89 (step @p914 :rule refl :args (@t1104)) % 0.37/0.89 (step @p915 :rule eq-refl :args (@t4)) % 0.37/0.89 (step @p916 :rule cong :premises (@p915) :args (@t1115)) % 0.37/0.89 (step @p917 :rule trans :premises (@p916 @p630)) % 0.37/0.89 (step @p918 :rule nary_cong :premises (@p635 @p917 @p914) :args (@t1116)) % 0.37/0.89 (step @p919 :rule trans :premises (@p918 @p913)) % 0.37/0.89 (step @p920 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t1119 @t282 @t1117)) @t1116))) % 0.37/0.89 (step @p921 :rule refl :args (@t1117)) % 0.37/0.89 (step @p922 :rule refl :args (@t282)) % 0.37/0.89 (step @p923 :rule refl :args (@t1119)) % 0.37/0.89 (step @p924 :rule eq-symm :args (@t4 @t19)) % 0.37/0.89 (step @p925 :rule cong :premises (@p924) :args (@t282)) % 0.37/0.89 (step @p926 :rule nary_cong :premises (@p925 @p923 @p922 @p921) :args (@t1120)) % 0.37/0.89 (step @p927 :rule aci_norm :args ((= @t1121 @t1120))) % 0.37/0.89 (step @p928 :rule trans :premises (@p927 @p926)) % 0.37/0.89 (step @p929 :rule cong :premises (@p928) :args ((forall @t70 @t1121))) % 0.37/0.89 (step @p930 :rule trans :premises (@p929 @p920)) % 0.37/0.89 (step @p931 :rule trans :premises (@p930 @p919)) % 0.37/0.89 (step @p932 :rule refl :args (@t638)) % 0.37/0.89 (step @p933 :rule refl :args (@t370)) % 0.37/0.89 (step @p934 :rule cong :premises (@p933 @p932) :args ((= @t370 @t638))) % 0.37/0.89 (step @p935 :rule symm :premises (@p934)) % 0.37/0.89 (step @p936 :rule eq_resolve :premises (@p933 @p935)) % 0.37/0.89 (step @p937 :rule cong :premises (@p393 @p936) :args (@t371)) % 0.37/0.89 (step @p938 :rule refl :args (@t1118)) % 0.37/0.89 (step @p939 :rule refl :args (@t351)) % 0.37/0.89 (step @p940 :rule cong :premises (@p939 @p938) :args ((= @t351 @t1118))) % 0.37/0.89 (step @p941 :rule symm :premises (@p940)) % 0.37/0.89 (step @p942 :rule eq_resolve :premises (@p939 @p941)) % 0.37/0.89 (step @p943 :rule cong :premises (@p942) :args (@t1122)) % 0.37/0.89 (step @p944 :rule nary_cong :premises (@p943 @p922 @p937) :args (@t1123)) % 0.37/0.89 (step @p945 :rule cong :premises (@p944) :args ((forall @t70 @t1123))) % 0.37/0.89 (step @p946 :rule trans :premises (@p945 @p931)) % 0.37/0.89 (step @p947 :rule aci_norm :args ((= (or @t1122 @t1124) @t1123))) % 0.37/0.89 (step @p948 :rule bool-impl-elim :args (@t129 @t371)) % 0.37/0.89 (step @p949 :rule refl :args (@t1122)) % 0.37/0.89 (step @p950 :rule nary_cong :premises (@p949 @p948) :args ((or @t1122 @t372))) % 0.37/0.89 (step @p951 :rule trans :premises (@p950 @p947)) % 0.37/0.89 (step @p952 :rule bool-impl-elim :args (@t351 @t372)) % 0.37/0.89 (step @p953 :rule trans :premises (@p952 @p951)) % 0.37/0.89 (step @p954 :rule cong :premises (@p953) :args (@t410)) % 0.37/0.89 (step @p955 :rule trans :premises (@p954 @p946)) % 0.37/0.89 (step @p956 :rule refl :args (@t7)) % 0.37/0.89 (step @p957 :rule cong :premises (@p956 @p955) :args (@t411)) % 0.37/0.89 (step @p958 :rule cong :premises (@p957) :args (@t412)) % 0.37/0.89 (step @p959 :rule trans :premises (@p958 @p912)) % 0.37/0.89 (step @p960 :rule cong :premises (@p959 @p903) :args (@t413)) % 0.37/0.89 (step @p961 :rule cong :premises (@p960) :args (@t414)) % 0.37/0.89 (step @p962 :rule trans :premises (@p961 @p902)) % 0.37/0.89 (step @p963 :rule refl :args (@t3)) % 0.37/0.89 (step @p964 :rule cong :premises (@p963 @p962) :args (@t415)) % 0.37/0.89 (step @p965 :rule cong :premises (@p964) :args (@t416)) % 0.37/0.89 (step @p966 :rule trans :premises (@p965 @p869)) % 0.37/0.89 (step @p967 :rule refl :args (tptp.dsetconstr__Cong)) % 0.37/0.89 (step @p968 :rule cong :premises (@p967 @p966) :args (@t417)) % 0.37/0.89 (step @p969 :rule eq_resolve :premises (@p75 @p968)) % 0.37/0.89 (step @p970 :rule cong :premises (@p969 @p836) :args (@t1125)) % 0.37/0.89 (step @p971 :rule eq-symm :args (@t637 @t19)) % 0.37/0.89 (step @p972 :rule refl :args (@t639)) % 0.37/0.89 (step @p973 :rule nary_cong :premises (@p972 @p971) :args (@t1126)) % 0.37/0.89 (step @p974 :rule cong :premises (@p973) :args (@t1127)) % 0.37/0.89 (step @p975 :rule cong :premises (@p974) :args (@t1128)) % 0.37/0.89 (step @p976 :rule refl :args (@t640)) % 0.37/0.89 (step @p977 :rule eq-symm :args (@t641 @t19)) % 0.37/0.89 (step @p978 :rule refl :args (@t643)) % 0.37/0.89 (step @p979 :rule nary_cong :premises (@p978 @p977) :args (@t1129)) % 0.37/0.89 (step @p980 :rule cong :premises (@p979) :args (@t1130)) % 0.37/0.89 (step @p981 :rule cong :premises (@p980) :args (@t1131)) % 0.37/0.89 (step @p982 :rule refl :args (@t644)) % 0.37/0.89 (step @p983 :rule refl :args (@t646)) % 0.37/0.89 (step @p984 :rule refl :args (@t649)) % 0.37/0.89 (step @p985 :rule nary_cong :premises (@p984 @p983 @p982 @p981 @p976 @p975) :args (@t1132)) % 0.37/0.89 (step @p986 :rule aci_norm :args ((= @t1135 @t1132))) % 0.37/0.89 (step @p987 :rule trans :premises (@p986 @p985)) % 0.37/0.89 (step @p988 :rule cong :premises (@p987) :args (@t1136)) % 0.37/0.89 (step @p989 :rule quant-merge-prenex :args ((= (forall @t375 @t1137) @t1136))) % 0.37/0.89 (step @p990 :rule refl :args (@t646)) % 0.37/0.89 (step @p991 :rule alpha_equiv :args (@t1138 (@list @t637) @t1139)) % 0.37/0.89 (step @p992 :rule alpha_equiv :args (@t1140 (@list @t641) @t1139)) % 0.37/0.89 (step @p993 :rule refl :args (@t649)) % 0.37/0.89 (step @p994 :rule nary_cong :premises (@p993 @p992 @p991 @p990) :args (@t1141)) % 0.37/0.89 (step @p995 :rule quant-miniscope-or :args ((= @t1137 @t1141))) % 0.37/0.89 (step @p996 :rule trans :premises (@p995 @p994)) % 0.37/0.89 (step @p997 :rule symm :premises (@p996)) % 0.37/0.89 (step @p998 :rule cong :premises (@p997) :args ((forall @t375 (or @t649 @t669 @t663 @t646)))) % 0.37/0.89 (step @p999 :rule trans :premises (@p998 @p989)) % 0.37/0.89 (step @p1000 :rule trans :premises (@p999 @p988)) % 0.37/0.89 (step @p1001 :rule cong :premises (@p870) :args (@t1142)) % 0.37/0.89 (step @p1002 :rule cong :premises (@p358) :args (@t1143)) % 0.37/0.89 (step @p1003 :rule cong :premises (@p1002 @p1001) :args (@t1144)) % 0.37/0.89 (step @p1004 :rule refl :args (@t663)) % 0.37/0.89 (step @p1005 :rule refl :args (@t669)) % 0.37/0.89 (step @p1006 :rule nary_cong :premises (@p984 @p1005 @p1004 @p1003) :args (@t1145)) % 0.37/0.89 (step @p1007 :rule cong :premises (@p1006) :args ((forall @t375 @t1145))) % 0.37/0.89 (step @p1008 :rule trans :premises (@p1007 @p1000)) % 0.37/0.89 (step @p1009 :rule refl :args ((tptp.descr @t367))) % 0.37/0.89 (step @p1010 :rule cong :premises (@p879) :args (@t1142)) % 0.37/0.89 (step @p1011 :rule trans :premises (@p1010 @p1009)) % 0.37/0.89 (step @p1012 :rule refl :args (tptp.descr)) % 0.37/0.89 (step @p1013 :rule ho_cong :premises (@p1012 @p879)) % 0.37/0.89 (step @p1014 :rule cong :premises (@p1013 @p1011) :args ((= (_ tptp.descr @t1108) @t1142))) % 0.37/0.89 (step @p1015 :rule symm :premises (@p1014)) % 0.37/0.89 (step @p1016 :rule refl :args (@t400)) % 0.37/0.89 (step @p1017 :rule eq_resolve :premises (@p1016 @p1015)) % 0.37/0.89 (step @p1018 :rule ho_cong :premises (@p1012 @p892)) % 0.37/0.89 (step @p1019 :rule trans :premises (@p1018 @p1017)) % 0.37/0.89 (step @p1020 :rule refl :args ((tptp.descr @t145))) % 0.37/0.89 (step @p1021 :rule cong :premises (@p367) :args (@t1143)) % 0.37/0.89 (step @p1022 :rule trans :premises (@p1021 @p1020)) % 0.37/0.89 (step @p1023 :rule ho_cong :premises (@p1012 @p367)) % 0.37/0.89 (step @p1024 :rule cong :premises (@p1023 @p1022) :args ((= (_ tptp.descr @t1010) @t1143))) % 0.37/0.89 (step @p1025 :rule symm :premises (@p1024)) % 0.37/0.89 (step @p1026 :rule refl :args (@t146)) % 0.37/0.89 (step @p1027 :rule eq_resolve :premises (@p1026 @p1025)) % 0.37/0.89 (step @p1028 :rule ho_cong :premises (@p1012 @p394)) % 0.37/0.89 (step @p1029 :rule trans :premises (@p1028 @p1027)) % 0.37/0.89 (step @p1030 :rule cong :premises (@p1029 @p1019) :args (@t401)) % 0.37/0.89 (step @p1031 :rule refl :args (@t663)) % 0.37/0.89 (step @p1032 :rule refl :args (@t669)) % 0.37/0.89 (step @p1033 :rule nary_cong :premises (@p993 @p1032 @p1031 @p1030) :args (@t1146)) % 0.37/0.89 (step @p1034 :rule cong :premises (@p1033) :args ((forall @t375 @t1146))) % 0.37/0.89 (step @p1035 :rule trans :premises (@p1034 @p1008)) % 0.37/0.89 (step @p1036 :rule aci_norm :args ((= (or @t649 @t1147) @t1146))) % 0.37/0.89 (step @p1037 :rule aci_norm :args ((= (or @t669 (or @t663 @t401)) @t1147))) % 0.37/0.89 (step @p1038 :rule refl :args (@t401)) % 0.37/0.89 (step @p1039 :rule bool-double-not-elim :args (@t663)) % 0.37/0.89 (step @p1040 :rule nary_cong :premises (@p1039 @p1038) :args ((or (not @t664) @t401))) % 0.37/0.89 (step @p1041 :rule bool-impl-elim :args (@t664 @t401)) % 0.37/0.89 (step @p1042 :rule trans :premises (@p1041 @p1040)) % 0.37/0.89 (step @p1043 :rule nary_cong :premises (@p1032 @p1042) :args ((or @t669 @t1148))) % 0.37/0.89 (step @p1044 :rule trans :premises (@p1043 @p1037)) % 0.37/0.89 (step @p1045 :rule refl :args (@t1148)) % 0.37/0.89 (step @p1046 :rule bool-double-not-elim :args (@t669)) % 0.37/0.89 (step @p1047 :rule nary_cong :premises (@p1046 @p1045) :args ((or @t1149 @t1148))) % 0.37/0.89 (step @p1048 :rule bool-impl-elim :args (@t670 @t1148)) % 0.37/0.89 (step @p1049 :rule trans :premises (@p1048 @p1047)) % 0.37/0.89 (step @p1050 :rule trans :premises (@p1049 @p1044)) % 0.37/0.89 (step @p1051 :rule nary_cong :premises (@p993 @p1050) :args ((or @t649 @t1150))) % 0.37/0.89 (step @p1052 :rule trans :premises (@p1051 @p1036)) % 0.37/0.89 (step @p1053 :rule bool-impl-elim :args (@t648 @t1150)) % 0.37/0.89 (step @p1054 :rule trans :premises (@p1053 @p1052)) % 0.37/0.89 (step @p1055 :rule cong :premises (@p1054) :args ((forall @t375 (=> @t648 @t1150)))) % 0.37/0.89 (step @p1056 :rule trans :premises (@p1055 @p1035)) % 0.37/0.89 (step @p1057 :rule refl :args (@t401)) % 0.37/0.89 (step @p1058 :rule refl :args (@t661)) % 0.37/0.89 (step @p1059 :rule cong :premises (@p891) :args (@t1151)) % 0.37/0.89 (step @p1060 :rule nary_cong :premises (@p1059 @p1058) :args (@t1152)) % 0.37/0.89 (step @p1061 :rule cong :premises (@p1060) :args ((forall @t9 @t1152))) % 0.37/0.89 (step @p1062 :rule refl :args (@t129)) % 0.37/0.89 (step @p1063 :rule cong :premises (@p936) :args (@t1153)) % 0.37/0.89 (step @p1064 :rule nary_cong :premises (@p1063 @p1062) :args (@t1154)) % 0.37/0.89 (step @p1065 :rule cong :premises (@p1064) :args ((forall @t70 @t1154))) % 0.37/0.89 (step @p1066 :rule refl :args (@t129)) % 0.37/0.89 (step @p1067 :rule beta-reduce :args ((= @t1155 @t370))) % 0.37/0.89 (step @p1068 :rule cong :premises (@p1067) :args (@t1156)) % 0.37/0.89 (step @p1069 :rule nary_cong :premises (@p1068 @p1066) :args (@t1157)) % 0.37/0.89 (step @p1070 :rule cong :premises (@p1069) :args (@t1158)) % 0.37/0.89 (step @p1071 :rule trans :premises (@p1070 @p1065)) % 0.37/0.89 (step @p1072 :rule cong :premises (@p1071) :args (@t1159)) % 0.37/0.89 (step @p1073 :rule beta-reduce :args ((= @t1160 @t366))) % 0.37/0.89 (step @p1074 :rule cong :premises (@p1073) :args (@t1161)) % 0.37/0.89 (step @p1075 :rule nary_cong :premises (@p1074 @p1072) :args (@t1162)) % 0.37/0.89 (step @p1076 :rule cong :premises (@p1075) :args (@t1163)) % 0.37/0.89 (step @p1077 :rule trans :premises (@p1076 @p1061)) % 0.37/0.89 (step @p1078 :rule cong :premises (@p1077) :args (@t1164)) % 0.37/0.89 (step @p1079 :rule beta-reduce :args ((= @t1166 @t1164))) % 0.37/0.89 (step @p1080 :rule trans :premises (@p1079 @p1078)) % 0.37/0.89 (step @p1081 :rule cong :premises (@p1080 @p1057) :args (@t1167)) % 0.37/0.89 (step @p1082 :rule refl :args (@t666)) % 0.37/0.89 (step @p1083 :rule cong :premises (@p393) :args (@t315)) % 0.37/0.89 (step @p1084 :rule nary_cong :premises (@p1083 @p1082) :args (@t1168)) % 0.37/0.89 (step @p1085 :rule cong :premises (@p1084) :args ((forall @t9 @t1168))) % 0.37/0.89 (step @p1086 :rule refl :args (@t642)) % 0.37/0.89 (step @p1087 :rule refl :args (@t153)) % 0.37/0.89 (step @p1088 :rule cong :premises (@p1087 @p1086) :args ((= @t153 @t642))) % 0.37/0.89 (step @p1089 :rule symm :premises (@p1088)) % 0.37/0.89 (step @p1090 :rule eq_resolve :premises (@p1087 @p1089)) % 0.37/0.89 (step @p1091 :rule cong :premises (@p1090) :args (@t1169)) % 0.37/0.89 (step @p1092 :rule nary_cong :premises (@p1091 @p1062) :args (@t1170)) % 0.37/0.89 (step @p1093 :rule cong :premises (@p1092) :args ((forall @t70 @t1170))) % 0.37/0.89 (step @p1094 :rule beta-reduce :args ((= @t1171 @t153))) % 0.37/0.89 (step @p1095 :rule cong :premises (@p1094) :args (@t1172)) % 0.37/0.89 (step @p1096 :rule nary_cong :premises (@p1095 @p1066) :args (@t1173)) % 0.37/0.89 (step @p1097 :rule cong :premises (@p1096) :args (@t1174)) % 0.37/0.89 (step @p1098 :rule trans :premises (@p1097 @p1093)) % 0.37/0.89 (step @p1099 :rule cong :premises (@p1098) :args (@t1175)) % 0.37/0.89 (step @p1100 :rule beta-reduce :args ((= @t1176 @t144))) % 0.37/0.89 (step @p1101 :rule cong :premises (@p1100) :args (@t1177)) % 0.37/0.89 (step @p1102 :rule nary_cong :premises (@p1101 @p1099) :args (@t1178)) % 0.37/0.89 (step @p1103 :rule cong :premises (@p1102) :args (@t1179)) % 0.37/0.89 (step @p1104 :rule trans :premises (@p1103 @p1085)) % 0.37/0.89 (step @p1105 :rule cong :premises (@p1104) :args (@t1180)) % 0.37/0.89 (step @p1106 :rule beta-reduce :args ((= @t1181 @t1180))) % 0.37/0.89 (step @p1107 :rule trans :premises (@p1106 @p1105)) % 0.37/0.89 (step @p1108 :rule cong :premises (@p1107 @p1081) :args (@t1182)) % 0.37/0.89 (step @p1109 :rule aci_norm :args ((= (or false @t647) @t647))) % 0.37/0.89 (step @p1110 :rule refl :args (@t647)) % 0.37/0.89 (step @p1111 :rule eq-refl :args (@t19)) % 0.37/0.89 (step @p1112 :rule cong :premises (@p1111) :args (@t1183)) % 0.37/0.89 (step @p1113 :rule trans :premises (@p1112 @p630)) % 0.37/0.89 (step @p1114 :rule nary_cong :premises (@p1113 @p1110) :args (@t1184)) % 0.37/0.89 (step @p1115 :rule trans :premises (@p1114 @p1109)) % 0.37/0.89 (step @p1116 :rule cong :premises (@p1115) :args ((forall @t70 @t1184))) % 0.37/0.89 (step @p1117 :rule quant-var-elim-eq :args ((= (forall @t9 @t1185) @t1184))) % 0.37/0.89 (step @p1118 :rule aci_norm :args ((= @t1186 @t1185))) % 0.37/0.89 (step @p1119 :rule cong :premises (@p1118) :args (@t1187)) % 0.37/0.89 (step @p1120 :rule trans :premises (@p1119 @p1117)) % 0.37/0.89 (step @p1121 :rule cong :premises (@p1120) :args (@t1188)) % 0.37/0.89 (step @p1122 :rule quant-merge-prenex :args ((= @t1188 @t1190))) % 0.37/0.89 (step @p1123 :rule symm :premises (@p1122)) % 0.37/0.89 (step @p1124 :rule quant_var_reordering :args ((= (forall @t135 @t1186) @t1190))) % 0.37/0.89 (step @p1125 :rule trans :premises (@p1124 @p1123 @p1121)) % 0.37/0.89 (step @p1126 :rule trans :premises (@p1125 @p1116)) % 0.37/0.89 (step @p1127 :rule nary_cong :premises (@p922 @p937) :args (@t1124)) % 0.37/0.89 (step @p1128 :rule cong :premises (@p1127) :args ((forall @t135 @t1124))) % 0.37/0.89 (step @p1129 :rule trans :premises (@p1128 @p1126)) % 0.37/0.89 (step @p1130 :rule cong :premises (@p948) :args (@t373)) % 0.37/0.89 (step @p1131 :rule trans :premises (@p1130 @p1129)) % 0.37/0.89 (step @p1132 :rule cong :premises (@p1131 @p1108) :args (@t1191)) % 0.37/0.89 (step @p1133 :rule cong :premises (@p1132) :args (@t1192)) % 0.37/0.89 (step @p1134 :rule trans :premises (@p1133 @p1056)) % 0.37/0.89 (step @p1135 :rule refl :args (tptp.descr__Cong)) % 0.37/0.89 (step @p1136 :rule cong :premises (@p1135 @p1134) :args ((= tptp.descr__Cong @t1192))) % 0.37/0.89 (step @p1137 :rule refl :args (@t367)) % 0.37/0.89 (step @p1138 :rule bool-and-de-morgan :args (@t144 @t665 true)) % 0.37/0.89 (step @p1139 :rule cong :premises (@p1138) :args (@t1194)) % 0.37/0.89 (step @p1140 :rule trans :premises (@p1139 @p1085)) % 0.37/0.89 (step @p1141 :rule cong :premises (@p1140) :args (@t1195)) % 0.37/0.89 (step @p1142 :rule exists-elim :args ((= (exists @t9 @t1193) @t1195))) % 0.37/0.89 (step @p1143 :rule trans :premises (@p1142 @p1141)) % 0.37/0.89 (step @p1144 :rule bool-impl-elim :args (@t153 @t129)) % 0.37/0.89 (step @p1145 :rule cong :premises (@p1144) :args (@t167)) % 0.37/0.89 (step @p1146 :rule trans :premises (@p1145 @p1093)) % 0.37/0.89 (step @p1147 :rule refl :args (@t144)) % 0.37/0.89 (step @p1148 :rule nary_cong :premises (@p1147 @p1146) :args (@t168)) % 0.37/0.89 (step @p1149 :rule cong :premises (@p1148) :args (@t169)) % 0.37/0.89 (step @p1150 :rule trans :premises (@p1149 @p1143)) % 0.37/0.89 (step @p1151 :rule cong :premises (@p1150) :args (@t588)) % 0.37/0.89 (step @p1152 :rule trans :premises (@p100 @p1151)) % 0.37/0.89 (step @p1153 :rule ho_cong :premises (@p1152 @p1137)) % 0.37/0.89 (step @p1154 :rule cong :premises (@p1153 @p1057) :args (@t402)) % 0.37/0.89 (step @p1155 :rule refl :args (@t145)) % 0.37/0.89 (step @p1156 :rule ho_cong :premises (@p1152 @p1155)) % 0.37/0.89 (step @p1157 :rule cong :premises (@p1156 @p1154) :args (@t403)) % 0.37/0.89 (step @p1158 :rule refl :args (@t373)) % 0.37/0.89 (step @p1159 :rule cong :premises (@p1158 @p1157) :args (@t404)) % 0.37/0.89 (step @p1160 :rule cong :premises (@p1159) :args (@t405)) % 0.37/0.89 (step @p1161 :rule cong :premises (@p1135 @p1160) :args (@t406)) % 0.37/0.89 (step @p1162 :rule trans :premises (@p1161 @p1136)) % 0.37/0.89 (step @p1163 :rule eq_resolve :premises (@p74 @p1162)) % 0.37/0.89 (step @p1164 :rule cong :premises (@p1163 @p970) :args (@t1196)) % 0.37/0.89 (step @p1165 :rule refl :args (@t654)) % 0.37/0.89 (step @p1166 :rule refl :args (@t655)) % 0.37/0.89 (step @p1167 :rule refl :args (@t656)) % 0.37/0.89 (step @p1168 :rule eq-symm :args (@t657 @t19)) % 0.37/0.89 (step @p1169 :rule nary_cong :premises (@p978 @p1168) :args (@t1197)) % 0.37/0.89 (step @p1170 :rule cong :premises (@p1169) :args (@t1198)) % 0.37/0.89 (step @p1171 :rule cong :premises (@p1170) :args (@t1199)) % 0.37/0.89 (step @p1172 :rule refl :args (@t658)) % 0.37/0.89 (step @p1173 :rule nary_cong :premises (@p1172 @p1171 @p1167 @p1166 @p1165) :args (@t1200)) % 0.37/0.89 (step @p1174 :rule aci_norm :args ((= @t1203 @t1200))) % 0.37/0.89 (step @p1175 :rule trans :premises (@p1174 @p1173)) % 0.37/0.89 (step @p1176 :rule cong :premises (@p1175) :args (@t1204)) % 0.37/0.89 (step @p1177 :rule quant-merge-prenex :args ((= (forall @t150 @t1205) @t1204))) % 0.37/0.89 (step @p1178 :rule alpha_equiv :args (@t1206 (@list @t653 @t652) (@list @t4 @t19))) % 0.37/0.89 (step @p1179 :rule alpha_equiv :args (@t1207 (@list @t657) @t1139)) % 0.37/0.89 (step @p1180 :rule nary_cong :premises (@p1179 @p1178) :args (@t1208)) % 0.37/0.89 (step @p1181 :rule quant-miniscope-or :args ((= @t1205 @t1208))) % 0.37/0.89 (step @p1182 :rule trans :premises (@p1181 @p1180)) % 0.37/0.89 (step @p1183 :rule symm :premises (@p1182)) % 0.37/0.89 (step @p1184 :rule cong :premises (@p1183) :args ((forall @t150 (or @t669 @t676)))) % 0.37/0.89 (step @p1185 :rule trans :premises (@p1184 @p1177)) % 0.37/0.89 (step @p1186 :rule trans :premises (@p1185 @p1176)) % 0.37/0.89 (step @p1187 :rule refl :args (@t676)) % 0.37/0.89 (step @p1188 :rule nary_cong :premises (@p1046 @p1187) :args ((or @t1149 @t676))) % 0.37/0.89 (step @p1189 :rule bool-impl-elim :args (@t670 @t676)) % 0.37/0.89 (step @p1190 :rule trans :premises (@p1189 @p1188)) % 0.37/0.89 (step @p1191 :rule cong :premises (@p1190) :args ((forall @t150 (=> @t670 @t676)))) % 0.37/0.89 (step @p1192 :rule trans :premises (@p1191 @p1186)) % 0.37/0.89 (step @p1193 :rule nary_cong :premises (@p1083 @p1091 @p1062) :args (@t1209)) % 0.37/0.89 (step @p1194 :rule cong :premises (@p1193) :args ((forall @t135 @t1209))) % 0.37/0.89 (step @p1195 :rule aci_norm :args ((= (or @t315 @t1170) @t1209))) % 0.37/0.89 (step @p1196 :rule refl :args (@t315)) % 0.37/0.89 (step @p1197 :rule nary_cong :premises (@p1196 @p1144) :args ((or @t315 @t166))) % 0.37/0.89 (step @p1198 :rule trans :premises (@p1197 @p1195)) % 0.37/0.89 (step @p1199 :rule bool-impl-elim :args (@t144 @t166)) % 0.37/0.89 (step @p1200 :rule trans :premises (@p1199 @p1198)) % 0.37/0.89 (step @p1201 :rule cong :premises (@p1200) :args (@t343)) % 0.37/0.89 (step @p1202 :rule trans :premises (@p1201 @p1194)) % 0.37/0.89 (step @p1203 :rule cong :premises (@p1107 @p1202) :args (@t1210)) % 0.37/0.89 (step @p1204 :rule cong :premises (@p1203) :args (@t1211)) % 0.37/0.89 (step @p1205 :rule trans :premises (@p1204 @p1192)) % 0.37/0.89 (step @p1206 :rule refl :args (tptp.exuEu)) % 0.37/0.89 (step @p1207 :rule cong :premises (@p1206 @p1205) :args ((= tptp.exuEu @t1211))) % 0.37/0.89 (step @p1208 :rule refl :args (@t343)) % 0.37/0.89 (step @p1209 :rule cong :premises (@p1156 @p1208) :args (@t362)) % 0.37/0.89 (step @p1210 :rule cong :premises (@p1209) :args (@t363)) % 0.37/0.89 (step @p1211 :rule cong :premises (@p1206 @p1210) :args (@t399)) % 0.37/0.89 (step @p1212 :rule trans :premises (@p1211 @p1207)) % 0.37/0.89 (step @p1213 :rule eq_resolve :premises (@p73 @p1212)) % 0.37/0.89 (step @p1214 :rule cong :premises (@p1213 @p1164) :args (@t1212)) % 0.37/0.89 (step @p1215 :rule bool-eq-true :args (tptp.omega__Cong)) % 0.37/0.89 (step @p1216 :rule symm :premises (@p1215)) % 0.37/0.89 (step @p1217 :rule eq-refl :args (tptp.omega)) % 0.37/0.89 (step @p1218 :rule refl :args (tptp.omega__Cong)) % 0.37/0.89 (step @p1219 :rule cong :premises (@p1218 @p1217) :args (@t398)) % 0.37/0.89 (step @p1220 :rule trans :premises (@p1219 @p1215)) % 0.37/0.89 (step @p1221 :rule eq_resolve :premises (@p72 @p1220)) % 0.37/0.89 (step @p1222 :rule eq_resolve :premises (@p1221 @p1216)) % 0.37/0.89 (step @p1223 :rule cong :premises (@p1222 @p1214) :args (@t1213)) % 0.37/0.89 (step @p1224 :rule bool-eq-true :args (tptp.setunion__Cong)) % 0.37/0.89 (step @p1225 :rule symm :premises (@p1224)) % 0.37/0.89 (step @p1226 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 0.37/0.89 (step @p1227 :rule evaluate :args ((or false true))) % 0.37/0.89 (step @p1228 :rule eq-refl :args (@t1214)) % 0.37/0.89 (step @p1229 :rule nary_cong :premises (@p633 @p1228) :args (@t1215)) % 0.37/0.89 (step @p1230 :rule trans :premises (@p1229 @p1227)) % 0.37/0.89 (step @p1231 :rule cong :premises (@p1230) :args ((forall @t41 @t1215))) % 0.37/0.89 (step @p1232 :rule trans :premises (@p1231 @p1226)) % 0.37/0.89 (step @p1233 :rule quant-var-elim-eq :args ((= (forall @t64 @t1217) @t1215))) % 0.37/0.89 (step @p1234 :rule aci_norm :args ((= @t1218 @t1217))) % 0.37/0.89 (step @p1235 :rule cong :premises (@p1234) :args (@t1219)) % 0.37/0.89 (step @p1236 :rule trans :premises (@p1235 @p1233)) % 0.37/0.89 (step @p1237 :rule cong :premises (@p1236) :args (@t1220)) % 0.37/0.89 (step @p1238 :rule quant-merge-prenex :args ((= @t1220 @t1221))) % 0.37/0.89 (step @p1239 :rule symm :premises (@p1238)) % 0.37/0.89 (step @p1240 :rule quant_var_reordering :args ((= (forall @t12 @t1218) @t1221))) % 0.37/0.89 (step @p1241 :rule trans :premises (@p1240 @p1239 @p1237)) % 0.37/0.89 (step @p1242 :rule trans :premises (@p1241 @p1232)) % 0.37/0.89 (step @p1243 :rule refl :args (@t1214)) % 0.37/0.89 (step @p1244 :rule refl :args (@t394)) % 0.37/0.89 (step @p1245 :rule cong :premises (@p1244 @p1243) :args ((= @t394 @t1214))) % 0.37/0.89 (step @p1246 :rule symm :premises (@p1245)) % 0.37/0.89 (step @p1247 :rule eq_resolve :premises (@p1244 @p1246)) % 0.37/0.89 (step @p1248 :rule refl :args (@t738)) % 0.37/0.89 (step @p1249 :rule refl :args (@t43)) % 0.37/0.89 (step @p1250 :rule cong :premises (@p1249 @p1248) :args ((= @t43 @t738))) % 0.37/0.89 (step @p1251 :rule symm :premises (@p1250)) % 0.37/0.89 (step @p1252 :rule eq_resolve :premises (@p1249 @p1251)) % 0.37/0.89 (step @p1253 :rule cong :premises (@p1252 @p1247) :args (@t395)) % 0.37/0.89 (step @p1254 :rule nary_cong :premises (@p650 @p1253) :args (@t1222)) % 0.37/0.89 (step @p1255 :rule cong :premises (@p1254) :args ((forall @t12 @t1222))) % 0.37/0.89 (step @p1256 :rule trans :premises (@p1255 @p1242)) % 0.37/0.89 (step @p1257 :rule bool-impl-elim :args (@t3 @t395)) % 0.37/0.89 (step @p1258 :rule cong :premises (@p1257) :args (@t396)) % 0.37/0.89 (step @p1259 :rule trans :premises (@p1258 @p1256)) % 0.37/0.89 (step @p1260 :rule refl :args (tptp.setunion__Cong)) % 0.37/0.89 (step @p1261 :rule cong :premises (@p1260 @p1259) :args (@t397)) % 0.37/0.89 (step @p1262 :rule trans :premises (@p1261 @p1224)) % 0.37/0.89 (step @p1263 :rule eq_resolve :premises (@p71 @p1262)) % 0.37/0.89 (step @p1264 :rule eq_resolve :premises (@p1263 @p1225)) % 0.37/0.89 (step @p1265 :rule cong :premises (@p1264 @p1223) :args (@t1223)) % 0.37/0.89 (step @p1266 :rule bool-eq-true :args (tptp.powerset__Cong)) % 0.37/0.89 (step @p1267 :rule symm :premises (@p1266)) % 0.37/0.89 (step @p1268 :rule eq-refl :args (@t593)) % 0.37/0.89 (step @p1269 :rule nary_cong :premises (@p633 @p1268) :args (@t1224)) % 0.37/0.89 (step @p1270 :rule trans :premises (@p1269 @p1227)) % 0.37/0.89 (step @p1271 :rule cong :premises (@p1270) :args ((forall @t41 @t1224))) % 0.37/0.89 (step @p1272 :rule trans :premises (@p1271 @p1226)) % 0.37/0.89 (step @p1273 :rule quant-var-elim-eq :args ((= (forall @t64 @t1226) @t1224))) % 0.37/0.89 (step @p1274 :rule aci_norm :args ((= @t1227 @t1226))) % 0.37/0.89 (step @p1275 :rule cong :premises (@p1274) :args (@t1228)) % 0.37/0.89 (step @p1276 :rule trans :premises (@p1275 @p1273)) % 0.37/0.89 (step @p1277 :rule cong :premises (@p1276) :args (@t1229)) % 0.37/0.89 (step @p1278 :rule quant-merge-prenex :args ((= @t1229 @t1230))) % 0.37/0.89 (step @p1279 :rule symm :premises (@p1278)) % 0.37/0.89 (step @p1280 :rule quant_var_reordering :args ((= (forall @t12 @t1227) @t1230))) % 0.37/0.89 (step @p1281 :rule trans :premises (@p1280 @p1279 @p1277)) % 0.37/0.89 (step @p1282 :rule trans :premises (@p1281 @p1272)) % 0.37/0.89 (step @p1283 :rule cong :premises (@p383 @p420) :args (@t391)) % 0.37/0.89 (step @p1284 :rule nary_cong :premises (@p650 @p1283) :args (@t1231)) % 0.37/0.89 (step @p1285 :rule cong :premises (@p1284) :args ((forall @t12 @t1231))) % 0.37/0.89 (step @p1286 :rule trans :premises (@p1285 @p1282)) % 0.37/0.89 (step @p1287 :rule bool-impl-elim :args (@t3 @t391)) % 0.37/0.89 (step @p1288 :rule cong :premises (@p1287) :args (@t392)) % 0.37/0.89 (step @p1289 :rule trans :premises (@p1288 @p1286)) % 0.37/0.89 (step @p1290 :rule refl :args (tptp.powerset__Cong)) % 0.37/0.89 (step @p1291 :rule cong :premises (@p1290 @p1289) :args (@t393)) % 0.37/0.89 (step @p1292 :rule trans :premises (@p1291 @p1266)) % 0.37/0.89 (step @p1293 :rule eq_resolve :premises (@p70 @p1292)) % 0.37/0.89 (step @p1294 :rule eq_resolve :premises (@p1293 @p1267)) % 0.37/0.89 (step @p1295 :rule cong :premises (@p1294 @p1265) :args (@t1232)) % 0.37/0.89 (step @p1296 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 0.37/0.89 (step @p1297 :rule symm :premises (@p1296)) % 0.37/0.89 (step @p1298 :rule quant-unused-vars :args ((= (forall @t1234 true) true))) % 0.37/0.89 (step @p1299 :rule eq-refl :args (@t1235)) % 0.37/0.89 (step @p1300 :rule nary_cong :premises (@p1113 @p1299) :args (@t1236)) % 0.37/0.89 (step @p1301 :rule trans :premises (@p1300 @p1227)) % 0.37/0.89 (step @p1302 :rule cong :premises (@p1301) :args ((forall @t1234 @t1236))) % 0.37/0.89 (step @p1303 :rule trans :premises (@p1302 @p1298)) % 0.37/0.89 (step @p1304 :rule quant-var-elim-eq :args ((= (forall @t9 @t1238) @t1236))) % 0.37/0.89 (step @p1305 :rule aci_norm :args ((= @t1239 @t1238))) % 0.37/0.89 (step @p1306 :rule cong :premises (@p1305) :args (@t1240)) % 0.37/0.89 (step @p1307 :rule trans :premises (@p1306 @p1304)) % 0.37/0.89 (step @p1308 :rule cong :premises (@p1307) :args (@t1241)) % 0.37/0.89 (step @p1309 :rule quant-merge-prenex :args ((= @t1241 @t1242))) % 0.37/0.89 (step @p1310 :rule symm :premises (@p1309)) % 0.37/0.89 (step @p1311 :rule quant_var_reordering :args ((= @t1243 @t1242))) % 0.37/0.89 (step @p1312 :rule trans :premises (@p1311 @p1310 @p1308)) % 0.37/0.89 (step @p1313 :rule trans :premises (@p1312 @p1303)) % 0.37/0.89 (step @p1314 :rule quant-merge-prenex :args ((= (forall @t135 @t1245) @t1243))) % 0.37/0.89 (step @p1315 :rule alpha_equiv :args (@t1246 (@list @t1233) (@list @t380))) % 0.37/0.89 (step @p1316 :rule nary_cong :premises (@p922 @p1315) :args (@t1247)) % 0.37/0.89 (step @p1317 :rule quant-miniscope-or :args ((= @t1245 @t1247))) % 0.37/0.89 (step @p1318 :rule trans :premises (@p1317 @p1316)) % 0.37/0.89 (step @p1319 :rule symm :premises (@p1318)) % 0.37/0.89 (step @p1320 :rule cong :premises (@p1319) :args ((forall @t135 (or @t282 @t1252)))) % 0.37/0.89 (step @p1321 :rule trans :premises (@p1320 @p1314)) % 0.37/0.89 (step @p1322 :rule trans :premises (@p1321 @p1313)) % 0.37/0.89 (step @p1323 :rule bool-impl-elim :args (@t129 @t1252)) % 0.37/0.89 (step @p1324 :rule cong :premises (@p1323) :args ((forall @t135 (=> @t129 @t1252)))) % 0.37/0.89 (step @p1325 :rule trans :premises (@p1324 @p1322)) % 0.37/0.89 (step @p1326 :rule aci_norm :args ((= (or false @t1250) @t1250))) % 0.37/0.89 (step @p1327 :rule eq-symm :args (@t1248 @t1249)) % 0.37/0.89 (step @p1328 :rule eq-refl :args (@t380)) % 0.37/0.89 (step @p1329 :rule cong :premises (@p1328) :args (@t1253)) % 0.37/0.89 (step @p1330 :rule trans :premises (@p1329 @p630)) % 0.37/0.89 (step @p1331 :rule nary_cong :premises (@p1330 @p1327) :args (@t1254)) % 0.37/0.89 (step @p1332 :rule trans :premises (@p1331 @p1326)) % 0.37/0.89 (step @p1333 :rule cong :premises (@p1332) :args ((forall @t1251 @t1254))) % 0.37/0.89 (step @p1334 :rule quant-var-elim-eq :args ((= (forall @t1259 @t1258) @t1254))) % 0.37/0.89 (step @p1335 :rule aci_norm :args ((= @t1260 @t1258))) % 0.37/0.89 (step @p1336 :rule cong :premises (@p1335) :args (@t1261)) % 0.37/0.89 (step @p1337 :rule trans :premises (@p1336 @p1334)) % 0.37/0.89 (step @p1338 :rule cong :premises (@p1337) :args (@t1262)) % 0.37/0.89 (step @p1339 :rule quant-merge-prenex :args ((= @t1262 @t1263))) % 0.37/0.89 (step @p1340 :rule symm :premises (@p1339)) % 0.37/0.89 (step @p1341 :rule quant_var_reordering :args ((= (forall @t385 @t1260) @t1263))) % 0.37/0.89 (step @p1342 :rule trans :premises (@p1341 @p1340 @p1338)) % 0.37/0.89 (step @p1343 :rule trans :premises (@p1342 @p1333)) % 0.37/0.89 (step @p1344 :rule refl :args (@t1249)) % 0.37/0.89 (step @p1345 :rule refl :args (@t381)) % 0.37/0.89 (step @p1346 :rule cong :premises (@p1345 @p1344) :args ((= @t381 @t1249))) % 0.37/0.89 (step @p1347 :rule symm :premises (@p1346)) % 0.37/0.89 (step @p1348 :rule eq_resolve :premises (@p1345 @p1347)) % 0.37/0.89 (step @p1349 :rule refl :args (@t1255)) % 0.37/0.89 (step @p1350 :rule refl :args (@t382)) % 0.37/0.89 (step @p1351 :rule cong :premises (@p1350 @p1349) :args ((= @t382 @t1255))) % 0.37/0.89 (step @p1352 :rule symm :premises (@p1351)) % 0.37/0.89 (step @p1353 :rule eq_resolve :premises (@p1350 @p1352)) % 0.37/0.89 (step @p1354 :rule cong :premises (@p1353 @p1348) :args (@t383)) % 0.37/0.89 (step @p1355 :rule refl :args (@t1257)) % 0.37/0.89 (step @p1356 :rule nary_cong :premises (@p1355 @p1354) :args (@t1264)) % 0.37/0.89 (step @p1357 :rule cong :premises (@p1356) :args ((forall @t385 @t1264))) % 0.37/0.89 (step @p1358 :rule trans :premises (@p1357 @p1343)) % 0.37/0.89 (step @p1359 :rule bool-impl-elim :args (@t384 @t383)) % 0.37/0.89 (step @p1360 :rule cong :premises (@p1359) :args (@t386)) % 0.37/0.89 (step @p1361 :rule trans :premises (@p1360 @p1358)) % 0.37/0.89 (step @p1362 :rule cong :premises (@p1066 @p1361) :args (@t387)) % 0.37/0.89 (step @p1363 :rule cong :premises (@p1362) :args (@t388)) % 0.37/0.89 (step @p1364 :rule trans :premises (@p1363 @p1325)) % 0.37/0.89 (step @p1365 :rule refl :args (tptp.setadjoin__Cong)) % 0.37/0.89 (step @p1366 :rule cong :premises (@p1365 @p1364) :args (@t389)) % 0.37/0.89 (step @p1367 :rule trans :premises (@p1366 @p1296)) % 0.37/0.89 (step @p1368 :rule eq_resolve :premises (@p69 @p1367)) % 0.37/0.89 (step @p1369 :rule eq_resolve :premises (@p1368 @p1297)) % 0.37/0.89 (step @p1370 :rule cong :premises (@p1369 @p1295) :args (@t1265)) % 0.37/0.89 (step @p1371 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 0.37/0.89 (step @p1372 :rule symm :premises (@p1371)) % 0.37/0.89 (step @p1373 :rule eq-refl :args (tptp.emptyset)) % 0.37/0.89 (step @p1374 :rule refl :args (tptp.emptyset__Cong)) % 0.37/0.89 (step @p1375 :rule cong :premises (@p1374 @p1373) :args (@t379)) % 0.37/0.89 (step @p1376 :rule trans :premises (@p1375 @p1371)) % 0.37/0.89 (step @p1377 :rule eq_resolve :premises (@p68 @p1376)) % 0.37/0.89 (step @p1378 :rule eq_resolve :premises (@p1377 @p1372)) % 0.37/0.89 (step @p1379 :rule cong :premises (@p1378 @p1370) :args (@t1266)) % 0.37/0.89 (step @p1380 :rule bool-impl-elim :args (@t648 @t671)) % 0.37/0.89 (step @p1381 :rule cong :premises (@p1380) :args ((forall @t375 (=> @t648 @t671)))) % 0.37/0.89 (step @p1382 :rule cong :premises (@p1107 @p1080) :args (@t1267)) % 0.37/0.89 (step @p1383 :rule cong :premises (@p1131 @p1382) :args (@t1268)) % 0.37/0.89 (step @p1384 :rule cong :premises (@p1383) :args (@t1269)) % 0.37/0.89 (step @p1385 :rule trans :premises (@p1384 @p1381)) % 0.37/0.89 (step @p1386 :rule refl :args (tptp.exu__Cong)) % 0.37/0.89 (step @p1387 :rule cong :premises (@p1386 @p1385) :args ((= tptp.exu__Cong @t1269))) % 0.37/0.89 (step @p1388 :rule cong :premises (@p1156 @p1153) :args (@t369)) % 0.37/0.89 (step @p1389 :rule cong :premises (@p1158 @p1388) :args (@t374)) % 0.37/0.89 (step @p1390 :rule cong :premises (@p1389) :args (@t376)) % 0.37/0.89 (step @p1391 :rule cong :premises (@p1386 @p1390) :args (@t377)) % 0.37/0.89 (step @p1392 :rule trans :premises (@p1391 @p1387)) % 0.37/0.89 (step @p1393 :rule eq_resolve :premises (@p67 @p1392)) % 0.37/0.89 (step @p1394 :rule cong :premises (@p1393 @p1379) :args (@t1270)) % 0.37/0.89 (step @p1395 :rule refl :args (tptp.exuE3u)) % 0.37/0.89 (step @p1396 :rule cong :premises (@p1395 @p1205) :args ((= tptp.exuE3u @t1211))) % 0.37/0.89 (step @p1397 :rule cong :premises (@p1395 @p1210) :args (@t364)) % 0.37/0.89 (step @p1398 :rule trans :premises (@p1397 @p1396)) % 0.37/0.89 (step @p1399 :rule eq_resolve :premises (@p66 @p1398)) % 0.37/0.89 (step @p1400 :rule cong :premises (@p1399 @p1394) :args (@t1271)) % 0.37/0.89 (step @p1401 :rule bool-eq-true :args (tptp.in__Cong)) % 0.37/0.89 (step @p1402 :rule symm :premises (@p1401)) % 0.37/0.89 (step @p1403 :rule quant-unused-vars :args ((= (forall @t1273 true) true))) % 0.37/0.89 (step @p1404 :rule eq-refl :args (@t1274)) % 0.37/0.89 (step @p1405 :rule nary_cong :premises (@p633 @p1404) :args (@t1275)) % 0.37/0.89 (step @p1406 :rule trans :premises (@p1405 @p1227)) % 0.37/0.89 (step @p1407 :rule cong :premises (@p1406) :args ((forall @t1273 @t1275))) % 0.37/0.89 (step @p1408 :rule trans :premises (@p1407 @p1403)) % 0.37/0.89 (step @p1409 :rule quant-var-elim-eq :args ((= (forall @t64 @t1277) @t1275))) % 0.37/0.89 (step @p1410 :rule aci_norm :args ((= @t1278 @t1277))) % 0.37/0.89 (step @p1411 :rule cong :premises (@p1410) :args (@t1279)) % 0.37/0.89 (step @p1412 :rule trans :premises (@p1411 @p1409)) % 0.37/0.89 (step @p1413 :rule cong :premises (@p1412) :args (@t1280)) % 0.37/0.89 (step @p1414 :rule quant-merge-prenex :args ((= @t1280 @t1281))) % 0.37/0.89 (step @p1415 :rule symm :premises (@p1414)) % 0.37/0.89 (step @p1416 :rule quant_var_reordering :args ((= @t1282 @t1281))) % 0.37/0.89 (step @p1417 :rule trans :premises (@p1416 @p1415 @p1413)) % 0.37/0.89 (step @p1418 :rule trans :premises (@p1417 @p1408)) % 0.37/0.89 (step @p1419 :rule quant-merge-prenex :args ((= (forall @t12 @t1284) @t1282))) % 0.37/0.89 (step @p1420 :rule alpha_equiv :args (@t1285 (@list @t1272) @t1286)) % 0.37/0.89 (step @p1421 :rule nary_cong :premises (@p650 @p1420) :args (@t1287)) % 0.37/0.89 (step @p1422 :rule quant-miniscope-or :args ((= @t1284 @t1287))) % 0.37/0.89 (step @p1423 :rule trans :premises (@p1422 @p1421)) % 0.37/0.89 (step @p1424 :rule symm :premises (@p1423)) % 0.37/0.89 (step @p1425 :rule cong :premises (@p1424) :args ((forall @t12 (or @t442 @t1289)))) % 0.37/0.89 (step @p1426 :rule trans :premises (@p1425 @p1419)) % 0.37/0.89 (step @p1427 :rule trans :premises (@p1426 @p1418)) % 0.37/0.89 (step @p1428 :rule bool-impl-elim :args (@t3 @t1289)) % 0.37/0.89 (step @p1429 :rule cong :premises (@p1428) :args ((forall @t12 (=> @t3 @t1289)))) % 0.37/0.89 (step @p1430 :rule trans :premises (@p1429 @p1427)) % 0.37/0.89 (step @p1431 :rule aci_norm :args ((= (or false @t1288) @t1288))) % 0.37/0.89 (step @p1432 :rule refl :args (@t1288)) % 0.37/0.89 (step @p1433 :rule nary_cong :premises (@p1113 @p1432) :args (@t1290)) % 0.37/0.89 (step @p1434 :rule trans :premises (@p1433 @p1431)) % 0.37/0.89 (step @p1435 :rule cong :premises (@p1434) :args ((forall @t70 @t1290))) % 0.37/0.89 (step @p1436 :rule quant-var-elim-eq :args ((= (forall @t9 @t1292) @t1290))) % 0.37/0.89 (step @p1437 :rule aci_norm :args ((= @t1293 @t1292))) % 0.37/0.89 (step @p1438 :rule cong :premises (@p1437) :args (@t1294)) % 0.37/0.89 (step @p1439 :rule trans :premises (@p1438 @p1436)) % 0.37/0.89 (step @p1440 :rule cong :premises (@p1439) :args (@t1295)) % 0.37/0.89 (step @p1441 :rule quant-merge-prenex :args ((= @t1295 @t1296))) % 0.37/0.89 (step @p1442 :rule symm :premises (@p1441)) % 0.37/0.89 (step @p1443 :rule quant_var_reordering :args ((= (forall @t135 @t1293) @t1296))) % 0.37/0.89 (step @p1444 :rule trans :premises (@p1443 @p1442 @p1440)) % 0.37/0.89 (step @p1445 :rule trans :premises (@p1444 @p1435)) % 0.37/0.89 (step @p1446 :rule cong :premises (@p660 @p942) :args (@t357)) % 0.37/0.89 (step @p1447 :rule nary_cong :premises (@p922 @p1446) :args (@t1297)) % 0.37/0.89 (step @p1448 :rule cong :premises (@p1447) :args ((forall @t135 @t1297))) % 0.37/0.89 (step @p1449 :rule trans :premises (@p1448 @p1445)) % 0.37/0.89 (step @p1450 :rule bool-impl-elim :args (@t129 @t357)) % 0.37/0.89 (step @p1451 :rule cong :premises (@p1450) :args (@t358)) % 0.37/0.89 (step @p1452 :rule trans :premises (@p1451 @p1449)) % 0.37/0.89 (step @p1453 :rule cong :premises (@p963 @p1452) :args (@t359)) % 0.37/0.89 (step @p1454 :rule cong :premises (@p1453) :args (@t360)) % 0.37/0.89 (step @p1455 :rule trans :premises (@p1454 @p1430)) % 0.37/0.89 (step @p1456 :rule refl :args (tptp.in__Cong)) % 0.37/0.89 (step @p1457 :rule cong :premises (@p1456 @p1455) :args (@t361)) % 0.37/0.89 (step @p1458 :rule trans :premises (@p1457 @p1401)) % 0.37/0.89 (step @p1459 :rule eq_resolve :premises (@p65 @p1458)) % 0.37/0.89 (step @p1460 :rule eq_resolve :premises (@p1459 @p1402)) % 0.37/0.89 (step @p1461 :rule cong :premises (@p1460 @p1400) :args (@t1298)) % 0.37/0.89 (step @p1462 :rule bool-eq-true :args (tptp.inCongP)) % 0.37/0.89 (step @p1463 :rule symm :premises (@p1462)) % 0.37/0.89 (step @p1464 :rule quant-unused-vars :args ((= (forall @t1300 true) true))) % 0.37/0.89 (step @p1465 :rule bool-or-taut2 :args (false @t1301 false false)) % 0.37/0.89 (step @p1466 :rule cong :premises (@p1465) :args ((forall @t1300 @t1303))) % 0.37/0.89 (step @p1467 :rule trans :premises (@p1466 @p1464)) % 0.37/0.89 (step @p1468 :rule aci_norm :args ((= (or false @t1302 @t1301) @t1303))) % 0.37/0.89 (step @p1469 :rule refl :args (@t1301)) % 0.37/0.89 (step @p1470 :rule refl :args (@t1302)) % 0.37/0.89 (step @p1471 :rule nary_cong :premises (@p633 @p1470 @p1469) :args (@t1304)) % 0.37/0.89 (step @p1472 :rule trans :premises (@p1471 @p1468)) % 0.37/0.89 (step @p1473 :rule cong :premises (@p1472) :args ((forall @t1300 @t1304))) % 0.37/0.89 (step @p1474 :rule trans :premises (@p1473 @p1467)) % 0.37/0.89 (step @p1475 :rule quant-var-elim-eq :args ((= (forall @t64 @t1306) @t1304))) % 0.37/0.89 (step @p1476 :rule aci_norm :args ((= @t1307 @t1306))) % 0.37/0.89 (step @p1477 :rule cong :premises (@p1476) :args (@t1308)) % 0.37/0.89 (step @p1478 :rule trans :premises (@p1477 @p1475)) % 0.37/0.89 (step @p1479 :rule cong :premises (@p1478) :args (@t1309)) % 0.37/0.89 (step @p1480 :rule quant-merge-prenex :args ((= @t1309 @t1310))) % 0.37/0.89 (step @p1481 :rule symm :premises (@p1480)) % 0.37/0.89 (step @p1482 :rule quant_var_reordering :args ((= (forall @t1311 @t1307) @t1310))) % 0.37/0.89 (step @p1483 :rule trans :premises (@p1482 @p1481 @p1479)) % 0.37/0.89 (step @p1484 :rule trans :premises (@p1483 @p1474)) % 0.37/0.89 (step @p1485 :rule aci_norm :args ((= @t1313 @t1307))) % 0.37/0.89 (step @p1486 :rule cong :premises (@p1485) :args (@t1314)) % 0.37/0.89 (step @p1487 :rule trans :premises (@p1486 @p1484)) % 0.37/0.89 (step @p1488 :rule quant-merge-prenex :args ((= (forall @t12 @t1316) @t1314))) % 0.37/0.89 (step @p1489 :rule alpha_equiv :args (@t1317 (@list @t1299) @t1286)) % 0.37/0.89 (step @p1490 :rule nary_cong :premises (@p650 @p1489) :args (@t1318)) % 0.37/0.89 (step @p1491 :rule quant-miniscope-or :args ((= @t1316 @t1318))) % 0.37/0.89 (step @p1492 :rule trans :premises (@p1491 @p1490)) % 0.37/0.89 (step @p1493 :rule symm :premises (@p1492)) % 0.37/0.89 (step @p1494 :rule cong :premises (@p1493) :args ((forall @t12 (or @t442 @t1320)))) % 0.37/0.89 (step @p1495 :rule trans :premises (@p1494 @p1488)) % 0.37/0.89 (step @p1496 :rule trans :premises (@p1495 @p1487)) % 0.37/0.89 (step @p1497 :rule bool-impl-elim :args (@t3 @t1320)) % 0.37/0.89 (step @p1498 :rule cong :premises (@p1497) :args ((forall @t12 (=> @t3 @t1320)))) % 0.37/0.89 (step @p1499 :rule trans :premises (@p1498 @p1496)) % 0.37/0.89 (step @p1500 :rule aci_norm :args ((= (or false @t772 @t1118) @t1319))) % 0.37/0.89 (step @p1501 :rule refl :args (@t1118)) % 0.37/0.89 (step @p1502 :rule refl :args (@t772)) % 0.37/0.89 (step @p1503 :rule nary_cong :premises (@p1113 @p1502 @p1501) :args (@t1321)) % 0.37/0.89 (step @p1504 :rule trans :premises (@p1503 @p1500)) % 0.37/0.89 (step @p1505 :rule cong :premises (@p1504) :args ((forall @t70 @t1321))) % 0.37/0.89 (step @p1506 :rule quant-var-elim-eq :args ((= (forall @t9 @t1322) @t1321))) % 0.37/0.89 (step @p1507 :rule aci_norm :args ((= @t1323 @t1322))) % 0.37/0.89 (step @p1508 :rule cong :premises (@p1507) :args (@t1324)) % 0.37/0.89 (step @p1509 :rule trans :premises (@p1508 @p1506)) % 0.37/0.89 (step @p1510 :rule cong :premises (@p1509) :args (@t1325)) % 0.37/0.89 (step @p1511 :rule quant-merge-prenex :args ((= @t1325 @t1326))) % 0.37/0.89 (step @p1512 :rule symm :premises (@p1511)) % 0.37/0.89 (step @p1513 :rule quant_var_reordering :args ((= (forall @t135 @t1323) @t1326))) % 0.37/0.89 (step @p1514 :rule trans :premises (@p1513 @p1512 @p1510)) % 0.37/0.89 (step @p1515 :rule trans :premises (@p1514 @p1505)) % 0.37/0.89 (step @p1516 :rule nary_cong :premises (@p922 @p661 @p942) :args (@t1327)) % 0.37/0.89 (step @p1517 :rule cong :premises (@p1516) :args ((forall @t135 @t1327))) % 0.37/0.89 (step @p1518 :rule trans :premises (@p1517 @p1515)) % 0.37/0.89 (step @p1519 :rule aci_norm :args ((= (or @t282 (or @t197 @t351)) @t1327))) % 0.37/0.89 (step @p1520 :rule bool-impl-elim :args (@t7 @t351)) % 0.37/0.89 (step @p1521 :rule nary_cong :premises (@p922 @p1520) :args ((or @t282 @t352))) % 0.37/0.89 (step @p1522 :rule trans :premises (@p1521 @p1519)) % 0.37/0.89 (step @p1523 :rule bool-impl-elim :args (@t129 @t352)) % 0.37/0.89 (step @p1524 :rule trans :premises (@p1523 @p1522)) % 0.37/0.89 (step @p1525 :rule cong :premises (@p1524) :args (@t353)) % 0.37/0.89 (step @p1526 :rule trans :premises (@p1525 @p1518)) % 0.37/0.89 (step @p1527 :rule cong :premises (@p963 @p1526) :args (@t354)) % 0.37/0.89 (step @p1528 :rule cong :premises (@p1527) :args (@t355)) % 0.37/0.89 (step @p1529 :rule trans :premises (@p1528 @p1499)) % 0.37/0.89 (step @p1530 :rule refl :args (tptp.inCongP)) % 0.37/0.89 (step @p1531 :rule cong :premises (@p1530 @p1529) :args (@t356)) % 0.37/0.89 (step @p1532 :rule trans :premises (@p1531 @p1462)) % 0.37/0.89 (step @p1533 :rule eq_resolve :premises (@p64 @p1532)) % 0.37/0.89 (step @p1534 :rule eq_resolve :premises (@p1533 @p1463)) % 0.37/0.89 (step @p1535 :rule cong :premises (@p1534 @p1461) :args (@t1328)) % 0.37/0.89 (step @p1536 :rule refl :args (@t670)) % 0.37/0.89 (step @p1537 :rule eq-symm :args (@t673 @t19)) % 0.37/0.89 (step @p1538 :rule refl :args (@t642)) % 0.37/0.89 (step @p1539 :rule cong :premises (@p1538 @p1537) :args ((= @t642 @t1329))) % 0.37/0.89 (step @p1540 :rule eq-symm :args (@t1329 @t642)) % 0.37/0.89 (step @p1541 :rule trans :premises (@p1540 @p1539)) % 0.37/0.89 (step @p1542 :rule cong :premises (@p1541) :args (@t1330)) % 0.37/0.89 (step @p1543 :rule cong :premises (@p1542) :args (@t1331)) % 0.37/0.89 (step @p1544 :rule nary_cong :premises (@p1543 @p1536) :args (@t1332)) % 0.37/0.89 (step @p1545 :rule cong :premises (@p1544) :args (@t1333)) % 0.37/0.89 (step @p1546 :rule quant-merge-prenex :args ((= (forall @t150 @t1335) @t1333))) % 0.37/0.89 (step @p1547 :rule refl :args (@t670)) % 0.37/0.89 (step @p1548 :rule alpha_equiv :args (@t1336 (@list @t673) @t1139)) % 0.37/0.89 (step @p1549 :rule nary_cong :premises (@p1548 @p1547) :args (@t1337)) % 0.37/0.89 (step @p1550 :rule quant-miniscope-or :args ((= @t1335 @t1337))) % 0.37/0.89 (step @p1551 :rule trans :premises (@p1550 @p1549)) % 0.37/0.89 (step @p1552 :rule symm :premises (@p1551)) % 0.37/0.89 (step @p1553 :rule cong :premises (@p1552) :args ((forall @t150 (or @t733 @t670)))) % 0.37/0.89 (step @p1554 :rule trans :premises (@p1553 @p1546)) % 0.37/0.89 (step @p1555 :rule trans :premises (@p1554 @p1545)) % 0.37/0.89 (step @p1556 :rule bool-double-not-elim :args (@t733)) % 0.37/0.89 (step @p1557 :rule nary_cong :premises (@p1556 @p1547) :args ((or (not @t734) @t670))) % 0.37/0.89 (step @p1558 :rule bool-impl-elim :args (@t734 @t670)) % 0.37/0.89 (step @p1559 :rule trans :premises (@p1558 @p1557)) % 0.37/0.89 (step @p1560 :rule cong :premises (@p1559) :args ((forall @t150 (=> @t734 @t670)))) % 0.37/0.89 (step @p1561 :rule trans :premises (@p1560 @p1555)) % 0.37/0.89 (step @p1562 :rule exists-elim :args ((= (exists @t9 @t732) @t734))) % 0.37/0.89 (step @p1563 :rule eq-symm :args (@t642 @t129)) % 0.37/0.89 (step @p1564 :rule cong :premises (@p1563) :args ((forall @t70 (= @t642 @t129)))) % 0.37/0.89 (step @p1565 :rule cong :premises (@p1090 @p1062) :args (@t1338)) % 0.37/0.89 (step @p1566 :rule cong :premises (@p1565) :args ((forall @t70 @t1338))) % 0.37/0.89 (step @p1567 :rule trans :premises (@p1566 @p1564)) % 0.37/0.89 (step @p1568 :rule eq-symm :args (@t19 @t4)) % 0.37/0.89 (step @p1569 :rule refl :args (@t153)) % 0.37/0.89 (step @p1570 :rule cong :premises (@p1569 @p1568) :args (@t263)) % 0.37/0.89 (step @p1571 :rule cong :premises (@p1570) :args (@t264)) % 0.37/0.89 (step @p1572 :rule trans :premises (@p1571 @p1567)) % 0.37/0.89 (step @p1573 :rule cong :premises (@p1572) :args (@t265)) % 0.37/0.89 (step @p1574 :rule trans :premises (@p1573 @p1562)) % 0.37/0.89 (step @p1575 :rule cong :premises (@p1574 @p1107) :args (@t1339)) % 0.37/0.89 (step @p1576 :rule cong :premises (@p1575) :args (@t1340)) % 0.37/0.89 (step @p1577 :rule trans :premises (@p1576 @p1561)) % 0.37/0.89 (step @p1578 :rule refl :args (tptp.exuI2)) % 0.37/0.89 (step @p1579 :rule cong :premises (@p1578 @p1577) :args ((= tptp.exuI2 @t1340))) % 0.37/0.89 (step @p1580 :rule refl :args (@t265)) % 0.37/0.89 (step @p1581 :rule cong :premises (@p1580 @p1156) :args (@t348)) % 0.37/0.89 (step @p1582 :rule cong :premises (@p1581) :args (@t349)) % 0.37/0.89 (step @p1583 :rule cong :premises (@p1578 @p1582) :args (@t350)) % 0.37/0.89 (step @p1584 :rule trans :premises (@p1583 @p1579)) % 0.37/0.89 (step @p1585 :rule eq_resolve :premises (@p63 @p1584)) % 0.37/0.89 (step @p1586 :rule cong :premises (@p1585 @p1535) :args (@t1341)) % 0.37/0.89 (step @p1587 :rule quant-merge-prenex :args ((= (forall @t150 @t1343) @t681))) % 0.37/0.89 (step @p1588 :rule refl :args (@t677)) % 0.37/0.89 (step @p1589 :rule alpha_equiv :args (@t1344 (@list @t678) @t1139)) % 0.37/0.89 (step @p1590 :rule nary_cong :premises (@p1589 @p1588 @p1547) :args (@t1345)) % 0.37/0.89 (step @p1591 :rule quant-miniscope-or :args ((= @t1343 @t1345))) % 0.37/0.89 (step @p1592 :rule trans :premises (@p1591 @p1590)) % 0.37/0.89 (step @p1593 :rule symm :premises (@p1592)) % 0.37/0.89 (step @p1594 :rule cong :premises (@p1593) :args ((forall @t150 @t1346))) % 0.37/0.89 (step @p1595 :rule trans :premises (@p1594 @p1587)) % 0.37/0.89 (step @p1596 :rule aci_norm :args ((= (or @t801 (or @t677 @t670)) @t1346))) % 0.37/0.89 (step @p1597 :rule bool-impl-elim :args (@t676 @t670)) % 0.37/0.89 (step @p1598 :rule refl :args (@t801)) % 0.37/0.89 (step @p1599 :rule nary_cong :premises (@p1598 @p1597) :args ((or @t801 @t1347))) % 0.37/0.89 (step @p1600 :rule trans :premises (@p1599 @p1596)) % 0.37/0.89 (step @p1601 :rule refl :args (@t1347)) % 0.37/0.89 (step @p1602 :rule bool-double-not-elim :args (@t801)) % 0.37/0.89 (step @p1603 :rule nary_cong :premises (@p1602 @p1601) :args ((or (not @t802) @t1347))) % 0.37/0.89 (step @p1604 :rule bool-impl-elim :args (@t802 @t1347)) % 0.37/0.89 (step @p1605 :rule trans :premises (@p1604 @p1603)) % 0.37/0.89 (step @p1606 :rule trans :premises (@p1605 @p1600)) % 0.37/0.89 (step @p1607 :rule cong :premises (@p1606) :args ((forall @t150 (=> @t802 @t1347)))) % 0.37/0.89 (step @p1608 :rule trans :premises (@p1607 @p1595)) % 0.37/0.89 (step @p1609 :rule cong :premises (@p1202 @p1107) :args (@t1348)) % 0.37/0.89 (step @p1610 :rule cong :premises (@p1083) :args (@t1349)) % 0.37/0.89 (step @p1611 :rule cong :premises (@p1610) :args (@t1350)) % 0.37/0.89 (step @p1612 :rule exists-elim :args ((= @t186 @t1350))) % 0.37/0.89 (step @p1613 :rule trans :premises (@p1612 @p1611)) % 0.37/0.89 (step @p1614 :rule cong :premises (@p1613 @p1609) :args (@t1351)) % 0.37/0.89 (step @p1615 :rule cong :premises (@p1614) :args (@t1352)) % 0.37/0.89 (step @p1616 :rule trans :premises (@p1615 @p1608)) % 0.37/0.89 (step @p1617 :rule refl :args (tptp.exuI3)) % 0.37/0.89 (step @p1618 :rule cong :premises (@p1617 @p1616) :args ((= tptp.exuI3 @t1352))) % 0.37/0.89 (step @p1619 :rule cong :premises (@p1208 @p1156) :args (@t344)) % 0.37/0.89 (step @p1620 :rule refl :args (@t186)) % 0.37/0.89 (step @p1621 :rule cong :premises (@p1620 @p1619) :args (@t345)) % 0.37/0.89 (step @p1622 :rule cong :premises (@p1621) :args (@t346)) % 0.37/0.89 (step @p1623 :rule cong :premises (@p1617 @p1622) :args (@t347)) % 0.37/0.89 (step @p1624 :rule trans :premises (@p1623 @p1618)) % 0.37/0.89 (step @p1625 :rule eq_resolve :premises (@p62 @p1624)) % 0.37/0.89 (step @p1626 :rule cong :premises (@p1625 @p1586) :args (@t1353)) % 0.37/0.89 (step @p1627 :rule bool-eq-true :args (tptp.exuI1)) % 0.37/0.89 (step @p1628 :rule symm :premises (@p1627)) % 0.37/0.89 (step @p1629 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 0.37/0.89 (step @p1630 :rule bool-or-taut :args (false @t669 false false)) % 0.37/0.89 (step @p1631 :rule nary_cong :premises (@p1046 @p1547) :args ((or @t1149 @t670))) % 0.37/0.89 (step @p1632 :rule bool-impl-elim :args (@t670 @t670)) % 0.37/0.89 (step @p1633 :rule trans :premises (@p1632 @p1631)) % 0.37/0.89 (step @p1634 :rule trans :premises (@p1633 @p1630)) % 0.37/0.89 (step @p1635 :rule cong :premises (@p1634) :args ((forall @t150 (=> @t670 @t670)))) % 0.37/0.89 (step @p1636 :rule trans :premises (@p1635 @p1629)) % 0.37/0.89 (step @p1637 :rule cong :premises (@p1150 @p1107) :args (@t1354)) % 0.37/0.89 (step @p1638 :rule cong :premises (@p1637) :args (@t1355)) % 0.37/0.89 (step @p1639 :rule trans :premises (@p1638 @p1636)) % 0.37/0.89 (step @p1640 :rule refl :args (tptp.exuI1)) % 0.37/0.89 (step @p1641 :rule cong :premises (@p1640 @p1639) :args ((= tptp.exuI1 @t1355))) % 0.37/0.89 (step @p1642 :rule trans :premises (@p1641 @p1627)) % 0.37/0.89 (step @p1643 :rule refl :args (@t169)) % 0.37/0.89 (step @p1644 :rule cong :premises (@p1643 @p1156) :args (@t340)) % 0.37/0.89 (step @p1645 :rule cong :premises (@p1644) :args (@t341)) % 0.37/0.89 (step @p1646 :rule cong :premises (@p1640 @p1645) :args (@t342)) % 0.37/0.89 (step @p1647 :rule trans :premises (@p1646 @p1642)) % 0.37/0.89 (step @p1648 :rule eq_resolve :premises (@p61 @p1647)) % 0.37/0.89 (step @p1649 :rule eq_resolve :premises (@p1648 @p1628)) % 0.37/0.89 (step @p1650 :rule cong :premises (@p1649 @p1626) :args (@t1356)) % 0.37/0.89 (step @p1651 :rule bool-eq-true :args (tptp.notdallE)) % 0.37/0.89 (step @p1652 :rule symm :premises (@p1651)) % 0.37/0.89 (step @p1653 :rule bool-eq-true :args (tptp.notdallE)) % 0.37/0.89 (step @p1654 :rule eq-symm :args (true tptp.notdallE)) % 0.37/0.89 (step @p1655 :rule trans :premises (@p1654 @p1653)) % 0.37/0.89 (step @p1656 :rule refl :args (tptp.notdallE)) % 0.37/0.89 (step @p1657 :rule quant-unused-vars :args ((= (forall @t309 true) true))) % 0.37/0.89 (step @p1658 :rule bool-or-taut :args (false @t1357 false false)) % 0.37/0.89 (step @p1659 :rule refl :args (@t1358)) % 0.37/0.89 (step @p1660 :rule bool-double-not-elim :args (@t1357)) % 0.37/0.89 (step @p1661 :rule nary_cong :premises (@p1660 @p1659) :args ((or (not @t1358) @t1358))) % 0.37/0.89 (step @p1662 :rule bool-impl-elim :args (@t1358 @t1358)) % 0.37/0.89 (step @p1663 :rule trans :premises (@p1662 @p1661)) % 0.37/0.89 (step @p1664 :rule trans :premises (@p1663 @p1658)) % 0.37/0.89 (step @p1665 :rule cong :premises (@p1664) :args ((forall @t309 (=> @t1358 @t1358)))) % 0.37/0.89 (step @p1666 :rule trans :premises (@p1665 @p1657)) % 0.37/0.89 (step @p1667 :rule nary_cong :premises (@p661 @p393) :args (@t1359)) % 0.37/0.89 (step @p1668 :rule cong :premises (@p1667) :args ((forall @t9 @t1359))) % 0.37/0.89 (step @p1669 :rule bool-double-not-elim :args (@t144)) % 0.37/0.89 (step @p1670 :rule nary_cong :premises (@p670 @p1669) :args ((or @t197 (not @t315)))) % 0.37/0.89 (step @p1671 :rule bool-and-de-morgan :args (@t7 @t315 true)) % 0.37/0.89 (step @p1672 :rule trans :premises (@p1671 @p1670)) % 0.37/0.89 (step @p1673 :rule cong :premises (@p1672) :args (@t1360)) % 0.37/0.89 (step @p1674 :rule trans :premises (@p1673 @p1668)) % 0.37/0.89 (step @p1675 :rule cong :premises (@p1674) :args (@t1361)) % 0.37/0.89 (step @p1676 :rule exists-elim :args ((= @t317 @t1361))) % 0.37/0.89 (step @p1677 :rule trans :premises (@p1676 @p1675)) % 0.37/0.89 (step @p1678 :rule bool-impl-elim :args (@t7 @t144)) % 0.37/0.89 (step @p1679 :rule cong :premises (@p1678) :args (@t318)) % 0.37/0.89 (step @p1680 :rule trans :premises (@p1679 @p1668)) % 0.37/0.89 (step @p1681 :rule cong :premises (@p1680) :args (@t319)) % 0.37/0.89 (step @p1682 :rule cong :premises (@p1681 @p1677) :args (@t320)) % 0.37/0.89 (step @p1683 :rule cong :premises (@p1682) :args (@t321)) % 0.37/0.89 (step @p1684 :rule trans :premises (@p1683 @p1666)) % 0.37/0.89 (step @p1685 :rule cong :premises (@p1684 @p1656) :args ((= @t321 tptp.notdallE))) % 0.37/0.89 (step @p1686 :rule trans :premises (@p1685 @p1655)) % 0.37/0.89 (step @p1687 :rule eq-symm :args (tptp.notdallE @t321)) % 0.37/0.89 (step @p1688 :rule trans :premises (@p1687 @p1686)) % 0.37/0.89 (step @p1689 :rule eq_resolve :premises (@p60 @p1688)) % 0.37/0.89 (step @p1690 :rule eq_resolve :premises (@p1689 @p1652)) % 0.37/0.89 (step @p1691 :rule cong :premises (@p1690 @p1650) :args (@t1362)) % 0.37/0.89 (step @p1692 :rule bool-eq-true :args (tptp.notdexE)) % 0.37/0.89 (step @p1693 :rule symm :premises (@p1692)) % 0.37/0.89 (step @p1694 :rule bool-eq-true :args (tptp.notdexE)) % 0.37/0.89 (step @p1695 :rule eq-symm :args (true tptp.notdexE)) % 0.37/0.89 (step @p1696 :rule trans :premises (@p1695 @p1694)) % 0.37/0.89 (step @p1697 :rule refl :args (tptp.notdexE)) % 0.37/0.89 (step @p1698 :rule bool-or-taut2 :args (false @t1363 false false)) % 0.37/0.89 (step @p1699 :rule bool-impl-elim :args (@t1363 @t1363)) % 0.37/0.89 (step @p1700 :rule trans :premises (@p1699 @p1698)) % 0.37/0.89 (step @p1701 :rule cong :premises (@p1700) :args ((forall @t309 (=> @t1363 @t1363)))) % 0.37/0.89 (step @p1702 :rule trans :premises (@p1701 @p1657)) % 0.37/0.89 (step @p1703 :rule nary_cong :premises (@p661 @p1083) :args (@t1364)) % 0.37/0.89 (step @p1704 :rule cong :premises (@p1703) :args ((forall @t9 @t1364))) % 0.37/0.89 (step @p1705 :rule bool-impl-elim :args (@t7 @t315)) % 0.37/0.89 (step @p1706 :rule cong :premises (@p1705) :args (@t324)) % 0.37/0.89 (step @p1707 :rule trans :premises (@p1706 @p1704)) % 0.37/0.89 (step @p1708 :rule bool-double-not-elim :args (@t1363)) % 0.37/0.89 (step @p1709 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 0.37/0.89 (step @p1710 :rule cong :premises (@p1709) :args (@t1365)) % 0.37/0.89 (step @p1711 :rule trans :premises (@p1710 @p1704)) % 0.37/0.89 (step @p1712 :rule cong :premises (@p1711) :args (@t1366)) % 0.37/0.89 (step @p1713 :rule exists-elim :args ((= @t307 @t1366))) % 0.37/0.89 (step @p1714 :rule trans :premises (@p1713 @p1712)) % 0.37/0.89 (step @p1715 :rule cong :premises (@p1714) :args (@t323)) % 0.37/0.89 (step @p1716 :rule trans :premises (@p1715 @p1708)) % 0.37/0.89 (step @p1717 :rule cong :premises (@p1716 @p1707) :args (@t328)) % 0.37/0.89 (step @p1718 :rule cong :premises (@p1717) :args (@t329)) % 0.37/0.89 (step @p1719 :rule trans :premises (@p1718 @p1702)) % 0.37/0.89 (step @p1720 :rule cong :premises (@p1719 @p1697) :args ((= @t329 tptp.notdexE))) % 0.37/0.89 (step @p1721 :rule trans :premises (@p1720 @p1696)) % 0.37/0.89 (step @p1722 :rule eq-symm :args (tptp.notdexE @t329)) % 0.37/0.89 (step @p1723 :rule trans :premises (@p1722 @p1721)) % 0.37/0.89 (step @p1724 :rule eq_resolve :premises (@p59 @p1723)) % 0.37/0.89 (step @p1725 :rule eq_resolve :premises (@p1724 @p1693)) % 0.37/0.89 (step @p1726 :rule cong :premises (@p1725 @p1691) :args (@t1367)) % 0.37/0.89 (step @p1727 :rule aci_norm :args ((= (or false @t684) @t684))) % 0.37/0.89 (step @p1728 :rule nary_cong :premises (@p630 @p285) :args (@t1368)) % 0.37/0.89 (step @p1729 :rule trans :premises (@p1728 @p1727)) % 0.37/0.89 (step @p1730 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1372 @t1371 @t1370)) @t1368))) % 0.37/0.89 (step @p1731 :rule refl :args (@t1370)) % 0.37/0.89 (step @p1732 :rule refl :args (@t1371)) % 0.37/0.89 (step @p1733 :rule bool-eq-true :args (@t173)) % 0.37/0.89 (step @p1734 :rule symm :premises (@p1733)) % 0.37/0.89 (step @p1735 :rule cong :premises (@p1734) :args (@t1371)) % 0.37/0.89 (step @p1736 :rule nary_cong :premises (@p1735 @p1732 @p1731) :args (@t1373)) % 0.37/0.89 (step @p1737 :rule aci_norm :args ((= @t1374 @t1373))) % 0.37/0.89 (step @p1738 :rule trans :premises (@p1737 @p1736)) % 0.37/0.89 (step @p1739 :rule cong :premises (@p1738) :args ((forall @t179 @t1374))) % 0.37/0.89 (step @p1740 :rule trans :premises (@p1739 @p1730)) % 0.37/0.89 (step @p1741 :rule trans :premises (@p1740 @p1729)) % 0.37/0.89 (step @p1742 :rule refl :args ((tptp.set2prop @t174))) % 0.37/0.89 (step @p1743 :rule refl :args (@t1369)) % 0.37/0.89 (step @p1744 :rule cong :premises (@p1743) :args (@t1370)) % 0.37/0.89 (step @p1745 :rule trans :premises (@p1744 @p1742)) % 0.37/0.89 (step @p1746 :rule refl :args (tptp.set2prop)) % 0.37/0.89 (step @p1747 :rule ho_cong :premises (@p1746 @p1743)) % 0.37/0.89 (step @p1748 :rule cong :premises (@p1747 @p1745) :args ((= (_ tptp.set2prop @t1369) @t1370))) % 0.37/0.89 (step @p1749 :rule symm :premises (@p1748)) % 0.37/0.89 (step @p1750 :rule refl :args (@t337)) % 0.37/0.89 (step @p1751 :rule eq_resolve :premises (@p1750 @p1749)) % 0.37/0.89 (step @p1752 :rule refl :args (@t174)) % 0.37/0.89 (step @p1753 :rule cong :premises (@p1752 @p1743) :args ((= @t174 @t1369))) % 0.37/0.89 (step @p1754 :rule symm :premises (@p1753)) % 0.37/0.89 (step @p1755 :rule eq_resolve :premises (@p1752 @p1754)) % 0.37/0.89 (step @p1756 :rule ho_cong :premises (@p1746 @p1755)) % 0.37/0.89 (step @p1757 :rule trans :premises (@p1756 @p1751)) % 0.37/0.89 (step @p1758 :rule nary_cong :premises (@p1732 @p1757) :args (@t1375)) % 0.37/0.89 (step @p1759 :rule cong :premises (@p1758) :args ((forall @t179 @t1375))) % 0.37/0.89 (step @p1760 :rule trans :premises (@p1759 @p1741)) % 0.37/0.89 (step @p1761 :rule bool-impl-elim :args (@t173 @t337)) % 0.37/0.89 (step @p1762 :rule cong :premises (@p1761) :args (@t338)) % 0.37/0.89 (step @p1763 :rule trans :premises (@p1762 @p1760)) % 0.37/0.89 (step @p1764 :rule refl :args (tptp.prop2set2propI)) % 0.37/0.89 (step @p1765 :rule cong :premises (@p1764 @p1763) :args (@t339)) % 0.37/0.89 (step @p1766 :rule eq_resolve :premises (@p58 @p1765)) % 0.37/0.89 (step @p1767 :rule cong :premises (@p1766 @p1726) :args (@t1376)) % 0.37/0.89 (step @p1768 :rule aci_norm :args ((= (or false @t686) @t686))) % 0.37/0.89 (step @p1769 :rule nary_cong :premises (@p630 @p287) :args (@t1377)) % 0.37/0.89 (step @p1770 :rule trans :premises (@p1769 @p1768)) % 0.37/0.89 (step @p1771 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1372 @t1371 @t1378)) @t1377))) % 0.37/0.89 (step @p1772 :rule refl :args (@t1378)) % 0.37/0.89 (step @p1773 :rule nary_cong :premises (@p1735 @p1732 @p1772) :args (@t1379)) % 0.37/0.89 (step @p1774 :rule aci_norm :args ((= @t1380 @t1379))) % 0.37/0.89 (step @p1775 :rule trans :premises (@p1774 @p1773)) % 0.37/0.89 (step @p1776 :rule cong :premises (@p1775) :args ((forall @t179 @t1380))) % 0.37/0.89 (step @p1777 :rule trans :premises (@p1776 @p1771)) % 0.37/0.89 (step @p1778 :rule trans :premises (@p1777 @p1770)) % 0.37/0.89 (step @p1779 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 0.37/0.89 (step @p1780 :rule cong :premises (@p155 @p1743) :args (@t1378)) % 0.37/0.89 (step @p1781 :rule trans :premises (@p1780 @p1779)) % 0.37/0.89 (step @p1782 :rule ho_cong :premises (@p158 @p1743)) % 0.37/0.89 (step @p1783 :rule cong :premises (@p1782 @p1781) :args ((= (_ @t49 @t1369) @t1378))) % 0.37/0.89 (step @p1784 :rule symm :premises (@p1783)) % 0.37/0.89 (step @p1785 :rule refl :args (@t334)) % 0.37/0.89 (step @p1786 :rule eq_resolve :premises (@p1785 @p1784)) % 0.37/0.89 (step @p1787 :rule ho_cong :premises (@p158 @p1755)) % 0.37/0.89 (step @p1788 :rule trans :premises (@p1787 @p1786)) % 0.37/0.89 (step @p1789 :rule nary_cong :premises (@p1732 @p1788) :args (@t1381)) % 0.37/0.89 (step @p1790 :rule cong :premises (@p1789) :args ((forall @t179 @t1381))) % 0.37/0.89 (step @p1791 :rule trans :premises (@p1790 @p1778)) % 0.37/0.89 (step @p1792 :rule bool-impl-elim :args (@t173 @t334)) % 0.37/0.89 (step @p1793 :rule cong :premises (@p1792) :args (@t335)) % 0.37/0.89 (step @p1794 :rule trans :premises (@p1793 @p1791)) % 0.37/0.89 (step @p1795 :rule refl :args (tptp.prop2setI)) % 0.37/0.89 (step @p1796 :rule cong :premises (@p1795 @p1794) :args (@t336)) % 0.37/0.89 (step @p1797 :rule eq_resolve :premises (@p57 @p1796)) % 0.37/0.89 (step @p1798 :rule cong :premises (@p1797 @p1767) :args (@t1382)) % 0.37/0.89 (step @p1799 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 0.37/0.89 (step @p1800 :rule symm :premises (@p1799)) % 0.37/0.89 (step @p1801 :rule cong :premises (@p1677 @p1681) :args (@t331)) % 0.37/0.89 (step @p1802 :rule cong :premises (@p1801) :args (@t332)) % 0.37/0.89 (step @p1803 :rule trans :premises (@p1802 @p1666)) % 0.37/0.89 (step @p1804 :rule refl :args (tptp.quantDeMorgan4)) % 0.37/0.89 (step @p1805 :rule cong :premises (@p1804 @p1803) :args (@t333)) % 0.37/0.89 (step @p1806 :rule trans :premises (@p1805 @p1799)) % 0.37/0.89 (step @p1807 :rule eq_resolve :premises (@p56 @p1806)) % 0.37/0.89 (step @p1808 :rule eq_resolve :premises (@p1807 @p1800)) % 0.37/0.89 (step @p1809 :rule cong :premises (@p1808 @p1798) :args (@t1383)) % 0.37/0.89 (step @p1810 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 0.37/0.89 (step @p1811 :rule symm :premises (@p1810)) % 0.37/0.89 (step @p1812 :rule refl :args (tptp.quantDeMorgan3)) % 0.37/0.89 (step @p1813 :rule cong :premises (@p1812 @p1719) :args (@t330)) % 0.37/0.89 (step @p1814 :rule trans :premises (@p1813 @p1810)) % 0.37/0.89 (step @p1815 :rule eq_resolve :premises (@p55 @p1814)) % 0.37/0.89 (step @p1816 :rule eq_resolve :premises (@p1815 @p1811)) % 0.37/0.89 (step @p1817 :rule cong :premises (@p1816 @p1809) :args (@t1384)) % 0.37/0.89 (step @p1818 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 0.37/0.89 (step @p1819 :rule symm :premises (@p1818)) % 0.37/0.89 (step @p1820 :rule cong :premises (@p1707 @p1716) :args (@t325)) % 0.37/0.89 (step @p1821 :rule cong :premises (@p1820) :args (@t326)) % 0.37/0.89 (step @p1822 :rule trans :premises (@p1821 @p1702)) % 0.37/0.89 (step @p1823 :rule refl :args (tptp.quantDeMorgan2)) % 0.37/0.89 (step @p1824 :rule cong :premises (@p1823 @p1822) :args (@t327)) % 0.37/0.89 (step @p1825 :rule trans :premises (@p1824 @p1818)) % 0.37/0.89 (step @p1826 :rule eq_resolve :premises (@p54 @p1825)) % 0.37/0.89 (step @p1827 :rule eq_resolve :premises (@p1826 @p1819)) % 0.37/0.89 (step @p1828 :rule cong :premises (@p1827 @p1817) :args (@t1385)) % 0.37/0.89 (step @p1829 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 0.37/0.89 (step @p1830 :rule symm :premises (@p1829)) % 0.37/0.89 (step @p1831 :rule refl :args (tptp.quantDeMorgan1)) % 0.37/0.89 (step @p1832 :rule cong :premises (@p1831 @p1684) :args (@t322)) % 0.37/0.89 (step @p1833 :rule trans :premises (@p1832 @p1829)) % 0.37/0.89 (step @p1834 :rule eq_resolve :premises (@p53 @p1833)) % 0.37/0.89 (step @p1835 :rule eq_resolve :premises (@p1834 @p1830)) % 0.37/0.89 (step @p1836 :rule cong :premises (@p1835 @p1828) :args (@t1386)) % 0.37/0.89 (step @p1837 :rule refl :args (@t688)) % 0.37/0.89 (step @p1838 :rule refl :args (@t15)) % 0.37/0.89 (step @p1839 :rule cong :premises (@p1838 @p1837) :args ((= @t15 @t688))) % 0.37/0.89 (step @p1840 :rule symm :premises (@p1839)) % 0.37/0.89 (step @p1841 :rule eq_resolve :premises (@p1838 @p1840)) % 0.37/0.89 (step @p1842 :rule cong :premises (@p1841) :args (@t16)) % 0.37/0.89 (step @p1843 :rule nary_cong :premises (@p1842 @p393) :args (@t1387)) % 0.37/0.89 (step @p1844 :rule cong :premises (@p1843) :args ((forall @t312 @t1387))) % 0.37/0.89 (step @p1845 :rule bool-impl-elim :args (@t15 @t144)) % 0.37/0.89 (step @p1846 :rule cong :premises (@p1845) :args (@t313)) % 0.37/0.89 (step @p1847 :rule trans :premises (@p1846 @p1844)) % 0.37/0.89 (step @p1848 :rule refl :args (tptp.vacuousDall)) % 0.37/0.89 (step @p1849 :rule cong :premises (@p1848 @p1847) :args (@t314)) % 0.37/0.89 (step @p1850 :rule eq_resolve :premises (@p52 @p1849)) % 0.37/0.89 (step @p1851 :rule cong :premises (@p1850 @p1836) :args (@t1388)) % 0.37/0.89 (step @p1852 :rule aci_norm :args ((= @t1390 @t696))) % 0.37/0.89 (step @p1853 :rule cong :premises (@p1852) :args (@t1391)) % 0.37/0.89 (step @p1854 :rule quant-merge-prenex :args ((= (forall @t309 @t1393) @t1391))) % 0.37/0.89 (step @p1855 :rule refl :args (@t695)) % 0.37/0.89 (step @p1856 :rule alpha_equiv :args (@t1394 (@list @t692) @t1139)) % 0.37/0.89 (step @p1857 :rule nary_cong :premises (@p1856 @p1855) :args (@t1395)) % 0.37/0.89 (step @p1858 :rule quant-miniscope-or :args ((= @t1393 @t1395))) % 0.37/0.89 (step @p1859 :rule trans :premises (@p1858 @p1857)) % 0.37/0.89 (step @p1860 :rule symm :premises (@p1859)) % 0.37/0.89 (step @p1861 :rule cong :premises (@p1860) :args ((forall @t309 (or @t1363 @t695)))) % 0.37/0.89 (step @p1862 :rule trans :premises (@p1861 @p1854)) % 0.37/0.89 (step @p1863 :rule trans :premises (@p1862 @p1853)) % 0.37/0.89 (step @p1864 :rule cong :premises (@p108 @p360) :args (@t1396)) % 0.37/0.89 (step @p1865 :rule cong :premises (@p1864) :args (@t1397)) % 0.37/0.89 (step @p1866 :rule refl :args (@t1363)) % 0.37/0.89 (step @p1867 :rule nary_cong :premises (@p1866 @p1865) :args (@t1398)) % 0.37/0.89 (step @p1868 :rule cong :premises (@p1867) :args ((forall @t309 @t1398))) % 0.37/0.89 (step @p1869 :rule trans :premises (@p1868 @p1863)) % 0.37/0.89 (step @p1870 :rule cong :premises (@p155 @p396) :args (@t1399)) % 0.37/0.89 (step @p1871 :rule cong :premises (@p1870) :args (@t1400)) % 0.37/0.89 (step @p1872 :rule refl :args (@t1363)) % 0.37/0.89 (step @p1873 :rule nary_cong :premises (@p1872 @p1871) :args (@t1401)) % 0.37/0.89 (step @p1874 :rule cong :premises (@p1873) :args ((forall @t309 @t1401))) % 0.37/0.89 (step @p1875 :rule trans :premises (@p1874 @p1869)) % 0.37/0.89 (step @p1876 :rule refl :args (@t1400)) % 0.37/0.89 (step @p1877 :rule bool-double-not-elim :args (@t1363)) % 0.37/0.89 (step @p1878 :rule nary_cong :premises (@p1877 @p1876) :args ((or (not @t1402) @t1400))) % 0.37/0.89 (step @p1879 :rule bool-impl-elim :args (@t1402 @t1400)) % 0.37/0.89 (step @p1880 :rule trans :premises (@p1879 @p1878)) % 0.37/0.89 (step @p1881 :rule cong :premises (@p1880) :args ((forall @t309 (=> @t1402 @t1400)))) % 0.37/0.89 (step @p1882 :rule trans :premises (@p1881 @p1875)) % 0.37/0.89 (step @p1883 :rule eq-symm :args (@t304 tptp.emptyset)) % 0.37/0.89 (step @p1884 :rule cong :premises (@p1883) :args ((not @t305))) % 0.37/0.89 (step @p1885 :rule bool-impl-false1 :args (@t305)) % 0.37/0.89 (step @p1886 :rule trans :premises (@p1885 @p1884)) % 0.37/0.89 (step @p1887 :rule cong :premises (@p1714 @p1886) :args (@t308)) % 0.37/0.89 (step @p1888 :rule cong :premises (@p1887) :args (@t310)) % 0.37/0.89 (step @p1889 :rule trans :premises (@p1888 @p1882)) % 0.37/0.89 (step @p1890 :rule refl :args (tptp.emptyE1)) % 0.37/0.89 (step @p1891 :rule cong :premises (@p1890 @p1889) :args (@t311)) % 0.37/0.89 (step @p1892 :rule eq_resolve :premises (@p51 @p1891)) % 0.37/0.89 (step @p1893 :rule cong :premises (@p1892 @p1851) :args (@t1403)) % 0.37/0.89 (step @p1894 :rule refl :args ((tptp.in @t19 @t291))) % 0.37/0.89 (step @p1895 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 0.37/0.89 (step @p1896 :rule refl :args (@t700)) % 0.37/0.89 (step @p1897 :rule refl :args (@t4)) % 0.37/0.89 (step @p1898 :rule cong :premises (@p1897 @p1896) :args (@t701)) % 0.37/0.89 (step @p1899 :rule trans :premises (@p1898 @p1895)) % 0.37/0.89 (step @p1900 :rule refl :args (@t19)) % 0.37/0.89 (step @p1901 :rule cong :premises (@p1900 @p1899) :args (@t702)) % 0.37/0.89 (step @p1902 :rule trans :premises (@p1901 @p1894)) % 0.37/0.89 (step @p1903 :rule refl :args (@t20)) % 0.37/0.89 (step @p1904 :rule ho_cong :premises (@p1903 @p1899)) % 0.37/0.89 (step @p1905 :rule cong :premises (@p1904 @p1902) :args ((= (_ @t20 @t701) @t702))) % 0.37/0.89 (step @p1906 :rule symm :premises (@p1905)) % 0.37/0.89 (step @p1907 :rule refl :args (@t301)) % 0.37/0.89 (step @p1908 :rule eq_resolve :premises (@p1907 @p1906)) % 0.37/0.89 (step @p1909 :rule refl :args (@t24)) % 0.37/0.89 (step @p1910 :rule ho_cong :premises (@p1909 @p1896)) % 0.37/0.89 (step @p1911 :rule cong :premises (@p1910 @p1899) :args ((= (_ @t24 @t700) @t701))) % 0.37/0.89 (step @p1912 :rule symm :premises (@p1911)) % 0.37/0.89 (step @p1913 :rule refl :args (@t291)) % 0.37/0.89 (step @p1914 :rule eq_resolve :premises (@p1913 @p1912)) % 0.37/0.89 (step @p1915 :rule refl :args (@t275)) % 0.37/0.89 (step @p1916 :rule cong :premises (@p1915 @p1896) :args ((= @t275 @t700))) % 0.37/0.89 (step @p1917 :rule symm :premises (@p1916)) % 0.37/0.89 (step @p1918 :rule eq_resolve :premises (@p1915 @p1917)) % 0.37/0.89 (step @p1919 :rule ho_cong :premises (@p1909 @p1918)) % 0.37/0.89 (step @p1920 :rule trans :premises (@p1919 @p1914)) % 0.37/0.89 (step @p1921 :rule ho_cong :premises (@p1903 @p1920)) % 0.37/0.89 (step @p1922 :rule trans :premises (@p1921 @p1908)) % 0.37/0.89 (step @p1923 :rule cong :premises (@p1922) :args (@t302)) % 0.37/0.89 (step @p1924 :rule refl :args (tptp.upairsetIR)) % 0.37/0.89 (step @p1925 :rule cong :premises (@p1924 @p1923) :args (@t303)) % 0.37/0.89 (step @p1926 :rule eq_resolve :premises (@p50 @p1925)) % 0.37/0.89 (step @p1927 :rule cong :premises (@p1926 @p1893) :args (@t1404)) % 0.37/0.89 (step @p1928 :rule refl :args ((tptp.in @t4 @t291))) % 0.37/0.89 (step @p1929 :rule cong :premises (@p1897 @p1899) :args (@t705)) % 0.37/0.89 (step @p1930 :rule trans :premises (@p1929 @p1928)) % 0.37/0.89 (step @p1931 :rule refl :args (@t5)) % 0.37/0.89 (step @p1932 :rule ho_cong :premises (@p1931 @p1899)) % 0.37/0.89 (step @p1933 :rule cong :premises (@p1932 @p1930) :args ((= (_ @t5 @t701) @t705))) % 0.37/0.89 (step @p1934 :rule symm :premises (@p1933)) % 0.37/0.89 (step @p1935 :rule refl :args (@t298)) % 0.37/0.89 (step @p1936 :rule eq_resolve :premises (@p1935 @p1934)) % 0.37/0.89 (step @p1937 :rule ho_cong :premises (@p1931 @p1920)) % 0.37/0.89 (step @p1938 :rule trans :premises (@p1937 @p1936)) % 0.37/0.89 (step @p1939 :rule cong :premises (@p1938) :args (@t299)) % 0.37/0.89 (step @p1940 :rule refl :args (tptp.upairsetIL)) % 0.37/0.89 (step @p1941 :rule cong :premises (@p1940 @p1939) :args (@t300)) % 0.37/0.89 (step @p1942 :rule eq_resolve :premises (@p49 @p1941)) % 0.37/0.89 (step @p1943 :rule cong :premises (@p1942 @p1927) :args (@t1405)) % 0.37/0.89 (step @p1944 :rule refl :args (@t708)) % 0.37/0.89 (step @p1945 :rule refl :args (@t709)) % 0.37/0.89 (step @p1946 :rule refl :args ((tptp.in @t289 @t291))) % 0.37/0.89 (step @p1947 :rule refl :args (@t289)) % 0.37/0.89 (step @p1948 :rule cong :premises (@p1947 @p1899) :args (@t710)) % 0.37/0.89 (step @p1949 :rule trans :premises (@p1948 @p1946)) % 0.37/0.89 (step @p1950 :rule refl :args (@t292)) % 0.37/0.89 (step @p1951 :rule ho_cong :premises (@p1950 @p1899)) % 0.37/0.89 (step @p1952 :rule cong :premises (@p1951 @p1949) :args ((= (_ @t292 @t701) @t710))) % 0.37/0.89 (step @p1953 :rule symm :premises (@p1952)) % 0.37/0.89 (step @p1954 :rule refl :args (@t293)) % 0.37/0.89 (step @p1955 :rule eq_resolve :premises (@p1954 @p1953)) % 0.37/0.89 (step @p1956 :rule ho_cong :premises (@p1950 @p1920)) % 0.37/0.89 (step @p1957 :rule trans :premises (@p1956 @p1955)) % 0.37/0.89 (step @p1958 :rule cong :premises (@p1957) :args (@t1406)) % 0.37/0.89 (step @p1959 :rule nary_cong :premises (@p1958 @p1945 @p1944) :args (@t1407)) % 0.37/0.89 (step @p1960 :rule cong :premises (@p1959) :args ((forall @t295 @t1407))) % 0.37/0.89 (step @p1961 :rule aci_norm :args ((= (or @t1406 @t1408) @t1407))) % 0.37/0.89 (step @p1962 :rule bool-impl-elim :args (@t293 @t1408)) % 0.37/0.89 (step @p1963 :rule trans :premises (@p1962 @p1961)) % 0.37/0.89 (step @p1964 :rule cong :premises (@p1963) :args ((forall @t295 (=> @t293 @t1408)))) % 0.37/0.89 (step @p1965 :rule trans :premises (@p1964 @p1960)) % 0.37/0.89 (step @p1966 :rule eq-symm :args (@t289 @t19)) % 0.37/0.89 (step @p1967 :rule eq-symm :args (@t289 @t4)) % 0.37/0.89 (step @p1968 :rule nary_cong :premises (@p1967 @p1966) :args (@t290)) % 0.37/0.89 (step @p1969 :rule refl :args (@t293)) % 0.37/0.89 (step @p1970 :rule cong :premises (@p1969 @p1968) :args (@t294)) % 0.37/0.89 (step @p1971 :rule cong :premises (@p1970) :args (@t296)) % 0.37/0.89 (step @p1972 :rule trans :premises (@p1971 @p1965)) % 0.37/0.89 (step @p1973 :rule refl :args (tptp.upairsetE)) % 0.37/0.89 (step @p1974 :rule cong :premises (@p1973 @p1972) :args (@t297)) % 0.37/0.89 (step @p1975 :rule eq_resolve :premises (@p48 @p1974)) % 0.37/0.89 (step @p1976 :rule cong :premises (@p1975 @p1943) :args (@t1409)) % 0.37/0.89 (step @p1977 :rule refl :args ((tptp.in @t19 @t279))) % 0.37/0.89 (step @p1978 :rule refl :args (@t713)) % 0.37/0.89 (step @p1979 :rule cong :premises (@p1900 @p1978) :args (@t714)) % 0.37/0.89 (step @p1980 :rule trans :premises (@p1979 @p1977)) % 0.37/0.89 (step @p1981 :rule ho_cong :premises (@p1903 @p1978)) % 0.37/0.89 (step @p1982 :rule cong :premises (@p1981 @p1980) :args ((= (_ @t20 @t713) @t714))) % 0.37/0.89 (step @p1983 :rule symm :premises (@p1982)) % 0.37/0.89 (step @p1984 :rule refl :args (@t280)) % 0.37/0.89 (step @p1985 :rule eq_resolve :premises (@p1984 @p1983)) % 0.37/0.89 (step @p1986 :rule refl :args (@t279)) % 0.37/0.89 (step @p1987 :rule cong :premises (@p1986 @p1978) :args ((= @t279 @t713))) % 0.37/0.89 (step @p1988 :rule symm :premises (@p1987)) % 0.37/0.89 (step @p1989 :rule eq_resolve :premises (@p1986 @p1988)) % 0.37/0.89 (step @p1990 :rule ho_cong :premises (@p1903 @p1989)) % 0.37/0.89 (step @p1991 :rule trans :premises (@p1990 @p1985)) % 0.37/0.89 (step @p1992 :rule refl :args ((tptp.in @t4 @t275))) % 0.37/0.89 (step @p1993 :rule cong :premises (@p1897 @p1896) :args (@t715)) % 0.37/0.89 (step @p1994 :rule trans :premises (@p1993 @p1992)) % 0.37/0.89 (step @p1995 :rule ho_cong :premises (@p1931 @p1896)) % 0.37/0.89 (step @p1996 :rule cong :premises (@p1995 @p1994) :args ((= (_ @t5 @t700) @t715))) % 0.37/0.89 (step @p1997 :rule symm :premises (@p1996)) % 0.37/0.89 (step @p1998 :rule refl :args (@t276)) % 0.37/0.89 (step @p1999 :rule eq_resolve :premises (@p1998 @p1997)) % 0.37/0.89 (step @p2000 :rule ho_cong :premises (@p1931 @p1918)) % 0.37/0.89 (step @p2001 :rule trans :premises (@p2000 @p1999)) % 0.37/0.89 (step @p2002 :rule cong :premises (@p2001) :args (@t1410)) % 0.37/0.89 (step @p2003 :rule nary_cong :premises (@p2002 @p1991) :args (@t1411)) % 0.37/0.89 (step @p2004 :rule cong :premises (@p2003) :args ((forall @t135 @t1411))) % 0.37/0.89 (step @p2005 :rule bool-impl-elim :args (@t276 @t280)) % 0.37/0.89 (step @p2006 :rule cong :premises (@p2005) :args (@t287)) % 0.37/0.89 (step @p2007 :rule trans :premises (@p2006 @p2004)) % 0.37/0.89 (step @p2008 :rule refl :args (tptp.singletonsswitch)) % 0.37/0.89 (step @p2009 :rule cong :premises (@p2008 @p2007) :args (@t288)) % 0.37/0.89 (step @p2010 :rule eq_resolve :premises (@p47 @p2009)) % 0.37/0.89 (step @p2011 :rule cong :premises (@p2010 @p1976) :args (@t1412)) % 0.37/0.89 (step @p2012 :rule aci_norm :args ((= (or false @t719) @t719))) % 0.37/0.89 (step @p2013 :rule refl :args (@t719)) % 0.37/0.89 (step @p2014 :rule nary_cong :premises (@p1113 @p2013) :args (@t1413)) % 0.37/0.89 (step @p2015 :rule trans :premises (@p2014 @p2012)) % 0.37/0.89 (step @p2016 :rule cong :premises (@p2015) :args ((forall @t70 @t1413))) % 0.37/0.89 (step @p2017 :rule quant-var-elim-eq :args ((= (forall @t9 @t1414) @t1413))) % 0.37/0.89 (step @p2018 :rule aci_norm :args ((= @t1415 @t1414))) % 0.37/0.89 (step @p2019 :rule cong :premises (@p2018) :args (@t1416)) % 0.37/0.89 (step @p2020 :rule trans :premises (@p2019 @p2017)) % 0.37/0.89 (step @p2021 :rule cong :premises (@p2020) :args (@t1417)) % 0.37/0.89 (step @p2022 :rule quant-merge-prenex :args ((= @t1417 @t1418))) % 0.37/0.89 (step @p2023 :rule symm :premises (@p2022)) % 0.37/0.89 (step @p2024 :rule quant_var_reordering :args ((= (forall @t135 @t1415) @t1418))) % 0.37/0.89 (step @p2025 :rule trans :premises (@p2024 @p2023 @p2021)) % 0.37/0.89 (step @p2026 :rule trans :premises (@p2025 @p2016)) % 0.37/0.89 (step @p2027 :rule nary_cong :premises (@p922 @p2001) :args (@t1419)) % 0.37/0.89 (step @p2028 :rule cong :premises (@p2027) :args ((forall @t135 @t1419))) % 0.37/0.89 (step @p2029 :rule trans :premises (@p2028 @p2026)) % 0.37/0.89 (step @p2030 :rule bool-impl-elim :args (@t129 @t276)) % 0.37/0.89 (step @p2031 :rule cong :premises (@p2030) :args (@t285)) % 0.37/0.89 (step @p2032 :rule trans :premises (@p2031 @p2029)) % 0.37/0.89 (step @p2033 :rule refl :args (tptp.eqinunit)) % 0.37/0.89 (step @p2034 :rule cong :premises (@p2033 @p2032) :args (@t286)) % 0.37/0.89 (step @p2035 :rule eq_resolve :premises (@p46 @p2034)) % 0.37/0.89 (step @p2036 :rule cong :premises (@p2035 @p2011) :args (@t1420)) % 0.37/0.89 (step @p2037 :rule cong :premises (@p1991) :args (@t281)) % 0.37/0.89 (step @p2038 :rule nary_cong :premises (@p1062 @p2037) :args (@t1421)) % 0.37/0.89 (step @p2039 :rule cong :premises (@p2038) :args ((forall @t135 @t1421))) % 0.37/0.89 (step @p2040 :rule refl :args (@t281)) % 0.37/0.89 (step @p2041 :rule bool-double-not-elim :args (@t129)) % 0.37/0.89 (step @p2042 :rule nary_cong :premises (@p2041 @p2040) :args ((or (not @t282) @t281))) % 0.37/0.89 (step @p2043 :rule bool-impl-elim :args (@t282 @t281)) % 0.37/0.89 (step @p2044 :rule trans :premises (@p2043 @p2042)) % 0.37/0.89 (step @p2045 :rule cong :premises (@p2044) :args (@t283)) % 0.37/0.89 (step @p2046 :rule trans :premises (@p2045 @p2039)) % 0.37/0.89 (step @p2047 :rule refl :args (tptp.notinsingleton)) % 0.37/0.89 (step @p2048 :rule cong :premises (@p2047 @p2046) :args (@t284)) % 0.37/0.89 (step @p2049 :rule eq_resolve :premises (@p45 @p2048)) % 0.37/0.89 (step @p2050 :rule cong :premises (@p2049 @p2036) :args (@t1422)) % 0.37/0.89 (step @p2051 :rule nary_cong :premises (@p2002 @p1062) :args (@t1423)) % 0.37/0.89 (step @p2052 :rule cong :premises (@p2051) :args ((forall @t135 @t1423))) % 0.37/0.89 (step @p2053 :rule bool-impl-elim :args (@t276 @t129)) % 0.37/0.89 (step @p2054 :rule cong :premises (@p2053) :args (@t277)) % 0.37/0.89 (step @p2055 :rule trans :premises (@p2054 @p2052)) % 0.37/0.89 (step @p2056 :rule refl :args (tptp.uniqinunit)) % 0.37/0.89 (step @p2057 :rule cong :premises (@p2056 @p2055) :args (@t278)) % 0.37/0.89 (step @p2058 :rule eq_resolve :premises (@p44 @p2057)) % 0.37/0.89 (step @p2059 :rule cong :premises (@p2058 @p2050) :args (@t1424)) % 0.37/0.89 (step @p2060 :rule refl :args (@t727)) % 0.37/0.89 (step @p2061 :rule bool-double-not-elim :args (@t196)) % 0.37/0.89 (step @p2062 :rule nary_cong :premises (@p2061 @p2060) :args ((or (not @t1425) @t727))) % 0.37/0.89 (step @p2063 :rule bool-impl-elim :args (@t1425 @t727)) % 0.37/0.89 (step @p2064 :rule trans :premises (@p2063 @p2062)) % 0.37/0.89 (step @p2065 :rule cong :premises (@p2064) :args ((forall @t64 (=> @t1425 @t727)))) % 0.37/0.89 (step @p2066 :rule cong :premises (@p661) :args (@t198)) % 0.37/0.89 (step @p2067 :rule cong :premises (@p2066) :args (@t1426)) % 0.37/0.89 (step @p2068 :rule exists-elim :args ((= @t89 @t1426))) % 0.37/0.89 (step @p2069 :rule trans :premises (@p2068 @p2067)) % 0.37/0.89 (step @p2070 :rule aci_norm :args ((= @t269 @t7))) % 0.37/0.89 (step @p2071 :rule cong :premises (@p2070) :args (@t270)) % 0.37/0.89 (step @p2072 :rule trans :premises (@p2071 @p2069)) % 0.37/0.89 (step @p2073 :rule beta-reduce :args ((= @t1427 @t1425))) % 0.37/0.89 (step @p2074 :rule cong :premises (@p2073 @p2072) :args (@t1428)) % 0.37/0.89 (step @p2075 :rule cong :premises (@p2074) :args (@t1429)) % 0.37/0.89 (step @p2076 :rule trans :premises (@p2075 @p2065)) % 0.37/0.89 (step @p2077 :rule refl :args (tptp.nonemptyImpWitness)) % 0.37/0.89 (step @p2078 :rule cong :premises (@p2077 @p2076) :args ((= tptp.nonemptyImpWitness @t1429))) % 0.37/0.89 (step @p2079 :rule refl :args (@t270)) % 0.37/0.89 (step @p2080 :rule ho_cong :premises (@p101 @p359)) % 0.37/0.89 (step @p2081 :rule cong :premises (@p2080 @p2079) :args (@t271)) % 0.37/0.89 (step @p2082 :rule cong :premises (@p2081) :args (@t272)) % 0.37/0.89 (step @p2083 :rule cong :premises (@p2077 @p2082) :args (@t273)) % 0.37/0.89 (step @p2084 :rule trans :premises (@p2083 @p2078)) % 0.37/0.89 (step @p2085 :rule eq_resolve :premises (@p43 @p2084)) % 0.37/0.89 (step @p2086 :rule cong :premises (@p2085 @p2059) :args (@t1430)) % 0.37/0.89 (step @p2087 :rule eq-symm :args (@t730 @t19)) % 0.37/0.89 (step @p2088 :rule nary_cong :premises (@p978 @p2087) :args (@t1431)) % 0.37/0.89 (step @p2089 :rule cong :premises (@p2088) :args (@t1432)) % 0.37/0.89 (step @p2090 :rule cong :premises (@p2089) :args (@t1433)) % 0.37/0.89 (step @p2091 :rule refl :args (@t731)) % 0.37/0.89 (step @p2092 :rule refl :args (@t734)) % 0.37/0.89 (step @p2093 :rule nary_cong :premises (@p2092 @p2091 @p2090) :args (@t1434)) % 0.37/0.89 (step @p2094 :rule aci_norm :args ((= @t1436 @t1434))) % 0.37/0.89 (step @p2095 :rule trans :premises (@p2094 @p2093)) % 0.37/0.89 (step @p2096 :rule cong :premises (@p2095) :args (@t1437)) % 0.37/0.89 (step @p2097 :rule quant-merge-prenex :args ((= (forall @t150 @t1439) @t1437))) % 0.37/0.89 (step @p2098 :rule refl :args (@t734)) % 0.37/0.89 (step @p2099 :rule alpha_equiv :args (@t1440 (@list @t730) @t1139)) % 0.37/0.89 (step @p2100 :rule nary_cong :premises (@p2099 @p2098) :args (@t1441)) % 0.37/0.89 (step @p2101 :rule quant-miniscope-or :args ((= @t1439 @t1441))) % 0.37/0.89 (step @p2102 :rule trans :premises (@p2101 @p2100)) % 0.37/0.89 (step @p2103 :rule symm :premises (@p2102)) % 0.37/0.89 (step @p2104 :rule cong :premises (@p2103) :args ((forall @t150 (or @t669 @t734)))) % 0.37/0.89 (step @p2105 :rule trans :premises (@p2104 @p2097)) % 0.37/0.89 (step @p2106 :rule trans :premises (@p2105 @p2096)) % 0.37/0.89 (step @p2107 :rule nary_cong :premises (@p1046 @p2098) :args ((or @t1149 @t734))) % 0.37/0.89 (step @p2108 :rule bool-impl-elim :args (@t670 @t734)) % 0.37/0.89 (step @p2109 :rule trans :premises (@p2108 @p2107)) % 0.37/0.89 (step @p2110 :rule cong :premises (@p2109) :args ((forall @t150 (=> @t670 @t734)))) % 0.37/0.89 (step @p2111 :rule trans :premises (@p2110 @p2106)) % 0.37/0.89 (step @p2112 :rule cong :premises (@p1107 @p1574) :args (@t1442)) % 0.37/0.89 (step @p2113 :rule cong :premises (@p2112) :args (@t1443)) % 0.37/0.89 (step @p2114 :rule trans :premises (@p2113 @p2111)) % 0.37/0.89 (step @p2115 :rule refl :args (tptp.exuE2)) % 0.37/0.89 (step @p2116 :rule cong :premises (@p2115 @p2114) :args ((= tptp.exuE2 @t1443))) % 0.37/0.89 (step @p2117 :rule cong :premises (@p1156 @p1580) :args (@t266)) % 0.37/0.89 (step @p2118 :rule cong :premises (@p2117) :args (@t267)) % 0.37/0.89 (step @p2119 :rule cong :premises (@p2115 @p2118) :args (@t268)) % 0.37/0.89 (step @p2120 :rule trans :premises (@p2119 @p2116)) % 0.37/0.89 (step @p2121 :rule eq_resolve :premises (@p42 @p2120)) % 0.37/0.89 (step @p2122 :rule cong :premises (@p2121 @p2086) :args (@t1444)) % 0.37/0.89 (step @p2123 :rule refl :args ((tptp.in @t4 @t259))) % 0.37/0.89 (step @p2124 :rule refl :args ((tptp.powerset @t43))) % 0.37/0.89 (step @p2125 :rule cong :premises (@p1248) :args (@t739)) % 0.37/0.89 (step @p2126 :rule trans :premises (@p2125 @p2124)) % 0.37/0.89 (step @p2127 :rule cong :premises (@p1897 @p2126) :args (@t740)) % 0.37/0.89 (step @p2128 :rule trans :premises (@p2127 @p2123)) % 0.37/0.89 (step @p2129 :rule ho_cong :premises (@p1931 @p2126)) % 0.37/0.89 (step @p2130 :rule cong :premises (@p2129 @p2128) :args ((= (_ @t5 @t739) @t740))) % 0.37/0.89 (step @p2131 :rule symm :premises (@p2130)) % 0.37/0.89 (step @p2132 :rule refl :args (@t260)) % 0.37/0.89 (step @p2133 :rule eq_resolve :premises (@p2132 @p2131)) % 0.37/0.89 (step @p2134 :rule refl :args (tptp.powerset)) % 0.37/0.89 (step @p2135 :rule ho_cong :premises (@p2134 @p1248)) % 0.37/0.89 (step @p2136 :rule cong :premises (@p2135 @p2126) :args ((= (_ tptp.powerset @t738) @t739))) % 0.37/0.89 (step @p2137 :rule symm :premises (@p2136)) % 0.37/0.89 (step @p2138 :rule refl :args (@t259)) % 0.37/0.89 (step @p2139 :rule eq_resolve :premises (@p2138 @p2137)) % 0.37/0.89 (step @p2140 :rule ho_cong :premises (@p2134 @p1252)) % 0.37/0.89 (step @p2141 :rule trans :premises (@p2140 @p2139)) % 0.37/0.89 (step @p2142 :rule ho_cong :premises (@p1931 @p2141)) % 0.37/0.89 (step @p2143 :rule trans :premises (@p2142 @p2133)) % 0.37/0.89 (step @p2144 :rule nary_cong :premises (@p661 @p2143) :args (@t1445)) % 0.37/0.89 (step @p2145 :rule cong :premises (@p2144) :args ((forall @t46 @t1445))) % 0.37/0.89 (step @p2146 :rule bool-impl-elim :args (@t7 @t260)) % 0.37/0.89 (step @p2147 :rule cong :premises (@p2146) :args (@t261)) % 0.37/0.89 (step @p2148 :rule trans :premises (@p2147 @p2145)) % 0.37/0.89 (step @p2149 :rule refl :args (tptp.subPowSU)) % 0.37/0.89 (step @p2150 :rule cong :premises (@p2149 @p2148) :args (@t262)) % 0.37/0.89 (step @p2151 :rule eq_resolve :premises (@p41 @p2150)) % 0.37/0.89 (step @p2152 :rule cong :premises (@p2151 @p2122) :args (@t1446)) % 0.37/0.89 (step @p2153 :rule refl :args (@t746)) % 0.37/0.89 (step @p2154 :rule refl :args ((tptp.in @t4 @t43))) % 0.37/0.89 (step @p2155 :rule cong :premises (@p1897 @p1248) :args (@t747)) % 0.37/0.89 (step @p2156 :rule trans :premises (@p2155 @p2154)) % 0.37/0.89 (step @p2157 :rule ho_cong :premises (@p1931 @p1248)) % 0.37/0.89 (step @p2158 :rule cong :premises (@p2157 @p2156) :args ((= (_ @t5 @t738) @t747))) % 0.37/0.89 (step @p2159 :rule symm :premises (@p2158)) % 0.37/0.89 (step @p2160 :rule refl :args (@t44)) % 0.37/0.89 (step @p2161 :rule eq_resolve :premises (@p2160 @p2159)) % 0.37/0.89 (step @p2162 :rule ho_cong :premises (@p1931 @p1252)) % 0.37/0.89 (step @p2163 :rule trans :premises (@p2162 @p2161)) % 0.37/0.89 (step @p2164 :rule cong :premises (@p2163) :args (@t1447)) % 0.37/0.89 (step @p2165 :rule nary_cong :premises (@p2164 @p2153) :args (@t1448)) % 0.37/0.89 (step @p2166 :rule cong :premises (@p2165) :args ((forall @t46 @t1448))) % 0.37/0.89 (step @p2167 :rule bool-impl-elim :args (@t44 @t746)) % 0.37/0.89 (step @p2168 :rule cong :premises (@p2167) :args ((forall @t46 (=> @t44 @t746)))) % 0.37/0.89 (step @p2169 :rule trans :premises (@p2168 @p2166)) % 0.37/0.89 (step @p2170 :rule aci_norm :args ((= (and true @t746) @t746))) % 0.37/0.89 (step @p2171 :rule refl :args (@t746)) % 0.37/0.89 (step @p2172 :rule evaluate :args (@t1449)) % 0.37/0.89 (step @p2173 :rule nary_cong :premises (@p2172 @p2171) :args (@t1450)) % 0.37/0.89 (step @p2174 :rule trans :premises (@p2173 @p2170)) % 0.37/0.89 (step @p2175 :rule aci_norm :args ((= @t1451 @t1450))) % 0.37/0.89 (step @p2176 :rule trans :premises (@p2175 @p2174)) % 0.37/0.89 (step @p2177 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1453 @t1452 @t173)) @t1451))) % 0.37/0.89 (step @p2178 :rule refl :args (@t173)) % 0.37/0.89 (step @p2179 :rule refl :args (@t1452)) % 0.37/0.89 (step @p2180 :rule bool-eq-false :args (@t173)) % 0.37/0.89 (step @p2181 :rule symm :premises (@p2180)) % 0.37/0.89 (step @p2182 :rule cong :premises (@p2181) :args ((not @t1371))) % 0.37/0.89 (step @p2183 :rule bool-double-not-elim :args (@t173)) % 0.37/0.89 (step @p2184 :rule symm :premises (@p2183)) % 0.37/0.89 (step @p2185 :rule trans :premises (@p2184 @p2182)) % 0.37/0.89 (step @p2186 :rule nary_cong :premises (@p2185 @p2179 @p2178) :args (@t1454)) % 0.37/0.89 (step @p2187 :rule aci_norm :args ((= @t1455 @t1454))) % 0.37/0.89 (step @p2188 :rule trans :premises (@p2187 @p2186)) % 0.37/0.89 (step @p2189 :rule cong :premises (@p2188) :args ((forall @t179 @t1455))) % 0.37/0.89 (step @p2190 :rule trans :premises (@p2189 @p2177)) % 0.37/0.89 (step @p2191 :rule trans :premises (@p2190 @p2176)) % 0.37/0.89 (step @p2192 :rule bool-or-de-morgan :args (@t173 @t745 false)) % 0.37/0.89 (step @p2193 :rule nary_cong :premises (@p2192 @p2178) :args ((or (not @t1456) @t173))) % 0.37/0.89 (step @p2194 :rule bool-impl-elim :args (@t1456 @t173)) % 0.37/0.89 (step @p2195 :rule trans :premises (@p2194 @p2193)) % 0.37/0.89 (step @p2196 :rule cong :premises (@p2195) :args ((forall @t179 (=> @t1456 @t173)))) % 0.37/0.89 (step @p2197 :rule trans :premises (@p2196 @p2191)) % 0.37/0.89 (step @p2198 :rule refl :args (@t173)) % 0.37/0.89 (step @p2199 :rule refl :args (@t743)) % 0.37/0.89 (step @p2200 :rule refl :args (@t39)) % 0.37/0.89 (step @p2201 :rule cong :premises (@p2200 @p2199) :args ((= @t39 @t743))) % 0.37/0.89 (step @p2202 :rule symm :premises (@p2201)) % 0.37/0.89 (step @p2203 :rule eq_resolve :premises (@p2200 @p2202)) % 0.37/0.89 (step @p2204 :rule cong :premises (@p2203) :args (@t1457)) % 0.37/0.89 (step @p2205 :rule cong :premises (@p655) :args (@t434)) % 0.37/0.89 (step @p2206 :rule nary_cong :premises (@p2205 @p2204) :args (@t1458)) % 0.37/0.89 (step @p2207 :rule cong :premises (@p2206) :args (@t1459)) % 0.37/0.89 (step @p2208 :rule nary_cong :premises (@p2198 @p2207) :args (@t1460)) % 0.37/0.89 (step @p2209 :rule quant-miniscope-or :args ((= (forall @t41 @t1461) @t1460))) % 0.37/0.89 (step @p2210 :rule aci_norm :args ((= @t1462 @t1461))) % 0.37/0.89 (step @p2211 :rule cong :premises (@p2210) :args ((forall @t41 @t1462))) % 0.37/0.89 (step @p2212 :rule trans :premises (@p2211 @p2209)) % 0.37/0.89 (step @p2213 :rule trans :premises (@p2212 @p2208)) % 0.37/0.89 (step @p2214 :rule aci_norm :args ((= (or @t434 (or @t1457 @t173)) @t1462))) % 0.37/0.89 (step @p2215 :rule bool-impl-elim :args (@t39 @t173)) % 0.37/0.89 (step @p2216 :rule refl :args (@t434)) % 0.37/0.89 (step @p2217 :rule nary_cong :premises (@p2216 @p2215) :args ((or @t434 @t252))) % 0.37/0.89 (step @p2218 :rule trans :premises (@p2217 @p2214)) % 0.37/0.89 (step @p2219 :rule bool-impl-elim :args (@t6 @t252)) % 0.37/0.89 (step @p2220 :rule trans :premises (@p2219 @p2218)) % 0.37/0.89 (step @p2221 :rule cong :premises (@p2220) :args (@t253)) % 0.37/0.89 (step @p2222 :rule trans :premises (@p2221 @p2213)) % 0.37/0.89 (step @p2223 :rule cong :premises (@p2222 @p2198) :args (@t254)) % 0.37/0.89 (step @p2224 :rule cong :premises (@p2223) :args (@t255)) % 0.37/0.89 (step @p2225 :rule trans :premises (@p2224 @p2197)) % 0.37/0.89 (step @p2226 :rule refl :args (@t44)) % 0.37/0.89 (step @p2227 :rule cong :premises (@p2226 @p2225) :args (@t256)) % 0.37/0.89 (step @p2228 :rule cong :premises (@p2227) :args (@t257)) % 0.37/0.89 (step @p2229 :rule trans :premises (@p2228 @p2169)) % 0.37/0.89 (step @p2230 :rule refl :args (tptp.setunionE)) % 0.37/0.89 (step @p2231 :rule cong :premises (@p2230 @p2229) :args (@t258)) % 0.37/0.89 (step @p2232 :rule eq_resolve :premises (@p40 @p2231)) % 0.37/0.89 (step @p2233 :rule cong :premises (@p2232 @p2152) :args (@t1463)) % 0.37/0.89 (step @p2234 :rule nary_cong :premises (@p2205 @p2204 @p2163) :args (@t1464)) % 0.37/0.89 (step @p2235 :rule cong :premises (@p2234) :args ((forall @t249 @t1464))) % 0.37/0.89 (step @p2236 :rule aci_norm :args ((= (or @t434 (or @t1457 @t44)) @t1464))) % 0.37/0.89 (step @p2237 :rule bool-impl-elim :args (@t39 @t44)) % 0.37/0.89 (step @p2238 :rule nary_cong :premises (@p2216 @p2237) :args ((or @t434 @t248))) % 0.37/0.89 (step @p2239 :rule trans :premises (@p2238 @p2236)) % 0.37/0.89 (step @p2240 :rule bool-impl-elim :args (@t6 @t248)) % 0.37/0.89 (step @p2241 :rule trans :premises (@p2240 @p2239)) % 0.37/0.89 (step @p2242 :rule cong :premises (@p2241) :args (@t250)) % 0.37/0.89 (step @p2243 :rule trans :premises (@p2242 @p2235)) % 0.37/0.89 (step @p2244 :rule refl :args (tptp.setunionI)) % 0.37/0.89 (step @p2245 :rule cong :premises (@p2244 @p2243) :args (@t251)) % 0.37/0.89 (step @p2246 :rule eq_resolve :premises (@p39 @p2245)) % 0.37/0.89 (step @p2247 :rule cong :premises (@p2246 @p2233) :args (@t1465)) % 0.37/0.89 (step @p2248 :rule nary_cong :premises (@p472 @p2205 @p660) :args (@t1466)) % 0.37/0.89 (step @p2249 :rule cong :premises (@p2248) :args ((forall @t245 @t1466))) % 0.37/0.89 (step @p2250 :rule aci_norm :args ((= (or @t1017 @t1467) @t1466))) % 0.37/0.89 (step @p2251 :rule bool-impl-elim :args (@t6 @t7)) % 0.37/0.89 (step @p2252 :rule refl :args (@t1017)) % 0.37/0.89 (step @p2253 :rule nary_cong :premises (@p2252 @p2251) :args ((or @t1017 @t31))) % 0.37/0.89 (step @p2254 :rule trans :premises (@p2253 @p2250)) % 0.37/0.89 (step @p2255 :rule bool-impl-elim :args (@t35 @t31)) % 0.37/0.89 (step @p2256 :rule trans :premises (@p2255 @p2254)) % 0.37/0.89 (step @p2257 :rule cong :premises (@p2256) :args (@t246)) % 0.37/0.89 (step @p2258 :rule trans :premises (@p2257 @p2249)) % 0.37/0.89 (step @p2259 :rule refl :args (tptp.powersetE)) % 0.37/0.89 (step @p2260 :rule cong :premises (@p2259 @p2258) :args (@t247)) % 0.37/0.89 (step @p2261 :rule eq_resolve :premises (@p38 @p2260)) % 0.37/0.89 (step @p2262 :rule cong :premises (@p2261 @p2247) :args (@t1468)) % 0.37/0.89 (step @p2263 :rule eq-symm :args (@t755 tptp.emptyInPowerset)) % 0.37/0.89 (step @p2264 :rule refl :args (tptp.emptyInPowerset)) % 0.37/0.89 (step @p2265 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 0.37/0.89 (step @p2266 :rule cong :premises (@p155 @p364) :args (@t754)) % 0.37/0.89 (step @p2267 :rule trans :premises (@p2266 @p2265)) % 0.37/0.89 (step @p2268 :rule ho_cong :premises (@p158 @p364)) % 0.37/0.89 (step @p2269 :rule cong :premises (@p2268 @p2267) :args ((= (_ @t49 @t592) @t754))) % 0.37/0.89 (step @p2270 :rule symm :premises (@p2269)) % 0.37/0.89 (step @p2271 :rule refl :args (@t242)) % 0.37/0.89 (step @p2272 :rule eq_resolve :premises (@p2271 @p2270)) % 0.37/0.89 (step @p2273 :rule ho_cong :premises (@p158 @p383)) % 0.37/0.89 (step @p2274 :rule trans :premises (@p2273 @p2272)) % 0.37/0.89 (step @p2275 :rule cong :premises (@p2274) :args (@t243)) % 0.37/0.89 (step @p2276 :rule cong :premises (@p2275 @p2264) :args ((= @t243 tptp.emptyInPowerset))) % 0.37/0.89 (step @p2277 :rule trans :premises (@p2276 @p2263)) % 0.37/0.89 (step @p2278 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 0.37/0.89 (step @p2279 :rule trans :premises (@p2278 @p2277)) % 0.37/0.89 (step @p2280 :rule eq_resolve :premises (@p37 @p2279)) % 0.37/0.89 (step @p2281 :rule cong :premises (@p2280 @p2262) :args (@t1469)) % 0.37/0.89 (step @p2282 :rule refl :args (tptp.emptyinPowerset)) % 0.37/0.89 (step @p2283 :rule cong :premises (@p2282 @p2275) :args (@t244)) % 0.37/0.89 (step @p2284 :rule eq_resolve :premises (@p36 @p2283)) % 0.37/0.89 (step @p2285 :rule cong :premises (@p2284 @p2281) :args (@t1470)) % 0.37/0.89 (step @p2286 :rule refl :args (@t759)) % 0.37/0.89 (step @p2287 :rule nary_cong :premises (@p2286 @p471) :args (@t1471)) % 0.37/0.89 (step @p2288 :rule cong :premises (@p2287) :args ((forall @t12 @t1471))) % 0.37/0.89 (step @p2289 :rule bool-impl-elim :args (@t758 @t35)) % 0.37/0.89 (step @p2290 :rule cong :premises (@p2289) :args ((forall @t12 (=> @t758 @t35)))) % 0.37/0.89 (step @p2291 :rule trans :premises (@p2290 @p2288)) % 0.37/0.89 (step @p2292 :rule refl :args (@t35)) % 0.37/0.89 (step @p2293 :rule nary_cong :premises (@p2205 @p660) :args (@t1467)) % 0.37/0.90 (step @p2294 :rule cong :premises (@p2293) :args ((forall @t9 @t1467))) % 0.37/0.90 (step @p2295 :rule cong :premises (@p2251) :args (@t32)) % 0.37/0.90 (step @p2296 :rule trans :premises (@p2295 @p2294)) % 0.37/0.90 (step @p2297 :rule cong :premises (@p2296 @p2292) :args (@t239)) % 0.37/0.90 (step @p2298 :rule cong :premises (@p2297) :args (@t240)) % 0.37/0.90 (step @p2299 :rule trans :premises (@p2298 @p2291)) % 0.37/0.90 (step @p2300 :rule refl :args (tptp.powersetI)) % 0.37/0.90 (step @p2301 :rule cong :premises (@p2300 @p2299) :args (@t241)) % 0.37/0.90 (step @p2302 :rule eq_resolve :premises (@p35 @p2301)) % 0.37/0.90 (step @p2303 :rule cong :premises (@p2302 @p2285) :args (@t1472)) % 0.37/0.90 (step @p2304 :rule refl :args (@t764)) % 0.37/0.90 (step @p2305 :rule refl :args (@t763)) % 0.37/0.90 (step @p2306 :rule cong :premises (@p368 @p2305) :args (@t764)) % 0.37/0.90 (step @p2307 :rule trans :premises (@p2306 @p2304)) % 0.37/0.90 (step @p2308 :rule ho_cong :premises (@p384 @p2305)) % 0.37/0.90 (step @p2309 :rule cong :premises (@p2308 @p2307) :args ((= @t1473 @t764))) % 0.37/0.90 (step @p2310 :rule symm :premises (@p2309)) % 0.37/0.90 (step @p2311 :rule refl :args ((_ @t155 @t763))) % 0.37/0.90 (step @p2312 :rule eq_resolve :premises (@p2311 @p2310)) % 0.37/0.90 (step @p2313 :rule cong :premises (@p368 @p2312) :args (@t1474)) % 0.37/0.90 (step @p2314 :rule cong :premises (@p2313) :args ((forall @t64 @t1474))) % 0.37/0.90 (step @p2315 :rule eq-symm :args (@t1473 @t2)) % 0.37/0.90 (step @p2316 :rule symm :premises (@p2305)) % 0.37/0.90 (step @p2317 :rule alpha_equiv :args (@t235 @t1139 (@list @t762))) % 0.37/0.90 (step @p2318 :rule trans :premises (@p2317 @p2316)) % 0.37/0.90 (step @p2319 :rule refl :args (@t155)) % 0.37/0.90 (step @p2320 :rule ho_cong :premises (@p2319 @p2318)) % 0.37/0.90 (step @p2321 :rule cong :premises (@p2320 @p359) :args (@t236)) % 0.37/0.90 (step @p2322 :rule trans :premises (@p2321 @p2315)) % 0.37/0.90 (step @p2323 :rule cong :premises (@p2322) :args (@t237)) % 0.37/0.90 (step @p2324 :rule trans :premises (@p2323 @p2314)) % 0.37/0.90 (step @p2325 :rule refl :args (tptp.setoftrueEq)) % 0.37/0.90 (step @p2326 :rule cong :premises (@p2325 @p2324) :args (@t238)) % 0.37/0.90 (step @p2327 :rule eq_resolve :premises (@p34 @p2326)) % 0.37/0.90 (step @p2328 :rule cong :premises (@p2327 @p2303) :args (@t1475)) % 0.37/0.90 (step @p2329 :rule refl :args (@t767)) % 0.37/0.90 (step @p2330 :rule refl :args (@t21)) % 0.37/0.90 (step @p2331 :rule cong :premises (@p2330 @p2329) :args ((= @t21 @t767))) % 0.37/0.90 (step @p2332 :rule symm :premises (@p2331)) % 0.37/0.90 (step @p2333 :rule eq_resolve :premises (@p2330 @p2332)) % 0.37/0.90 (step @p2334 :rule refl :args ((tptp.in @t19 @t25))) % 0.37/0.90 (step @p2335 :rule cong :premises (@p1900 @p569) :args (@t768)) % 0.37/0.90 (step @p2336 :rule trans :premises (@p2335 @p2334)) % 0.37/0.90 (step @p2337 :rule ho_cong :premises (@p1903 @p569)) % 0.37/0.90 (step @p2338 :rule cong :premises (@p2337 @p2336) :args ((= (_ @t20 @t606) @t768))) % 0.37/0.90 (step @p2339 :rule symm :premises (@p2338)) % 0.37/0.90 (step @p2340 :rule refl :args (@t26)) % 0.37/0.90 (step @p2341 :rule eq_resolve :premises (@p2340 @p2339)) % 0.37/0.90 (step @p2342 :rule ho_cong :premises (@p1903 @p580)) % 0.37/0.90 (step @p2343 :rule trans :premises (@p2342 @p2341)) % 0.37/0.90 (step @p2344 :rule cong :premises (@p2343) :args (@t1476)) % 0.37/0.90 (step @p2345 :rule nary_cong :premises (@p2344 @p1062 @p2333) :args (@t1477)) % 0.37/0.90 (step @p2346 :rule cong :premises (@p2345) :args ((forall @t28 @t1477))) % 0.37/0.90 (step @p2347 :rule aci_norm :args ((= (or @t1476 @t1478) @t1477))) % 0.37/0.90 (step @p2348 :rule bool-impl-elim :args (@t26 @t1478)) % 0.37/0.90 (step @p2349 :rule trans :premises (@p2348 @p2347)) % 0.37/0.90 (step @p2350 :rule cong :premises (@p2349) :args ((forall @t28 (=> @t26 @t1478)))) % 0.37/0.90 (step @p2351 :rule trans :premises (@p2350 @p2346)) % 0.37/0.90 (step @p2352 :rule refl :args (@t21)) % 0.37/0.90 (step @p2353 :rule nary_cong :premises (@p1568 @p2352) :args (@t23)) % 0.37/0.90 (step @p2354 :rule refl :args (@t26)) % 0.37/0.90 (step @p2355 :rule cong :premises (@p2354 @p2353) :args (@t232)) % 0.37/0.90 (step @p2356 :rule cong :premises (@p2355) :args (@t233)) % 0.37/0.90 (step @p2357 :rule trans :premises (@p2356 @p2351)) % 0.37/0.90 (step @p2358 :rule refl :args (tptp.setadjoinOr)) % 0.37/0.90 (step @p2359 :rule cong :premises (@p2358 @p2357) :args (@t234)) % 0.37/0.90 (step @p2360 :rule eq_resolve :premises (@p33 @p2359)) % 0.37/0.90 (step @p2361 :rule cong :premises (@p2360 @p2328) :args (@t1479)) % 0.37/0.90 (step @p2362 :rule refl :args (@t767)) % 0.37/0.90 (step @p2363 :rule nary_cong :premises (@p2344 @p1062 @p2362) :args (@t1480)) % 0.37/0.90 (step @p2364 :rule cong :premises (@p2363) :args ((forall @t28 @t1480))) % 0.37/0.90 (step @p2365 :rule aci_norm :args ((= (or @t1476 @t924) @t1480))) % 0.37/0.90 (step @p2366 :rule bool-impl-elim :args (@t26 @t924)) % 0.37/0.90 (step @p2367 :rule trans :premises (@p2366 @p2365)) % 0.37/0.90 (step @p2368 :rule cong :premises (@p2367) :args ((forall @t28 (=> @t26 @t924)))) % 0.37/0.90 (step @p2369 :rule trans :premises (@p2368 @p2364)) % 0.37/0.90 (step @p2370 :rule aci_norm :args ((= (and @t767 true) @t767))) % 0.37/0.90 (step @p2371 :rule refl :args (@t767)) % 0.37/0.90 (step @p2372 :rule nary_cong :premises (@p2371 @p2172) :args (@t1481)) % 0.37/0.90 (step @p2373 :rule trans :premises (@p2372 @p2370)) % 0.37/0.90 (step @p2374 :rule aci_norm :args ((= (and @t129 true) @t129))) % 0.37/0.90 (step @p2375 :rule nary_cong :premises (@p1066 @p2172) :args (@t1482)) % 0.37/0.90 (step @p2376 :rule trans :premises (@p2375 @p2374)) % 0.37/0.90 (step @p2377 :rule nary_cong :premises (@p2376 @p2373) :args (@t1483)) % 0.37/0.90 (step @p2378 :rule aci_norm :args ((= @t1484 @t1483))) % 0.37/0.90 (step @p2379 :rule trans :premises (@p2378 @p2377)) % 0.37/0.90 (step @p2380 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1453 @t1486 @t1485 @t173)) @t1484))) % 0.37/0.90 (step @p2381 :rule refl :args (@t1485)) % 0.37/0.90 (step @p2382 :rule refl :args (@t1486)) % 0.37/0.90 (step @p2383 :rule nary_cong :premises (@p2185 @p2382 @p2381 @p2178) :args (@t1487)) % 0.37/0.90 (step @p2384 :rule aci_norm :args ((= @t1488 @t1487))) % 0.37/0.90 (step @p2385 :rule trans :premises (@p2384 @p2383)) % 0.37/0.90 (step @p2386 :rule cong :premises (@p2385) :args ((forall @t179 @t1488))) % 0.37/0.90 (step @p2387 :rule trans :premises (@p2386 @p2380)) % 0.37/0.90 (step @p2388 :rule trans :premises (@p2387 @p2379)) % 0.37/0.90 (step @p2389 :rule nary_cong :premises (@p2333 @p1732) :args (@t1489)) % 0.37/0.90 (step @p2390 :rule nary_cong :premises (@p2382 @p2389 @p2178) :args (@t1490)) % 0.37/0.90 (step @p2391 :rule cong :premises (@p2390) :args ((forall @t179 @t1490))) % 0.37/0.90 (step @p2392 :rule trans :premises (@p2391 @p2388)) % 0.37/0.90 (step @p2393 :rule aci_norm :args ((= (or @t1486 (or @t1489 @t173)) @t1490))) % 0.37/0.90 (step @p2394 :rule bool-implies-de-morgan :args (@t21 @t173)) % 0.37/0.90 (step @p2395 :rule nary_cong :premises (@p2394 @p2178) :args ((or (not @t224) @t173))) % 0.37/0.90 (step @p2396 :rule bool-impl-elim :args (@t224 @t173)) % 0.37/0.90 (step @p2397 :rule trans :premises (@p2396 @p2395)) % 0.37/0.90 (step @p2398 :rule bool-implies-de-morgan :args (@t129 @t173)) % 0.37/0.90 (step @p2399 :rule nary_cong :premises (@p2398 @p2397) :args ((or (not @t1491) @t225))) % 0.37/0.90 (step @p2400 :rule trans :premises (@p2399 @p2393)) % 0.37/0.90 (step @p2401 :rule bool-impl-elim :args (@t1491 @t225)) % 0.37/0.90 (step @p2402 :rule trans :premises (@p2401 @p2400)) % 0.37/0.90 (step @p2403 :rule cong :premises (@p2402) :args ((forall @t179 (=> @t1491 @t225)))) % 0.37/0.90 (step @p2404 :rule trans :premises (@p2403 @p2392)) % 0.37/0.90 (step @p2405 :rule refl :args (@t225)) % 0.37/0.90 (step @p2406 :rule cong :premises (@p1568 @p2198) :args (@t226)) % 0.37/0.90 (step @p2407 :rule cong :premises (@p2406 @p2405) :args (@t227)) % 0.37/0.90 (step @p2408 :rule cong :premises (@p2407) :args (@t228)) % 0.37/0.90 (step @p2409 :rule trans :premises (@p2408 @p2404)) % 0.37/0.90 (step @p2410 :rule cong :premises (@p2354 @p2409) :args (@t229)) % 0.37/0.90 (step @p2411 :rule cong :premises (@p2410) :args (@t230)) % 0.37/0.90 (step @p2412 :rule trans :premises (@p2411 @p2369)) % 0.37/0.90 (step @p2413 :rule refl :args (tptp.setadjoinE)) % 0.37/0.90 (step @p2414 :rule cong :premises (@p2413 @p2412) :args (@t231)) % 0.37/0.90 (step @p2415 :rule eq_resolve :premises (@p32 @p2414)) % 0.37/0.90 (step @p2416 :rule cong :premises (@p2415 @p2361) :args (@t1492)) % 0.37/0.90 (step @p2417 :rule cong :premises (@p2333) :args (@t1493)) % 0.37/0.90 (step @p2418 :rule nary_cong :premises (@p2417 @p2343) :args (@t1494)) % 0.37/0.90 (step @p2419 :rule cong :premises (@p2418) :args ((forall @t28 @t1494))) % 0.37/0.90 (step @p2420 :rule bool-impl-elim :args (@t21 @t26)) % 0.37/0.90 (step @p2421 :rule cong :premises (@p2420) :args (@t222)) % 0.37/0.90 (step @p2422 :rule trans :premises (@p2421 @p2419)) % 0.37/0.90 (step @p2423 :rule refl :args (tptp.setadjoinIR)) % 0.37/0.90 (step @p2424 :rule cong :premises (@p2423 @p2422) :args (@t223)) % 0.37/0.90 (step @p2425 :rule eq_resolve :premises (@p31 @p2424)) % 0.37/0.90 (step @p2426 :rule cong :premises (@p2425 @p2416) :args (@t1495)) % 0.37/0.90 (step @p2427 :rule cong :premises (@p30 @p2426) :args (@t1496)) % 0.37/0.90 (step @p2428 :rule refl :args ((tptp.in @t4 @t216))) % 0.37/0.90 (step @p2429 :rule refl :args (@t778)) % 0.37/0.90 (step @p2430 :rule cong :premises (@p1897 @p2429) :args (@t779)) % 0.37/0.90 (step @p2431 :rule trans :premises (@p2430 @p2428)) % 0.37/0.90 (step @p2432 :rule ho_cong :premises (@p1931 @p2429)) % 0.37/0.90 (step @p2433 :rule cong :premises (@p2432 @p2431) :args ((= (_ @t5 @t778) @t779))) % 0.37/0.90 (step @p2434 :rule symm :premises (@p2433)) % 0.37/0.90 (step @p2435 :rule refl :args (@t217)) % 0.37/0.90 (step @p2436 :rule eq_resolve :premises (@p2435 @p2434)) % 0.37/0.90 (step @p2437 :rule refl :args (@t216)) % 0.37/0.90 (step @p2438 :rule cong :premises (@p2437 @p2429) :args ((= @t216 @t778))) % 0.37/0.90 (step @p2439 :rule symm :premises (@p2438)) % 0.37/0.90 (step @p2440 :rule eq_resolve :premises (@p2437 @p2439)) % 0.37/0.90 (step @p2441 :rule ho_cong :premises (@p1931 @p2440)) % 0.37/0.90 (step @p2442 :rule trans :premises (@p2441 @p2436)) % 0.37/0.90 (step @p2443 :rule cong :premises (@p2442) :args (@t218)) % 0.37/0.90 (step @p2444 :rule refl :args (tptp.setadjoinIL)) % 0.37/0.90 (step @p2445 :rule cong :premises (@p2444 @p2443) :args (@t219)) % 0.37/0.90 (step @p2446 :rule eq_resolve :premises (@p29 @p2445)) % 0.37/0.90 (step @p2447 :rule cong :premises (@p2446 @p2427) :args (@t1497)) % 0.37/0.90 (step @p2448 :rule aci_norm :args ((= (or @t783 false) @t783))) % 0.37/0.90 (step @p2449 :rule cong :premises (@p1373) :args (@t1498)) % 0.37/0.90 (step @p2450 :rule trans :premises (@p2449 @p630)) % 0.37/0.90 (step @p2451 :rule refl :args (@t783)) % 0.37/0.90 (step @p2452 :rule nary_cong :premises (@p2451 @p2450) :args (@t1499)) % 0.37/0.90 (step @p2453 :rule trans :premises (@p2452 @p2448)) % 0.37/0.90 (step @p2454 :rule cong :premises (@p2453) :args ((forall @t784 @t1499))) % 0.37/0.90 (step @p2455 :rule quant-var-elim-eq :args ((= (forall @t64 @t1501) @t1499))) % 0.37/0.90 (step @p2456 :rule aci_norm :args ((= @t1502 @t1501))) % 0.37/0.90 (step @p2457 :rule cong :premises (@p2456) :args (@t1503)) % 0.37/0.90 (step @p2458 :rule trans :premises (@p2457 @p2455)) % 0.37/0.90 (step @p2459 :rule cong :premises (@p2458) :args (@t1504)) % 0.37/0.90 (step @p2460 :rule quant-merge-prenex :args ((= @t1504 @t1505))) % 0.37/0.90 (step @p2461 :rule symm :premises (@p2460)) % 0.37/0.90 (step @p2462 :rule quant_var_reordering :args ((= @t1506 @t1505))) % 0.37/0.90 (step @p2463 :rule trans :premises (@p2462 @p2461 @p2459)) % 0.37/0.90 (step @p2464 :rule trans :premises (@p2463 @p2454)) % 0.37/0.90 (step @p2465 :rule quant-merge-prenex :args ((= (forall @t64 @t1507) @t1506))) % 0.37/0.90 (step @p2466 :rule refl :args (@t1425)) % 0.37/0.90 (step @p2467 :rule alpha_equiv :args (@t1508 (@list @t782) @t1139)) % 0.37/0.90 (step @p2468 :rule nary_cong :premises (@p2467 @p2466) :args (@t1509)) % 0.37/0.90 (step @p2469 :rule quant-miniscope-or :args ((= @t1507 @t1509))) % 0.37/0.90 (step @p2470 :rule trans :premises (@p2469 @p2468)) % 0.37/0.90 (step @p2471 :rule symm :premises (@p2470)) % 0.37/0.90 (step @p2472 :rule cong :premises (@p2471) :args ((forall @t64 (or @t726 @t1425)))) % 0.37/0.90 (step @p2473 :rule trans :premises (@p2472 @p2465)) % 0.37/0.90 (step @p2474 :rule trans :premises (@p2473 @p2464)) % 0.37/0.90 (step @p2475 :rule bool-double-not-elim :args (@t726)) % 0.37/0.90 (step @p2476 :rule nary_cong :premises (@p2475 @p2466) :args ((or @t1510 @t1425))) % 0.37/0.90 (step @p2477 :rule bool-impl-elim :args (@t727 @t1425)) % 0.37/0.90 (step @p2478 :rule trans :premises (@p2477 @p2476)) % 0.37/0.90 (step @p2479 :rule cong :premises (@p2478) :args ((forall @t64 (=> @t727 @t1425)))) % 0.37/0.90 (step @p2480 :rule trans :premises (@p2479 @p2474)) % 0.37/0.90 (step @p2481 :rule cong :premises (@p2069 @p2073) :args (@t1511)) % 0.37/0.90 (step @p2482 :rule cong :premises (@p2481) :args (@t1512)) % 0.37/0.90 (step @p2483 :rule trans :premises (@p2482 @p2480)) % 0.37/0.90 (step @p2484 :rule refl :args (tptp.nonemptyI1)) % 0.37/0.90 (step @p2485 :rule cong :premises (@p2484 @p2483) :args ((= tptp.nonemptyI1 @t1512))) % 0.37/0.90 (step @p2486 :rule refl :args (@t89)) % 0.37/0.90 (step @p2487 :rule cong :premises (@p2486 @p2080) :args (@t213)) % 0.37/0.90 (step @p2488 :rule cong :premises (@p2487) :args (@t214)) % 0.37/0.90 (step @p2489 :rule cong :premises (@p2484 @p2488) :args (@t215)) % 0.37/0.90 (step @p2490 :rule trans :premises (@p2489 @p2485)) % 0.37/0.90 (step @p2491 :rule eq_resolve :premises (@p28 @p2490)) % 0.37/0.90 (step @p2492 :rule cong :premises (@p2491 @p2447) :args (@t1513)) % 0.37/0.90 (step @p2493 :rule lambda-elim :args ((= @t1514 @t143))) % 0.37/0.90 (step @p2494 :rule cong :premises (@p359 @p2493) :args (@t1515)) % 0.37/0.90 (step @p2495 :rule cong :premises (@p108 @p2494) :args (@t1516)) % 0.37/0.90 (step @p2496 :rule cong :premises (@p2495) :args (@t1517)) % 0.37/0.90 (step @p2497 :rule refl :args (@t668)) % 0.37/0.90 (step @p2498 :rule refl :args (@t616)) % 0.37/0.90 (step @p2499 :rule nary_cong :premises (@p2498 @p2497 @p2496) :args (@t1518)) % 0.37/0.90 (step @p2500 :rule cong :premises (@p2499) :args ((forall @t159 @t1518))) % 0.37/0.90 (step @p2501 :rule refl :args ((tptp.dsetconstr @t2 @t154))) % 0.37/0.90 (step @p2502 :rule cong :premises (@p1086) :args (@t1514)) % 0.37/0.90 (step @p2503 :rule cong :premises (@p368 @p2502) :args (@t1515)) % 0.37/0.90 (step @p2504 :rule trans :premises (@p2503 @p2501)) % 0.37/0.90 (step @p2505 :rule ho_cong :premises (@p384 @p2502)) % 0.37/0.90 (step @p2506 :rule cong :premises (@p2505 @p2504) :args ((= (_ @t155 @t1514) @t1515))) % 0.37/0.90 (step @p2507 :rule symm :premises (@p2506)) % 0.37/0.90 (step @p2508 :rule refl :args (@t156)) % 0.37/0.90 (step @p2509 :rule eq_resolve :premises (@p2508 @p2507)) % 0.37/0.90 (step @p2510 :rule cong :premises (@p1090) :args (@t154)) % 0.37/0.90 (step @p2511 :rule ho_cong :premises (@p384 @p2510)) % 0.37/0.90 (step @p2512 :rule trans :premises (@p2511 @p2509)) % 0.37/0.90 (step @p2513 :rule cong :premises (@p155 @p2512) :args (@t1519)) % 0.37/0.90 (step @p2514 :rule cong :premises (@p2513) :args (@t1520)) % 0.37/0.90 (step @p2515 :rule nary_cong :premises (@p661 @p1083 @p2514) :args (@t1521)) % 0.37/0.90 (step @p2516 :rule cong :premises (@p2515) :args ((forall @t159 @t1521))) % 0.37/0.90 (step @p2517 :rule trans :premises (@p2516 @p2500)) % 0.37/0.90 (step @p2518 :rule aci_norm :args ((= (or @t197 (or @t315 @t1520)) @t1521))) % 0.37/0.90 (step @p2519 :rule bool-impl-elim :args (@t144 @t1520)) % 0.37/0.90 (step @p2520 :rule nary_cong :premises (@p670 @p2519) :args ((or @t197 @t1522))) % 0.37/0.90 (step @p2521 :rule trans :premises (@p2520 @p2518)) % 0.37/0.90 (step @p2522 :rule bool-impl-elim :args (@t7 @t1522)) % 0.37/0.90 (step @p2523 :rule trans :premises (@p2522 @p2521)) % 0.37/0.90 (step @p2524 :rule cong :premises (@p2523) :args ((forall @t159 (=> @t7 @t1522)))) % 0.37/0.90 (step @p2525 :rule trans :premises (@p2524 @p2517)) % 0.37/0.90 (step @p2526 :rule eq-symm :args (@t156 tptp.emptyset)) % 0.37/0.90 (step @p2527 :rule cong :premises (@p2526) :args (@t1523)) % 0.37/0.90 (step @p2528 :rule beta-reduce :args ((= @t1524 @t1523))) % 0.37/0.90 (step @p2529 :rule trans :premises (@p2528 @p2527)) % 0.37/0.90 (step @p2530 :rule cong :premises (@p1147 @p2529) :args (@t1525)) % 0.37/0.90 (step @p2531 :rule cong :premises (@p956 @p2530) :args (@t1526)) % 0.37/0.90 (step @p2532 :rule cong :premises (@p2531) :args (@t1527)) % 0.37/0.90 (step @p2533 :rule trans :premises (@p2532 @p2525)) % 0.37/0.90 (step @p2534 :rule refl :args (tptp.nonemptyI)) % 0.37/0.90 (step @p2535 :rule cong :premises (@p2534 @p2533) :args ((= tptp.nonemptyI @t1527))) % 0.37/0.90 (step @p2536 :rule refl :args (@t156)) % 0.37/0.90 (step @p2537 :rule ho_cong :premises (@p101 @p2536)) % 0.37/0.90 (step @p2538 :rule cong :premises (@p1147 @p2537) :args (@t209)) % 0.37/0.90 (step @p2539 :rule cong :premises (@p956 @p2538) :args (@t210)) % 0.37/0.90 (step @p2540 :rule cong :premises (@p2539) :args (@t211)) % 0.37/0.90 (step @p2541 :rule cong :premises (@p2534 @p2540) :args (@t212)) % 0.37/0.90 (step @p2542 :rule trans :premises (@p2541 @p2535)) % 0.37/0.90 (step @p2543 :rule eq_resolve :premises (@p27 @p2542)) % 0.37/0.90 (step @p2544 :rule cong :premises (@p2543 @p2492) :args (@t1528)) % 0.37/0.90 (step @p2545 :rule cong :premises (@p2073 @p2069) :args (@t1529)) % 0.37/0.90 (step @p2546 :rule cong :premises (@p2545) :args (@t1530)) % 0.37/0.90 (step @p2547 :rule trans :premises (@p2546 @p2065)) % 0.37/0.90 (step @p2548 :rule refl :args (tptp.nonemptyE1)) % 0.37/0.90 (step @p2549 :rule cong :premises (@p2548 @p2547) :args ((= tptp.nonemptyE1 @t1530))) % 0.37/0.90 (step @p2550 :rule cong :premises (@p2080 @p2486) :args (@t206)) % 0.37/0.90 (step @p2551 :rule cong :premises (@p2550) :args (@t207)) % 0.37/0.90 (step @p2552 :rule cong :premises (@p2548 @p2551) :args (@t208)) % 0.37/0.90 (step @p2553 :rule trans :premises (@p2552 @p2549)) % 0.37/0.90 (step @p2554 :rule eq_resolve :premises (@p26 @p2553)) % 0.37/0.90 (step @p2555 :rule cong :premises (@p2554 @p2544) :args (@t1531)) % 0.37/0.90 (step @p2556 :rule refl :args (@t4)) % 0.37/0.90 (step @p2557 :rule cong :premises (@p2556 @p2494) :args (@t1532)) % 0.37/0.90 (step @p2558 :rule refl :args (@t667)) % 0.37/0.90 (step @p2559 :rule cong :premises (@p2558 @p2557) :args (@t1533)) % 0.37/0.90 (step @p2560 :rule nary_cong :premises (@p2498 @p2559) :args (@t1534)) % 0.37/0.90 (step @p2561 :rule cong :premises (@p2560) :args ((forall @t159 @t1534))) % 0.37/0.90 (step @p2562 :rule refl :args ((tptp.in @t4 @t156))) % 0.37/0.90 (step @p2563 :rule cong :premises (@p1897 @p2504) :args (@t1532)) % 0.37/0.90 (step @p2564 :rule trans :premises (@p2563 @p2562)) % 0.37/0.90 (step @p2565 :rule ho_cong :premises (@p1931 @p2504)) % 0.37/0.90 (step @p2566 :rule cong :premises (@p2565 @p2564) :args ((= (_ @t5 @t1515) @t1532))) % 0.37/0.90 (step @p2567 :rule symm :premises (@p2566)) % 0.37/0.90 (step @p2568 :rule refl :args (@t157)) % 0.37/0.90 (step @p2569 :rule eq_resolve :premises (@p2568 @p2567)) % 0.37/0.90 (step @p2570 :rule ho_cong :premises (@p1931 @p2512)) % 0.37/0.90 (step @p2571 :rule trans :premises (@p2570 @p2569)) % 0.37/0.90 (step @p2572 :rule cong :premises (@p393 @p2571) :args (@t1535)) % 0.37/0.90 (step @p2573 :rule nary_cong :premises (@p661 @p2572) :args (@t1536)) % 0.37/0.90 (step @p2574 :rule cong :premises (@p2573) :args ((forall @t159 @t1536))) % 0.37/0.90 (step @p2575 :rule trans :premises (@p2574 @p2561)) % 0.37/0.90 (step @p2576 :rule bool-impl-elim :args (@t7 @t1535)) % 0.37/0.90 (step @p2577 :rule cong :premises (@p2576) :args ((forall @t159 (=> @t7 @t1535)))) % 0.37/0.90 (step @p2578 :rule trans :premises (@p2577 @p2575)) % 0.37/0.90 (step @p2579 :rule eq-symm :args (@t157 @t144)) % 0.37/0.90 (step @p2580 :rule cong :premises (@p956 @p2579) :args (@t202)) % 0.37/0.90 (step @p2581 :rule cong :premises (@p2580) :args (@t203)) % 0.37/0.90 (step @p2582 :rule trans :premises (@p2581 @p2578)) % 0.37/0.90 (step @p2583 :rule refl :args (tptp.setbeta)) % 0.37/0.90 (step @p2584 :rule cong :premises (@p2583 @p2582) :args (@t204)) % 0.37/0.90 (step @p2585 :rule eq_resolve :premises (@p25 @p2584)) % 0.37/0.90 (step @p2586 :rule cong :premises (@p2585 @p2555) :args (@t1537)) % 0.37/0.90 (step @p2587 :rule eq-symm :args (@t793 tptp.noeltsimpempty)) % 0.37/0.90 (step @p2588 :rule refl :args (tptp.noeltsimpempty)) % 0.37/0.90 (step @p2589 :rule bool-impl-elim :args (@t726 @t196)) % 0.37/0.90 (step @p2590 :rule cong :premises (@p2589) :args ((forall @t64 (=> @t726 @t196)))) % 0.37/0.90 (step @p2591 :rule refl :args (@t196)) % 0.37/0.90 (step @p2592 :rule cong :premises (@p2066 @p2591) :args (@t199)) % 0.37/0.90 (step @p2593 :rule cong :premises (@p2592) :args (@t200)) % 0.37/0.90 (step @p2594 :rule trans :premises (@p2593 @p2590)) % 0.37/0.90 (step @p2595 :rule cong :premises (@p2594 @p2588) :args ((= @t200 tptp.noeltsimpempty))) % 0.37/0.90 (step @p2596 :rule trans :premises (@p2595 @p2587)) % 0.37/0.90 (step @p2597 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 0.37/0.90 (step @p2598 :rule trans :premises (@p2597 @p2596)) % 0.37/0.90 (step @p2599 :rule eq_resolve :premises (@p24 @p2598)) % 0.37/0.90 (step @p2600 :rule cong :premises (@p2599 @p2586) :args (@t1538)) % 0.37/0.90 (step @p2601 :rule refl :args (tptp.emptyI)) % 0.37/0.90 (step @p2602 :rule cong :premises (@p2601 @p2594) :args (@t201)) % 0.37/0.90 (step @p2603 :rule eq_resolve :premises (@p23 @p2602)) % 0.37/0.90 (step @p2604 :rule cong :premises (@p2603 @p2600) :args (@t1539)) % 0.37/0.90 (step @p2605 :rule aci_norm :args ((= (or @t623 (or @t759 @t3)) @t796))) % 0.74/0.90 (step @p2606 :rule bool-impl-elim :args (@t758 @t3)) % 0.74/0.90 (step @p2607 :rule nary_cong :premises (@p769 @p2606) :args ((or @t623 @t1540))) % 0.74/0.90 (step @p2608 :rule trans :premises (@p2607 @p2605)) % 0.74/0.90 (step @p2609 :rule bool-impl-elim :args (@t622 @t1540)) % 0.74/0.90 (step @p2610 :rule trans :premises (@p2609 @p2608)) % 0.74/0.90 (step @p2611 :rule cong :premises (@p2610) :args ((forall @t12 (=> @t622 @t1540)))) % 0.74/0.90 (step @p2612 :rule cong :premises (@p2296 @p963) :args (@t190)) % 0.74/0.90 (step @p2613 :rule cong :premises (@p779 @p2612) :args (@t193)) % 0.74/0.90 (step @p2614 :rule cong :premises (@p2613) :args (@t194)) % 0.74/0.90 (step @p2615 :rule trans :premises (@p2614 @p2611)) % 0.74/0.90 (step @p2616 :rule refl :args (tptp.setext)) % 0.74/0.90 (step @p2617 :rule cong :premises (@p2616 @p2615) :args (@t195)) % 0.74/0.90 (step @p2618 :rule eq_resolve :premises (@p22 @p2617)) % 0.74/0.90 (step @p2619 :rule cong :premises (@p2618 @p2604) :args (@t1541)) % 0.74/0.90 (step @p2620 :rule eq-symm :args (@t799 @t19)) % 0.74/0.90 (step @p2621 :rule nary_cong :premises (@p978 @p2620) :args (@t1542)) % 0.74/0.90 (step @p2622 :rule cong :premises (@p2621) :args (@t1543)) % 0.74/0.90 (step @p2623 :rule cong :premises (@p2622) :args (@t1544)) % 0.74/0.90 (step @p2624 :rule refl :args (@t800)) % 0.74/0.90 (step @p2625 :rule refl :args (@t802)) % 0.74/0.90 (step @p2626 :rule nary_cong :premises (@p2625 @p2624 @p2623) :args (@t1545)) % 0.74/0.90 (step @p2627 :rule aci_norm :args ((= @t1547 @t1545))) % 0.74/0.90 (step @p2628 :rule trans :premises (@p2627 @p2626)) % 0.74/0.90 (step @p2629 :rule cong :premises (@p2628) :args (@t1548)) % 0.74/0.90 (step @p2630 :rule quant-merge-prenex :args ((= (forall @t150 @t1550) @t1548))) % 0.74/0.90 (step @p2631 :rule refl :args (@t802)) % 0.74/0.90 (step @p2632 :rule alpha_equiv :args (@t1551 (@list @t799) @t1139)) % 0.74/0.90 (step @p2633 :rule nary_cong :premises (@p2632 @p2631) :args (@t1552)) % 0.74/0.90 (step @p2634 :rule quant-miniscope-or :args ((= @t1550 @t1552))) % 0.74/0.90 (step @p2635 :rule trans :premises (@p2634 @p2633)) % 0.74/0.90 (step @p2636 :rule symm :premises (@p2635)) % 0.74/0.90 (step @p2637 :rule cong :premises (@p2636) :args ((forall @t150 (or @t669 @t802)))) % 0.74/0.90 (step @p2638 :rule trans :premises (@p2637 @p2630)) % 0.74/0.90 (step @p2639 :rule trans :premises (@p2638 @p2629)) % 0.74/0.90 (step @p2640 :rule nary_cong :premises (@p1046 @p2631) :args ((or @t1149 @t802))) % 0.74/0.90 (step @p2641 :rule bool-impl-elim :args (@t670 @t802)) % 0.74/0.90 (step @p2642 :rule trans :premises (@p2641 @p2640)) % 0.74/0.90 (step @p2643 :rule cong :premises (@p2642) :args ((forall @t150 (=> @t670 @t802)))) % 0.74/0.90 (step @p2644 :rule trans :premises (@p2643 @p2639)) % 0.74/0.90 (step @p2645 :rule cong :premises (@p1107 @p1613) :args (@t1553)) % 0.74/0.90 (step @p2646 :rule cong :premises (@p2645) :args (@t1554)) % 0.74/0.90 (step @p2647 :rule trans :premises (@p2646 @p2644)) % 0.74/0.90 (step @p2648 :rule refl :args (tptp.exuE3e)) % 0.74/0.90 (step @p2649 :rule cong :premises (@p2648 @p2647) :args ((= tptp.exuE3e @t1554))) % 0.74/0.90 (step @p2650 :rule cong :premises (@p1156 @p1620) :args (@t187)) % 0.74/0.90 (step @p2651 :rule cong :premises (@p2650) :args (@t188)) % 0.74/0.90 (step @p2652 :rule cong :premises (@p2648 @p2651) :args (@t189)) % 0.74/0.90 (step @p2653 :rule trans :premises (@p2652 @p2649)) % 0.74/0.90 (step @p2654 :rule eq_resolve :premises (@p21 @p2653)) % 0.74/0.90 (step @p2655 :rule cong :premises (@p2654 @p2619) :args (@t1555)) % 0.74/0.90 (step @p2656 :rule eq-symm :args (@t806 tptp.notinemptyset)) % 0.74/0.90 (step @p2657 :rule refl :args (tptp.notinemptyset)) % 0.74/0.90 (step @p2658 :rule cong :premises (@p1842) :args (@t17)) % 0.74/0.90 (step @p2659 :rule cong :premises (@p2658 @p2657) :args ((= @t17 tptp.notinemptyset))) % 0.74/0.90 (step @p2660 :rule trans :premises (@p2659 @p2656)) % 0.74/0.90 (step @p2661 :rule eq-symm :args (tptp.notinemptyset @t17)) % 0.74/0.90 (step @p2662 :rule trans :premises (@p2661 @p2660)) % 0.74/0.90 (step @p2663 :rule eq_resolve :premises (@p20 @p2662)) % 0.74/0.90 (step @p2664 :rule cong :premises (@p2663 @p2655) :args (@t1556)) % 0.74/0.90 (step @p2665 :rule bool-impl-false1 :args (@t15)) % 0.74/0.90 (step @p2666 :rule cong :premises (@p2665) :args (@t184)) % 0.74/0.90 (step @p2667 :rule trans :premises (@p2666 @p2658)) % 0.74/0.90 (step @p2668 :rule refl :args (tptp.emptysetimpfalse)) % 0.74/0.90 (step @p2669 :rule cong :premises (@p2668 @p2667) :args (@t185)) % 0.74/0.90 (step @p2670 :rule eq_resolve :premises (@p19 @p2669)) % 0.74/0.90 (step @p2671 :rule cong :premises (@p2670 @p2664) :args (@t1557)) % 0.74/0.90 (step @p2672 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1453 @t173)) false))) % 0.74/0.90 (step @p2673 :rule nary_cong :premises (@p2185 @p2178) :args (@t1558)) % 0.74/0.90 (step @p2674 :rule aci_norm :args ((= @t173 @t1558))) % 0.74/0.90 (step @p2675 :rule trans :premises (@p2674 @p2673)) % 0.74/0.90 (step @p2676 :rule cong :premises (@p2675) :args (@t180)) % 0.74/0.90 (step @p2677 :rule trans :premises (@p2676 @p2672)) % 0.74/0.90 (step @p2678 :rule refl :args (@t15)) % 0.74/0.90 (step @p2679 :rule cong :premises (@p2678 @p2677) :args (@t181)) % 0.74/0.90 (step @p2680 :rule trans :premises (@p2679 @p2665)) % 0.74/0.90 (step @p2681 :rule cong :premises (@p2680) :args (@t182)) % 0.74/0.90 (step @p2682 :rule trans :premises (@p2681 @p2658)) % 0.74/0.90 (step @p2683 :rule refl :args (tptp.emptysetE)) % 0.74/0.90 (step @p2684 :rule cong :premises (@p2683 @p2682) :args (@t183)) % 0.74/0.90 (step @p2685 :rule eq_resolve :premises (@p18 @p2684)) % 0.74/0.90 (step @p2686 :rule cong :premises (@p2685 @p2671) :args (@t1559)) % 0.74/0.90 (step @p2687 :rule aci_norm :args ((= @t1560 @t810))) % 0.74/0.90 (step @p2688 :rule cong :premises (@p2687) :args ((forall @t9 @t1560))) % 0.74/0.90 (step @p2689 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1453 @t1562 @t173)) @t1560))) % 0.74/0.90 (step @p2690 :rule refl :args (@t1562)) % 0.74/0.90 (step @p2691 :rule nary_cong :premises (@p2185 @p2690 @p2178) :args (@t1563)) % 0.74/0.90 (step @p2692 :rule aci_norm :args ((= @t1564 @t1563))) % 0.74/0.90 (step @p2693 :rule trans :premises (@p2692 @p2691)) % 0.74/0.90 (step @p2694 :rule cong :premises (@p2693) :args (@t1565)) % 0.74/0.90 (step @p2695 :rule trans :premises (@p2694 @p2689)) % 0.74/0.90 (step @p2696 :rule cong :premises (@p2695) :args (@t1566)) % 0.74/0.90 (step @p2697 :rule quant-merge-prenex :args ((= @t1566 @t1567))) % 0.74/0.90 (step @p2698 :rule symm :premises (@p2697)) % 0.74/0.90 (step @p2699 :rule quant_var_reordering :args ((= (forall @t176 @t1564) @t1567))) % 0.74/0.90 (step @p2700 :rule trans :premises (@p2699 @p2698 @p2696)) % 0.74/0.90 (step @p2701 :rule trans :premises (@p2700 @p2688)) % 0.74/0.90 (step @p2702 :rule refl :args ((tptp.in @t4 @t174))) % 0.74/0.90 (step @p2703 :rule cong :premises (@p1897 @p1743) :args (@t1561)) % 0.74/0.90 (step @p2704 :rule trans :premises (@p2703 @p2702)) % 0.74/0.90 (step @p2705 :rule ho_cong :premises (@p1931 @p1743)) % 0.74/0.90 (step @p2706 :rule cong :premises (@p2705 @p2704) :args ((= (_ @t5 @t1369) @t1561))) % 0.74/0.90 (step @p2707 :rule symm :premises (@p2706)) % 0.74/0.90 (step @p2708 :rule refl :args (@t175)) % 0.74/0.90 (step @p2709 :rule eq_resolve :premises (@p2708 @p2707)) % 0.74/0.90 (step @p2710 :rule ho_cong :premises (@p1931 @p1755)) % 0.74/0.90 (step @p2711 :rule trans :premises (@p2710 @p2709)) % 0.74/0.90 (step @p2712 :rule cong :premises (@p2711) :args (@t1568)) % 0.74/0.90 (step @p2713 :rule nary_cong :premises (@p2712 @p2178) :args (@t1569)) % 0.74/0.90 (step @p2714 :rule cong :premises (@p2713) :args ((forall @t176 @t1569))) % 0.74/0.90 (step @p2715 :rule trans :premises (@p2714 @p2701)) % 0.74/0.90 (step @p2716 :rule bool-impl-elim :args (@t175 @t173)) % 0.74/0.90 (step @p2717 :rule cong :premises (@p2716) :args (@t177)) % 0.74/0.90 (step @p2718 :rule trans :premises (@p2717 @p2715)) % 0.74/0.90 (step @p2719 :rule refl :args (tptp.prop2setE)) % 0.74/0.90 (step @p2720 :rule cong :premises (@p2719 @p2718) :args (@t178)) % 0.74/0.90 (step @p2721 :rule eq_resolve :premises (@p17 @p2720)) % 0.74/0.90 (step @p2722 :rule cong :premises (@p2721 @p2686) :args (@t1570)) % 0.74/0.90 (step @p2723 :rule bool-eq-true :args (tptp.exuE1)) % 0.74/0.90 (step @p2724 :rule symm :premises (@p2723)) % 0.74/0.90 (step @p2725 :rule cong :premises (@p1107 @p1150) :args (@t1571)) % 0.74/0.90 (step @p2726 :rule cong :premises (@p2725) :args (@t1572)) % 0.74/0.90 (step @p2727 :rule trans :premises (@p2726 @p1636)) % 0.74/0.90 (step @p2728 :rule refl :args (tptp.exuE1)) % 0.74/0.90 (step @p2729 :rule cong :premises (@p2728 @p2727) :args ((= tptp.exuE1 @t1572))) % 0.74/0.90 (step @p2730 :rule trans :premises (@p2729 @p2723)) % 0.74/0.90 (step @p2731 :rule cong :premises (@p1156 @p1643) :args (@t170)) % 0.74/0.90 (step @p2732 :rule cong :premises (@p2731) :args (@t171)) % 0.74/0.90 (step @p2733 :rule cong :premises (@p2728 @p2732) :args (@t172)) % 0.74/0.90 (step @p2734 :rule trans :premises (@p2733 @p2730)) % 0.74/0.90 (step @p2735 :rule eq_resolve :premises (@p16 @p2734)) % 0.74/0.90 (step @p2736 :rule eq_resolve :premises (@p2735 @p2724)) % 0.74/0.90 (step @p2737 :rule cong :premises (@p2736 @p2722) :args (@t1573)) % 0.74/0.90 (step @p2738 :rule cong :premises (@p2557) :args (@t1574)) % 0.74/0.90 (step @p2739 :rule nary_cong :premises (@p2738 @p2558) :args (@t1575)) % 0.74/0.90 (step @p2740 :rule cong :premises (@p2739) :args ((forall @t159 @t1575))) % 0.74/0.90 (step @p2741 :rule cong :premises (@p2571) :args (@t1576)) % 0.74/0.90 (step @p2742 :rule nary_cong :premises (@p2741 @p393) :args (@t1577)) % 0.74/0.90 (step @p2743 :rule cong :premises (@p2742) :args ((forall @t159 @t1577))) % 0.74/0.90 (step @p2744 :rule trans :premises (@p2743 @p2740)) % 0.74/0.90 (step @p2745 :rule bool-impl-elim :args (@t157 @t144)) % 0.74/0.90 (step @p2746 :rule cong :premises (@p2745) :args (@t164)) % 0.74/0.90 (step @p2747 :rule trans :premises (@p2746 @p2744)) % 0.74/0.90 (step @p2748 :rule refl :args (tptp.dsetconstrER)) % 0.74/0.90 (step @p2749 :rule cong :premises (@p2748 @p2747) :args (@t165)) % 0.74/0.90 (step @p2750 :rule eq_resolve :premises (@p15 @p2749)) % 0.74/0.90 (step @p2751 :rule cong :premises (@p2750 @p2737) :args (@t1578)) % 0.74/0.90 (step @p2752 :rule refl :args (@t615)) % 0.74/0.90 (step @p2753 :rule nary_cong :premises (@p2738 @p2752) :args (@t1579)) % 0.74/0.90 (step @p2754 :rule cong :premises (@p2753) :args ((forall @t159 @t1579))) % 0.74/0.90 (step @p2755 :rule nary_cong :premises (@p2741 @p660) :args (@t1580)) % 0.74/0.90 (step @p2756 :rule cong :premises (@p2755) :args ((forall @t159 @t1580))) % 0.74/0.90 (step @p2757 :rule trans :premises (@p2756 @p2754)) % 0.74/0.90 (step @p2758 :rule bool-impl-elim :args (@t157 @t7)) % 0.74/0.90 (step @p2759 :rule cong :premises (@p2758) :args (@t162)) % 0.74/0.90 (step @p2760 :rule trans :premises (@p2759 @p2757)) % 0.74/0.90 (step @p2761 :rule refl :args (tptp.dsetconstrEL)) % 0.74/0.90 (step @p2762 :rule cong :premises (@p2761 @p2760) :args (@t163)) % 0.74/0.90 (step @p2763 :rule eq_resolve :premises (@p14 @p2762)) % 0.74/0.90 (step @p2764 :rule cong :premises (@p2763 @p2751) :args (@t1581)) % 0.74/0.90 (step @p2765 :rule nary_cong :premises (@p2498 @p2497 @p2557) :args (@t1582)) % 0.74/0.90 (step @p2766 :rule cong :premises (@p2765) :args ((forall @t159 @t1582))) % 0.74/0.90 (step @p2767 :rule nary_cong :premises (@p661 @p1083 @p2571) :args (@t1583)) % 0.74/0.90 (step @p2768 :rule cong :premises (@p2767) :args ((forall @t159 @t1583))) % 0.74/0.90 (step @p2769 :rule trans :premises (@p2768 @p2766)) % 0.74/0.90 (step @p2770 :rule aci_norm :args ((= (or @t197 (or @t315 @t157)) @t1583))) % 0.74/0.90 (step @p2771 :rule bool-impl-elim :args (@t144 @t157)) % 0.74/0.90 (step @p2772 :rule nary_cong :premises (@p670 @p2771) :args ((or @t197 @t158))) % 0.74/0.90 (step @p2773 :rule trans :premises (@p2772 @p2770)) % 0.74/0.90 (step @p2774 :rule bool-impl-elim :args (@t7 @t158)) % 0.74/0.90 (step @p2775 :rule trans :premises (@p2774 @p2773)) % 0.74/0.90 (step @p2776 :rule cong :premises (@p2775) :args (@t160)) % 0.74/0.90 (step @p2777 :rule trans :premises (@p2776 @p2769)) % 0.74/0.90 (step @p2778 :rule refl :args (tptp.dsetconstrI)) % 0.74/0.90 (step @p2779 :rule cong :premises (@p2778 @p2777) :args (@t161)) % 0.74/0.90 (step @p2780 :rule eq_resolve :premises (@p13 @p2779)) % 0.74/0.90 (step @p2781 :rule cong :premises (@p2780 @p2764) :args (@t1584)) % 0.74/0.90 (step @p2782 :rule eq-symm :args (@t820 @t19)) % 0.74/0.90 (step @p2783 :rule nary_cong :premises (@p978 @p2782) :args (@t1585)) % 0.74/0.90 (step @p2784 :rule cong :premises (@p2783) :args (@t1586)) % 0.74/0.90 (step @p2785 :rule cong :premises (@p2784) :args (@t1587)) % 0.74/0.90 (step @p2786 :rule refl :args (@t821)) % 0.74/0.90 (step @p2787 :rule refl :args (@t822)) % 0.74/0.90 (step @p2788 :rule nary_cong :premises (@p2787 @p2786 @p2785) :args (@t1588)) % 0.74/0.90 (step @p2789 :rule aci_norm :args ((= @t1590 @t1588))) % 0.74/0.90 (step @p2790 :rule trans :premises (@p2789 @p2788)) % 0.74/0.90 (step @p2791 :rule cong :premises (@p2790) :args (@t1591)) % 0.74/0.90 (step @p2792 :rule quant-merge-prenex :args ((= (forall @t150 @t1593) @t1591))) % 0.74/0.90 (step @p2793 :rule refl :args (@t822)) % 0.74/0.90 (step @p2794 :rule alpha_equiv :args (@t1594 (@list @t820) @t1139)) % 0.74/0.90 (step @p2795 :rule nary_cong :premises (@p2794 @p2793) :args (@t1595)) % 0.74/0.90 (step @p2796 :rule quant-miniscope-or :args ((= @t1593 @t1595))) % 0.74/0.90 (step @p2797 :rule trans :premises (@p2796 @p2795)) % 0.74/0.90 (step @p2798 :rule symm :premises (@p2797)) % 0.74/0.90 (step @p2799 :rule cong :premises (@p2798) :args ((forall @t150 (or @t669 @t822)))) % 0.74/0.90 (step @p2800 :rule trans :premises (@p2799 @p2792)) % 0.74/0.90 (step @p2801 :rule trans :premises (@p2800 @p2791)) % 0.74/0.90 (step @p2802 :rule cong :premises (@p1002) :args (@t1596)) % 0.74/0.90 (step @p2803 :rule nary_cong :premises (@p1005 @p2802) :args (@t1597)) % 0.74/0.90 (step @p2804 :rule cong :premises (@p2803) :args ((forall @t150 @t1597))) % 0.74/0.90 (step @p2805 :rule trans :premises (@p2804 @p2801)) % 0.74/0.90 (step @p2806 :rule refl :args ((_ @t143 @t146))) % 0.74/0.90 (step @p2807 :rule cong :premises (@p1022) :args (@t1596)) % 0.74/0.90 (step @p2808 :rule trans :premises (@p2807 @p2806)) % 0.74/0.90 (step @p2809 :rule refl :args (@t143)) % 0.74/0.90 (step @p2810 :rule ho_cong :premises (@p2809 @p1022)) % 0.74/0.90 (step @p2811 :rule cong :premises (@p2810 @p2808) :args ((= (_ @t143 @t1143) @t1596))) % 0.74/0.90 (step @p2812 :rule symm :premises (@p2811)) % 0.74/0.90 (step @p2813 :rule refl :args (@t147)) % 0.74/0.90 (step @p2814 :rule eq_resolve :premises (@p2813 @p2812)) % 0.74/0.90 (step @p2815 :rule ho_cong :premises (@p2809 @p1029)) % 0.74/0.90 (step @p2816 :rule trans :premises (@p2815 @p2814)) % 0.74/0.90 (step @p2817 :rule nary_cong :premises (@p1032 @p2816) :args (@t1598)) % 0.74/0.90 (step @p2818 :rule cong :premises (@p2817) :args ((forall @t150 @t1598))) % 0.74/0.90 (step @p2819 :rule trans :premises (@p2818 @p2805)) % 0.74/0.90 (step @p2820 :rule nary_cong :premises (@p1046 @p2813) :args ((or @t1149 @t147))) % 0.74/0.90 (step @p2821 :rule bool-impl-elim :args (@t670 @t147)) % 0.74/0.90 (step @p2822 :rule trans :premises (@p2821 @p2820)) % 0.74/0.90 (step @p2823 :rule cong :premises (@p2822) :args ((forall @t150 (=> @t670 @t147)))) % 0.74/0.90 (step @p2824 :rule trans :premises (@p2823 @p2819)) % 0.74/0.90 (step @p2825 :rule refl :args (@t147)) % 0.74/0.90 (step @p2826 :rule cong :premises (@p1107 @p2825) :args (@t1599)) % 0.74/0.90 (step @p2827 :rule cong :premises (@p2826) :args (@t1600)) % 0.74/0.90 (step @p2828 :rule trans :premises (@p2827 @p2824)) % 0.74/0.90 (step @p2829 :rule refl :args (tptp.descrp)) % 0.74/0.90 (step @p2830 :rule cong :premises (@p2829 @p2828) :args ((= tptp.descrp @t1600))) % 0.74/0.90 (step @p2831 :rule cong :premises (@p1156 @p2825) :args (@t149)) % 0.74/0.90 (step @p2832 :rule cong :premises (@p2831) :args (@t151)) % 0.74/0.90 (step @p2833 :rule cong :premises (@p2829 @p2832) :args (@t152)) % 0.74/0.90 (step @p2834 :rule trans :premises (@p2833 @p2830)) % 0.74/0.90 (step @p2835 :rule eq_resolve :premises (@p12 @p2834)) % 0.74/0.90 (step @p2836 :rule cong :premises (@p2835 @p2781) :args (@t1601)) % 0.74/0.90 (step @p2837 :rule aci_norm :args ((= (or @t874 (or @t867 (or @t863 @t851))) @t875))) % 0.74/0.90 (step @p2838 :rule bool-and-de-morgan :args (@t862 @t850 true)) % 0.74/0.90 (step @p2839 :rule refl :args (@t867)) % 0.74/0.90 (step @p2840 :rule nary_cong :premises (@p2839 @p2838) :args ((or @t867 (not (and @t862 @t850))))) % 0.74/0.90 (step @p2841 :rule bool-and-de-morgan :args (@t866 @t862 (and @t850))) % 0.74/0.90 (step @p2842 :rule trans :premises (@p2841 @p2840)) % 0.74/0.90 (step @p2843 :rule refl :args (@t874)) % 0.74/0.90 (step @p2844 :rule nary_cong :premises (@p2843 @p2842) :args ((or @t874 (not (and @t866 @t862 @t850))))) % 0.74/0.90 (step @p2845 :rule bool-and-de-morgan :args (@t873 @t866 (and @t862 @t850))) % 0.74/0.90 (step @p2846 :rule trans :premises (@p2845 @p2844)) % 0.74/0.90 (step @p2847 :rule trans :premises (@p2846 @p2837)) % 0.74/0.90 (step @p2848 :rule cong :premises (@p2847) :args (@t1603)) % 0.74/0.90 (step @p2849 :rule cong :premises (@p2848) :args (@t1604)) % 0.74/0.90 (step @p2850 :rule exists-elim :args ((= (exists @t41 @t1602) @t1604))) % 0.74/0.90 (step @p2851 :rule trans :premises (@p2850 @p2849)) % 0.74/0.90 (step @p2852 :rule quant-merge-prenex :args ((= (forall @t118 @t1606) @t850))) % 0.74/0.90 (step @p2853 :rule refl :args (@t844)) % 0.74/0.90 (step @p2854 :rule alpha_equiv :args (@t1607 (@list @t845) @t1139)) % 0.74/0.90 (step @p2855 :rule refl :args (@t848)) % 0.74/0.90 (step @p2856 :rule nary_cong :premises (@p2855 @p2854 @p2853) :args (@t1608)) % 0.74/0.90 (step @p2857 :rule quant-miniscope-or :args ((= @t1606 @t1608))) % 0.74/0.90 (step @p2858 :rule trans :premises (@p2857 @p2856)) % 0.74/0.90 (step @p2859 :rule symm :premises (@p2858)) % 0.74/0.90 (step @p2860 :rule cong :premises (@p2859) :args ((forall @t118 @t1610))) % 0.74/0.90 (step @p2861 :rule trans :premises (@p2860 @p2852)) % 0.74/0.90 (step @p2862 :rule aci_norm :args ((= (or (or @t848 @t1609) @t844) @t1610))) % 0.74/0.90 (step @p2863 :rule bool-double-not-elim :args (@t1609)) % 0.74/0.90 (step @p2864 :rule nary_cong :premises (@p2855 @p2863) :args ((or @t848 (not @t1611)))) % 0.74/0.90 (step @p2865 :rule bool-and-de-morgan :args (@t847 @t1611 true)) % 0.74/0.90 (step @p2866 :rule trans :premises (@p2865 @p2864)) % 0.74/0.90 (step @p2867 :rule nary_cong :premises (@p2866 @p2853) :args ((or (not @t1612) @t844))) % 0.74/0.90 (step @p2868 :rule trans :premises (@p2867 @p2862)) % 0.74/0.90 (step @p2869 :rule bool-impl-elim :args (@t1612 @t844)) % 0.74/0.90 (step @p2870 :rule trans :premises (@p2869 @p2868)) % 0.74/0.90 (step @p2871 :rule cong :premises (@p2870) :args ((forall @t118 (=> @t1612 @t844)))) % 0.74/0.90 (step @p2872 :rule trans :premises (@p2871 @p2861)) % 0.74/0.90 (step @p2873 :rule refl :args (@t835)) % 0.74/0.90 (step @p2874 :rule refl :args (@t839)) % 0.74/0.90 (step @p2875 :rule refl :args (@t840)) % 0.74/0.90 (step @p2876 :rule refl :args (@t109)) % 0.74/0.90 (step @p2877 :rule cong :premises (@p2876 @p2875) :args ((= @t109 @t840))) % 0.74/0.90 (step @p2878 :rule symm :premises (@p2877)) % 0.74/0.90 (step @p2879 :rule eq_resolve :premises (@p2876 @p2878)) % 0.74/0.90 (step @p2880 :rule cong :premises (@p2879) :args (@t1613)) % 0.74/0.90 (step @p2881 :rule refl :args (@t842)) % 0.74/0.90 (step @p2882 :rule refl :args (@t110)) % 0.74/0.90 (step @p2883 :rule cong :premises (@p2882 @p2881) :args ((= @t110 @t842))) % 0.74/0.90 (step @p2884 :rule symm :premises (@p2883)) % 0.74/0.90 (step @p2885 :rule eq_resolve :premises (@p2882 @p2884)) % 0.74/0.90 (step @p2886 :rule cong :premises (@p2885) :args (@t1614)) % 0.74/0.90 (step @p2887 :rule nary_cong :premises (@p2886 @p2880 @p2874 @p2873) :args (@t1615)) % 0.74/0.90 (step @p2888 :rule cong :premises (@p2887) :args ((forall @t112 @t1615))) % 0.74/0.90 (step @p2889 :rule aci_norm :args ((= (or @t1614 (or @t1613 (or @t839 @t835))) @t1615))) % 0.74/0.90 (step @p2890 :rule bool-and-de-morgan :args (@t838 @t834 true)) % 0.74/0.90 (step @p2891 :rule refl :args (@t1613)) % 0.74/0.90 (step @p2892 :rule nary_cong :premises (@p2891 @p2890) :args ((or @t1613 (not (and @t838 @t834))))) % 0.74/0.90 (step @p2893 :rule bool-and-de-morgan :args (@t109 @t838 (and @t834))) % 0.74/0.90 (step @p2894 :rule trans :premises (@p2893 @p2892)) % 0.74/0.90 (step @p2895 :rule refl :args (@t1614)) % 0.74/0.90 (step @p2896 :rule nary_cong :premises (@p2895 @p2894) :args ((or @t1614 (not (and @t109 @t838 @t834))))) % 0.74/0.90 (step @p2897 :rule bool-and-de-morgan :args (@t110 @t109 (and @t838 @t834))) % 0.74/0.90 (step @p2898 :rule trans :premises (@p2897 @p2896)) % 0.74/0.90 (step @p2899 :rule trans :premises (@p2898 @p2889)) % 0.74/0.90 (step @p2900 :rule cong :premises (@p2899) :args (@t1617)) % 0.74/0.90 (step @p2901 :rule trans :premises (@p2900 @p2888)) % 0.74/0.90 (step @p2902 :rule cong :premises (@p2901) :args (@t1618)) % 0.74/0.90 (step @p2903 :rule exists-elim :args ((= (exists @t112 @t1616) @t1618))) % 0.74/0.90 (step @p2904 :rule trans :premises (@p2903 @p2902)) % 0.74/0.90 (step @p2905 :rule aci_norm :args ((= @t1620 @t832))) % 0.74/0.90 (step @p2906 :rule cong :premises (@p2905) :args (@t1621)) % 0.74/0.90 (step @p2907 :rule quant-merge-prenex :args ((= (forall @t102 @t1623) @t1621))) % 0.74/0.90 (step @p2908 :rule refl :args (@t829)) % 0.74/0.90 (step @p2909 :rule alpha_equiv :args (@t1624 (@list @t826) @t1286)) % 0.74/0.90 (step @p2910 :rule refl :args (@t831)) % 0.74/0.90 (step @p2911 :rule nary_cong :premises (@p2910 @p2909 @p2908) :args (@t1625)) % 0.74/0.90 (step @p2912 :rule quant-miniscope-or :args ((= @t1623 @t1625))) % 0.74/0.90 (step @p2913 :rule trans :premises (@p2912 @p2911)) % 0.74/0.90 (step @p2914 :rule symm :premises (@p2913)) % 0.74/0.90 (step @p2915 :rule cong :premises (@p2914) :args ((forall @t102 (or @t831 @t1627 @t829)))) % 0.74/0.90 (step @p2916 :rule trans :premises (@p2915 @p2907)) % 0.74/0.90 (step @p2917 :rule trans :premises (@p2916 @p2906)) % 0.74/0.90 (step @p2918 :rule refl :args (@t829)) % 0.74/0.90 (step @p2919 :rule refl :args (@t94)) % 0.74/0.90 (step @p2920 :rule cong :premises (@p2919 @p2918) :args ((= @t94 @t829))) % 0.74/0.90 (step @p2921 :rule symm :premises (@p2920)) % 0.74/0.90 (step @p2922 :rule eq_resolve :premises (@p2919 @p2921)) % 0.74/0.90 (step @p2923 :rule refl :args (@t1627)) % 0.74/0.90 (step @p2924 :rule refl :args (@t830)) % 0.74/0.90 (step @p2925 :rule refl :args (@t100)) % 0.74/0.90 (step @p2926 :rule cong :premises (@p2925 @p2924) :args ((= @t100 @t830))) % 0.74/0.90 (step @p2927 :rule symm :premises (@p2926)) % 0.74/0.90 (step @p2928 :rule eq_resolve :premises (@p2925 @p2927)) % 0.74/0.90 (step @p2929 :rule cong :premises (@p2928) :args (@t1628)) % 0.74/0.90 (step @p2930 :rule nary_cong :premises (@p2929 @p2923 @p2922) :args (@t1629)) % 0.74/0.90 (step @p2931 :rule cong :premises (@p2930) :args ((forall @t102 @t1629))) % 0.74/0.90 (step @p2932 :rule trans :premises (@p2931 @p2917)) % 0.74/0.90 (step @p2933 :rule aci_norm :args ((= (or @t1628 @t1630) @t1629))) % 0.74/0.90 (step @p2934 :rule bool-impl-elim :args (@t100 @t1630)) % 0.74/0.90 (step @p2935 :rule trans :premises (@p2934 @p2933)) % 0.74/0.90 (step @p2936 :rule cong :premises (@p2935) :args ((forall @t102 (=> @t100 @t1630)))) % 0.74/0.90 (step @p2937 :rule trans :premises (@p2936 @p2932)) % 0.74/0.90 (step @p2938 :rule refl :args (@t94)) % 0.74/0.90 (step @p2939 :rule refl :args (@t837)) % 0.74/0.90 (step @p2940 :rule refl :args (@t96)) % 0.74/0.90 (step @p2941 :rule cong :premises (@p2940 @p2939) :args ((= @t96 @t837))) % 0.74/0.90 (step @p2942 :rule symm :premises (@p2941)) % 0.74/0.90 (step @p2943 :rule eq_resolve :premises (@p2940 @p2942)) % 0.74/0.90 (step @p2944 :rule refl :args (@t1626)) % 0.74/0.90 (step @p2945 :rule refl :args (@t97)) % 0.74/0.90 (step @p2946 :rule cong :premises (@p2945 @p2944) :args ((= @t97 @t1626))) % 0.74/0.90 (step @p2947 :rule symm :premises (@p2946)) % 0.74/0.90 (step @p2948 :rule eq_resolve :premises (@p2945 @p2947)) % 0.74/0.90 (step @p2949 :rule cong :premises (@p2948) :args (@t1631)) % 0.74/0.90 (step @p2950 :rule nary_cong :premises (@p2949 @p2943) :args (@t1632)) % 0.74/0.90 (step @p2951 :rule cong :premises (@p2950) :args ((forall @t70 @t1632))) % 0.74/0.90 (step @p2952 :rule bool-impl-elim :args (@t97 @t96)) % 0.74/0.90 (step @p2953 :rule cong :premises (@p2952) :args (@t98)) % 0.74/0.90 (step @p2954 :rule trans :premises (@p2953 @p2951)) % 0.74/0.90 (step @p2955 :rule nary_cong :premises (@p2954 @p2938) :args (@t99)) % 0.74/0.90 (step @p2956 :rule refl :args (@t100)) % 0.74/0.90 (step @p2957 :rule cong :premises (@p2956 @p2955) :args (@t101)) % 0.74/0.90 (step @p2958 :rule cong :premises (@p2957) :args (@t103)) % 0.74/0.90 (step @p2959 :rule trans :premises (@p2958 @p2937)) % 0.74/0.90 (step @p2960 :rule bool-double-not-elim :args (@t838)) % 0.74/0.90 (step @p2961 :rule refl :args (@t836)) % 0.74/0.90 (step @p2962 :rule refl :args (@t105)) % 0.74/0.90 (step @p2963 :rule cong :premises (@p2962 @p2961) :args ((= @t105 @t836))) % 0.74/0.90 (step @p2964 :rule symm :premises (@p2963)) % 0.74/0.90 (step @p2965 :rule eq_resolve :premises (@p2962 @p2964)) % 0.74/0.90 (step @p2966 :rule cong :premises (@p2965) :args (@t1633)) % 0.74/0.90 (step @p2967 :rule cong :premises (@p2943) :args (@t1634)) % 0.74/0.90 (step @p2968 :rule nary_cong :premises (@p2967 @p2966) :args (@t1635)) % 0.74/0.90 (step @p2969 :rule cong :premises (@p2968) :args ((forall @t70 @t1635))) % 0.74/0.90 (step @p2970 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 0.74/0.90 (step @p2971 :rule cong :premises (@p2970) :args (@t1636)) % 0.74/0.90 (step @p2972 :rule trans :premises (@p2971 @p2969)) % 0.74/0.90 (step @p2973 :rule cong :premises (@p2972) :args (@t1637)) % 0.74/0.90 (step @p2974 :rule exists-elim :args ((= @t107 @t1637))) % 0.74/0.90 (step @p2975 :rule trans :premises (@p2974 @p2973)) % 0.74/0.90 (step @p2976 :rule cong :premises (@p2975) :args (@t108)) % 0.74/0.90 (step @p2977 :rule trans :premises (@p2976 @p2960)) % 0.74/0.90 (step @p2978 :rule refl :args (@t109)) % 0.74/0.90 (step @p2979 :rule refl :args (@t110)) % 0.74/0.90 (step @p2980 :rule nary_cong :premises (@p2979 @p2978 @p2977 @p2959) :args (@t111)) % 0.74/0.90 (step @p2981 :rule cong :premises (@p2980) :args (@t113)) % 0.74/0.90 (step @p2982 :rule trans :premises (@p2981 @p2904)) % 0.74/0.90 (step @p2983 :rule cong :premises (@p2880) :args (@t1638)) % 0.74/0.90 (step @p2984 :rule cong :premises (@p2983) :args (@t1639)) % 0.74/0.90 (step @p2985 :rule exists-elim :args ((= @t114 @t1639))) % 0.74/0.90 (step @p2986 :rule trans :premises (@p2985 @p2984)) % 0.74/0.90 (step @p2987 :rule nary_cong :premises (@p2880 @p660) :args (@t1640)) % 0.74/0.90 (step @p2988 :rule cong :premises (@p2987) :args ((forall @t9 @t1640))) % 0.74/0.90 (step @p2989 :rule bool-impl-elim :args (@t109 @t7)) % 0.74/0.90 (step @p2990 :rule cong :premises (@p2989) :args (@t115)) % 0.74/0.90 (step @p2991 :rule trans :premises (@p2990 @p2988)) % 0.74/0.90 (step @p2992 :rule nary_cong :premises (@p2991 @p2986) :args (@t116)) % 0.74/0.90 (step @p2993 :rule cong :premises (@p2992 @p2982) :args (@t117)) % 0.74/0.90 (step @p2994 :rule cong :premises (@p2993) :args (@t119)) % 0.74/0.90 (step @p2995 :rule trans :premises (@p2994 @p2872)) % 0.74/0.90 (step @p2996 :rule aci_norm :args ((= @t1643 @t860))) % 0.74/0.90 (step @p2997 :rule cong :premises (@p2996) :args (@t1644)) % 0.74/0.90 (step @p2998 :rule quant-merge-prenex :args ((= (forall @t127 @t1645) @t1644))) % 0.74/0.90 (step @p2999 :rule alpha_equiv :args (@t1646 (@list @t852) @t1139)) % 0.74/0.90 (step @p3000 :rule alpha_equiv :args (@t1647 (@list @t855) @t1139)) % 0.74/0.90 (step @p3001 :rule refl :args (@t843)) % 0.74/0.90 (step @p3002 :rule refl :args (@t859)) % 0.74/0.90 (step @p3003 :rule nary_cong :premises (@p3002 @p3001 @p3000 @p2999) :args (@t1648)) % 0.74/0.90 (step @p3004 :rule quant-miniscope-or :args ((= @t1645 @t1648))) % 0.74/0.90 (step @p3005 :rule trans :premises (@p3004 @p3003)) % 0.74/0.90 (step @p3006 :rule symm :premises (@p3005)) % 0.74/0.90 (step @p3007 :rule cong :premises (@p3006) :args ((forall @t127 (or @t859 @t843 @t1651 @t1650)))) % 0.74/0.90 (step @p3008 :rule trans :premises (@p3007 @p2998)) % 0.74/0.90 (step @p3009 :rule trans :premises (@p3008 @p2997)) % 0.74/0.90 (step @p3010 :rule refl :args (@t1650)) % 0.74/0.90 (step @p3011 :rule refl :args (@t1651)) % 0.74/0.90 (step @p3012 :rule refl :args (@t858)) % 0.74/0.90 (step @p3013 :rule refl :args (@t124)) % 0.74/0.90 (step @p3014 :rule cong :premises (@p3013 @p3012) :args ((= @t124 @t858))) % 0.74/0.90 (step @p3015 :rule symm :premises (@p3014)) % 0.74/0.90 (step @p3016 :rule eq_resolve :premises (@p3013 @p3015)) % 0.74/0.90 (step @p3017 :rule cong :premises (@p3016) :args (@t1652)) % 0.74/0.90 (step @p3018 :rule nary_cong :premises (@p3017 @p2886 @p3011 @p3010) :args (@t1653)) % 0.74/0.90 (step @p3019 :rule cong :premises (@p3018) :args ((forall @t127 @t1653))) % 0.74/0.90 (step @p3020 :rule trans :premises (@p3019 @p3009)) % 0.74/0.90 (step @p3021 :rule aci_norm :args ((= (or (or @t1652 @t1614) @t1654) @t1653))) % 0.74/0.90 (step @p3022 :rule refl :args (@t1654)) % 0.74/0.90 (step @p3023 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 0.74/0.90 (step @p3024 :rule nary_cong :premises (@p3023 @p3022) :args ((or (not @t125) @t1654))) % 0.74/0.90 (step @p3025 :rule trans :premises (@p3024 @p3021)) % 0.74/0.90 (step @p3026 :rule bool-impl-elim :args (@t125 @t1654)) % 0.74/0.90 (step @p3027 :rule trans :premises (@p3026 @p3025)) % 0.74/0.90 (step @p3028 :rule cong :premises (@p3027) :args ((forall @t127 (=> @t125 @t1654)))) % 0.74/0.90 (step @p3029 :rule trans :premises (@p3028 @p3020)) % 0.74/0.90 (step @p3030 :rule refl :args (@t1649)) % 0.74/0.90 (step @p3031 :rule refl :args (@t120)) % 0.74/0.90 (step @p3032 :rule cong :premises (@p3031 @p3030) :args ((= @t120 @t1649))) % 0.74/0.90 (step @p3033 :rule symm :premises (@p3032)) % 0.74/0.90 (step @p3034 :rule eq_resolve :premises (@p3031 @p3033)) % 0.74/0.90 (step @p3035 :rule cong :premises (@p3034) :args (@t1655)) % 0.74/0.90 (step @p3036 :rule nary_cong :premises (@p3035 @p2879) :args (@t1656)) % 0.74/0.90 (step @p3037 :rule cong :premises (@p3036) :args ((forall @t9 @t1656))) % 0.74/0.90 (step @p3038 :rule bool-impl-elim :args (@t120 @t109)) % 0.74/0.90 (step @p3039 :rule cong :premises (@p3038) :args (@t121)) % 0.74/0.90 (step @p3040 :rule trans :premises (@p3039 @p3037)) % 0.74/0.90 (step @p3041 :rule nary_cong :premises (@p2880 @p3034) :args (@t1657)) % 0.74/0.90 (step @p3042 :rule cong :premises (@p3041) :args ((forall @t9 @t1657))) % 0.74/0.90 (step @p3043 :rule bool-impl-elim :args (@t109 @t120)) % 0.74/0.90 (step @p3044 :rule cong :premises (@p3043) :args (@t122)) % 0.74/0.90 (step @p3045 :rule trans :premises (@p3044 @p3042)) % 0.74/0.90 (step @p3046 :rule nary_cong :premises (@p3045 @p3040) :args (@t123)) % 0.74/0.90 (step @p3047 :rule refl :args (@t125)) % 0.74/0.90 (step @p3048 :rule cong :premises (@p3047 @p3046) :args (@t126)) % 0.74/0.90 (step @p3049 :rule cong :premises (@p3048) :args (@t128)) % 0.74/0.90 (step @p3050 :rule trans :premises (@p3049 @p3029)) % 0.74/0.90 (step @p3051 :rule refl :args (@t865)) % 0.74/0.90 (step @p3052 :rule nary_cong :premises (@p661 @p2417 @p3051 @p1062) :args (@t1658)) % 0.74/0.90 (step @p3053 :rule cong :premises (@p3052) :args ((forall @t135 @t1658))) % 0.74/0.90 (step @p3054 :rule aci_norm :args ((= (or (or @t197 @t1493) (or @t865 @t129)) @t1658))) % 0.74/0.90 (step @p3055 :rule bool-impl-elim :args (@t864 @t129)) % 0.74/0.90 (step @p3056 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 0.74/0.90 (step @p3057 :rule nary_cong :premises (@p3056 @p3055) :args ((or (not @t133) @t1659))) % 0.74/0.90 (step @p3058 :rule trans :premises (@p3057 @p3054)) % 0.74/0.90 (step @p3059 :rule bool-impl-elim :args (@t133 @t1659)) % 0.74/0.90 (step @p3060 :rule trans :premises (@p3059 @p3058)) % 0.74/0.90 (step @p3061 :rule cong :premises (@p3060) :args ((forall @t135 (=> @t133 @t1659)))) % 0.74/0.90 (step @p3062 :rule trans :premises (@p3061 @p3053)) % 0.74/0.90 (step @p3063 :rule cong :premises (@p2879 @p2965) :args (@t130)) % 0.74/0.90 (step @p3064 :rule nary_cong :premises (@p3017 @p3063) :args (@t1660)) % 0.74/0.90 (step @p3065 :rule cong :premises (@p3064) :args ((forall @t118 @t1660))) % 0.74/0.90 (step @p3066 :rule bool-impl-elim :args (@t124 @t130)) % 0.74/0.90 (step @p3067 :rule cong :premises (@p3066) :args (@t131)) % 0.74/0.90 (step @p3068 :rule trans :premises (@p3067 @p3065)) % 0.74/0.90 (step @p3069 :rule cong :premises (@p3068 @p1066) :args (@t132)) % 0.74/0.90 (step @p3070 :rule refl :args (@t133)) % 0.74/0.90 (step @p3071 :rule cong :premises (@p3070 @p3069) :args (@t134)) % 0.74/0.90 (step @p3072 :rule cong :premises (@p3071) :args (@t136)) % 0.74/0.90 (step @p3073 :rule trans :premises (@p3072 @p3062)) % 0.74/0.90 (step @p3074 :rule aci_norm :args ((= @t1662 @t871))) % 0.74/0.90 (step @p3075 :rule cong :premises (@p3074) :args (@t1663)) % 0.74/0.90 (step @p3076 :rule quant-merge-prenex :args ((= (forall @t118 @t1665) @t1663))) % 0.74/0.90 (step @p3077 :rule alpha_equiv :args (@t1666 (@list @t868) @t1139)) % 0.74/0.90 (step @p3078 :rule nary_cong :premises (@p3002 @p3077) :args (@t1667)) % 0.74/0.90 (step @p3079 :rule quant-miniscope-or :args ((= @t1665 @t1667))) % 0.74/0.90 (step @p3080 :rule trans :premises (@p3079 @p3078)) % 0.74/0.90 (step @p3081 :rule symm :premises (@p3080)) % 0.74/0.90 (step @p3082 :rule cong :premises (@p3081) :args ((forall @t118 (or @t859 @t847)))) % 0.74/0.90 (step @p3083 :rule trans :premises (@p3082 @p3076)) % 0.74/0.90 (step @p3084 :rule trans :premises (@p3083 @p3075)) % 0.74/0.90 (step @p3085 :rule refl :args (@t847)) % 0.74/0.90 (step @p3086 :rule nary_cong :premises (@p3017 @p3085) :args (@t1668)) % 0.74/0.90 (step @p3087 :rule cong :premises (@p3086) :args ((forall @t118 @t1668))) % 0.74/0.90 (step @p3088 :rule trans :premises (@p3087 @p3084)) % 0.74/0.90 (step @p3089 :rule bool-impl-elim :args (@t124 @t847)) % 0.74/0.90 (step @p3090 :rule cong :premises (@p3089) :args ((forall @t118 (=> @t124 @t847)))) % 0.74/0.90 (step @p3091 :rule trans :premises (@p3090 @p3088)) % 0.74/0.90 (step @p3092 :rule refl :args (@t124)) % 0.74/0.90 (step @p3093 :rule cong :premises (@p3092 @p2991) :args (@t137)) % 0.74/0.90 (step @p3094 :rule cong :premises (@p3093) :args (@t138)) % 0.74/0.90 (step @p3095 :rule trans :premises (@p3094 @p3091)) % 0.74/0.90 (step @p3096 :rule nary_cong :premises (@p3095 @p3073 @p3050 @p2995) :args (@t139)) % 0.74/0.90 (step @p3097 :rule cong :premises (@p3096) :args (@t140)) % 0.74/0.90 (step @p3098 :rule trans :premises (@p3097 @p2851)) % 0.74/0.90 (step @p3099 :rule cong :premises (@p3098) :args (@t141)) % 0.74/0.90 (step @p3100 :rule refl :args (tptp.wellorderingAx)) % 0.74/0.90 (step @p3101 :rule cong :premises (@p3100 @p3099) :args (@t142)) % 0.74/0.90 (step @p3102 :rule eq_resolve :premises (@p11 @p3101)) % 0.74/0.90 (step @p3103 :rule cong :premises (@p3102 @p2836) :args (@t1669)) % 0.74/0.90 (step @p3104 :rule quant-merge-prenex :args ((= (forall @t64 @t1671) @t884))) % 0.74/0.90 (step @p3105 :rule refl :args (@t880)) % 0.74/0.90 (step @p3106 :rule alpha_equiv :args (@t1672 (@list @t881) @t1139)) % 0.74/0.90 (step @p3107 :rule nary_cong :premises (@p3106 @p3105) :args (@t1673)) % 0.74/0.90 (step @p3108 :rule quant-miniscope-or :args ((= @t1671 @t1673))) % 0.74/0.90 (step @p3109 :rule trans :premises (@p3108 @p3107)) % 0.74/0.90 (step @p3110 :rule symm :premises (@p3109)) % 0.74/0.90 (step @p3111 :rule cong :premises (@p3110) :args ((forall @t64 (or @t726 @t880)))) % 0.74/0.90 (step @p3112 :rule trans :premises (@p3111 @p3104)) % 0.74/0.90 (step @p3113 :rule nary_cong :premises (@p2475 @p3105) :args ((or @t1510 @t880))) % 0.74/0.90 (step @p3114 :rule bool-impl-elim :args (@t727 @t880)) % 0.74/0.90 (step @p3115 :rule trans :premises (@p3114 @p3113)) % 0.74/0.90 (step @p3116 :rule cong :premises (@p3115) :args ((forall @t64 (=> @t727 @t880)))) % 0.74/0.90 (step @p3117 :rule trans :premises (@p3116 @p3112)) % 0.74/0.90 (step @p3118 :rule refl :args (@t879)) % 0.74/0.90 (step @p3119 :rule nary_cong :premises (@p2204 @p3118) :args (@t1674)) % 0.74/0.90 (step @p3120 :rule cong :premises (@p3119) :args ((forall @t41 @t1674))) % 0.74/0.90 (step @p3121 :rule bool-and-de-morgan :args (@t39 @t878 true)) % 0.74/0.90 (step @p3122 :rule cong :premises (@p3121) :args (@t1676)) % 0.74/0.90 (step @p3123 :rule trans :premises (@p3122 @p3120)) % 0.74/0.90 (step @p3124 :rule cong :premises (@p3123) :args (@t1677)) % 0.74/0.90 (step @p3125 :rule exists-elim :args ((= (exists @t41 @t1675) @t1677))) % 0.74/0.90 (step @p3126 :rule trans :premises (@p3125 @p3124)) % 0.74/0.90 (step @p3127 :rule bool-double-not-elim :args (@t878)) % 0.74/0.90 (step @p3128 :rule nary_cong :premises (@p2205 @p661) :args (@t1678)) % 0.74/0.90 (step @p3129 :rule cong :premises (@p3128) :args ((forall @t9 @t1678))) % 0.74/0.90 (step @p3130 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 0.74/0.90 (step @p3131 :rule cong :premises (@p3130) :args (@t1679)) % 0.74/0.90 (step @p3132 :rule trans :premises (@p3131 @p3129)) % 0.74/0.90 (step @p3133 :rule cong :premises (@p3132) :args (@t1680)) % 0.74/0.90 (step @p3134 :rule exists-elim :args ((= @t85 @t1680))) % 0.74/0.90 (step @p3135 :rule trans :premises (@p3134 @p3133)) % 0.74/0.90 (step @p3136 :rule cong :premises (@p3135) :args (@t86)) % 0.74/0.90 (step @p3137 :rule trans :premises (@p3136 @p3127)) % 0.74/0.90 (step @p3138 :rule refl :args (@t39)) % 0.74/0.90 (step @p3139 :rule nary_cong :premises (@p3138 @p3137) :args (@t87)) % 0.74/0.90 (step @p3140 :rule cong :premises (@p3139) :args (@t88)) % 0.74/0.90 (step @p3141 :rule trans :premises (@p3140 @p3126)) % 0.74/0.90 (step @p3142 :rule cong :premises (@p2069 @p3141) :args (@t90)) % 0.74/0.90 (step @p3143 :rule cong :premises (@p3142) :args (@t91)) % 0.74/0.90 (step @p3144 :rule trans :premises (@p3143 @p3117)) % 0.74/0.90 (step @p3145 :rule refl :args (tptp.foundationAx)) % 0.74/0.90 (step @p3146 :rule cong :premises (@p3145 @p3144) :args (@t92)) % 0.74/0.90 (step @p3147 :rule eq_resolve :premises (@p10 @p3146)) % 0.74/0.90 (step @p3148 :rule cong :premises (@p3147 @p3103) :args (@t1681)) % 0.74/0.90 (step @p3149 :rule bool-impl-elim :args (@t897 @t889)) % 0.74/0.90 (step @p3150 :rule cong :premises (@p3149) :args ((forall @t81 (=> @t897 @t889)))) % 0.74/0.90 (step @p3151 :rule exists-elim :args ((= (exists @t41 @t888) @t889))) % 0.74/0.90 (step @p3152 :rule refl :args (@t887)) % 0.74/0.90 (step @p3153 :rule cong :premises (@p655 @p3152) :args (@t1682)) % 0.74/0.90 (step @p3154 :rule cong :premises (@p3153) :args ((forall @t9 @t1682))) % 0.74/0.90 (step @p3155 :rule refl :args (@t886)) % 0.74/0.90 (step @p3156 :rule refl :args (@t68)) % 0.74/0.90 (step @p3157 :rule cong :premises (@p3156 @p3155) :args ((= @t68 @t886))) % 0.74/0.90 (step @p3158 :rule symm :premises (@p3157)) % 0.74/0.90 (step @p3159 :rule eq_resolve :premises (@p3156 @p3158)) % 0.74/0.90 (step @p3160 :rule cong :premises (@p3159) :args (@t1683)) % 0.74/0.90 (step @p3161 :rule nary_cong :premises (@p2417 @p3160) :args (@t1684)) % 0.74/0.90 (step @p3162 :rule cong :premises (@p3161) :args ((forall @t70 @t1684))) % 0.74/0.90 (step @p3163 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 0.74/0.90 (step @p3164 :rule cong :premises (@p3163) :args (@t1685)) % 0.74/0.90 (step @p3165 :rule trans :premises (@p3164 @p3162)) % 0.74/0.90 (step @p3166 :rule cong :premises (@p3165) :args (@t1686)) % 0.74/0.90 (step @p3167 :rule exists-elim :args ((= @t71 @t1686))) % 0.74/0.90 (step @p3168 :rule trans :premises (@p3167 @p3166)) % 0.74/0.90 (step @p3169 :rule refl :args (@t6)) % 0.74/0.90 (step @p3170 :rule cong :premises (@p3169 @p3168) :args (@t72)) % 0.74/0.90 (step @p3171 :rule cong :premises (@p3170) :args (@t73)) % 0.74/0.90 (step @p3172 :rule trans :premises (@p3171 @p3154)) % 0.74/0.90 (step @p3173 :rule cong :premises (@p3172) :args (@t74)) % 0.74/0.90 (step @p3174 :rule trans :premises (@p3173 @p3151)) % 0.74/0.90 (step @p3175 :rule refl :args (@t896)) % 0.74/0.90 (step @p3176 :rule nary_cong :premises (@p661 @p3175) :args (@t1687)) % 0.74/0.90 (step @p3177 :rule cong :premises (@p3176) :args ((forall @t9 @t1687))) % 0.74/0.90 (step @p3178 :rule bool-impl-elim :args (@t7 @t896)) % 0.74/0.90 (step @p3179 :rule cong :premises (@p3178) :args ((forall @t9 (=> @t7 @t896)))) % 0.74/0.90 (step @p3180 :rule trans :premises (@p3179 @p3177)) % 0.74/0.90 (step @p3181 :rule refl :args (@t893)) % 0.74/0.90 (step @p3182 :rule refl :args (@t894)) % 0.74/0.90 (step @p3183 :rule refl :args (@t1688)) % 0.74/0.90 (step @p3184 :rule cong :premises (@p3183 @p3182) :args ((= @t1688 @t894))) % 0.74/0.90 (step @p3185 :rule symm :premises (@p3184)) % 0.74/0.90 (step @p3186 :rule eq_resolve :premises (@p3183 @p3185)) % 0.74/0.90 (step @p3187 :rule cong :premises (@p3186) :args (@t1689)) % 0.74/0.90 (step @p3188 :rule nary_cong :premises (@p3187 @p3181) :args (@t1690)) % 0.74/0.90 (step @p3189 :rule cong :premises (@p3188) :args ((forall @t895 @t1690))) % 0.74/0.90 (step @p3190 :rule refl :args (@t891)) % 0.74/0.90 (step @p3191 :rule refl :args (@t892)) % 0.74/0.90 (step @p3192 :rule refl :args (@t76)) % 0.74/0.90 (step @p3193 :rule cong :premises (@p3192 @p3191) :args ((= @t76 @t892))) % 0.74/0.90 (step @p3194 :rule symm :premises (@p3193)) % 0.74/0.90 (step @p3195 :rule eq_resolve :premises (@p3192 @p3194)) % 0.74/0.90 (step @p3196 :rule cong :premises (@p3195) :args (@t1691)) % 0.74/0.90 (step @p3197 :rule nary_cong :premises (@p3196 @p3190) :args (@t1692)) % 0.74/0.90 (step @p3198 :rule cong :premises (@p3197) :args ((forall @t70 @t1692))) % 0.74/0.90 (step @p3199 :rule refl :args (@t891)) % 0.74/0.90 (step @p3200 :rule beta-reduce :args ((= @t1693 @t76))) % 0.74/0.90 (step @p3201 :rule cong :premises (@p3200) :args (@t1694)) % 0.74/0.90 (step @p3202 :rule nary_cong :premises (@p3201 @p3199) :args (@t1695)) % 0.74/0.90 (step @p3203 :rule cong :premises (@p3202) :args (@t1696)) % 0.74/0.90 (step @p3204 :rule trans :premises (@p3203 @p3198)) % 0.74/0.90 (step @p3205 :rule cong :premises (@p3204) :args (@t1697)) % 0.74/0.90 (step @p3206 :rule beta-reduce :args ((= @t1698 @t1688))) % 0.74/0.90 (step @p3207 :rule cong :premises (@p3206) :args (@t1699)) % 0.74/0.90 (step @p3208 :rule nary_cong :premises (@p3207 @p3205) :args (@t1700)) % 0.74/0.90 (step @p3209 :rule cong :premises (@p3208) :args (@t1701)) % 0.74/0.90 (step @p3210 :rule trans :premises (@p3209 @p3189)) % 0.74/0.90 (step @p3211 :rule cong :premises (@p3210) :args (@t1702)) % 0.74/0.90 (step @p3212 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t895 (or @t1703 (not (forall @t70 (or @t643 @t891))))))) @t77) @t1702))) % 0.74/0.90 (step @p3213 :rule trans :premises (@p3212 @p3211)) % 0.74/0.90 (step @p3214 :rule refl :args (@t77)) % 0.74/0.90 (step @p3215 :rule eq-symm :args (@t890 @t19)) % 0.74/0.90 (step @p3216 :rule nary_cong :premises (@p978 @p3215) :args (@t1704)) % 0.74/0.90 (step @p3217 :rule cong :premises (@p3216) :args (@t1705)) % 0.74/0.90 (step @p3218 :rule cong :premises (@p3217) :args (@t1706)) % 0.74/0.90 (step @p3219 :rule refl :args (@t1703)) % 0.74/0.90 (step @p3220 :rule nary_cong :premises (@p3219 @p3218) :args (@t1707)) % 0.74/0.90 (step @p3221 :rule cong :premises (@p3220) :args (@t1708)) % 0.74/0.90 (step @p3222 :rule cong :premises (@p3221) :args (@t1709)) % 0.74/0.90 (step @p3223 :rule cong :premises (@p3222) :args ((lambda @t150 @t1709))) % 0.74/0.90 (step @p3224 :rule ho_cong :premises (@p3223 @p3214)) % 0.74/0.90 (step @p3225 :rule trans :premises (@p3224 @p3213)) % 0.74/0.90 (step @p3226 :rule refl :args (@t77)) % 0.74/0.90 (step @p3227 :rule alpha_equiv :args (@t669 @t1139 (@list @t890))) % 0.74/0.90 (step @p3228 :rule cong :premises (@p3227) :args (@t670)) % 0.74/0.90 (step @p3229 :rule cong :premises (@p3228) :args (@t1165)) % 0.74/0.90 (step @p3230 :rule ho_cong :premises (@p3229 @p3226)) % 0.74/0.90 (step @p3231 :rule trans :premises (@p3230 @p3225)) % 0.74/0.90 (step @p3232 :rule cong :premises (@p956 @p3231) :args (@t1710)) % 0.74/0.90 (step @p3233 :rule cong :premises (@p3232) :args (@t1711)) % 0.74/0.90 (step @p3234 :rule trans :premises (@p3233 @p3180)) % 0.74/0.90 (step @p3235 :rule cong :premises (@p3234 @p3174) :args (@t1712)) % 0.74/0.90 (step @p3236 :rule cong :premises (@p3235) :args (@t1713)) % 0.74/0.90 (step @p3237 :rule trans :premises (@p3236 @p3150)) % 0.74/0.90 (step @p3238 :rule refl :args (tptp.replAx)) % 0.74/0.90 (step @p3239 :rule cong :premises (@p3238 @p3237) :args ((= tptp.replAx @t1713))) % 0.74/0.90 (step @p3240 :rule refl :args (@t74)) % 0.74/0.90 (step @p3241 :rule ho_cong :premises (@p1152 @p3214)) % 0.74/0.90 (step @p3242 :rule cong :premises (@p956 @p3241) :args (@t78)) % 0.74/0.90 (step @p3243 :rule cong :premises (@p3242) :args (@t79)) % 0.74/0.90 (step @p3244 :rule cong :premises (@p3243 @p3240) :args (@t80)) % 0.74/0.90 (step @p3245 :rule cong :premises (@p3244) :args (@t82)) % 0.74/0.90 (step @p3246 :rule cong :premises (@p3238 @p3245) :args (@t83)) % 0.74/0.90 (step @p3247 :rule trans :premises (@p3246 @p3239)) % 0.74/0.90 (step @p3248 :rule eq_resolve :premises (@p9 @p3247)) % 0.74/0.90 (step @p3249 :rule cong :premises (@p3248 @p3148) :args (@t1714)) % 0.74/0.90 (step @p3250 :rule aci_norm :args ((= @t1716 @t911))) % 0.74/0.90 (step @p3251 :rule cong :premises (@p3250) :args (@t1717)) % 0.74/0.90 (step @p3252 :rule quant-merge-prenex :args ((= (forall @t64 @t1719) @t1717))) % 0.74/0.90 (step @p3253 :rule alpha_equiv :args (@t1720 (@list @t900) @t1139)) % 0.74/0.90 (step @p3254 :rule refl :args (@t908)) % 0.74/0.90 (step @p3255 :rule refl :args (@t910)) % 0.74/0.90 (step @p3256 :rule nary_cong :premises (@p3255 @p3254 @p3253) :args (@t1721)) % 0.74/0.90 (step @p3257 :rule quant-miniscope-or :args ((= @t1719 @t1721))) % 0.74/0.90 (step @p3258 :rule trans :premises (@p3257 @p3256)) % 0.74/0.90 (step @p3259 :rule symm :premises (@p3258)) % 0.74/0.90 (step @p3260 :rule cong :premises (@p3259) :args ((forall @t64 (or @t910 @t908 @t1722)))) % 0.74/0.90 (step @p3261 :rule trans :premises (@p3260 @p3252)) % 0.74/0.90 (step @p3262 :rule trans :premises (@p3261 @p3251)) % 0.74/0.90 (step @p3263 :rule refl :args (@t1722)) % 0.74/0.90 (step @p3264 :rule refl :args (@t909)) % 0.74/0.90 (step @p3265 :rule refl :args (@t61)) % 0.74/0.90 (step @p3266 :rule cong :premises (@p3265 @p3264) :args ((= @t61 @t909))) % 0.74/0.90 (step @p3267 :rule symm :premises (@p3266)) % 0.74/0.90 (step @p3268 :rule eq_resolve :premises (@p3265 @p3267)) % 0.74/0.90 (step @p3269 :rule cong :premises (@p3268) :args (@t1723)) % 0.74/0.90 (step @p3270 :rule nary_cong :premises (@p3269 @p3254 @p3263) :args (@t1724)) % 0.74/0.90 (step @p3271 :rule cong :premises (@p3270) :args ((forall @t64 @t1724))) % 0.74/0.90 (step @p3272 :rule trans :premises (@p3271 @p3262)) % 0.74/0.90 (step @p3273 :rule aci_norm :args ((= (or (or @t1723 @t908) @t1722) @t1724))) % 0.74/0.90 (step @p3274 :rule bool-and-de-morgan :args (@t61 @t907 true)) % 0.74/0.90 (step @p3275 :rule nary_cong :premises (@p3274 @p3263) :args ((or (not @t1725) @t1722))) % 0.74/0.90 (step @p3276 :rule trans :premises (@p3275 @p3273)) % 0.74/0.90 (step @p3277 :rule bool-impl-elim :args (@t1725 @t1722)) % 0.74/0.90 (step @p3278 :rule trans :premises (@p3277 @p3276)) % 0.74/0.90 (step @p3279 :rule cong :premises (@p3278) :args ((forall @t64 (=> @t1725 @t1722)))) % 0.74/0.90 (step @p3280 :rule trans :premises (@p3279 @p3272)) % 0.74/0.90 (step @p3281 :rule refl :args (@t905)) % 0.74/0.90 (step @p3282 :rule refl :args (@t54)) % 0.74/0.90 (step @p3283 :rule cong :premises (@p3282 @p3281) :args ((= @t54 @t905))) % 0.74/0.90 (step @p3284 :rule symm :premises (@p3283)) % 0.74/0.90 (step @p3285 :rule eq_resolve :premises (@p3282 @p3284)) % 0.74/0.90 (step @p3286 :rule cong :premises (@p3285) :args (@t1726)) % 0.74/0.90 (step @p3287 :rule nary_cong :premises (@p3286 @p660) :args (@t1727)) % 0.74/0.90 (step @p3288 :rule cong :premises (@p3287) :args ((forall @t9 @t1727))) % 0.74/0.90 (step @p3289 :rule bool-impl-elim :args (@t54 @t7)) % 0.74/0.90 (step @p3290 :rule cong :premises (@p3289) :args (@t57)) % 0.74/0.90 (step @p3291 :rule trans :premises (@p3290 @p3288)) % 0.74/0.90 (step @p3292 :rule refl :args ((tptp.in @t51 @t2))) % 0.74/0.90 (step @p3293 :rule refl :args (@t903)) % 0.74/0.90 (step @p3294 :rule cong :premises (@p3293 @p368) :args (@t904)) % 0.74/0.90 (step @p3295 :rule trans :premises (@p3294 @p3292)) % 0.74/0.90 (step @p3296 :rule ho_cong :premises (@p373 @p3293)) % 0.74/0.90 (step @p3297 :rule ho_cong :premises (@p3296 @p368)) % 0.74/0.90 (step @p3298 :rule cong :premises (@p3297 @p3295) :args ((= (_ @t1728 @t2) @t904))) % 0.74/0.90 (step @p3299 :rule symm :premises (@p3298)) % 0.74/0.90 (step @p3300 :rule refl :args (@t58)) % 0.74/0.90 (step @p3301 :rule eq_resolve :premises (@p3300 @p3299)) % 0.74/0.90 (step @p3302 :rule refl :args (@t51)) % 0.74/0.90 (step @p3303 :rule cong :premises (@p3302 @p3293) :args ((= @t51 @t903))) % 0.74/0.90 (step @p3304 :rule symm :premises (@p3303)) % 0.74/0.90 (step @p3305 :rule eq_resolve :premises (@p3302 @p3304)) % 0.74/0.90 (step @p3306 :rule ho_cong :premises (@p373 @p3305)) % 0.74/0.90 (step @p3307 :rule ho_cong :premises (@p3306 @p368)) % 0.74/0.90 (step @p3308 :rule trans :premises (@p3307 @p3301)) % 0.74/0.90 (step @p3309 :rule nary_cong :premises (@p3286 @p661 @p3308) :args (@t1729)) % 0.74/0.90 (step @p3310 :rule cong :premises (@p3309) :args ((forall @t9 @t1729))) % 0.74/0.90 (step @p3311 :rule aci_norm :args ((= (or (or @t1726 @t197) @t58) @t1729))) % 0.74/0.90 (step @p3312 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 0.74/0.90 (step @p3313 :rule nary_cong :premises (@p3312 @p3300) :args ((or (not @t59) @t58))) % 0.74/0.90 (step @p3314 :rule trans :premises (@p3313 @p3311)) % 0.74/0.90 (step @p3315 :rule bool-impl-elim :args (@t59 @t58)) % 0.74/0.90 (step @p3316 :rule trans :premises (@p3315 @p3314)) % 0.74/0.90 (step @p3317 :rule cong :premises (@p3316) :args (@t60)) % 0.74/0.90 (step @p3318 :rule trans :premises (@p3317 @p3310)) % 0.74/0.90 (step @p3319 :rule refl :args (@t61)) % 0.74/0.90 (step @p3320 :rule nary_cong :premises (@p3319 @p3318) :args (@t62)) % 0.74/0.90 (step @p3321 :rule cong :premises (@p3320 @p3291) :args (@t63)) % 0.74/0.90 (step @p3322 :rule cong :premises (@p3321) :args (@t65)) % 0.74/0.90 (step @p3323 :rule trans :premises (@p3322 @p3280)) % 0.74/0.90 (step @p3324 :rule refl :args (tptp.omegaIndAx)) % 0.74/0.90 (step @p3325 :rule cong :premises (@p3324 @p3323) :args (@t66)) % 0.74/0.90 (step @p3326 :rule eq_resolve :premises (@p8 @p3325)) % 0.74/0.90 (step @p3327 :rule cong :premises (@p3326 @p3249) :args (@t1730)) % 0.74/0.90 (step @p3328 :rule refl :args ((tptp.in @t51 tptp.omega))) % 0.74/0.90 (step @p3329 :rule refl :args (tptp.omega)) % 0.74/0.90 (step @p3330 :rule cong :premises (@p3293 @p3329) :args (@t915)) % 0.74/0.90 (step @p3331 :rule trans :premises (@p3330 @p3328)) % 0.74/0.90 (step @p3332 :rule ho_cong :premises (@p3296 @p3329)) % 0.74/0.90 (step @p3333 :rule cong :premises (@p3332 @p3331) :args ((= (_ @t1728 tptp.omega) @t915))) % 0.74/0.90 (step @p3334 :rule symm :premises (@p3333)) % 0.74/0.90 (step @p3335 :rule refl :args (@t53)) % 0.74/0.90 (step @p3336 :rule eq_resolve :premises (@p3335 @p3334)) % 0.74/0.90 (step @p3337 :rule ho_cong :premises (@p3306 @p3329)) % 0.74/0.90 (step @p3338 :rule trans :premises (@p3337 @p3336)) % 0.74/0.90 (step @p3339 :rule nary_cong :premises (@p3286 @p3338) :args (@t1731)) % 0.74/0.90 (step @p3340 :rule cong :premises (@p3339) :args ((forall @t9 @t1731))) % 0.74/0.90 (step @p3341 :rule bool-impl-elim :args (@t54 @t53)) % 0.74/0.90 (step @p3342 :rule cong :premises (@p3341) :args (@t55)) % 0.74/0.90 (step @p3343 :rule trans :premises (@p3342 @p3340)) % 0.74/0.90 (step @p3344 :rule refl :args (tptp.omegaSAx)) % 0.74/0.90 (step @p3345 :rule cong :premises (@p3344 @p3343) :args (@t56)) % 0.74/0.90 (step @p3346 :rule eq_resolve :premises (@p7 @p3345)) % 0.74/0.90 (step @p3347 :rule cong :premises (@p3346 @p3327) :args (@t1732)) % 0.74/0.90 (step @p3348 :rule cong :premises (@p6 @p3347) :args (@t1733)) % 0.74/0.90 (step @p3349 :rule eq-symm :args (@t747 @t746)) % 0.74/0.90 (step @p3350 :rule cong :premises (@p3349) :args ((forall @t46 (= @t747 @t746)))) % 0.74/0.90 (step @p3351 :rule cong :premises (@p2163 @p2153) :args (@t1734)) % 0.74/0.90 (step @p3352 :rule cong :premises (@p3351) :args ((forall @t46 @t1734))) % 0.74/0.90 (step @p3353 :rule trans :premises (@p3352 @p3350)) % 0.74/0.90 (step @p3354 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 0.74/0.90 (step @p3355 :rule cong :premises (@p3354) :args (@t1735)) % 0.74/0.90 (step @p3356 :rule trans :premises (@p3355 @p2207)) % 0.74/0.90 (step @p3357 :rule cong :premises (@p3356) :args (@t1736)) % 0.74/0.90 (step @p3358 :rule exists-elim :args ((= @t42 @t1736))) % 0.74/0.90 (step @p3359 :rule trans :premises (@p3358 @p3357)) % 0.74/0.90 (step @p3360 :rule cong :premises (@p2226 @p3359) :args (@t45)) % 0.74/0.90 (step @p3361 :rule cong :premises (@p3360) :args (@t47)) % 0.74/0.90 (step @p3362 :rule trans :premises (@p3361 @p3353)) % 0.74/0.90 (step @p3363 :rule refl :args (tptp.setunionAx)) % 0.74/0.90 (step @p3364 :rule cong :premises (@p3363 @p3362) :args (@t48)) % 0.74/0.90 (step @p3365 :rule eq_resolve :premises (@p5 @p3364)) % 0.74/0.90 (step @p3366 :rule cong :premises (@p3365 @p3348) :args (@t1737)) % 0.74/0.90 (step @p3367 :rule eq-symm :args (@t599 @t758)) % 0.74/0.90 (step @p3368 :rule cong :premises (@p3367) :args ((forall @t12 (= @t599 @t758)))) % 0.74/0.90 (step @p3369 :rule refl :args (@t758)) % 0.74/0.90 (step @p3370 :rule cong :premises (@p471 @p3369) :args (@t1738)) % 0.74/0.90 (step @p3371 :rule cong :premises (@p3370) :args ((forall @t12 @t1738))) % 0.74/0.90 (step @p3372 :rule trans :premises (@p3371 @p3368)) % 0.74/0.90 (step @p3373 :rule cong :premises (@p2292 @p2296) :args (@t36)) % 0.74/0.90 (step @p3374 :rule cong :premises (@p3373) :args (@t37)) % 0.74/0.90 (step @p3375 :rule trans :premises (@p3374 @p3372)) % 0.74/0.90 (step @p3376 :rule refl :args (tptp.powersetAx)) % 0.74/0.90 (step @p3377 :rule cong :premises (@p3376 @p3375) :args (@t38)) % 0.74/0.90 (step @p3378 :rule eq_resolve :premises (@p4 @p3377)) % 0.74/0.90 (step @p3379 :rule cong :premises (@p3378 @p3366) :args (@t1739)) % 0.74/0.90 (step @p3380 :rule nary_cong :premises (@p1062 @p2333) :args (@t1478)) % 0.74/0.90 (step @p3381 :rule cong :premises (@p2343 @p3380) :args (@t1740)) % 0.74/0.90 (step @p3382 :rule cong :premises (@p3381) :args ((forall @t28 @t1740))) % 0.74/0.90 (step @p3383 :rule cong :premises (@p2354 @p2353) :args (@t27)) % 0.74/0.90 (step @p3384 :rule cong :premises (@p3383) :args (@t29)) % 0.74/0.90 (step @p3385 :rule trans :premises (@p3384 @p3382)) % 0.74/0.90 (step @p3386 :rule refl :args (tptp.setadjoinAx)) % 0.74/0.90 (step @p3387 :rule cong :premises (@p3386 @p3385) :args (@t30)) % 0.74/0.90 (step @p3388 :rule eq_resolve :premises (@p3 @p3387)) % 0.74/0.90 (step @p3389 :rule cong :premises (@p3388 @p3379) :args (@t1741)) % 0.74/0.90 (step @p3390 :rule refl :args (tptp.emptysetAx)) % 0.74/0.90 (step @p3391 :rule cong :premises (@p3390 @p2658) :args (@t18)) % 0.74/0.90 (step @p3392 :rule eq_resolve :premises (@p2 @p3391)) % 0.74/0.90 (step @p3393 :rule cong :premises (@p3392 @p3389) :args (@t1742)) % 0.74/0.90 (step @p3394 :rule bool-impl-elim :args (@t928 @t3)) % 0.74/0.90 (step @p3395 :rule cong :premises (@p3394) :args ((forall @t12 (=> @t928 @t3)))) % 0.74/0.90 (step @p3396 :rule cong :premises (@p660 @p655) :args (@t8)) % 0.74/0.90 (step @p3397 :rule cong :premises (@p3396) :args (@t10)) % 0.74/0.90 (step @p3398 :rule cong :premises (@p3397 @p963) :args (@t11)) % 0.74/0.90 (step @p3399 :rule cong :premises (@p3398) :args (@t13)) % 0.74/0.90 (step @p3400 :rule trans :premises (@p3399 @p3395)) % 0.74/0.90 (step @p3401 :rule refl :args (tptp.setextAx)) % 0.74/0.90 (step @p3402 :rule cong :premises (@p3401 @p3400) :args (@t14)) % 0.74/0.90 (step @p3403 :rule eq_resolve :premises (@p1 @p3402)) % 0.74/0.90 (step @p3404 :rule cong :premises (@p3403 @p3393) :args (@t1743)) % 0.74/0.90 (step @p3405 :rule cong :premises (@p3404) :args ((not @t1743))) % 0.74/0.90 (step @p3406 :rule trans :premises (@p3405 @p355)) % 0.74/0.90 (step @p3407 :rule cong :premises (@p360 @p359) :args (@t1744)) % 0.74/0.90 (step @p3408 :rule cong :premises (@p3407) :args ((forall @t309 @t1744))) % 0.74/0.90 (step @p3409 :rule refl :args ((tptp.subset @t304 @t2))) % 0.74/0.90 (step @p3410 :rule cong :premises (@p370 @p368) :args (@t1744)) % 0.74/0.90 (step @p3411 :rule trans :premises (@p3410 @p3409)) % 0.74/0.90 (step @p3412 :rule ho_cong :premises (@p410 @p370)) % 0.74/0.90 (step @p3413 :rule ho_cong :premises (@p3412 @p368)) % 0.74/0.90 (step @p3414 :rule cong :premises (@p3413 @p3411) :args ((= (_ (_ tptp.subset @t1011) @t2) @t1744))) % 0.74/0.90 (step @p3415 :rule symm :premises (@p3414)) % 0.74/0.90 (step @p3416 :rule refl :args (@t488)) % 0.74/0.90 (step @p3417 :rule eq_resolve :premises (@p3416 @p3415)) % 0.74/0.90 (step @p3418 :rule ho_cong :premises (@p410 @p396)) % 0.74/0.90 (step @p3419 :rule ho_cong :premises (@p3418 @p368)) % 0.74/0.90 (step @p3420 :rule trans :premises (@p3419 @p3417)) % 0.74/0.90 (step @p3421 :rule cong :premises (@p3420) :args (@t489)) % 0.74/0.90 (step @p3422 :rule trans :premises (@p3421 @p3408)) % 0.74/0.90 (step @p3423 :rule cong :premises (@p402 @p3422) :args (@t490)) % 0.74/0.90 (step @p3424 :rule cong :premises (@p435 @p3423) :args (@t491)) % 0.74/0.90 (step @p3425 :rule cong :premises (@p451 @p3424) :args (@t492)) % 0.74/0.90 (step @p3426 :rule cong :premises (@p478 @p3425) :args (@t493)) % 0.74/0.90 (step @p3427 :rule cong :premises (@p488 @p3426) :args (@t494)) % 0.74/0.90 (step @p3428 :rule cong :premises (@p504 @p3427) :args (@t495)) % 0.74/0.90 (step @p3429 :rule cong :premises (@p520 @p3428) :args (@t496)) % 0.74/0.90 (step @p3430 :rule cong :premises (@p539 @p3429) :args (@t497)) % 0.74/0.90 (step @p3431 :rule cong :premises (@p564 @p3430) :args (@t498)) % 0.74/0.90 (step @p3432 :rule cong :premises (@p584 @p3431) :args (@t499)) % 0.74/0.90 (step @p3433 :rule cong :premises (@p609 @p3432) :args (@t500)) % 0.74/0.90 (step @p3434 :rule cong :premises (@p619 @p3433) :args (@t501)) % 0.74/0.90 (step @p3435 :rule cong :premises (@p677 @p3434) :args (@t502)) % 0.74/0.90 (step @p3436 :rule cong :premises (@p707 @p3435) :args (@t503)) % 0.74/0.90 (step @p3437 :rule cong :premises (@p723 @p3436) :args (@t504)) % 0.74/0.90 (step @p3438 :rule cong :premises (@p739 @p3437) :args (@t505)) % 0.74/0.90 (step @p3439 :rule cong :premises (@p753 @p3438) :args (@t506)) % 0.74/0.90 (step @p3440 :rule cong :premises (@p763 @p3439) :args (@t507)) % 0.74/0.90 (step @p3441 :rule cong :premises (@p768 @p3440) :args (@t508)) % 0.74/0.90 (step @p3442 :rule cong :premises (@p809 @p3441) :args (@t509)) % 0.74/0.90 (step @p3443 :rule cong :premises (@p829 @p3442) :args (@t510)) % 0.74/0.90 (step @p3444 :rule cong :premises (@p833 @p3443) :args (@t511)) % 0.74/0.90 (step @p3445 :rule cong :premises (@p967 @p3444) :args (@t512)) % 0.74/0.90 (step @p3446 :rule cong :premises (@p1135 @p3445) :args (@t513)) % 0.74/0.90 (step @p3447 :rule cong :premises (@p1206 @p3446) :args (@t514)) % 0.74/0.90 (step @p3448 :rule cong :premises (@p1218 @p3447) :args (@t515)) % 0.74/0.90 (step @p3449 :rule cong :premises (@p1260 @p3448) :args (@t516)) % 0.74/0.90 (step @p3450 :rule cong :premises (@p1290 @p3449) :args (@t517)) % 0.74/0.90 (step @p3451 :rule cong :premises (@p1365 @p3450) :args (@t518)) % 0.74/0.90 (step @p3452 :rule cong :premises (@p1374 @p3451) :args (@t519)) % 0.74/0.90 (step @p3453 :rule cong :premises (@p1386 @p3452) :args (@t520)) % 0.74/0.90 (step @p3454 :rule cong :premises (@p1395 @p3453) :args (@t521)) % 0.74/0.90 (step @p3455 :rule cong :premises (@p1456 @p3454) :args (@t522)) % 0.74/0.90 (step @p3456 :rule cong :premises (@p1530 @p3455) :args (@t523)) % 0.74/0.90 (step @p3457 :rule cong :premises (@p1578 @p3456) :args (@t524)) % 0.74/0.90 (step @p3458 :rule cong :premises (@p1617 @p3457) :args (@t525)) % 0.74/0.90 (step @p3459 :rule cong :premises (@p1640 @p3458) :args (@t526)) % 0.74/0.90 (step @p3460 :rule cong :premises (@p1656 @p3459) :args (@t527)) % 0.74/0.90 (step @p3461 :rule cong :premises (@p1697 @p3460) :args (@t528)) % 0.74/0.90 (step @p3462 :rule cong :premises (@p1764 @p3461) :args (@t529)) % 0.74/0.90 (step @p3463 :rule cong :premises (@p1795 @p3462) :args (@t530)) % 0.74/0.90 (step @p3464 :rule cong :premises (@p1804 @p3463) :args (@t531)) % 0.74/0.90 (step @p3465 :rule cong :premises (@p1812 @p3464) :args (@t532)) % 0.74/0.90 (step @p3466 :rule cong :premises (@p1823 @p3465) :args (@t533)) % 0.74/0.90 (step @p3467 :rule cong :premises (@p1831 @p3466) :args (@t534)) % 0.74/0.90 (step @p3468 :rule cong :premises (@p1848 @p3467) :args (@t535)) % 0.74/0.90 (step @p3469 :rule cong :premises (@p1890 @p3468) :args (@t536)) % 0.74/0.90 (step @p3470 :rule cong :premises (@p1924 @p3469) :args (@t537)) % 0.74/0.90 (step @p3471 :rule cong :premises (@p1940 @p3470) :args (@t538)) % 0.74/0.90 (step @p3472 :rule cong :premises (@p1973 @p3471) :args (@t539)) % 0.74/0.90 (step @p3473 :rule cong :premises (@p2008 @p3472) :args (@t540)) % 0.74/0.90 (step @p3474 :rule cong :premises (@p2033 @p3473) :args (@t541)) % 0.74/0.90 (step @p3475 :rule cong :premises (@p2047 @p3474) :args (@t542)) % 0.74/0.90 (step @p3476 :rule cong :premises (@p2056 @p3475) :args (@t543)) % 0.74/0.90 (step @p3477 :rule cong :premises (@p2077 @p3476) :args (@t544)) % 0.74/0.90 (step @p3478 :rule cong :premises (@p2115 @p3477) :args (@t545)) % 0.74/0.90 (step @p3479 :rule cong :premises (@p2149 @p3478) :args (@t546)) % 0.74/0.90 (step @p3480 :rule cong :premises (@p2230 @p3479) :args (@t547)) % 0.74/0.90 (step @p3481 :rule cong :premises (@p2244 @p3480) :args (@t548)) % 0.74/0.90 (step @p3482 :rule cong :premises (@p2259 @p3481) :args (@t549)) % 0.74/0.90 (step @p3483 :rule cong :premises (@p2264 @p3482) :args (@t550)) % 0.74/0.90 (step @p3484 :rule cong :premises (@p2282 @p3483) :args (@t551)) % 0.74/0.90 (step @p3485 :rule cong :premises (@p2300 @p3484) :args (@t552)) % 0.74/0.90 (step @p3486 :rule cong :premises (@p2325 @p3485) :args (@t553)) % 0.74/0.90 (step @p3487 :rule cong :premises (@p2358 @p3486) :args (@t554)) % 0.74/0.90 (step @p3488 :rule cong :premises (@p2413 @p3487) :args (@t555)) % 0.74/0.90 (step @p3489 :rule cong :premises (@p2423 @p3488) :args (@t556)) % 0.74/0.90 (step @p3490 :rule refl :args (tptp.emptyinunitempty)) % 0.74/0.90 (step @p3491 :rule cong :premises (@p3490 @p3489) :args (@t557)) % 0.74/0.90 (step @p3492 :rule cong :premises (@p2444 @p3491) :args (@t558)) % 0.74/0.90 (step @p3493 :rule cong :premises (@p2484 @p3492) :args (@t559)) % 0.74/0.90 (step @p3494 :rule cong :premises (@p2534 @p3493) :args (@t560)) % 0.74/0.90 (step @p3495 :rule cong :premises (@p2548 @p3494) :args (@t561)) % 0.74/0.90 (step @p3496 :rule cong :premises (@p2583 @p3495) :args (@t562)) % 0.74/0.90 (step @p3497 :rule cong :premises (@p2588 @p3496) :args (@t563)) % 0.74/0.90 (step @p3498 :rule cong :premises (@p2601 @p3497) :args (@t564)) % 0.74/0.90 (step @p3499 :rule cong :premises (@p2616 @p3498) :args (@t565)) % 0.74/0.90 (step @p3500 :rule cong :premises (@p2648 @p3499) :args (@t566)) % 0.74/0.90 (step @p3501 :rule cong :premises (@p2657 @p3500) :args (@t567)) % 0.74/0.90 (step @p3502 :rule cong :premises (@p2668 @p3501) :args (@t568)) % 0.74/0.90 (step @p3503 :rule cong :premises (@p2683 @p3502) :args (@t569)) % 0.74/0.90 (step @p3504 :rule cong :premises (@p2719 @p3503) :args (@t570)) % 0.74/0.90 (step @p3505 :rule cong :premises (@p2728 @p3504) :args (@t571)) % 0.74/0.90 (step @p3506 :rule cong :premises (@p2748 @p3505) :args (@t572)) % 0.74/0.90 (step @p3507 :rule cong :premises (@p2761 @p3506) :args (@t573)) % 0.74/0.90 (step @p3508 :rule cong :premises (@p2778 @p3507) :args (@t574)) % 0.74/0.90 (step @p3509 :rule cong :premises (@p2829 @p3508) :args (@t575)) % 0.74/0.90 (step @p3510 :rule cong :premises (@p3100 @p3509) :args (@t576)) % 0.74/0.90 (step @p3511 :rule cong :premises (@p3145 @p3510) :args (@t577)) % 0.74/0.90 (step @p3512 :rule cong :premises (@p3238 @p3511) :args (@t578)) % 0.74/0.90 (step @p3513 :rule cong :premises (@p3324 @p3512) :args (@t579)) % 0.74/0.90 (step @p3514 :rule cong :premises (@p3344 @p3513) :args (@t580)) % 0.74/0.90 (step @p3515 :rule refl :args (tptp.omega0Ax)) % 0.74/0.90 (step @p3516 :rule cong :premises (@p3515 @p3514) :args (@t581)) % 0.74/0.90 (step @p3517 :rule cong :premises (@p3363 @p3516) :args (@t582)) % 0.74/0.90 (step @p3518 :rule cong :premises (@p3376 @p3517) :args (@t583)) % 0.74/0.90 (step @p3519 :rule cong :premises (@p3386 @p3518) :args (@t584)) % 0.74/0.90 (step @p3520 :rule cong :premises (@p3390 @p3519) :args (@t585)) % 0.74/0.90 (step @p3521 :rule cong :premises (@p3401 @p3520) :args (@t586)) % 0.74/0.90 (step @p3522 :rule cong :premises (@p3521) :args (@t587)) % 0.74/0.90 (step @p3523 :rule trans :premises (@p3522 @p3406 @p227)) % 0.74/0.90 (step @p3524 :rule eq_resolve :premises (@p98 @p3523)) % 0.74/0.90 (step @p3525 :rule not_implies_elim2 :premises (@p3524)) % 0.74/0.90 (step @p3526 :rule not_implies_elim2 :premises (@p3525)) % 0.74/0.90 (step @p3527 :rule not_implies_elim2 :premises (@p3526)) % 0.74/0.90 (step @p3528 :rule not_implies_elim2 :premises (@p3527)) % 0.74/0.90 (step @p3529 :rule not_implies_elim2 :premises (@p3528)) % 0.74/0.90 (step @p3530 :rule not_implies_elim2 :premises (@p3529)) % 0.74/0.90 (step @p3531 :rule not_implies_elim2 :premises (@p3530)) % 0.74/0.90 (step @p3532 :rule not_implies_elim2 :premises (@p3531)) % 0.74/0.90 (step @p3533 :rule not_implies_elim2 :premises (@p3532)) % 0.74/0.90 (step @p3534 :rule not_implies_elim2 :premises (@p3533)) % 0.74/0.90 (step @p3535 :rule not_implies_elim2 :premises (@p3534)) % 0.74/0.90 (step @p3536 :rule not_implies_elim2 :premises (@p3535)) % 0.74/0.90 (step @p3537 :rule not_implies_elim2 :premises (@p3536)) % 0.74/0.90 (step @p3538 :rule not_implies_elim2 :premises (@p3537)) % 0.74/0.90 (step @p3539 :rule not_implies_elim2 :premises (@p3538)) % 0.74/0.90 (step @p3540 :rule not_implies_elim2 :premises (@p3539)) % 0.74/0.90 (step @p3541 :rule not_implies_elim2 :premises (@p3540)) % 0.74/0.90 (step @p3542 :rule not_implies_elim2 :premises (@p3541)) % 0.74/0.90 (step @p3543 :rule not_implies_elim2 :premises (@p3542)) % 0.74/0.90 (step @p3544 :rule not_implies_elim2 :premises (@p3543)) % 0.74/0.90 (step @p3545 :rule not_implies_elim2 :premises (@p3544)) % 0.74/0.90 (step @p3546 :rule not_implies_elim2 :premises (@p3545)) % 0.74/0.90 (step @p3547 :rule not_implies_elim2 :premises (@p3546)) % 0.74/0.90 (step @p3548 :rule not_implies_elim2 :premises (@p3547)) % 0.74/0.90 (step @p3549 :rule not_implies_elim2 :premises (@p3548)) % 0.74/0.90 (step @p3550 :rule not_implies_elim2 :premises (@p3549)) % 0.74/0.90 (step @p3551 :rule not_implies_elim2 :premises (@p3550)) % 0.74/0.90 (step @p3552 :rule not_implies_elim2 :premises (@p3551)) % 0.74/0.90 (step @p3553 :rule not_implies_elim2 :premises (@p3552)) % 0.74/0.90 (step @p3554 :rule not_implies_elim2 :premises (@p3553)) % 0.74/0.90 (step @p3555 :rule not_implies_elim2 :premises (@p3554)) % 0.74/0.90 (step @p3556 :rule not_implies_elim2 :premises (@p3555)) % 0.74/0.90 (step @p3557 :rule not_implies_elim2 :premises (@p3556)) % 0.74/0.90 (step @p3558 :rule not_implies_elim2 :premises (@p3557)) % 0.74/0.90 (step @p3559 :rule not_implies_elim2 :premises (@p3558)) % 0.74/0.90 (step @p3560 :rule not_implies_elim2 :premises (@p3559)) % 0.74/0.90 (step @p3561 :rule not_implies_elim2 :premises (@p3560)) % 0.74/0.90 (step @p3562 :rule not_implies_elim2 :premises (@p3561)) % 0.74/0.90 (step @p3563 :rule not_implies_elim2 :premises (@p3562)) % 0.74/0.90 (step @p3564 :rule not_implies_elim2 :premises (@p3563)) % 0.74/0.90 (step @p3565 :rule not_implies_elim2 :premises (@p3564)) % 0.74/0.90 (step @p3566 :rule not_implies_elim2 :premises (@p3565)) % 0.74/0.90 (step @p3567 :rule not_implies_elim2 :premises (@p3566)) % 0.74/0.90 (step @p3568 :rule not_implies_elim2 :premises (@p3567)) % 0.74/0.90 (step @p3569 :rule not_implies_elim2 :premises (@p3568)) % 0.74/0.90 (step @p3570 :rule not_implies_elim2 :premises (@p3569)) % 0.74/0.90 (step @p3571 :rule not_implies_elim2 :premises (@p3570)) % 0.74/0.90 (step @p3572 :rule not_implies_elim2 :premises (@p3571)) % 0.74/0.90 (step @p3573 :rule not_implies_elim2 :premises (@p3572)) % 0.74/0.90 (step @p3574 :rule not_implies_elim2 :premises (@p3573)) % 0.74/0.90 (step @p3575 :rule not_implies_elim2 :premises (@p3574)) % 0.74/0.90 (step @p3576 :rule not_implies_elim2 :premises (@p3575)) % 0.74/0.90 (step @p3577 :rule not_implies_elim2 :premises (@p3576)) % 0.74/0.90 (step @p3578 :rule not_implies_elim2 :premises (@p3577)) % 0.74/0.90 (step @p3579 :rule not_implies_elim2 :premises (@p3578)) % 0.74/0.90 (step @p3580 :rule not_implies_elim2 :premises (@p3579)) % 0.74/0.90 (step @p3581 :rule not_implies_elim2 :premises (@p3580)) % 0.74/0.90 (step @p3582 :rule not_implies_elim2 :premises (@p3581)) % 0.74/0.90 (step @p3583 :rule not_implies_elim2 :premises (@p3582)) % 0.74/0.90 (step @p3584 :rule not_implies_elim2 :premises (@p3583)) % 0.74/0.90 (step @p3585 :rule not_implies_elim2 :premises (@p3584)) % 0.74/0.90 (step @p3586 :rule not_implies_elim2 :premises (@p3585)) % 0.74/0.90 (step @p3587 :rule not_implies_elim2 :premises (@p3586)) % 0.74/0.90 (step @p3588 :rule not_implies_elim2 :premises (@p3587)) % 0.74/0.90 (step @p3589 :rule not_implies_elim2 :premises (@p3588)) % 0.74/0.90 (step @p3590 :rule not_implies_elim2 :premises (@p3589)) % 0.74/0.90 (step @p3591 :rule not_implies_elim2 :premises (@p3590)) % 0.74/0.90 (step @p3592 :rule not_implies_elim2 :premises (@p3591)) % 0.74/0.90 (step @p3593 :rule not_implies_elim2 :premises (@p3592)) % 0.74/0.90 (step @p3594 :rule not_implies_elim2 :premises (@p3593)) % 0.74/0.90 (step @p3595 :rule not_implies_elim2 :premises (@p3594)) % 0.74/0.90 (step @p3596 :rule not_implies_elim2 :premises (@p3595)) % 0.74/0.90 (step @p3597 :rule not_implies_elim2 :premises (@p3596)) % 0.74/0.90 (step @p3598 :rule not_implies_elim2 :premises (@p3597)) % 0.74/0.90 (step @p3599 :rule not_implies_elim2 :premises (@p3598)) % 0.74/0.90 (step @p3600 :rule not_implies_elim2 :premises (@p3599)) % 0.74/0.90 (step @p3601 :rule not_implies_elim2 :premises (@p3600)) % 0.74/0.90 (step @p3602 :rule not_implies_elim2 :premises (@p3601)) % 0.74/0.90 (step @p3603 :rule not_implies_elim2 :premises (@p3602)) % 0.74/0.90 (step @p3604 :rule not_implies_elim2 :premises (@p3603)) % 0.74/0.90 (step @p3605 :rule not_implies_elim2 :premises (@p3604)) % 0.74/0.90 (step @p3606 :rule skolemize :premises (@p3605)) % 0.74/0.90 (step @p3607 :rule not_implies_elim1 :premises (@p3601)) % 0.74/0.90 (step @p3608 :rule instantiate :premises (@p3607) :args ((@list @t1746 @t1747))) % 0.74/0.90 (step @p3609 :rule not_implies_elim1 :premises (@p3604)) % 0.74/0.90 (step @p3610 :rule instantiate :premises (@p3609) :args ((@list @t1746 @t1745))) % 0.74/0.90 (step @p3611 :rule cnf_or_pos :args (@t1751)) % 0.74/0.90 (step @p3612 :rule reordering :premises (@p3611) :args ((or @t1748 @t1750 (not @t1751)))) % 0.74/0.90 (step @p3613 false :rule chain_m_resolution :premises (@p3612 @p3610 @p3608 @p3606) :args (false (@list false false true) (@list @t1749 @t1751 @t1748))) % 0.74/0.90 ) % 0.74/0.90 % SZS output end Proof % 0.74/0.90 % cvc5 exiting %------------------------------------------------------------------------------