%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU566^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:13 AM UTC 2026 % Result : Theorem 0.40s 0.83s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SEU566^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:41:45 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.54 %----Proving TH0 % 0.40/0.83 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.83 % SZS status Theorem % 0.40/0.83 % SZS output start Proof % 0.40/0.83 ( % 0.40/0.83 (declare-sort $$unsorted 0) % 0.40/0.83 (declare-const tptp.emptyset $$unsorted) % 0.40/0.83 (declare-const tptp.emptysetsubset Bool) % 0.40/0.83 (declare-const tptp.subsetI2 Bool) % 0.40/0.83 (declare-const tptp.powerset__Cong Bool) % 0.40/0.83 (declare-const tptp.setadjoin__Cong Bool) % 0.40/0.83 (declare-const tptp.emptyset__Cong Bool) % 0.40/0.83 (declare-const tptp.exu__Cong Bool) % 0.40/0.83 (declare-const tptp.in__Cong Bool) % 0.40/0.83 (declare-const tptp.inCongP Bool) % 0.40/0.83 (declare-const tptp.subsetE2 Bool) % 0.40/0.83 (declare-const tptp.exuI3 Bool) % 0.40/0.83 (declare-const tptp.subsetE Bool) % 0.40/0.83 (declare-const tptp.exuI1 Bool) % 0.40/0.83 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.40/0.83 (declare-const tptp.subsetI1 Bool) % 0.40/0.83 (declare-const tptp.quantDeMorgan3 Bool) % 0.40/0.83 (declare-const tptp.quantDeMorgan2 Bool) % 0.40/0.83 (declare-const tptp.dsetconstr__Cong Bool) % 0.40/0.83 (declare-const tptp.quantDeMorgan1 Bool) % 0.40/0.83 (declare-const tptp.vacuousDall Bool) % 0.40/0.83 (declare-const tptp.emptyE1 Bool) % 0.40/0.83 (declare-const tptp.setunion__Cong Bool) % 0.40/0.83 (declare-const tptp.upairsetIR Bool) % 0.40/0.83 (declare-const tptp.emptysetE Bool) % 0.40/0.83 (declare-const tptp.omega__Cong Bool) % 0.40/0.83 (declare-const tptp.setadjoinIL Bool) % 0.40/0.83 (declare-const tptp.prop2setE Bool) % 0.40/0.83 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.40/0.83 (declare-const tptp.dsetconstrI Bool) % 0.40/0.83 (declare-const tptp.setext Bool) % 0.40/0.83 (declare-const tptp.nonemptyImpWitness Bool) % 0.40/0.83 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.40/0.83 (declare-const tptp.wellorderingAx Bool) % 0.40/0.83 (declare-const tptp.replAx Bool) % 0.40/0.83 (declare-const tptp.upairsetE Bool) % 0.40/0.83 (declare-const tptp.dsetconstrEL Bool) % 0.40/0.83 (declare-const tptp.prop2setI Bool) % 0.40/0.83 (declare-const tptp.emptyinPowerset Bool) % 0.40/0.83 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.83 (declare-const tptp.setextAx Bool) % 0.40/0.83 (declare-const tptp.setadjoinOr Bool) % 0.40/0.83 (declare-const tptp.exuE3u Bool) % 0.40/0.83 (declare-const tptp.uniqinunit Bool) % 0.40/0.83 (declare-const tptp.foundationAx Bool) % 0.40/0.83 (declare-const tptp.emptysetimpfalse Bool) % 0.40/0.83 (declare-const tptp.notinemptyset Bool) % 0.40/0.83 (declare-const tptp.setadjoinIR Bool) % 0.40/0.83 (declare-const tptp.exuE2 Bool) % 0.40/0.83 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.83 (declare-const tptp.notdallE Bool) % 0.40/0.83 (declare-const tptp.dsetconstrER Bool) % 0.40/0.83 (declare-const tptp.eqimpsubset1 Bool) % 0.40/0.83 (declare-const tptp.emptyInPowerset Bool) % 0.40/0.83 (declare-const tptp.exuEu Bool) % 0.40/0.83 (declare-const tptp.setadjoinAx Bool) % 0.40/0.83 (declare-const tptp.nonemptyE1 Bool) % 0.40/0.83 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.83 (declare-const tptp.eqimpsubset2 Bool) % 0.40/0.83 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.83 (declare-const tptp.powersetAx Bool) % 0.40/0.83 (declare-const tptp.prop2set2propI Bool) % 0.40/0.83 (declare-const tptp.powersetE Bool) % 0.40/0.83 (declare-const tptp.omegaSAx Bool) % 0.40/0.83 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.83 (declare-const tptp.descrp Bool) % 0.40/0.83 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.40/0.83 (declare-const tptp.omega0Ax Bool) % 0.40/0.83 (declare-const tptp.setoftrueEq Bool) % 0.40/0.83 (declare-const tptp.setunionAx Bool) % 0.40/0.83 (declare-const tptp.omega $$unsorted) % 0.40/0.83 (declare-const tptp.omegaIndAx Bool) % 0.40/0.83 (declare-const tptp.quantDeMorgan4 Bool) % 0.40/0.83 (declare-const tptp.powersetI Bool) % 0.40/0.83 (declare-const tptp.exuE3e Bool) % 0.40/0.83 (declare-const tptp.emptyI Bool) % 0.40/0.83 (declare-const tptp.noeltsimpempty Bool) % 0.40/0.83 (declare-const tptp.eqinunit Bool) % 0.40/0.83 (declare-const tptp.upairsetIL Bool) % 0.40/0.83 (declare-const tptp.nonemptyI Bool) % 0.40/0.83 (declare-const tptp.emptysetAx Bool) % 0.40/0.83 (declare-const tptp.nonemptyI1 Bool) % 0.40/0.83 (declare-const tptp.descr__Cong Bool) % 0.40/0.83 (declare-const tptp.emptyinunitempty Bool) % 0.40/0.83 (declare-const tptp.setadjoinE Bool) % 0.40/0.83 (declare-const tptp.notdexE Bool) % 0.40/0.83 (declare-const tptp.setunionI Bool) % 0.40/0.83 (declare-const tptp.exuE1 Bool) % 0.40/0.83 (declare-const tptp.setunionE Bool) % 0.40/0.83 (declare-const tptp.exuI2 Bool) % 0.40/0.83 (declare-const tptp.subPowSU Bool) % 0.40/0.83 (declare-const tptp.notinsingleton Bool) % 0.40/0.83 (declare-const tptp.setbeta Bool) % 0.40/0.83 (declare-const tptp.singletonsswitch Bool) % 0.40/0.83 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.40/0.83 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.40/0.83 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.83 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.83 (define @t3 () (= @t2 @t1)) % 0.40/0.83 (define @t4 () (@var "Xx" $$unsorted)) % 0.40/0.83 (define @t5 () (_ tptp.in @t4)) % 0.40/0.83 (define @t6 () (_ @t5 @t1)) % 0.40/0.83 (define @t7 () (_ @t5 @t2)) % 0.40/0.83 (define @t8 () (= @t7 @t6)) % 0.40/0.83 (define @t9 () (@list @t4)) % 0.40/0.83 (define @t10 () (forall @t9 @t8)) % 0.40/0.83 (define @t11 () (=> @t10 @t3)) % 0.40/0.83 (define @t12 () (@list @t2 @t1)) % 0.40/0.83 (define @t13 () (forall @t12 @t11)) % 0.40/0.83 (define @t14 () (= tptp.setextAx @t13)) % 0.40/0.83 (define @t15 () (_ @t5 tptp.emptyset)) % 0.40/0.83 (define @t16 () (not @t15)) % 0.40/0.83 (define @t17 () (forall @t9 @t16)) % 0.40/0.83 (define @t18 () (= tptp.emptysetAx @t17)) % 0.40/0.83 (define @t19 () (@var "Xy" $$unsorted)) % 0.40/0.83 (define @t20 () (_ tptp.in @t19)) % 0.40/0.83 (define @t21 () (_ @t20 @t2)) % 0.40/0.83 (define @t22 () (= @t19 @t4)) % 0.40/0.83 (define @t23 () (or @t22 @t21)) % 0.40/0.83 (define @t24 () (_ tptp.setadjoin @t4)) % 0.40/0.83 (define @t25 () (_ @t24 @t2)) % 0.40/0.83 (define @t26 () (_ @t20 @t25)) % 0.40/0.83 (define @t27 () (= @t26 @t23)) % 0.40/0.83 (define @t28 () (@list @t4 @t2 @t19)) % 0.40/0.83 (define @t29 () (forall @t28 @t27)) % 0.40/0.83 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.40/0.83 (define @t31 () (=> @t6 @t7)) % 0.40/0.83 (define @t32 () (forall @t9 @t31)) % 0.40/0.83 (define @t33 () (_ tptp.powerset @t2)) % 0.40/0.83 (define @t34 () (_ tptp.in @t1)) % 0.40/0.83 (define @t35 () (_ @t34 @t33)) % 0.40/0.83 (define @t36 () (= @t35 @t32)) % 0.40/0.83 (define @t37 () (forall @t12 @t36)) % 0.40/0.83 (define @t38 () (= tptp.powersetAx @t37)) % 0.40/0.83 (define @t39 () (_ @t34 @t2)) % 0.40/0.83 (define @t40 () (and @t6 @t39)) % 0.40/0.83 (define @t41 () (@list @t1)) % 0.40/0.83 (define @t42 () (exists @t41 @t40)) % 0.40/0.83 (define @t43 () (_ tptp.setunion @t2)) % 0.40/0.83 (define @t44 () (_ @t5 @t43)) % 0.40/0.83 (define @t45 () (= @t44 @t42)) % 0.40/0.83 (define @t46 () (@list @t2 @t4)) % 0.40/0.83 (define @t47 () (forall @t46 @t45)) % 0.40/0.83 (define @t48 () (= tptp.setunionAx @t47)) % 0.40/0.83 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.40/0.83 (define @t50 () (_ @t49 tptp.omega)) % 0.40/0.83 (define @t51 () (_ @t24 @t4)) % 0.40/0.83 (define @t52 () (_ tptp.in @t51)) % 0.40/0.83 (define @t53 () (_ @t52 tptp.omega)) % 0.40/0.83 (define @t54 () (_ @t5 tptp.omega)) % 0.40/0.83 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.40/0.83 (define @t56 () (= tptp.omegaSAx @t55)) % 0.40/0.83 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.40/0.83 (define @t58 () (_ @t52 @t2)) % 0.40/0.83 (define @t59 () (and @t54 @t7)) % 0.40/0.83 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.40/0.83 (define @t61 () (_ @t49 @t2)) % 0.40/0.83 (define @t62 () (and @t61 @t60)) % 0.40/0.83 (define @t63 () (=> @t62 @t57)) % 0.40/0.83 (define @t64 () (@list @t2)) % 0.40/0.83 (define @t65 () (forall @t64 @t63)) % 0.40/0.83 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.40/0.83 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.40/0.83 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.40/0.83 (define @t69 () (and @t21 @t68)) % 0.40/0.83 (define @t70 () (@list @t19)) % 0.40/0.83 (define @t71 () (exists @t70 @t69)) % 0.40/0.83 (define @t72 () (= @t6 @t71)) % 0.40/0.83 (define @t73 () (forall @t9 @t72)) % 0.40/0.83 (define @t74 () (exists @t41 @t73)) % 0.40/0.83 (define @t75 () (_ @t67 @t4)) % 0.40/0.83 (define @t76 () (_ @t75 @t19)) % 0.40/0.83 (define @t77 () (lambda @t70 @t76)) % 0.40/0.83 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.40/0.83 (define @t79 () (forall @t9 @t78)) % 0.40/0.83 (define @t80 () (=> @t79 @t74)) % 0.40/0.83 (define @t81 () (@list @t67 @t2)) % 0.40/0.83 (define @t82 () (forall @t81 @t80)) % 0.40/0.83 (define @t83 () (= tptp.replAx @t82)) % 0.40/0.83 (define @t84 () (and @t6 @t7)) % 0.40/0.83 (define @t85 () (exists @t9 @t84)) % 0.40/0.83 (define @t86 () (not @t85)) % 0.40/0.83 (define @t87 () (and @t39 @t86)) % 0.40/0.83 (define @t88 () (exists @t41 @t87)) % 0.40/0.83 (define @t89 () (exists @t9 @t7)) % 0.40/0.83 (define @t90 () (=> @t89 @t88)) % 0.40/0.83 (define @t91 () (forall @t64 @t90)) % 0.40/0.83 (define @t92 () (= tptp.foundationAx @t91)) % 0.40/0.83 (define @t93 () (@var "E" $$unsorted)) % 0.40/0.83 (define @t94 () (_ @t5 @t93)) % 0.40/0.83 (define @t95 () (@var "D" $$unsorted)) % 0.40/0.83 (define @t96 () (_ @t20 @t95)) % 0.40/0.83 (define @t97 () (_ @t20 @t93)) % 0.40/0.83 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.40/0.83 (define @t99 () (or @t98 @t94)) % 0.40/0.83 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.40/0.83 (define @t101 () (=> @t100 @t99)) % 0.40/0.83 (define @t102 () (@list @t93)) % 0.40/0.83 (define @t103 () (forall @t102 @t101)) % 0.40/0.83 (define @t104 () (@var "C" $$unsorted)) % 0.40/0.83 (define @t105 () (_ @t20 @t104)) % 0.40/0.83 (define @t106 () (and @t96 @t105)) % 0.40/0.83 (define @t107 () (exists @t70 @t106)) % 0.40/0.83 (define @t108 () (not @t107)) % 0.40/0.83 (define @t109 () (_ @t5 @t104)) % 0.40/0.83 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.40/0.83 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.40/0.83 (define @t112 () (@list @t95 @t4)) % 0.40/0.83 (define @t113 () (exists @t112 @t111)) % 0.40/0.83 (define @t114 () (exists @t9 @t109)) % 0.40/0.83 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.40/0.83 (define @t116 () (and @t115 @t114)) % 0.40/0.83 (define @t117 () (=> @t116 @t113)) % 0.40/0.83 (define @t118 () (@list @t104)) % 0.40/0.83 (define @t119 () (forall @t118 @t117)) % 0.40/0.83 (define @t120 () (_ @t5 @t95)) % 0.40/0.83 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.40/0.83 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.40/0.83 (define @t123 () (or @t122 @t121)) % 0.40/0.83 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.40/0.83 (define @t125 () (and @t124 @t110)) % 0.40/0.83 (define @t126 () (=> @t125 @t123)) % 0.40/0.83 (define @t127 () (@list @t104 @t95)) % 0.40/0.83 (define @t128 () (forall @t127 @t126)) % 0.40/0.83 (define @t129 () (= @t4 @t19)) % 0.40/0.83 (define @t130 () (= @t109 @t105)) % 0.40/0.83 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.40/0.83 (define @t132 () (=> @t131 @t129)) % 0.40/0.83 (define @t133 () (and @t7 @t21)) % 0.40/0.83 (define @t134 () (=> @t133 @t132)) % 0.40/0.83 (define @t135 () (@list @t4 @t19)) % 0.40/0.83 (define @t136 () (forall @t135 @t134)) % 0.40/0.83 (define @t137 () (=> @t124 @t115)) % 0.40/0.83 (define @t138 () (forall @t118 @t137)) % 0.40/0.83 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.40/0.83 (define @t140 () (exists @t41 @t139)) % 0.40/0.83 (define @t141 () (forall @t64 @t140)) % 0.40/0.83 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.40/0.83 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.83 (define @t144 () (_ @t143 @t4)) % 0.40/0.83 (define @t145 () (lambda @t9 @t144)) % 0.40/0.83 (define @t146 () (_ tptp.descr @t145)) % 0.40/0.83 (define @t147 () (_ @t143 @t146)) % 0.40/0.83 (define @t148 () (_ tptp.exu @t145)) % 0.40/0.83 (define @t149 () (=> @t148 @t147)) % 0.40/0.83 (define @t150 () (@list @t143)) % 0.40/0.83 (define @t151 () (forall @t150 @t149)) % 0.40/0.83 (define @t152 () (= tptp.descrp @t151)) % 0.40/0.83 (define @t153 () (_ @t143 @t19)) % 0.40/0.83 (define @t154 () (lambda @t70 @t153)) % 0.40/0.83 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.40/0.83 (define @t156 () (_ @t155 @t154)) % 0.40/0.83 (define @t157 () (_ @t5 @t156)) % 0.40/0.83 (define @t158 () (=> @t144 @t157)) % 0.40/0.83 (define @t159 () (@list @t2 @t143 @t4)) % 0.40/0.83 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.40/0.83 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.40/0.83 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.40/0.83 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.40/0.83 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.40/0.83 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.40/0.83 (define @t166 () (=> @t153 @t129)) % 0.40/0.83 (define @t167 () (forall @t70 @t166)) % 0.40/0.83 (define @t168 () (and @t144 @t167)) % 0.40/0.83 (define @t169 () (exists @t9 @t168)) % 0.40/0.83 (define @t170 () (=> @t148 @t169)) % 0.40/0.83 (define @t171 () (forall @t150 @t170)) % 0.40/0.83 (define @t172 () (= tptp.exuE1 @t171)) % 0.40/0.83 (define @t173 () (@var "Xphi" Bool)) % 0.40/0.83 (define @t174 () (_ tptp.prop2set @t173)) % 0.40/0.83 (define @t175 () (_ @t5 @t174)) % 0.40/0.83 (define @t176 () (@list @t173 @t4)) % 0.40/0.83 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.40/0.83 (define @t178 () (= tptp.prop2setE @t177)) % 0.40/0.83 (define @t179 () (@list @t173)) % 0.40/0.83 (define @t180 () (forall @t179 @t173)) % 0.40/0.83 (define @t181 () (=> @t15 @t180)) % 0.40/0.83 (define @t182 () (forall @t9 @t181)) % 0.40/0.83 (define @t183 () (= tptp.emptysetE @t182)) % 0.40/0.83 (define @t184 () (forall @t9 (=> @t15 false))) % 0.40/0.83 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.40/0.83 (define @t186 () (exists @t9 @t144)) % 0.40/0.83 (define @t187 () (=> @t148 @t186)) % 0.40/0.83 (define @t188 () (forall @t150 @t187)) % 0.40/0.83 (define @t189 () (= tptp.exuE3e @t188)) % 0.40/0.83 (define @t190 () (=> @t32 @t3)) % 0.40/0.83 (define @t191 () (=> @t7 @t6)) % 0.40/0.83 (define @t192 () (forall @t9 @t191)) % 0.40/0.83 (define @t193 () (=> @t192 @t190)) % 0.40/0.83 (define @t194 () (forall @t12 @t193)) % 0.40/0.83 (define @t195 () (= tptp.setext @t194)) % 0.40/0.83 (define @t196 () (= @t2 tptp.emptyset)) % 0.40/0.83 (define @t197 () (not @t7)) % 0.40/0.83 (define @t198 () (forall @t9 @t197)) % 0.40/0.83 (define @t199 () (=> @t198 @t196)) % 0.40/0.83 (define @t200 () (forall @t64 @t199)) % 0.40/0.83 (define @t201 () (= tptp.emptyI @t200)) % 0.40/0.83 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.40/0.83 (define @t203 () (forall @t159 @t202)) % 0.40/0.83 (define @t204 () (= tptp.setbeta @t203)) % 0.40/0.83 (define @t205 () (_ tptp.nonempty @t2)) % 0.40/0.83 (define @t206 () (=> @t205 @t89)) % 0.40/0.83 (define @t207 () (forall @t64 @t206)) % 0.40/0.83 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.40/0.83 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.40/0.83 (define @t210 () (=> @t7 @t209)) % 0.40/0.83 (define @t211 () (forall @t159 @t210)) % 0.40/0.83 (define @t212 () (= tptp.nonemptyI @t211)) % 0.40/0.83 (define @t213 () (=> @t89 @t205)) % 0.40/0.83 (define @t214 () (forall @t64 @t213)) % 0.40/0.83 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.40/0.83 (define @t216 () (_ @t24 @t19)) % 0.40/0.83 (define @t217 () (_ @t5 @t216)) % 0.40/0.83 (define @t218 () (forall @t135 @t217)) % 0.40/0.83 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.40/0.83 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.40/0.83 (define @t221 () (_ @t49 @t220)) % 0.40/0.83 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.40/0.83 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.40/0.83 (define @t224 () (=> @t21 @t173)) % 0.40/0.83 (define @t225 () (=> @t224 @t173)) % 0.40/0.83 (define @t226 () (=> @t22 @t173)) % 0.40/0.83 (define @t227 () (=> @t226 @t225)) % 0.40/0.83 (define @t228 () (forall @t179 @t227)) % 0.40/0.83 (define @t229 () (=> @t26 @t228)) % 0.40/0.83 (define @t230 () (forall @t28 @t229)) % 0.40/0.83 (define @t231 () (= tptp.setadjoinE @t230)) % 0.40/0.83 (define @t232 () (=> @t26 @t23)) % 0.40/0.83 (define @t233 () (forall @t28 @t232)) % 0.40/0.83 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.40/0.83 (define @t235 () (lambda @t9 true)) % 0.40/0.83 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.40/0.83 (define @t237 () (forall @t64 @t236)) % 0.40/0.83 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.40/0.83 (define @t239 () (=> @t32 @t35)) % 0.40/0.83 (define @t240 () (forall @t12 @t239)) % 0.40/0.83 (define @t241 () (= tptp.powersetI @t240)) % 0.40/0.83 (define @t242 () (_ @t49 @t33)) % 0.40/0.83 (define @t243 () (forall @t64 @t242)) % 0.40/0.83 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.40/0.83 (define @t245 () (@list @t2 @t1 @t4)) % 0.40/0.83 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.40/0.83 (define @t247 () (= tptp.powersetE @t246)) % 0.40/0.83 (define @t248 () (=> @t39 @t44)) % 0.40/0.83 (define @t249 () (@list @t2 @t4 @t1)) % 0.40/0.83 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.40/0.83 (define @t251 () (= tptp.setunionI @t250)) % 0.40/0.83 (define @t252 () (=> @t39 @t173)) % 0.40/0.83 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.40/0.83 (define @t254 () (=> @t253 @t173)) % 0.40/0.83 (define @t255 () (forall @t179 @t254)) % 0.40/0.83 (define @t256 () (=> @t44 @t255)) % 0.40/0.83 (define @t257 () (forall @t46 @t256)) % 0.40/0.83 (define @t258 () (= tptp.setunionE @t257)) % 0.40/0.83 (define @t259 () (_ tptp.powerset @t43)) % 0.40/0.83 (define @t260 () (_ @t5 @t259)) % 0.40/0.83 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.40/0.83 (define @t262 () (= tptp.subPowSU @t261)) % 0.40/0.83 (define @t263 () (= @t153 @t22)) % 0.40/0.83 (define @t264 () (forall @t70 @t263)) % 0.40/0.83 (define @t265 () (exists @t9 @t264)) % 0.40/0.83 (define @t266 () (=> @t148 @t265)) % 0.40/0.83 (define @t267 () (forall @t150 @t266)) % 0.40/0.83 (define @t268 () (= tptp.exuE2 @t267)) % 0.40/0.83 (define @t269 () (and @t7 true)) % 0.40/0.83 (define @t270 () (exists @t9 @t269)) % 0.40/0.83 (define @t271 () (=> @t205 @t270)) % 0.40/0.83 (define @t272 () (forall @t64 @t271)) % 0.40/0.83 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.40/0.83 (define @t274 () (_ tptp.setadjoin @t19)) % 0.40/0.83 (define @t275 () (_ @t274 tptp.emptyset)) % 0.40/0.83 (define @t276 () (_ @t5 @t275)) % 0.40/0.83 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.40/0.83 (define @t278 () (= tptp.uniqinunit @t277)) % 0.40/0.83 (define @t279 () (_ @t24 tptp.emptyset)) % 0.40/0.83 (define @t280 () (_ @t20 @t279)) % 0.40/0.83 (define @t281 () (not @t280)) % 0.40/0.83 (define @t282 () (not @t129)) % 0.40/0.83 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.40/0.83 (define @t284 () (= tptp.notinsingleton @t283)) % 0.40/0.83 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.40/0.83 (define @t286 () (= tptp.eqinunit @t285)) % 0.40/0.83 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.40/0.83 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.40/0.83 (define @t289 () (@var "Xz" $$unsorted)) % 0.40/0.83 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.40/0.83 (define @t291 () (_ @t24 @t275)) % 0.40/0.83 (define @t292 () (_ tptp.in @t289)) % 0.40/0.83 (define @t293 () (_ @t292 @t291)) % 0.40/0.83 (define @t294 () (=> @t293 @t290)) % 0.40/0.83 (define @t295 () (@list @t4 @t19 @t289)) % 0.40/0.83 (define @t296 () (forall @t295 @t294)) % 0.40/0.83 (define @t297 () (= tptp.upairsetE @t296)) % 0.40/0.83 (define @t298 () (_ @t5 @t291)) % 0.40/0.83 (define @t299 () (forall @t135 @t298)) % 0.40/0.83 (define @t300 () (= tptp.upairsetIL @t299)) % 0.40/0.83 (define @t301 () (_ @t20 @t291)) % 0.40/0.83 (define @t302 () (forall @t135 @t301)) % 0.40/0.83 (define @t303 () (= tptp.upairsetIR @t302)) % 0.40/0.83 (define @t304 () (_ @t155 @t145)) % 0.40/0.83 (define @t305 () (= @t304 tptp.emptyset)) % 0.40/0.83 (define @t306 () (and @t7 @t144)) % 0.40/0.83 (define @t307 () (exists @t9 @t306)) % 0.40/0.83 (define @t308 () (=> @t307 (=> @t305 false))) % 0.40/0.83 (define @t309 () (@list @t2 @t143)) % 0.40/0.83 (define @t310 () (forall @t309 @t308)) % 0.40/0.83 (define @t311 () (= tptp.emptyE1 @t310)) % 0.40/0.83 (define @t312 () (@list @t143 @t4)) % 0.40/0.83 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.40/0.83 (define @t314 () (= tptp.vacuousDall @t313)) % 0.40/0.83 (define @t315 () (not @t144)) % 0.40/0.83 (define @t316 () (and @t7 @t315)) % 0.40/0.83 (define @t317 () (exists @t9 @t316)) % 0.40/0.83 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.40/0.83 (define @t319 () (not @t318)) % 0.40/0.83 (define @t320 () (=> @t319 @t317)) % 0.40/0.83 (define @t321 () (forall @t309 @t320)) % 0.40/0.83 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.40/0.83 (define @t323 () (not @t307)) % 0.40/0.83 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.40/0.83 (define @t325 () (=> @t324 @t323)) % 0.40/0.83 (define @t326 () (forall @t309 @t325)) % 0.40/0.83 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.40/0.83 (define @t328 () (=> @t323 @t324)) % 0.40/0.83 (define @t329 () (forall @t309 @t328)) % 0.40/0.83 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.40/0.83 (define @t331 () (=> @t317 @t319)) % 0.40/0.83 (define @t332 () (forall @t309 @t331)) % 0.40/0.83 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.40/0.83 (define @t334 () (_ @t49 @t174)) % 0.40/0.83 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.40/0.83 (define @t336 () (= tptp.prop2setI @t335)) % 0.40/0.83 (define @t337 () (_ tptp.set2prop @t174)) % 0.40/0.83 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.40/0.83 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.40/0.83 (define @t340 () (=> @t169 @t148)) % 0.40/0.83 (define @t341 () (forall @t150 @t340)) % 0.40/0.83 (define @t342 () (= tptp.exuI1 @t341)) % 0.40/0.83 (define @t343 () (forall @t135 (=> @t144 @t166))) % 0.40/0.83 (define @t344 () (=> @t343 @t148)) % 0.40/0.83 (define @t345 () (=> @t186 @t344)) % 0.40/0.83 (define @t346 () (forall @t150 @t345)) % 0.40/0.83 (define @t347 () (= tptp.exuI3 @t346)) % 0.40/0.83 (define @t348 () (=> @t265 @t148)) % 0.40/0.83 (define @t349 () (forall @t150 @t348)) % 0.40/0.83 (define @t350 () (= tptp.exuI2 @t349)) % 0.40/0.83 (define @t351 () (_ @t20 @t1)) % 0.40/0.83 (define @t352 () (=> @t7 @t351)) % 0.40/0.83 (define @t353 () (forall @t135 (=> @t129 @t352))) % 0.40/0.83 (define @t354 () (=> @t3 @t353)) % 0.40/0.83 (define @t355 () (forall @t12 @t354)) % 0.40/0.83 (define @t356 () (= tptp.inCongP @t355)) % 0.40/0.83 (define @t357 () (= @t7 @t351)) % 0.40/0.83 (define @t358 () (forall @t135 (=> @t129 @t357))) % 0.40/0.83 (define @t359 () (=> @t3 @t358)) % 0.40/0.83 (define @t360 () (forall @t12 @t359)) % 0.40/0.83 (define @t361 () (= tptp.in__Cong @t360)) % 0.40/0.83 (define @t362 () (=> @t148 @t343)) % 0.40/0.83 (define @t363 () (forall @t150 @t362)) % 0.40/0.83 (define @t364 () (= tptp.exuE3u @t363)) % 0.40/0.83 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.40/0.83 (define @t366 () (_ @t365 @t4)) % 0.40/0.83 (define @t367 () (lambda @t9 @t366)) % 0.40/0.83 (define @t368 () (_ tptp.exu @t367)) % 0.40/0.83 (define @t369 () (= @t148 @t368)) % 0.40/0.83 (define @t370 () (_ @t365 @t19)) % 0.40/0.83 (define @t371 () (= @t144 @t370)) % 0.40/0.83 (define @t372 () (=> @t129 @t371)) % 0.40/0.83 (define @t373 () (forall @t135 @t372)) % 0.40/0.83 (define @t374 () (=> @t373 @t369)) % 0.40/0.83 (define @t375 () (@list @t143 @t365)) % 0.40/0.83 (define @t376 () (forall @t375 @t374)) % 0.40/0.83 (define @t377 () (= tptp.exu__Cong @t376)) % 0.40/0.83 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 0.40/0.83 (define @t379 () (= tptp.emptyset__Cong @t378)) % 0.40/0.83 (define @t380 () (@var "Xu" $$unsorted)) % 0.40/0.83 (define @t381 () (_ @t274 @t380)) % 0.40/0.83 (define @t382 () (_ @t24 @t289)) % 0.40/0.83 (define @t383 () (= @t382 @t381)) % 0.40/0.83 (define @t384 () (= @t289 @t380)) % 0.40/0.83 (define @t385 () (@list @t289 @t380)) % 0.40/0.83 (define @t386 () (forall @t385 (=> @t384 @t383))) % 0.40/0.83 (define @t387 () (=> @t129 @t386)) % 0.40/0.83 (define @t388 () (forall @t135 @t387)) % 0.40/0.83 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 0.40/0.83 (define @t390 () (_ tptp.powerset @t1)) % 0.40/0.83 (define @t391 () (= @t33 @t390)) % 0.40/0.83 (define @t392 () (forall @t12 (=> @t3 @t391))) % 0.40/0.83 (define @t393 () (= tptp.powerset__Cong @t392)) % 0.40/0.83 (define @t394 () (_ tptp.setunion @t1)) % 0.40/0.83 (define @t395 () (= @t43 @t394)) % 0.40/0.83 (define @t396 () (forall @t12 (=> @t3 @t395))) % 0.40/0.83 (define @t397 () (= tptp.setunion__Cong @t396)) % 0.40/0.83 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.40/0.83 (define @t399 () (= tptp.exuEu @t363)) % 0.40/0.83 (define @t400 () (_ tptp.descr @t367)) % 0.40/0.83 (define @t401 () (= @t146 @t400)) % 0.40/0.83 (define @t402 () (=> @t368 @t401)) % 0.40/0.83 (define @t403 () (=> @t148 @t402)) % 0.40/0.83 (define @t404 () (=> @t373 @t403)) % 0.40/0.83 (define @t405 () (forall @t375 @t404)) % 0.40/0.83 (define @t406 () (= tptp.descr__Cong @t405)) % 0.40/0.83 (define @t407 () (_ tptp.dsetconstr @t1)) % 0.40/0.83 (define @t408 () (_ @t407 @t367)) % 0.40/0.83 (define @t409 () (= @t304 @t408)) % 0.40/0.83 (define @t410 () (forall @t70 (=> @t351 @t372))) % 0.40/0.83 (define @t411 () (=> @t7 @t410)) % 0.40/0.83 (define @t412 () (forall @t9 @t411)) % 0.40/0.83 (define @t413 () (=> @t412 @t409)) % 0.40/0.83 (define @t414 () (forall @t375 @t413)) % 0.40/0.83 (define @t415 () (=> @t3 @t414)) % 0.40/0.83 (define @t416 () (forall @t12 @t415)) % 0.40/0.83 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 0.40/0.83 (define @t418 () (_ (_ tptp.subset @t2) @t1)) % 0.40/0.83 (define @t419 () (=> @t192 @t418)) % 0.40/0.83 (define @t420 () (forall @t12 @t419)) % 0.40/0.83 (define @t421 () (= tptp.subsetI1 @t420)) % 0.40/0.83 (define @t422 () (_ (_ tptp.subset @t1) @t2)) % 0.40/0.83 (define @t423 () (forall @t12 (=> @t3 @t422))) % 0.40/0.83 (define @t424 () (= tptp.eqimpsubset2 @t423)) % 0.40/0.83 (define @t425 () (forall @t12 (=> @t3 @t418))) % 0.40/0.83 (define @t426 () (= tptp.eqimpsubset1 @t425)) % 0.40/0.83 (define @t427 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.40/0.83 (define @t428 () (forall @t64 @t427)) % 0.40/0.83 (define @t429 () (= tptp.emptysetsubset @t428)) % 0.40/0.83 (define @t430 () (forall @t245 (=> @t418 @t191))) % 0.40/0.83 (define @t431 () (= tptp.subsetE @t430)) % 0.40/0.83 (define @t432 () (not @t6)) % 0.40/0.83 (define @t433 () (=> @t432 @t197)) % 0.40/0.83 (define @t434 () (forall @t245 (=> @t418 @t433))) % 0.40/0.83 (define @t435 () (= tptp.subsetE2 @t434)) % 0.40/0.83 (define @t436 () (not @t418)) % 0.40/0.83 (define @t437 () (=> @t432 @t436)) % 0.40/0.83 (define @t438 () (forall @t245 (=> @t7 @t437))) % 0.40/0.83 (define @t439 () (=> tptp.subsetE2 @t438)) % 0.40/0.83 (define @t440 () (=> tptp.subsetE @t439)) % 0.40/0.83 (define @t441 () (=> tptp.emptysetsubset @t440)) % 0.40/0.83 (define @t442 () (=> tptp.subsetI2 @t441)) % 0.40/0.83 (define @t443 () (=> tptp.eqimpsubset1 @t442)) % 0.40/0.83 (define @t444 () (=> tptp.eqimpsubset2 @t443)) % 0.40/0.83 (define @t445 () (=> tptp.subsetI1 @t444)) % 0.40/0.83 (define @t446 () (=> tptp.dsetconstr__Cong @t445)) % 0.40/0.83 (define @t447 () (=> tptp.descr__Cong @t446)) % 0.40/0.83 (define @t448 () (=> tptp.exuEu @t447)) % 0.40/0.83 (define @t449 () (=> tptp.omega__Cong @t448)) % 0.40/0.83 (define @t450 () (=> tptp.setunion__Cong @t449)) % 0.40/0.83 (define @t451 () (=> tptp.powerset__Cong @t450)) % 0.40/0.83 (define @t452 () (=> tptp.setadjoin__Cong @t451)) % 0.40/0.83 (define @t453 () (=> tptp.emptyset__Cong @t452)) % 0.40/0.83 (define @t454 () (=> tptp.exu__Cong @t453)) % 0.40/0.83 (define @t455 () (=> tptp.exuE3u @t454)) % 0.40/0.83 (define @t456 () (=> tptp.in__Cong @t455)) % 0.40/0.83 (define @t457 () (=> tptp.inCongP @t456)) % 0.40/0.83 (define @t458 () (=> tptp.exuI2 @t457)) % 0.40/0.83 (define @t459 () (=> tptp.exuI3 @t458)) % 0.40/0.83 (define @t460 () (=> tptp.exuI1 @t459)) % 0.40/0.83 (define @t461 () (=> tptp.notdallE @t460)) % 0.40/0.83 (define @t462 () (=> tptp.notdexE @t461)) % 0.40/0.83 (define @t463 () (=> tptp.prop2set2propI @t462)) % 0.40/0.83 (define @t464 () (=> tptp.prop2setI @t463)) % 0.40/0.83 (define @t465 () (=> tptp.quantDeMorgan4 @t464)) % 0.40/0.83 (define @t466 () (=> tptp.quantDeMorgan3 @t465)) % 0.40/0.83 (define @t467 () (=> tptp.quantDeMorgan2 @t466)) % 0.40/0.83 (define @t468 () (=> tptp.quantDeMorgan1 @t467)) % 0.40/0.83 (define @t469 () (=> tptp.vacuousDall @t468)) % 0.40/0.83 (define @t470 () (=> tptp.emptyE1 @t469)) % 0.40/0.83 (define @t471 () (=> tptp.upairsetIR @t470)) % 0.40/0.83 (define @t472 () (=> tptp.upairsetIL @t471)) % 0.40/0.83 (define @t473 () (=> tptp.upairsetE @t472)) % 0.40/0.83 (define @t474 () (=> tptp.singletonsswitch @t473)) % 0.40/0.83 (define @t475 () (=> tptp.eqinunit @t474)) % 0.40/0.83 (define @t476 () (=> tptp.notinsingleton @t475)) % 0.40/0.83 (define @t477 () (=> tptp.uniqinunit @t476)) % 0.40/0.83 (define @t478 () (=> tptp.nonemptyImpWitness @t477)) % 0.40/0.83 (define @t479 () (=> tptp.exuE2 @t478)) % 0.40/0.83 (define @t480 () (=> tptp.subPowSU @t479)) % 0.40/0.83 (define @t481 () (=> tptp.setunionE @t480)) % 0.40/0.83 (define @t482 () (=> tptp.setunionI @t481)) % 0.40/0.83 (define @t483 () (=> tptp.powersetE @t482)) % 0.40/0.83 (define @t484 () (=> tptp.emptyInPowerset @t483)) % 0.40/0.83 (define @t485 () (=> tptp.emptyinPowerset @t484)) % 0.40/0.83 (define @t486 () (=> tptp.powersetI @t485)) % 0.40/0.83 (define @t487 () (=> tptp.setoftrueEq @t486)) % 0.40/0.83 (define @t488 () (=> tptp.setadjoinOr @t487)) % 0.40/0.83 (define @t489 () (=> tptp.setadjoinE @t488)) % 0.40/0.83 (define @t490 () (=> tptp.setadjoinIR @t489)) % 0.40/0.83 (define @t491 () (=> tptp.emptyinunitempty @t490)) % 0.40/0.83 (define @t492 () (=> tptp.setadjoinIL @t491)) % 0.40/0.83 (define @t493 () (=> tptp.nonemptyI1 @t492)) % 0.40/0.83 (define @t494 () (=> tptp.nonemptyI @t493)) % 0.40/0.83 (define @t495 () (=> tptp.nonemptyE1 @t494)) % 0.40/0.83 (define @t496 () (=> tptp.setbeta @t495)) % 0.40/0.83 (define @t497 () (=> tptp.noeltsimpempty @t496)) % 0.40/0.83 (define @t498 () (=> tptp.emptyI @t497)) % 0.40/0.83 (define @t499 () (=> tptp.setext @t498)) % 0.40/0.83 (define @t500 () (=> tptp.exuE3e @t499)) % 0.40/0.83 (define @t501 () (=> tptp.notinemptyset @t500)) % 0.40/0.83 (define @t502 () (=> tptp.emptysetimpfalse @t501)) % 0.40/0.83 (define @t503 () (=> tptp.emptysetE @t502)) % 0.40/0.83 (define @t504 () (=> tptp.prop2setE @t503)) % 0.40/0.83 (define @t505 () (=> tptp.exuE1 @t504)) % 0.40/0.83 (define @t506 () (=> tptp.dsetconstrER @t505)) % 0.40/0.83 (define @t507 () (=> tptp.dsetconstrEL @t506)) % 0.40/0.83 (define @t508 () (=> tptp.dsetconstrI @t507)) % 0.40/0.83 (define @t509 () (=> tptp.descrp @t508)) % 0.40/0.83 (define @t510 () (=> tptp.wellorderingAx @t509)) % 0.40/0.83 (define @t511 () (=> tptp.foundationAx @t510)) % 0.40/0.83 (define @t512 () (=> tptp.replAx @t511)) % 0.40/0.83 (define @t513 () (=> tptp.omegaIndAx @t512)) % 0.40/0.83 (define @t514 () (=> tptp.omegaSAx @t513)) % 0.40/0.83 (define @t515 () (=> tptp.omega0Ax @t514)) % 0.40/0.83 (define @t516 () (=> tptp.setunionAx @t515)) % 0.40/0.83 (define @t517 () (=> tptp.powersetAx @t516)) % 0.40/0.83 (define @t518 () (=> tptp.setadjoinAx @t517)) % 0.40/0.83 (define @t519 () (=> tptp.emptysetAx @t518)) % 0.40/0.83 (define @t520 () (=> tptp.setextAx @t519)) % 0.40/0.83 (define @t521 () (not @t520)) % 0.40/0.83 (define @t522 () (lambda @t150 @t169)) % 0.40/0.83 (define @t523 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.40/0.83 (define @t524 () (tptp.subset @t2 @t1)) % 0.40/0.83 (define @t525 () (not @t524)) % 0.40/0.83 (define @t526 () (tptp.in @t4 @t1)) % 0.40/0.83 (define @t527 () (tptp.in @t4 @t2)) % 0.40/0.83 (define @t528 () (not @t527)) % 0.40/0.83 (define @t529 () (or @t528 @t526 @t525)) % 0.40/0.83 (define @t530 () (forall @t245 @t529)) % 0.40/0.83 (define @t531 () (or @t525 @t528 @t526)) % 0.40/0.83 (define @t532 () (forall @t245 @t531)) % 0.40/0.83 (define @t533 () (tptp.subset tptp.emptyset @t2)) % 0.40/0.83 (define @t534 () (forall @t9 (or @t528 @t526))) % 0.40/0.83 (define @t535 () (not @t534)) % 0.40/0.83 (define @t536 () (forall @t12 (or @t535 @t524))) % 0.40/0.83 (define @t537 () (tptp.subset @t1 @t1)) % 0.40/0.83 (define @t538 () (forall @t41 @t537)) % 0.40/0.83 (define @t539 () (@var "BOUND_VARIABLE_9496" (-> $$unsorted Bool))) % 0.40/0.83 (define @t540 () (tptp.dsetconstr @t1 @t539)) % 0.40/0.83 (define @t541 () (@var "BOUND_VARIABLE_9498" (-> $$unsorted Bool))) % 0.40/0.83 (define @t542 () (tptp.dsetconstr @t1 @t541)) % 0.40/0.83 (define @t543 () (= @t542 @t540)) % 0.40/0.83 (define @t544 () (= (_ @t539 @t4) (_ @t541 @t4))) % 0.40/0.83 (define @t545 () (not @t526)) % 0.40/0.83 (define @t546 () (or @t545 @t544)) % 0.40/0.83 (define @t547 () (not (forall @t9 @t546))) % 0.40/0.83 (define @t548 () (or @t547 @t543)) % 0.40/0.83 (define @t549 () (@list @t1 @t539 @t541)) % 0.40/0.83 (define @t550 () (@var "BOUND_VARIABLE_9435" $$unsorted)) % 0.40/0.83 (define @t551 () (_ @t365 @t19)) % 0.40/0.83 (define @t552 () (not @t551)) % 0.40/0.83 (define @t553 () (not (_ @t365 @t550))) % 0.40/0.83 (define @t554 () (@var "BOUND_VARIABLE_9426" $$unsorted)) % 0.40/0.83 (define @t555 () (_ @t143 @t19)) % 0.40/0.83 (define @t556 () (not @t555)) % 0.40/0.83 (define @t557 () (not (_ @t143 @t554))) % 0.40/0.83 (define @t558 () (tptp.descr @t143)) % 0.40/0.83 (define @t559 () (= @t558 (tptp.descr @t365))) % 0.40/0.83 (define @t560 () (= @t555 @t551)) % 0.40/0.83 (define @t561 () (forall @t70 @t560)) % 0.40/0.83 (define @t562 () (not @t561)) % 0.40/0.83 (define @t563 () (@list @t143 @t365 @t554 @t550)) % 0.40/0.83 (define @t564 () (@var "BOUND_VARIABLE_9267" $$unsorted)) % 0.40/0.83 (define @t565 () (@var "BOUND_VARIABLE_9265" $$unsorted)) % 0.40/0.83 (define @t566 () (= @t565 @t564)) % 0.40/0.83 (define @t567 () (not (_ @t143 @t564))) % 0.40/0.83 (define @t568 () (not (_ @t143 @t565))) % 0.40/0.83 (define @t569 () (@var "BOUND_VARIABLE_9256" $$unsorted)) % 0.40/0.83 (define @t570 () (not (_ @t143 @t569))) % 0.40/0.83 (define @t571 () (@list @t143 @t569 @t565 @t564)) % 0.40/0.83 (define @t572 () (forall @t571 (or @t570 (not (forall @t70 (or @t556 (= @t19 @t569)))) @t568 @t567 @t566))) % 0.40/0.83 (define @t573 () (=> @t572 (=> (forall @t563 (or @t562 @t559 @t557 (not (forall @t70 (or @t556 (= @t19 @t554)))) @t553 (not (forall @t70 (or @t552 (= @t19 @t550)))))) (=> (forall @t549 @t548) (=> @t536 (=> @t538 (=> @t538 (=> @t536 (=> (forall @t64 @t533) (=> @t532 (=> (forall @t245 (or @t525 @t526 @t528)) @t530))))))))))) % 0.40/0.83 (define @t574 () (not (forall @t70 (or @t552 @t129)))) % 0.40/0.83 (define @t575 () (_ @t365 @t4)) % 0.40/0.83 (define @t576 () (forall @t9 (or (not @t575) @t574))) % 0.40/0.83 (define @t577 () (not @t576)) % 0.40/0.83 (define @t578 () (forall @t70 (or @t556 @t129))) % 0.40/0.83 (define @t579 () (not @t578)) % 0.40/0.83 (define @t580 () (_ @t143 @t4)) % 0.40/0.83 (define @t581 () (not @t580)) % 0.40/0.83 (define @t582 () (forall @t9 (or @t581 @t579))) % 0.40/0.83 (define @t583 () (not @t582)) % 0.40/0.83 (define @t584 () (= @t583 @t577)) % 0.40/0.83 (define @t585 () (forall @t375 (or @t562 @t584))) % 0.40/0.83 (define @t586 () (@var "BOUND_VARIABLE_9162" $$unsorted)) % 0.40/0.83 (define @t587 () (@list @t143 @t586)) % 0.40/0.83 (define @t588 () (forall @t587 (or (not (forall @t70 (= @t555 (= @t19 @t586)))) @t583))) % 0.40/0.83 (define @t589 () (forall @t135 (or @t581 @t556 @t129))) % 0.40/0.83 (define @t590 () (not @t589)) % 0.40/0.83 (define @t591 () (@var "BOUND_VARIABLE_9146" $$unsorted)) % 0.40/0.83 (define @t592 () (not (_ @t143 @t591))) % 0.40/0.83 (define @t593 () (or @t592 @t590 @t583)) % 0.40/0.83 (define @t594 () (forall (@list @t143 @t591) @t593)) % 0.40/0.83 (define @t595 () (=> @t594 (=> @t588 (=> @t572 (=> @t585 @t573))))) % 0.40/0.83 (define @t596 () (tptp.prop2set true)) % 0.40/0.83 (define @t597 () (tptp.set2prop @t596)) % 0.40/0.83 (define @t598 () (=> @t597 @t595)) % 0.40/0.83 (define @t599 () (tptp.in tptp.emptyset @t596)) % 0.40/0.83 (define @t600 () (=> @t599 @t598)) % 0.40/0.83 (define @t601 () (tptp.in @t4 tptp.emptyset)) % 0.40/0.83 (define @t602 () (not @t601)) % 0.40/0.83 (define @t603 () (forall @t312 (or @t602 @t580))) % 0.40/0.83 (define @t604 () (=> @t603 @t600)) % 0.40/0.83 (define @t605 () (@var "BOUND_VARIABLE_9055" $$unsorted)) % 0.40/0.83 (define @t606 () (not (_ @t143 @t605))) % 0.40/0.83 (define @t607 () (not (tptp.in @t605 @t2))) % 0.40/0.83 (define @t608 () (tptp.dsetconstr @t2 @t143)) % 0.40/0.83 (define @t609 () (not (= tptp.emptyset @t608))) % 0.40/0.83 (define @t610 () (or @t609 @t607 @t606)) % 0.40/0.83 (define @t611 () (@list @t2 @t143 @t605)) % 0.40/0.83 (define @t612 () (forall @t611 @t610)) % 0.40/0.83 (define @t613 () (=> @t612 @t604)) % 0.40/0.83 (define @t614 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.40/0.83 (define @t615 () (tptp.setadjoin @t4 @t614)) % 0.40/0.83 (define @t616 () (tptp.in @t19 @t615)) % 0.40/0.83 (define @t617 () (forall @t135 @t616)) % 0.40/0.83 (define @t618 () (=> @t617 @t613)) % 0.40/0.83 (define @t619 () (tptp.in @t4 @t615)) % 0.40/0.83 (define @t620 () (forall @t135 @t619)) % 0.40/0.83 (define @t621 () (=> @t620 @t618)) % 0.40/0.83 (define @t622 () (= @t19 @t289)) % 0.40/0.83 (define @t623 () (= @t4 @t289)) % 0.40/0.83 (define @t624 () (tptp.in @t289 @t615)) % 0.40/0.83 (define @t625 () (forall @t295 (or (not @t624) @t623 @t622))) % 0.40/0.83 (define @t626 () (=> @t625 @t621)) % 0.40/0.83 (define @t627 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.40/0.83 (define @t628 () (tptp.in @t19 @t627)) % 0.40/0.83 (define @t629 () (tptp.in @t4 @t614)) % 0.40/0.83 (define @t630 () (not @t629)) % 0.40/0.83 (define @t631 () (forall @t135 (or @t630 @t628))) % 0.40/0.83 (define @t632 () (=> @t631 @t626)) % 0.40/0.83 (define @t633 () (tptp.in @t19 @t614)) % 0.40/0.83 (define @t634 () (forall @t70 @t633)) % 0.40/0.83 (define @t635 () (=> @t634 @t632)) % 0.40/0.83 (define @t636 () (forall @t135 (or @t129 (not @t628)))) % 0.40/0.83 (define @t637 () (=> @t636 @t635)) % 0.40/0.83 (define @t638 () (forall @t135 (or @t630 @t129))) % 0.40/0.83 (define @t639 () (=> @t638 @t637)) % 0.40/0.83 (define @t640 () (forall @t9 @t528)) % 0.40/0.83 (define @t641 () (not @t640)) % 0.40/0.83 (define @t642 () (forall @t64 (or @t196 @t641))) % 0.40/0.83 (define @t643 () (=> @t642 @t639)) % 0.40/0.83 (define @t644 () (@var "BOUND_VARIABLE_8939" $$unsorted)) % 0.40/0.83 (define @t645 () (not (_ @t143 @t644))) % 0.40/0.83 (define @t646 () (forall @t70 (= @t129 @t555))) % 0.40/0.83 (define @t647 () (forall @t9 (not @t646))) % 0.40/0.83 (define @t648 () (not @t647)) % 0.40/0.83 (define @t649 () (@list @t143 @t644)) % 0.40/0.83 (define @t650 () (forall @t649 (or @t648 @t645 (not (forall @t70 (or @t556 (= @t19 @t644))))))) % 0.40/0.83 (define @t651 () (=> @t650 @t643)) % 0.40/0.83 (define @t652 () (tptp.setunion @t2)) % 0.40/0.83 (define @t653 () (tptp.powerset @t652)) % 0.40/0.83 (define @t654 () (tptp.in @t4 @t653)) % 0.40/0.83 (define @t655 () (forall @t46 (or @t528 @t654))) % 0.40/0.83 (define @t656 () (=> @t655 @t651)) % 0.40/0.83 (define @t657 () (tptp.in @t1 @t2)) % 0.40/0.83 (define @t658 () (not @t657)) % 0.40/0.83 (define @t659 () (forall @t41 (or @t545 @t658))) % 0.40/0.83 (define @t660 () (not @t659)) % 0.40/0.83 (define @t661 () (tptp.in @t4 @t652)) % 0.40/0.83 (define @t662 () (forall @t46 (or (not @t661) @t660))) % 0.40/0.83 (define @t663 () (=> @t662 @t656)) % 0.40/0.83 (define @t664 () (forall @t249 (or @t545 @t658 @t661))) % 0.40/0.83 (define @t665 () (=> @t664 @t663)) % 0.40/0.83 (define @t666 () (tptp.powerset @t2)) % 0.40/0.83 (define @t667 () (tptp.in @t1 @t666)) % 0.40/0.83 (define @t668 () (forall @t245 (or (not @t667) @t545 @t527))) % 0.40/0.83 (define @t669 () (=> @t668 @t665)) % 0.40/0.83 (define @t670 () (tptp.in tptp.emptyset @t666)) % 0.40/0.83 (define @t671 () (forall @t64 @t670)) % 0.40/0.83 (define @t672 () (=> @t671 @t669)) % 0.40/0.83 (define @t673 () (=> @t671 @t672)) % 0.40/0.83 (define @t674 () (forall @t9 (or @t545 @t527))) % 0.40/0.83 (define @t675 () (not @t674)) % 0.40/0.83 (define @t676 () (forall @t12 (or @t675 @t667))) % 0.40/0.83 (define @t677 () (=> @t676 @t673)) % 0.40/0.83 (define @t678 () (@var "BOUND_VARIABLE_19320" $$unsorted)) % 0.40/0.83 (define @t679 () (lambda (@list @t678) true)) % 0.40/0.83 (define @t680 () (tptp.dsetconstr @t2 @t679)) % 0.40/0.83 (define @t681 () (forall @t64 (= @t2 @t680))) % 0.40/0.83 (define @t682 () (=> @t681 @t677)) % 0.40/0.83 (define @t683 () (tptp.in @t19 @t2)) % 0.40/0.83 (define @t684 () (tptp.setadjoin @t4 @t2)) % 0.40/0.83 (define @t685 () (tptp.in @t19 @t684)) % 0.40/0.83 (define @t686 () (forall @t28 (or (not @t685) @t129 @t683))) % 0.40/0.83 (define @t687 () (=> @t686 @t682)) % 0.40/0.83 (define @t688 () (=> @t686 @t687)) % 0.40/0.83 (define @t689 () (not @t683)) % 0.40/0.83 (define @t690 () (forall @t28 (or @t689 @t685))) % 0.40/0.83 (define @t691 () (=> @t690 @t688)) % 0.40/0.83 (define @t692 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.40/0.83 (define @t693 () (tptp.in tptp.emptyset @t692)) % 0.40/0.83 (define @t694 () (=> @t221 @t691)) % 0.40/0.83 (define @t695 () (tptp.setadjoin @t4 @t19)) % 0.40/0.83 (define @t696 () (tptp.in @t4 @t695)) % 0.40/0.83 (define @t697 () (forall @t135 @t696)) % 0.40/0.83 (define @t698 () (=> @t697 @t694)) % 0.40/0.83 (define @t699 () (@var "BOUND_VARIABLE_8780" $$unsorted)) % 0.40/0.83 (define @t700 () (not (tptp.in @t699 tptp.emptyset))) % 0.40/0.83 (define @t701 () (@list @t699)) % 0.40/0.83 (define @t702 () (forall @t701 @t700)) % 0.40/0.83 (define @t703 () (=> @t702 @t698)) % 0.40/0.83 (define @t704 () (forall @t159 (or @t528 @t581 @t609))) % 0.40/0.83 (define @t705 () (=> @t704 @t703)) % 0.40/0.83 (define @t706 () (=> @t642 @t705)) % 0.40/0.83 (define @t707 () (tptp.in @t4 @t608)) % 0.40/0.83 (define @t708 () (forall @t159 (or @t528 (= @t580 @t707)))) % 0.40/0.83 (define @t709 () (=> @t708 @t706)) % 0.40/0.83 (define @t710 () (forall @t64 (or @t641 @t196))) % 0.40/0.83 (define @t711 () (=> @t710 @t709)) % 0.40/0.83 (define @t712 () (=> @t710 @t711)) % 0.40/0.83 (define @t713 () (or @t535 @t675 @t3)) % 0.40/0.83 (define @t714 () (forall @t12 @t713)) % 0.40/0.83 (define @t715 () (=> @t714 @t712)) % 0.40/0.83 (define @t716 () (@var "BOUND_VARIABLE_8677" $$unsorted)) % 0.40/0.83 (define @t717 () (not (_ @t143 @t716))) % 0.40/0.83 (define @t718 () (forall @t9 @t581)) % 0.40/0.83 (define @t719 () (not @t718)) % 0.40/0.83 (define @t720 () (@list @t143 @t716)) % 0.40/0.83 (define @t721 () (forall @t720 (or @t719 @t717 (not (forall @t70 (or @t556 (= @t19 @t716))))))) % 0.40/0.83 (define @t722 () (=> @t721 @t715)) % 0.40/0.83 (define @t723 () (forall @t9 @t602)) % 0.40/0.83 (define @t724 () (=> @t723 @t722)) % 0.40/0.83 (define @t725 () (=> @t723 @t724)) % 0.40/0.83 (define @t726 () (=> @t723 @t725)) % 0.40/0.83 (define @t727 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.40/0.83 (define @t728 () (forall @t9 @t727)) % 0.40/0.83 (define @t729 () (=> @t728 @t726)) % 0.40/0.83 (define @t730 () (not @t707)) % 0.40/0.83 (define @t731 () (forall @t159 (or @t730 @t580))) % 0.40/0.83 (define @t732 () (=> @t731 @t729)) % 0.40/0.83 (define @t733 () (forall @t159 (or @t730 @t527))) % 0.40/0.83 (define @t734 () (=> @t733 @t732)) % 0.40/0.83 (define @t735 () (forall @t159 (or @t528 @t581 @t707))) % 0.40/0.83 (define @t736 () (=> @t735 @t734)) % 0.40/0.83 (define @t737 () (@var "BOUND_VARIABLE_8576" $$unsorted)) % 0.40/0.83 (define @t738 () (not (_ @t143 @t737))) % 0.40/0.83 (define @t739 () (_ @t143 @t558)) % 0.40/0.83 (define @t740 () (@list @t143 @t737)) % 0.40/0.83 (define @t741 () (forall @t740 (or @t739 @t738 (not (forall @t70 (or @t556 (= @t19 @t737))))))) % 0.40/0.83 (define @t742 () (=> @t741 @t736)) % 0.40/0.83 (define @t743 () (@var "BOUND_VARIABLE_8496" $$unsorted)) % 0.40/0.83 (define @t744 () (tptp.in @t743 @t95)) % 0.40/0.83 (define @t745 () (not (tptp.in @t743 @t93))) % 0.40/0.83 (define @t746 () (tptp.in @t4 @t93)) % 0.40/0.83 (define @t747 () (tptp.in @t93 @t1)) % 0.40/0.83 (define @t748 () (not @t747)) % 0.40/0.83 (define @t749 () (or @t748 @t746 @t745 @t744)) % 0.40/0.83 (define @t750 () (@list @t93 @t743)) % 0.40/0.83 (define @t751 () (forall @t750 @t749)) % 0.40/0.83 (define @t752 () (not @t751)) % 0.40/0.83 (define @t753 () (tptp.in @t19 @t104)) % 0.40/0.83 (define @t754 () (tptp.in @t19 @t95)) % 0.40/0.83 (define @t755 () (forall @t70 (or (not @t754) (not @t753)))) % 0.40/0.83 (define @t756 () (not @t755)) % 0.40/0.83 (define @t757 () (tptp.in @t4 @t104)) % 0.40/0.83 (define @t758 () (not @t757)) % 0.40/0.83 (define @t759 () (tptp.in @t95 @t1)) % 0.40/0.83 (define @t760 () (not @t759)) % 0.40/0.83 (define @t761 () (not (forall @t112 (or @t760 @t758 @t756 @t752)))) % 0.40/0.83 (define @t762 () (@var "BOUND_VARIABLE_8525" $$unsorted)) % 0.40/0.83 (define @t763 () (not (tptp.in @t762 @t104))) % 0.40/0.83 (define @t764 () (forall @t9 (or @t758 @t527))) % 0.40/0.83 (define @t765 () (not @t764)) % 0.40/0.83 (define @t766 () (or @t765 @t763 @t761)) % 0.40/0.83 (define @t767 () (forall (@list @t104 @t762) @t766)) % 0.40/0.83 (define @t768 () (not @t767)) % 0.40/0.83 (define @t769 () (@var "BOUND_VARIABLE_8448" $$unsorted)) % 0.40/0.83 (define @t770 () (tptp.in @t769 @t104)) % 0.40/0.83 (define @t771 () (not (tptp.in @t769 @t95))) % 0.40/0.83 (define @t772 () (@var "BOUND_VARIABLE_8442" $$unsorted)) % 0.40/0.83 (define @t773 () (tptp.in @t772 @t95)) % 0.40/0.83 (define @t774 () (not (tptp.in @t772 @t104))) % 0.40/0.83 (define @t775 () (tptp.in @t104 @t1)) % 0.40/0.83 (define @t776 () (not @t775)) % 0.40/0.83 (define @t777 () (or @t776 @t760 @t774 @t773 @t771 @t770)) % 0.40/0.83 (define @t778 () (@list @t104 @t95 @t772 @t769)) % 0.40/0.83 (define @t779 () (forall @t778 @t777)) % 0.40/0.83 (define @t780 () (not @t779)) % 0.40/0.83 (define @t781 () (forall @t118 (or @t776 (= @t757 @t753)))) % 0.40/0.83 (define @t782 () (not @t781)) % 0.40/0.83 (define @t783 () (forall @t135 (or @t528 @t689 @t782 @t129))) % 0.40/0.83 (define @t784 () (not @t783)) % 0.40/0.83 (define @t785 () (@var "BOUND_VARIABLE_8391" $$unsorted)) % 0.40/0.83 (define @t786 () (tptp.in @t785 @t2)) % 0.40/0.83 (define @t787 () (not (tptp.in @t785 @t104))) % 0.40/0.83 (define @t788 () (or @t776 @t787 @t786)) % 0.40/0.83 (define @t789 () (@list @t104 @t785)) % 0.40/0.83 (define @t790 () (forall @t789 @t788)) % 0.40/0.83 (define @t791 () (not @t790)) % 0.40/0.83 (define @t792 () (or @t791 @t784 @t780 @t768)) % 0.40/0.83 (define @t793 () (forall @t64 (not (forall @t41 @t792)))) % 0.40/0.83 (define @t794 () (=> @t793 @t742)) % 0.40/0.83 (define @t795 () (forall @t9 (or @t545 @t528))) % 0.40/0.83 (define @t796 () (not @t795)) % 0.40/0.83 (define @t797 () (not (forall @t41 (or @t658 @t796)))) % 0.40/0.83 (define @t798 () (@var "BOUND_VARIABLE_8366" $$unsorted)) % 0.40/0.83 (define @t799 () (not (tptp.in @t798 @t2))) % 0.40/0.83 (define @t800 () (or @t799 @t797)) % 0.40/0.83 (define @t801 () (forall (@list @t2 @t798) @t800)) % 0.40/0.83 (define @t802 () (=> @t801 @t794)) % 0.40/0.83 (define @t803 () (_ @t67 @t19 @t4)) % 0.40/0.83 (define @t804 () (not (forall @t70 (or @t689 (not @t803))))) % 0.40/0.83 (define @t805 () (forall @t9 (= @t526 @t804))) % 0.40/0.83 (define @t806 () (not (forall @t41 (not @t805)))) % 0.40/0.83 (define @t807 () (@var "BOUND_VARIABLE_8256" $$unsorted)) % 0.40/0.83 (define @t808 () (= @t19 @t807)) % 0.40/0.83 (define @t809 () (_ @t67 @t4 @t19)) % 0.40/0.83 (define @t810 () (not (forall @t70 (or (not @t809) @t808)))) % 0.40/0.83 (define @t811 () (_ @t67 @t4 @t807)) % 0.40/0.83 (define @t812 () (@list @t807)) % 0.40/0.83 (define @t813 () (not (forall @t812 (or (not @t811) @t810)))) % 0.40/0.83 (define @t814 () (forall @t9 (or @t528 @t813))) % 0.40/0.83 (define @t815 () (forall @t81 (or (not @t814) @t806))) % 0.40/0.83 (define @t816 () (=> @t815 @t802)) % 0.40/0.83 (define @t817 () (@var "BOUND_VARIABLE_8237" $$unsorted)) % 0.40/0.83 (define @t818 () (tptp.in @t817 @t2)) % 0.40/0.83 (define @t819 () (not (tptp.in @t817 tptp.omega))) % 0.40/0.83 (define @t820 () (tptp.setadjoin @t4 @t4)) % 0.40/0.83 (define @t821 () (tptp.in @t820 @t2)) % 0.40/0.83 (define @t822 () (tptp.in @t4 tptp.omega)) % 0.40/0.83 (define @t823 () (not @t822)) % 0.40/0.83 (define @t824 () (forall @t9 (or @t823 @t528 @t821))) % 0.40/0.83 (define @t825 () (not @t824)) % 0.40/0.83 (define @t826 () (tptp.in tptp.emptyset @t2)) % 0.40/0.83 (define @t827 () (not @t826)) % 0.40/0.83 (define @t828 () (or @t827 @t825 @t819 @t818)) % 0.40/0.83 (define @t829 () (@list @t2 @t817)) % 0.40/0.83 (define @t830 () (forall @t829 @t828)) % 0.40/0.83 (define @t831 () (=> @t830 @t816)) % 0.40/0.83 (define @t832 () (tptp.in @t820 tptp.omega)) % 0.40/0.83 (define @t833 () (forall @t9 (or @t823 @t832))) % 0.40/0.83 (define @t834 () (=> @t833 @t831)) % 0.40/0.83 (define @t835 () (tptp.in tptp.emptyset tptp.omega)) % 0.40/0.83 (define @t836 () (=> @t50 @t834)) % 0.40/0.83 (define @t837 () (forall @t46 (= @t660 @t661))) % 0.40/0.83 (define @t838 () (=> @t837 @t836)) % 0.40/0.83 (define @t839 () (forall @t12 (= @t674 @t667))) % 0.40/0.83 (define @t840 () (=> @t839 @t838)) % 0.40/0.83 (define @t841 () (or @t129 @t683)) % 0.40/0.83 (define @t842 () (forall @t28 (= @t685 @t841))) % 0.40/0.83 (define @t843 () (=> @t842 @t840)) % 0.40/0.83 (define @t844 () (=> @t723 @t843)) % 0.40/0.83 (define @t845 () (forall @t9 (= @t527 @t526))) % 0.40/0.83 (define @t846 () (forall @t12 (or (not @t845) @t3))) % 0.40/0.83 (define @t847 () (=> @t846 @t844)) % 0.40/0.83 (define @t848 () (=> true (=> true @t573))) % 0.40/0.83 (define @t849 () (=> true @t848)) % 0.40/0.83 (define @t850 () (=> true @t849)) % 0.40/0.83 (define @t851 () (=> true @t850)) % 0.40/0.83 (define @t852 () (=> @t585 @t851)) % 0.40/0.83 (define @t853 () (=> @t572 @t852)) % 0.40/0.83 (define @t854 () (=> true (=> true @t853))) % 0.40/0.83 (define @t855 () (=> @t588 @t854)) % 0.40/0.83 (define @t856 () (=> @t594 @t855)) % 0.40/0.83 (define @t857 () (=> true (=> true @t856))) % 0.40/0.83 (define @t858 () (=> true @t857)) % 0.40/0.83 (define @t859 () (=> @t597 @t858)) % 0.40/0.83 (define @t860 () (=> @t599 @t859)) % 0.40/0.83 (define @t861 () (=> true (=> true @t860))) % 0.40/0.83 (define @t862 () (=> true @t861)) % 0.40/0.83 (define @t863 () (=> true @t862)) % 0.40/0.83 (define @t864 () (=> @t603 @t863)) % 0.40/0.83 (define @t865 () (=> @t612 @t864)) % 0.40/0.83 (define @t866 () (=> @t617 @t865)) % 0.40/0.83 (define @t867 () (=> @t620 @t866)) % 0.40/0.83 (define @t868 () (=> @t625 @t867)) % 0.40/0.83 (define @t869 () (=> @t631 @t868)) % 0.40/0.83 (define @t870 () (=> @t634 @t869)) % 0.40/0.83 (define @t871 () (=> @t636 @t870)) % 0.40/0.83 (define @t872 () (=> @t638 @t871)) % 0.40/0.83 (define @t873 () (=> @t642 @t872)) % 0.40/0.83 (define @t874 () (=> @t650 @t873)) % 0.40/0.83 (define @t875 () (=> @t655 @t874)) % 0.40/0.83 (define @t876 () (=> @t662 @t875)) % 0.40/0.83 (define @t877 () (=> @t664 @t876)) % 0.40/0.83 (define @t878 () (=> @t668 @t877)) % 0.40/0.83 (define @t879 () (=> @t671 @t878)) % 0.40/0.83 (define @t880 () (=> @t671 @t879)) % 0.40/0.83 (define @t881 () (=> @t676 @t880)) % 0.40/0.83 (define @t882 () (=> @t681 @t881)) % 0.40/0.83 (define @t883 () (=> @t686 @t882)) % 0.40/0.83 (define @t884 () (=> @t686 @t883)) % 0.40/0.83 (define @t885 () (=> @t690 @t884)) % 0.40/0.83 (define @t886 () (=> @t221 @t885)) % 0.40/0.83 (define @t887 () (=> @t697 @t886)) % 0.40/0.83 (define @t888 () (=> @t702 @t887)) % 0.40/0.83 (define @t889 () (=> @t704 @t888)) % 0.40/0.83 (define @t890 () (=> @t642 @t889)) % 0.40/0.83 (define @t891 () (=> @t708 @t890)) % 0.40/0.83 (define @t892 () (=> @t710 @t891)) % 0.40/0.83 (define @t893 () (=> @t710 @t892)) % 0.40/0.83 (define @t894 () (=> @t714 @t893)) % 0.40/0.83 (define @t895 () (=> @t721 @t894)) % 0.40/0.83 (define @t896 () (=> @t723 @t895)) % 0.40/0.83 (define @t897 () (=> @t723 @t896)) % 0.40/0.83 (define @t898 () (=> @t723 @t897)) % 0.40/0.83 (define @t899 () (=> @t728 @t898)) % 0.40/0.83 (define @t900 () (=> @t731 (=> true @t899))) % 0.40/0.83 (define @t901 () (=> @t733 @t900)) % 0.40/0.83 (define @t902 () (=> @t735 @t901)) % 0.40/0.83 (define @t903 () (=> @t741 @t902)) % 0.40/0.83 (define @t904 () (=> @t793 @t903)) % 0.40/0.83 (define @t905 () (=> @t801 @t904)) % 0.40/0.83 (define @t906 () (=> @t815 @t905)) % 0.40/0.83 (define @t907 () (=> @t830 @t906)) % 0.40/0.83 (define @t908 () (=> @t833 @t907)) % 0.40/0.83 (define @t909 () (=> @t50 @t908)) % 0.40/0.83 (define @t910 () (=> @t837 @t909)) % 0.40/0.83 (define @t911 () (=> @t839 @t910)) % 0.40/0.83 (define @t912 () (=> @t842 @t911)) % 0.40/0.83 (define @t913 () (=> @t723 @t912)) % 0.40/0.83 (define @t914 () (=> @t846 @t913)) % 0.40/0.83 (define @t915 () (or @t436 @t6 @t197)) % 0.40/0.83 (define @t916 () (not @t432)) % 0.40/0.83 (define @t917 () (=> tptp.subsetE2 @t530)) % 0.40/0.83 (define @t918 () (or @t436 @t197 @t6)) % 0.40/0.83 (define @t919 () (or @t197 @t6)) % 0.40/0.83 (define @t920 () (=> tptp.subsetE @t917)) % 0.40/0.83 (define @t921 () (=> tptp.emptysetsubset @t920)) % 0.40/0.83 (define @t922 () (or @t535 @t418)) % 0.40/0.83 (define @t923 () (=> tptp.subsetI2 @t921)) % 0.40/0.83 (define @t924 () (not true)) % 0.40/0.83 (define @t925 () (not (= @t1 @t1))) % 0.40/0.83 (define @t926 () (or @t925 @t537)) % 0.40/0.83 (define @t927 () (not @t3)) % 0.40/0.83 (define @t928 () (or @t927 @t927 @t524)) % 0.40/0.83 (define @t929 () (or @t927 @t524)) % 0.40/0.83 (define @t930 () (forall @t64 @t929)) % 0.40/0.83 (define @t931 () (forall @t41 @t930)) % 0.40/0.83 (define @t932 () (@list @t1 @t2)) % 0.40/0.83 (define @t933 () (forall @t932 @t929)) % 0.40/0.83 (define @t934 () (or @t927 @t418)) % 0.40/0.83 (define @t935 () (=> tptp.eqimpsubset1 @t923)) % 0.40/0.83 (define @t936 () (tptp.subset @t1 @t2)) % 0.40/0.83 (define @t937 () (or @t927 @t927 @t936)) % 0.40/0.83 (define @t938 () (or @t927 @t936)) % 0.40/0.83 (define @t939 () (forall @t64 @t938)) % 0.40/0.83 (define @t940 () (forall @t41 @t939)) % 0.40/0.83 (define @t941 () (forall @t932 @t938)) % 0.40/0.83 (define @t942 () (or @t927 @t422)) % 0.40/0.83 (define @t943 () (=> tptp.eqimpsubset2 @t935)) % 0.40/0.83 (define @t944 () (=> tptp.subsetI1 @t943)) % 0.40/0.83 (define @t945 () (or @t545 @t545 @t544)) % 0.40/0.83 (define @t946 () (forall @t9 @t945)) % 0.40/0.83 (define @t947 () (not @t946)) % 0.40/0.83 (define @t948 () (or @t925 @t947 (= @t540 @t542))) % 0.40/0.83 (define @t949 () (= (tptp.dsetconstr @t2 @t539) @t542)) % 0.40/0.83 (define @t950 () (not (forall @t9 (or @t528 @t545 @t544)))) % 0.40/0.83 (define @t951 () (or @t927 @t927 @t950 @t949)) % 0.40/0.83 (define @t952 () (or @t927 @t950 @t949)) % 0.40/0.83 (define @t953 () (forall @t64 @t952)) % 0.40/0.83 (define @t954 () (forall @t549 @t953)) % 0.40/0.83 (define @t955 () (forall (@list @t1 @t539 @t541 @t2) @t952)) % 0.40/0.83 (define @t956 () (@list @t2 @t1 @t539 @t541)) % 0.40/0.83 (define @t957 () (or @t950 @t949)) % 0.40/0.83 (define @t958 () (or @t927 @t957)) % 0.40/0.83 (define @t959 () (forall @t956 @t958)) % 0.40/0.83 (define @t960 () (@list @t539 @t541)) % 0.40/0.83 (define @t961 () (forall @t960 @t958)) % 0.40/0.83 (define @t962 () (forall @t960 @t957)) % 0.40/0.83 (define @t963 () (or @t927 @t962)) % 0.40/0.83 (define @t964 () (= @t580 @t575)) % 0.40/0.83 (define @t965 () (forall @t9 (or @t528 @t545 @t964))) % 0.40/0.83 (define @t966 () (not @t965)) % 0.40/0.83 (define @t967 () (forall @t375 (or @t966 (= @t608 (tptp.dsetconstr @t1 @t365))))) % 0.40/0.83 (define @t968 () (lambda @t9 @t575)) % 0.40/0.83 (define @t969 () (tptp.dsetconstr @t1 @t968)) % 0.40/0.83 (define @t970 () (lambda @t9 @t580)) % 0.40/0.83 (define @t971 () (tptp.dsetconstr @t2 @t970)) % 0.40/0.83 (define @t972 () (= @t971 @t969)) % 0.40/0.83 (define @t973 () (or @t966 @t972)) % 0.40/0.83 (define @t974 () (or @t966 @t409)) % 0.40/0.83 (define @t975 () (or @t197 @t545 @t964)) % 0.40/0.83 (define @t976 () (or @t545 @t964)) % 0.40/0.83 (define @t977 () (not (= @t4 @t4))) % 0.40/0.83 (define @t978 () (or @t545 @t977 @t964)) % 0.40/0.83 (define @t979 () (= @t580 @t551)) % 0.40/0.83 (define @t980 () (tptp.in @t19 @t1)) % 0.40/0.83 (define @t981 () (not @t980)) % 0.40/0.83 (define @t982 () (or @t282 @t981 @t282 @t979)) % 0.40/0.83 (define @t983 () (or @t981 @t282 @t979)) % 0.40/0.83 (define @t984 () (not @t351)) % 0.40/0.83 (define @t985 () (or @t984 @t282 @t371)) % 0.40/0.83 (define @t986 () (or @t282 @t371)) % 0.40/0.83 (define @t987 () (=> tptp.dsetconstr__Cong @t944)) % 0.40/0.83 (define @t988 () (or @t552 (= @t550 @t19))) % 0.40/0.83 (define @t989 () (forall @t70 @t988)) % 0.40/0.83 (define @t990 () (not @t989)) % 0.40/0.83 (define @t991 () (or @t556 (= @t554 @t19))) % 0.40/0.83 (define @t992 () (forall @t70 @t991)) % 0.40/0.83 (define @t993 () (not @t992)) % 0.40/0.83 (define @t994 () (or @t562 @t559 @t557 @t993 @t553 @t990)) % 0.40/0.83 (define @t995 () (or @t553 @t990)) % 0.40/0.83 (define @t996 () (or @t557 @t993)) % 0.40/0.83 (define @t997 () (or @t562 @t996 @t995 @t559)) % 0.40/0.83 (define @t998 () (forall @t563 @t997)) % 0.40/0.83 (define @t999 () (forall (@list @t554 @t550) @t997)) % 0.40/0.83 (define @t1000 () (forall (@list @t550) @t995)) % 0.40/0.83 (define @t1001 () (@list @t4)) % 0.40/0.83 (define @t1002 () (forall (@list @t554) @t996)) % 0.40/0.83 (define @t1003 () (or @t562 @t1002 @t1000 @t559)) % 0.40/0.83 (define @t1004 () (tptp.descr @t968)) % 0.40/0.83 (define @t1005 () (tptp.descr @t970)) % 0.40/0.83 (define @t1006 () (= @t1005 @t1004)) % 0.40/0.83 (define @t1007 () (or @t562 @t582 @t576 @t1006)) % 0.40/0.83 (define @t1008 () (or @t562 @t582 @t576 @t401)) % 0.40/0.83 (define @t1009 () (or @t582 @t576 @t401)) % 0.40/0.83 (define @t1010 () (=> @t577 @t401)) % 0.40/0.83 (define @t1011 () (not @t583)) % 0.40/0.83 (define @t1012 () (=> @t583 @t1010)) % 0.40/0.83 (define @t1013 () (not @t366)) % 0.40/0.83 (define @t1014 () (or @t1013 @t574)) % 0.40/0.83 (define @t1015 () (not @t370)) % 0.40/0.83 (define @t1016 () (or @t1015 @t129)) % 0.40/0.83 (define @t1017 () (_ @t367 @t19)) % 0.40/0.83 (define @t1018 () (not @t1017)) % 0.40/0.83 (define @t1019 () (or @t1018 @t129)) % 0.40/0.83 (define @t1020 () (forall @t70 @t1019)) % 0.40/0.83 (define @t1021 () (not @t1020)) % 0.40/0.83 (define @t1022 () (_ @t367 @t4)) % 0.40/0.83 (define @t1023 () (not @t1022)) % 0.40/0.83 (define @t1024 () (or @t1023 @t1021)) % 0.40/0.83 (define @t1025 () (forall @t9 @t1024)) % 0.40/0.83 (define @t1026 () (not @t1025)) % 0.40/0.83 (define @t1027 () (lambda @t150 @t583)) % 0.40/0.83 (define @t1028 () (_ @t1027 @t367)) % 0.40/0.83 (define @t1029 () (=> @t1028 @t401)) % 0.40/0.83 (define @t1030 () (or @t315 @t579)) % 0.40/0.83 (define @t1031 () (not @t153)) % 0.40/0.83 (define @t1032 () (or @t1031 @t129)) % 0.40/0.83 (define @t1033 () (_ @t145 @t19)) % 0.40/0.83 (define @t1034 () (not @t1033)) % 0.40/0.83 (define @t1035 () (or @t1034 @t129)) % 0.40/0.83 (define @t1036 () (forall @t70 @t1035)) % 0.40/0.83 (define @t1037 () (not @t1036)) % 0.40/0.83 (define @t1038 () (_ @t145 @t4)) % 0.40/0.83 (define @t1039 () (not @t1038)) % 0.40/0.83 (define @t1040 () (or @t1039 @t1037)) % 0.40/0.83 (define @t1041 () (forall @t9 @t1040)) % 0.40/0.83 (define @t1042 () (not @t1041)) % 0.40/0.83 (define @t1043 () (_ @t1027 @t145)) % 0.40/0.83 (define @t1044 () (=> @t1043 @t1029)) % 0.40/0.83 (define @t1045 () (not (= @t19 @t19))) % 0.40/0.83 (define @t1046 () (or @t1045 @t560)) % 0.40/0.83 (define @t1047 () (or @t282 @t282 @t979)) % 0.40/0.83 (define @t1048 () (or @t282 @t979)) % 0.40/0.83 (define @t1049 () (forall @t9 @t1048)) % 0.40/0.83 (define @t1050 () (forall @t70 @t1049)) % 0.40/0.83 (define @t1051 () (@list @t19 @t4)) % 0.40/0.83 (define @t1052 () (forall @t1051 @t1048)) % 0.40/0.83 (define @t1053 () (=> @t373 @t1044)) % 0.40/0.83 (define @t1054 () (forall @t375 @t1053)) % 0.40/0.83 (define @t1055 () (and @t144 @t578)) % 0.40/0.83 (define @t1056 () (forall @t9 (not @t1055))) % 0.40/0.83 (define @t1057 () (not @t1056)) % 0.40/0.83 (define @t1058 () (=> tptp.descr__Cong @t987)) % 0.40/0.83 (define @t1059 () (or @t556 (= @t569 @t19))) % 0.40/0.83 (define @t1060 () (forall @t70 @t1059)) % 0.40/0.83 (define @t1061 () (not @t1060)) % 0.40/0.83 (define @t1062 () (or @t570 @t1061 @t568 @t567 @t566)) % 0.40/0.83 (define @t1063 () (or @t568 @t567 @t566)) % 0.40/0.83 (define @t1064 () (or @t570 @t1061)) % 0.40/0.83 (define @t1065 () (or @t1064 @t1063)) % 0.40/0.83 (define @t1066 () (forall @t571 @t1065)) % 0.40/0.83 (define @t1067 () (forall (@list @t569 @t565 @t564) @t1065)) % 0.40/0.83 (define @t1068 () (forall (@list @t565 @t564) @t1063)) % 0.40/0.83 (define @t1069 () (forall (@list @t569) @t1064)) % 0.40/0.83 (define @t1070 () (or @t1069 @t1068)) % 0.40/0.83 (define @t1071 () (or @t315 @t1031 @t129)) % 0.40/0.83 (define @t1072 () (=> @t1043 @t343)) % 0.40/0.83 (define @t1073 () (forall @t150 @t1072)) % 0.40/0.83 (define @t1074 () (=> tptp.exuEu @t1058)) % 0.40/0.83 (define @t1075 () (=> tptp.omega__Cong @t1074)) % 0.40/0.83 (define @t1076 () (tptp.setunion @t1)) % 0.40/0.83 (define @t1077 () (or @t925 (= @t1076 @t1076))) % 0.40/0.83 (define @t1078 () (= @t652 @t1076)) % 0.40/0.83 (define @t1079 () (or @t927 @t927 @t1078)) % 0.40/0.83 (define @t1080 () (or @t927 @t1078)) % 0.40/0.83 (define @t1081 () (forall @t64 @t1080)) % 0.40/0.83 (define @t1082 () (forall @t41 @t1081)) % 0.40/0.83 (define @t1083 () (forall @t932 @t1080)) % 0.40/0.83 (define @t1084 () (or @t927 @t395)) % 0.40/0.83 (define @t1085 () (=> tptp.setunion__Cong @t1075)) % 0.40/0.83 (define @t1086 () (tptp.powerset @t1)) % 0.40/0.83 (define @t1087 () (or @t925 (= @t1086 @t1086))) % 0.40/0.83 (define @t1088 () (= @t666 @t1086)) % 0.40/0.83 (define @t1089 () (or @t927 @t927 @t1088)) % 0.40/0.83 (define @t1090 () (or @t927 @t1088)) % 0.40/0.83 (define @t1091 () (forall @t64 @t1090)) % 0.40/0.83 (define @t1092 () (forall @t41 @t1091)) % 0.40/0.83 (define @t1093 () (forall @t932 @t1090)) % 0.40/0.83 (define @t1094 () (or @t927 @t391)) % 0.40/0.83 (define @t1095 () (=> tptp.powerset__Cong @t1085)) % 0.40/0.83 (define @t1096 () (@var "BOUND_VARIABLE_9360" $$unsorted)) % 0.40/0.83 (define @t1097 () (@list @t19 @t1096)) % 0.40/0.83 (define @t1098 () (tptp.setadjoin @t19 @t1096)) % 0.40/0.83 (define @t1099 () (or @t1045 (= @t1098 @t1098))) % 0.40/0.83 (define @t1100 () (= @t1098 (tptp.setadjoin @t4 @t1096))) % 0.40/0.83 (define @t1101 () (or @t282 @t282 @t1100)) % 0.40/0.83 (define @t1102 () (or @t282 @t1100)) % 0.40/0.83 (define @t1103 () (forall @t9 @t1102)) % 0.40/0.83 (define @t1104 () (forall @t1097 @t1103)) % 0.40/0.83 (define @t1105 () (forall (@list @t19 @t1096 @t4) @t1102)) % 0.40/0.83 (define @t1106 () (forall (@list @t4 @t19 @t1096) @t1102)) % 0.40/0.83 (define @t1107 () (@list @t1096)) % 0.40/0.83 (define @t1108 () (forall @t1107 @t1102)) % 0.40/0.83 (define @t1109 () (forall @t1107 @t1100)) % 0.40/0.83 (define @t1110 () (or @t282 @t1109)) % 0.40/0.83 (define @t1111 () (tptp.setadjoin @t4 @t380)) % 0.40/0.83 (define @t1112 () (tptp.setadjoin @t19 @t380)) % 0.40/0.83 (define @t1113 () (= @t1112 @t1111)) % 0.40/0.83 (define @t1114 () (@list @t380)) % 0.40/0.83 (define @t1115 () (forall @t1114 @t1113)) % 0.40/0.83 (define @t1116 () (not (= @t380 @t380))) % 0.40/0.83 (define @t1117 () (or @t1116 (= @t1111 @t1112))) % 0.40/0.83 (define @t1118 () (tptp.setadjoin @t4 @t289)) % 0.40/0.83 (define @t1119 () (= @t1118 @t1112)) % 0.40/0.83 (define @t1120 () (not @t384)) % 0.40/0.83 (define @t1121 () (or @t1120 @t1120 @t1119)) % 0.40/0.83 (define @t1122 () (@list @t289)) % 0.40/0.83 (define @t1123 () (or @t1120 @t1119)) % 0.40/0.83 (define @t1124 () (forall @t1122 @t1123)) % 0.40/0.83 (define @t1125 () (forall @t1114 @t1124)) % 0.40/0.83 (define @t1126 () (forall (@list @t380 @t289) @t1123)) % 0.40/0.83 (define @t1127 () (or @t1120 @t383)) % 0.40/0.83 (define @t1128 () (=> tptp.setadjoin__Cong @t1095)) % 0.40/0.83 (define @t1129 () (=> tptp.emptyset__Cong @t1128)) % 0.40/0.83 (define @t1130 () (= @t1043 @t1028)) % 0.40/0.83 (define @t1131 () (=> @t373 @t1130)) % 0.40/0.83 (define @t1132 () (forall @t375 @t1131)) % 0.40/0.83 (define @t1133 () (=> tptp.exu__Cong @t1129)) % 0.40/0.83 (define @t1134 () (=> tptp.exuE3u @t1133)) % 0.40/0.83 (define @t1135 () (@var "BOUND_VARIABLE_9233" $$unsorted)) % 0.40/0.83 (define @t1136 () (@list @t1 @t1135)) % 0.40/0.83 (define @t1137 () (tptp.in @t1135 @t1)) % 0.40/0.83 (define @t1138 () (or @t925 (= @t1137 @t1137))) % 0.40/0.83 (define @t1139 () (= (tptp.in @t1135 @t2) @t1137)) % 0.40/0.83 (define @t1140 () (or @t927 @t927 @t1139)) % 0.40/0.83 (define @t1141 () (or @t927 @t1139)) % 0.40/0.83 (define @t1142 () (forall @t64 @t1141)) % 0.40/0.83 (define @t1143 () (forall @t1136 @t1142)) % 0.40/0.83 (define @t1144 () (forall (@list @t1 @t1135 @t2) @t1141)) % 0.40/0.83 (define @t1145 () (forall (@list @t2 @t1 @t1135) @t1141)) % 0.40/0.83 (define @t1146 () (@list @t1135)) % 0.40/0.83 (define @t1147 () (forall @t1146 @t1141)) % 0.40/0.83 (define @t1148 () (forall @t1146 @t1139)) % 0.40/0.83 (define @t1149 () (@list @t19)) % 0.40/0.83 (define @t1150 () (or @t927 @t1148)) % 0.40/0.83 (define @t1151 () (= @t683 @t980)) % 0.40/0.83 (define @t1152 () (forall @t70 @t1151)) % 0.40/0.83 (define @t1153 () (or @t1045 @t1151)) % 0.40/0.83 (define @t1154 () (= @t527 @t980)) % 0.40/0.83 (define @t1155 () (or @t282 @t282 @t1154)) % 0.40/0.83 (define @t1156 () (or @t282 @t1154)) % 0.40/0.83 (define @t1157 () (forall @t9 @t1156)) % 0.40/0.83 (define @t1158 () (forall @t70 @t1157)) % 0.40/0.83 (define @t1159 () (forall @t1051 @t1156)) % 0.40/0.83 (define @t1160 () (or @t282 @t357)) % 0.40/0.83 (define @t1161 () (=> tptp.in__Cong @t1134)) % 0.40/0.83 (define @t1162 () (@var "BOUND_VARIABLE_9196" $$unsorted)) % 0.40/0.83 (define @t1163 () (@list @t1 @t1162)) % 0.40/0.83 (define @t1164 () (tptp.in @t1162 @t1)) % 0.40/0.83 (define @t1165 () (not @t1164)) % 0.40/0.83 (define @t1166 () (or @t1165 @t1164)) % 0.40/0.83 (define @t1167 () (or @t925 @t1165 @t1164)) % 0.40/0.83 (define @t1168 () (not (tptp.in @t1162 @t2))) % 0.40/0.83 (define @t1169 () (or @t927 @t927 @t1168 @t1164)) % 0.40/0.83 (define @t1170 () (or @t927 @t1168 @t1164)) % 0.40/0.83 (define @t1171 () (forall @t64 @t1170)) % 0.40/0.83 (define @t1172 () (forall @t1163 @t1171)) % 0.40/0.83 (define @t1173 () (forall (@list @t1 @t1162 @t2) @t1170)) % 0.40/0.83 (define @t1174 () (@list @t2 @t1 @t1162)) % 0.40/0.83 (define @t1175 () (or @t1168 @t1164)) % 0.40/0.83 (define @t1176 () (or @t927 @t1175)) % 0.40/0.83 (define @t1177 () (forall @t1174 @t1176)) % 0.40/0.83 (define @t1178 () (@list @t1162)) % 0.40/0.83 (define @t1179 () (forall @t1178 @t1176)) % 0.40/0.83 (define @t1180 () (forall @t1178 @t1175)) % 0.40/0.83 (define @t1181 () (or @t927 @t1180)) % 0.40/0.83 (define @t1182 () (or @t689 @t980)) % 0.40/0.83 (define @t1183 () (forall @t70 @t1182)) % 0.40/0.83 (define @t1184 () (or @t1045 @t689 @t980)) % 0.40/0.83 (define @t1185 () (or @t282 @t282 @t528 @t980)) % 0.40/0.83 (define @t1186 () (or @t282 @t528 @t980)) % 0.40/0.83 (define @t1187 () (forall @t9 @t1186)) % 0.40/0.83 (define @t1188 () (forall @t70 @t1187)) % 0.40/0.83 (define @t1189 () (forall @t1051 @t1186)) % 0.40/0.83 (define @t1190 () (or @t282 @t197 @t351)) % 0.40/0.83 (define @t1191 () (=> tptp.inCongP @t1161)) % 0.40/0.83 (define @t1192 () (= @t586 @t19)) % 0.40/0.83 (define @t1193 () (forall @t70 (= @t1192 @t555))) % 0.40/0.83 (define @t1194 () (not @t1193)) % 0.40/0.83 (define @t1195 () (or @t1194 @t583)) % 0.40/0.83 (define @t1196 () (forall @t587 @t1195)) % 0.40/0.83 (define @t1197 () (@list @t586)) % 0.40/0.83 (define @t1198 () (forall @t1197 @t1195)) % 0.40/0.83 (define @t1199 () (forall @t1197 @t1194)) % 0.40/0.83 (define @t1200 () (or @t1199 @t583)) % 0.40/0.83 (define @t1201 () (= @t153 @t129)) % 0.40/0.83 (define @t1202 () (=> @t265 @t1043)) % 0.40/0.83 (define @t1203 () (forall @t150 @t1202)) % 0.40/0.83 (define @t1204 () (=> tptp.exuI2 @t1191)) % 0.40/0.83 (define @t1205 () (@list @t591)) % 0.40/0.83 (define @t1206 () (forall @t1205 @t593)) % 0.40/0.83 (define @t1207 () (forall @t1205 @t592)) % 0.40/0.83 (define @t1208 () (or @t1207 @t590 @t583)) % 0.40/0.83 (define @t1209 () (or @t718 @t590 @t583)) % 0.40/0.83 (define @t1210 () (=> @t589 @t583)) % 0.40/0.83 (define @t1211 () (=> @t343 @t1043)) % 0.40/0.83 (define @t1212 () (forall @t9 @t315)) % 0.40/0.83 (define @t1213 () (not @t1212)) % 0.40/0.83 (define @t1214 () (=> @t186 @t1211)) % 0.40/0.83 (define @t1215 () (forall @t150 @t1214)) % 0.40/0.83 (define @t1216 () (=> tptp.exuI3 @t1204)) % 0.40/0.83 (define @t1217 () (=> @t169 @t1043)) % 0.40/0.83 (define @t1218 () (forall @t150 @t1217)) % 0.40/0.83 (define @t1219 () (=> tptp.exuI1 @t1216)) % 0.40/0.83 (define @t1220 () (forall @t9 (or @t528 @t580))) % 0.40/0.83 (define @t1221 () (not @t1220)) % 0.40/0.83 (define @t1222 () (or @t197 @t144)) % 0.40/0.83 (define @t1223 () (forall @t9 (not @t316))) % 0.40/0.83 (define @t1224 () (not @t1223)) % 0.40/0.83 (define @t1225 () (=> tptp.notdallE @t1219)) % 0.40/0.83 (define @t1226 () (forall @t9 (or @t528 @t581))) % 0.40/0.83 (define @t1227 () (or @t197 @t315)) % 0.40/0.83 (define @t1228 () (forall @t9 (not @t306))) % 0.40/0.83 (define @t1229 () (not @t1228)) % 0.40/0.83 (define @t1230 () (=> tptp.notdexE @t1225)) % 0.40/0.83 (define @t1231 () (or @t924 @t597)) % 0.40/0.83 (define @t1232 () (tptp.prop2set @t173)) % 0.40/0.83 (define @t1233 () (tptp.set2prop @t1232)) % 0.40/0.83 (define @t1234 () (not @t173)) % 0.40/0.83 (define @t1235 () (not (= @t173 true))) % 0.40/0.83 (define @t1236 () (or @t1234 @t1234 @t1233)) % 0.40/0.83 (define @t1237 () (or @t1234 @t1233)) % 0.40/0.83 (define @t1238 () (or @t1234 @t337)) % 0.40/0.83 (define @t1239 () (=> tptp.prop2set2propI @t1230)) % 0.40/0.83 (define @t1240 () (or @t924 @t599)) % 0.40/0.83 (define @t1241 () (tptp.in tptp.emptyset @t1232)) % 0.40/0.83 (define @t1242 () (or @t1234 @t1234 @t1241)) % 0.40/0.83 (define @t1243 () (or @t1234 @t1241)) % 0.40/0.83 (define @t1244 () (or @t1234 @t334)) % 0.40/0.83 (define @t1245 () (=> tptp.prop2setI @t1239)) % 0.40/0.83 (define @t1246 () (=> tptp.quantDeMorgan4 @t1245)) % 0.40/0.83 (define @t1247 () (=> tptp.quantDeMorgan3 @t1246)) % 0.40/0.83 (define @t1248 () (=> tptp.quantDeMorgan2 @t1247)) % 0.40/0.83 (define @t1249 () (=> tptp.quantDeMorgan1 @t1248)) % 0.40/0.83 (define @t1250 () (or @t16 @t144)) % 0.40/0.83 (define @t1251 () (=> tptp.vacuousDall @t1249)) % 0.40/0.83 (define @t1252 () (or @t607 @t606)) % 0.40/0.83 (define @t1253 () (or @t1252 @t609)) % 0.40/0.83 (define @t1254 () (forall @t611 @t1253)) % 0.40/0.83 (define @t1255 () (@list @t605)) % 0.40/0.83 (define @t1256 () (forall @t1255 @t1253)) % 0.40/0.83 (define @t1257 () (forall @t1255 @t1252)) % 0.40/0.83 (define @t1258 () (or @t1257 @t609)) % 0.40/0.83 (define @t1259 () (= tptp.emptyset @t971)) % 0.40/0.83 (define @t1260 () (not @t1259)) % 0.40/0.83 (define @t1261 () (or @t1226 @t1260)) % 0.40/0.83 (define @t1262 () (= tptp.emptyset @t304)) % 0.40/0.83 (define @t1263 () (not @t1262)) % 0.40/0.83 (define @t1264 () (or @t1226 @t1263)) % 0.40/0.83 (define @t1265 () (not @t1226)) % 0.40/0.83 (define @t1266 () (=> tptp.emptyE1 @t1251)) % 0.40/0.83 (define @t1267 () (=> tptp.upairsetIR @t1266)) % 0.40/0.83 (define @t1268 () (=> tptp.upairsetIL @t1267)) % 0.40/0.83 (define @t1269 () (not @t293)) % 0.40/0.83 (define @t1270 () (or @t1269 @t623 @t622)) % 0.40/0.83 (define @t1271 () (or @t623 @t622)) % 0.40/0.83 (define @t1272 () (=> tptp.upairsetE @t1268)) % 0.40/0.83 (define @t1273 () (not @t276)) % 0.40/0.83 (define @t1274 () (or @t1273 @t280)) % 0.40/0.83 (define @t1275 () (=> tptp.singletonsswitch @t1272)) % 0.40/0.83 (define @t1276 () (or @t1045 @t633)) % 0.40/0.83 (define @t1277 () (or @t282 @t282 @t629)) % 0.40/0.83 (define @t1278 () (or @t282 @t629)) % 0.40/0.83 (define @t1279 () (forall @t9 @t1278)) % 0.40/0.83 (define @t1280 () (forall @t70 @t1279)) % 0.40/0.83 (define @t1281 () (forall @t1051 @t1278)) % 0.40/0.83 (define @t1282 () (or @t282 @t276)) % 0.40/0.83 (define @t1283 () (=> tptp.eqinunit @t1275)) % 0.40/0.83 (define @t1284 () (or @t129 @t281)) % 0.40/0.83 (define @t1285 () (=> tptp.notinsingleton @t1283)) % 0.40/0.83 (define @t1286 () (or @t1273 @t129)) % 0.40/0.83 (define @t1287 () (=> tptp.uniqinunit @t1285)) % 0.40/0.83 (define @t1288 () (not @t196)) % 0.40/0.83 (define @t1289 () (not @t198)) % 0.40/0.83 (define @t1290 () (_ @t523 @t2)) % 0.40/0.83 (define @t1291 () (=> @t1290 @t270)) % 0.40/0.83 (define @t1292 () (forall @t64 @t1291)) % 0.40/0.83 (define @t1293 () (=> tptp.nonemptyImpWitness @t1287)) % 0.40/0.83 (define @t1294 () (or @t556 (= @t644 @t19))) % 0.40/0.83 (define @t1295 () (forall @t70 @t1294)) % 0.40/0.83 (define @t1296 () (not @t1295)) % 0.40/0.83 (define @t1297 () (or @t648 @t645 @t1296)) % 0.40/0.83 (define @t1298 () (or @t645 @t1296)) % 0.40/0.83 (define @t1299 () (or @t1298 @t648)) % 0.40/0.83 (define @t1300 () (forall @t649 @t1299)) % 0.40/0.83 (define @t1301 () (@list @t644)) % 0.40/0.83 (define @t1302 () (forall @t1301 @t1299)) % 0.40/0.83 (define @t1303 () (forall @t1301 @t1298)) % 0.40/0.83 (define @t1304 () (or @t1303 @t648)) % 0.40/0.83 (define @t1305 () (=> @t1043 @t265)) % 0.40/0.83 (define @t1306 () (forall @t150 @t1305)) % 0.40/0.83 (define @t1307 () (=> tptp.exuE2 @t1293)) % 0.40/0.83 (define @t1308 () (or @t197 @t260)) % 0.40/0.83 (define @t1309 () (=> tptp.subPowSU @t1307)) % 0.40/0.83 (define @t1310 () (not @t44)) % 0.40/0.83 (define @t1311 () (or @t1310 @t660)) % 0.40/0.83 (define @t1312 () (not false)) % 0.40/0.83 (define @t1313 () (and @t1312 @t660)) % 0.40/0.83 (define @t1314 () (or @t1313 false)) % 0.40/0.83 (define @t1315 () (and @t1234 @t660)) % 0.40/0.83 (define @t1316 () (not (= @t173 false))) % 0.40/0.83 (define @t1317 () (or @t173 @t1315 @t173)) % 0.40/0.83 (define @t1318 () (or @t1315 @t173)) % 0.40/0.83 (define @t1319 () (or @t173 @t659)) % 0.40/0.83 (define @t1320 () (not @t39)) % 0.40/0.83 (define @t1321 () (or @t432 @t1320)) % 0.40/0.83 (define @t1322 () (forall @t41 @t1321)) % 0.40/0.83 (define @t1323 () (or @t173 @t1322)) % 0.40/0.83 (define @t1324 () (or @t173 @t1321)) % 0.40/0.83 (define @t1325 () (or @t432 @t1320 @t173)) % 0.40/0.83 (define @t1326 () (=> tptp.setunionE @t1309)) % 0.40/0.83 (define @t1327 () (or @t432 @t1320 @t44)) % 0.40/0.83 (define @t1328 () (=> tptp.setunionI @t1326)) % 0.40/0.83 (define @t1329 () (not @t35)) % 0.40/0.83 (define @t1330 () (or @t1329 @t432 @t7)) % 0.40/0.83 (define @t1331 () (or @t432 @t7)) % 0.40/0.83 (define @t1332 () (=> tptp.powersetE @t1328)) % 0.40/0.83 (define @t1333 () (=> tptp.emptyInPowerset @t1332)) % 0.40/0.83 (define @t1334 () (=> tptp.emptyinPowerset @t1333)) % 0.40/0.83 (define @t1335 () (or @t675 @t35)) % 0.40/0.83 (define @t1336 () (=> tptp.powersetI @t1334)) % 0.40/0.83 (define @t1337 () (_ @t155 @t679)) % 0.40/0.83 (define @t1338 () (= @t2 @t1337)) % 0.40/0.83 (define @t1339 () (=> tptp.setoftrueEq @t1336)) % 0.40/0.83 (define @t1340 () (not @t26)) % 0.40/0.83 (define @t1341 () (or @t1340 @t129 @t21)) % 0.40/0.83 (define @t1342 () (or @t129 @t21)) % 0.40/0.83 (define @t1343 () (=> tptp.setadjoinOr @t1339)) % 0.40/0.83 (define @t1344 () (or @t1340 @t129 @t683)) % 0.40/0.83 (define @t1345 () (and @t683 @t1312)) % 0.40/0.83 (define @t1346 () (and @t129 @t1312)) % 0.40/0.83 (define @t1347 () (or @t1346 @t1345)) % 0.40/0.83 (define @t1348 () (or @t1346 @t1345 false)) % 0.40/0.83 (define @t1349 () (and @t683 @t1234)) % 0.40/0.83 (define @t1350 () (and @t129 @t1234)) % 0.40/0.83 (define @t1351 () (or @t173 @t1350 @t1349 @t173)) % 0.40/0.83 (define @t1352 () (or @t1350 @t1349 @t173)) % 0.40/0.83 (define @t1353 () (and @t21 @t1234)) % 0.40/0.83 (define @t1354 () (or @t1350 @t1353 @t173)) % 0.40/0.83 (define @t1355 () (=> @t129 @t173)) % 0.40/0.83 (define @t1356 () (=> tptp.setadjoinE @t1343)) % 0.40/0.83 (define @t1357 () (not @t21)) % 0.40/0.83 (define @t1358 () (or @t1357 @t26)) % 0.40/0.83 (define @t1359 () (=> tptp.setadjoinIR @t1356)) % 0.40/0.83 (define @t1360 () (=> tptp.emptyinunitempty @t1359)) % 0.40/0.83 (define @t1361 () (=> tptp.setadjoinIL @t1360)) % 0.40/0.83 (define @t1362 () (not @t378)) % 0.40/0.83 (define @t1363 () (or @t700 @t1362)) % 0.40/0.83 (define @t1364 () (not (tptp.in @t699 @t2))) % 0.40/0.83 (define @t1365 () (or @t1288 @t1364 @t1288)) % 0.40/0.83 (define @t1366 () (or @t1364 @t1288)) % 0.40/0.83 (define @t1367 () (forall @t64 @t1366)) % 0.40/0.83 (define @t1368 () (forall @t701 @t1367)) % 0.40/0.83 (define @t1369 () (forall (@list @t699 @t2) @t1366)) % 0.40/0.83 (define @t1370 () (forall (@list @t2 @t699) @t1366)) % 0.40/0.83 (define @t1371 () (forall @t701 @t1366)) % 0.40/0.83 (define @t1372 () (forall @t701 @t1364)) % 0.40/0.83 (define @t1373 () (or @t1372 @t1288)) % 0.40/0.83 (define @t1374 () (not @t641)) % 0.40/0.83 (define @t1375 () (=> @t89 @t1290)) % 0.40/0.83 (define @t1376 () (forall @t64 @t1375)) % 0.40/0.83 (define @t1377 () (=> tptp.nonemptyI1 @t1361)) % 0.40/0.83 (define @t1378 () (lambda @t70 @t555)) % 0.40/0.83 (define @t1379 () (tptp.dsetconstr @t2 @t1378)) % 0.40/0.83 (define @t1380 () (= tptp.emptyset @t1379)) % 0.40/0.83 (define @t1381 () (not @t1380)) % 0.40/0.83 (define @t1382 () (or @t528 @t581 @t1381)) % 0.40/0.83 (define @t1383 () (= tptp.emptyset @t156)) % 0.40/0.83 (define @t1384 () (not @t1383)) % 0.40/0.83 (define @t1385 () (or @t197 @t315 @t1384)) % 0.40/0.83 (define @t1386 () (=> @t144 @t1384)) % 0.40/0.83 (define @t1387 () (not (= @t156 tptp.emptyset))) % 0.40/0.83 (define @t1388 () (_ @t523 @t156)) % 0.40/0.83 (define @t1389 () (=> @t144 @t1388)) % 0.40/0.83 (define @t1390 () (=> @t7 @t1389)) % 0.40/0.83 (define @t1391 () (forall @t159 @t1390)) % 0.40/0.83 (define @t1392 () (=> tptp.nonemptyI @t1377)) % 0.40/0.83 (define @t1393 () (=> @t1290 @t89)) % 0.40/0.83 (define @t1394 () (forall @t64 @t1393)) % 0.40/0.83 (define @t1395 () (=> tptp.nonemptyE1 @t1392)) % 0.40/0.83 (define @t1396 () (tptp.in @t4 @t1379)) % 0.40/0.83 (define @t1397 () (= @t580 @t1396)) % 0.40/0.83 (define @t1398 () (or @t528 @t1397)) % 0.40/0.83 (define @t1399 () (= @t144 @t157)) % 0.40/0.83 (define @t1400 () (or @t197 @t1399)) % 0.40/0.83 (define @t1401 () (=> tptp.setbeta @t1395)) % 0.40/0.83 (define @t1402 () (=> tptp.noeltsimpempty @t1401)) % 0.40/0.83 (define @t1403 () (=> tptp.emptyI @t1402)) % 0.40/0.83 (define @t1404 () (=> @t674 @t3)) % 0.40/0.83 (define @t1405 () (=> tptp.setext @t1403)) % 0.40/0.83 (define @t1406 () (or @t556 (= @t716 @t19))) % 0.40/0.83 (define @t1407 () (forall @t70 @t1406)) % 0.40/0.83 (define @t1408 () (not @t1407)) % 0.40/0.83 (define @t1409 () (or @t719 @t717 @t1408)) % 0.40/0.83 (define @t1410 () (or @t717 @t1408)) % 0.40/0.83 (define @t1411 () (or @t1410 @t719)) % 0.40/0.83 (define @t1412 () (forall @t720 @t1411)) % 0.40/0.83 (define @t1413 () (@list @t716)) % 0.40/0.83 (define @t1414 () (forall @t1413 @t1411)) % 0.40/0.83 (define @t1415 () (forall @t1413 @t1410)) % 0.40/0.83 (define @t1416 () (or @t1415 @t719)) % 0.40/0.83 (define @t1417 () (=> @t1043 @t186)) % 0.40/0.83 (define @t1418 () (forall @t150 @t1417)) % 0.40/0.83 (define @t1419 () (=> tptp.exuE3e @t1405)) % 0.40/0.83 (define @t1420 () (=> tptp.notinemptyset @t1419)) % 0.40/0.83 (define @t1421 () (=> tptp.emptysetimpfalse @t1420)) % 0.40/0.83 (define @t1422 () (or @t173 @t173)) % 0.40/0.83 (define @t1423 () (=> tptp.emptysetE @t1421)) % 0.40/0.83 (define @t1424 () (or @t727 false)) % 0.40/0.83 (define @t1425 () (tptp.in @t4 @t1232)) % 0.40/0.83 (define @t1426 () (not @t1425)) % 0.40/0.83 (define @t1427 () (or @t173 @t1426 @t173)) % 0.40/0.83 (define @t1428 () (or @t1426 @t173)) % 0.40/0.83 (define @t1429 () (forall @t179 @t1428)) % 0.40/0.83 (define @t1430 () (forall @t9 @t1429)) % 0.40/0.83 (define @t1431 () (forall (@list @t4 @t173) @t1428)) % 0.40/0.83 (define @t1432 () (not @t175)) % 0.40/0.83 (define @t1433 () (or @t1432 @t173)) % 0.40/0.83 (define @t1434 () (=> tptp.prop2setE @t1423)) % 0.40/0.83 (define @t1435 () (=> @t1043 @t169)) % 0.40/0.83 (define @t1436 () (forall @t150 @t1435)) % 0.40/0.83 (define @t1437 () (=> tptp.exuE1 @t1434)) % 0.40/0.83 (define @t1438 () (not @t1396)) % 0.40/0.83 (define @t1439 () (or @t1438 @t580)) % 0.40/0.83 (define @t1440 () (not @t157)) % 0.40/0.83 (define @t1441 () (or @t1440 @t144)) % 0.40/0.83 (define @t1442 () (=> tptp.dsetconstrER @t1437)) % 0.40/0.83 (define @t1443 () (or @t1438 @t527)) % 0.40/0.83 (define @t1444 () (or @t1440 @t7)) % 0.40/0.83 (define @t1445 () (=> tptp.dsetconstrEL @t1442)) % 0.40/0.83 (define @t1446 () (or @t528 @t581 @t1396)) % 0.40/0.83 (define @t1447 () (or @t197 @t315 @t157)) % 0.40/0.83 (define @t1448 () (=> tptp.dsetconstrI @t1445)) % 0.40/0.83 (define @t1449 () (or @t556 (= @t737 @t19))) % 0.40/0.83 (define @t1450 () (forall @t70 @t1449)) % 0.40/0.83 (define @t1451 () (not @t1450)) % 0.40/0.83 (define @t1452 () (or @t739 @t738 @t1451)) % 0.40/0.83 (define @t1453 () (or @t738 @t1451)) % 0.40/0.83 (define @t1454 () (or @t1453 @t739)) % 0.40/0.83 (define @t1455 () (forall @t740 @t1454)) % 0.40/0.83 (define @t1456 () (@list @t737)) % 0.40/0.83 (define @t1457 () (forall @t1456 @t1454)) % 0.40/0.83 (define @t1458 () (forall @t1456 @t1453)) % 0.40/0.83 (define @t1459 () (or @t1458 @t739)) % 0.40/0.83 (define @t1460 () (_ @t143 @t1005)) % 0.40/0.83 (define @t1461 () (or @t582 @t1460)) % 0.40/0.83 (define @t1462 () (or @t582 @t147)) % 0.40/0.83 (define @t1463 () (=> @t1043 @t147)) % 0.40/0.83 (define @t1464 () (forall @t150 @t1463)) % 0.40/0.83 (define @t1465 () (=> tptp.descrp @t1448)) % 0.40/0.83 (define @t1466 () (and @t790 @t783 @t779 @t767)) % 0.40/0.83 (define @t1467 () (forall @t41 (not @t1466))) % 0.40/0.83 (define @t1468 () (not @t1467)) % 0.40/0.83 (define @t1469 () (@list @t762)) % 0.40/0.83 (define @t1470 () (forall @t1469 @t766)) % 0.40/0.83 (define @t1471 () (forall @t1469 @t763)) % 0.40/0.83 (define @t1472 () (or @t765 @t1471 @t761)) % 0.40/0.83 (define @t1473 () (forall @t9 @t758)) % 0.40/0.83 (define @t1474 () (or @t765 @t1473 @t761)) % 0.40/0.83 (define @t1475 () (not @t1473)) % 0.40/0.83 (define @t1476 () (and @t764 @t1475)) % 0.40/0.83 (define @t1477 () (not @t109)) % 0.40/0.83 (define @t1478 () (not @t110)) % 0.40/0.83 (define @t1479 () (or @t1478 @t1477 @t756 @t752)) % 0.40/0.83 (define @t1480 () (and @t110 @t109 @t755 @t751)) % 0.40/0.83 (define @t1481 () (forall @t112 (not @t1480))) % 0.40/0.83 (define @t1482 () (not @t1481)) % 0.40/0.83 (define @t1483 () (or @t745 @t744)) % 0.40/0.83 (define @t1484 () (or @t748 @t1483 @t746)) % 0.40/0.83 (define @t1485 () (forall @t750 @t1484)) % 0.40/0.83 (define @t1486 () (@list @t743)) % 0.40/0.83 (define @t1487 () (forall @t1486 @t1484)) % 0.40/0.83 (define @t1488 () (forall @t1486 @t1483)) % 0.40/0.83 (define @t1489 () (or @t748 @t1488 @t746)) % 0.40/0.83 (define @t1490 () (tptp.in @t19 @t93)) % 0.40/0.83 (define @t1491 () (forall @t70 (or (not @t1490) @t754))) % 0.40/0.83 (define @t1492 () (not @t100)) % 0.40/0.83 (define @t1493 () (or @t1492 @t1491 @t94)) % 0.40/0.83 (define @t1494 () (or @t1491 @t94)) % 0.40/0.83 (define @t1495 () (not @t97)) % 0.40/0.83 (define @t1496 () (or @t1495 @t96)) % 0.40/0.83 (define @t1497 () (not @t105)) % 0.40/0.83 (define @t1498 () (not @t96)) % 0.40/0.83 (define @t1499 () (or @t1498 @t1497)) % 0.40/0.83 (define @t1500 () (forall @t70 (not @t106))) % 0.40/0.83 (define @t1501 () (not @t1500)) % 0.40/0.83 (define @t1502 () (forall @t9 @t1477)) % 0.40/0.83 (define @t1503 () (not @t1502)) % 0.40/0.83 (define @t1504 () (or @t1477 @t7)) % 0.40/0.83 (define @t1505 () (or @t771 @t770)) % 0.40/0.83 (define @t1506 () (or @t774 @t773)) % 0.40/0.83 (define @t1507 () (or @t776 @t760 @t1506 @t1505)) % 0.40/0.83 (define @t1508 () (forall @t778 @t1507)) % 0.40/0.83 (define @t1509 () (forall (@list @t772 @t769) @t1507)) % 0.40/0.83 (define @t1510 () (forall (@list @t769) @t1505)) % 0.40/0.83 (define @t1511 () (forall (@list @t772) @t1506)) % 0.40/0.83 (define @t1512 () (or @t776 @t760 @t1511 @t1510)) % 0.40/0.83 (define @t1513 () (tptp.in @t4 @t95)) % 0.40/0.83 (define @t1514 () (forall @t9 (or (not @t1513) @t757))) % 0.40/0.83 (define @t1515 () (forall @t9 (or @t758 @t1513))) % 0.40/0.83 (define @t1516 () (not @t124)) % 0.40/0.83 (define @t1517 () (or @t1516 @t1478 @t1515 @t1514)) % 0.40/0.83 (define @t1518 () (or @t1515 @t1514)) % 0.40/0.83 (define @t1519 () (not @t120)) % 0.40/0.83 (define @t1520 () (or @t1519 @t109)) % 0.40/0.83 (define @t1521 () (or @t1477 @t120)) % 0.40/0.83 (define @t1522 () (or @t197 @t1357 @t782 @t129)) % 0.40/0.83 (define @t1523 () (=> @t781 @t129)) % 0.40/0.83 (define @t1524 () (or @t1516 @t130)) % 0.40/0.83 (define @t1525 () (or @t787 @t786)) % 0.40/0.83 (define @t1526 () (or @t776 @t1525)) % 0.40/0.83 (define @t1527 () (forall @t789 @t1526)) % 0.40/0.83 (define @t1528 () (@list @t785)) % 0.40/0.83 (define @t1529 () (forall @t1528 @t1526)) % 0.40/0.83 (define @t1530 () (forall @t1528 @t1525)) % 0.40/0.83 (define @t1531 () (or @t776 @t1530)) % 0.40/0.83 (define @t1532 () (or @t1516 @t764)) % 0.40/0.83 (define @t1533 () (=> tptp.wellorderingAx @t1465)) % 0.40/0.83 (define @t1534 () (@list @t798)) % 0.40/0.83 (define @t1535 () (forall @t1534 @t800)) % 0.40/0.83 (define @t1536 () (forall @t1534 @t799)) % 0.40/0.83 (define @t1537 () (or @t1536 @t797)) % 0.40/0.83 (define @t1538 () (or @t1320 @t796)) % 0.40/0.83 (define @t1539 () (and @t39 @t795)) % 0.40/0.83 (define @t1540 () (forall @t41 (not @t1539))) % 0.40/0.83 (define @t1541 () (not @t1540)) % 0.40/0.83 (define @t1542 () (or @t432 @t197)) % 0.40/0.83 (define @t1543 () (forall @t9 (not @t84))) % 0.40/0.83 (define @t1544 () (not @t1543)) % 0.40/0.83 (define @t1545 () (=> tptp.foundationAx @t1533)) % 0.40/0.83 (define @t1546 () (= @t6 @t804)) % 0.40/0.83 (define @t1547 () (not @t68)) % 0.40/0.83 (define @t1548 () (or @t1357 @t1547)) % 0.40/0.83 (define @t1549 () (forall @t70 (not @t69))) % 0.40/0.83 (define @t1550 () (not @t1549)) % 0.40/0.83 (define @t1551 () (or @t197 @t813)) % 0.40/0.83 (define @t1552 () (_ @t75 @t807)) % 0.40/0.83 (define @t1553 () (not @t1552)) % 0.40/0.83 (define @t1554 () (or @t1553 @t810)) % 0.40/0.83 (define @t1555 () (not @t76)) % 0.40/0.83 (define @t1556 () (or @t1555 @t808)) % 0.40/0.83 (define @t1557 () (_ @t77 @t19)) % 0.40/0.83 (define @t1558 () (not @t1557)) % 0.40/0.83 (define @t1559 () (or @t1558 @t808)) % 0.40/0.83 (define @t1560 () (forall @t70 @t1559)) % 0.40/0.83 (define @t1561 () (not @t1560)) % 0.40/0.83 (define @t1562 () (_ @t77 @t807)) % 0.40/0.83 (define @t1563 () (not @t1562)) % 0.40/0.83 (define @t1564 () (or @t1563 @t1561)) % 0.40/0.83 (define @t1565 () (forall @t812 @t1564)) % 0.40/0.83 (define @t1566 () (not @t1565)) % 0.40/0.83 (define @t1567 () (not (_ @t143 @t807))) % 0.40/0.83 (define @t1568 () (or @t556 (= @t807 @t19))) % 0.40/0.83 (define @t1569 () (forall @t70 @t1568)) % 0.40/0.83 (define @t1570 () (not @t1569)) % 0.40/0.83 (define @t1571 () (or @t1567 @t1570)) % 0.40/0.83 (define @t1572 () (forall @t812 @t1571)) % 0.40/0.83 (define @t1573 () (not @t1572)) % 0.40/0.83 (define @t1574 () (=> @t7 (_ @t1027 @t77))) % 0.40/0.83 (define @t1575 () (forall @t9 @t1574)) % 0.40/0.83 (define @t1576 () (=> @t1575 @t74)) % 0.40/0.83 (define @t1577 () (forall @t81 @t1576)) % 0.40/0.83 (define @t1578 () (=> tptp.replAx @t1545)) % 0.40/0.83 (define @t1579 () (or @t819 @t818)) % 0.40/0.83 (define @t1580 () (or @t827 @t825 @t1579)) % 0.40/0.83 (define @t1581 () (forall @t829 @t1580)) % 0.40/0.83 (define @t1582 () (@list @t817)) % 0.40/0.83 (define @t1583 () (forall @t1582 @t1580)) % 0.40/0.83 (define @t1584 () (forall @t1582 @t1579)) % 0.40/0.83 (define @t1585 () (or @t827 @t825 @t1584)) % 0.40/0.83 (define @t1586 () (forall @t9 (or @t823 @t527))) % 0.40/0.83 (define @t1587 () (not @t61)) % 0.40/0.83 (define @t1588 () (or @t1587 @t825 @t1586)) % 0.40/0.83 (define @t1589 () (and @t61 @t824)) % 0.40/0.83 (define @t1590 () (not @t54)) % 0.40/0.83 (define @t1591 () (or @t1590 @t7)) % 0.40/0.83 (define @t1592 () (_ tptp.in @t820)) % 0.40/0.83 (define @t1593 () (or @t1590 @t197 @t58)) % 0.40/0.83 (define @t1594 () (=> tptp.omegaIndAx @t1578)) % 0.40/0.83 (define @t1595 () (or @t1590 @t53)) % 0.40/0.83 (define @t1596 () (=> tptp.omegaSAx @t1594)) % 0.40/0.83 (define @t1597 () (=> tptp.omega0Ax @t1596)) % 0.40/0.83 (define @t1598 () (= @t44 @t660)) % 0.40/0.83 (define @t1599 () (forall @t41 (not @t40))) % 0.40/0.83 (define @t1600 () (not @t1599)) % 0.40/0.83 (define @t1601 () (=> tptp.setunionAx @t1597)) % 0.40/0.83 (define @t1602 () (= @t35 @t674)) % 0.40/0.83 (define @t1603 () (=> tptp.powersetAx @t1601)) % 0.40/0.83 (define @t1604 () (= @t26 @t1342)) % 0.40/0.83 (define @t1605 () (=> tptp.setadjoinAx @t1603)) % 0.40/0.83 (define @t1606 () (=> tptp.emptysetAx @t1605)) % 0.40/0.83 (define @t1607 () (=> tptp.setextAx @t1606)) % 0.40/0.83 (define @t1608 () (or @t197 @t6 @t436)) % 0.40/0.83 (define @t1609 () (@list false)) % 0.40/0.83 (assume @p1 @t14) % 0.40/0.83 (assume @p2 @t18) % 0.40/0.83 (assume @p3 @t30) % 0.40/0.83 (assume @p4 @t38) % 0.40/0.83 (assume @p5 @t48) % 0.40/0.83 (assume @p6 (= tptp.omega0Ax @t50)) % 0.40/0.83 (assume @p7 @t56) % 0.40/0.83 (assume @p8 @t66) % 0.40/0.83 (assume @p9 @t83) % 0.40/0.83 (assume @p10 @t92) % 0.40/0.83 (assume @p11 @t142) % 0.40/0.83 (assume @p12 @t152) % 0.40/0.83 (assume @p13 @t161) % 0.40/0.83 (assume @p14 @t163) % 0.40/0.83 (assume @p15 @t165) % 0.40/0.83 (assume @p16 @t172) % 0.40/0.83 (assume @p17 @t178) % 0.40/0.83 (assume @p18 @t183) % 0.40/0.83 (assume @p19 @t185) % 0.40/0.83 (assume @p20 (= tptp.notinemptyset @t17)) % 0.40/0.83 (assume @p21 @t189) % 0.40/0.83 (assume @p22 @t195) % 0.40/0.83 (assume @p23 @t201) % 0.40/0.83 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.40/0.83 (assume @p25 @t204) % 0.40/0.83 (assume @p26 @t208) % 0.40/0.83 (assume @p27 @t212) % 0.40/0.83 (assume @p28 @t215) % 0.40/0.83 (assume @p29 @t219) % 0.40/0.83 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.40/0.83 (assume @p31 @t223) % 0.40/0.83 (assume @p32 @t231) % 0.40/0.83 (assume @p33 @t234) % 0.40/0.83 (assume @p34 @t238) % 0.40/0.83 (assume @p35 @t241) % 0.40/0.83 (assume @p36 @t244) % 0.40/0.83 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.40/0.83 (assume @p38 @t247) % 0.40/0.83 (assume @p39 @t251) % 0.40/0.83 (assume @p40 @t258) % 0.40/0.83 (assume @p41 @t262) % 0.40/0.83 (assume @p42 @t268) % 0.40/0.83 (assume @p43 @t273) % 0.40/0.83 (assume @p44 @t278) % 0.40/0.83 (assume @p45 @t284) % 0.40/0.83 (assume @p46 @t286) % 0.40/0.83 (assume @p47 @t288) % 0.40/0.83 (assume @p48 @t297) % 0.40/0.83 (assume @p49 @t300) % 0.40/0.83 (assume @p50 @t303) % 0.40/0.83 (assume @p51 @t311) % 0.40/0.83 (assume @p52 @t314) % 0.40/0.83 (assume @p53 @t322) % 0.40/0.83 (assume @p54 @t327) % 0.40/0.83 (assume @p55 @t330) % 0.40/0.83 (assume @p56 @t333) % 0.40/0.83 (assume @p57 @t336) % 0.40/0.83 (assume @p58 @t339) % 0.40/0.83 (assume @p59 (= tptp.notdexE @t329)) % 0.40/0.83 (assume @p60 (= tptp.notdallE @t321)) % 0.40/0.83 (assume @p61 @t342) % 0.40/0.83 (assume @p62 @t347) % 0.40/0.83 (assume @p63 @t350) % 0.40/0.83 (assume @p64 @t356) % 0.40/0.83 (assume @p65 @t361) % 0.40/0.83 (assume @p66 @t364) % 0.40/0.83 (assume @p67 @t377) % 0.40/0.83 (assume @p68 @t379) % 0.40/0.83 (assume @p69 @t389) % 0.40/0.83 (assume @p70 @t393) % 0.40/0.83 (assume @p71 @t397) % 0.40/0.83 (assume @p72 @t398) % 0.40/0.83 (assume @p73 @t399) % 0.40/0.83 (assume @p74 @t406) % 0.40/0.83 (assume @p75 @t417) % 0.40/0.83 (assume @p76 @t421) % 0.40/0.83 (assume @p77 @t424) % 0.40/0.83 (assume @p78 @t426) % 0.40/0.83 (assume @p79 (= tptp.subsetI2 @t420)) % 0.40/0.83 (assume @p80 @t429) % 0.40/0.83 (assume @p81 @t431) % 0.40/0.83 (assume @p82 @t435) % 0.40/0.83 (assume @p83 @t521) % 0.40/0.83 (assume @p84 true) % 0.40/0.83 (step @p85 (= tptp.exu @t522) :rule refl :args (@t522)) % 0.40/0.83 (step @p86 (= tptp.nonempty @t523) :rule refl :args (@t523)) % 0.40/0.83 (step @p87 :rule refl :args (@t595)) % 0.40/0.83 (step @p88 :rule skolem_intro :args ((@purify true))) % 0.40/0.83 (step @p89 :rule symm :premises (@p88)) % 0.40/0.83 (step @p90 :rule cong :premises (@p89) :args (@t596)) % 0.40/0.83 (step @p91 :rule cong :premises (@p90) :args (@t597)) % 0.40/0.83 (step @p92 :rule cong :premises (@p91 @p87) :args (@t598)) % 0.40/0.83 (step @p93 :rule refl :args (tptp.emptyset)) % 0.40/0.83 (step @p94 :rule cong :premises (@p93 @p90) :args (@t599)) % 0.40/0.83 (step @p95 :rule cong :premises (@p94 @p92) :args (@t600)) % 0.40/0.83 (step @p96 :rule refl :args (@t603)) % 0.40/0.83 (step @p97 :rule cong :premises (@p96 @p95) :args (@t604)) % 0.40/0.83 (step @p98 :rule refl :args (@t612)) % 0.40/0.83 (step @p99 :rule cong :premises (@p98 @p97) :args (@t613)) % 0.40/0.83 (step @p100 :rule refl :args (@t617)) % 0.40/0.83 (step @p101 :rule cong :premises (@p100 @p99) :args (@t618)) % 0.40/0.83 (step @p102 :rule refl :args (@t620)) % 0.40/0.83 (step @p103 :rule cong :premises (@p102 @p101) :args (@t621)) % 0.40/0.83 (step @p104 :rule refl :args (@t625)) % 0.40/0.83 (step @p105 :rule cong :premises (@p104 @p103) :args (@t626)) % 0.40/0.83 (step @p106 :rule refl :args (@t631)) % 0.40/0.83 (step @p107 :rule cong :premises (@p106 @p105) :args (@t632)) % 0.40/0.83 (step @p108 :rule refl :args (@t634)) % 0.40/0.83 (step @p109 :rule cong :premises (@p108 @p107) :args (@t635)) % 0.40/0.83 (step @p110 :rule refl :args (@t636)) % 0.40/0.83 (step @p111 :rule cong :premises (@p110 @p109) :args (@t637)) % 0.40/0.83 (step @p112 :rule refl :args (@t638)) % 0.40/0.83 (step @p113 :rule cong :premises (@p112 @p111) :args (@t639)) % 0.40/0.83 (step @p114 :rule refl :args (@t642)) % 0.40/0.83 (step @p115 :rule cong :premises (@p114 @p113) :args (@t643)) % 0.40/0.83 (step @p116 :rule refl :args (@t650)) % 0.40/0.83 (step @p117 :rule cong :premises (@p116 @p115) :args (@t651)) % 0.40/0.83 (step @p118 :rule refl :args (@t655)) % 0.40/0.83 (step @p119 :rule cong :premises (@p118 @p117) :args (@t656)) % 0.40/0.83 (step @p120 :rule refl :args (@t662)) % 0.40/0.83 (step @p121 :rule cong :premises (@p120 @p119) :args (@t663)) % 0.40/0.83 (step @p122 :rule refl :args (@t664)) % 0.40/0.83 (step @p123 :rule cong :premises (@p122 @p121) :args (@t665)) % 0.40/0.83 (step @p124 :rule refl :args (@t668)) % 0.40/0.83 (step @p125 :rule cong :premises (@p124 @p123) :args (@t669)) % 0.40/0.83 (step @p126 :rule refl :args (@t671)) % 0.40/0.83 (step @p127 :rule cong :premises (@p126 @p125) :args (@t672)) % 0.40/0.83 (step @p128 :rule cong :premises (@p126 @p127) :args (@t673)) % 0.40/0.83 (step @p129 :rule refl :args (@t676)) % 0.40/0.83 (step @p130 :rule cong :premises (@p129 @p128) :args (@t677)) % 0.40/0.83 (step @p131 :rule refl :args (@t681)) % 0.40/0.83 (step @p132 :rule cong :premises (@p131 @p130) :args (@t682)) % 0.40/0.83 (step @p133 :rule refl :args (@t686)) % 0.40/0.83 (step @p134 :rule cong :premises (@p133 @p132) :args (@t687)) % 0.40/0.83 (step @p135 :rule cong :premises (@p133 @p134) :args (@t688)) % 0.40/0.83 (step @p136 :rule refl :args (@t690)) % 0.40/0.83 (step @p137 :rule cong :premises (@p136 @p135) :args (@t691)) % 0.40/0.83 (step @p138 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 0.40/0.83 (step @p139 :rule refl :args (@t692)) % 0.40/0.83 (step @p140 :rule refl :args (tptp.emptyset)) % 0.40/0.83 (step @p141 :rule cong :premises (@p140 @p139) :args (@t693)) % 0.40/0.83 (step @p142 :rule trans :premises (@p141 @p138)) % 0.40/0.83 (step @p143 :rule refl :args (@t49)) % 0.40/0.83 (step @p144 :rule ho_cong :premises (@p143 @p139)) % 0.40/0.83 (step @p145 :rule cong :premises (@p144 @p142) :args ((= (_ @t49 @t692) @t693))) % 0.40/0.83 (step @p146 :rule symm :premises (@p145)) % 0.40/0.83 (step @p147 :rule refl :args (@t221)) % 0.40/0.83 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 0.40/0.83 (step @p149 :rule refl :args (@t220)) % 0.40/0.83 (step @p150 :rule cong :premises (@p149 @p139) :args ((= @t220 @t692))) % 0.40/0.83 (step @p151 :rule symm :premises (@p150)) % 0.40/0.83 (step @p152 :rule eq_resolve :premises (@p149 @p151)) % 0.40/0.83 (step @p153 :rule refl :args (@t49)) % 0.40/0.83 (step @p154 :rule ho_cong :premises (@p153 @p152)) % 0.40/0.83 (step @p155 :rule trans :premises (@p154 @p148)) % 0.40/0.83 (step @p156 :rule cong :premises (@p155 @p137) :args (@t694)) % 0.40/0.83 (step @p157 :rule refl :args (@t697)) % 0.40/0.83 (step @p158 :rule cong :premises (@p157 @p156) :args (@t698)) % 0.40/0.83 (step @p159 :rule refl :args (@t702)) % 0.40/0.83 (step @p160 :rule cong :premises (@p159 @p158) :args (@t703)) % 0.40/0.83 (step @p161 :rule refl :args (@t704)) % 0.40/0.83 (step @p162 :rule cong :premises (@p161 @p160) :args (@t705)) % 0.40/0.83 (step @p163 :rule cong :premises (@p114 @p162) :args (@t706)) % 0.40/0.83 (step @p164 :rule refl :args (@t708)) % 0.40/0.83 (step @p165 :rule cong :premises (@p164 @p163) :args (@t709)) % 0.40/0.83 (step @p166 :rule refl :args (@t710)) % 0.40/0.83 (step @p167 :rule cong :premises (@p166 @p165) :args (@t711)) % 0.40/0.83 (step @p168 :rule cong :premises (@p166 @p167) :args (@t712)) % 0.40/0.83 (step @p169 :rule refl :args (@t714)) % 0.40/0.83 (step @p170 :rule cong :premises (@p169 @p168) :args (@t715)) % 0.40/0.83 (step @p171 :rule refl :args (@t721)) % 0.40/0.83 (step @p172 :rule cong :premises (@p171 @p170) :args (@t722)) % 0.40/0.83 (step @p173 :rule refl :args (@t723)) % 0.40/0.83 (step @p174 :rule cong :premises (@p173 @p172) :args (@t724)) % 0.40/0.83 (step @p175 :rule cong :premises (@p173 @p174) :args (@t725)) % 0.40/0.83 (step @p176 :rule cong :premises (@p173 @p175) :args (@t726)) % 0.40/0.83 (step @p177 :rule refl :args (@t728)) % 0.40/0.83 (step @p178 :rule cong :premises (@p177 @p176) :args (@t729)) % 0.40/0.83 (step @p179 :rule refl :args (@t731)) % 0.40/0.83 (step @p180 :rule cong :premises (@p179 @p178) :args (@t732)) % 0.40/0.83 (step @p181 :rule refl :args (@t733)) % 0.40/0.83 (step @p182 :rule cong :premises (@p181 @p180) :args (@t734)) % 0.40/0.83 (step @p183 :rule refl :args (@t735)) % 0.40/0.83 (step @p184 :rule cong :premises (@p183 @p182) :args (@t736)) % 0.40/0.83 (step @p185 :rule refl :args (@t741)) % 0.40/0.83 (step @p186 :rule cong :premises (@p185 @p184) :args (@t742)) % 0.40/0.83 (step @p187 :rule refl :args (@t793)) % 0.40/0.83 (step @p188 :rule cong :premises (@p187 @p186) :args (@t794)) % 0.40/0.83 (step @p189 :rule refl :args (@t801)) % 0.40/0.83 (step @p190 :rule cong :premises (@p189 @p188) :args (@t802)) % 0.40/0.83 (step @p191 :rule refl :args (@t815)) % 0.40/0.83 (step @p192 :rule cong :premises (@p191 @p190) :args (@t816)) % 0.40/0.83 (step @p193 :rule refl :args (@t830)) % 0.40/0.83 (step @p194 :rule cong :premises (@p193 @p192) :args (@t831)) % 0.40/0.83 (step @p195 :rule refl :args (@t833)) % 0.40/0.83 (step @p196 :rule cong :premises (@p195 @p194) :args (@t834)) % 0.40/0.83 (step @p197 :rule refl :args (@t835)) % 0.40/0.83 (step @p198 :rule refl :args (@t50)) % 0.40/0.83 (step @p199 :rule cong :premises (@p198 @p197) :args ((= @t50 @t835))) % 0.40/0.83 (step @p200 :rule symm :premises (@p199)) % 0.40/0.83 (step @p201 :rule eq_resolve :premises (@p198 @p200)) % 0.40/0.83 (step @p202 :rule cong :premises (@p201 @p196) :args (@t836)) % 0.40/0.83 (step @p203 :rule refl :args (@t837)) % 0.40/0.83 (step @p204 :rule cong :premises (@p203 @p202) :args (@t838)) % 0.40/0.83 (step @p205 :rule refl :args (@t839)) % 0.40/0.83 (step @p206 :rule cong :premises (@p205 @p204) :args (@t840)) % 0.40/0.83 (step @p207 :rule refl :args (@t842)) % 0.40/0.83 (step @p208 :rule cong :premises (@p207 @p206) :args (@t843)) % 0.40/0.83 (step @p209 :rule cong :premises (@p173 @p208) :args (@t844)) % 0.40/0.83 (step @p210 :rule refl :args (@t846)) % 0.40/0.83 (step @p211 :rule cong :premises (@p210 @p209) :args (@t847)) % 0.40/0.83 (step @p212 :rule cong :premises (@p211) :args ((not @t847))) % 0.40/0.83 (step @p213 :rule bool-impl-true2 :args (@t573)) % 0.40/0.83 (step @p214 :rule bool-impl-true2 :args (@t573)) % 0.40/0.83 (step @p215 :rule refl :args (true)) % 0.40/0.83 (step @p216 :rule cong :premises (@p215 @p214) :args (@t848)) % 0.40/0.83 (step @p217 :rule trans :premises (@p216 @p213)) % 0.40/0.83 (step @p218 :rule cong :premises (@p215 @p214) :args (@t848)) % 0.40/0.83 (step @p219 :rule cong :premises (@p215 @p218) :args (@t849)) % 0.40/0.83 (step @p220 :rule trans :premises (@p219 @p217)) % 0.40/0.83 (step @p221 :rule cong :premises (@p215 @p218) :args (@t849)) % 0.40/0.83 (step @p222 :rule cong :premises (@p215 @p221) :args (@t850)) % 0.40/0.83 (step @p223 :rule trans :premises (@p222 @p220)) % 0.40/0.83 (step @p224 :rule cong :premises (@p215 @p221) :args (@t850)) % 0.40/0.83 (step @p225 :rule cong :premises (@p215 @p224) :args (@t851)) % 0.40/0.83 (step @p226 :rule trans :premises (@p225 @p223)) % 0.40/0.83 (step @p227 :rule refl :args (@t585)) % 0.40/0.83 (step @p228 :rule cong :premises (@p227 @p226) :args (@t852)) % 0.40/0.83 (step @p229 :rule refl :args (@t572)) % 0.40/0.83 (step @p230 :rule cong :premises (@p229 @p228) :args (@t853)) % 0.40/0.83 (step @p231 :rule bool-impl-true2 :args (@t853)) % 0.40/0.83 (step @p232 :rule trans :premises (@p231 @p230)) % 0.40/0.83 (step @p233 :rule bool-impl-true2 :args (@t853)) % 0.40/0.83 (step @p234 :rule cong :premises (@p215 @p233) :args (@t854)) % 0.40/0.83 (step @p235 :rule trans :premises (@p234 @p232)) % 0.40/0.83 (step @p236 :rule refl :args (@t588)) % 0.40/0.83 (step @p237 :rule cong :premises (@p236 @p235) :args (@t855)) % 0.40/0.83 (step @p238 :rule refl :args (@t594)) % 0.40/0.83 (step @p239 :rule cong :premises (@p238 @p237) :args (@t856)) % 0.40/0.83 (step @p240 :rule bool-impl-true2 :args (@t856)) % 0.40/0.83 (step @p241 :rule trans :premises (@p240 @p239)) % 0.40/0.83 (step @p242 :rule bool-impl-true2 :args (@t856)) % 0.40/0.83 (step @p243 :rule cong :premises (@p215 @p242) :args (@t857)) % 0.40/0.83 (step @p244 :rule trans :premises (@p243 @p241)) % 0.40/0.83 (step @p245 :rule cong :premises (@p215 @p242) :args (@t857)) % 0.40/0.83 (step @p246 :rule cong :premises (@p215 @p245) :args (@t858)) % 0.40/0.83 (step @p247 :rule trans :premises (@p246 @p244)) % 0.40/0.83 (step @p248 :rule refl :args (@t597)) % 0.40/0.83 (step @p249 :rule cong :premises (@p248 @p247) :args (@t859)) % 0.40/0.83 (step @p250 :rule refl :args (@t599)) % 0.40/0.83 (step @p251 :rule cong :premises (@p250 @p249) :args (@t860)) % 0.40/0.83 (step @p252 :rule bool-impl-true2 :args (@t860)) % 0.40/0.83 (step @p253 :rule trans :premises (@p252 @p251)) % 0.40/0.83 (step @p254 :rule bool-impl-true2 :args (@t860)) % 0.40/0.83 (step @p255 :rule cong :premises (@p215 @p254) :args (@t861)) % 0.40/0.83 (step @p256 :rule trans :premises (@p255 @p253)) % 0.40/0.83 (step @p257 :rule cong :premises (@p215 @p254) :args (@t861)) % 0.40/0.83 (step @p258 :rule cong :premises (@p215 @p257) :args (@t862)) % 0.40/0.83 (step @p259 :rule trans :premises (@p258 @p256)) % 0.40/0.83 (step @p260 :rule cong :premises (@p215 @p257) :args (@t862)) % 0.40/0.83 (step @p261 :rule cong :premises (@p215 @p260) :args (@t863)) % 0.40/0.83 (step @p262 :rule trans :premises (@p261 @p259)) % 0.40/0.83 (step @p263 :rule cong :premises (@p96 @p262) :args (@t864)) % 0.40/0.83 (step @p264 :rule cong :premises (@p98 @p263) :args (@t865)) % 0.40/0.83 (step @p265 :rule cong :premises (@p100 @p264) :args (@t866)) % 0.40/0.83 (step @p266 :rule cong :premises (@p102 @p265) :args (@t867)) % 0.40/0.83 (step @p267 :rule cong :premises (@p104 @p266) :args (@t868)) % 0.40/0.83 (step @p268 :rule cong :premises (@p106 @p267) :args (@t869)) % 0.40/0.83 (step @p269 :rule cong :premises (@p108 @p268) :args (@t870)) % 0.40/0.83 (step @p270 :rule cong :premises (@p110 @p269) :args (@t871)) % 0.40/0.83 (step @p271 :rule cong :premises (@p112 @p270) :args (@t872)) % 0.40/0.83 (step @p272 :rule cong :premises (@p114 @p271) :args (@t873)) % 0.40/0.83 (step @p273 :rule cong :premises (@p116 @p272) :args (@t874)) % 0.40/0.83 (step @p274 :rule cong :premises (@p118 @p273) :args (@t875)) % 0.40/0.83 (step @p275 :rule cong :premises (@p120 @p274) :args (@t876)) % 0.40/0.83 (step @p276 :rule cong :premises (@p122 @p275) :args (@t877)) % 0.40/0.83 (step @p277 :rule cong :premises (@p124 @p276) :args (@t878)) % 0.40/0.83 (step @p278 :rule cong :premises (@p126 @p277) :args (@t879)) % 0.40/0.83 (step @p279 :rule cong :premises (@p126 @p278) :args (@t880)) % 0.40/0.83 (step @p280 :rule cong :premises (@p129 @p279) :args (@t881)) % 0.40/0.83 (step @p281 :rule cong :premises (@p131 @p280) :args (@t882)) % 0.40/0.83 (step @p282 :rule cong :premises (@p133 @p281) :args (@t883)) % 0.40/0.83 (step @p283 :rule cong :premises (@p133 @p282) :args (@t884)) % 0.40/0.83 (step @p284 :rule cong :premises (@p136 @p283) :args (@t885)) % 0.40/0.83 (step @p285 :rule refl :args (@t221)) % 0.40/0.83 (step @p286 :rule cong :premises (@p285 @p284) :args (@t886)) % 0.40/0.83 (step @p287 :rule cong :premises (@p157 @p286) :args (@t887)) % 0.40/0.83 (step @p288 :rule cong :premises (@p159 @p287) :args (@t888)) % 0.40/0.83 (step @p289 :rule cong :premises (@p161 @p288) :args (@t889)) % 0.40/0.83 (step @p290 :rule cong :premises (@p114 @p289) :args (@t890)) % 0.40/0.83 (step @p291 :rule cong :premises (@p164 @p290) :args (@t891)) % 0.40/0.83 (step @p292 :rule cong :premises (@p166 @p291) :args (@t892)) % 0.40/0.83 (step @p293 :rule cong :premises (@p166 @p292) :args (@t893)) % 0.40/0.83 (step @p294 :rule cong :premises (@p169 @p293) :args (@t894)) % 0.40/0.83 (step @p295 :rule cong :premises (@p171 @p294) :args (@t895)) % 0.40/0.83 (step @p296 :rule cong :premises (@p173 @p295) :args (@t896)) % 0.40/0.83 (step @p297 :rule cong :premises (@p173 @p296) :args (@t897)) % 0.40/0.83 (step @p298 :rule cong :premises (@p173 @p297) :args (@t898)) % 0.40/0.83 (step @p299 :rule cong :premises (@p177 @p298) :args (@t899)) % 0.40/0.83 (step @p300 :rule bool-impl-true2 :args (@t899)) % 0.40/0.83 (step @p301 :rule trans :premises (@p300 @p299)) % 0.40/0.83 (step @p302 :rule cong :premises (@p179 @p301) :args (@t900)) % 0.40/0.83 (step @p303 :rule cong :premises (@p181 @p302) :args (@t901)) % 0.40/0.83 (step @p304 :rule cong :premises (@p183 @p303) :args (@t902)) % 0.40/0.83 (step @p305 :rule cong :premises (@p185 @p304) :args (@t903)) % 0.40/0.83 (step @p306 :rule cong :premises (@p187 @p305) :args (@t904)) % 0.40/0.83 (step @p307 :rule cong :premises (@p189 @p306) :args (@t905)) % 0.40/0.83 (step @p308 :rule cong :premises (@p191 @p307) :args (@t906)) % 0.40/0.83 (step @p309 :rule cong :premises (@p193 @p308) :args (@t907)) % 0.40/0.83 (step @p310 :rule cong :premises (@p195 @p309) :args (@t908)) % 0.40/0.83 (step @p311 :rule refl :args (@t50)) % 0.40/0.83 (step @p312 :rule cong :premises (@p311 @p310) :args (@t909)) % 0.40/0.83 (step @p313 :rule cong :premises (@p203 @p312) :args (@t910)) % 0.40/0.83 (step @p314 :rule cong :premises (@p205 @p313) :args (@t911)) % 0.40/0.83 (step @p315 :rule cong :premises (@p207 @p314) :args (@t912)) % 0.40/0.83 (step @p316 :rule cong :premises (@p173 @p315) :args (@t913)) % 0.40/0.83 (step @p317 :rule cong :premises (@p210 @p316) :args (@t914)) % 0.40/0.83 (step @p318 :rule cong :premises (@p317) :args ((not @t914))) % 0.40/0.83 (step @p319 :rule refl :args (@t530)) % 0.40/0.83 (step @p320 :rule refl :args (@t527)) % 0.40/0.83 (step @p321 :rule refl :args (@t7)) % 0.40/0.83 (step @p322 :rule cong :premises (@p321 @p320) :args ((= @t7 @t527))) % 0.40/0.84 (step @p323 :rule symm :premises (@p322)) % 0.40/0.84 (step @p324 :rule eq_resolve :premises (@p321 @p323)) % 0.40/0.84 (step @p325 :rule cong :premises (@p324) :args (@t197)) % 0.40/0.84 (step @p326 :rule refl :args (@t526)) % 0.40/0.84 (step @p327 :rule refl :args (@t6)) % 0.40/0.84 (step @p328 :rule cong :premises (@p327 @p326) :args ((= @t6 @t526))) % 0.40/0.84 (step @p329 :rule symm :premises (@p328)) % 0.40/0.84 (step @p330 :rule eq_resolve :premises (@p327 @p329)) % 0.40/0.84 (step @p331 :rule refl :args (@t524)) % 0.40/0.84 (step @p332 :rule refl :args (@t418)) % 0.40/0.84 (step @p333 :rule cong :premises (@p332 @p331) :args ((= @t418 @t524))) % 0.40/0.84 (step @p334 :rule symm :premises (@p333)) % 0.40/0.84 (step @p335 :rule eq_resolve :premises (@p332 @p334)) % 0.40/0.84 (step @p336 :rule cong :premises (@p335) :args (@t436)) % 0.40/0.84 (step @p337 :rule nary_cong :premises (@p336 @p330 @p325) :args (@t915)) % 0.40/0.84 (step @p338 :rule cong :premises (@p337) :args ((forall @t245 @t915))) % 0.40/0.84 (step @p339 :rule aci_norm :args ((= (or @t436 (or @t6 @t197)) @t915))) % 0.40/0.84 (step @p340 :rule refl :args (@t197)) % 0.40/0.84 (step @p341 :rule bool-double-not-elim :args (@t6)) % 0.40/0.84 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t916 @t197))) % 0.40/0.84 (step @p343 :rule bool-impl-elim :args (@t432 @t197)) % 0.40/0.84 (step @p344 :rule trans :premises (@p343 @p342)) % 0.40/0.84 (step @p345 :rule refl :args (@t436)) % 0.40/0.84 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or @t436 @t433))) % 0.40/0.84 (step @p347 :rule trans :premises (@p346 @p339)) % 0.40/0.84 (step @p348 :rule bool-impl-elim :args (@t418 @t433)) % 0.40/0.84 (step @p349 :rule trans :premises (@p348 @p347)) % 0.40/0.84 (step @p350 :rule cong :premises (@p349) :args (@t434)) % 0.40/0.84 (step @p351 :rule trans :premises (@p350 @p338)) % 0.40/0.84 (step @p352 :rule refl :args (tptp.subsetE2)) % 0.40/0.84 (step @p353 :rule cong :premises (@p352 @p351) :args (@t435)) % 0.40/0.84 (step @p354 :rule eq_resolve :premises (@p82 @p353)) % 0.40/0.84 (step @p355 :rule cong :premises (@p354 @p319) :args (@t917)) % 0.40/0.84 (step @p356 :rule nary_cong :premises (@p336 @p325 @p330) :args (@t918)) % 0.40/0.84 (step @p357 :rule cong :premises (@p356) :args ((forall @t245 @t918))) % 0.40/0.84 (step @p358 :rule aci_norm :args ((= (or @t436 @t919) @t918))) % 0.40/0.84 (step @p359 :rule bool-impl-elim :args (@t7 @t6)) % 0.40/0.84 (step @p360 :rule nary_cong :premises (@p345 @p359) :args ((or @t436 @t191))) % 0.40/0.84 (step @p361 :rule trans :premises (@p360 @p358)) % 0.40/0.84 (step @p362 :rule bool-impl-elim :args (@t418 @t191)) % 0.40/0.84 (step @p363 :rule trans :premises (@p362 @p361)) % 0.40/0.84 (step @p364 :rule cong :premises (@p363) :args (@t430)) % 0.40/0.84 (step @p365 :rule trans :premises (@p364 @p357)) % 0.40/0.84 (step @p366 :rule refl :args (tptp.subsetE)) % 0.40/0.84 (step @p367 :rule cong :premises (@p366 @p365) :args (@t431)) % 0.40/0.84 (step @p368 :rule eq_resolve :premises (@p81 @p367)) % 0.40/0.84 (step @p369 :rule cong :premises (@p368 @p355) :args (@t920)) % 0.40/0.84 (step @p370 :rule refl :args (@t533)) % 0.40/0.84 (step @p371 :rule refl :args (@t427)) % 0.40/0.84 (step @p372 :rule cong :premises (@p371 @p370) :args ((= @t427 @t533))) % 0.40/0.84 (step @p373 :rule symm :premises (@p372)) % 0.40/0.84 (step @p374 :rule eq_resolve :premises (@p371 @p373)) % 0.40/0.84 (step @p375 :rule cong :premises (@p374) :args (@t428)) % 0.40/0.84 (step @p376 :rule refl :args (tptp.emptysetsubset)) % 0.40/0.84 (step @p377 :rule cong :premises (@p376 @p375) :args (@t429)) % 0.40/0.84 (step @p378 :rule eq_resolve :premises (@p80 @p377)) % 0.40/0.84 (step @p379 :rule cong :premises (@p378 @p369) :args (@t921)) % 0.40/0.84 (step @p380 :rule eq-symm :args (@t536 tptp.subsetI2)) % 0.40/0.84 (step @p381 :rule refl :args (tptp.subsetI2)) % 0.40/0.84 (step @p382 :rule refl :args (@t535)) % 0.40/0.84 (step @p383 :rule nary_cong :premises (@p382 @p335) :args (@t922)) % 0.40/0.84 (step @p384 :rule cong :premises (@p383) :args ((forall @t12 @t922))) % 0.40/0.84 (step @p385 :rule bool-impl-elim :args (@t534 @t418)) % 0.40/0.84 (step @p386 :rule cong :premises (@p385) :args ((forall @t12 (=> @t534 @t418)))) % 0.40/0.84 (step @p387 :rule trans :premises (@p386 @p384)) % 0.40/0.84 (step @p388 :rule refl :args (@t418)) % 0.40/0.84 (step @p389 :rule nary_cong :premises (@p325 @p330) :args (@t919)) % 0.40/0.84 (step @p390 :rule cong :premises (@p389) :args ((forall @t9 @t919))) % 0.40/0.84 (step @p391 :rule cong :premises (@p359) :args (@t192)) % 0.40/0.84 (step @p392 :rule trans :premises (@p391 @p390)) % 0.40/0.84 (step @p393 :rule cong :premises (@p392 @p388) :args (@t419)) % 0.40/0.84 (step @p394 :rule cong :premises (@p393) :args (@t420)) % 0.40/0.84 (step @p395 :rule trans :premises (@p394 @p387)) % 0.40/0.84 (step @p396 :rule cong :premises (@p395 @p381) :args ((= @t420 tptp.subsetI2))) % 0.40/0.84 (step @p397 :rule trans :premises (@p396 @p380)) % 0.40/0.84 (step @p398 :rule eq-symm :args (tptp.subsetI2 @t420)) % 0.40/0.84 (step @p399 :rule trans :premises (@p398 @p397)) % 0.40/0.84 (step @p400 :rule eq_resolve :premises (@p79 @p399)) % 0.40/0.84 (step @p401 :rule cong :premises (@p400 @p379) :args (@t923)) % 0.40/0.84 (step @p402 :rule aci_norm :args ((= (or false @t537) @t537))) % 0.40/0.84 (step @p403 :rule refl :args (@t537)) % 0.40/0.84 (step @p404 :rule evaluate :args (@t924)) % 0.40/0.84 (step @p405 :rule eq-refl :args (@t1)) % 0.40/0.84 (step @p406 :rule cong :premises (@p405) :args (@t925)) % 0.40/0.84 (step @p407 :rule trans :premises (@p406 @p404)) % 0.40/0.84 (step @p408 :rule nary_cong :premises (@p407 @p403) :args (@t926)) % 0.40/0.84 (step @p409 :rule trans :premises (@p408 @p402)) % 0.40/0.84 (step @p410 :rule cong :premises (@p409) :args ((forall @t41 @t926))) % 0.40/0.84 (step @p411 :rule quant-var-elim-eq :args ((= (forall @t64 @t928) @t926))) % 0.40/0.84 (step @p412 :rule aci_norm :args ((= @t929 @t928))) % 0.40/0.84 (step @p413 :rule cong :premises (@p412) :args (@t930)) % 0.40/0.84 (step @p414 :rule trans :premises (@p413 @p411)) % 0.40/0.84 (step @p415 :rule cong :premises (@p414) :args (@t931)) % 0.40/0.84 (step @p416 :rule quant-merge-prenex :args ((= @t931 @t933))) % 0.40/0.84 (step @p417 :rule symm :premises (@p416)) % 0.40/0.84 (step @p418 :rule quant_var_reordering :args ((= (forall @t12 @t929) @t933))) % 0.40/0.84 (step @p419 :rule trans :premises (@p418 @p417 @p415)) % 0.40/0.84 (step @p420 :rule trans :premises (@p419 @p410)) % 0.40/0.84 (step @p421 :rule refl :args (@t927)) % 0.40/0.84 (step @p422 :rule nary_cong :premises (@p421 @p335) :args (@t934)) % 0.40/0.84 (step @p423 :rule cong :premises (@p422) :args ((forall @t12 @t934))) % 0.40/0.84 (step @p424 :rule trans :premises (@p423 @p420)) % 0.40/0.84 (step @p425 :rule bool-impl-elim :args (@t3 @t418)) % 0.40/0.84 (step @p426 :rule cong :premises (@p425) :args (@t425)) % 0.40/0.84 (step @p427 :rule trans :premises (@p426 @p424)) % 0.40/0.84 (step @p428 :rule refl :args (tptp.eqimpsubset1)) % 0.40/0.84 (step @p429 :rule cong :premises (@p428 @p427) :args (@t426)) % 0.40/0.84 (step @p430 :rule eq_resolve :premises (@p78 @p429)) % 0.40/0.84 (step @p431 :rule cong :premises (@p430 @p401) :args (@t935)) % 0.40/0.84 (step @p432 :rule quant-var-elim-eq :args ((= (forall @t64 @t937) @t926))) % 0.40/0.84 (step @p433 :rule aci_norm :args ((= @t938 @t937))) % 0.40/0.84 (step @p434 :rule cong :premises (@p433) :args (@t939)) % 0.40/0.84 (step @p435 :rule trans :premises (@p434 @p432)) % 0.40/0.84 (step @p436 :rule cong :premises (@p435) :args (@t940)) % 0.40/0.84 (step @p437 :rule quant-merge-prenex :args ((= @t940 @t941))) % 0.40/0.84 (step @p438 :rule symm :premises (@p437)) % 0.40/0.84 (step @p439 :rule quant_var_reordering :args ((= (forall @t12 @t938) @t941))) % 0.40/0.84 (step @p440 :rule trans :premises (@p439 @p438 @p436)) % 0.40/0.84 (step @p441 :rule trans :premises (@p440 @p410)) % 0.40/0.84 (step @p442 :rule refl :args (@t936)) % 0.40/0.84 (step @p443 :rule refl :args (@t422)) % 0.40/0.84 (step @p444 :rule cong :premises (@p443 @p442) :args ((= @t422 @t936))) % 0.40/0.84 (step @p445 :rule symm :premises (@p444)) % 0.40/0.84 (step @p446 :rule eq_resolve :premises (@p443 @p445)) % 0.40/0.84 (step @p447 :rule nary_cong :premises (@p421 @p446) :args (@t942)) % 0.40/0.84 (step @p448 :rule cong :premises (@p447) :args ((forall @t12 @t942))) % 0.40/0.84 (step @p449 :rule trans :premises (@p448 @p441)) % 0.40/0.84 (step @p450 :rule bool-impl-elim :args (@t3 @t422)) % 0.40/0.84 (step @p451 :rule cong :premises (@p450) :args (@t423)) % 0.40/0.84 (step @p452 :rule trans :premises (@p451 @p449)) % 0.40/0.84 (step @p453 :rule refl :args (tptp.eqimpsubset2)) % 0.40/0.84 (step @p454 :rule cong :premises (@p453 @p452) :args (@t424)) % 0.40/0.84 (step @p455 :rule eq_resolve :premises (@p77 @p454)) % 0.40/0.84 (step @p456 :rule cong :premises (@p455 @p431) :args (@t943)) % 0.40/0.84 (step @p457 :rule refl :args (tptp.subsetI1)) % 0.40/0.84 (step @p458 :rule cong :premises (@p457 @p395) :args (@t421)) % 0.40/0.84 (step @p459 :rule eq_resolve :premises (@p76 @p458)) % 0.40/0.84 (step @p460 :rule cong :premises (@p459 @p456) :args (@t944)) % 0.40/0.84 (step @p461 :rule aci_norm :args ((= (or false @t547 @t543) @t548))) % 0.40/0.84 (step @p462 :rule eq-symm :args (@t540 @t542)) % 0.40/0.84 (step @p463 :rule aci_norm :args ((= @t945 @t546))) % 0.40/0.84 (step @p464 :rule cong :premises (@p463) :args (@t946)) % 0.40/0.84 (step @p465 :rule cong :premises (@p464) :args (@t947)) % 0.40/0.84 (step @p466 :rule nary_cong :premises (@p407 @p465 @p462) :args (@t948)) % 0.40/0.84 (step @p467 :rule trans :premises (@p466 @p461)) % 0.40/0.84 (step @p468 :rule cong :premises (@p467) :args ((forall @t549 @t948))) % 0.40/0.84 (step @p469 :rule quant-var-elim-eq :args ((= (forall @t64 @t951) @t948))) % 0.40/0.84 (step @p470 :rule aci_norm :args ((= @t952 @t951))) % 0.40/0.84 (step @p471 :rule cong :premises (@p470) :args (@t953)) % 0.40/0.84 (step @p472 :rule trans :premises (@p471 @p469)) % 0.40/0.84 (step @p473 :rule cong :premises (@p472) :args (@t954)) % 0.40/0.84 (step @p474 :rule quant-merge-prenex :args ((= @t954 @t955))) % 0.40/0.84 (step @p475 :rule symm :premises (@p474)) % 0.40/0.84 (step @p476 :rule quant_var_reordering :args ((= (forall @t956 @t952) @t955))) % 0.40/0.84 (step @p477 :rule trans :premises (@p476 @p475 @p473)) % 0.40/0.84 (step @p478 :rule trans :premises (@p477 @p468)) % 0.40/0.84 (step @p479 :rule aci_norm :args ((= @t958 @t952))) % 0.40/0.84 (step @p480 :rule cong :premises (@p479) :args (@t959)) % 0.40/0.84 (step @p481 :rule trans :premises (@p480 @p478)) % 0.40/0.84 (step @p482 :rule quant-merge-prenex :args ((= (forall @t12 @t961) @t959))) % 0.40/0.84 (step @p483 :rule alpha_equiv :args (@t962 (@list @t539 @t541) (@list @t143 @t365))) % 0.40/0.84 (step @p484 :rule nary_cong :premises (@p421 @p483) :args (@t963)) % 0.40/0.84 (step @p485 :rule quant-miniscope-or :args ((= @t961 @t963))) % 0.40/0.84 (step @p486 :rule trans :premises (@p485 @p484)) % 0.40/0.84 (step @p487 :rule symm :premises (@p486)) % 0.40/0.84 (step @p488 :rule cong :premises (@p487) :args ((forall @t12 (or @t927 @t967)))) % 0.40/0.84 (step @p489 :rule trans :premises (@p488 @p482)) % 0.40/0.84 (step @p490 :rule trans :premises (@p489 @p481)) % 0.40/0.84 (step @p491 :rule bool-impl-elim :args (@t3 @t967)) % 0.40/0.84 (step @p492 :rule cong :premises (@p491) :args ((forall @t12 (=> @t3 @t967)))) % 0.40/0.84 (step @p493 :rule trans :premises (@p492 @p490)) % 0.40/0.84 (step @p494 :rule lambda-elim :args ((= @t968 @t365))) % 0.40/0.84 (step @p495 :rule refl :args (@t1)) % 0.40/0.84 (step @p496 :rule cong :premises (@p495 @p494) :args (@t969)) % 0.40/0.84 (step @p497 :rule lambda-elim :args ((= @t970 @t143))) % 0.40/0.84 (step @p498 :rule refl :args (@t2)) % 0.40/0.84 (step @p499 :rule cong :premises (@p498 @p497) :args (@t971)) % 0.40/0.84 (step @p500 :rule cong :premises (@p499 @p496) :args (@t972)) % 0.40/0.84 (step @p501 :rule refl :args (@t966)) % 0.40/0.84 (step @p502 :rule nary_cong :premises (@p501 @p500) :args (@t973)) % 0.40/0.84 (step @p503 :rule cong :premises (@p502) :args ((forall @t375 @t973))) % 0.40/0.84 (step @p504 :rule refl :args ((tptp.dsetconstr @t1 @t367))) % 0.40/0.84 (step @p505 :rule refl :args (@t575)) % 0.40/0.84 (step @p506 :rule cong :premises (@p505) :args (@t968)) % 0.40/0.84 (step @p507 :rule refl :args (@t1)) % 0.40/0.84 (step @p508 :rule cong :premises (@p507 @p506) :args (@t969)) % 0.40/0.84 (step @p509 :rule trans :premises (@p508 @p504)) % 0.40/0.84 (step @p510 :rule refl :args (@t407)) % 0.40/0.84 (step @p511 :rule ho_cong :premises (@p510 @p506)) % 0.40/0.84 (step @p512 :rule cong :premises (@p511 @p509) :args ((= (_ @t407 @t968) @t969))) % 0.40/0.84 (step @p513 :rule symm :premises (@p512)) % 0.40/0.84 (step @p514 :rule refl :args (@t408)) % 0.40/0.84 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 0.40/0.84 (step @p516 :rule refl :args (@t366)) % 0.40/0.84 (step @p517 :rule cong :premises (@p516 @p505) :args ((= @t366 @t575))) % 0.40/0.84 (step @p518 :rule symm :premises (@p517)) % 0.40/0.84 (step @p519 :rule eq_resolve :premises (@p516 @p518)) % 0.40/0.84 (step @p520 :rule cong :premises (@p519) :args (@t367)) % 0.40/0.84 (step @p521 :rule ho_cong :premises (@p510 @p520)) % 0.40/0.84 (step @p522 :rule trans :premises (@p521 @p515)) % 0.40/0.84 (step @p523 :rule refl :args ((tptp.dsetconstr @t2 @t145))) % 0.40/0.84 (step @p524 :rule refl :args (@t580)) % 0.40/0.84 (step @p525 :rule cong :premises (@p524) :args (@t970)) % 0.40/0.84 (step @p526 :rule refl :args (@t2)) % 0.40/0.84 (step @p527 :rule cong :premises (@p526 @p525) :args (@t971)) % 0.40/0.84 (step @p528 :rule trans :premises (@p527 @p523)) % 0.40/0.84 (step @p529 :rule refl :args (@t155)) % 0.40/0.84 (step @p530 :rule ho_cong :premises (@p529 @p525)) % 0.40/0.84 (step @p531 :rule cong :premises (@p530 @p528) :args ((= (_ @t155 @t970) @t971))) % 0.40/0.84 (step @p532 :rule symm :premises (@p531)) % 0.40/0.84 (step @p533 :rule refl :args (@t304)) % 0.40/0.84 (step @p534 :rule eq_resolve :premises (@p533 @p532)) % 0.40/0.84 (step @p535 :rule refl :args (@t144)) % 0.40/0.84 (step @p536 :rule cong :premises (@p535 @p524) :args ((= @t144 @t580))) % 0.40/0.84 (step @p537 :rule symm :premises (@p536)) % 0.40/0.84 (step @p538 :rule eq_resolve :premises (@p535 @p537)) % 0.40/0.84 (step @p539 :rule cong :premises (@p538) :args (@t145)) % 0.40/0.84 (step @p540 :rule ho_cong :premises (@p529 @p539)) % 0.40/0.84 (step @p541 :rule trans :premises (@p540 @p534)) % 0.40/0.84 (step @p542 :rule cong :premises (@p541 @p522) :args (@t409)) % 0.40/0.84 (step @p543 :rule refl :args (@t966)) % 0.40/0.84 (step @p544 :rule nary_cong :premises (@p543 @p542) :args (@t974)) % 0.40/0.84 (step @p545 :rule cong :premises (@p544) :args ((forall @t375 @t974))) % 0.40/0.84 (step @p546 :rule trans :premises (@p545 @p503)) % 0.40/0.84 (step @p547 :rule bool-impl-elim :args (@t965 @t409)) % 0.40/0.84 (step @p548 :rule cong :premises (@p547) :args ((forall @t375 (=> @t965 @t409)))) % 0.40/0.84 (step @p549 :rule trans :premises (@p548 @p546)) % 0.40/0.84 (step @p550 :rule refl :args (@t409)) % 0.40/0.84 (step @p551 :rule refl :args (@t964)) % 0.40/0.84 (step @p552 :rule refl :args (@t545)) % 0.40/0.84 (step @p553 :rule nary_cong :premises (@p325 @p552 @p551) :args (@t975)) % 0.40/0.84 (step @p554 :rule cong :premises (@p553) :args ((forall @t9 @t975))) % 0.40/0.84 (step @p555 :rule aci_norm :args ((= (or @t197 @t976) @t975))) % 0.40/0.84 (step @p556 :rule bool-impl-elim :args (@t7 @t976)) % 0.40/0.84 (step @p557 :rule trans :premises (@p556 @p555)) % 0.40/0.84 (step @p558 :rule cong :premises (@p557) :args ((forall @t9 (=> @t7 @t976)))) % 0.40/0.84 (step @p559 :rule trans :premises (@p558 @p554)) % 0.40/0.84 (step @p560 :rule aci_norm :args ((= (or @t545 false @t964) @t976))) % 0.40/0.84 (step @p561 :rule refl :args (@t964)) % 0.40/0.84 (step @p562 :rule eq-refl :args (@t4)) % 0.40/0.84 (step @p563 :rule cong :premises (@p562) :args (@t977)) % 0.40/0.84 (step @p564 :rule trans :premises (@p563 @p404)) % 0.40/0.84 (step @p565 :rule refl :args (@t545)) % 0.40/0.84 (step @p566 :rule nary_cong :premises (@p565 @p564 @p561) :args (@t978)) % 0.40/0.84 (step @p567 :rule trans :premises (@p566 @p560)) % 0.40/0.84 (step @p568 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t981 @t282 @t979)) @t978))) % 0.40/0.84 (step @p569 :rule refl :args (@t979)) % 0.40/0.84 (step @p570 :rule refl :args (@t282)) % 0.40/0.84 (step @p571 :rule refl :args (@t981)) % 0.40/0.84 (step @p572 :rule eq-symm :args (@t4 @t19)) % 0.40/0.84 (step @p573 :rule cong :premises (@p572) :args (@t282)) % 0.40/0.84 (step @p574 :rule nary_cong :premises (@p573 @p571 @p570 @p569) :args (@t982)) % 0.40/0.84 (step @p575 :rule aci_norm :args ((= @t983 @t982))) % 0.40/0.84 (step @p576 :rule trans :premises (@p575 @p574)) % 0.40/0.84 (step @p577 :rule cong :premises (@p576) :args ((forall @t70 @t983))) % 0.40/0.84 (step @p578 :rule trans :premises (@p577 @p568)) % 0.40/0.84 (step @p579 :rule trans :premises (@p578 @p567)) % 0.40/0.84 (step @p580 :rule refl :args (@t551)) % 0.40/0.84 (step @p581 :rule refl :args (@t370)) % 0.40/0.84 (step @p582 :rule cong :premises (@p581 @p580) :args ((= @t370 @t551))) % 0.40/0.84 (step @p583 :rule symm :premises (@p582)) % 0.40/0.84 (step @p584 :rule eq_resolve :premises (@p581 @p583)) % 0.40/0.84 (step @p585 :rule cong :premises (@p538 @p584) :args (@t371)) % 0.40/0.84 (step @p586 :rule refl :args (@t980)) % 0.40/0.84 (step @p587 :rule refl :args (@t351)) % 0.40/0.84 (step @p588 :rule cong :premises (@p587 @p586) :args ((= @t351 @t980))) % 0.40/0.84 (step @p589 :rule symm :premises (@p588)) % 0.40/0.84 (step @p590 :rule eq_resolve :premises (@p587 @p589)) % 0.40/0.84 (step @p591 :rule cong :premises (@p590) :args (@t984)) % 0.40/0.84 (step @p592 :rule nary_cong :premises (@p591 @p570 @p585) :args (@t985)) % 0.40/0.84 (step @p593 :rule cong :premises (@p592) :args ((forall @t70 @t985))) % 0.40/0.84 (step @p594 :rule trans :premises (@p593 @p579)) % 0.40/0.84 (step @p595 :rule aci_norm :args ((= (or @t984 @t986) @t985))) % 0.40/0.84 (step @p596 :rule bool-impl-elim :args (@t129 @t371)) % 0.40/0.84 (step @p597 :rule refl :args (@t984)) % 0.40/0.84 (step @p598 :rule nary_cong :premises (@p597 @p596) :args ((or @t984 @t372))) % 0.40/0.84 (step @p599 :rule trans :premises (@p598 @p595)) % 0.40/0.84 (step @p600 :rule bool-impl-elim :args (@t351 @t372)) % 0.40/0.84 (step @p601 :rule trans :premises (@p600 @p599)) % 0.40/0.84 (step @p602 :rule cong :premises (@p601) :args (@t410)) % 0.40/0.84 (step @p603 :rule trans :premises (@p602 @p594)) % 0.40/0.84 (step @p604 :rule refl :args (@t7)) % 0.40/0.84 (step @p605 :rule cong :premises (@p604 @p603) :args (@t411)) % 0.40/0.84 (step @p606 :rule cong :premises (@p605) :args (@t412)) % 0.40/0.84 (step @p607 :rule trans :premises (@p606 @p559)) % 0.40/0.84 (step @p608 :rule cong :premises (@p607 @p550) :args (@t413)) % 0.40/0.84 (step @p609 :rule cong :premises (@p608) :args (@t414)) % 0.40/0.84 (step @p610 :rule trans :premises (@p609 @p549)) % 0.40/0.84 (step @p611 :rule refl :args (@t3)) % 0.40/0.84 (step @p612 :rule cong :premises (@p611 @p610) :args (@t415)) % 0.40/0.84 (step @p613 :rule cong :premises (@p612) :args (@t416)) % 0.40/0.84 (step @p614 :rule trans :premises (@p613 @p493)) % 0.40/0.84 (step @p615 :rule refl :args (tptp.dsetconstr__Cong)) % 0.40/0.84 (step @p616 :rule cong :premises (@p615 @p614) :args (@t417)) % 0.40/0.84 (step @p617 :rule eq_resolve :premises (@p75 @p616)) % 0.40/0.84 (step @p618 :rule cong :premises (@p617 @p460) :args (@t987)) % 0.40/0.84 (step @p619 :rule eq-symm :args (@t550 @t19)) % 0.40/0.84 (step @p620 :rule refl :args (@t552)) % 0.40/0.84 (step @p621 :rule nary_cong :premises (@p620 @p619) :args (@t988)) % 0.40/0.84 (step @p622 :rule cong :premises (@p621) :args (@t989)) % 0.40/0.84 (step @p623 :rule cong :premises (@p622) :args (@t990)) % 0.40/0.84 (step @p624 :rule refl :args (@t553)) % 0.40/0.84 (step @p625 :rule eq-symm :args (@t554 @t19)) % 0.40/0.84 (step @p626 :rule refl :args (@t556)) % 0.40/0.84 (step @p627 :rule nary_cong :premises (@p626 @p625) :args (@t991)) % 0.40/0.84 (step @p628 :rule cong :premises (@p627) :args (@t992)) % 0.40/0.84 (step @p629 :rule cong :premises (@p628) :args (@t993)) % 0.40/0.84 (step @p630 :rule refl :args (@t557)) % 0.40/0.84 (step @p631 :rule refl :args (@t559)) % 0.40/0.84 (step @p632 :rule refl :args (@t562)) % 0.40/0.84 (step @p633 :rule nary_cong :premises (@p632 @p631 @p630 @p629 @p624 @p623) :args (@t994)) % 0.40/0.84 (step @p634 :rule aci_norm :args ((= @t997 @t994))) % 0.40/0.84 (step @p635 :rule trans :premises (@p634 @p633)) % 0.40/0.84 (step @p636 :rule cong :premises (@p635) :args (@t998)) % 0.40/0.84 (step @p637 :rule quant-merge-prenex :args ((= (forall @t375 @t999) @t998))) % 0.40/0.84 (step @p638 :rule refl :args (@t559)) % 0.40/0.84 (step @p639 :rule alpha_equiv :args (@t1000 (@list @t550) @t1001)) % 0.40/0.84 (step @p640 :rule alpha_equiv :args (@t1002 (@list @t554) @t1001)) % 0.40/0.84 (step @p641 :rule refl :args (@t562)) % 0.40/0.84 (step @p642 :rule nary_cong :premises (@p641 @p640 @p639 @p638) :args (@t1003)) % 0.40/0.84 (step @p643 :rule quant-miniscope-or :args ((= @t999 @t1003))) % 0.40/0.84 (step @p644 :rule trans :premises (@p643 @p642)) % 0.40/0.84 (step @p645 :rule symm :premises (@p644)) % 0.40/0.84 (step @p646 :rule cong :premises (@p645) :args ((forall @t375 (or @t562 @t582 @t576 @t559)))) % 0.40/0.84 (step @p647 :rule trans :premises (@p646 @p637)) % 0.40/0.84 (step @p648 :rule trans :premises (@p647 @p636)) % 0.40/0.84 (step @p649 :rule cong :premises (@p494) :args (@t1004)) % 0.40/0.84 (step @p650 :rule cong :premises (@p497) :args (@t1005)) % 0.40/0.84 (step @p651 :rule cong :premises (@p650 @p649) :args (@t1006)) % 0.40/0.84 (step @p652 :rule refl :args (@t576)) % 0.40/0.84 (step @p653 :rule refl :args (@t582)) % 0.40/0.84 (step @p654 :rule nary_cong :premises (@p632 @p653 @p652 @p651) :args (@t1007)) % 0.40/0.84 (step @p655 :rule cong :premises (@p654) :args ((forall @t375 @t1007))) % 0.40/0.84 (step @p656 :rule trans :premises (@p655 @p648)) % 0.40/0.84 (step @p657 :rule refl :args ((tptp.descr @t367))) % 0.40/0.84 (step @p658 :rule cong :premises (@p506) :args (@t1004)) % 0.40/0.84 (step @p659 :rule trans :premises (@p658 @p657)) % 0.40/0.84 (step @p660 :rule refl :args (tptp.descr)) % 0.40/0.84 (step @p661 :rule ho_cong :premises (@p660 @p506)) % 0.40/0.84 (step @p662 :rule cong :premises (@p661 @p659) :args ((= (_ tptp.descr @t968) @t1004))) % 0.40/0.84 (step @p663 :rule symm :premises (@p662)) % 0.40/0.84 (step @p664 :rule refl :args (@t400)) % 0.40/0.84 (step @p665 :rule eq_resolve :premises (@p664 @p663)) % 0.40/0.84 (step @p666 :rule ho_cong :premises (@p660 @p520)) % 0.40/0.84 (step @p667 :rule trans :premises (@p666 @p665)) % 0.40/0.84 (step @p668 :rule refl :args ((tptp.descr @t145))) % 0.40/0.84 (step @p669 :rule cong :premises (@p525) :args (@t1005)) % 0.40/0.84 (step @p670 :rule trans :premises (@p669 @p668)) % 0.40/0.84 (step @p671 :rule ho_cong :premises (@p660 @p525)) % 0.40/0.84 (step @p672 :rule cong :premises (@p671 @p670) :args ((= (_ tptp.descr @t970) @t1005))) % 0.40/0.84 (step @p673 :rule symm :premises (@p672)) % 0.40/0.84 (step @p674 :rule refl :args (@t146)) % 0.40/0.84 (step @p675 :rule eq_resolve :premises (@p674 @p673)) % 0.40/0.84 (step @p676 :rule ho_cong :premises (@p660 @p539)) % 0.40/0.84 (step @p677 :rule trans :premises (@p676 @p675)) % 0.40/0.84 (step @p678 :rule cong :premises (@p677 @p667) :args (@t401)) % 0.40/0.84 (step @p679 :rule refl :args (@t576)) % 0.40/0.84 (step @p680 :rule refl :args (@t582)) % 0.40/0.84 (step @p681 :rule nary_cong :premises (@p641 @p680 @p679 @p678) :args (@t1008)) % 0.40/0.84 (step @p682 :rule cong :premises (@p681) :args ((forall @t375 @t1008))) % 0.40/0.84 (step @p683 :rule trans :premises (@p682 @p656)) % 0.40/0.84 (step @p684 :rule aci_norm :args ((= (or @t562 @t1009) @t1008))) % 0.40/0.84 (step @p685 :rule aci_norm :args ((= (or @t582 (or @t576 @t401)) @t1009))) % 0.40/0.84 (step @p686 :rule refl :args (@t401)) % 0.40/0.84 (step @p687 :rule bool-double-not-elim :args (@t576)) % 0.40/0.84 (step @p688 :rule nary_cong :premises (@p687 @p686) :args ((or (not @t577) @t401))) % 0.40/0.84 (step @p689 :rule bool-impl-elim :args (@t577 @t401)) % 0.40/0.84 (step @p690 :rule trans :premises (@p689 @p688)) % 0.40/0.84 (step @p691 :rule nary_cong :premises (@p680 @p690) :args ((or @t582 @t1010))) % 0.40/0.84 (step @p692 :rule trans :premises (@p691 @p685)) % 0.40/0.84 (step @p693 :rule refl :args (@t1010)) % 0.40/0.84 (step @p694 :rule bool-double-not-elim :args (@t582)) % 0.40/0.84 (step @p695 :rule nary_cong :premises (@p694 @p693) :args ((or @t1011 @t1010))) % 0.40/0.84 (step @p696 :rule bool-impl-elim :args (@t583 @t1010)) % 0.40/0.84 (step @p697 :rule trans :premises (@p696 @p695)) % 0.40/0.84 (step @p698 :rule trans :premises (@p697 @p692)) % 0.40/0.84 (step @p699 :rule nary_cong :premises (@p641 @p698) :args ((or @t562 @t1012))) % 0.40/0.84 (step @p700 :rule trans :premises (@p699 @p684)) % 0.40/0.84 (step @p701 :rule bool-impl-elim :args (@t561 @t1012)) % 0.40/0.84 (step @p702 :rule trans :premises (@p701 @p700)) % 0.40/0.84 (step @p703 :rule cong :premises (@p702) :args ((forall @t375 (=> @t561 @t1012)))) % 0.40/0.84 (step @p704 :rule trans :premises (@p703 @p683)) % 0.40/0.84 (step @p705 :rule refl :args (@t401)) % 0.40/0.84 (step @p706 :rule refl :args (@t574)) % 0.40/0.84 (step @p707 :rule cong :premises (@p519) :args (@t1013)) % 0.40/0.84 (step @p708 :rule nary_cong :premises (@p707 @p706) :args (@t1014)) % 0.40/0.84 (step @p709 :rule cong :premises (@p708) :args ((forall @t9 @t1014))) % 0.40/0.84 (step @p710 :rule refl :args (@t129)) % 0.40/0.84 (step @p711 :rule cong :premises (@p584) :args (@t1015)) % 0.40/0.84 (step @p712 :rule nary_cong :premises (@p711 @p710) :args (@t1016)) % 0.40/0.84 (step @p713 :rule cong :premises (@p712) :args ((forall @t70 @t1016))) % 0.40/0.84 (step @p714 :rule refl :args (@t129)) % 0.40/0.84 (step @p715 :rule beta-reduce :args ((= @t1017 @t370))) % 0.40/0.84 (step @p716 :rule cong :premises (@p715) :args (@t1018)) % 0.40/0.84 (step @p717 :rule nary_cong :premises (@p716 @p714) :args (@t1019)) % 0.40/0.84 (step @p718 :rule cong :premises (@p717) :args (@t1020)) % 0.40/0.84 (step @p719 :rule trans :premises (@p718 @p713)) % 0.40/0.84 (step @p720 :rule cong :premises (@p719) :args (@t1021)) % 0.40/0.84 (step @p721 :rule beta-reduce :args ((= @t1022 @t366))) % 0.40/0.84 (step @p722 :rule cong :premises (@p721) :args (@t1023)) % 0.40/0.84 (step @p723 :rule nary_cong :premises (@p722 @p720) :args (@t1024)) % 0.40/0.84 (step @p724 :rule cong :premises (@p723) :args (@t1025)) % 0.40/0.84 (step @p725 :rule trans :premises (@p724 @p709)) % 0.40/0.84 (step @p726 :rule cong :premises (@p725) :args (@t1026)) % 0.40/0.84 (step @p727 :rule beta-reduce :args ((= @t1028 @t1026))) % 0.40/0.84 (step @p728 :rule trans :premises (@p727 @p726)) % 0.40/0.84 (step @p729 :rule cong :premises (@p728 @p705) :args (@t1029)) % 0.40/0.84 (step @p730 :rule refl :args (@t579)) % 0.40/0.84 (step @p731 :rule cong :premises (@p538) :args (@t315)) % 0.40/0.84 (step @p732 :rule nary_cong :premises (@p731 @p730) :args (@t1030)) % 0.40/0.84 (step @p733 :rule cong :premises (@p732) :args ((forall @t9 @t1030))) % 0.40/0.84 (step @p734 :rule refl :args (@t555)) % 0.40/0.84 (step @p735 :rule refl :args (@t153)) % 0.40/0.84 (step @p736 :rule cong :premises (@p735 @p734) :args ((= @t153 @t555))) % 0.40/0.84 (step @p737 :rule symm :premises (@p736)) % 0.40/0.84 (step @p738 :rule eq_resolve :premises (@p735 @p737)) % 0.40/0.84 (step @p739 :rule cong :premises (@p738) :args (@t1031)) % 0.40/0.84 (step @p740 :rule nary_cong :premises (@p739 @p710) :args (@t1032)) % 0.40/0.84 (step @p741 :rule cong :premises (@p740) :args ((forall @t70 @t1032))) % 0.40/0.84 (step @p742 :rule beta-reduce :args ((= @t1033 @t153))) % 0.40/0.84 (step @p743 :rule cong :premises (@p742) :args (@t1034)) % 0.40/0.84 (step @p744 :rule nary_cong :premises (@p743 @p714) :args (@t1035)) % 0.40/0.84 (step @p745 :rule cong :premises (@p744) :args (@t1036)) % 0.40/0.84 (step @p746 :rule trans :premises (@p745 @p741)) % 0.40/0.84 (step @p747 :rule cong :premises (@p746) :args (@t1037)) % 0.40/0.84 (step @p748 :rule beta-reduce :args ((= @t1038 @t144))) % 0.40/0.84 (step @p749 :rule cong :premises (@p748) :args (@t1039)) % 0.40/0.84 (step @p750 :rule nary_cong :premises (@p749 @p747) :args (@t1040)) % 0.40/0.84 (step @p751 :rule cong :premises (@p750) :args (@t1041)) % 0.40/0.84 (step @p752 :rule trans :premises (@p751 @p733)) % 0.40/0.84 (step @p753 :rule cong :premises (@p752) :args (@t1042)) % 0.40/0.84 (step @p754 :rule beta-reduce :args ((= @t1043 @t1042))) % 0.40/0.84 (step @p755 :rule trans :premises (@p754 @p753)) % 0.40/0.84 (step @p756 :rule cong :premises (@p755 @p729) :args (@t1044)) % 0.40/0.84 (step @p757 :rule aci_norm :args ((= (or false @t560) @t560))) % 0.40/0.84 (step @p758 :rule refl :args (@t560)) % 0.40/0.84 (step @p759 :rule eq-refl :args (@t19)) % 0.40/0.84 (step @p760 :rule cong :premises (@p759) :args (@t1045)) % 0.40/0.84 (step @p761 :rule trans :premises (@p760 @p404)) % 0.40/0.84 (step @p762 :rule nary_cong :premises (@p761 @p758) :args (@t1046)) % 0.40/0.84 (step @p763 :rule trans :premises (@p762 @p757)) % 0.40/0.84 (step @p764 :rule cong :premises (@p763) :args ((forall @t70 @t1046))) % 0.40/0.84 (step @p765 :rule quant-var-elim-eq :args ((= (forall @t9 @t1047) @t1046))) % 0.40/0.84 (step @p766 :rule aci_norm :args ((= @t1048 @t1047))) % 0.40/0.84 (step @p767 :rule cong :premises (@p766) :args (@t1049)) % 0.40/0.84 (step @p768 :rule trans :premises (@p767 @p765)) % 0.40/0.84 (step @p769 :rule cong :premises (@p768) :args (@t1050)) % 0.40/0.84 (step @p770 :rule quant-merge-prenex :args ((= @t1050 @t1052))) % 0.40/0.84 (step @p771 :rule symm :premises (@p770)) % 0.40/0.84 (step @p772 :rule quant_var_reordering :args ((= (forall @t135 @t1048) @t1052))) % 0.40/0.84 (step @p773 :rule trans :premises (@p772 @p771 @p769)) % 0.40/0.84 (step @p774 :rule trans :premises (@p773 @p764)) % 0.40/0.84 (step @p775 :rule nary_cong :premises (@p570 @p585) :args (@t986)) % 0.40/0.84 (step @p776 :rule cong :premises (@p775) :args ((forall @t135 @t986))) % 0.40/0.84 (step @p777 :rule trans :premises (@p776 @p774)) % 0.40/0.84 (step @p778 :rule cong :premises (@p596) :args (@t373)) % 0.40/0.84 (step @p779 :rule trans :premises (@p778 @p777)) % 0.40/0.84 (step @p780 :rule cong :premises (@p779 @p756) :args (@t1053)) % 0.40/0.84 (step @p781 :rule cong :premises (@p780) :args (@t1054)) % 0.40/0.84 (step @p782 :rule trans :premises (@p781 @p704)) % 0.40/0.84 (step @p783 :rule refl :args (tptp.descr__Cong)) % 0.40/0.84 (step @p784 :rule cong :premises (@p783 @p782) :args ((= tptp.descr__Cong @t1054))) % 0.40/0.84 (step @p785 :rule refl :args (@t367)) % 0.40/0.84 (step @p786 :rule bool-and-de-morgan :args (@t144 @t578 true)) % 0.40/0.84 (step @p787 :rule cong :premises (@p786) :args (@t1056)) % 0.40/0.84 (step @p788 :rule trans :premises (@p787 @p733)) % 0.40/0.84 (step @p789 :rule cong :premises (@p788) :args (@t1057)) % 0.40/0.84 (step @p790 :rule exists-elim :args ((= (exists @t9 @t1055) @t1057))) % 0.40/0.84 (step @p791 :rule trans :premises (@p790 @p789)) % 0.40/0.84 (step @p792 :rule bool-impl-elim :args (@t153 @t129)) % 0.40/0.84 (step @p793 :rule cong :premises (@p792) :args (@t167)) % 0.40/0.84 (step @p794 :rule trans :premises (@p793 @p741)) % 0.40/0.84 (step @p795 :rule refl :args (@t144)) % 0.40/0.84 (step @p796 :rule nary_cong :premises (@p795 @p794) :args (@t168)) % 0.40/0.84 (step @p797 :rule cong :premises (@p796) :args (@t169)) % 0.40/0.84 (step @p798 :rule trans :premises (@p797 @p791)) % 0.40/0.84 (step @p799 :rule cong :premises (@p798) :args (@t522)) % 0.40/0.84 (step @p800 :rule trans :premises (@p85 @p799)) % 0.40/0.84 (step @p801 :rule ho_cong :premises (@p800 @p785)) % 0.40/0.84 (step @p802 :rule cong :premises (@p801 @p705) :args (@t402)) % 0.40/0.84 (step @p803 :rule refl :args (@t145)) % 0.40/0.84 (step @p804 :rule ho_cong :premises (@p800 @p803)) % 0.40/0.84 (step @p805 :rule cong :premises (@p804 @p802) :args (@t403)) % 0.40/0.84 (step @p806 :rule refl :args (@t373)) % 0.40/0.84 (step @p807 :rule cong :premises (@p806 @p805) :args (@t404)) % 0.40/0.84 (step @p808 :rule cong :premises (@p807) :args (@t405)) % 0.40/0.84 (step @p809 :rule cong :premises (@p783 @p808) :args (@t406)) % 0.40/0.84 (step @p810 :rule trans :premises (@p809 @p784)) % 0.40/0.84 (step @p811 :rule eq_resolve :premises (@p74 @p810)) % 0.40/0.84 (step @p812 :rule cong :premises (@p811 @p618) :args (@t1058)) % 0.40/0.84 (step @p813 :rule refl :args (@t566)) % 0.40/0.84 (step @p814 :rule refl :args (@t567)) % 0.40/0.84 (step @p815 :rule refl :args (@t568)) % 0.40/0.84 (step @p816 :rule eq-symm :args (@t569 @t19)) % 0.40/0.84 (step @p817 :rule nary_cong :premises (@p626 @p816) :args (@t1059)) % 0.40/0.84 (step @p818 :rule cong :premises (@p817) :args (@t1060)) % 0.40/0.84 (step @p819 :rule cong :premises (@p818) :args (@t1061)) % 0.40/0.84 (step @p820 :rule refl :args (@t570)) % 0.40/0.84 (step @p821 :rule nary_cong :premises (@p820 @p819 @p815 @p814 @p813) :args (@t1062)) % 0.40/0.84 (step @p822 :rule aci_norm :args ((= @t1065 @t1062))) % 0.40/0.84 (step @p823 :rule trans :premises (@p822 @p821)) % 0.40/0.84 (step @p824 :rule cong :premises (@p823) :args (@t1066)) % 0.40/0.84 (step @p825 :rule quant-merge-prenex :args ((= (forall @t150 @t1067) @t1066))) % 0.40/0.84 (step @p826 :rule alpha_equiv :args (@t1068 (@list @t565 @t564) (@list @t4 @t19))) % 0.40/0.84 (step @p827 :rule alpha_equiv :args (@t1069 (@list @t569) @t1001)) % 0.40/0.84 (step @p828 :rule nary_cong :premises (@p827 @p826) :args (@t1070)) % 0.40/0.84 (step @p829 :rule quant-miniscope-or :args ((= @t1067 @t1070))) % 0.40/0.84 (step @p830 :rule trans :premises (@p829 @p828)) % 0.40/0.84 (step @p831 :rule symm :premises (@p830)) % 0.40/0.84 (step @p832 :rule cong :premises (@p831) :args ((forall @t150 (or @t582 @t589)))) % 0.40/0.84 (step @p833 :rule trans :premises (@p832 @p825)) % 0.40/0.84 (step @p834 :rule trans :premises (@p833 @p824)) % 0.40/0.84 (step @p835 :rule refl :args (@t589)) % 0.40/0.84 (step @p836 :rule nary_cong :premises (@p694 @p835) :args ((or @t1011 @t589))) % 0.40/0.84 (step @p837 :rule bool-impl-elim :args (@t583 @t589)) % 0.40/0.84 (step @p838 :rule trans :premises (@p837 @p836)) % 0.40/0.84 (step @p839 :rule cong :premises (@p838) :args ((forall @t150 (=> @t583 @t589)))) % 0.40/0.84 (step @p840 :rule trans :premises (@p839 @p834)) % 0.40/0.84 (step @p841 :rule nary_cong :premises (@p731 @p739 @p710) :args (@t1071)) % 0.40/0.84 (step @p842 :rule cong :premises (@p841) :args ((forall @t135 @t1071))) % 0.40/0.84 (step @p843 :rule aci_norm :args ((= (or @t315 @t1032) @t1071))) % 0.40/0.84 (step @p844 :rule refl :args (@t315)) % 0.40/0.84 (step @p845 :rule nary_cong :premises (@p844 @p792) :args ((or @t315 @t166))) % 0.40/0.84 (step @p846 :rule trans :premises (@p845 @p843)) % 0.40/0.84 (step @p847 :rule bool-impl-elim :args (@t144 @t166)) % 0.40/0.84 (step @p848 :rule trans :premises (@p847 @p846)) % 0.40/0.84 (step @p849 :rule cong :premises (@p848) :args (@t343)) % 0.40/0.84 (step @p850 :rule trans :premises (@p849 @p842)) % 0.40/0.84 (step @p851 :rule cong :premises (@p755 @p850) :args (@t1072)) % 0.40/0.84 (step @p852 :rule cong :premises (@p851) :args (@t1073)) % 0.40/0.84 (step @p853 :rule trans :premises (@p852 @p840)) % 0.40/0.84 (step @p854 :rule refl :args (tptp.exuEu)) % 0.40/0.84 (step @p855 :rule cong :premises (@p854 @p853) :args ((= tptp.exuEu @t1073))) % 0.40/0.84 (step @p856 :rule refl :args (@t343)) % 0.40/0.84 (step @p857 :rule cong :premises (@p804 @p856) :args (@t362)) % 0.40/0.84 (step @p858 :rule cong :premises (@p857) :args (@t363)) % 0.40/0.84 (step @p859 :rule cong :premises (@p854 @p858) :args (@t399)) % 0.40/0.84 (step @p860 :rule trans :premises (@p859 @p855)) % 0.40/0.84 (step @p861 :rule eq_resolve :premises (@p73 @p860)) % 0.40/0.84 (step @p862 :rule cong :premises (@p861 @p812) :args (@t1074)) % 0.40/0.84 (step @p863 :rule bool-eq-true :args (tptp.omega__Cong)) % 0.40/0.84 (step @p864 :rule symm :premises (@p863)) % 0.40/0.84 (step @p865 :rule eq-refl :args (tptp.omega)) % 0.40/0.84 (step @p866 :rule refl :args (tptp.omega__Cong)) % 0.40/0.84 (step @p867 :rule cong :premises (@p866 @p865) :args (@t398)) % 0.40/0.84 (step @p868 :rule trans :premises (@p867 @p863)) % 0.40/0.84 (step @p869 :rule eq_resolve :premises (@p72 @p868)) % 0.40/0.84 (step @p870 :rule eq_resolve :premises (@p869 @p864)) % 0.40/0.84 (step @p871 :rule cong :premises (@p870 @p862) :args (@t1075)) % 0.40/0.84 (step @p872 :rule bool-eq-true :args (tptp.setunion__Cong)) % 0.40/0.84 (step @p873 :rule symm :premises (@p872)) % 0.40/0.84 (step @p874 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 0.40/0.84 (step @p875 :rule evaluate :args ((or false true))) % 0.40/0.84 (step @p876 :rule eq-refl :args (@t1076)) % 0.40/0.84 (step @p877 :rule nary_cong :premises (@p407 @p876) :args (@t1077)) % 0.40/0.84 (step @p878 :rule trans :premises (@p877 @p875)) % 0.40/0.84 (step @p879 :rule cong :premises (@p878) :args ((forall @t41 @t1077))) % 0.40/0.84 (step @p880 :rule trans :premises (@p879 @p874)) % 0.40/0.84 (step @p881 :rule quant-var-elim-eq :args ((= (forall @t64 @t1079) @t1077))) % 0.40/0.84 (step @p882 :rule aci_norm :args ((= @t1080 @t1079))) % 0.40/0.84 (step @p883 :rule cong :premises (@p882) :args (@t1081)) % 0.40/0.84 (step @p884 :rule trans :premises (@p883 @p881)) % 0.40/0.84 (step @p885 :rule cong :premises (@p884) :args (@t1082)) % 0.40/0.84 (step @p886 :rule quant-merge-prenex :args ((= @t1082 @t1083))) % 0.40/0.84 (step @p887 :rule symm :premises (@p886)) % 0.40/0.84 (step @p888 :rule quant_var_reordering :args ((= (forall @t12 @t1080) @t1083))) % 0.40/0.84 (step @p889 :rule trans :premises (@p888 @p887 @p885)) % 0.40/0.84 (step @p890 :rule trans :premises (@p889 @p880)) % 0.40/0.84 (step @p891 :rule refl :args (@t1076)) % 0.40/0.84 (step @p892 :rule refl :args (@t394)) % 0.40/0.84 (step @p893 :rule cong :premises (@p892 @p891) :args ((= @t394 @t1076))) % 0.40/0.84 (step @p894 :rule symm :premises (@p893)) % 0.40/0.84 (step @p895 :rule eq_resolve :premises (@p892 @p894)) % 0.40/0.84 (step @p896 :rule refl :args (@t652)) % 0.40/0.84 (step @p897 :rule refl :args (@t43)) % 0.40/0.84 (step @p898 :rule cong :premises (@p897 @p896) :args ((= @t43 @t652))) % 0.40/0.84 (step @p899 :rule symm :premises (@p898)) % 0.40/0.84 (step @p900 :rule eq_resolve :premises (@p897 @p899)) % 0.40/0.84 (step @p901 :rule cong :premises (@p900 @p895) :args (@t395)) % 0.40/0.84 (step @p902 :rule nary_cong :premises (@p421 @p901) :args (@t1084)) % 0.40/0.84 (step @p903 :rule cong :premises (@p902) :args ((forall @t12 @t1084))) % 0.40/0.84 (step @p904 :rule trans :premises (@p903 @p890)) % 0.40/0.84 (step @p905 :rule bool-impl-elim :args (@t3 @t395)) % 0.40/0.84 (step @p906 :rule cong :premises (@p905) :args (@t396)) % 0.40/0.84 (step @p907 :rule trans :premises (@p906 @p904)) % 0.40/0.84 (step @p908 :rule refl :args (tptp.setunion__Cong)) % 0.40/0.84 (step @p909 :rule cong :premises (@p908 @p907) :args (@t397)) % 0.40/0.84 (step @p910 :rule trans :premises (@p909 @p872)) % 0.40/0.84 (step @p911 :rule eq_resolve :premises (@p71 @p910)) % 0.40/0.84 (step @p912 :rule eq_resolve :premises (@p911 @p873)) % 0.40/0.84 (step @p913 :rule cong :premises (@p912 @p871) :args (@t1085)) % 0.40/0.84 (step @p914 :rule bool-eq-true :args (tptp.powerset__Cong)) % 0.40/0.84 (step @p915 :rule symm :premises (@p914)) % 0.40/0.84 (step @p916 :rule eq-refl :args (@t1086)) % 0.40/0.84 (step @p917 :rule nary_cong :premises (@p407 @p916) :args (@t1087)) % 0.40/0.84 (step @p918 :rule trans :premises (@p917 @p875)) % 0.40/0.84 (step @p919 :rule cong :premises (@p918) :args ((forall @t41 @t1087))) % 0.40/0.84 (step @p920 :rule trans :premises (@p919 @p874)) % 0.40/0.84 (step @p921 :rule quant-var-elim-eq :args ((= (forall @t64 @t1089) @t1087))) % 0.40/0.84 (step @p922 :rule aci_norm :args ((= @t1090 @t1089))) % 0.40/0.84 (step @p923 :rule cong :premises (@p922) :args (@t1091)) % 0.40/0.84 (step @p924 :rule trans :premises (@p923 @p921)) % 0.40/0.84 (step @p925 :rule cong :premises (@p924) :args (@t1092)) % 0.40/0.84 (step @p926 :rule quant-merge-prenex :args ((= @t1092 @t1093))) % 0.40/0.84 (step @p927 :rule symm :premises (@p926)) % 0.40/0.84 (step @p928 :rule quant_var_reordering :args ((= (forall @t12 @t1090) @t1093))) % 0.40/0.84 (step @p929 :rule trans :premises (@p928 @p927 @p925)) % 0.40/0.84 (step @p930 :rule trans :premises (@p929 @p920)) % 0.40/0.84 (step @p931 :rule refl :args (@t1086)) % 0.40/0.84 (step @p932 :rule refl :args (@t390)) % 0.40/0.84 (step @p933 :rule cong :premises (@p932 @p931) :args ((= @t390 @t1086))) % 0.40/0.84 (step @p934 :rule symm :premises (@p933)) % 0.40/0.84 (step @p935 :rule eq_resolve :premises (@p932 @p934)) % 0.40/0.84 (step @p936 :rule refl :args (@t666)) % 0.40/0.84 (step @p937 :rule refl :args (@t33)) % 0.40/0.84 (step @p938 :rule cong :premises (@p937 @p936) :args ((= @t33 @t666))) % 0.40/0.84 (step @p939 :rule symm :premises (@p938)) % 0.40/0.84 (step @p940 :rule eq_resolve :premises (@p937 @p939)) % 0.40/0.84 (step @p941 :rule cong :premises (@p940 @p935) :args (@t391)) % 0.40/0.84 (step @p942 :rule nary_cong :premises (@p421 @p941) :args (@t1094)) % 0.40/0.84 (step @p943 :rule cong :premises (@p942) :args ((forall @t12 @t1094))) % 0.40/0.84 (step @p944 :rule trans :premises (@p943 @p930)) % 0.40/0.84 (step @p945 :rule bool-impl-elim :args (@t3 @t391)) % 0.40/0.84 (step @p946 :rule cong :premises (@p945) :args (@t392)) % 0.40/0.84 (step @p947 :rule trans :premises (@p946 @p944)) % 0.40/0.84 (step @p948 :rule refl :args (tptp.powerset__Cong)) % 0.40/0.84 (step @p949 :rule cong :premises (@p948 @p947) :args (@t393)) % 0.40/0.84 (step @p950 :rule trans :premises (@p949 @p914)) % 0.40/0.84 (step @p951 :rule eq_resolve :premises (@p70 @p950)) % 0.40/0.84 (step @p952 :rule eq_resolve :premises (@p951 @p915)) % 0.40/0.84 (step @p953 :rule cong :premises (@p952 @p913) :args (@t1095)) % 0.40/0.84 (step @p954 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 0.40/0.84 (step @p955 :rule symm :premises (@p954)) % 0.40/0.84 (step @p956 :rule quant-unused-vars :args ((= (forall @t1097 true) true))) % 0.40/0.84 (step @p957 :rule eq-refl :args (@t1098)) % 0.40/0.84 (step @p958 :rule nary_cong :premises (@p761 @p957) :args (@t1099)) % 0.40/0.84 (step @p959 :rule trans :premises (@p958 @p875)) % 0.40/0.84 (step @p960 :rule cong :premises (@p959) :args ((forall @t1097 @t1099))) % 0.40/0.84 (step @p961 :rule trans :premises (@p960 @p956)) % 0.40/0.84 (step @p962 :rule quant-var-elim-eq :args ((= (forall @t9 @t1101) @t1099))) % 0.40/0.84 (step @p963 :rule aci_norm :args ((= @t1102 @t1101))) % 0.40/0.84 (step @p964 :rule cong :premises (@p963) :args (@t1103)) % 0.40/0.84 (step @p965 :rule trans :premises (@p964 @p962)) % 0.40/0.84 (step @p966 :rule cong :premises (@p965) :args (@t1104)) % 0.40/0.84 (step @p967 :rule quant-merge-prenex :args ((= @t1104 @t1105))) % 0.40/0.84 (step @p968 :rule symm :premises (@p967)) % 0.40/0.84 (step @p969 :rule quant_var_reordering :args ((= @t1106 @t1105))) % 0.40/0.84 (step @p970 :rule trans :premises (@p969 @p968 @p966)) % 0.40/0.84 (step @p971 :rule trans :premises (@p970 @p961)) % 0.40/0.84 (step @p972 :rule quant-merge-prenex :args ((= (forall @t135 @t1108) @t1106))) % 0.40/0.84 (step @p973 :rule alpha_equiv :args (@t1109 (@list @t1096) (@list @t380))) % 0.40/0.84 (step @p974 :rule nary_cong :premises (@p570 @p973) :args (@t1110)) % 0.40/0.84 (step @p975 :rule quant-miniscope-or :args ((= @t1108 @t1110))) % 0.40/0.84 (step @p976 :rule trans :premises (@p975 @p974)) % 0.40/0.84 (step @p977 :rule symm :premises (@p976)) % 0.40/0.84 (step @p978 :rule cong :premises (@p977) :args ((forall @t135 (or @t282 @t1115)))) % 0.40/0.84 (step @p979 :rule trans :premises (@p978 @p972)) % 0.40/0.84 (step @p980 :rule trans :premises (@p979 @p971)) % 0.40/0.84 (step @p981 :rule bool-impl-elim :args (@t129 @t1115)) % 0.40/0.84 (step @p982 :rule cong :premises (@p981) :args ((forall @t135 (=> @t129 @t1115)))) % 0.40/0.84 (step @p983 :rule trans :premises (@p982 @p980)) % 0.40/0.84 (step @p984 :rule aci_norm :args ((= (or false @t1113) @t1113))) % 0.40/0.84 (step @p985 :rule eq-symm :args (@t1111 @t1112)) % 0.40/0.84 (step @p986 :rule eq-refl :args (@t380)) % 0.40/0.84 (step @p987 :rule cong :premises (@p986) :args (@t1116)) % 0.40/0.84 (step @p988 :rule trans :premises (@p987 @p404)) % 0.40/0.84 (step @p989 :rule nary_cong :premises (@p988 @p985) :args (@t1117)) % 0.40/0.84 (step @p990 :rule trans :premises (@p989 @p984)) % 0.40/0.84 (step @p991 :rule cong :premises (@p990) :args ((forall @t1114 @t1117))) % 0.40/0.84 (step @p992 :rule quant-var-elim-eq :args ((= (forall @t1122 @t1121) @t1117))) % 0.40/0.84 (step @p993 :rule aci_norm :args ((= @t1123 @t1121))) % 0.40/0.84 (step @p994 :rule cong :premises (@p993) :args (@t1124)) % 0.40/0.84 (step @p995 :rule trans :premises (@p994 @p992)) % 0.40/0.84 (step @p996 :rule cong :premises (@p995) :args (@t1125)) % 0.40/0.84 (step @p997 :rule quant-merge-prenex :args ((= @t1125 @t1126))) % 0.40/0.84 (step @p998 :rule symm :premises (@p997)) % 0.40/0.84 (step @p999 :rule quant_var_reordering :args ((= (forall @t385 @t1123) @t1126))) % 0.40/0.84 (step @p1000 :rule trans :premises (@p999 @p998 @p996)) % 0.40/0.84 (step @p1001 :rule trans :premises (@p1000 @p991)) % 0.40/0.84 (step @p1002 :rule refl :args (@t1112)) % 0.40/0.84 (step @p1003 :rule refl :args (@t381)) % 0.40/0.84 (step @p1004 :rule cong :premises (@p1003 @p1002) :args ((= @t381 @t1112))) % 0.40/0.84 (step @p1005 :rule symm :premises (@p1004)) % 0.40/0.84 (step @p1006 :rule eq_resolve :premises (@p1003 @p1005)) % 0.40/0.84 (step @p1007 :rule refl :args (@t1118)) % 0.40/0.84 (step @p1008 :rule refl :args (@t382)) % 0.40/0.84 (step @p1009 :rule cong :premises (@p1008 @p1007) :args ((= @t382 @t1118))) % 0.40/0.84 (step @p1010 :rule symm :premises (@p1009)) % 0.40/0.84 (step @p1011 :rule eq_resolve :premises (@p1008 @p1010)) % 0.40/0.84 (step @p1012 :rule cong :premises (@p1011 @p1006) :args (@t383)) % 0.40/0.84 (step @p1013 :rule refl :args (@t1120)) % 0.40/0.84 (step @p1014 :rule nary_cong :premises (@p1013 @p1012) :args (@t1127)) % 0.40/0.84 (step @p1015 :rule cong :premises (@p1014) :args ((forall @t385 @t1127))) % 0.40/0.84 (step @p1016 :rule trans :premises (@p1015 @p1001)) % 0.40/0.84 (step @p1017 :rule bool-impl-elim :args (@t384 @t383)) % 0.40/0.84 (step @p1018 :rule cong :premises (@p1017) :args (@t386)) % 0.40/0.84 (step @p1019 :rule trans :premises (@p1018 @p1016)) % 0.40/0.84 (step @p1020 :rule cong :premises (@p714 @p1019) :args (@t387)) % 0.40/0.84 (step @p1021 :rule cong :premises (@p1020) :args (@t388)) % 0.40/0.84 (step @p1022 :rule trans :premises (@p1021 @p983)) % 0.40/0.84 (step @p1023 :rule refl :args (tptp.setadjoin__Cong)) % 0.40/0.84 (step @p1024 :rule cong :premises (@p1023 @p1022) :args (@t389)) % 0.40/0.84 (step @p1025 :rule trans :premises (@p1024 @p954)) % 0.40/0.84 (step @p1026 :rule eq_resolve :premises (@p69 @p1025)) % 0.40/0.84 (step @p1027 :rule eq_resolve :premises (@p1026 @p955)) % 0.40/0.84 (step @p1028 :rule cong :premises (@p1027 @p953) :args (@t1128)) % 0.40/0.84 (step @p1029 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 0.40/0.84 (step @p1030 :rule symm :premises (@p1029)) % 0.40/0.84 (step @p1031 :rule eq-refl :args (tptp.emptyset)) % 0.40/0.84 (step @p1032 :rule refl :args (tptp.emptyset__Cong)) % 0.40/0.84 (step @p1033 :rule cong :premises (@p1032 @p1031) :args (@t379)) % 0.40/0.84 (step @p1034 :rule trans :premises (@p1033 @p1029)) % 0.40/0.84 (step @p1035 :rule eq_resolve :premises (@p68 @p1034)) % 0.40/0.84 (step @p1036 :rule eq_resolve :premises (@p1035 @p1030)) % 0.40/0.84 (step @p1037 :rule cong :premises (@p1036 @p1028) :args (@t1129)) % 0.40/0.84 (step @p1038 :rule bool-impl-elim :args (@t561 @t584)) % 0.40/0.84 (step @p1039 :rule cong :premises (@p1038) :args ((forall @t375 (=> @t561 @t584)))) % 0.40/0.84 (step @p1040 :rule cong :premises (@p755 @p728) :args (@t1130)) % 0.40/0.84 (step @p1041 :rule cong :premises (@p779 @p1040) :args (@t1131)) % 0.40/0.84 (step @p1042 :rule cong :premises (@p1041) :args (@t1132)) % 0.40/0.84 (step @p1043 :rule trans :premises (@p1042 @p1039)) % 0.40/0.84 (step @p1044 :rule refl :args (tptp.exu__Cong)) % 0.40/0.84 (step @p1045 :rule cong :premises (@p1044 @p1043) :args ((= tptp.exu__Cong @t1132))) % 0.40/0.84 (step @p1046 :rule cong :premises (@p804 @p801) :args (@t369)) % 0.40/0.84 (step @p1047 :rule cong :premises (@p806 @p1046) :args (@t374)) % 0.40/0.84 (step @p1048 :rule cong :premises (@p1047) :args (@t376)) % 0.40/0.84 (step @p1049 :rule cong :premises (@p1044 @p1048) :args (@t377)) % 0.40/0.84 (step @p1050 :rule trans :premises (@p1049 @p1045)) % 0.40/0.84 (step @p1051 :rule eq_resolve :premises (@p67 @p1050)) % 0.40/0.84 (step @p1052 :rule cong :premises (@p1051 @p1037) :args (@t1133)) % 0.40/0.84 (step @p1053 :rule refl :args (tptp.exuE3u)) % 0.40/0.84 (step @p1054 :rule cong :premises (@p1053 @p853) :args ((= tptp.exuE3u @t1073))) % 0.40/0.84 (step @p1055 :rule cong :premises (@p1053 @p858) :args (@t364)) % 0.40/0.84 (step @p1056 :rule trans :premises (@p1055 @p1054)) % 0.40/0.84 (step @p1057 :rule eq_resolve :premises (@p66 @p1056)) % 0.40/0.84 (step @p1058 :rule cong :premises (@p1057 @p1052) :args (@t1134)) % 0.40/0.84 (step @p1059 :rule bool-eq-true :args (tptp.in__Cong)) % 0.40/0.84 (step @p1060 :rule symm :premises (@p1059)) % 0.40/0.84 (step @p1061 :rule quant-unused-vars :args ((= (forall @t1136 true) true))) % 0.40/0.84 (step @p1062 :rule eq-refl :args (@t1137)) % 0.40/0.84 (step @p1063 :rule nary_cong :premises (@p407 @p1062) :args (@t1138)) % 0.40/0.84 (step @p1064 :rule trans :premises (@p1063 @p875)) % 0.40/0.84 (step @p1065 :rule cong :premises (@p1064) :args ((forall @t1136 @t1138))) % 0.40/0.84 (step @p1066 :rule trans :premises (@p1065 @p1061)) % 0.40/0.84 (step @p1067 :rule quant-var-elim-eq :args ((= (forall @t64 @t1140) @t1138))) % 0.40/0.84 (step @p1068 :rule aci_norm :args ((= @t1141 @t1140))) % 0.40/0.84 (step @p1069 :rule cong :premises (@p1068) :args (@t1142)) % 0.40/0.84 (step @p1070 :rule trans :premises (@p1069 @p1067)) % 0.40/0.84 (step @p1071 :rule cong :premises (@p1070) :args (@t1143)) % 0.40/0.84 (step @p1072 :rule quant-merge-prenex :args ((= @t1143 @t1144))) % 0.40/0.84 (step @p1073 :rule symm :premises (@p1072)) % 0.40/0.84 (step @p1074 :rule quant_var_reordering :args ((= @t1145 @t1144))) % 0.40/0.84 (step @p1075 :rule trans :premises (@p1074 @p1073 @p1071)) % 0.40/0.84 (step @p1076 :rule trans :premises (@p1075 @p1066)) % 0.40/0.84 (step @p1077 :rule quant-merge-prenex :args ((= (forall @t12 @t1147) @t1145))) % 0.40/0.84 (step @p1078 :rule alpha_equiv :args (@t1148 (@list @t1135) @t1149)) % 0.40/0.84 (step @p1079 :rule nary_cong :premises (@p421 @p1078) :args (@t1150)) % 0.40/0.84 (step @p1080 :rule quant-miniscope-or :args ((= @t1147 @t1150))) % 0.40/0.84 (step @p1081 :rule trans :premises (@p1080 @p1079)) % 0.40/0.84 (step @p1082 :rule symm :premises (@p1081)) % 0.40/0.84 (step @p1083 :rule cong :premises (@p1082) :args ((forall @t12 (or @t927 @t1152)))) % 0.40/0.84 (step @p1084 :rule trans :premises (@p1083 @p1077)) % 0.40/0.84 (step @p1085 :rule trans :premises (@p1084 @p1076)) % 0.40/0.84 (step @p1086 :rule bool-impl-elim :args (@t3 @t1152)) % 0.40/0.84 (step @p1087 :rule cong :premises (@p1086) :args ((forall @t12 (=> @t3 @t1152)))) % 0.40/0.84 (step @p1088 :rule trans :premises (@p1087 @p1085)) % 0.40/0.84 (step @p1089 :rule aci_norm :args ((= (or false @t1151) @t1151))) % 0.40/0.84 (step @p1090 :rule refl :args (@t1151)) % 0.40/0.84 (step @p1091 :rule nary_cong :premises (@p761 @p1090) :args (@t1153)) % 0.40/0.84 (step @p1092 :rule trans :premises (@p1091 @p1089)) % 0.40/0.84 (step @p1093 :rule cong :premises (@p1092) :args ((forall @t70 @t1153))) % 0.40/0.84 (step @p1094 :rule quant-var-elim-eq :args ((= (forall @t9 @t1155) @t1153))) % 0.40/0.84 (step @p1095 :rule aci_norm :args ((= @t1156 @t1155))) % 0.40/0.84 (step @p1096 :rule cong :premises (@p1095) :args (@t1157)) % 0.40/0.84 (step @p1097 :rule trans :premises (@p1096 @p1094)) % 0.40/0.84 (step @p1098 :rule cong :premises (@p1097) :args (@t1158)) % 0.40/0.84 (step @p1099 :rule quant-merge-prenex :args ((= @t1158 @t1159))) % 0.40/0.84 (step @p1100 :rule symm :premises (@p1099)) % 0.40/0.84 (step @p1101 :rule quant_var_reordering :args ((= (forall @t135 @t1156) @t1159))) % 0.40/0.84 (step @p1102 :rule trans :premises (@p1101 @p1100 @p1098)) % 0.40/0.84 (step @p1103 :rule trans :premises (@p1102 @p1093)) % 0.40/0.84 (step @p1104 :rule cong :premises (@p324 @p590) :args (@t357)) % 0.40/0.84 (step @p1105 :rule nary_cong :premises (@p570 @p1104) :args (@t1160)) % 0.40/0.84 (step @p1106 :rule cong :premises (@p1105) :args ((forall @t135 @t1160))) % 0.40/0.84 (step @p1107 :rule trans :premises (@p1106 @p1103)) % 0.40/0.84 (step @p1108 :rule bool-impl-elim :args (@t129 @t357)) % 0.40/0.84 (step @p1109 :rule cong :premises (@p1108) :args (@t358)) % 0.40/0.84 (step @p1110 :rule trans :premises (@p1109 @p1107)) % 0.40/0.84 (step @p1111 :rule cong :premises (@p611 @p1110) :args (@t359)) % 0.40/0.84 (step @p1112 :rule cong :premises (@p1111) :args (@t360)) % 0.40/0.84 (step @p1113 :rule trans :premises (@p1112 @p1088)) % 0.40/0.84 (step @p1114 :rule refl :args (tptp.in__Cong)) % 0.40/0.84 (step @p1115 :rule cong :premises (@p1114 @p1113) :args (@t361)) % 0.40/0.84 (step @p1116 :rule trans :premises (@p1115 @p1059)) % 0.40/0.84 (step @p1117 :rule eq_resolve :premises (@p65 @p1116)) % 0.40/0.84 (step @p1118 :rule eq_resolve :premises (@p1117 @p1060)) % 0.40/0.84 (step @p1119 :rule cong :premises (@p1118 @p1058) :args (@t1161)) % 0.40/0.84 (step @p1120 :rule bool-eq-true :args (tptp.inCongP)) % 0.40/0.84 (step @p1121 :rule symm :premises (@p1120)) % 0.40/0.84 (step @p1122 :rule quant-unused-vars :args ((= (forall @t1163 true) true))) % 0.40/0.84 (step @p1123 :rule bool-or-taut2 :args (false @t1164 false false)) % 0.40/0.84 (step @p1124 :rule cong :premises (@p1123) :args ((forall @t1163 @t1166))) % 0.40/0.84 (step @p1125 :rule trans :premises (@p1124 @p1122)) % 0.40/0.84 (step @p1126 :rule aci_norm :args ((= (or false @t1165 @t1164) @t1166))) % 0.40/0.84 (step @p1127 :rule refl :args (@t1164)) % 0.40/0.84 (step @p1128 :rule refl :args (@t1165)) % 0.40/0.84 (step @p1129 :rule nary_cong :premises (@p407 @p1128 @p1127) :args (@t1167)) % 0.40/0.84 (step @p1130 :rule trans :premises (@p1129 @p1126)) % 0.40/0.84 (step @p1131 :rule cong :premises (@p1130) :args ((forall @t1163 @t1167))) % 0.40/0.84 (step @p1132 :rule trans :premises (@p1131 @p1125)) % 0.40/0.84 (step @p1133 :rule quant-var-elim-eq :args ((= (forall @t64 @t1169) @t1167))) % 0.40/0.84 (step @p1134 :rule aci_norm :args ((= @t1170 @t1169))) % 0.40/0.84 (step @p1135 :rule cong :premises (@p1134) :args (@t1171)) % 0.40/0.84 (step @p1136 :rule trans :premises (@p1135 @p1133)) % 0.40/0.84 (step @p1137 :rule cong :premises (@p1136) :args (@t1172)) % 0.40/0.84 (step @p1138 :rule quant-merge-prenex :args ((= @t1172 @t1173))) % 0.40/0.84 (step @p1139 :rule symm :premises (@p1138)) % 0.40/0.84 (step @p1140 :rule quant_var_reordering :args ((= (forall @t1174 @t1170) @t1173))) % 0.40/0.84 (step @p1141 :rule trans :premises (@p1140 @p1139 @p1137)) % 0.40/0.84 (step @p1142 :rule trans :premises (@p1141 @p1132)) % 0.40/0.84 (step @p1143 :rule aci_norm :args ((= @t1176 @t1170))) % 0.40/0.84 (step @p1144 :rule cong :premises (@p1143) :args (@t1177)) % 0.40/0.84 (step @p1145 :rule trans :premises (@p1144 @p1142)) % 0.40/0.84 (step @p1146 :rule quant-merge-prenex :args ((= (forall @t12 @t1179) @t1177))) % 0.40/0.84 (step @p1147 :rule alpha_equiv :args (@t1180 (@list @t1162) @t1149)) % 0.40/0.84 (step @p1148 :rule nary_cong :premises (@p421 @p1147) :args (@t1181)) % 0.40/0.84 (step @p1149 :rule quant-miniscope-or :args ((= @t1179 @t1181))) % 0.40/0.84 (step @p1150 :rule trans :premises (@p1149 @p1148)) % 0.40/0.84 (step @p1151 :rule symm :premises (@p1150)) % 0.40/0.84 (step @p1152 :rule cong :premises (@p1151) :args ((forall @t12 (or @t927 @t1183)))) % 0.40/0.84 (step @p1153 :rule trans :premises (@p1152 @p1146)) % 0.40/0.84 (step @p1154 :rule trans :premises (@p1153 @p1145)) % 0.40/0.84 (step @p1155 :rule bool-impl-elim :args (@t3 @t1183)) % 0.40/0.84 (step @p1156 :rule cong :premises (@p1155) :args ((forall @t12 (=> @t3 @t1183)))) % 0.40/0.84 (step @p1157 :rule trans :premises (@p1156 @p1154)) % 0.40/0.84 (step @p1158 :rule aci_norm :args ((= (or false @t689 @t980) @t1182))) % 0.40/0.84 (step @p1159 :rule refl :args (@t980)) % 0.40/0.84 (step @p1160 :rule refl :args (@t689)) % 0.40/0.84 (step @p1161 :rule nary_cong :premises (@p761 @p1160 @p1159) :args (@t1184)) % 0.40/0.84 (step @p1162 :rule trans :premises (@p1161 @p1158)) % 0.40/0.84 (step @p1163 :rule cong :premises (@p1162) :args ((forall @t70 @t1184))) % 0.40/0.84 (step @p1164 :rule quant-var-elim-eq :args ((= (forall @t9 @t1185) @t1184))) % 0.40/0.84 (step @p1165 :rule aci_norm :args ((= @t1186 @t1185))) % 0.40/0.84 (step @p1166 :rule cong :premises (@p1165) :args (@t1187)) % 0.40/0.84 (step @p1167 :rule trans :premises (@p1166 @p1164)) % 0.40/0.84 (step @p1168 :rule cong :premises (@p1167) :args (@t1188)) % 0.40/0.84 (step @p1169 :rule quant-merge-prenex :args ((= @t1188 @t1189))) % 0.40/0.84 (step @p1170 :rule symm :premises (@p1169)) % 0.40/0.84 (step @p1171 :rule quant_var_reordering :args ((= (forall @t135 @t1186) @t1189))) % 0.40/0.84 (step @p1172 :rule trans :premises (@p1171 @p1170 @p1168)) % 0.40/0.84 (step @p1173 :rule trans :premises (@p1172 @p1163)) % 0.40/0.84 (step @p1174 :rule nary_cong :premises (@p570 @p325 @p590) :args (@t1190)) % 0.40/0.84 (step @p1175 :rule cong :premises (@p1174) :args ((forall @t135 @t1190))) % 0.40/0.84 (step @p1176 :rule trans :premises (@p1175 @p1173)) % 0.40/0.84 (step @p1177 :rule aci_norm :args ((= (or @t282 (or @t197 @t351)) @t1190))) % 0.40/0.84 (step @p1178 :rule bool-impl-elim :args (@t7 @t351)) % 0.40/0.84 (step @p1179 :rule nary_cong :premises (@p570 @p1178) :args ((or @t282 @t352))) % 0.40/0.84 (step @p1180 :rule trans :premises (@p1179 @p1177)) % 0.40/0.84 (step @p1181 :rule bool-impl-elim :args (@t129 @t352)) % 0.40/0.84 (step @p1182 :rule trans :premises (@p1181 @p1180)) % 0.40/0.84 (step @p1183 :rule cong :premises (@p1182) :args (@t353)) % 0.40/0.84 (step @p1184 :rule trans :premises (@p1183 @p1176)) % 0.40/0.84 (step @p1185 :rule cong :premises (@p611 @p1184) :args (@t354)) % 0.40/0.84 (step @p1186 :rule cong :premises (@p1185) :args (@t355)) % 0.40/0.84 (step @p1187 :rule trans :premises (@p1186 @p1157)) % 0.40/0.84 (step @p1188 :rule refl :args (tptp.inCongP)) % 0.40/0.84 (step @p1189 :rule cong :premises (@p1188 @p1187) :args (@t356)) % 0.40/0.84 (step @p1190 :rule trans :premises (@p1189 @p1120)) % 0.40/0.84 (step @p1191 :rule eq_resolve :premises (@p64 @p1190)) % 0.40/0.84 (step @p1192 :rule eq_resolve :premises (@p1191 @p1121)) % 0.40/0.84 (step @p1193 :rule cong :premises (@p1192 @p1119) :args (@t1191)) % 0.40/0.84 (step @p1194 :rule refl :args (@t583)) % 0.40/0.84 (step @p1195 :rule eq-symm :args (@t586 @t19)) % 0.40/0.84 (step @p1196 :rule refl :args (@t555)) % 0.40/0.84 (step @p1197 :rule cong :premises (@p1196 @p1195) :args ((= @t555 @t1192))) % 0.40/0.84 (step @p1198 :rule eq-symm :args (@t1192 @t555)) % 0.40/0.84 (step @p1199 :rule trans :premises (@p1198 @p1197)) % 0.40/0.84 (step @p1200 :rule cong :premises (@p1199) :args (@t1193)) % 0.40/0.84 (step @p1201 :rule cong :premises (@p1200) :args (@t1194)) % 0.40/0.84 (step @p1202 :rule nary_cong :premises (@p1201 @p1194) :args (@t1195)) % 0.40/0.84 (step @p1203 :rule cong :premises (@p1202) :args (@t1196)) % 0.40/0.84 (step @p1204 :rule quant-merge-prenex :args ((= (forall @t150 @t1198) @t1196))) % 0.40/0.84 (step @p1205 :rule refl :args (@t583)) % 0.40/0.84 (step @p1206 :rule alpha_equiv :args (@t1199 (@list @t586) @t1001)) % 0.40/0.84 (step @p1207 :rule nary_cong :premises (@p1206 @p1205) :args (@t1200)) % 0.40/0.84 (step @p1208 :rule quant-miniscope-or :args ((= @t1198 @t1200))) % 0.40/0.84 (step @p1209 :rule trans :premises (@p1208 @p1207)) % 0.40/0.84 (step @p1210 :rule symm :premises (@p1209)) % 0.40/0.84 (step @p1211 :rule cong :premises (@p1210) :args ((forall @t150 (or @t647 @t583)))) % 0.40/0.84 (step @p1212 :rule trans :premises (@p1211 @p1204)) % 0.40/0.84 (step @p1213 :rule trans :premises (@p1212 @p1203)) % 0.40/0.84 (step @p1214 :rule bool-double-not-elim :args (@t647)) % 0.40/0.84 (step @p1215 :rule nary_cong :premises (@p1214 @p1205) :args ((or (not @t648) @t583))) % 0.40/0.84 (step @p1216 :rule bool-impl-elim :args (@t648 @t583)) % 0.40/0.84 (step @p1217 :rule trans :premises (@p1216 @p1215)) % 0.40/0.84 (step @p1218 :rule cong :premises (@p1217) :args ((forall @t150 (=> @t648 @t583)))) % 0.40/0.84 (step @p1219 :rule trans :premises (@p1218 @p1213)) % 0.40/0.84 (step @p1220 :rule exists-elim :args ((= (exists @t9 @t646) @t648))) % 0.40/0.84 (step @p1221 :rule eq-symm :args (@t555 @t129)) % 0.40/0.84 (step @p1222 :rule cong :premises (@p1221) :args ((forall @t70 (= @t555 @t129)))) % 0.40/0.84 (step @p1223 :rule cong :premises (@p738 @p710) :args (@t1201)) % 0.40/0.84 (step @p1224 :rule cong :premises (@p1223) :args ((forall @t70 @t1201))) % 0.40/0.84 (step @p1225 :rule trans :premises (@p1224 @p1222)) % 0.40/0.84 (step @p1226 :rule eq-symm :args (@t19 @t4)) % 0.40/0.84 (step @p1227 :rule refl :args (@t153)) % 0.40/0.84 (step @p1228 :rule cong :premises (@p1227 @p1226) :args (@t263)) % 0.40/0.84 (step @p1229 :rule cong :premises (@p1228) :args (@t264)) % 0.40/0.84 (step @p1230 :rule trans :premises (@p1229 @p1225)) % 0.40/0.84 (step @p1231 :rule cong :premises (@p1230) :args (@t265)) % 0.40/0.84 (step @p1232 :rule trans :premises (@p1231 @p1220)) % 0.40/0.84 (step @p1233 :rule cong :premises (@p1232 @p755) :args (@t1202)) % 0.40/0.84 (step @p1234 :rule cong :premises (@p1233) :args (@t1203)) % 0.40/0.84 (step @p1235 :rule trans :premises (@p1234 @p1219)) % 0.40/0.84 (step @p1236 :rule refl :args (tptp.exuI2)) % 0.40/0.84 (step @p1237 :rule cong :premises (@p1236 @p1235) :args ((= tptp.exuI2 @t1203))) % 0.40/0.84 (step @p1238 :rule refl :args (@t265)) % 0.40/0.84 (step @p1239 :rule cong :premises (@p1238 @p804) :args (@t348)) % 0.40/0.84 (step @p1240 :rule cong :premises (@p1239) :args (@t349)) % 0.40/0.84 (step @p1241 :rule cong :premises (@p1236 @p1240) :args (@t350)) % 0.40/0.84 (step @p1242 :rule trans :premises (@p1241 @p1237)) % 0.40/0.84 (step @p1243 :rule eq_resolve :premises (@p63 @p1242)) % 0.40/0.84 (step @p1244 :rule cong :premises (@p1243 @p1193) :args (@t1204)) % 0.40/0.84 (step @p1245 :rule quant-merge-prenex :args ((= (forall @t150 @t1206) @t594))) % 0.40/0.84 (step @p1246 :rule refl :args (@t590)) % 0.40/0.84 (step @p1247 :rule alpha_equiv :args (@t1207 (@list @t591) @t1001)) % 0.40/0.84 (step @p1248 :rule nary_cong :premises (@p1247 @p1246 @p1205) :args (@t1208)) % 0.40/0.84 (step @p1249 :rule quant-miniscope-or :args ((= @t1206 @t1208))) % 0.40/0.84 (step @p1250 :rule trans :premises (@p1249 @p1248)) % 0.40/0.84 (step @p1251 :rule symm :premises (@p1250)) % 0.40/0.84 (step @p1252 :rule cong :premises (@p1251) :args ((forall @t150 @t1209))) % 0.40/0.84 (step @p1253 :rule trans :premises (@p1252 @p1245)) % 0.40/0.84 (step @p1254 :rule aci_norm :args ((= (or @t718 (or @t590 @t583)) @t1209))) % 0.40/0.84 (step @p1255 :rule bool-impl-elim :args (@t589 @t583)) % 0.40/0.84 (step @p1256 :rule refl :args (@t718)) % 0.40/0.84 (step @p1257 :rule nary_cong :premises (@p1256 @p1255) :args ((or @t718 @t1210))) % 0.40/0.84 (step @p1258 :rule trans :premises (@p1257 @p1254)) % 0.40/0.84 (step @p1259 :rule refl :args (@t1210)) % 0.40/0.84 (step @p1260 :rule bool-double-not-elim :args (@t718)) % 0.40/0.84 (step @p1261 :rule nary_cong :premises (@p1260 @p1259) :args ((or (not @t719) @t1210))) % 0.40/0.84 (step @p1262 :rule bool-impl-elim :args (@t719 @t1210)) % 0.40/0.84 (step @p1263 :rule trans :premises (@p1262 @p1261)) % 0.40/0.84 (step @p1264 :rule trans :premises (@p1263 @p1258)) % 0.40/0.84 (step @p1265 :rule cong :premises (@p1264) :args ((forall @t150 (=> @t719 @t1210)))) % 0.40/0.84 (step @p1266 :rule trans :premises (@p1265 @p1253)) % 0.40/0.84 (step @p1267 :rule cong :premises (@p850 @p755) :args (@t1211)) % 0.40/0.84 (step @p1268 :rule cong :premises (@p731) :args (@t1212)) % 0.40/0.84 (step @p1269 :rule cong :premises (@p1268) :args (@t1213)) % 0.40/0.84 (step @p1270 :rule exists-elim :args ((= @t186 @t1213))) % 0.40/0.84 (step @p1271 :rule trans :premises (@p1270 @p1269)) % 0.40/0.84 (step @p1272 :rule cong :premises (@p1271 @p1267) :args (@t1214)) % 0.40/0.84 (step @p1273 :rule cong :premises (@p1272) :args (@t1215)) % 0.40/0.84 (step @p1274 :rule trans :premises (@p1273 @p1266)) % 0.40/0.84 (step @p1275 :rule refl :args (tptp.exuI3)) % 0.40/0.84 (step @p1276 :rule cong :premises (@p1275 @p1274) :args ((= tptp.exuI3 @t1215))) % 0.40/0.84 (step @p1277 :rule cong :premises (@p856 @p804) :args (@t344)) % 0.40/0.84 (step @p1278 :rule refl :args (@t186)) % 0.40/0.84 (step @p1279 :rule cong :premises (@p1278 @p1277) :args (@t345)) % 0.40/0.84 (step @p1280 :rule cong :premises (@p1279) :args (@t346)) % 0.40/0.84 (step @p1281 :rule cong :premises (@p1275 @p1280) :args (@t347)) % 0.40/0.84 (step @p1282 :rule trans :premises (@p1281 @p1276)) % 0.40/0.84 (step @p1283 :rule eq_resolve :premises (@p62 @p1282)) % 0.40/0.84 (step @p1284 :rule cong :premises (@p1283 @p1244) :args (@t1216)) % 0.40/0.84 (step @p1285 :rule bool-eq-true :args (tptp.exuI1)) % 0.40/0.84 (step @p1286 :rule symm :premises (@p1285)) % 0.40/0.84 (step @p1287 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 0.40/0.84 (step @p1288 :rule bool-or-taut :args (false @t582 false false)) % 0.40/0.84 (step @p1289 :rule nary_cong :premises (@p694 @p1205) :args ((or @t1011 @t583))) % 0.40/0.84 (step @p1290 :rule bool-impl-elim :args (@t583 @t583)) % 0.40/0.84 (step @p1291 :rule trans :premises (@p1290 @p1289)) % 0.40/0.84 (step @p1292 :rule trans :premises (@p1291 @p1288)) % 0.40/0.84 (step @p1293 :rule cong :premises (@p1292) :args ((forall @t150 (=> @t583 @t583)))) % 0.40/0.84 (step @p1294 :rule trans :premises (@p1293 @p1287)) % 0.40/0.84 (step @p1295 :rule cong :premises (@p798 @p755) :args (@t1217)) % 0.40/0.84 (step @p1296 :rule cong :premises (@p1295) :args (@t1218)) % 0.40/0.84 (step @p1297 :rule trans :premises (@p1296 @p1294)) % 0.40/0.84 (step @p1298 :rule refl :args (tptp.exuI1)) % 0.40/0.84 (step @p1299 :rule cong :premises (@p1298 @p1297) :args ((= tptp.exuI1 @t1218))) % 0.40/0.84 (step @p1300 :rule trans :premises (@p1299 @p1285)) % 0.40/0.84 (step @p1301 :rule refl :args (@t169)) % 0.40/0.84 (step @p1302 :rule cong :premises (@p1301 @p804) :args (@t340)) % 0.40/0.84 (step @p1303 :rule cong :premises (@p1302) :args (@t341)) % 0.40/0.84 (step @p1304 :rule cong :premises (@p1298 @p1303) :args (@t342)) % 0.40/0.84 (step @p1305 :rule trans :premises (@p1304 @p1300)) % 0.40/0.84 (step @p1306 :rule eq_resolve :premises (@p61 @p1305)) % 0.40/0.84 (step @p1307 :rule eq_resolve :premises (@p1306 @p1286)) % 0.40/0.84 (step @p1308 :rule cong :premises (@p1307 @p1284) :args (@t1219)) % 0.40/0.84 (step @p1309 :rule bool-eq-true :args (tptp.notdallE)) % 0.40/0.84 (step @p1310 :rule symm :premises (@p1309)) % 0.40/0.84 (step @p1311 :rule bool-eq-true :args (tptp.notdallE)) % 0.40/0.84 (step @p1312 :rule eq-symm :args (true tptp.notdallE)) % 0.40/0.84 (step @p1313 :rule trans :premises (@p1312 @p1311)) % 0.40/0.84 (step @p1314 :rule refl :args (tptp.notdallE)) % 0.40/0.84 (step @p1315 :rule quant-unused-vars :args ((= (forall @t309 true) true))) % 0.40/0.84 (step @p1316 :rule bool-or-taut :args (false @t1220 false false)) % 0.40/0.84 (step @p1317 :rule refl :args (@t1221)) % 0.40/0.84 (step @p1318 :rule bool-double-not-elim :args (@t1220)) % 0.40/0.84 (step @p1319 :rule nary_cong :premises (@p1318 @p1317) :args ((or (not @t1221) @t1221))) % 0.40/0.84 (step @p1320 :rule bool-impl-elim :args (@t1221 @t1221)) % 0.40/0.84 (step @p1321 :rule trans :premises (@p1320 @p1319)) % 0.40/0.84 (step @p1322 :rule trans :premises (@p1321 @p1316)) % 0.40/0.84 (step @p1323 :rule cong :premises (@p1322) :args ((forall @t309 (=> @t1221 @t1221)))) % 0.40/0.84 (step @p1324 :rule trans :premises (@p1323 @p1315)) % 0.40/0.84 (step @p1325 :rule nary_cong :premises (@p325 @p538) :args (@t1222)) % 0.40/0.84 (step @p1326 :rule cong :premises (@p1325) :args ((forall @t9 @t1222))) % 0.40/0.84 (step @p1327 :rule bool-double-not-elim :args (@t144)) % 0.40/0.84 (step @p1328 :rule nary_cong :premises (@p340 @p1327) :args ((or @t197 (not @t315)))) % 0.40/0.84 (step @p1329 :rule bool-and-de-morgan :args (@t7 @t315 true)) % 0.40/0.84 (step @p1330 :rule trans :premises (@p1329 @p1328)) % 0.40/0.84 (step @p1331 :rule cong :premises (@p1330) :args (@t1223)) % 0.40/0.84 (step @p1332 :rule trans :premises (@p1331 @p1326)) % 0.40/0.84 (step @p1333 :rule cong :premises (@p1332) :args (@t1224)) % 0.40/0.84 (step @p1334 :rule exists-elim :args ((= @t317 @t1224))) % 0.40/0.84 (step @p1335 :rule trans :premises (@p1334 @p1333)) % 0.40/0.84 (step @p1336 :rule bool-impl-elim :args (@t7 @t144)) % 0.40/0.84 (step @p1337 :rule cong :premises (@p1336) :args (@t318)) % 0.40/0.84 (step @p1338 :rule trans :premises (@p1337 @p1326)) % 0.40/0.84 (step @p1339 :rule cong :premises (@p1338) :args (@t319)) % 0.40/0.84 (step @p1340 :rule cong :premises (@p1339 @p1335) :args (@t320)) % 0.40/0.84 (step @p1341 :rule cong :premises (@p1340) :args (@t321)) % 0.40/0.84 (step @p1342 :rule trans :premises (@p1341 @p1324)) % 0.40/0.84 (step @p1343 :rule cong :premises (@p1342 @p1314) :args ((= @t321 tptp.notdallE))) % 0.40/0.84 (step @p1344 :rule trans :premises (@p1343 @p1313)) % 0.40/0.84 (step @p1345 :rule eq-symm :args (tptp.notdallE @t321)) % 0.40/0.84 (step @p1346 :rule trans :premises (@p1345 @p1344)) % 0.40/0.84 (step @p1347 :rule eq_resolve :premises (@p60 @p1346)) % 0.40/0.84 (step @p1348 :rule eq_resolve :premises (@p1347 @p1310)) % 0.40/0.84 (step @p1349 :rule cong :premises (@p1348 @p1308) :args (@t1225)) % 0.40/0.84 (step @p1350 :rule bool-eq-true :args (tptp.notdexE)) % 0.40/0.84 (step @p1351 :rule symm :premises (@p1350)) % 0.40/0.84 (step @p1352 :rule bool-eq-true :args (tptp.notdexE)) % 0.40/0.84 (step @p1353 :rule eq-symm :args (true tptp.notdexE)) % 0.40/0.84 (step @p1354 :rule trans :premises (@p1353 @p1352)) % 0.40/0.84 (step @p1355 :rule refl :args (tptp.notdexE)) % 0.40/0.84 (step @p1356 :rule bool-or-taut2 :args (false @t1226 false false)) % 0.40/0.84 (step @p1357 :rule bool-impl-elim :args (@t1226 @t1226)) % 0.40/0.84 (step @p1358 :rule trans :premises (@p1357 @p1356)) % 0.40/0.84 (step @p1359 :rule cong :premises (@p1358) :args ((forall @t309 (=> @t1226 @t1226)))) % 0.40/0.84 (step @p1360 :rule trans :premises (@p1359 @p1315)) % 0.40/0.84 (step @p1361 :rule nary_cong :premises (@p325 @p731) :args (@t1227)) % 0.40/0.84 (step @p1362 :rule cong :premises (@p1361) :args ((forall @t9 @t1227))) % 0.40/0.84 (step @p1363 :rule bool-impl-elim :args (@t7 @t315)) % 0.40/0.84 (step @p1364 :rule cong :premises (@p1363) :args (@t324)) % 0.40/0.84 (step @p1365 :rule trans :premises (@p1364 @p1362)) % 0.40/0.84 (step @p1366 :rule bool-double-not-elim :args (@t1226)) % 0.40/0.84 (step @p1367 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 0.40/0.84 (step @p1368 :rule cong :premises (@p1367) :args (@t1228)) % 0.40/0.84 (step @p1369 :rule trans :premises (@p1368 @p1362)) % 0.40/0.84 (step @p1370 :rule cong :premises (@p1369) :args (@t1229)) % 0.40/0.84 (step @p1371 :rule exists-elim :args ((= @t307 @t1229))) % 0.40/0.84 (step @p1372 :rule trans :premises (@p1371 @p1370)) % 0.40/0.84 (step @p1373 :rule cong :premises (@p1372) :args (@t323)) % 0.40/0.84 (step @p1374 :rule trans :premises (@p1373 @p1366)) % 0.40/0.84 (step @p1375 :rule cong :premises (@p1374 @p1365) :args (@t328)) % 0.40/0.84 (step @p1376 :rule cong :premises (@p1375) :args (@t329)) % 0.40/0.84 (step @p1377 :rule trans :premises (@p1376 @p1360)) % 0.40/0.84 (step @p1378 :rule cong :premises (@p1377 @p1355) :args ((= @t329 tptp.notdexE))) % 0.40/0.84 (step @p1379 :rule trans :premises (@p1378 @p1354)) % 0.40/0.84 (step @p1380 :rule eq-symm :args (tptp.notdexE @t329)) % 0.40/0.84 (step @p1381 :rule trans :premises (@p1380 @p1379)) % 0.40/0.84 (step @p1382 :rule eq_resolve :premises (@p59 @p1381)) % 0.40/0.84 (step @p1383 :rule eq_resolve :premises (@p1382 @p1351)) % 0.40/0.84 (step @p1384 :rule cong :premises (@p1383 @p1349) :args (@t1230)) % 0.40/0.84 (step @p1385 :rule aci_norm :args ((= (or false @t597) @t597))) % 0.40/0.84 (step @p1386 :rule nary_cong :premises (@p404 @p248) :args (@t1231)) % 0.40/0.84 (step @p1387 :rule trans :premises (@p1386 @p1385)) % 0.40/0.84 (step @p1388 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1235 @t1234 @t1233)) @t1231))) % 0.40/0.84 (step @p1389 :rule refl :args (@t1233)) % 0.40/0.84 (step @p1390 :rule refl :args (@t1234)) % 0.40/0.84 (step @p1391 :rule bool-eq-true :args (@t173)) % 0.40/0.84 (step @p1392 :rule symm :premises (@p1391)) % 0.40/0.84 (step @p1393 :rule cong :premises (@p1392) :args (@t1234)) % 0.40/0.84 (step @p1394 :rule nary_cong :premises (@p1393 @p1390 @p1389) :args (@t1236)) % 0.40/0.84 (step @p1395 :rule aci_norm :args ((= @t1237 @t1236))) % 0.40/0.84 (step @p1396 :rule trans :premises (@p1395 @p1394)) % 0.40/0.84 (step @p1397 :rule cong :premises (@p1396) :args ((forall @t179 @t1237))) % 0.40/0.84 (step @p1398 :rule trans :premises (@p1397 @p1388)) % 0.40/0.84 (step @p1399 :rule trans :premises (@p1398 @p1387)) % 0.40/0.84 (step @p1400 :rule refl :args ((tptp.set2prop @t174))) % 0.40/0.84 (step @p1401 :rule refl :args (@t1232)) % 0.40/0.84 (step @p1402 :rule cong :premises (@p1401) :args (@t1233)) % 0.40/0.84 (step @p1403 :rule trans :premises (@p1402 @p1400)) % 0.40/0.84 (step @p1404 :rule refl :args (tptp.set2prop)) % 0.40/0.84 (step @p1405 :rule ho_cong :premises (@p1404 @p1401)) % 0.40/0.84 (step @p1406 :rule cong :premises (@p1405 @p1403) :args ((= (_ tptp.set2prop @t1232) @t1233))) % 0.40/0.84 (step @p1407 :rule symm :premises (@p1406)) % 0.40/0.84 (step @p1408 :rule refl :args (@t337)) % 0.40/0.84 (step @p1409 :rule eq_resolve :premises (@p1408 @p1407)) % 0.40/0.84 (step @p1410 :rule refl :args (@t174)) % 0.40/0.84 (step @p1411 :rule cong :premises (@p1410 @p1401) :args ((= @t174 @t1232))) % 0.40/0.84 (step @p1412 :rule symm :premises (@p1411)) % 0.40/0.84 (step @p1413 :rule eq_resolve :premises (@p1410 @p1412)) % 0.40/0.84 (step @p1414 :rule ho_cong :premises (@p1404 @p1413)) % 0.40/0.84 (step @p1415 :rule trans :premises (@p1414 @p1409)) % 0.40/0.84 (step @p1416 :rule nary_cong :premises (@p1390 @p1415) :args (@t1238)) % 0.40/0.84 (step @p1417 :rule cong :premises (@p1416) :args ((forall @t179 @t1238))) % 0.40/0.84 (step @p1418 :rule trans :premises (@p1417 @p1399)) % 0.40/0.84 (step @p1419 :rule bool-impl-elim :args (@t173 @t337)) % 0.40/0.84 (step @p1420 :rule cong :premises (@p1419) :args (@t338)) % 0.40/0.84 (step @p1421 :rule trans :premises (@p1420 @p1418)) % 0.40/0.84 (step @p1422 :rule refl :args (tptp.prop2set2propI)) % 0.40/0.84 (step @p1423 :rule cong :premises (@p1422 @p1421) :args (@t339)) % 0.40/0.84 (step @p1424 :rule eq_resolve :premises (@p58 @p1423)) % 0.40/0.84 (step @p1425 :rule cong :premises (@p1424 @p1384) :args (@t1239)) % 0.40/0.84 (step @p1426 :rule aci_norm :args ((= (or false @t599) @t599))) % 0.40/0.84 (step @p1427 :rule nary_cong :premises (@p404 @p250) :args (@t1240)) % 0.40/0.84 (step @p1428 :rule trans :premises (@p1427 @p1426)) % 0.40/0.84 (step @p1429 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1235 @t1234 @t1241)) @t1240))) % 0.40/0.84 (step @p1430 :rule refl :args (@t1241)) % 0.40/0.84 (step @p1431 :rule nary_cong :premises (@p1393 @p1390 @p1430) :args (@t1242)) % 0.40/0.84 (step @p1432 :rule aci_norm :args ((= @t1243 @t1242))) % 0.40/0.84 (step @p1433 :rule trans :premises (@p1432 @p1431)) % 0.40/0.84 (step @p1434 :rule cong :premises (@p1433) :args ((forall @t179 @t1243))) % 0.40/0.84 (step @p1435 :rule trans :premises (@p1434 @p1429)) % 0.40/0.84 (step @p1436 :rule trans :premises (@p1435 @p1428)) % 0.40/0.84 (step @p1437 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 0.40/0.84 (step @p1438 :rule cong :premises (@p140 @p1401) :args (@t1241)) % 0.40/0.84 (step @p1439 :rule trans :premises (@p1438 @p1437)) % 0.40/0.84 (step @p1440 :rule ho_cong :premises (@p143 @p1401)) % 0.40/0.84 (step @p1441 :rule cong :premises (@p1440 @p1439) :args ((= (_ @t49 @t1232) @t1241))) % 0.40/0.84 (step @p1442 :rule symm :premises (@p1441)) % 0.40/0.84 (step @p1443 :rule refl :args (@t334)) % 0.40/0.84 (step @p1444 :rule eq_resolve :premises (@p1443 @p1442)) % 0.40/0.84 (step @p1445 :rule ho_cong :premises (@p143 @p1413)) % 0.40/0.84 (step @p1446 :rule trans :premises (@p1445 @p1444)) % 0.40/0.84 (step @p1447 :rule nary_cong :premises (@p1390 @p1446) :args (@t1244)) % 0.40/0.84 (step @p1448 :rule cong :premises (@p1447) :args ((forall @t179 @t1244))) % 0.40/0.84 (step @p1449 :rule trans :premises (@p1448 @p1436)) % 0.40/0.84 (step @p1450 :rule bool-impl-elim :args (@t173 @t334)) % 0.40/0.84 (step @p1451 :rule cong :premises (@p1450) :args (@t335)) % 0.40/0.84 (step @p1452 :rule trans :premises (@p1451 @p1449)) % 0.40/0.84 (step @p1453 :rule refl :args (tptp.prop2setI)) % 0.40/0.84 (step @p1454 :rule cong :premises (@p1453 @p1452) :args (@t336)) % 0.40/0.84 (step @p1455 :rule eq_resolve :premises (@p57 @p1454)) % 0.40/0.84 (step @p1456 :rule cong :premises (@p1455 @p1425) :args (@t1245)) % 0.40/0.84 (step @p1457 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 0.40/0.84 (step @p1458 :rule symm :premises (@p1457)) % 0.40/0.84 (step @p1459 :rule cong :premises (@p1335 @p1339) :args (@t331)) % 0.40/0.84 (step @p1460 :rule cong :premises (@p1459) :args (@t332)) % 0.40/0.84 (step @p1461 :rule trans :premises (@p1460 @p1324)) % 0.40/0.84 (step @p1462 :rule refl :args (tptp.quantDeMorgan4)) % 0.40/0.84 (step @p1463 :rule cong :premises (@p1462 @p1461) :args (@t333)) % 0.40/0.84 (step @p1464 :rule trans :premises (@p1463 @p1457)) % 0.40/0.84 (step @p1465 :rule eq_resolve :premises (@p56 @p1464)) % 0.40/0.84 (step @p1466 :rule eq_resolve :premises (@p1465 @p1458)) % 0.40/0.84 (step @p1467 :rule cong :premises (@p1466 @p1456) :args (@t1246)) % 0.40/0.84 (step @p1468 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 0.40/0.84 (step @p1469 :rule symm :premises (@p1468)) % 0.40/0.84 (step @p1470 :rule refl :args (tptp.quantDeMorgan3)) % 0.40/0.84 (step @p1471 :rule cong :premises (@p1470 @p1377) :args (@t330)) % 0.40/0.84 (step @p1472 :rule trans :premises (@p1471 @p1468)) % 0.40/0.84 (step @p1473 :rule eq_resolve :premises (@p55 @p1472)) % 0.40/0.84 (step @p1474 :rule eq_resolve :premises (@p1473 @p1469)) % 0.40/0.84 (step @p1475 :rule cong :premises (@p1474 @p1467) :args (@t1247)) % 0.40/0.84 (step @p1476 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 0.40/0.84 (step @p1477 :rule symm :premises (@p1476)) % 0.40/0.84 (step @p1478 :rule cong :premises (@p1365 @p1374) :args (@t325)) % 0.40/0.84 (step @p1479 :rule cong :premises (@p1478) :args (@t326)) % 0.40/0.84 (step @p1480 :rule trans :premises (@p1479 @p1360)) % 0.40/0.84 (step @p1481 :rule refl :args (tptp.quantDeMorgan2)) % 0.40/0.84 (step @p1482 :rule cong :premises (@p1481 @p1480) :args (@t327)) % 0.40/0.84 (step @p1483 :rule trans :premises (@p1482 @p1476)) % 0.40/0.84 (step @p1484 :rule eq_resolve :premises (@p54 @p1483)) % 0.40/0.84 (step @p1485 :rule eq_resolve :premises (@p1484 @p1477)) % 0.40/0.84 (step @p1486 :rule cong :premises (@p1485 @p1475) :args (@t1248)) % 0.40/0.84 (step @p1487 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 0.40/0.84 (step @p1488 :rule symm :premises (@p1487)) % 0.40/0.84 (step @p1489 :rule refl :args (tptp.quantDeMorgan1)) % 0.40/0.84 (step @p1490 :rule cong :premises (@p1489 @p1342) :args (@t322)) % 0.40/0.84 (step @p1491 :rule trans :premises (@p1490 @p1487)) % 0.40/0.84 (step @p1492 :rule eq_resolve :premises (@p53 @p1491)) % 0.40/0.84 (step @p1493 :rule eq_resolve :premises (@p1492 @p1488)) % 0.40/0.84 (step @p1494 :rule cong :premises (@p1493 @p1486) :args (@t1249)) % 0.40/0.84 (step @p1495 :rule refl :args (@t601)) % 0.40/0.84 (step @p1496 :rule refl :args (@t15)) % 0.40/0.84 (step @p1497 :rule cong :premises (@p1496 @p1495) :args ((= @t15 @t601))) % 0.40/0.84 (step @p1498 :rule symm :premises (@p1497)) % 0.40/0.84 (step @p1499 :rule eq_resolve :premises (@p1496 @p1498)) % 0.40/0.84 (step @p1500 :rule cong :premises (@p1499) :args (@t16)) % 0.40/0.84 (step @p1501 :rule nary_cong :premises (@p1500 @p538) :args (@t1250)) % 0.40/0.84 (step @p1502 :rule cong :premises (@p1501) :args ((forall @t312 @t1250))) % 0.40/0.84 (step @p1503 :rule bool-impl-elim :args (@t15 @t144)) % 0.40/0.84 (step @p1504 :rule cong :premises (@p1503) :args (@t313)) % 0.40/0.84 (step @p1505 :rule trans :premises (@p1504 @p1502)) % 0.40/0.84 (step @p1506 :rule refl :args (tptp.vacuousDall)) % 0.40/0.84 (step @p1507 :rule cong :premises (@p1506 @p1505) :args (@t314)) % 0.40/0.84 (step @p1508 :rule eq_resolve :premises (@p52 @p1507)) % 0.40/0.84 (step @p1509 :rule cong :premises (@p1508 @p1494) :args (@t1251)) % 0.40/0.84 (step @p1510 :rule aci_norm :args ((= @t1253 @t610))) % 0.40/0.84 (step @p1511 :rule cong :premises (@p1510) :args (@t1254)) % 0.40/0.84 (step @p1512 :rule quant-merge-prenex :args ((= (forall @t309 @t1256) @t1254))) % 0.40/0.84 (step @p1513 :rule refl :args (@t609)) % 0.40/0.84 (step @p1514 :rule alpha_equiv :args (@t1257 (@list @t605) @t1001)) % 0.40/0.84 (step @p1515 :rule nary_cong :premises (@p1514 @p1513) :args (@t1258)) % 0.40/0.84 (step @p1516 :rule quant-miniscope-or :args ((= @t1256 @t1258))) % 0.40/0.84 (step @p1517 :rule trans :premises (@p1516 @p1515)) % 0.40/0.84 (step @p1518 :rule symm :premises (@p1517)) % 0.40/0.84 (step @p1519 :rule cong :premises (@p1518) :args ((forall @t309 (or @t1226 @t609)))) % 0.40/0.84 (step @p1520 :rule trans :premises (@p1519 @p1512)) % 0.40/0.84 (step @p1521 :rule trans :premises (@p1520 @p1511)) % 0.40/0.84 (step @p1522 :rule cong :premises (@p93 @p499) :args (@t1259)) % 0.40/0.84 (step @p1523 :rule cong :premises (@p1522) :args (@t1260)) % 0.40/0.84 (step @p1524 :rule refl :args (@t1226)) % 0.40/0.84 (step @p1525 :rule nary_cong :premises (@p1524 @p1523) :args (@t1261)) % 0.40/0.84 (step @p1526 :rule cong :premises (@p1525) :args ((forall @t309 @t1261))) % 0.40/0.84 (step @p1527 :rule trans :premises (@p1526 @p1521)) % 0.40/0.84 (step @p1528 :rule cong :premises (@p140 @p541) :args (@t1262)) % 0.40/0.84 (step @p1529 :rule cong :premises (@p1528) :args (@t1263)) % 0.40/0.84 (step @p1530 :rule refl :args (@t1226)) % 0.40/0.84 (step @p1531 :rule nary_cong :premises (@p1530 @p1529) :args (@t1264)) % 0.40/0.84 (step @p1532 :rule cong :premises (@p1531) :args ((forall @t309 @t1264))) % 0.40/0.84 (step @p1533 :rule trans :premises (@p1532 @p1527)) % 0.40/0.84 (step @p1534 :rule refl :args (@t1263)) % 0.40/0.84 (step @p1535 :rule bool-double-not-elim :args (@t1226)) % 0.40/0.84 (step @p1536 :rule nary_cong :premises (@p1535 @p1534) :args ((or (not @t1265) @t1263))) % 0.40/0.84 (step @p1537 :rule bool-impl-elim :args (@t1265 @t1263)) % 0.40/0.84 (step @p1538 :rule trans :premises (@p1537 @p1536)) % 0.40/0.84 (step @p1539 :rule cong :premises (@p1538) :args ((forall @t309 (=> @t1265 @t1263)))) % 0.40/0.84 (step @p1540 :rule trans :premises (@p1539 @p1533)) % 0.40/0.84 (step @p1541 :rule eq-symm :args (@t304 tptp.emptyset)) % 0.40/0.84 (step @p1542 :rule cong :premises (@p1541) :args ((not @t305))) % 0.40/0.84 (step @p1543 :rule bool-impl-false1 :args (@t305)) % 0.40/0.84 (step @p1544 :rule trans :premises (@p1543 @p1542)) % 0.40/0.84 (step @p1545 :rule cong :premises (@p1372 @p1544) :args (@t308)) % 0.40/0.84 (step @p1546 :rule cong :premises (@p1545) :args (@t310)) % 0.40/0.84 (step @p1547 :rule trans :premises (@p1546 @p1540)) % 0.40/0.84 (step @p1548 :rule refl :args (tptp.emptyE1)) % 0.40/0.84 (step @p1549 :rule cong :premises (@p1548 @p1547) :args (@t311)) % 0.40/0.84 (step @p1550 :rule eq_resolve :premises (@p51 @p1549)) % 0.40/0.84 (step @p1551 :rule cong :premises (@p1550 @p1509) :args (@t1266)) % 0.40/0.84 (step @p1552 :rule refl :args ((tptp.in @t19 @t291))) % 0.40/0.84 (step @p1553 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 0.40/0.84 (step @p1554 :rule refl :args (@t614)) % 0.40/0.84 (step @p1555 :rule refl :args (@t4)) % 0.40/0.84 (step @p1556 :rule cong :premises (@p1555 @p1554) :args (@t615)) % 0.40/0.84 (step @p1557 :rule trans :premises (@p1556 @p1553)) % 0.40/0.84 (step @p1558 :rule refl :args (@t19)) % 0.40/0.84 (step @p1559 :rule cong :premises (@p1558 @p1557) :args (@t616)) % 0.40/0.84 (step @p1560 :rule trans :premises (@p1559 @p1552)) % 0.40/0.84 (step @p1561 :rule refl :args (@t20)) % 0.40/0.84 (step @p1562 :rule ho_cong :premises (@p1561 @p1557)) % 0.40/0.84 (step @p1563 :rule cong :premises (@p1562 @p1560) :args ((= (_ @t20 @t615) @t616))) % 0.40/0.84 (step @p1564 :rule symm :premises (@p1563)) % 0.40/0.84 (step @p1565 :rule refl :args (@t301)) % 0.40/0.84 (step @p1566 :rule eq_resolve :premises (@p1565 @p1564)) % 0.40/0.84 (step @p1567 :rule refl :args (@t24)) % 0.40/0.84 (step @p1568 :rule ho_cong :premises (@p1567 @p1554)) % 0.40/0.84 (step @p1569 :rule cong :premises (@p1568 @p1557) :args ((= (_ @t24 @t614) @t615))) % 0.40/0.84 (step @p1570 :rule symm :premises (@p1569)) % 0.40/0.84 (step @p1571 :rule refl :args (@t291)) % 0.40/0.84 (step @p1572 :rule eq_resolve :premises (@p1571 @p1570)) % 0.40/0.84 (step @p1573 :rule refl :args (@t275)) % 0.40/0.84 (step @p1574 :rule cong :premises (@p1573 @p1554) :args ((= @t275 @t614))) % 0.40/0.84 (step @p1575 :rule symm :premises (@p1574)) % 0.40/0.84 (step @p1576 :rule eq_resolve :premises (@p1573 @p1575)) % 0.40/0.84 (step @p1577 :rule ho_cong :premises (@p1567 @p1576)) % 0.40/0.84 (step @p1578 :rule trans :premises (@p1577 @p1572)) % 0.40/0.84 (step @p1579 :rule ho_cong :premises (@p1561 @p1578)) % 0.40/0.84 (step @p1580 :rule trans :premises (@p1579 @p1566)) % 0.40/0.84 (step @p1581 :rule cong :premises (@p1580) :args (@t302)) % 0.40/0.84 (step @p1582 :rule refl :args (tptp.upairsetIR)) % 0.40/0.84 (step @p1583 :rule cong :premises (@p1582 @p1581) :args (@t303)) % 0.40/0.84 (step @p1584 :rule eq_resolve :premises (@p50 @p1583)) % 0.40/0.84 (step @p1585 :rule cong :premises (@p1584 @p1551) :args (@t1267)) % 0.40/0.84 (step @p1586 :rule refl :args ((tptp.in @t4 @t291))) % 0.40/0.84 (step @p1587 :rule cong :premises (@p1555 @p1557) :args (@t619)) % 0.40/0.84 (step @p1588 :rule trans :premises (@p1587 @p1586)) % 0.40/0.84 (step @p1589 :rule refl :args (@t5)) % 0.40/0.84 (step @p1590 :rule ho_cong :premises (@p1589 @p1557)) % 0.40/0.84 (step @p1591 :rule cong :premises (@p1590 @p1588) :args ((= (_ @t5 @t615) @t619))) % 0.40/0.84 (step @p1592 :rule symm :premises (@p1591)) % 0.40/0.84 (step @p1593 :rule refl :args (@t298)) % 0.40/0.84 (step @p1594 :rule eq_resolve :premises (@p1593 @p1592)) % 0.40/0.84 (step @p1595 :rule ho_cong :premises (@p1589 @p1578)) % 0.40/0.84 (step @p1596 :rule trans :premises (@p1595 @p1594)) % 0.40/0.84 (step @p1597 :rule cong :premises (@p1596) :args (@t299)) % 0.40/0.84 (step @p1598 :rule refl :args (tptp.upairsetIL)) % 0.40/0.84 (step @p1599 :rule cong :premises (@p1598 @p1597) :args (@t300)) % 0.40/0.84 (step @p1600 :rule eq_resolve :premises (@p49 @p1599)) % 0.40/0.84 (step @p1601 :rule cong :premises (@p1600 @p1585) :args (@t1268)) % 0.40/0.84 (step @p1602 :rule refl :args (@t622)) % 0.40/0.84 (step @p1603 :rule refl :args (@t623)) % 0.40/0.84 (step @p1604 :rule refl :args ((tptp.in @t289 @t291))) % 0.40/0.84 (step @p1605 :rule refl :args (@t289)) % 0.40/0.84 (step @p1606 :rule cong :premises (@p1605 @p1557) :args (@t624)) % 0.40/0.84 (step @p1607 :rule trans :premises (@p1606 @p1604)) % 0.40/0.84 (step @p1608 :rule refl :args (@t292)) % 0.40/0.84 (step @p1609 :rule ho_cong :premises (@p1608 @p1557)) % 0.40/0.84 (step @p1610 :rule cong :premises (@p1609 @p1607) :args ((= (_ @t292 @t615) @t624))) % 0.40/0.84 (step @p1611 :rule symm :premises (@p1610)) % 0.40/0.84 (step @p1612 :rule refl :args (@t293)) % 0.40/0.84 (step @p1613 :rule eq_resolve :premises (@p1612 @p1611)) % 0.40/0.84 (step @p1614 :rule ho_cong :premises (@p1608 @p1578)) % 0.40/0.84 (step @p1615 :rule trans :premises (@p1614 @p1613)) % 0.40/0.84 (step @p1616 :rule cong :premises (@p1615) :args (@t1269)) % 0.40/0.84 (step @p1617 :rule nary_cong :premises (@p1616 @p1603 @p1602) :args (@t1270)) % 0.40/0.84 (step @p1618 :rule cong :premises (@p1617) :args ((forall @t295 @t1270))) % 0.40/0.84 (step @p1619 :rule aci_norm :args ((= (or @t1269 @t1271) @t1270))) % 0.40/0.84 (step @p1620 :rule bool-impl-elim :args (@t293 @t1271)) % 0.40/0.84 (step @p1621 :rule trans :premises (@p1620 @p1619)) % 0.40/0.84 (step @p1622 :rule cong :premises (@p1621) :args ((forall @t295 (=> @t293 @t1271)))) % 0.40/0.84 (step @p1623 :rule trans :premises (@p1622 @p1618)) % 0.40/0.84 (step @p1624 :rule eq-symm :args (@t289 @t19)) % 0.40/0.84 (step @p1625 :rule eq-symm :args (@t289 @t4)) % 0.40/0.84 (step @p1626 :rule nary_cong :premises (@p1625 @p1624) :args (@t290)) % 0.40/0.84 (step @p1627 :rule refl :args (@t293)) % 0.40/0.84 (step @p1628 :rule cong :premises (@p1627 @p1626) :args (@t294)) % 0.40/0.84 (step @p1629 :rule cong :premises (@p1628) :args (@t296)) % 0.40/0.84 (step @p1630 :rule trans :premises (@p1629 @p1623)) % 0.40/0.84 (step @p1631 :rule refl :args (tptp.upairsetE)) % 0.40/0.84 (step @p1632 :rule cong :premises (@p1631 @p1630) :args (@t297)) % 0.40/0.84 (step @p1633 :rule eq_resolve :premises (@p48 @p1632)) % 0.40/0.84 (step @p1634 :rule cong :premises (@p1633 @p1601) :args (@t1272)) % 0.40/0.84 (step @p1635 :rule refl :args ((tptp.in @t19 @t279))) % 0.40/0.84 (step @p1636 :rule refl :args (@t627)) % 0.40/0.84 (step @p1637 :rule cong :premises (@p1558 @p1636) :args (@t628)) % 0.40/0.84 (step @p1638 :rule trans :premises (@p1637 @p1635)) % 0.40/0.84 (step @p1639 :rule ho_cong :premises (@p1561 @p1636)) % 0.40/0.84 (step @p1640 :rule cong :premises (@p1639 @p1638) :args ((= (_ @t20 @t627) @t628))) % 0.40/0.84 (step @p1641 :rule symm :premises (@p1640)) % 0.40/0.84 (step @p1642 :rule refl :args (@t280)) % 0.40/0.84 (step @p1643 :rule eq_resolve :premises (@p1642 @p1641)) % 0.40/0.84 (step @p1644 :rule refl :args (@t279)) % 0.40/0.84 (step @p1645 :rule cong :premises (@p1644 @p1636) :args ((= @t279 @t627))) % 0.40/0.84 (step @p1646 :rule symm :premises (@p1645)) % 0.40/0.84 (step @p1647 :rule eq_resolve :premises (@p1644 @p1646)) % 0.40/0.84 (step @p1648 :rule ho_cong :premises (@p1561 @p1647)) % 0.40/0.84 (step @p1649 :rule trans :premises (@p1648 @p1643)) % 0.40/0.84 (step @p1650 :rule refl :args ((tptp.in @t4 @t275))) % 0.40/0.84 (step @p1651 :rule cong :premises (@p1555 @p1554) :args (@t629)) % 0.40/0.84 (step @p1652 :rule trans :premises (@p1651 @p1650)) % 0.40/0.84 (step @p1653 :rule ho_cong :premises (@p1589 @p1554)) % 0.40/0.84 (step @p1654 :rule cong :premises (@p1653 @p1652) :args ((= (_ @t5 @t614) @t629))) % 0.40/0.84 (step @p1655 :rule symm :premises (@p1654)) % 0.40/0.84 (step @p1656 :rule refl :args (@t276)) % 0.40/0.84 (step @p1657 :rule eq_resolve :premises (@p1656 @p1655)) % 0.40/0.84 (step @p1658 :rule ho_cong :premises (@p1589 @p1576)) % 0.40/0.84 (step @p1659 :rule trans :premises (@p1658 @p1657)) % 0.40/0.84 (step @p1660 :rule cong :premises (@p1659) :args (@t1273)) % 0.40/0.84 (step @p1661 :rule nary_cong :premises (@p1660 @p1649) :args (@t1274)) % 0.40/0.84 (step @p1662 :rule cong :premises (@p1661) :args ((forall @t135 @t1274))) % 0.40/0.84 (step @p1663 :rule bool-impl-elim :args (@t276 @t280)) % 0.40/0.84 (step @p1664 :rule cong :premises (@p1663) :args (@t287)) % 0.40/0.84 (step @p1665 :rule trans :premises (@p1664 @p1662)) % 0.40/0.84 (step @p1666 :rule refl :args (tptp.singletonsswitch)) % 0.40/0.84 (step @p1667 :rule cong :premises (@p1666 @p1665) :args (@t288)) % 0.40/0.84 (step @p1668 :rule eq_resolve :premises (@p47 @p1667)) % 0.40/0.84 (step @p1669 :rule cong :premises (@p1668 @p1634) :args (@t1275)) % 0.40/0.84 (step @p1670 :rule aci_norm :args ((= (or false @t633) @t633))) % 0.40/0.84 (step @p1671 :rule refl :args (@t633)) % 0.40/0.84 (step @p1672 :rule nary_cong :premises (@p761 @p1671) :args (@t1276)) % 0.40/0.84 (step @p1673 :rule trans :premises (@p1672 @p1670)) % 0.40/0.84 (step @p1674 :rule cong :premises (@p1673) :args ((forall @t70 @t1276))) % 0.40/0.84 (step @p1675 :rule quant-var-elim-eq :args ((= (forall @t9 @t1277) @t1276))) % 0.40/0.84 (step @p1676 :rule aci_norm :args ((= @t1278 @t1277))) % 0.40/0.84 (step @p1677 :rule cong :premises (@p1676) :args (@t1279)) % 0.40/0.84 (step @p1678 :rule trans :premises (@p1677 @p1675)) % 0.40/0.84 (step @p1679 :rule cong :premises (@p1678) :args (@t1280)) % 0.40/0.84 (step @p1680 :rule quant-merge-prenex :args ((= @t1280 @t1281))) % 0.40/0.84 (step @p1681 :rule symm :premises (@p1680)) % 0.40/0.84 (step @p1682 :rule quant_var_reordering :args ((= (forall @t135 @t1278) @t1281))) % 0.40/0.84 (step @p1683 :rule trans :premises (@p1682 @p1681 @p1679)) % 0.40/0.84 (step @p1684 :rule trans :premises (@p1683 @p1674)) % 0.40/0.84 (step @p1685 :rule nary_cong :premises (@p570 @p1659) :args (@t1282)) % 0.40/0.84 (step @p1686 :rule cong :premises (@p1685) :args ((forall @t135 @t1282))) % 0.40/0.84 (step @p1687 :rule trans :premises (@p1686 @p1684)) % 0.40/0.84 (step @p1688 :rule bool-impl-elim :args (@t129 @t276)) % 0.40/0.84 (step @p1689 :rule cong :premises (@p1688) :args (@t285)) % 0.40/0.84 (step @p1690 :rule trans :premises (@p1689 @p1687)) % 0.40/0.84 (step @p1691 :rule refl :args (tptp.eqinunit)) % 0.40/0.84 (step @p1692 :rule cong :premises (@p1691 @p1690) :args (@t286)) % 0.40/0.84 (step @p1693 :rule eq_resolve :premises (@p46 @p1692)) % 0.40/0.84 (step @p1694 :rule cong :premises (@p1693 @p1669) :args (@t1283)) % 0.40/0.84 (step @p1695 :rule cong :premises (@p1649) :args (@t281)) % 0.40/0.84 (step @p1696 :rule nary_cong :premises (@p710 @p1695) :args (@t1284)) % 0.40/0.84 (step @p1697 :rule cong :premises (@p1696) :args ((forall @t135 @t1284))) % 0.40/0.84 (step @p1698 :rule refl :args (@t281)) % 0.40/0.84 (step @p1699 :rule bool-double-not-elim :args (@t129)) % 0.40/0.84 (step @p1700 :rule nary_cong :premises (@p1699 @p1698) :args ((or (not @t282) @t281))) % 0.40/0.84 (step @p1701 :rule bool-impl-elim :args (@t282 @t281)) % 0.40/0.84 (step @p1702 :rule trans :premises (@p1701 @p1700)) % 0.40/0.84 (step @p1703 :rule cong :premises (@p1702) :args (@t283)) % 0.40/0.84 (step @p1704 :rule trans :premises (@p1703 @p1697)) % 0.40/0.84 (step @p1705 :rule refl :args (tptp.notinsingleton)) % 0.40/0.84 (step @p1706 :rule cong :premises (@p1705 @p1704) :args (@t284)) % 0.40/0.84 (step @p1707 :rule eq_resolve :premises (@p45 @p1706)) % 0.40/0.84 (step @p1708 :rule cong :premises (@p1707 @p1694) :args (@t1285)) % 0.40/0.84 (step @p1709 :rule nary_cong :premises (@p1660 @p710) :args (@t1286)) % 0.40/0.84 (step @p1710 :rule cong :premises (@p1709) :args ((forall @t135 @t1286))) % 0.40/0.84 (step @p1711 :rule bool-impl-elim :args (@t276 @t129)) % 0.40/0.84 (step @p1712 :rule cong :premises (@p1711) :args (@t277)) % 0.40/0.84 (step @p1713 :rule trans :premises (@p1712 @p1710)) % 0.40/0.84 (step @p1714 :rule refl :args (tptp.uniqinunit)) % 0.40/0.84 (step @p1715 :rule cong :premises (@p1714 @p1713) :args (@t278)) % 0.40/0.84 (step @p1716 :rule eq_resolve :premises (@p44 @p1715)) % 0.40/0.84 (step @p1717 :rule cong :premises (@p1716 @p1708) :args (@t1287)) % 0.40/0.84 (step @p1718 :rule refl :args (@t641)) % 0.40/0.84 (step @p1719 :rule bool-double-not-elim :args (@t196)) % 0.40/0.84 (step @p1720 :rule nary_cong :premises (@p1719 @p1718) :args ((or (not @t1288) @t641))) % 0.40/0.84 (step @p1721 :rule bool-impl-elim :args (@t1288 @t641)) % 0.40/0.84 (step @p1722 :rule trans :premises (@p1721 @p1720)) % 0.40/0.84 (step @p1723 :rule cong :premises (@p1722) :args ((forall @t64 (=> @t1288 @t641)))) % 0.40/0.84 (step @p1724 :rule cong :premises (@p325) :args (@t198)) % 0.40/0.84 (step @p1725 :rule cong :premises (@p1724) :args (@t1289)) % 0.40/0.84 (step @p1726 :rule exists-elim :args ((= @t89 @t1289))) % 0.40/0.84 (step @p1727 :rule trans :premises (@p1726 @p1725)) % 0.40/0.84 (step @p1728 :rule aci_norm :args ((= @t269 @t7))) % 0.40/0.84 (step @p1729 :rule cong :premises (@p1728) :args (@t270)) % 0.40/0.84 (step @p1730 :rule trans :premises (@p1729 @p1727)) % 0.40/0.84 (step @p1731 :rule beta-reduce :args ((= @t1290 @t1288))) % 0.40/0.84 (step @p1732 :rule cong :premises (@p1731 @p1730) :args (@t1291)) % 0.40/0.84 (step @p1733 :rule cong :premises (@p1732) :args (@t1292)) % 0.40/0.84 (step @p1734 :rule trans :premises (@p1733 @p1723)) % 0.40/0.84 (step @p1735 :rule refl :args (tptp.nonemptyImpWitness)) % 0.40/0.84 (step @p1736 :rule cong :premises (@p1735 @p1734) :args ((= tptp.nonemptyImpWitness @t1292))) % 0.40/0.84 (step @p1737 :rule refl :args (@t270)) % 0.40/0.84 (step @p1738 :rule ho_cong :premises (@p86 @p498)) % 0.40/0.84 (step @p1739 :rule cong :premises (@p1738 @p1737) :args (@t271)) % 0.40/0.84 (step @p1740 :rule cong :premises (@p1739) :args (@t272)) % 0.40/0.84 (step @p1741 :rule cong :premises (@p1735 @p1740) :args (@t273)) % 0.40/0.84 (step @p1742 :rule trans :premises (@p1741 @p1736)) % 0.40/0.84 (step @p1743 :rule eq_resolve :premises (@p43 @p1742)) % 0.40/0.84 (step @p1744 :rule cong :premises (@p1743 @p1717) :args (@t1293)) % 0.40/0.84 (step @p1745 :rule eq-symm :args (@t644 @t19)) % 0.40/0.84 (step @p1746 :rule nary_cong :premises (@p626 @p1745) :args (@t1294)) % 0.40/0.84 (step @p1747 :rule cong :premises (@p1746) :args (@t1295)) % 0.40/0.84 (step @p1748 :rule cong :premises (@p1747) :args (@t1296)) % 0.40/0.84 (step @p1749 :rule refl :args (@t645)) % 0.40/0.84 (step @p1750 :rule refl :args (@t648)) % 0.40/0.84 (step @p1751 :rule nary_cong :premises (@p1750 @p1749 @p1748) :args (@t1297)) % 0.40/0.84 (step @p1752 :rule aci_norm :args ((= @t1299 @t1297))) % 0.40/0.84 (step @p1753 :rule trans :premises (@p1752 @p1751)) % 0.40/0.84 (step @p1754 :rule cong :premises (@p1753) :args (@t1300)) % 0.40/0.84 (step @p1755 :rule quant-merge-prenex :args ((= (forall @t150 @t1302) @t1300))) % 0.40/0.84 (step @p1756 :rule refl :args (@t648)) % 0.40/0.84 (step @p1757 :rule alpha_equiv :args (@t1303 (@list @t644) @t1001)) % 0.40/0.84 (step @p1758 :rule nary_cong :premises (@p1757 @p1756) :args (@t1304)) % 0.40/0.84 (step @p1759 :rule quant-miniscope-or :args ((= @t1302 @t1304))) % 0.40/0.84 (step @p1760 :rule trans :premises (@p1759 @p1758)) % 0.40/0.84 (step @p1761 :rule symm :premises (@p1760)) % 0.40/0.84 (step @p1762 :rule cong :premises (@p1761) :args ((forall @t150 (or @t582 @t648)))) % 0.40/0.84 (step @p1763 :rule trans :premises (@p1762 @p1755)) % 0.40/0.84 (step @p1764 :rule trans :premises (@p1763 @p1754)) % 0.40/0.84 (step @p1765 :rule nary_cong :premises (@p694 @p1756) :args ((or @t1011 @t648))) % 0.40/0.84 (step @p1766 :rule bool-impl-elim :args (@t583 @t648)) % 0.40/0.84 (step @p1767 :rule trans :premises (@p1766 @p1765)) % 0.40/0.84 (step @p1768 :rule cong :premises (@p1767) :args ((forall @t150 (=> @t583 @t648)))) % 0.40/0.84 (step @p1769 :rule trans :premises (@p1768 @p1764)) % 0.40/0.84 (step @p1770 :rule cong :premises (@p755 @p1232) :args (@t1305)) % 0.40/0.84 (step @p1771 :rule cong :premises (@p1770) :args (@t1306)) % 0.40/0.84 (step @p1772 :rule trans :premises (@p1771 @p1769)) % 0.40/0.84 (step @p1773 :rule refl :args (tptp.exuE2)) % 0.40/0.84 (step @p1774 :rule cong :premises (@p1773 @p1772) :args ((= tptp.exuE2 @t1306))) % 0.40/0.84 (step @p1775 :rule cong :premises (@p804 @p1238) :args (@t266)) % 0.40/0.84 (step @p1776 :rule cong :premises (@p1775) :args (@t267)) % 0.40/0.84 (step @p1777 :rule cong :premises (@p1773 @p1776) :args (@t268)) % 0.40/0.84 (step @p1778 :rule trans :premises (@p1777 @p1774)) % 0.40/0.84 (step @p1779 :rule eq_resolve :premises (@p42 @p1778)) % 0.40/0.84 (step @p1780 :rule cong :premises (@p1779 @p1744) :args (@t1307)) % 0.40/0.84 (step @p1781 :rule refl :args ((tptp.in @t4 @t259))) % 0.40/0.84 (step @p1782 :rule refl :args ((tptp.powerset @t43))) % 0.40/0.84 (step @p1783 :rule cong :premises (@p896) :args (@t653)) % 0.40/0.84 (step @p1784 :rule trans :premises (@p1783 @p1782)) % 0.40/0.84 (step @p1785 :rule cong :premises (@p1555 @p1784) :args (@t654)) % 0.40/0.84 (step @p1786 :rule trans :premises (@p1785 @p1781)) % 0.40/0.84 (step @p1787 :rule ho_cong :premises (@p1589 @p1784)) % 0.40/0.84 (step @p1788 :rule cong :premises (@p1787 @p1786) :args ((= (_ @t5 @t653) @t654))) % 0.40/0.84 (step @p1789 :rule symm :premises (@p1788)) % 0.40/0.84 (step @p1790 :rule refl :args (@t260)) % 0.40/0.84 (step @p1791 :rule eq_resolve :premises (@p1790 @p1789)) % 0.40/0.84 (step @p1792 :rule refl :args (tptp.powerset)) % 0.40/0.84 (step @p1793 :rule ho_cong :premises (@p1792 @p896)) % 0.40/0.84 (step @p1794 :rule cong :premises (@p1793 @p1784) :args ((= (_ tptp.powerset @t652) @t653))) % 0.40/0.84 (step @p1795 :rule symm :premises (@p1794)) % 0.40/0.84 (step @p1796 :rule refl :args (@t259)) % 0.40/0.84 (step @p1797 :rule eq_resolve :premises (@p1796 @p1795)) % 0.40/0.84 (step @p1798 :rule ho_cong :premises (@p1792 @p900)) % 0.40/0.84 (step @p1799 :rule trans :premises (@p1798 @p1797)) % 0.40/0.84 (step @p1800 :rule ho_cong :premises (@p1589 @p1799)) % 0.40/0.84 (step @p1801 :rule trans :premises (@p1800 @p1791)) % 0.40/0.84 (step @p1802 :rule nary_cong :premises (@p325 @p1801) :args (@t1308)) % 0.40/0.84 (step @p1803 :rule cong :premises (@p1802) :args ((forall @t46 @t1308))) % 0.40/0.84 (step @p1804 :rule bool-impl-elim :args (@t7 @t260)) % 0.40/0.84 (step @p1805 :rule cong :premises (@p1804) :args (@t261)) % 0.40/0.84 (step @p1806 :rule trans :premises (@p1805 @p1803)) % 0.40/0.84 (step @p1807 :rule refl :args (tptp.subPowSU)) % 0.40/0.84 (step @p1808 :rule cong :premises (@p1807 @p1806) :args (@t262)) % 0.40/0.84 (step @p1809 :rule eq_resolve :premises (@p41 @p1808)) % 0.40/0.84 (step @p1810 :rule cong :premises (@p1809 @p1780) :args (@t1309)) % 0.40/0.84 (step @p1811 :rule refl :args (@t660)) % 0.40/0.84 (step @p1812 :rule refl :args ((tptp.in @t4 @t43))) % 0.40/0.84 (step @p1813 :rule cong :premises (@p1555 @p896) :args (@t661)) % 0.40/0.84 (step @p1814 :rule trans :premises (@p1813 @p1812)) % 0.40/0.84 (step @p1815 :rule ho_cong :premises (@p1589 @p896)) % 0.40/0.84 (step @p1816 :rule cong :premises (@p1815 @p1814) :args ((= (_ @t5 @t652) @t661))) % 0.40/0.84 (step @p1817 :rule symm :premises (@p1816)) % 0.40/0.84 (step @p1818 :rule refl :args (@t44)) % 0.40/0.84 (step @p1819 :rule eq_resolve :premises (@p1818 @p1817)) % 0.40/0.84 (step @p1820 :rule ho_cong :premises (@p1589 @p900)) % 0.40/0.84 (step @p1821 :rule trans :premises (@p1820 @p1819)) % 0.40/0.84 (step @p1822 :rule cong :premises (@p1821) :args (@t1310)) % 0.40/0.84 (step @p1823 :rule nary_cong :premises (@p1822 @p1811) :args (@t1311)) % 0.40/0.84 (step @p1824 :rule cong :premises (@p1823) :args ((forall @t46 @t1311))) % 0.40/0.84 (step @p1825 :rule bool-impl-elim :args (@t44 @t660)) % 0.40/0.84 (step @p1826 :rule cong :premises (@p1825) :args ((forall @t46 (=> @t44 @t660)))) % 0.40/0.84 (step @p1827 :rule trans :premises (@p1826 @p1824)) % 0.40/0.84 (step @p1828 :rule aci_norm :args ((= (and true @t660) @t660))) % 0.40/0.84 (step @p1829 :rule refl :args (@t660)) % 0.40/0.84 (step @p1830 :rule evaluate :args (@t1312)) % 0.40/0.84 (step @p1831 :rule nary_cong :premises (@p1830 @p1829) :args (@t1313)) % 0.40/0.84 (step @p1832 :rule trans :premises (@p1831 @p1828)) % 0.40/0.84 (step @p1833 :rule aci_norm :args ((= @t1314 @t1313))) % 0.40/0.84 (step @p1834 :rule trans :premises (@p1833 @p1832)) % 0.40/0.84 (step @p1835 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1316 @t1315 @t173)) @t1314))) % 0.40/0.84 (step @p1836 :rule refl :args (@t173)) % 0.40/0.84 (step @p1837 :rule refl :args (@t1315)) % 0.40/0.84 (step @p1838 :rule bool-eq-false :args (@t173)) % 0.40/0.84 (step @p1839 :rule symm :premises (@p1838)) % 0.40/0.84 (step @p1840 :rule cong :premises (@p1839) :args ((not @t1234))) % 0.40/0.84 (step @p1841 :rule bool-double-not-elim :args (@t173)) % 0.40/0.84 (step @p1842 :rule symm :premises (@p1841)) % 0.40/0.84 (step @p1843 :rule trans :premises (@p1842 @p1840)) % 0.40/0.84 (step @p1844 :rule nary_cong :premises (@p1843 @p1837 @p1836) :args (@t1317)) % 0.40/0.84 (step @p1845 :rule aci_norm :args ((= @t1318 @t1317))) % 0.40/0.84 (step @p1846 :rule trans :premises (@p1845 @p1844)) % 0.40/0.84 (step @p1847 :rule cong :premises (@p1846) :args ((forall @t179 @t1318))) % 0.40/0.84 (step @p1848 :rule trans :premises (@p1847 @p1835)) % 0.40/0.84 (step @p1849 :rule trans :premises (@p1848 @p1834)) % 0.40/0.84 (step @p1850 :rule bool-or-de-morgan :args (@t173 @t659 false)) % 0.40/0.84 (step @p1851 :rule nary_cong :premises (@p1850 @p1836) :args ((or (not @t1319) @t173))) % 0.40/0.84 (step @p1852 :rule bool-impl-elim :args (@t1319 @t173)) % 0.40/0.84 (step @p1853 :rule trans :premises (@p1852 @p1851)) % 0.40/0.84 (step @p1854 :rule cong :premises (@p1853) :args ((forall @t179 (=> @t1319 @t173)))) % 0.40/0.84 (step @p1855 :rule trans :premises (@p1854 @p1849)) % 0.40/0.84 (step @p1856 :rule refl :args (@t173)) % 0.40/0.84 (step @p1857 :rule refl :args (@t657)) % 0.40/0.84 (step @p1858 :rule refl :args (@t39)) % 0.40/0.84 (step @p1859 :rule cong :premises (@p1858 @p1857) :args ((= @t39 @t657))) % 0.40/0.84 (step @p1860 :rule symm :premises (@p1859)) % 0.40/0.84 (step @p1861 :rule eq_resolve :premises (@p1858 @p1860)) % 0.40/0.84 (step @p1862 :rule cong :premises (@p1861) :args (@t1320)) % 0.40/0.84 (step @p1863 :rule cong :premises (@p330) :args (@t432)) % 0.40/0.84 (step @p1864 :rule nary_cong :premises (@p1863 @p1862) :args (@t1321)) % 0.40/0.84 (step @p1865 :rule cong :premises (@p1864) :args (@t1322)) % 0.40/0.84 (step @p1866 :rule nary_cong :premises (@p1856 @p1865) :args (@t1323)) % 0.40/0.84 (step @p1867 :rule quant-miniscope-or :args ((= (forall @t41 @t1324) @t1323))) % 0.40/0.84 (step @p1868 :rule aci_norm :args ((= @t1325 @t1324))) % 0.40/0.84 (step @p1869 :rule cong :premises (@p1868) :args ((forall @t41 @t1325))) % 0.40/0.84 (step @p1870 :rule trans :premises (@p1869 @p1867)) % 0.40/0.84 (step @p1871 :rule trans :premises (@p1870 @p1866)) % 0.40/0.84 (step @p1872 :rule aci_norm :args ((= (or @t432 (or @t1320 @t173)) @t1325))) % 0.40/0.84 (step @p1873 :rule bool-impl-elim :args (@t39 @t173)) % 0.40/0.84 (step @p1874 :rule refl :args (@t432)) % 0.40/0.84 (step @p1875 :rule nary_cong :premises (@p1874 @p1873) :args ((or @t432 @t252))) % 0.40/0.84 (step @p1876 :rule trans :premises (@p1875 @p1872)) % 0.40/0.84 (step @p1877 :rule bool-impl-elim :args (@t6 @t252)) % 0.40/0.84 (step @p1878 :rule trans :premises (@p1877 @p1876)) % 0.40/0.84 (step @p1879 :rule cong :premises (@p1878) :args (@t253)) % 0.40/0.84 (step @p1880 :rule trans :premises (@p1879 @p1871)) % 0.40/0.84 (step @p1881 :rule cong :premises (@p1880 @p1856) :args (@t254)) % 0.40/0.84 (step @p1882 :rule cong :premises (@p1881) :args (@t255)) % 0.40/0.84 (step @p1883 :rule trans :premises (@p1882 @p1855)) % 0.40/0.84 (step @p1884 :rule refl :args (@t44)) % 0.40/0.84 (step @p1885 :rule cong :premises (@p1884 @p1883) :args (@t256)) % 0.40/0.84 (step @p1886 :rule cong :premises (@p1885) :args (@t257)) % 0.40/0.84 (step @p1887 :rule trans :premises (@p1886 @p1827)) % 0.40/0.84 (step @p1888 :rule refl :args (tptp.setunionE)) % 0.40/0.84 (step @p1889 :rule cong :premises (@p1888 @p1887) :args (@t258)) % 0.40/0.84 (step @p1890 :rule eq_resolve :premises (@p40 @p1889)) % 0.40/0.84 (step @p1891 :rule cong :premises (@p1890 @p1810) :args (@t1326)) % 0.40/0.84 (step @p1892 :rule nary_cong :premises (@p1863 @p1862 @p1821) :args (@t1327)) % 0.40/0.84 (step @p1893 :rule cong :premises (@p1892) :args ((forall @t249 @t1327))) % 0.40/0.84 (step @p1894 :rule aci_norm :args ((= (or @t432 (or @t1320 @t44)) @t1327))) % 0.40/0.84 (step @p1895 :rule bool-impl-elim :args (@t39 @t44)) % 0.40/0.84 (step @p1896 :rule nary_cong :premises (@p1874 @p1895) :args ((or @t432 @t248))) % 0.40/0.84 (step @p1897 :rule trans :premises (@p1896 @p1894)) % 0.40/0.84 (step @p1898 :rule bool-impl-elim :args (@t6 @t248)) % 0.40/0.84 (step @p1899 :rule trans :premises (@p1898 @p1897)) % 0.40/0.84 (step @p1900 :rule cong :premises (@p1899) :args (@t250)) % 0.40/0.84 (step @p1901 :rule trans :premises (@p1900 @p1893)) % 0.40/0.84 (step @p1902 :rule refl :args (tptp.setunionI)) % 0.40/0.84 (step @p1903 :rule cong :premises (@p1902 @p1901) :args (@t251)) % 0.40/0.84 (step @p1904 :rule eq_resolve :premises (@p39 @p1903)) % 0.40/0.84 (step @p1905 :rule cong :premises (@p1904 @p1891) :args (@t1328)) % 0.40/0.84 (step @p1906 :rule refl :args ((tptp.in @t1 @t33))) % 0.40/0.84 (step @p1907 :rule cong :premises (@p507 @p936) :args (@t667)) % 0.40/0.84 (step @p1908 :rule trans :premises (@p1907 @p1906)) % 0.40/0.84 (step @p1909 :rule refl :args (@t34)) % 0.40/0.84 (step @p1910 :rule ho_cong :premises (@p1909 @p936)) % 0.40/0.84 (step @p1911 :rule cong :premises (@p1910 @p1908) :args ((= (_ @t34 @t666) @t667))) % 0.40/0.84 (step @p1912 :rule symm :premises (@p1911)) % 0.40/0.84 (step @p1913 :rule refl :args (@t35)) % 0.40/0.84 (step @p1914 :rule eq_resolve :premises (@p1913 @p1912)) % 0.40/0.84 (step @p1915 :rule ho_cong :premises (@p1909 @p940)) % 0.40/0.84 (step @p1916 :rule trans :premises (@p1915 @p1914)) % 0.40/0.84 (step @p1917 :rule cong :premises (@p1916) :args (@t1329)) % 0.40/0.84 (step @p1918 :rule nary_cong :premises (@p1917 @p1863 @p324) :args (@t1330)) % 0.40/0.84 (step @p1919 :rule cong :premises (@p1918) :args ((forall @t245 @t1330))) % 0.40/0.84 (step @p1920 :rule aci_norm :args ((= (or @t1329 @t1331) @t1330))) % 0.40/0.84 (step @p1921 :rule bool-impl-elim :args (@t6 @t7)) % 0.40/0.84 (step @p1922 :rule refl :args (@t1329)) % 0.40/0.84 (step @p1923 :rule nary_cong :premises (@p1922 @p1921) :args ((or @t1329 @t31))) % 0.40/0.84 (step @p1924 :rule trans :premises (@p1923 @p1920)) % 0.40/0.84 (step @p1925 :rule bool-impl-elim :args (@t35 @t31)) % 0.40/0.84 (step @p1926 :rule trans :premises (@p1925 @p1924)) % 0.40/0.84 (step @p1927 :rule cong :premises (@p1926) :args (@t246)) % 0.40/0.84 (step @p1928 :rule trans :premises (@p1927 @p1919)) % 0.40/0.84 (step @p1929 :rule refl :args (tptp.powersetE)) % 0.40/0.84 (step @p1930 :rule cong :premises (@p1929 @p1928) :args (@t247)) % 0.40/0.84 (step @p1931 :rule eq_resolve :premises (@p38 @p1930)) % 0.40/0.84 (step @p1932 :rule cong :premises (@p1931 @p1905) :args (@t1332)) % 0.40/0.84 (step @p1933 :rule eq-symm :args (@t671 tptp.emptyInPowerset)) % 0.40/0.84 (step @p1934 :rule refl :args (tptp.emptyInPowerset)) % 0.40/0.84 (step @p1935 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 0.40/0.84 (step @p1936 :rule cong :premises (@p140 @p936) :args (@t670)) % 0.40/0.84 (step @p1937 :rule trans :premises (@p1936 @p1935)) % 0.40/0.84 (step @p1938 :rule ho_cong :premises (@p143 @p936)) % 0.40/0.84 (step @p1939 :rule cong :premises (@p1938 @p1937) :args ((= (_ @t49 @t666) @t670))) % 0.40/0.84 (step @p1940 :rule symm :premises (@p1939)) % 0.40/0.84 (step @p1941 :rule refl :args (@t242)) % 0.40/0.84 (step @p1942 :rule eq_resolve :premises (@p1941 @p1940)) % 0.40/0.84 (step @p1943 :rule ho_cong :premises (@p143 @p940)) % 0.40/0.84 (step @p1944 :rule trans :premises (@p1943 @p1942)) % 0.40/0.84 (step @p1945 :rule cong :premises (@p1944) :args (@t243)) % 0.40/0.84 (step @p1946 :rule cong :premises (@p1945 @p1934) :args ((= @t243 tptp.emptyInPowerset))) % 0.40/0.84 (step @p1947 :rule trans :premises (@p1946 @p1933)) % 0.40/0.84 (step @p1948 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 0.40/0.84 (step @p1949 :rule trans :premises (@p1948 @p1947)) % 0.40/0.84 (step @p1950 :rule eq_resolve :premises (@p37 @p1949)) % 0.40/0.84 (step @p1951 :rule cong :premises (@p1950 @p1932) :args (@t1333)) % 0.40/0.84 (step @p1952 :rule refl :args (tptp.emptyinPowerset)) % 0.40/0.84 (step @p1953 :rule cong :premises (@p1952 @p1945) :args (@t244)) % 0.40/0.84 (step @p1954 :rule eq_resolve :premises (@p36 @p1953)) % 0.40/0.84 (step @p1955 :rule cong :premises (@p1954 @p1951) :args (@t1334)) % 0.40/0.84 (step @p1956 :rule refl :args (@t675)) % 0.40/0.84 (step @p1957 :rule nary_cong :premises (@p1956 @p1916) :args (@t1335)) % 0.40/0.84 (step @p1958 :rule cong :premises (@p1957) :args ((forall @t12 @t1335))) % 0.40/0.84 (step @p1959 :rule bool-impl-elim :args (@t674 @t35)) % 0.40/0.84 (step @p1960 :rule cong :premises (@p1959) :args ((forall @t12 (=> @t674 @t35)))) % 0.40/0.84 (step @p1961 :rule trans :premises (@p1960 @p1958)) % 0.40/0.84 (step @p1962 :rule refl :args (@t35)) % 0.40/0.84 (step @p1963 :rule nary_cong :premises (@p1863 @p324) :args (@t1331)) % 0.40/0.84 (step @p1964 :rule cong :premises (@p1963) :args ((forall @t9 @t1331))) % 0.40/0.84 (step @p1965 :rule cong :premises (@p1921) :args (@t32)) % 0.40/0.84 (step @p1966 :rule trans :premises (@p1965 @p1964)) % 0.40/0.84 (step @p1967 :rule cong :premises (@p1966 @p1962) :args (@t239)) % 0.40/0.84 (step @p1968 :rule cong :premises (@p1967) :args (@t240)) % 0.40/0.84 (step @p1969 :rule trans :premises (@p1968 @p1961)) % 0.40/0.84 (step @p1970 :rule refl :args (tptp.powersetI)) % 0.40/0.84 (step @p1971 :rule cong :premises (@p1970 @p1969) :args (@t241)) % 0.40/0.84 (step @p1972 :rule eq_resolve :premises (@p35 @p1971)) % 0.40/0.84 (step @p1973 :rule cong :premises (@p1972 @p1955) :args (@t1336)) % 0.40/0.84 (step @p1974 :rule refl :args (@t680)) % 0.40/0.84 (step @p1975 :rule refl :args (@t679)) % 0.40/0.84 (step @p1976 :rule cong :premises (@p526 @p1975) :args (@t680)) % 0.40/0.84 (step @p1977 :rule trans :premises (@p1976 @p1974)) % 0.40/0.84 (step @p1978 :rule ho_cong :premises (@p529 @p1975)) % 0.40/0.84 (step @p1979 :rule cong :premises (@p1978 @p1977) :args ((= @t1337 @t680))) % 0.40/0.84 (step @p1980 :rule symm :premises (@p1979)) % 0.40/0.84 (step @p1981 :rule refl :args ((_ @t155 @t679))) % 0.40/0.84 (step @p1982 :rule eq_resolve :premises (@p1981 @p1980)) % 0.40/0.84 (step @p1983 :rule cong :premises (@p526 @p1982) :args (@t1338)) % 0.40/0.84 (step @p1984 :rule cong :premises (@p1983) :args ((forall @t64 @t1338))) % 0.40/0.84 (step @p1985 :rule eq-symm :args (@t1337 @t2)) % 0.40/0.84 (step @p1986 :rule symm :premises (@p1975)) % 0.40/0.84 (step @p1987 :rule alpha_equiv :args (@t235 @t1001 (@list @t678))) % 0.40/0.84 (step @p1988 :rule trans :premises (@p1987 @p1986)) % 0.40/0.84 (step @p1989 :rule refl :args (@t155)) % 0.40/0.84 (step @p1990 :rule ho_cong :premises (@p1989 @p1988)) % 0.40/0.84 (step @p1991 :rule cong :premises (@p1990 @p498) :args (@t236)) % 0.40/0.84 (step @p1992 :rule trans :premises (@p1991 @p1985)) % 0.40/0.84 (step @p1993 :rule cong :premises (@p1992) :args (@t237)) % 0.40/0.84 (step @p1994 :rule trans :premises (@p1993 @p1984)) % 0.40/0.84 (step @p1995 :rule refl :args (tptp.setoftrueEq)) % 0.40/0.84 (step @p1996 :rule cong :premises (@p1995 @p1994) :args (@t238)) % 0.40/0.84 (step @p1997 :rule eq_resolve :premises (@p34 @p1996)) % 0.40/0.84 (step @p1998 :rule cong :premises (@p1997 @p1973) :args (@t1339)) % 0.40/0.84 (step @p1999 :rule refl :args (@t683)) % 0.40/0.84 (step @p2000 :rule refl :args (@t21)) % 0.40/0.84 (step @p2001 :rule cong :premises (@p2000 @p1999) :args ((= @t21 @t683))) % 0.40/0.84 (step @p2002 :rule symm :premises (@p2001)) % 0.40/0.84 (step @p2003 :rule eq_resolve :premises (@p2000 @p2002)) % 0.40/0.84 (step @p2004 :rule refl :args ((tptp.in @t19 @t25))) % 0.40/0.84 (step @p2005 :rule refl :args (@t684)) % 0.40/0.84 (step @p2006 :rule cong :premises (@p1558 @p2005) :args (@t685)) % 0.40/0.84 (step @p2007 :rule trans :premises (@p2006 @p2004)) % 0.40/0.84 (step @p2008 :rule ho_cong :premises (@p1561 @p2005)) % 0.40/0.84 (step @p2009 :rule cong :premises (@p2008 @p2007) :args ((= (_ @t20 @t684) @t685))) % 0.40/0.84 (step @p2010 :rule symm :premises (@p2009)) % 0.40/0.84 (step @p2011 :rule refl :args (@t26)) % 0.40/0.84 (step @p2012 :rule eq_resolve :premises (@p2011 @p2010)) % 0.40/0.84 (step @p2013 :rule refl :args (@t25)) % 0.40/0.84 (step @p2014 :rule cong :premises (@p2013 @p2005) :args ((= @t25 @t684))) % 0.40/0.84 (step @p2015 :rule symm :premises (@p2014)) % 0.40/0.84 (step @p2016 :rule eq_resolve :premises (@p2013 @p2015)) % 0.40/0.84 (step @p2017 :rule ho_cong :premises (@p1561 @p2016)) % 0.40/0.84 (step @p2018 :rule trans :premises (@p2017 @p2012)) % 0.40/0.84 (step @p2019 :rule cong :premises (@p2018) :args (@t1340)) % 0.40/0.84 (step @p2020 :rule nary_cong :premises (@p2019 @p710 @p2003) :args (@t1341)) % 0.40/0.84 (step @p2021 :rule cong :premises (@p2020) :args ((forall @t28 @t1341))) % 0.40/0.84 (step @p2022 :rule aci_norm :args ((= (or @t1340 @t1342) @t1341))) % 0.40/0.84 (step @p2023 :rule bool-impl-elim :args (@t26 @t1342)) % 0.40/0.84 (step @p2024 :rule trans :premises (@p2023 @p2022)) % 0.40/0.84 (step @p2025 :rule cong :premises (@p2024) :args ((forall @t28 (=> @t26 @t1342)))) % 0.40/0.84 (step @p2026 :rule trans :premises (@p2025 @p2021)) % 0.40/0.84 (step @p2027 :rule refl :args (@t21)) % 0.40/0.84 (step @p2028 :rule nary_cong :premises (@p1226 @p2027) :args (@t23)) % 0.40/0.84 (step @p2029 :rule refl :args (@t26)) % 0.40/0.84 (step @p2030 :rule cong :premises (@p2029 @p2028) :args (@t232)) % 0.40/0.84 (step @p2031 :rule cong :premises (@p2030) :args (@t233)) % 0.40/0.84 (step @p2032 :rule trans :premises (@p2031 @p2026)) % 0.40/0.84 (step @p2033 :rule refl :args (tptp.setadjoinOr)) % 0.40/0.84 (step @p2034 :rule cong :premises (@p2033 @p2032) :args (@t234)) % 0.40/0.84 (step @p2035 :rule eq_resolve :premises (@p33 @p2034)) % 0.40/0.84 (step @p2036 :rule cong :premises (@p2035 @p1998) :args (@t1343)) % 0.40/0.84 (step @p2037 :rule refl :args (@t683)) % 0.40/0.84 (step @p2038 :rule nary_cong :premises (@p2019 @p710 @p2037) :args (@t1344)) % 0.40/0.84 (step @p2039 :rule cong :premises (@p2038) :args ((forall @t28 @t1344))) % 0.40/0.84 (step @p2040 :rule aci_norm :args ((= (or @t1340 @t841) @t1344))) % 0.40/0.84 (step @p2041 :rule bool-impl-elim :args (@t26 @t841)) % 0.40/0.84 (step @p2042 :rule trans :premises (@p2041 @p2040)) % 0.40/0.84 (step @p2043 :rule cong :premises (@p2042) :args ((forall @t28 (=> @t26 @t841)))) % 0.40/0.84 (step @p2044 :rule trans :premises (@p2043 @p2039)) % 0.40/0.84 (step @p2045 :rule aci_norm :args ((= (and @t683 true) @t683))) % 0.40/0.84 (step @p2046 :rule refl :args (@t683)) % 0.40/0.84 (step @p2047 :rule nary_cong :premises (@p2046 @p1830) :args (@t1345)) % 0.40/0.84 (step @p2048 :rule trans :premises (@p2047 @p2045)) % 0.40/0.84 (step @p2049 :rule aci_norm :args ((= (and @t129 true) @t129))) % 0.40/0.84 (step @p2050 :rule nary_cong :premises (@p714 @p1830) :args (@t1346)) % 0.40/0.84 (step @p2051 :rule trans :premises (@p2050 @p2049)) % 0.40/0.84 (step @p2052 :rule nary_cong :premises (@p2051 @p2048) :args (@t1347)) % 0.40/0.84 (step @p2053 :rule aci_norm :args ((= @t1348 @t1347))) % 0.40/0.84 (step @p2054 :rule trans :premises (@p2053 @p2052)) % 0.40/0.84 (step @p2055 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1316 @t1350 @t1349 @t173)) @t1348))) % 0.40/0.84 (step @p2056 :rule refl :args (@t1349)) % 0.40/0.84 (step @p2057 :rule refl :args (@t1350)) % 0.40/0.84 (step @p2058 :rule nary_cong :premises (@p1843 @p2057 @p2056 @p1836) :args (@t1351)) % 0.40/0.84 (step @p2059 :rule aci_norm :args ((= @t1352 @t1351))) % 0.40/0.84 (step @p2060 :rule trans :premises (@p2059 @p2058)) % 0.40/0.84 (step @p2061 :rule cong :premises (@p2060) :args ((forall @t179 @t1352))) % 0.40/0.84 (step @p2062 :rule trans :premises (@p2061 @p2055)) % 0.40/0.84 (step @p2063 :rule trans :premises (@p2062 @p2054)) % 0.40/0.84 (step @p2064 :rule nary_cong :premises (@p2003 @p1390) :args (@t1353)) % 0.40/0.84 (step @p2065 :rule nary_cong :premises (@p2057 @p2064 @p1836) :args (@t1354)) % 0.40/0.84 (step @p2066 :rule cong :premises (@p2065) :args ((forall @t179 @t1354))) % 0.40/0.84 (step @p2067 :rule trans :premises (@p2066 @p2063)) % 0.40/0.84 (step @p2068 :rule aci_norm :args ((= (or @t1350 (or @t1353 @t173)) @t1354))) % 0.40/0.84 (step @p2069 :rule bool-implies-de-morgan :args (@t21 @t173)) % 0.40/0.84 (step @p2070 :rule nary_cong :premises (@p2069 @p1836) :args ((or (not @t224) @t173))) % 0.40/0.84 (step @p2071 :rule bool-impl-elim :args (@t224 @t173)) % 0.40/0.84 (step @p2072 :rule trans :premises (@p2071 @p2070)) % 0.40/0.84 (step @p2073 :rule bool-implies-de-morgan :args (@t129 @t173)) % 0.40/0.84 (step @p2074 :rule nary_cong :premises (@p2073 @p2072) :args ((or (not @t1355) @t225))) % 0.40/0.84 (step @p2075 :rule trans :premises (@p2074 @p2068)) % 0.40/0.84 (step @p2076 :rule bool-impl-elim :args (@t1355 @t225)) % 0.40/0.84 (step @p2077 :rule trans :premises (@p2076 @p2075)) % 0.40/0.84 (step @p2078 :rule cong :premises (@p2077) :args ((forall @t179 (=> @t1355 @t225)))) % 0.40/0.84 (step @p2079 :rule trans :premises (@p2078 @p2067)) % 0.40/0.84 (step @p2080 :rule refl :args (@t225)) % 0.40/0.84 (step @p2081 :rule cong :premises (@p1226 @p1856) :args (@t226)) % 0.40/0.84 (step @p2082 :rule cong :premises (@p2081 @p2080) :args (@t227)) % 0.40/0.84 (step @p2083 :rule cong :premises (@p2082) :args (@t228)) % 0.40/0.84 (step @p2084 :rule trans :premises (@p2083 @p2079)) % 0.40/0.84 (step @p2085 :rule cong :premises (@p2029 @p2084) :args (@t229)) % 0.40/0.84 (step @p2086 :rule cong :premises (@p2085) :args (@t230)) % 0.40/0.84 (step @p2087 :rule trans :premises (@p2086 @p2044)) % 0.40/0.84 (step @p2088 :rule refl :args (tptp.setadjoinE)) % 0.40/0.84 (step @p2089 :rule cong :premises (@p2088 @p2087) :args (@t231)) % 0.40/0.84 (step @p2090 :rule eq_resolve :premises (@p32 @p2089)) % 0.40/0.84 (step @p2091 :rule cong :premises (@p2090 @p2036) :args (@t1356)) % 0.40/0.84 (step @p2092 :rule cong :premises (@p2003) :args (@t1357)) % 0.40/0.84 (step @p2093 :rule nary_cong :premises (@p2092 @p2018) :args (@t1358)) % 0.40/0.84 (step @p2094 :rule cong :premises (@p2093) :args ((forall @t28 @t1358))) % 0.40/0.84 (step @p2095 :rule bool-impl-elim :args (@t21 @t26)) % 0.40/0.84 (step @p2096 :rule cong :premises (@p2095) :args (@t222)) % 0.40/0.84 (step @p2097 :rule trans :premises (@p2096 @p2094)) % 0.40/0.84 (step @p2098 :rule refl :args (tptp.setadjoinIR)) % 0.40/0.84 (step @p2099 :rule cong :premises (@p2098 @p2097) :args (@t223)) % 0.40/0.84 (step @p2100 :rule eq_resolve :premises (@p31 @p2099)) % 0.40/0.84 (step @p2101 :rule cong :premises (@p2100 @p2091) :args (@t1359)) % 0.40/0.84 (step @p2102 :rule cong :premises (@p30 @p2101) :args (@t1360)) % 0.40/0.84 (step @p2103 :rule refl :args ((tptp.in @t4 @t216))) % 0.40/0.84 (step @p2104 :rule refl :args (@t695)) % 0.40/0.84 (step @p2105 :rule cong :premises (@p1555 @p2104) :args (@t696)) % 0.40/0.84 (step @p2106 :rule trans :premises (@p2105 @p2103)) % 0.40/0.84 (step @p2107 :rule ho_cong :premises (@p1589 @p2104)) % 0.40/0.84 (step @p2108 :rule cong :premises (@p2107 @p2106) :args ((= (_ @t5 @t695) @t696))) % 0.40/0.84 (step @p2109 :rule symm :premises (@p2108)) % 0.40/0.84 (step @p2110 :rule refl :args (@t217)) % 0.40/0.84 (step @p2111 :rule eq_resolve :premises (@p2110 @p2109)) % 0.40/0.84 (step @p2112 :rule refl :args (@t216)) % 0.40/0.84 (step @p2113 :rule cong :premises (@p2112 @p2104) :args ((= @t216 @t695))) % 0.40/0.84 (step @p2114 :rule symm :premises (@p2113)) % 0.40/0.84 (step @p2115 :rule eq_resolve :premises (@p2112 @p2114)) % 0.40/0.84 (step @p2116 :rule ho_cong :premises (@p1589 @p2115)) % 0.40/0.84 (step @p2117 :rule trans :premises (@p2116 @p2111)) % 0.40/0.84 (step @p2118 :rule cong :premises (@p2117) :args (@t218)) % 0.40/0.84 (step @p2119 :rule refl :args (tptp.setadjoinIL)) % 0.40/0.84 (step @p2120 :rule cong :premises (@p2119 @p2118) :args (@t219)) % 0.40/0.84 (step @p2121 :rule eq_resolve :premises (@p29 @p2120)) % 0.40/0.84 (step @p2122 :rule cong :premises (@p2121 @p2102) :args (@t1361)) % 0.40/0.84 (step @p2123 :rule aci_norm :args ((= (or @t700 false) @t700))) % 0.40/0.84 (step @p2124 :rule cong :premises (@p1031) :args (@t1362)) % 0.40/0.84 (step @p2125 :rule trans :premises (@p2124 @p404)) % 0.40/0.84 (step @p2126 :rule refl :args (@t700)) % 0.40/0.84 (step @p2127 :rule nary_cong :premises (@p2126 @p2125) :args (@t1363)) % 0.40/0.84 (step @p2128 :rule trans :premises (@p2127 @p2123)) % 0.40/0.84 (step @p2129 :rule cong :premises (@p2128) :args ((forall @t701 @t1363))) % 0.40/0.84 (step @p2130 :rule quant-var-elim-eq :args ((= (forall @t64 @t1365) @t1363))) % 0.40/0.84 (step @p2131 :rule aci_norm :args ((= @t1366 @t1365))) % 0.40/0.84 (step @p2132 :rule cong :premises (@p2131) :args (@t1367)) % 0.40/0.84 (step @p2133 :rule trans :premises (@p2132 @p2130)) % 0.40/0.84 (step @p2134 :rule cong :premises (@p2133) :args (@t1368)) % 0.40/0.84 (step @p2135 :rule quant-merge-prenex :args ((= @t1368 @t1369))) % 0.40/0.84 (step @p2136 :rule symm :premises (@p2135)) % 0.40/0.84 (step @p2137 :rule quant_var_reordering :args ((= @t1370 @t1369))) % 0.40/0.84 (step @p2138 :rule trans :premises (@p2137 @p2136 @p2134)) % 0.40/0.84 (step @p2139 :rule trans :premises (@p2138 @p2129)) % 0.40/0.84 (step @p2140 :rule quant-merge-prenex :args ((= (forall @t64 @t1371) @t1370))) % 0.40/0.84 (step @p2141 :rule refl :args (@t1288)) % 0.40/0.84 (step @p2142 :rule alpha_equiv :args (@t1372 (@list @t699) @t1001)) % 0.40/0.84 (step @p2143 :rule nary_cong :premises (@p2142 @p2141) :args (@t1373)) % 0.40/0.84 (step @p2144 :rule quant-miniscope-or :args ((= @t1371 @t1373))) % 0.40/0.84 (step @p2145 :rule trans :premises (@p2144 @p2143)) % 0.40/0.84 (step @p2146 :rule symm :premises (@p2145)) % 0.40/0.84 (step @p2147 :rule cong :premises (@p2146) :args ((forall @t64 (or @t640 @t1288)))) % 0.40/0.84 (step @p2148 :rule trans :premises (@p2147 @p2140)) % 0.40/0.84 (step @p2149 :rule trans :premises (@p2148 @p2139)) % 0.40/0.84 (step @p2150 :rule bool-double-not-elim :args (@t640)) % 0.40/0.84 (step @p2151 :rule nary_cong :premises (@p2150 @p2141) :args ((or @t1374 @t1288))) % 0.40/0.84 (step @p2152 :rule bool-impl-elim :args (@t641 @t1288)) % 0.40/0.84 (step @p2153 :rule trans :premises (@p2152 @p2151)) % 0.40/0.84 (step @p2154 :rule cong :premises (@p2153) :args ((forall @t64 (=> @t641 @t1288)))) % 0.40/0.84 (step @p2155 :rule trans :premises (@p2154 @p2149)) % 0.40/0.84 (step @p2156 :rule cong :premises (@p1727 @p1731) :args (@t1375)) % 0.40/0.84 (step @p2157 :rule cong :premises (@p2156) :args (@t1376)) % 0.40/0.84 (step @p2158 :rule trans :premises (@p2157 @p2155)) % 0.40/0.84 (step @p2159 :rule refl :args (tptp.nonemptyI1)) % 0.40/0.84 (step @p2160 :rule cong :premises (@p2159 @p2158) :args ((= tptp.nonemptyI1 @t1376))) % 0.40/0.84 (step @p2161 :rule refl :args (@t89)) % 0.40/0.84 (step @p2162 :rule cong :premises (@p2161 @p1738) :args (@t213)) % 0.40/0.84 (step @p2163 :rule cong :premises (@p2162) :args (@t214)) % 0.40/0.84 (step @p2164 :rule cong :premises (@p2159 @p2163) :args (@t215)) % 0.40/0.84 (step @p2165 :rule trans :premises (@p2164 @p2160)) % 0.40/0.84 (step @p2166 :rule eq_resolve :premises (@p28 @p2165)) % 0.40/0.84 (step @p2167 :rule cong :premises (@p2166 @p2122) :args (@t1377)) % 0.40/0.84 (step @p2168 :rule lambda-elim :args ((= @t1378 @t143))) % 0.40/0.84 (step @p2169 :rule cong :premises (@p498 @p2168) :args (@t1379)) % 0.40/0.84 (step @p2170 :rule cong :premises (@p93 @p2169) :args (@t1380)) % 0.40/0.84 (step @p2171 :rule cong :premises (@p2170) :args (@t1381)) % 0.40/0.84 (step @p2172 :rule refl :args (@t581)) % 0.40/0.84 (step @p2173 :rule refl :args (@t528)) % 0.40/0.84 (step @p2174 :rule nary_cong :premises (@p2173 @p2172 @p2171) :args (@t1382)) % 0.40/0.84 (step @p2175 :rule cong :premises (@p2174) :args ((forall @t159 @t1382))) % 0.40/0.84 (step @p2176 :rule refl :args ((tptp.dsetconstr @t2 @t154))) % 0.40/0.84 (step @p2177 :rule cong :premises (@p734) :args (@t1378)) % 0.40/0.84 (step @p2178 :rule cong :premises (@p526 @p2177) :args (@t1379)) % 0.40/0.84 (step @p2179 :rule trans :premises (@p2178 @p2176)) % 0.40/0.84 (step @p2180 :rule ho_cong :premises (@p529 @p2177)) % 0.40/0.84 (step @p2181 :rule cong :premises (@p2180 @p2179) :args ((= (_ @t155 @t1378) @t1379))) % 0.40/0.84 (step @p2182 :rule symm :premises (@p2181)) % 0.40/0.84 (step @p2183 :rule refl :args (@t156)) % 0.40/0.84 (step @p2184 :rule eq_resolve :premises (@p2183 @p2182)) % 0.40/0.84 (step @p2185 :rule cong :premises (@p738) :args (@t154)) % 0.40/0.84 (step @p2186 :rule ho_cong :premises (@p529 @p2185)) % 0.40/0.84 (step @p2187 :rule trans :premises (@p2186 @p2184)) % 0.40/0.84 (step @p2188 :rule cong :premises (@p140 @p2187) :args (@t1383)) % 0.40/0.84 (step @p2189 :rule cong :premises (@p2188) :args (@t1384)) % 0.40/0.84 (step @p2190 :rule nary_cong :premises (@p325 @p731 @p2189) :args (@t1385)) % 0.40/0.84 (step @p2191 :rule cong :premises (@p2190) :args ((forall @t159 @t1385))) % 0.40/0.84 (step @p2192 :rule trans :premises (@p2191 @p2175)) % 0.40/0.84 (step @p2193 :rule aci_norm :args ((= (or @t197 (or @t315 @t1384)) @t1385))) % 0.40/0.84 (step @p2194 :rule bool-impl-elim :args (@t144 @t1384)) % 0.40/0.84 (step @p2195 :rule nary_cong :premises (@p340 @p2194) :args ((or @t197 @t1386))) % 0.40/0.84 (step @p2196 :rule trans :premises (@p2195 @p2193)) % 0.40/0.84 (step @p2197 :rule bool-impl-elim :args (@t7 @t1386)) % 0.40/0.84 (step @p2198 :rule trans :premises (@p2197 @p2196)) % 0.40/0.84 (step @p2199 :rule cong :premises (@p2198) :args ((forall @t159 (=> @t7 @t1386)))) % 0.40/0.84 (step @p2200 :rule trans :premises (@p2199 @p2192)) % 0.40/0.84 (step @p2201 :rule eq-symm :args (@t156 tptp.emptyset)) % 0.40/0.84 (step @p2202 :rule cong :premises (@p2201) :args (@t1387)) % 0.40/0.84 (step @p2203 :rule beta-reduce :args ((= @t1388 @t1387))) % 0.40/0.84 (step @p2204 :rule trans :premises (@p2203 @p2202)) % 0.40/0.84 (step @p2205 :rule cong :premises (@p795 @p2204) :args (@t1389)) % 0.40/0.84 (step @p2206 :rule cong :premises (@p604 @p2205) :args (@t1390)) % 0.40/0.84 (step @p2207 :rule cong :premises (@p2206) :args (@t1391)) % 0.40/0.84 (step @p2208 :rule trans :premises (@p2207 @p2200)) % 0.40/0.84 (step @p2209 :rule refl :args (tptp.nonemptyI)) % 0.40/0.84 (step @p2210 :rule cong :premises (@p2209 @p2208) :args ((= tptp.nonemptyI @t1391))) % 0.40/0.84 (step @p2211 :rule refl :args (@t156)) % 0.40/0.84 (step @p2212 :rule ho_cong :premises (@p86 @p2211)) % 0.40/0.84 (step @p2213 :rule cong :premises (@p795 @p2212) :args (@t209)) % 0.40/0.84 (step @p2214 :rule cong :premises (@p604 @p2213) :args (@t210)) % 0.40/0.84 (step @p2215 :rule cong :premises (@p2214) :args (@t211)) % 0.40/0.84 (step @p2216 :rule cong :premises (@p2209 @p2215) :args (@t212)) % 0.40/0.84 (step @p2217 :rule trans :premises (@p2216 @p2210)) % 0.40/0.84 (step @p2218 :rule eq_resolve :premises (@p27 @p2217)) % 0.40/0.84 (step @p2219 :rule cong :premises (@p2218 @p2167) :args (@t1392)) % 0.40/0.84 (step @p2220 :rule cong :premises (@p1731 @p1727) :args (@t1393)) % 0.40/0.84 (step @p2221 :rule cong :premises (@p2220) :args (@t1394)) % 0.40/0.84 (step @p2222 :rule trans :premises (@p2221 @p1723)) % 0.40/0.84 (step @p2223 :rule refl :args (tptp.nonemptyE1)) % 0.40/0.84 (step @p2224 :rule cong :premises (@p2223 @p2222) :args ((= tptp.nonemptyE1 @t1394))) % 0.40/0.84 (step @p2225 :rule cong :premises (@p1738 @p2161) :args (@t206)) % 0.40/0.84 (step @p2226 :rule cong :premises (@p2225) :args (@t207)) % 0.40/0.84 (step @p2227 :rule cong :premises (@p2223 @p2226) :args (@t208)) % 0.40/0.84 (step @p2228 :rule trans :premises (@p2227 @p2224)) % 0.40/0.84 (step @p2229 :rule eq_resolve :premises (@p26 @p2228)) % 0.40/0.84 (step @p2230 :rule cong :premises (@p2229 @p2219) :args (@t1395)) % 0.40/0.84 (step @p2231 :rule refl :args (@t4)) % 0.40/0.84 (step @p2232 :rule cong :premises (@p2231 @p2169) :args (@t1396)) % 0.40/0.84 (step @p2233 :rule refl :args (@t580)) % 0.40/0.84 (step @p2234 :rule cong :premises (@p2233 @p2232) :args (@t1397)) % 0.40/0.84 (step @p2235 :rule nary_cong :premises (@p2173 @p2234) :args (@t1398)) % 0.40/0.84 (step @p2236 :rule cong :premises (@p2235) :args ((forall @t159 @t1398))) % 0.40/0.84 (step @p2237 :rule refl :args ((tptp.in @t4 @t156))) % 0.40/0.84 (step @p2238 :rule cong :premises (@p1555 @p2179) :args (@t1396)) % 0.40/0.84 (step @p2239 :rule trans :premises (@p2238 @p2237)) % 0.40/0.84 (step @p2240 :rule ho_cong :premises (@p1589 @p2179)) % 0.40/0.84 (step @p2241 :rule cong :premises (@p2240 @p2239) :args ((= (_ @t5 @t1379) @t1396))) % 0.40/0.84 (step @p2242 :rule symm :premises (@p2241)) % 0.40/0.84 (step @p2243 :rule refl :args (@t157)) % 0.40/0.84 (step @p2244 :rule eq_resolve :premises (@p2243 @p2242)) % 0.40/0.84 (step @p2245 :rule ho_cong :premises (@p1589 @p2187)) % 0.40/0.84 (step @p2246 :rule trans :premises (@p2245 @p2244)) % 0.40/0.84 (step @p2247 :rule cong :premises (@p538 @p2246) :args (@t1399)) % 0.40/0.84 (step @p2248 :rule nary_cong :premises (@p325 @p2247) :args (@t1400)) % 0.40/0.84 (step @p2249 :rule cong :premises (@p2248) :args ((forall @t159 @t1400))) % 0.40/0.84 (step @p2250 :rule trans :premises (@p2249 @p2236)) % 0.40/0.84 (step @p2251 :rule bool-impl-elim :args (@t7 @t1399)) % 0.40/0.84 (step @p2252 :rule cong :premises (@p2251) :args ((forall @t159 (=> @t7 @t1399)))) % 0.40/0.84 (step @p2253 :rule trans :premises (@p2252 @p2250)) % 0.40/0.84 (step @p2254 :rule eq-symm :args (@t157 @t144)) % 0.40/0.84 (step @p2255 :rule cong :premises (@p604 @p2254) :args (@t202)) % 0.40/0.84 (step @p2256 :rule cong :premises (@p2255) :args (@t203)) % 0.40/0.84 (step @p2257 :rule trans :premises (@p2256 @p2253)) % 0.40/0.84 (step @p2258 :rule refl :args (tptp.setbeta)) % 0.40/0.84 (step @p2259 :rule cong :premises (@p2258 @p2257) :args (@t204)) % 0.40/0.84 (step @p2260 :rule eq_resolve :premises (@p25 @p2259)) % 0.40/0.84 (step @p2261 :rule cong :premises (@p2260 @p2230) :args (@t1401)) % 0.40/0.84 (step @p2262 :rule eq-symm :args (@t710 tptp.noeltsimpempty)) % 0.40/0.84 (step @p2263 :rule refl :args (tptp.noeltsimpempty)) % 0.40/0.84 (step @p2264 :rule bool-impl-elim :args (@t640 @t196)) % 0.40/0.84 (step @p2265 :rule cong :premises (@p2264) :args ((forall @t64 (=> @t640 @t196)))) % 0.40/0.84 (step @p2266 :rule refl :args (@t196)) % 0.40/0.84 (step @p2267 :rule cong :premises (@p1724 @p2266) :args (@t199)) % 0.40/0.84 (step @p2268 :rule cong :premises (@p2267) :args (@t200)) % 0.40/0.84 (step @p2269 :rule trans :premises (@p2268 @p2265)) % 0.40/0.84 (step @p2270 :rule cong :premises (@p2269 @p2263) :args ((= @t200 tptp.noeltsimpempty))) % 0.40/0.84 (step @p2271 :rule trans :premises (@p2270 @p2262)) % 0.40/0.84 (step @p2272 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 0.40/0.84 (step @p2273 :rule trans :premises (@p2272 @p2271)) % 0.40/0.84 (step @p2274 :rule eq_resolve :premises (@p24 @p2273)) % 0.40/0.84 (step @p2275 :rule cong :premises (@p2274 @p2261) :args (@t1402)) % 0.40/0.84 (step @p2276 :rule refl :args (tptp.emptyI)) % 0.40/0.84 (step @p2277 :rule cong :premises (@p2276 @p2269) :args (@t201)) % 0.40/0.84 (step @p2278 :rule eq_resolve :premises (@p23 @p2277)) % 0.40/0.84 (step @p2279 :rule cong :premises (@p2278 @p2275) :args (@t1403)) % 0.40/0.84 (step @p2280 :rule aci_norm :args ((= (or @t535 (or @t675 @t3)) @t713))) % 0.40/0.84 (step @p2281 :rule bool-impl-elim :args (@t674 @t3)) % 0.40/0.84 (step @p2282 :rule nary_cong :premises (@p382 @p2281) :args ((or @t535 @t1404))) % 0.40/0.84 (step @p2283 :rule trans :premises (@p2282 @p2280)) % 0.40/0.84 (step @p2284 :rule bool-impl-elim :args (@t534 @t1404)) % 0.40/0.84 (step @p2285 :rule trans :premises (@p2284 @p2283)) % 0.40/0.84 (step @p2286 :rule cong :premises (@p2285) :args ((forall @t12 (=> @t534 @t1404)))) % 0.40/0.84 (step @p2287 :rule cong :premises (@p1966 @p611) :args (@t190)) % 0.40/0.84 (step @p2288 :rule cong :premises (@p392 @p2287) :args (@t193)) % 0.40/0.84 (step @p2289 :rule cong :premises (@p2288) :args (@t194)) % 0.40/0.84 (step @p2290 :rule trans :premises (@p2289 @p2286)) % 0.40/0.84 (step @p2291 :rule refl :args (tptp.setext)) % 0.40/0.84 (step @p2292 :rule cong :premises (@p2291 @p2290) :args (@t195)) % 0.40/0.84 (step @p2293 :rule eq_resolve :premises (@p22 @p2292)) % 0.40/0.84 (step @p2294 :rule cong :premises (@p2293 @p2279) :args (@t1405)) % 0.40/0.84 (step @p2295 :rule eq-symm :args (@t716 @t19)) % 0.40/0.84 (step @p2296 :rule nary_cong :premises (@p626 @p2295) :args (@t1406)) % 0.40/0.84 (step @p2297 :rule cong :premises (@p2296) :args (@t1407)) % 0.40/0.84 (step @p2298 :rule cong :premises (@p2297) :args (@t1408)) % 0.40/0.84 (step @p2299 :rule refl :args (@t717)) % 0.40/0.84 (step @p2300 :rule refl :args (@t719)) % 0.40/0.84 (step @p2301 :rule nary_cong :premises (@p2300 @p2299 @p2298) :args (@t1409)) % 0.40/0.84 (step @p2302 :rule aci_norm :args ((= @t1411 @t1409))) % 0.40/0.84 (step @p2303 :rule trans :premises (@p2302 @p2301)) % 0.40/0.84 (step @p2304 :rule cong :premises (@p2303) :args (@t1412)) % 0.40/0.84 (step @p2305 :rule quant-merge-prenex :args ((= (forall @t150 @t1414) @t1412))) % 0.40/0.84 (step @p2306 :rule refl :args (@t719)) % 0.40/0.84 (step @p2307 :rule alpha_equiv :args (@t1415 (@list @t716) @t1001)) % 0.40/0.84 (step @p2308 :rule nary_cong :premises (@p2307 @p2306) :args (@t1416)) % 0.40/0.84 (step @p2309 :rule quant-miniscope-or :args ((= @t1414 @t1416))) % 0.40/0.84 (step @p2310 :rule trans :premises (@p2309 @p2308)) % 0.40/0.84 (step @p2311 :rule symm :premises (@p2310)) % 0.40/0.84 (step @p2312 :rule cong :premises (@p2311) :args ((forall @t150 (or @t582 @t719)))) % 0.40/0.84 (step @p2313 :rule trans :premises (@p2312 @p2305)) % 0.40/0.84 (step @p2314 :rule trans :premises (@p2313 @p2304)) % 0.40/0.84 (step @p2315 :rule nary_cong :premises (@p694 @p2306) :args ((or @t1011 @t719))) % 0.40/0.84 (step @p2316 :rule bool-impl-elim :args (@t583 @t719)) % 0.40/0.84 (step @p2317 :rule trans :premises (@p2316 @p2315)) % 0.40/0.84 (step @p2318 :rule cong :premises (@p2317) :args ((forall @t150 (=> @t583 @t719)))) % 0.40/0.84 (step @p2319 :rule trans :premises (@p2318 @p2314)) % 0.40/0.84 (step @p2320 :rule cong :premises (@p755 @p1271) :args (@t1417)) % 0.40/0.84 (step @p2321 :rule cong :premises (@p2320) :args (@t1418)) % 0.40/0.84 (step @p2322 :rule trans :premises (@p2321 @p2319)) % 0.40/0.84 (step @p2323 :rule refl :args (tptp.exuE3e)) % 0.40/0.84 (step @p2324 :rule cong :premises (@p2323 @p2322) :args ((= tptp.exuE3e @t1418))) % 0.40/0.84 (step @p2325 :rule cong :premises (@p804 @p1278) :args (@t187)) % 0.40/0.84 (step @p2326 :rule cong :premises (@p2325) :args (@t188)) % 0.40/0.84 (step @p2327 :rule cong :premises (@p2323 @p2326) :args (@t189)) % 0.40/0.84 (step @p2328 :rule trans :premises (@p2327 @p2324)) % 0.40/0.84 (step @p2329 :rule eq_resolve :premises (@p21 @p2328)) % 0.40/0.84 (step @p2330 :rule cong :premises (@p2329 @p2294) :args (@t1419)) % 0.40/0.84 (step @p2331 :rule eq-symm :args (@t723 tptp.notinemptyset)) % 0.40/0.84 (step @p2332 :rule refl :args (tptp.notinemptyset)) % 0.40/0.84 (step @p2333 :rule cong :premises (@p1500) :args (@t17)) % 0.40/0.84 (step @p2334 :rule cong :premises (@p2333 @p2332) :args ((= @t17 tptp.notinemptyset))) % 0.40/0.84 (step @p2335 :rule trans :premises (@p2334 @p2331)) % 0.40/0.84 (step @p2336 :rule eq-symm :args (tptp.notinemptyset @t17)) % 0.40/0.84 (step @p2337 :rule trans :premises (@p2336 @p2335)) % 0.40/0.84 (step @p2338 :rule eq_resolve :premises (@p20 @p2337)) % 0.40/0.84 (step @p2339 :rule cong :premises (@p2338 @p2330) :args (@t1420)) % 0.40/0.84 (step @p2340 :rule bool-impl-false1 :args (@t15)) % 0.40/0.84 (step @p2341 :rule cong :premises (@p2340) :args (@t184)) % 0.40/0.84 (step @p2342 :rule trans :premises (@p2341 @p2333)) % 0.40/0.84 (step @p2343 :rule refl :args (tptp.emptysetimpfalse)) % 0.40/0.84 (step @p2344 :rule cong :premises (@p2343 @p2342) :args (@t185)) % 0.40/0.84 (step @p2345 :rule eq_resolve :premises (@p19 @p2344)) % 0.40/0.84 (step @p2346 :rule cong :premises (@p2345 @p2339) :args (@t1421)) % 0.40/0.84 (step @p2347 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1316 @t173)) false))) % 0.40/0.84 (step @p2348 :rule nary_cong :premises (@p1843 @p1836) :args (@t1422)) % 0.40/0.84 (step @p2349 :rule aci_norm :args ((= @t173 @t1422))) % 0.40/0.84 (step @p2350 :rule trans :premises (@p2349 @p2348)) % 0.40/0.84 (step @p2351 :rule cong :premises (@p2350) :args (@t180)) % 0.40/0.84 (step @p2352 :rule trans :premises (@p2351 @p2347)) % 0.40/0.84 (step @p2353 :rule refl :args (@t15)) % 0.40/0.84 (step @p2354 :rule cong :premises (@p2353 @p2352) :args (@t181)) % 0.40/0.84 (step @p2355 :rule trans :premises (@p2354 @p2340)) % 0.40/0.84 (step @p2356 :rule cong :premises (@p2355) :args (@t182)) % 0.40/0.84 (step @p2357 :rule trans :premises (@p2356 @p2333)) % 0.40/0.84 (step @p2358 :rule refl :args (tptp.emptysetE)) % 0.40/0.84 (step @p2359 :rule cong :premises (@p2358 @p2357) :args (@t183)) % 0.40/0.84 (step @p2360 :rule eq_resolve :premises (@p18 @p2359)) % 0.40/0.84 (step @p2361 :rule cong :premises (@p2360 @p2346) :args (@t1423)) % 0.40/0.84 (step @p2362 :rule aci_norm :args ((= @t1424 @t727))) % 0.40/0.84 (step @p2363 :rule cong :premises (@p2362) :args ((forall @t9 @t1424))) % 0.40/0.84 (step @p2364 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t1316 @t1426 @t173)) @t1424))) % 0.40/0.84 (step @p2365 :rule refl :args (@t1426)) % 0.40/0.84 (step @p2366 :rule nary_cong :premises (@p1843 @p2365 @p1836) :args (@t1427)) % 0.40/0.84 (step @p2367 :rule aci_norm :args ((= @t1428 @t1427))) % 0.40/0.84 (step @p2368 :rule trans :premises (@p2367 @p2366)) % 0.40/0.84 (step @p2369 :rule cong :premises (@p2368) :args (@t1429)) % 0.40/0.84 (step @p2370 :rule trans :premises (@p2369 @p2364)) % 0.40/0.84 (step @p2371 :rule cong :premises (@p2370) :args (@t1430)) % 0.40/0.84 (step @p2372 :rule quant-merge-prenex :args ((= @t1430 @t1431))) % 0.40/0.84 (step @p2373 :rule symm :premises (@p2372)) % 0.40/0.84 (step @p2374 :rule quant_var_reordering :args ((= (forall @t176 @t1428) @t1431))) % 0.40/0.84 (step @p2375 :rule trans :premises (@p2374 @p2373 @p2371)) % 0.40/0.84 (step @p2376 :rule trans :premises (@p2375 @p2363)) % 0.40/0.84 (step @p2377 :rule refl :args ((tptp.in @t4 @t174))) % 0.40/0.84 (step @p2378 :rule cong :premises (@p1555 @p1401) :args (@t1425)) % 0.40/0.84 (step @p2379 :rule trans :premises (@p2378 @p2377)) % 0.40/0.84 (step @p2380 :rule ho_cong :premises (@p1589 @p1401)) % 0.40/0.84 (step @p2381 :rule cong :premises (@p2380 @p2379) :args ((= (_ @t5 @t1232) @t1425))) % 0.40/0.84 (step @p2382 :rule symm :premises (@p2381)) % 0.40/0.84 (step @p2383 :rule refl :args (@t175)) % 0.40/0.84 (step @p2384 :rule eq_resolve :premises (@p2383 @p2382)) % 0.40/0.84 (step @p2385 :rule ho_cong :premises (@p1589 @p1413)) % 0.40/0.84 (step @p2386 :rule trans :premises (@p2385 @p2384)) % 0.40/0.84 (step @p2387 :rule cong :premises (@p2386) :args (@t1432)) % 0.40/0.84 (step @p2388 :rule nary_cong :premises (@p2387 @p1836) :args (@t1433)) % 0.40/0.84 (step @p2389 :rule cong :premises (@p2388) :args ((forall @t176 @t1433))) % 0.40/0.84 (step @p2390 :rule trans :premises (@p2389 @p2376)) % 0.40/0.84 (step @p2391 :rule bool-impl-elim :args (@t175 @t173)) % 0.40/0.84 (step @p2392 :rule cong :premises (@p2391) :args (@t177)) % 0.40/0.84 (step @p2393 :rule trans :premises (@p2392 @p2390)) % 0.40/0.84 (step @p2394 :rule refl :args (tptp.prop2setE)) % 0.40/0.84 (step @p2395 :rule cong :premises (@p2394 @p2393) :args (@t178)) % 0.40/0.84 (step @p2396 :rule eq_resolve :premises (@p17 @p2395)) % 0.40/0.84 (step @p2397 :rule cong :premises (@p2396 @p2361) :args (@t1434)) % 0.40/0.84 (step @p2398 :rule bool-eq-true :args (tptp.exuE1)) % 0.40/0.84 (step @p2399 :rule symm :premises (@p2398)) % 0.40/0.84 (step @p2400 :rule cong :premises (@p755 @p798) :args (@t1435)) % 0.40/0.84 (step @p2401 :rule cong :premises (@p2400) :args (@t1436)) % 0.40/0.84 (step @p2402 :rule trans :premises (@p2401 @p1294)) % 0.40/0.84 (step @p2403 :rule refl :args (tptp.exuE1)) % 0.40/0.84 (step @p2404 :rule cong :premises (@p2403 @p2402) :args ((= tptp.exuE1 @t1436))) % 0.40/0.84 (step @p2405 :rule trans :premises (@p2404 @p2398)) % 0.40/0.84 (step @p2406 :rule cong :premises (@p804 @p1301) :args (@t170)) % 0.40/0.84 (step @p2407 :rule cong :premises (@p2406) :args (@t171)) % 0.40/0.84 (step @p2408 :rule cong :premises (@p2403 @p2407) :args (@t172)) % 0.40/0.84 (step @p2409 :rule trans :premises (@p2408 @p2405)) % 0.40/0.84 (step @p2410 :rule eq_resolve :premises (@p16 @p2409)) % 0.40/0.84 (step @p2411 :rule eq_resolve :premises (@p2410 @p2399)) % 0.40/0.84 (step @p2412 :rule cong :premises (@p2411 @p2397) :args (@t1437)) % 0.40/0.84 (step @p2413 :rule cong :premises (@p2232) :args (@t1438)) % 0.40/0.84 (step @p2414 :rule nary_cong :premises (@p2413 @p2233) :args (@t1439)) % 0.40/0.84 (step @p2415 :rule cong :premises (@p2414) :args ((forall @t159 @t1439))) % 0.40/0.84 (step @p2416 :rule cong :premises (@p2246) :args (@t1440)) % 0.40/0.84 (step @p2417 :rule nary_cong :premises (@p2416 @p538) :args (@t1441)) % 0.40/0.84 (step @p2418 :rule cong :premises (@p2417) :args ((forall @t159 @t1441))) % 0.40/0.84 (step @p2419 :rule trans :premises (@p2418 @p2415)) % 0.40/0.84 (step @p2420 :rule bool-impl-elim :args (@t157 @t144)) % 0.40/0.84 (step @p2421 :rule cong :premises (@p2420) :args (@t164)) % 0.40/0.84 (step @p2422 :rule trans :premises (@p2421 @p2419)) % 0.40/0.84 (step @p2423 :rule refl :args (tptp.dsetconstrER)) % 0.40/0.84 (step @p2424 :rule cong :premises (@p2423 @p2422) :args (@t165)) % 0.40/0.84 (step @p2425 :rule eq_resolve :premises (@p15 @p2424)) % 0.40/0.84 (step @p2426 :rule cong :premises (@p2425 @p2412) :args (@t1442)) % 0.40/0.84 (step @p2427 :rule refl :args (@t527)) % 0.40/0.84 (step @p2428 :rule nary_cong :premises (@p2413 @p2427) :args (@t1443)) % 0.40/0.84 (step @p2429 :rule cong :premises (@p2428) :args ((forall @t159 @t1443))) % 0.40/0.84 (step @p2430 :rule nary_cong :premises (@p2416 @p324) :args (@t1444)) % 0.40/0.84 (step @p2431 :rule cong :premises (@p2430) :args ((forall @t159 @t1444))) % 0.40/0.84 (step @p2432 :rule trans :premises (@p2431 @p2429)) % 0.40/0.84 (step @p2433 :rule bool-impl-elim :args (@t157 @t7)) % 0.40/0.84 (step @p2434 :rule cong :premises (@p2433) :args (@t162)) % 0.40/0.84 (step @p2435 :rule trans :premises (@p2434 @p2432)) % 0.40/0.84 (step @p2436 :rule refl :args (tptp.dsetconstrEL)) % 0.40/0.84 (step @p2437 :rule cong :premises (@p2436 @p2435) :args (@t163)) % 0.40/0.84 (step @p2438 :rule eq_resolve :premises (@p14 @p2437)) % 0.40/0.84 (step @p2439 :rule cong :premises (@p2438 @p2426) :args (@t1445)) % 0.40/0.84 (step @p2440 :rule nary_cong :premises (@p2173 @p2172 @p2232) :args (@t1446)) % 0.40/0.84 (step @p2441 :rule cong :premises (@p2440) :args ((forall @t159 @t1446))) % 0.40/0.84 (step @p2442 :rule nary_cong :premises (@p325 @p731 @p2246) :args (@t1447)) % 0.40/0.84 (step @p2443 :rule cong :premises (@p2442) :args ((forall @t159 @t1447))) % 0.40/0.84 (step @p2444 :rule trans :premises (@p2443 @p2441)) % 0.40/0.84 (step @p2445 :rule aci_norm :args ((= (or @t197 (or @t315 @t157)) @t1447))) % 0.40/0.84 (step @p2446 :rule bool-impl-elim :args (@t144 @t157)) % 0.40/0.84 (step @p2447 :rule nary_cong :premises (@p340 @p2446) :args ((or @t197 @t158))) % 0.40/0.84 (step @p2448 :rule trans :premises (@p2447 @p2445)) % 0.40/0.84 (step @p2449 :rule bool-impl-elim :args (@t7 @t158)) % 0.40/0.84 (step @p2450 :rule trans :premises (@p2449 @p2448)) % 0.40/0.84 (step @p2451 :rule cong :premises (@p2450) :args (@t160)) % 0.40/0.84 (step @p2452 :rule trans :premises (@p2451 @p2444)) % 0.40/0.84 (step @p2453 :rule refl :args (tptp.dsetconstrI)) % 0.40/0.84 (step @p2454 :rule cong :premises (@p2453 @p2452) :args (@t161)) % 0.40/0.84 (step @p2455 :rule eq_resolve :premises (@p13 @p2454)) % 0.40/0.84 (step @p2456 :rule cong :premises (@p2455 @p2439) :args (@t1448)) % 0.40/0.84 (step @p2457 :rule eq-symm :args (@t737 @t19)) % 0.40/0.84 (step @p2458 :rule nary_cong :premises (@p626 @p2457) :args (@t1449)) % 0.40/0.84 (step @p2459 :rule cong :premises (@p2458) :args (@t1450)) % 0.40/0.84 (step @p2460 :rule cong :premises (@p2459) :args (@t1451)) % 0.40/0.84 (step @p2461 :rule refl :args (@t738)) % 0.40/0.84 (step @p2462 :rule refl :args (@t739)) % 0.40/0.84 (step @p2463 :rule nary_cong :premises (@p2462 @p2461 @p2460) :args (@t1452)) % 0.40/0.84 (step @p2464 :rule aci_norm :args ((= @t1454 @t1452))) % 0.40/0.84 (step @p2465 :rule trans :premises (@p2464 @p2463)) % 0.40/0.84 (step @p2466 :rule cong :premises (@p2465) :args (@t1455)) % 0.40/0.84 (step @p2467 :rule quant-merge-prenex :args ((= (forall @t150 @t1457) @t1455))) % 0.40/0.84 (step @p2468 :rule refl :args (@t739)) % 0.40/0.84 (step @p2469 :rule alpha_equiv :args (@t1458 (@list @t737) @t1001)) % 0.40/0.84 (step @p2470 :rule nary_cong :premises (@p2469 @p2468) :args (@t1459)) % 0.40/0.84 (step @p2471 :rule quant-miniscope-or :args ((= @t1457 @t1459))) % 0.40/0.84 (step @p2472 :rule trans :premises (@p2471 @p2470)) % 0.40/0.84 (step @p2473 :rule symm :premises (@p2472)) % 0.40/0.84 (step @p2474 :rule cong :premises (@p2473) :args ((forall @t150 (or @t582 @t739)))) % 0.40/0.84 (step @p2475 :rule trans :premises (@p2474 @p2467)) % 0.40/0.84 (step @p2476 :rule trans :premises (@p2475 @p2466)) % 0.40/0.84 (step @p2477 :rule cong :premises (@p650) :args (@t1460)) % 0.40/0.84 (step @p2478 :rule nary_cong :premises (@p653 @p2477) :args (@t1461)) % 0.40/0.84 (step @p2479 :rule cong :premises (@p2478) :args ((forall @t150 @t1461))) % 0.40/0.84 (step @p2480 :rule trans :premises (@p2479 @p2476)) % 0.40/0.84 (step @p2481 :rule refl :args ((_ @t143 @t146))) % 0.40/0.84 (step @p2482 :rule cong :premises (@p670) :args (@t1460)) % 0.40/0.84 (step @p2483 :rule trans :premises (@p2482 @p2481)) % 0.40/0.84 (step @p2484 :rule refl :args (@t143)) % 0.40/0.84 (step @p2485 :rule ho_cong :premises (@p2484 @p670)) % 0.40/0.84 (step @p2486 :rule cong :premises (@p2485 @p2483) :args ((= (_ @t143 @t1005) @t1460))) % 0.40/0.84 (step @p2487 :rule symm :premises (@p2486)) % 0.40/0.84 (step @p2488 :rule refl :args (@t147)) % 0.40/0.84 (step @p2489 :rule eq_resolve :premises (@p2488 @p2487)) % 0.40/0.84 (step @p2490 :rule ho_cong :premises (@p2484 @p677)) % 0.40/0.84 (step @p2491 :rule trans :premises (@p2490 @p2489)) % 0.40/0.84 (step @p2492 :rule nary_cong :premises (@p680 @p2491) :args (@t1462)) % 0.40/0.84 (step @p2493 :rule cong :premises (@p2492) :args ((forall @t150 @t1462))) % 0.40/0.84 (step @p2494 :rule trans :premises (@p2493 @p2480)) % 0.40/0.84 (step @p2495 :rule nary_cong :premises (@p694 @p2488) :args ((or @t1011 @t147))) % 0.40/0.84 (step @p2496 :rule bool-impl-elim :args (@t583 @t147)) % 0.40/0.84 (step @p2497 :rule trans :premises (@p2496 @p2495)) % 0.40/0.84 (step @p2498 :rule cong :premises (@p2497) :args ((forall @t150 (=> @t583 @t147)))) % 0.40/0.84 (step @p2499 :rule trans :premises (@p2498 @p2494)) % 0.40/0.84 (step @p2500 :rule refl :args (@t147)) % 0.40/0.84 (step @p2501 :rule cong :premises (@p755 @p2500) :args (@t1463)) % 0.40/0.84 (step @p2502 :rule cong :premises (@p2501) :args (@t1464)) % 0.40/0.84 (step @p2503 :rule trans :premises (@p2502 @p2499)) % 0.40/0.84 (step @p2504 :rule refl :args (tptp.descrp)) % 0.40/0.84 (step @p2505 :rule cong :premises (@p2504 @p2503) :args ((= tptp.descrp @t1464))) % 0.40/0.84 (step @p2506 :rule cong :premises (@p804 @p2500) :args (@t149)) % 0.40/0.84 (step @p2507 :rule cong :premises (@p2506) :args (@t151)) % 0.40/0.84 (step @p2508 :rule cong :premises (@p2504 @p2507) :args (@t152)) % 0.40/0.84 (step @p2509 :rule trans :premises (@p2508 @p2505)) % 0.40/0.84 (step @p2510 :rule eq_resolve :premises (@p12 @p2509)) % 0.40/0.84 (step @p2511 :rule cong :premises (@p2510 @p2456) :args (@t1465)) % 0.40/0.84 (step @p2512 :rule aci_norm :args ((= (or @t791 (or @t784 (or @t780 @t768))) @t792))) % 0.40/0.84 (step @p2513 :rule bool-and-de-morgan :args (@t779 @t767 true)) % 0.40/0.84 (step @p2514 :rule refl :args (@t784)) % 0.40/0.84 (step @p2515 :rule nary_cong :premises (@p2514 @p2513) :args ((or @t784 (not (and @t779 @t767))))) % 0.40/0.84 (step @p2516 :rule bool-and-de-morgan :args (@t783 @t779 (and @t767))) % 0.40/0.84 (step @p2517 :rule trans :premises (@p2516 @p2515)) % 0.40/0.84 (step @p2518 :rule refl :args (@t791)) % 0.40/0.84 (step @p2519 :rule nary_cong :premises (@p2518 @p2517) :args ((or @t791 (not (and @t783 @t779 @t767))))) % 0.40/0.84 (step @p2520 :rule bool-and-de-morgan :args (@t790 @t783 (and @t779 @t767))) % 0.40/0.84 (step @p2521 :rule trans :premises (@p2520 @p2519)) % 0.40/0.84 (step @p2522 :rule trans :premises (@p2521 @p2512)) % 0.40/0.84 (step @p2523 :rule cong :premises (@p2522) :args (@t1467)) % 0.40/0.84 (step @p2524 :rule cong :premises (@p2523) :args (@t1468)) % 0.40/0.84 (step @p2525 :rule exists-elim :args ((= (exists @t41 @t1466) @t1468))) % 0.40/0.84 (step @p2526 :rule trans :premises (@p2525 @p2524)) % 0.40/0.84 (step @p2527 :rule quant-merge-prenex :args ((= (forall @t118 @t1470) @t767))) % 0.40/0.84 (step @p2528 :rule refl :args (@t761)) % 0.40/0.84 (step @p2529 :rule alpha_equiv :args (@t1471 (@list @t762) @t1001)) % 0.40/0.84 (step @p2530 :rule refl :args (@t765)) % 0.40/0.84 (step @p2531 :rule nary_cong :premises (@p2530 @p2529 @p2528) :args (@t1472)) % 0.40/0.84 (step @p2532 :rule quant-miniscope-or :args ((= @t1470 @t1472))) % 0.40/0.84 (step @p2533 :rule trans :premises (@p2532 @p2531)) % 0.40/0.84 (step @p2534 :rule symm :premises (@p2533)) % 0.40/0.84 (step @p2535 :rule cong :premises (@p2534) :args ((forall @t118 @t1474))) % 0.40/0.84 (step @p2536 :rule trans :premises (@p2535 @p2527)) % 0.40/0.84 (step @p2537 :rule aci_norm :args ((= (or (or @t765 @t1473) @t761) @t1474))) % 0.40/0.84 (step @p2538 :rule bool-double-not-elim :args (@t1473)) % 0.40/0.84 (step @p2539 :rule nary_cong :premises (@p2530 @p2538) :args ((or @t765 (not @t1475)))) % 0.40/0.84 (step @p2540 :rule bool-and-de-morgan :args (@t764 @t1475 true)) % 0.40/0.84 (step @p2541 :rule trans :premises (@p2540 @p2539)) % 0.40/0.84 (step @p2542 :rule nary_cong :premises (@p2541 @p2528) :args ((or (not @t1476) @t761))) % 0.40/0.84 (step @p2543 :rule trans :premises (@p2542 @p2537)) % 0.40/0.84 (step @p2544 :rule bool-impl-elim :args (@t1476 @t761)) % 0.40/0.84 (step @p2545 :rule trans :premises (@p2544 @p2543)) % 0.40/0.84 (step @p2546 :rule cong :premises (@p2545) :args ((forall @t118 (=> @t1476 @t761)))) % 0.40/0.84 (step @p2547 :rule trans :premises (@p2546 @p2536)) % 0.40/0.84 (step @p2548 :rule refl :args (@t752)) % 0.40/0.84 (step @p2549 :rule refl :args (@t756)) % 0.40/0.84 (step @p2550 :rule refl :args (@t757)) % 0.40/0.84 (step @p2551 :rule refl :args (@t109)) % 0.40/0.84 (step @p2552 :rule cong :premises (@p2551 @p2550) :args ((= @t109 @t757))) % 0.40/0.84 (step @p2553 :rule symm :premises (@p2552)) % 0.40/0.84 (step @p2554 :rule eq_resolve :premises (@p2551 @p2553)) % 0.40/0.84 (step @p2555 :rule cong :premises (@p2554) :args (@t1477)) % 0.40/0.84 (step @p2556 :rule refl :args (@t759)) % 0.40/0.84 (step @p2557 :rule refl :args (@t110)) % 0.40/0.84 (step @p2558 :rule cong :premises (@p2557 @p2556) :args ((= @t110 @t759))) % 0.40/0.84 (step @p2559 :rule symm :premises (@p2558)) % 0.40/0.84 (step @p2560 :rule eq_resolve :premises (@p2557 @p2559)) % 0.40/0.84 (step @p2561 :rule cong :premises (@p2560) :args (@t1478)) % 0.40/0.84 (step @p2562 :rule nary_cong :premises (@p2561 @p2555 @p2549 @p2548) :args (@t1479)) % 0.40/0.84 (step @p2563 :rule cong :premises (@p2562) :args ((forall @t112 @t1479))) % 0.40/0.84 (step @p2564 :rule aci_norm :args ((= (or @t1478 (or @t1477 (or @t756 @t752))) @t1479))) % 0.40/0.84 (step @p2565 :rule bool-and-de-morgan :args (@t755 @t751 true)) % 0.40/0.84 (step @p2566 :rule refl :args (@t1477)) % 0.40/0.84 (step @p2567 :rule nary_cong :premises (@p2566 @p2565) :args ((or @t1477 (not (and @t755 @t751))))) % 0.40/0.84 (step @p2568 :rule bool-and-de-morgan :args (@t109 @t755 (and @t751))) % 0.40/0.84 (step @p2569 :rule trans :premises (@p2568 @p2567)) % 0.40/0.84 (step @p2570 :rule refl :args (@t1478)) % 0.40/0.84 (step @p2571 :rule nary_cong :premises (@p2570 @p2569) :args ((or @t1478 (not (and @t109 @t755 @t751))))) % 0.40/0.84 (step @p2572 :rule bool-and-de-morgan :args (@t110 @t109 (and @t755 @t751))) % 0.40/0.84 (step @p2573 :rule trans :premises (@p2572 @p2571)) % 0.40/0.84 (step @p2574 :rule trans :premises (@p2573 @p2564)) % 0.40/0.84 (step @p2575 :rule cong :premises (@p2574) :args (@t1481)) % 0.40/0.84 (step @p2576 :rule trans :premises (@p2575 @p2563)) % 0.40/0.84 (step @p2577 :rule cong :premises (@p2576) :args (@t1482)) % 0.40/0.84 (step @p2578 :rule exists-elim :args ((= (exists @t112 @t1480) @t1482))) % 0.40/0.84 (step @p2579 :rule trans :premises (@p2578 @p2577)) % 0.40/0.84 (step @p2580 :rule aci_norm :args ((= @t1484 @t749))) % 0.40/0.84 (step @p2581 :rule cong :premises (@p2580) :args (@t1485)) % 0.40/0.84 (step @p2582 :rule quant-merge-prenex :args ((= (forall @t102 @t1487) @t1485))) % 0.40/0.84 (step @p2583 :rule refl :args (@t746)) % 0.40/0.84 (step @p2584 :rule alpha_equiv :args (@t1488 (@list @t743) @t1149)) % 0.40/0.84 (step @p2585 :rule refl :args (@t748)) % 0.40/0.84 (step @p2586 :rule nary_cong :premises (@p2585 @p2584 @p2583) :args (@t1489)) % 0.40/0.84 (step @p2587 :rule quant-miniscope-or :args ((= @t1487 @t1489))) % 0.40/0.84 (step @p2588 :rule trans :premises (@p2587 @p2586)) % 0.40/0.84 (step @p2589 :rule symm :premises (@p2588)) % 0.40/0.84 (step @p2590 :rule cong :premises (@p2589) :args ((forall @t102 (or @t748 @t1491 @t746)))) % 0.40/0.84 (step @p2591 :rule trans :premises (@p2590 @p2582)) % 0.40/0.84 (step @p2592 :rule trans :premises (@p2591 @p2581)) % 0.40/0.84 (step @p2593 :rule refl :args (@t746)) % 0.40/0.84 (step @p2594 :rule refl :args (@t94)) % 0.40/0.84 (step @p2595 :rule cong :premises (@p2594 @p2593) :args ((= @t94 @t746))) % 0.40/0.84 (step @p2596 :rule symm :premises (@p2595)) % 0.40/0.84 (step @p2597 :rule eq_resolve :premises (@p2594 @p2596)) % 0.40/0.84 (step @p2598 :rule refl :args (@t1491)) % 0.40/0.84 (step @p2599 :rule refl :args (@t747)) % 0.40/0.84 (step @p2600 :rule refl :args (@t100)) % 0.40/0.84 (step @p2601 :rule cong :premises (@p2600 @p2599) :args ((= @t100 @t747))) % 0.40/0.84 (step @p2602 :rule symm :premises (@p2601)) % 0.40/0.84 (step @p2603 :rule eq_resolve :premises (@p2600 @p2602)) % 0.40/0.84 (step @p2604 :rule cong :premises (@p2603) :args (@t1492)) % 0.40/0.84 (step @p2605 :rule nary_cong :premises (@p2604 @p2598 @p2597) :args (@t1493)) % 0.40/0.84 (step @p2606 :rule cong :premises (@p2605) :args ((forall @t102 @t1493))) % 0.40/0.84 (step @p2607 :rule trans :premises (@p2606 @p2592)) % 0.40/0.84 (step @p2608 :rule aci_norm :args ((= (or @t1492 @t1494) @t1493))) % 0.40/0.84 (step @p2609 :rule bool-impl-elim :args (@t100 @t1494)) % 0.40/0.84 (step @p2610 :rule trans :premises (@p2609 @p2608)) % 0.40/0.84 (step @p2611 :rule cong :premises (@p2610) :args ((forall @t102 (=> @t100 @t1494)))) % 0.40/0.84 (step @p2612 :rule trans :premises (@p2611 @p2607)) % 0.40/0.84 (step @p2613 :rule refl :args (@t94)) % 0.40/0.84 (step @p2614 :rule refl :args (@t754)) % 0.40/0.84 (step @p2615 :rule refl :args (@t96)) % 0.40/0.84 (step @p2616 :rule cong :premises (@p2615 @p2614) :args ((= @t96 @t754))) % 0.40/0.84 (step @p2617 :rule symm :premises (@p2616)) % 0.40/0.84 (step @p2618 :rule eq_resolve :premises (@p2615 @p2617)) % 0.40/0.84 (step @p2619 :rule refl :args (@t1490)) % 0.40/0.84 (step @p2620 :rule refl :args (@t97)) % 0.40/0.84 (step @p2621 :rule cong :premises (@p2620 @p2619) :args ((= @t97 @t1490))) % 0.40/0.84 (step @p2622 :rule symm :premises (@p2621)) % 0.40/0.84 (step @p2623 :rule eq_resolve :premises (@p2620 @p2622)) % 0.40/0.84 (step @p2624 :rule cong :premises (@p2623) :args (@t1495)) % 0.40/0.84 (step @p2625 :rule nary_cong :premises (@p2624 @p2618) :args (@t1496)) % 0.40/0.84 (step @p2626 :rule cong :premises (@p2625) :args ((forall @t70 @t1496))) % 0.40/0.84 (step @p2627 :rule bool-impl-elim :args (@t97 @t96)) % 0.40/0.84 (step @p2628 :rule cong :premises (@p2627) :args (@t98)) % 0.40/0.84 (step @p2629 :rule trans :premises (@p2628 @p2626)) % 0.40/0.84 (step @p2630 :rule nary_cong :premises (@p2629 @p2613) :args (@t99)) % 0.40/0.84 (step @p2631 :rule refl :args (@t100)) % 0.40/0.84 (step @p2632 :rule cong :premises (@p2631 @p2630) :args (@t101)) % 0.40/0.84 (step @p2633 :rule cong :premises (@p2632) :args (@t103)) % 0.40/0.84 (step @p2634 :rule trans :premises (@p2633 @p2612)) % 0.40/0.84 (step @p2635 :rule bool-double-not-elim :args (@t755)) % 0.40/0.84 (step @p2636 :rule refl :args (@t753)) % 0.40/0.84 (step @p2637 :rule refl :args (@t105)) % 0.40/0.84 (step @p2638 :rule cong :premises (@p2637 @p2636) :args ((= @t105 @t753))) % 0.40/0.84 (step @p2639 :rule symm :premises (@p2638)) % 0.40/0.84 (step @p2640 :rule eq_resolve :premises (@p2637 @p2639)) % 0.40/0.84 (step @p2641 :rule cong :premises (@p2640) :args (@t1497)) % 0.40/0.84 (step @p2642 :rule cong :premises (@p2618) :args (@t1498)) % 0.40/0.84 (step @p2643 :rule nary_cong :premises (@p2642 @p2641) :args (@t1499)) % 0.40/0.84 (step @p2644 :rule cong :premises (@p2643) :args ((forall @t70 @t1499))) % 0.40/0.84 (step @p2645 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 0.40/0.84 (step @p2646 :rule cong :premises (@p2645) :args (@t1500)) % 0.40/0.84 (step @p2647 :rule trans :premises (@p2646 @p2644)) % 0.40/0.84 (step @p2648 :rule cong :premises (@p2647) :args (@t1501)) % 0.40/0.84 (step @p2649 :rule exists-elim :args ((= @t107 @t1501))) % 0.40/0.84 (step @p2650 :rule trans :premises (@p2649 @p2648)) % 0.40/0.84 (step @p2651 :rule cong :premises (@p2650) :args (@t108)) % 0.40/0.84 (step @p2652 :rule trans :premises (@p2651 @p2635)) % 0.40/0.84 (step @p2653 :rule refl :args (@t109)) % 0.40/0.84 (step @p2654 :rule refl :args (@t110)) % 0.40/0.84 (step @p2655 :rule nary_cong :premises (@p2654 @p2653 @p2652 @p2634) :args (@t111)) % 0.40/0.84 (step @p2656 :rule cong :premises (@p2655) :args (@t113)) % 0.40/0.84 (step @p2657 :rule trans :premises (@p2656 @p2579)) % 0.40/0.84 (step @p2658 :rule cong :premises (@p2555) :args (@t1502)) % 0.40/0.84 (step @p2659 :rule cong :premises (@p2658) :args (@t1503)) % 0.40/0.84 (step @p2660 :rule exists-elim :args ((= @t114 @t1503))) % 0.40/0.84 (step @p2661 :rule trans :premises (@p2660 @p2659)) % 0.40/0.84 (step @p2662 :rule nary_cong :premises (@p2555 @p324) :args (@t1504)) % 0.40/0.84 (step @p2663 :rule cong :premises (@p2662) :args ((forall @t9 @t1504))) % 0.40/0.84 (step @p2664 :rule bool-impl-elim :args (@t109 @t7)) % 0.40/0.84 (step @p2665 :rule cong :premises (@p2664) :args (@t115)) % 0.40/0.84 (step @p2666 :rule trans :premises (@p2665 @p2663)) % 0.40/0.84 (step @p2667 :rule nary_cong :premises (@p2666 @p2661) :args (@t116)) % 0.40/0.84 (step @p2668 :rule cong :premises (@p2667 @p2657) :args (@t117)) % 0.40/0.84 (step @p2669 :rule cong :premises (@p2668) :args (@t119)) % 0.40/0.84 (step @p2670 :rule trans :premises (@p2669 @p2547)) % 0.40/0.84 (step @p2671 :rule aci_norm :args ((= @t1507 @t777))) % 0.40/0.84 (step @p2672 :rule cong :premises (@p2671) :args (@t1508)) % 0.40/0.84 (step @p2673 :rule quant-merge-prenex :args ((= (forall @t127 @t1509) @t1508))) % 0.40/0.84 (step @p2674 :rule alpha_equiv :args (@t1510 (@list @t769) @t1001)) % 0.40/0.84 (step @p2675 :rule alpha_equiv :args (@t1511 (@list @t772) @t1001)) % 0.40/0.84 (step @p2676 :rule refl :args (@t760)) % 0.40/0.84 (step @p2677 :rule refl :args (@t776)) % 0.40/0.84 (step @p2678 :rule nary_cong :premises (@p2677 @p2676 @p2675 @p2674) :args (@t1512)) % 0.40/0.84 (step @p2679 :rule quant-miniscope-or :args ((= @t1509 @t1512))) % 0.40/0.84 (step @p2680 :rule trans :premises (@p2679 @p2678)) % 0.40/0.84 (step @p2681 :rule symm :premises (@p2680)) % 0.40/0.84 (step @p2682 :rule cong :premises (@p2681) :args ((forall @t127 (or @t776 @t760 @t1515 @t1514)))) % 0.40/0.84 (step @p2683 :rule trans :premises (@p2682 @p2673)) % 0.40/0.84 (step @p2684 :rule trans :premises (@p2683 @p2672)) % 0.40/0.84 (step @p2685 :rule refl :args (@t1514)) % 0.40/0.84 (step @p2686 :rule refl :args (@t1515)) % 0.40/0.84 (step @p2687 :rule refl :args (@t775)) % 0.40/0.84 (step @p2688 :rule refl :args (@t124)) % 0.40/0.84 (step @p2689 :rule cong :premises (@p2688 @p2687) :args ((= @t124 @t775))) % 0.40/0.84 (step @p2690 :rule symm :premises (@p2689)) % 0.40/0.84 (step @p2691 :rule eq_resolve :premises (@p2688 @p2690)) % 0.40/0.84 (step @p2692 :rule cong :premises (@p2691) :args (@t1516)) % 0.40/0.84 (step @p2693 :rule nary_cong :premises (@p2692 @p2561 @p2686 @p2685) :args (@t1517)) % 0.40/0.84 (step @p2694 :rule cong :premises (@p2693) :args ((forall @t127 @t1517))) % 0.40/0.84 (step @p2695 :rule trans :premises (@p2694 @p2684)) % 0.40/0.84 (step @p2696 :rule aci_norm :args ((= (or (or @t1516 @t1478) @t1518) @t1517))) % 0.40/0.84 (step @p2697 :rule refl :args (@t1518)) % 0.40/0.84 (step @p2698 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 0.40/0.84 (step @p2699 :rule nary_cong :premises (@p2698 @p2697) :args ((or (not @t125) @t1518))) % 0.40/0.84 (step @p2700 :rule trans :premises (@p2699 @p2696)) % 0.40/0.84 (step @p2701 :rule bool-impl-elim :args (@t125 @t1518)) % 0.40/0.84 (step @p2702 :rule trans :premises (@p2701 @p2700)) % 0.40/0.84 (step @p2703 :rule cong :premises (@p2702) :args ((forall @t127 (=> @t125 @t1518)))) % 0.40/0.84 (step @p2704 :rule trans :premises (@p2703 @p2695)) % 0.40/0.84 (step @p2705 :rule refl :args (@t1513)) % 0.40/0.84 (step @p2706 :rule refl :args (@t120)) % 0.40/0.84 (step @p2707 :rule cong :premises (@p2706 @p2705) :args ((= @t120 @t1513))) % 0.40/0.84 (step @p2708 :rule symm :premises (@p2707)) % 0.40/0.84 (step @p2709 :rule eq_resolve :premises (@p2706 @p2708)) % 0.40/0.84 (step @p2710 :rule cong :premises (@p2709) :args (@t1519)) % 0.40/0.84 (step @p2711 :rule nary_cong :premises (@p2710 @p2554) :args (@t1520)) % 0.40/0.84 (step @p2712 :rule cong :premises (@p2711) :args ((forall @t9 @t1520))) % 0.40/0.84 (step @p2713 :rule bool-impl-elim :args (@t120 @t109)) % 0.40/0.84 (step @p2714 :rule cong :premises (@p2713) :args (@t121)) % 0.40/0.84 (step @p2715 :rule trans :premises (@p2714 @p2712)) % 0.40/0.84 (step @p2716 :rule nary_cong :premises (@p2555 @p2709) :args (@t1521)) % 0.40/0.84 (step @p2717 :rule cong :premises (@p2716) :args ((forall @t9 @t1521))) % 0.40/0.84 (step @p2718 :rule bool-impl-elim :args (@t109 @t120)) % 0.40/0.84 (step @p2719 :rule cong :premises (@p2718) :args (@t122)) % 0.40/0.84 (step @p2720 :rule trans :premises (@p2719 @p2717)) % 0.40/0.84 (step @p2721 :rule nary_cong :premises (@p2720 @p2715) :args (@t123)) % 0.40/0.84 (step @p2722 :rule refl :args (@t125)) % 0.40/0.84 (step @p2723 :rule cong :premises (@p2722 @p2721) :args (@t126)) % 0.40/0.84 (step @p2724 :rule cong :premises (@p2723) :args (@t128)) % 0.40/0.84 (step @p2725 :rule trans :premises (@p2724 @p2704)) % 0.40/0.84 (step @p2726 :rule refl :args (@t782)) % 0.40/0.84 (step @p2727 :rule nary_cong :premises (@p325 @p2092 @p2726 @p710) :args (@t1522)) % 0.40/0.84 (step @p2728 :rule cong :premises (@p2727) :args ((forall @t135 @t1522))) % 0.40/0.84 (step @p2729 :rule aci_norm :args ((= (or (or @t197 @t1357) (or @t782 @t129)) @t1522))) % 0.40/0.84 (step @p2730 :rule bool-impl-elim :args (@t781 @t129)) % 0.40/0.84 (step @p2731 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 0.40/0.84 (step @p2732 :rule nary_cong :premises (@p2731 @p2730) :args ((or (not @t133) @t1523))) % 0.40/0.84 (step @p2733 :rule trans :premises (@p2732 @p2729)) % 0.40/0.84 (step @p2734 :rule bool-impl-elim :args (@t133 @t1523)) % 0.40/0.84 (step @p2735 :rule trans :premises (@p2734 @p2733)) % 0.40/0.84 (step @p2736 :rule cong :premises (@p2735) :args ((forall @t135 (=> @t133 @t1523)))) % 0.40/0.84 (step @p2737 :rule trans :premises (@p2736 @p2728)) % 0.40/0.84 (step @p2738 :rule cong :premises (@p2554 @p2640) :args (@t130)) % 0.40/0.84 (step @p2739 :rule nary_cong :premises (@p2692 @p2738) :args (@t1524)) % 0.40/0.84 (step @p2740 :rule cong :premises (@p2739) :args ((forall @t118 @t1524))) % 0.40/0.84 (step @p2741 :rule bool-impl-elim :args (@t124 @t130)) % 0.40/0.84 (step @p2742 :rule cong :premises (@p2741) :args (@t131)) % 0.40/0.84 (step @p2743 :rule trans :premises (@p2742 @p2740)) % 0.40/0.84 (step @p2744 :rule cong :premises (@p2743 @p714) :args (@t132)) % 0.40/0.84 (step @p2745 :rule refl :args (@t133)) % 0.40/0.84 (step @p2746 :rule cong :premises (@p2745 @p2744) :args (@t134)) % 0.40/0.84 (step @p2747 :rule cong :premises (@p2746) :args (@t136)) % 0.40/0.84 (step @p2748 :rule trans :premises (@p2747 @p2737)) % 0.40/0.84 (step @p2749 :rule aci_norm :args ((= @t1526 @t788))) % 0.40/0.84 (step @p2750 :rule cong :premises (@p2749) :args (@t1527)) % 0.40/0.84 (step @p2751 :rule quant-merge-prenex :args ((= (forall @t118 @t1529) @t1527))) % 0.40/0.84 (step @p2752 :rule alpha_equiv :args (@t1530 (@list @t785) @t1001)) % 0.40/0.84 (step @p2753 :rule nary_cong :premises (@p2677 @p2752) :args (@t1531)) % 0.40/0.84 (step @p2754 :rule quant-miniscope-or :args ((= @t1529 @t1531))) % 0.40/0.84 (step @p2755 :rule trans :premises (@p2754 @p2753)) % 0.40/0.84 (step @p2756 :rule symm :premises (@p2755)) % 0.40/0.84 (step @p2757 :rule cong :premises (@p2756) :args ((forall @t118 (or @t776 @t764)))) % 0.40/0.84 (step @p2758 :rule trans :premises (@p2757 @p2751)) % 0.40/0.84 (step @p2759 :rule trans :premises (@p2758 @p2750)) % 0.40/0.84 (step @p2760 :rule refl :args (@t764)) % 0.40/0.84 (step @p2761 :rule nary_cong :premises (@p2692 @p2760) :args (@t1532)) % 0.40/0.84 (step @p2762 :rule cong :premises (@p2761) :args ((forall @t118 @t1532))) % 0.40/0.84 (step @p2763 :rule trans :premises (@p2762 @p2759)) % 0.40/0.84 (step @p2764 :rule bool-impl-elim :args (@t124 @t764)) % 0.40/0.84 (step @p2765 :rule cong :premises (@p2764) :args ((forall @t118 (=> @t124 @t764)))) % 0.40/0.84 (step @p2766 :rule trans :premises (@p2765 @p2763)) % 0.40/0.84 (step @p2767 :rule refl :args (@t124)) % 0.40/0.84 (step @p2768 :rule cong :premises (@p2767 @p2666) :args (@t137)) % 0.40/0.84 (step @p2769 :rule cong :premises (@p2768) :args (@t138)) % 0.40/0.84 (step @p2770 :rule trans :premises (@p2769 @p2766)) % 0.40/0.84 (step @p2771 :rule nary_cong :premises (@p2770 @p2748 @p2725 @p2670) :args (@t139)) % 0.40/0.84 (step @p2772 :rule cong :premises (@p2771) :args (@t140)) % 0.40/0.84 (step @p2773 :rule trans :premises (@p2772 @p2526)) % 0.40/0.84 (step @p2774 :rule cong :premises (@p2773) :args (@t141)) % 0.40/0.84 (step @p2775 :rule refl :args (tptp.wellorderingAx)) % 0.40/0.84 (step @p2776 :rule cong :premises (@p2775 @p2774) :args (@t142)) % 0.40/0.84 (step @p2777 :rule eq_resolve :premises (@p11 @p2776)) % 0.40/0.84 (step @p2778 :rule cong :premises (@p2777 @p2511) :args (@t1533)) % 0.40/0.84 (step @p2779 :rule quant-merge-prenex :args ((= (forall @t64 @t1535) @t801))) % 0.40/0.84 (step @p2780 :rule refl :args (@t797)) % 0.40/0.84 (step @p2781 :rule alpha_equiv :args (@t1536 (@list @t798) @t1001)) % 0.40/0.84 (step @p2782 :rule nary_cong :premises (@p2781 @p2780) :args (@t1537)) % 0.40/0.84 (step @p2783 :rule quant-miniscope-or :args ((= @t1535 @t1537))) % 0.40/0.84 (step @p2784 :rule trans :premises (@p2783 @p2782)) % 0.40/0.84 (step @p2785 :rule symm :premises (@p2784)) % 0.40/0.84 (step @p2786 :rule cong :premises (@p2785) :args ((forall @t64 (or @t640 @t797)))) % 0.40/0.84 (step @p2787 :rule trans :premises (@p2786 @p2779)) % 0.40/0.84 (step @p2788 :rule nary_cong :premises (@p2150 @p2780) :args ((or @t1374 @t797))) % 0.40/0.84 (step @p2789 :rule bool-impl-elim :args (@t641 @t797)) % 0.40/0.84 (step @p2790 :rule trans :premises (@p2789 @p2788)) % 0.40/0.84 (step @p2791 :rule cong :premises (@p2790) :args ((forall @t64 (=> @t641 @t797)))) % 0.40/0.84 (step @p2792 :rule trans :premises (@p2791 @p2787)) % 0.40/0.84 (step @p2793 :rule refl :args (@t796)) % 0.40/0.84 (step @p2794 :rule nary_cong :premises (@p1862 @p2793) :args (@t1538)) % 0.40/0.84 (step @p2795 :rule cong :premises (@p2794) :args ((forall @t41 @t1538))) % 0.40/0.84 (step @p2796 :rule bool-and-de-morgan :args (@t39 @t795 true)) % 0.40/0.84 (step @p2797 :rule cong :premises (@p2796) :args (@t1540)) % 0.40/0.84 (step @p2798 :rule trans :premises (@p2797 @p2795)) % 0.40/0.84 (step @p2799 :rule cong :premises (@p2798) :args (@t1541)) % 0.40/0.84 (step @p2800 :rule exists-elim :args ((= (exists @t41 @t1539) @t1541))) % 0.40/0.84 (step @p2801 :rule trans :premises (@p2800 @p2799)) % 0.40/0.84 (step @p2802 :rule bool-double-not-elim :args (@t795)) % 0.40/0.84 (step @p2803 :rule nary_cong :premises (@p1863 @p325) :args (@t1542)) % 0.40/0.84 (step @p2804 :rule cong :premises (@p2803) :args ((forall @t9 @t1542))) % 0.40/0.84 (step @p2805 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 0.40/0.84 (step @p2806 :rule cong :premises (@p2805) :args (@t1543)) % 0.40/0.84 (step @p2807 :rule trans :premises (@p2806 @p2804)) % 0.40/0.84 (step @p2808 :rule cong :premises (@p2807) :args (@t1544)) % 0.40/0.84 (step @p2809 :rule exists-elim :args ((= @t85 @t1544))) % 0.40/0.84 (step @p2810 :rule trans :premises (@p2809 @p2808)) % 0.40/0.84 (step @p2811 :rule cong :premises (@p2810) :args (@t86)) % 0.40/0.84 (step @p2812 :rule trans :premises (@p2811 @p2802)) % 0.40/0.84 (step @p2813 :rule refl :args (@t39)) % 0.40/0.84 (step @p2814 :rule nary_cong :premises (@p2813 @p2812) :args (@t87)) % 0.40/0.84 (step @p2815 :rule cong :premises (@p2814) :args (@t88)) % 0.40/0.84 (step @p2816 :rule trans :premises (@p2815 @p2801)) % 0.40/0.84 (step @p2817 :rule cong :premises (@p1727 @p2816) :args (@t90)) % 0.40/0.84 (step @p2818 :rule cong :premises (@p2817) :args (@t91)) % 0.40/0.84 (step @p2819 :rule trans :premises (@p2818 @p2792)) % 0.40/0.84 (step @p2820 :rule refl :args (tptp.foundationAx)) % 0.40/0.84 (step @p2821 :rule cong :premises (@p2820 @p2819) :args (@t92)) % 0.40/0.84 (step @p2822 :rule eq_resolve :premises (@p10 @p2821)) % 0.40/0.84 (step @p2823 :rule cong :premises (@p2822 @p2778) :args (@t1545)) % 0.40/0.84 (step @p2824 :rule bool-impl-elim :args (@t814 @t806)) % 0.40/0.84 (step @p2825 :rule cong :premises (@p2824) :args ((forall @t81 (=> @t814 @t806)))) % 0.40/0.84 (step @p2826 :rule exists-elim :args ((= (exists @t41 @t805) @t806))) % 0.40/0.84 (step @p2827 :rule refl :args (@t804)) % 0.40/0.84 (step @p2828 :rule cong :premises (@p330 @p2827) :args (@t1546)) % 0.40/0.84 (step @p2829 :rule cong :premises (@p2828) :args ((forall @t9 @t1546))) % 0.40/0.84 (step @p2830 :rule refl :args (@t803)) % 0.40/0.84 (step @p2831 :rule refl :args (@t68)) % 0.40/0.84 (step @p2832 :rule cong :premises (@p2831 @p2830) :args ((= @t68 @t803))) % 0.40/0.84 (step @p2833 :rule symm :premises (@p2832)) % 0.40/0.84 (step @p2834 :rule eq_resolve :premises (@p2831 @p2833)) % 0.40/0.84 (step @p2835 :rule cong :premises (@p2834) :args (@t1547)) % 0.40/0.84 (step @p2836 :rule nary_cong :premises (@p2092 @p2835) :args (@t1548)) % 0.40/0.84 (step @p2837 :rule cong :premises (@p2836) :args ((forall @t70 @t1548))) % 0.40/0.84 (step @p2838 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 0.40/0.84 (step @p2839 :rule cong :premises (@p2838) :args (@t1549)) % 0.40/0.84 (step @p2840 :rule trans :premises (@p2839 @p2837)) % 0.40/0.84 (step @p2841 :rule cong :premises (@p2840) :args (@t1550)) % 0.40/0.84 (step @p2842 :rule exists-elim :args ((= @t71 @t1550))) % 0.40/0.84 (step @p2843 :rule trans :premises (@p2842 @p2841)) % 0.40/0.84 (step @p2844 :rule refl :args (@t6)) % 0.40/0.84 (step @p2845 :rule cong :premises (@p2844 @p2843) :args (@t72)) % 0.40/0.84 (step @p2846 :rule cong :premises (@p2845) :args (@t73)) % 0.40/0.84 (step @p2847 :rule trans :premises (@p2846 @p2829)) % 0.40/0.84 (step @p2848 :rule cong :premises (@p2847) :args (@t74)) % 0.40/0.84 (step @p2849 :rule trans :premises (@p2848 @p2826)) % 0.40/0.84 (step @p2850 :rule refl :args (@t813)) % 0.40/0.84 (step @p2851 :rule nary_cong :premises (@p325 @p2850) :args (@t1551)) % 0.40/0.84 (step @p2852 :rule cong :premises (@p2851) :args ((forall @t9 @t1551))) % 0.40/0.84 (step @p2853 :rule bool-impl-elim :args (@t7 @t813)) % 0.40/0.84 (step @p2854 :rule cong :premises (@p2853) :args ((forall @t9 (=> @t7 @t813)))) % 0.40/0.84 (step @p2855 :rule trans :premises (@p2854 @p2852)) % 0.40/0.84 (step @p2856 :rule refl :args (@t810)) % 0.40/0.84 (step @p2857 :rule refl :args (@t811)) % 0.40/0.84 (step @p2858 :rule refl :args (@t1552)) % 0.40/0.84 (step @p2859 :rule cong :premises (@p2858 @p2857) :args ((= @t1552 @t811))) % 0.40/0.84 (step @p2860 :rule symm :premises (@p2859)) % 0.40/0.84 (step @p2861 :rule eq_resolve :premises (@p2858 @p2860)) % 0.40/0.84 (step @p2862 :rule cong :premises (@p2861) :args (@t1553)) % 0.40/0.84 (step @p2863 :rule nary_cong :premises (@p2862 @p2856) :args (@t1554)) % 0.40/0.84 (step @p2864 :rule cong :premises (@p2863) :args ((forall @t812 @t1554))) % 0.40/0.84 (step @p2865 :rule refl :args (@t808)) % 0.40/0.84 (step @p2866 :rule refl :args (@t809)) % 0.40/0.84 (step @p2867 :rule refl :args (@t76)) % 0.40/0.84 (step @p2868 :rule cong :premises (@p2867 @p2866) :args ((= @t76 @t809))) % 0.40/0.84 (step @p2869 :rule symm :premises (@p2868)) % 0.40/0.84 (step @p2870 :rule eq_resolve :premises (@p2867 @p2869)) % 0.40/0.84 (step @p2871 :rule cong :premises (@p2870) :args (@t1555)) % 0.40/0.84 (step @p2872 :rule nary_cong :premises (@p2871 @p2865) :args (@t1556)) % 0.40/0.84 (step @p2873 :rule cong :premises (@p2872) :args ((forall @t70 @t1556))) % 0.40/0.84 (step @p2874 :rule refl :args (@t808)) % 0.40/0.84 (step @p2875 :rule beta-reduce :args ((= @t1557 @t76))) % 0.40/0.84 (step @p2876 :rule cong :premises (@p2875) :args (@t1558)) % 0.40/0.84 (step @p2877 :rule nary_cong :premises (@p2876 @p2874) :args (@t1559)) % 0.40/0.84 (step @p2878 :rule cong :premises (@p2877) :args (@t1560)) % 0.40/0.84 (step @p2879 :rule trans :premises (@p2878 @p2873)) % 0.40/0.84 (step @p2880 :rule cong :premises (@p2879) :args (@t1561)) % 0.40/0.84 (step @p2881 :rule beta-reduce :args ((= @t1562 @t1552))) % 0.40/0.84 (step @p2882 :rule cong :premises (@p2881) :args (@t1563)) % 0.40/0.84 (step @p2883 :rule nary_cong :premises (@p2882 @p2880) :args (@t1564)) % 0.40/0.84 (step @p2884 :rule cong :premises (@p2883) :args (@t1565)) % 0.40/0.84 (step @p2885 :rule trans :premises (@p2884 @p2864)) % 0.40/0.84 (step @p2886 :rule cong :premises (@p2885) :args (@t1566)) % 0.40/0.84 (step @p2887 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t812 (or @t1567 (not (forall @t70 (or @t556 @t808))))))) @t77) @t1566))) % 0.40/0.84 (step @p2888 :rule trans :premises (@p2887 @p2886)) % 0.40/0.84 (step @p2889 :rule refl :args (@t77)) % 0.40/0.84 (step @p2890 :rule eq-symm :args (@t807 @t19)) % 0.40/0.84 (step @p2891 :rule nary_cong :premises (@p626 @p2890) :args (@t1568)) % 0.40/0.84 (step @p2892 :rule cong :premises (@p2891) :args (@t1569)) % 0.40/0.84 (step @p2893 :rule cong :premises (@p2892) :args (@t1570)) % 0.40/0.84 (step @p2894 :rule refl :args (@t1567)) % 0.40/0.84 (step @p2895 :rule nary_cong :premises (@p2894 @p2893) :args (@t1571)) % 0.40/0.84 (step @p2896 :rule cong :premises (@p2895) :args (@t1572)) % 0.40/0.84 (step @p2897 :rule cong :premises (@p2896) :args (@t1573)) % 0.40/0.84 (step @p2898 :rule cong :premises (@p2897) :args ((lambda @t150 @t1573))) % 0.40/0.84 (step @p2899 :rule ho_cong :premises (@p2898 @p2889)) % 0.40/0.84 (step @p2900 :rule trans :premises (@p2899 @p2888)) % 0.40/0.84 (step @p2901 :rule refl :args (@t77)) % 0.40/0.84 (step @p2902 :rule alpha_equiv :args (@t582 @t1001 (@list @t807))) % 0.40/0.84 (step @p2903 :rule cong :premises (@p2902) :args (@t583)) % 0.40/0.84 (step @p2904 :rule cong :premises (@p2903) :args (@t1027)) % 0.40/0.84 (step @p2905 :rule ho_cong :premises (@p2904 @p2901)) % 0.40/0.84 (step @p2906 :rule trans :premises (@p2905 @p2900)) % 0.40/0.84 (step @p2907 :rule cong :premises (@p604 @p2906) :args (@t1574)) % 0.40/0.84 (step @p2908 :rule cong :premises (@p2907) :args (@t1575)) % 0.40/0.84 (step @p2909 :rule trans :premises (@p2908 @p2855)) % 0.40/0.84 (step @p2910 :rule cong :premises (@p2909 @p2849) :args (@t1576)) % 0.40/0.84 (step @p2911 :rule cong :premises (@p2910) :args (@t1577)) % 0.40/0.84 (step @p2912 :rule trans :premises (@p2911 @p2825)) % 0.40/0.84 (step @p2913 :rule refl :args (tptp.replAx)) % 0.40/0.84 (step @p2914 :rule cong :premises (@p2913 @p2912) :args ((= tptp.replAx @t1577))) % 0.40/0.84 (step @p2915 :rule refl :args (@t74)) % 0.40/0.84 (step @p2916 :rule ho_cong :premises (@p800 @p2889)) % 0.40/0.84 (step @p2917 :rule cong :premises (@p604 @p2916) :args (@t78)) % 0.40/0.84 (step @p2918 :rule cong :premises (@p2917) :args (@t79)) % 0.40/0.84 (step @p2919 :rule cong :premises (@p2918 @p2915) :args (@t80)) % 0.40/0.84 (step @p2920 :rule cong :premises (@p2919) :args (@t82)) % 0.40/0.84 (step @p2921 :rule cong :premises (@p2913 @p2920) :args (@t83)) % 0.40/0.84 (step @p2922 :rule trans :premises (@p2921 @p2914)) % 0.40/0.84 (step @p2923 :rule eq_resolve :premises (@p9 @p2922)) % 0.40/0.84 (step @p2924 :rule cong :premises (@p2923 @p2823) :args (@t1578)) % 0.40/0.84 (step @p2925 :rule aci_norm :args ((= @t1580 @t828))) % 0.40/0.84 (step @p2926 :rule cong :premises (@p2925) :args (@t1581)) % 0.40/0.84 (step @p2927 :rule quant-merge-prenex :args ((= (forall @t64 @t1583) @t1581))) % 0.40/0.84 (step @p2928 :rule alpha_equiv :args (@t1584 (@list @t817) @t1001)) % 0.40/0.84 (step @p2929 :rule refl :args (@t825)) % 0.40/0.84 (step @p2930 :rule refl :args (@t827)) % 0.40/0.84 (step @p2931 :rule nary_cong :premises (@p2930 @p2929 @p2928) :args (@t1585)) % 0.40/0.84 (step @p2932 :rule quant-miniscope-or :args ((= @t1583 @t1585))) % 0.40/0.84 (step @p2933 :rule trans :premises (@p2932 @p2931)) % 0.40/0.84 (step @p2934 :rule symm :premises (@p2933)) % 0.40/0.84 (step @p2935 :rule cong :premises (@p2934) :args ((forall @t64 (or @t827 @t825 @t1586)))) % 0.40/0.84 (step @p2936 :rule trans :premises (@p2935 @p2927)) % 0.40/0.84 (step @p2937 :rule trans :premises (@p2936 @p2926)) % 0.40/0.84 (step @p2938 :rule refl :args (@t1586)) % 0.40/0.84 (step @p2939 :rule refl :args (@t826)) % 0.40/0.84 (step @p2940 :rule refl :args (@t61)) % 0.40/0.84 (step @p2941 :rule cong :premises (@p2940 @p2939) :args ((= @t61 @t826))) % 0.40/0.84 (step @p2942 :rule symm :premises (@p2941)) % 0.40/0.84 (step @p2943 :rule eq_resolve :premises (@p2940 @p2942)) % 0.40/0.84 (step @p2944 :rule cong :premises (@p2943) :args (@t1587)) % 0.40/0.84 (step @p2945 :rule nary_cong :premises (@p2944 @p2929 @p2938) :args (@t1588)) % 0.40/0.84 (step @p2946 :rule cong :premises (@p2945) :args ((forall @t64 @t1588))) % 0.40/0.84 (step @p2947 :rule trans :premises (@p2946 @p2937)) % 0.40/0.84 (step @p2948 :rule aci_norm :args ((= (or (or @t1587 @t825) @t1586) @t1588))) % 0.40/0.84 (step @p2949 :rule bool-and-de-morgan :args (@t61 @t824 true)) % 0.40/0.84 (step @p2950 :rule nary_cong :premises (@p2949 @p2938) :args ((or (not @t1589) @t1586))) % 0.40/0.84 (step @p2951 :rule trans :premises (@p2950 @p2948)) % 0.40/0.84 (step @p2952 :rule bool-impl-elim :args (@t1589 @t1586)) % 0.40/0.84 (step @p2953 :rule trans :premises (@p2952 @p2951)) % 0.40/0.84 (step @p2954 :rule cong :premises (@p2953) :args ((forall @t64 (=> @t1589 @t1586)))) % 0.40/0.84 (step @p2955 :rule trans :premises (@p2954 @p2947)) % 0.40/0.84 (step @p2956 :rule refl :args (@t822)) % 0.40/0.84 (step @p2957 :rule refl :args (@t54)) % 0.40/0.84 (step @p2958 :rule cong :premises (@p2957 @p2956) :args ((= @t54 @t822))) % 0.40/0.84 (step @p2959 :rule symm :premises (@p2958)) % 0.40/0.84 (step @p2960 :rule eq_resolve :premises (@p2957 @p2959)) % 0.40/0.84 (step @p2961 :rule cong :premises (@p2960) :args (@t1590)) % 0.40/0.84 (step @p2962 :rule nary_cong :premises (@p2961 @p324) :args (@t1591)) % 0.40/0.84 (step @p2963 :rule cong :premises (@p2962) :args ((forall @t9 @t1591))) % 0.40/0.84 (step @p2964 :rule bool-impl-elim :args (@t54 @t7)) % 0.40/0.84 (step @p2965 :rule cong :premises (@p2964) :args (@t57)) % 0.40/0.84 (step @p2966 :rule trans :premises (@p2965 @p2963)) % 0.40/0.84 (step @p2967 :rule refl :args ((tptp.in @t51 @t2))) % 0.40/0.84 (step @p2968 :rule refl :args (@t820)) % 0.40/0.84 (step @p2969 :rule cong :premises (@p2968 @p526) :args (@t821)) % 0.40/0.84 (step @p2970 :rule trans :premises (@p2969 @p2967)) % 0.40/0.84 (step @p2971 :rule refl :args (tptp.in)) % 0.40/0.84 (step @p2972 :rule ho_cong :premises (@p2971 @p2968)) % 0.40/0.84 (step @p2973 :rule ho_cong :premises (@p2972 @p526)) % 0.40/0.84 (step @p2974 :rule cong :premises (@p2973 @p2970) :args ((= (_ @t1592 @t2) @t821))) % 0.40/0.84 (step @p2975 :rule symm :premises (@p2974)) % 0.40/0.84 (step @p2976 :rule refl :args (@t58)) % 0.40/0.84 (step @p2977 :rule eq_resolve :premises (@p2976 @p2975)) % 0.40/0.84 (step @p2978 :rule refl :args (@t51)) % 0.40/0.84 (step @p2979 :rule cong :premises (@p2978 @p2968) :args ((= @t51 @t820))) % 0.40/0.84 (step @p2980 :rule symm :premises (@p2979)) % 0.40/0.84 (step @p2981 :rule eq_resolve :premises (@p2978 @p2980)) % 0.40/0.84 (step @p2982 :rule ho_cong :premises (@p2971 @p2981)) % 0.40/0.84 (step @p2983 :rule ho_cong :premises (@p2982 @p526)) % 0.40/0.84 (step @p2984 :rule trans :premises (@p2983 @p2977)) % 0.40/0.84 (step @p2985 :rule nary_cong :premises (@p2961 @p325 @p2984) :args (@t1593)) % 0.40/0.84 (step @p2986 :rule cong :premises (@p2985) :args ((forall @t9 @t1593))) % 0.40/0.84 (step @p2987 :rule aci_norm :args ((= (or (or @t1590 @t197) @t58) @t1593))) % 0.40/0.84 (step @p2988 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 0.40/0.84 (step @p2989 :rule nary_cong :premises (@p2988 @p2976) :args ((or (not @t59) @t58))) % 0.40/0.84 (step @p2990 :rule trans :premises (@p2989 @p2987)) % 0.40/0.84 (step @p2991 :rule bool-impl-elim :args (@t59 @t58)) % 0.40/0.84 (step @p2992 :rule trans :premises (@p2991 @p2990)) % 0.40/0.84 (step @p2993 :rule cong :premises (@p2992) :args (@t60)) % 0.40/0.84 (step @p2994 :rule trans :premises (@p2993 @p2986)) % 0.40/0.84 (step @p2995 :rule refl :args (@t61)) % 0.40/0.84 (step @p2996 :rule nary_cong :premises (@p2995 @p2994) :args (@t62)) % 0.40/0.84 (step @p2997 :rule cong :premises (@p2996 @p2966) :args (@t63)) % 0.40/0.84 (step @p2998 :rule cong :premises (@p2997) :args (@t65)) % 0.40/0.84 (step @p2999 :rule trans :premises (@p2998 @p2955)) % 0.40/0.84 (step @p3000 :rule refl :args (tptp.omegaIndAx)) % 0.40/0.84 (step @p3001 :rule cong :premises (@p3000 @p2999) :args (@t66)) % 0.40/0.84 (step @p3002 :rule eq_resolve :premises (@p8 @p3001)) % 0.40/0.84 (step @p3003 :rule cong :premises (@p3002 @p2924) :args (@t1594)) % 0.40/0.84 (step @p3004 :rule refl :args ((tptp.in @t51 tptp.omega))) % 0.40/0.84 (step @p3005 :rule refl :args (tptp.omega)) % 0.40/0.84 (step @p3006 :rule cong :premises (@p2968 @p3005) :args (@t832)) % 0.40/0.84 (step @p3007 :rule trans :premises (@p3006 @p3004)) % 0.40/0.84 (step @p3008 :rule ho_cong :premises (@p2972 @p3005)) % 0.40/0.84 (step @p3009 :rule cong :premises (@p3008 @p3007) :args ((= (_ @t1592 tptp.omega) @t832))) % 0.40/0.84 (step @p3010 :rule symm :premises (@p3009)) % 0.40/0.84 (step @p3011 :rule refl :args (@t53)) % 0.40/0.84 (step @p3012 :rule eq_resolve :premises (@p3011 @p3010)) % 0.40/0.84 (step @p3013 :rule ho_cong :premises (@p2982 @p3005)) % 0.40/0.84 (step @p3014 :rule trans :premises (@p3013 @p3012)) % 0.40/0.84 (step @p3015 :rule nary_cong :premises (@p2961 @p3014) :args (@t1595)) % 0.40/0.84 (step @p3016 :rule cong :premises (@p3015) :args ((forall @t9 @t1595))) % 0.40/0.84 (step @p3017 :rule bool-impl-elim :args (@t54 @t53)) % 0.40/0.84 (step @p3018 :rule cong :premises (@p3017) :args (@t55)) % 0.40/0.84 (step @p3019 :rule trans :premises (@p3018 @p3016)) % 0.40/0.84 (step @p3020 :rule refl :args (tptp.omegaSAx)) % 0.40/0.84 (step @p3021 :rule cong :premises (@p3020 @p3019) :args (@t56)) % 0.40/0.84 (step @p3022 :rule eq_resolve :premises (@p7 @p3021)) % 0.40/0.84 (step @p3023 :rule cong :premises (@p3022 @p3003) :args (@t1596)) % 0.40/0.84 (step @p3024 :rule cong :premises (@p6 @p3023) :args (@t1597)) % 0.40/0.84 (step @p3025 :rule eq-symm :args (@t661 @t660)) % 0.40/0.84 (step @p3026 :rule cong :premises (@p3025) :args ((forall @t46 (= @t661 @t660)))) % 0.40/0.84 (step @p3027 :rule cong :premises (@p1821 @p1811) :args (@t1598)) % 0.40/0.84 (step @p3028 :rule cong :premises (@p3027) :args ((forall @t46 @t1598))) % 0.40/0.84 (step @p3029 :rule trans :premises (@p3028 @p3026)) % 0.40/0.84 (step @p3030 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 0.40/0.84 (step @p3031 :rule cong :premises (@p3030) :args (@t1599)) % 0.40/0.84 (step @p3032 :rule trans :premises (@p3031 @p1865)) % 0.40/0.84 (step @p3033 :rule cong :premises (@p3032) :args (@t1600)) % 0.40/0.84 (step @p3034 :rule exists-elim :args ((= @t42 @t1600))) % 0.40/0.84 (step @p3035 :rule trans :premises (@p3034 @p3033)) % 0.40/0.84 (step @p3036 :rule cong :premises (@p1884 @p3035) :args (@t45)) % 0.40/0.84 (step @p3037 :rule cong :premises (@p3036) :args (@t47)) % 0.40/0.84 (step @p3038 :rule trans :premises (@p3037 @p3029)) % 0.40/0.84 (step @p3039 :rule refl :args (tptp.setunionAx)) % 0.40/0.84 (step @p3040 :rule cong :premises (@p3039 @p3038) :args (@t48)) % 0.40/0.84 (step @p3041 :rule eq_resolve :premises (@p5 @p3040)) % 0.40/0.84 (step @p3042 :rule cong :premises (@p3041 @p3024) :args (@t1601)) % 0.40/0.84 (step @p3043 :rule eq-symm :args (@t667 @t674)) % 0.40/0.84 (step @p3044 :rule cong :premises (@p3043) :args ((forall @t12 (= @t667 @t674)))) % 0.40/0.84 (step @p3045 :rule refl :args (@t674)) % 0.40/0.84 (step @p3046 :rule cong :premises (@p1916 @p3045) :args (@t1602)) % 0.40/0.84 (step @p3047 :rule cong :premises (@p3046) :args ((forall @t12 @t1602))) % 0.40/0.84 (step @p3048 :rule trans :premises (@p3047 @p3044)) % 0.40/0.84 (step @p3049 :rule cong :premises (@p1962 @p1966) :args (@t36)) % 0.40/0.84 (step @p3050 :rule cong :premises (@p3049) :args (@t37)) % 0.40/0.84 (step @p3051 :rule trans :premises (@p3050 @p3048)) % 0.40/0.84 (step @p3052 :rule refl :args (tptp.powersetAx)) % 0.40/0.84 (step @p3053 :rule cong :premises (@p3052 @p3051) :args (@t38)) % 0.40/0.84 (step @p3054 :rule eq_resolve :premises (@p4 @p3053)) % 0.40/0.84 (step @p3055 :rule cong :premises (@p3054 @p3042) :args (@t1603)) % 0.40/0.84 (step @p3056 :rule nary_cong :premises (@p710 @p2003) :args (@t1342)) % 0.40/0.84 (step @p3057 :rule cong :premises (@p2018 @p3056) :args (@t1604)) % 0.40/0.84 (step @p3058 :rule cong :premises (@p3057) :args ((forall @t28 @t1604))) % 0.40/0.84 (step @p3059 :rule cong :premises (@p2029 @p2028) :args (@t27)) % 0.40/0.84 (step @p3060 :rule cong :premises (@p3059) :args (@t29)) % 0.40/0.84 (step @p3061 :rule trans :premises (@p3060 @p3058)) % 0.40/0.84 (step @p3062 :rule refl :args (tptp.setadjoinAx)) % 0.40/0.84 (step @p3063 :rule cong :premises (@p3062 @p3061) :args (@t30)) % 0.40/0.84 (step @p3064 :rule eq_resolve :premises (@p3 @p3063)) % 0.40/0.84 (step @p3065 :rule cong :premises (@p3064 @p3055) :args (@t1605)) % 0.40/0.84 (step @p3066 :rule refl :args (tptp.emptysetAx)) % 0.40/0.84 (step @p3067 :rule cong :premises (@p3066 @p2333) :args (@t18)) % 0.40/0.84 (step @p3068 :rule eq_resolve :premises (@p2 @p3067)) % 0.40/0.84 (step @p3069 :rule cong :premises (@p3068 @p3065) :args (@t1606)) % 0.40/0.84 (step @p3070 :rule bool-impl-elim :args (@t845 @t3)) % 0.40/0.84 (step @p3071 :rule cong :premises (@p3070) :args ((forall @t12 (=> @t845 @t3)))) % 0.40/0.84 (step @p3072 :rule cong :premises (@p324 @p330) :args (@t8)) % 0.40/0.84 (step @p3073 :rule cong :premises (@p3072) :args (@t10)) % 0.40/0.84 (step @p3074 :rule cong :premises (@p3073 @p611) :args (@t11)) % 0.40/0.84 (step @p3075 :rule cong :premises (@p3074) :args (@t13)) % 0.40/0.84 (step @p3076 :rule trans :premises (@p3075 @p3071)) % 0.40/0.84 (step @p3077 :rule refl :args (tptp.setextAx)) % 0.40/0.84 (step @p3078 :rule cong :premises (@p3077 @p3076) :args (@t14)) % 0.40/0.84 (step @p3079 :rule eq_resolve :premises (@p1 @p3078)) % 0.40/0.84 (step @p3080 :rule cong :premises (@p3079 @p3069) :args (@t1607)) % 0.40/0.84 (step @p3081 :rule cong :premises (@p3080) :args ((not @t1607))) % 0.40/0.84 (step @p3082 :rule trans :premises (@p3081 @p318)) % 0.40/0.84 (step @p3083 :rule nary_cong :premises (@p325 @p330 @p336) :args (@t1608)) % 0.40/0.84 (step @p3084 :rule cong :premises (@p3083) :args ((forall @t245 @t1608))) % 0.40/0.84 (step @p3085 :rule aci_norm :args ((= (or @t197 (or @t6 @t436)) @t1608))) % 0.40/0.84 (step @p3086 :rule nary_cong :premises (@p341 @p345) :args ((or @t916 @t436))) % 0.40/0.84 (step @p3087 :rule bool-impl-elim :args (@t432 @t436)) % 0.40/0.84 (step @p3088 :rule trans :premises (@p3087 @p3086)) % 0.40/0.84 (step @p3089 :rule nary_cong :premises (@p340 @p3088) :args ((or @t197 @t437))) % 0.40/0.84 (step @p3090 :rule trans :premises (@p3089 @p3085)) % 0.40/0.84 (step @p3091 :rule bool-impl-elim :args (@t7 @t437)) % 0.40/0.84 (step @p3092 :rule trans :premises (@p3091 @p3090)) % 0.40/0.84 (step @p3093 :rule cong :premises (@p3092) :args (@t438)) % 0.40/0.84 (step @p3094 :rule trans :premises (@p3093 @p3084)) % 0.40/0.84 (step @p3095 :rule cong :premises (@p352 @p3094) :args (@t439)) % 0.40/0.84 (step @p3096 :rule cong :premises (@p366 @p3095) :args (@t440)) % 0.40/0.84 (step @p3097 :rule cong :premises (@p376 @p3096) :args (@t441)) % 0.40/0.84 (step @p3098 :rule cong :premises (@p381 @p3097) :args (@t442)) % 0.40/0.84 (step @p3099 :rule cong :premises (@p428 @p3098) :args (@t443)) % 0.40/0.84 (step @p3100 :rule cong :premises (@p453 @p3099) :args (@t444)) % 0.40/0.84 (step @p3101 :rule cong :premises (@p457 @p3100) :args (@t445)) % 0.40/0.84 (step @p3102 :rule cong :premises (@p615 @p3101) :args (@t446)) % 0.40/0.84 (step @p3103 :rule cong :premises (@p783 @p3102) :args (@t447)) % 0.40/0.84 (step @p3104 :rule cong :premises (@p854 @p3103) :args (@t448)) % 0.40/0.84 (step @p3105 :rule cong :premises (@p866 @p3104) :args (@t449)) % 0.40/0.84 (step @p3106 :rule cong :premises (@p908 @p3105) :args (@t450)) % 0.40/0.84 (step @p3107 :rule cong :premises (@p948 @p3106) :args (@t451)) % 0.40/0.84 (step @p3108 :rule cong :premises (@p1023 @p3107) :args (@t452)) % 0.40/0.84 (step @p3109 :rule cong :premises (@p1032 @p3108) :args (@t453)) % 0.40/0.84 (step @p3110 :rule cong :premises (@p1044 @p3109) :args (@t454)) % 0.40/0.84 (step @p3111 :rule cong :premises (@p1053 @p3110) :args (@t455)) % 0.40/0.84 (step @p3112 :rule cong :premises (@p1114 @p3111) :args (@t456)) % 0.40/0.84 (step @p3113 :rule cong :premises (@p1188 @p3112) :args (@t457)) % 0.40/0.84 (step @p3114 :rule cong :premises (@p1236 @p3113) :args (@t458)) % 0.40/0.84 (step @p3115 :rule cong :premises (@p1275 @p3114) :args (@t459)) % 0.40/0.84 (step @p3116 :rule cong :premises (@p1298 @p3115) :args (@t460)) % 0.40/0.84 (step @p3117 :rule cong :premises (@p1314 @p3116) :args (@t461)) % 0.40/0.84 (step @p3118 :rule cong :premises (@p1355 @p3117) :args (@t462)) % 0.40/0.84 (step @p3119 :rule cong :premises (@p1422 @p3118) :args (@t463)) % 0.40/0.84 (step @p3120 :rule cong :premises (@p1453 @p3119) :args (@t464)) % 0.40/0.84 (step @p3121 :rule cong :premises (@p1462 @p3120) :args (@t465)) % 0.40/0.84 (step @p3122 :rule cong :premises (@p1470 @p3121) :args (@t466)) % 0.40/0.84 (step @p3123 :rule cong :premises (@p1481 @p3122) :args (@t467)) % 0.40/0.84 (step @p3124 :rule cong :premises (@p1489 @p3123) :args (@t468)) % 0.40/0.84 (step @p3125 :rule cong :premises (@p1506 @p3124) :args (@t469)) % 0.40/0.84 (step @p3126 :rule cong :premises (@p1548 @p3125) :args (@t470)) % 0.40/0.84 (step @p3127 :rule cong :premises (@p1582 @p3126) :args (@t471)) % 0.40/0.84 (step @p3128 :rule cong :premises (@p1598 @p3127) :args (@t472)) % 0.40/0.84 (step @p3129 :rule cong :premises (@p1631 @p3128) :args (@t473)) % 0.40/0.84 (step @p3130 :rule cong :premises (@p1666 @p3129) :args (@t474)) % 0.40/0.84 (step @p3131 :rule cong :premises (@p1691 @p3130) :args (@t475)) % 0.40/0.84 (step @p3132 :rule cong :premises (@p1705 @p3131) :args (@t476)) % 0.40/0.84 (step @p3133 :rule cong :premises (@p1714 @p3132) :args (@t477)) % 0.40/0.84 (step @p3134 :rule cong :premises (@p1735 @p3133) :args (@t478)) % 0.40/0.84 (step @p3135 :rule cong :premises (@p1773 @p3134) :args (@t479)) % 0.40/0.84 (step @p3136 :rule cong :premises (@p1807 @p3135) :args (@t480)) % 0.40/0.84 (step @p3137 :rule cong :premises (@p1888 @p3136) :args (@t481)) % 0.40/0.84 (step @p3138 :rule cong :premises (@p1902 @p3137) :args (@t482)) % 0.40/0.84 (step @p3139 :rule cong :premises (@p1929 @p3138) :args (@t483)) % 0.40/0.84 (step @p3140 :rule cong :premises (@p1934 @p3139) :args (@t484)) % 0.40/0.84 (step @p3141 :rule cong :premises (@p1952 @p3140) :args (@t485)) % 0.40/0.84 (step @p3142 :rule cong :premises (@p1970 @p3141) :args (@t486)) % 0.40/0.84 (step @p3143 :rule cong :premises (@p1995 @p3142) :args (@t487)) % 0.40/0.84 (step @p3144 :rule cong :premises (@p2033 @p3143) :args (@t488)) % 0.40/0.84 (step @p3145 :rule cong :premises (@p2088 @p3144) :args (@t489)) % 0.40/0.84 (step @p3146 :rule cong :premises (@p2098 @p3145) :args (@t490)) % 0.40/0.84 (step @p3147 :rule refl :args (tptp.emptyinunitempty)) % 0.40/0.84 (step @p3148 :rule cong :premises (@p3147 @p3146) :args (@t491)) % 0.40/0.84 (step @p3149 :rule cong :premises (@p2119 @p3148) :args (@t492)) % 0.40/0.84 (step @p3150 :rule cong :premises (@p2159 @p3149) :args (@t493)) % 0.40/0.84 (step @p3151 :rule cong :premises (@p2209 @p3150) :args (@t494)) % 0.40/0.84 (step @p3152 :rule cong :premises (@p2223 @p3151) :args (@t495)) % 0.40/0.84 (step @p3153 :rule cong :premises (@p2258 @p3152) :args (@t496)) % 0.40/0.84 (step @p3154 :rule cong :premises (@p2263 @p3153) :args (@t497)) % 0.40/0.84 (step @p3155 :rule cong :premises (@p2276 @p3154) :args (@t498)) % 0.40/0.84 (step @p3156 :rule cong :premises (@p2291 @p3155) :args (@t499)) % 0.40/0.84 (step @p3157 :rule cong :premises (@p2323 @p3156) :args (@t500)) % 0.40/0.84 (step @p3158 :rule cong :premises (@p2332 @p3157) :args (@t501)) % 0.40/0.84 (step @p3159 :rule cong :premises (@p2343 @p3158) :args (@t502)) % 0.40/0.84 (step @p3160 :rule cong :premises (@p2358 @p3159) :args (@t503)) % 0.40/0.84 (step @p3161 :rule cong :premises (@p2394 @p3160) :args (@t504)) % 0.40/0.84 (step @p3162 :rule cong :premises (@p2403 @p3161) :args (@t505)) % 0.40/0.84 (step @p3163 :rule cong :premises (@p2423 @p3162) :args (@t506)) % 0.40/0.84 (step @p3164 :rule cong :premises (@p2436 @p3163) :args (@t507)) % 0.40/0.84 (step @p3165 :rule cong :premises (@p2453 @p3164) :args (@t508)) % 0.40/0.84 (step @p3166 :rule cong :premises (@p2504 @p3165) :args (@t509)) % 0.40/0.84 (step @p3167 :rule cong :premises (@p2775 @p3166) :args (@t510)) % 0.40/0.84 (step @p3168 :rule cong :premises (@p2820 @p3167) :args (@t511)) % 0.40/0.84 (step @p3169 :rule cong :premises (@p2913 @p3168) :args (@t512)) % 0.40/0.84 (step @p3170 :rule cong :premises (@p3000 @p3169) :args (@t513)) % 0.40/0.84 (step @p3171 :rule cong :premises (@p3020 @p3170) :args (@t514)) % 0.40/0.84 (step @p3172 :rule refl :args (tptp.omega0Ax)) % 0.40/0.84 (step @p3173 :rule cong :premises (@p3172 @p3171) :args (@t515)) % 0.40/0.84 (step @p3174 :rule cong :premises (@p3039 @p3173) :args (@t516)) % 0.40/0.84 (step @p3175 :rule cong :premises (@p3052 @p3174) :args (@t517)) % 0.40/0.84 (step @p3176 :rule cong :premises (@p3062 @p3175) :args (@t518)) % 0.40/0.84 (step @p3177 :rule cong :premises (@p3066 @p3176) :args (@t519)) % 0.40/0.84 (step @p3178 :rule cong :premises (@p3077 @p3177) :args (@t520)) % 0.40/0.84 (step @p3179 :rule cong :premises (@p3178) :args (@t521)) % 0.40/0.84 (step @p3180 :rule trans :premises (@p3179 @p3082 @p212)) % 0.40/0.84 (step @p3181 :rule eq_resolve :premises (@p83 @p3180)) % 0.40/0.84 (step @p3182 :rule not_implies_elim2 :premises (@p3181)) % 0.40/0.84 (step @p3183 :rule not_implies_elim2 :premises (@p3182)) % 0.40/0.84 (step @p3184 :rule not_implies_elim2 :premises (@p3183)) % 0.40/0.84 (step @p3185 :rule not_implies_elim2 :premises (@p3184)) % 0.40/0.84 (step @p3186 :rule not_implies_elim2 :premises (@p3185)) % 0.40/0.84 (step @p3187 :rule not_implies_elim2 :premises (@p3186)) % 0.40/0.84 (step @p3188 :rule not_implies_elim2 :premises (@p3187)) % 0.40/0.84 (step @p3189 :rule not_implies_elim2 :premises (@p3188)) % 0.40/0.84 (step @p3190 :rule not_implies_elim2 :premises (@p3189)) % 0.40/0.84 (step @p3191 :rule not_implies_elim2 :premises (@p3190)) % 0.40/0.84 (step @p3192 :rule not_implies_elim2 :premises (@p3191)) % 0.40/0.84 (step @p3193 :rule not_implies_elim2 :premises (@p3192)) % 0.40/0.84 (step @p3194 :rule not_implies_elim2 :premises (@p3193)) % 0.40/0.84 (step @p3195 :rule not_implies_elim2 :premises (@p3194)) % 0.40/0.84 (step @p3196 :rule not_implies_elim2 :premises (@p3195)) % 0.40/0.84 (step @p3197 :rule not_implies_elim2 :premises (@p3196)) % 0.40/0.84 (step @p3198 :rule not_implies_elim2 :premises (@p3197)) % 0.40/0.84 (step @p3199 :rule not_implies_elim2 :premises (@p3198)) % 0.40/0.84 (step @p3200 :rule not_implies_elim2 :premises (@p3199)) % 0.40/0.84 (step @p3201 :rule not_implies_elim2 :premises (@p3200)) % 0.40/0.84 (step @p3202 :rule not_implies_elim2 :premises (@p3201)) % 0.40/0.84 (step @p3203 :rule not_implies_elim2 :premises (@p3202)) % 0.40/0.84 (step @p3204 :rule not_implies_elim2 :premises (@p3203)) % 0.40/0.84 (step @p3205 :rule not_implies_elim2 :premises (@p3204)) % 0.40/0.84 (step @p3206 :rule not_implies_elim2 :premises (@p3205)) % 0.40/0.84 (step @p3207 :rule not_implies_elim2 :premises (@p3206)) % 0.40/0.84 (step @p3208 :rule not_implies_elim2 :premises (@p3207)) % 0.40/0.84 (step @p3209 :rule not_implies_elim2 :premises (@p3208)) % 0.40/0.84 (step @p3210 :rule not_implies_elim2 :premises (@p3209)) % 0.40/0.84 (step @p3211 :rule not_implies_elim2 :premises (@p3210)) % 0.40/0.84 (step @p3212 :rule not_implies_elim2 :premises (@p3211)) % 0.40/0.84 (step @p3213 :rule not_implies_elim2 :premises (@p3212)) % 0.40/0.84 (step @p3214 :rule not_implies_elim2 :premises (@p3213)) % 0.40/0.84 (step @p3215 :rule not_implies_elim2 :premises (@p3214)) % 0.40/0.84 (step @p3216 :rule not_implies_elim2 :premises (@p3215)) % 0.40/0.84 (step @p3217 :rule not_implies_elim2 :premises (@p3216)) % 0.40/0.84 (step @p3218 :rule not_implies_elim2 :premises (@p3217)) % 0.40/0.84 (step @p3219 :rule not_implies_elim2 :premises (@p3218)) % 0.40/0.84 (step @p3220 :rule not_implies_elim2 :premises (@p3219)) % 0.40/0.84 (step @p3221 :rule not_implies_elim2 :premises (@p3220)) % 0.40/0.84 (step @p3222 :rule not_implies_elim2 :premises (@p3221)) % 0.40/0.84 (step @p3223 :rule not_implies_elim2 :premises (@p3222)) % 0.40/0.84 (step @p3224 :rule not_implies_elim2 :premises (@p3223)) % 0.40/0.84 (step @p3225 :rule not_implies_elim2 :premises (@p3224)) % 0.40/0.84 (step @p3226 :rule not_implies_elim2 :premises (@p3225)) % 0.40/0.84 (step @p3227 :rule not_implies_elim2 :premises (@p3226)) % 0.40/0.84 (step @p3228 :rule not_implies_elim2 :premises (@p3227)) % 0.40/0.84 (step @p3229 :rule not_implies_elim2 :premises (@p3228)) % 0.40/0.84 (step @p3230 :rule not_implies_elim2 :premises (@p3229)) % 0.40/0.84 (step @p3231 :rule not_implies_elim2 :premises (@p3230)) % 0.40/0.84 (step @p3232 :rule not_implies_elim2 :premises (@p3231)) % 0.40/0.84 (step @p3233 :rule not_implies_elim2 :premises (@p3232)) % 0.40/0.84 (step @p3234 :rule not_implies_elim2 :premises (@p3233)) % 0.40/0.84 (step @p3235 :rule not_implies_elim2 :premises (@p3234)) % 0.40/0.84 (step @p3236 :rule not_implies_elim2 :premises (@p3235)) % 0.40/0.84 (step @p3237 :rule not_implies_elim2 :premises (@p3236)) % 0.40/0.84 (step @p3238 :rule not_implies_elim2 :premises (@p3237)) % 0.40/0.84 (step @p3239 :rule not_implies_elim2 :premises (@p3238)) % 0.40/0.84 (step @p3240 :rule not_implies_elim2 :premises (@p3239)) % 0.40/0.84 (step @p3241 :rule not_implies_elim2 :premises (@p3240)) % 0.40/0.84 (step @p3242 :rule not_implies_elim2 :premises (@p3241)) % 0.40/0.84 (step @p3243 :rule not_implies_elim2 :premises (@p3242)) % 0.40/0.84 (step @p3244 :rule not_implies_elim2 :premises (@p3243)) % 0.40/0.84 (step @p3245 :rule not_implies_elim2 :premises (@p3244)) % 0.40/0.84 (step @p3246 :rule not_implies_elim2 :premises (@p3245)) % 0.40/0.84 (step @p3247 :rule not_implies_elim1 :premises (@p3246)) % 0.40/0.84 (step @p3248 :rule aci_norm :args ((= @t529 @t531))) % 0.40/0.84 (step @p3249 :rule cong :premises (@p3248) :args (@t530)) % 0.40/0.84 (step @p3250 :rule true_intro :premises (@p3249)) % 0.40/0.84 (step @p3251 :rule eq-symm :args (@t532 @t530)) % 0.40/0.84 (step @p3252 :rule trans :premises (@p3251 @p3250)) % 0.40/0.84 (step @p3253 :rule true_elim :premises (@p3252)) % 0.40/0.84 (step @p3254 :rule equiv_elim1 :premises (@p3253)) % 0.40/0.84 (step @p3255 :rule reordering :premises (@p3254) :args ((or @t530 (not @t532)))) % 0.40/0.84 (step @p3256 :rule chain_m_resolution :premises (@p3255 @p3247) :args (@t530 @t1609 (@list @t532))) % 0.40/0.84 (step @p3257 :rule not_implies_elim2 :premises (@p3246)) % 0.40/0.84 (step @p3258 :rule not_implies_elim2 :premises (@p3257)) % 0.40/0.84 (step @p3259 false :rule chain_m_resolution :premises (@p3258 @p3256) :args (false @t1609 (@list @t530))) % 0.40/0.84 ) % 0.40/0.84 % SZS output end Proof % 0.40/0.84 % cvc5 exiting %------------------------------------------------------------------------------