%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU560^1 : 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 : n029.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 08:52:11 AM UTC 2026 % Result : Theorem 0.40s 0.66s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SEU560^1 : 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 % 0.17/0.35 % Computer : n029.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:42:02 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.53 %----Proving TH0 % 0.40/0.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.66 % SZS status Theorem % 0.40/0.66 % SZS output start Proof % 0.40/0.66 ( % 0.40/0.66 (declare-sort $$unsorted 0) % 0.40/0.66 (declare-const tptp.emptyset $$unsorted) % 0.40/0.66 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.66 (declare-const tptp.powerset__Cong Bool) % 0.40/0.66 (declare-const tptp.setadjoin__Cong Bool) % 0.40/0.66 (declare-const tptp.emptyset__Cong Bool) % 0.40/0.66 (declare-const tptp.exu__Cong Bool) % 0.40/0.66 (declare-const tptp.in__Cong Bool) % 0.40/0.66 (declare-const tptp.inCongP Bool) % 0.40/0.66 (declare-const tptp.exuI3 Bool) % 0.40/0.66 (declare-const tptp.exuI1 Bool) % 0.40/0.66 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.40/0.66 (declare-const tptp.quantDeMorgan3 Bool) % 0.40/0.66 (declare-const tptp.quantDeMorgan2 Bool) % 0.40/0.66 (declare-const tptp.dsetconstr__Cong Bool) % 0.40/0.66 (declare-const tptp.quantDeMorgan1 Bool) % 0.40/0.66 (declare-const tptp.vacuousDall Bool) % 0.40/0.66 (declare-const tptp.emptyE1 Bool) % 0.40/0.66 (declare-const tptp.exuE3e Bool) % 0.40/0.66 (declare-const tptp.emptysetE Bool) % 0.40/0.66 (declare-const tptp.omega__Cong Bool) % 0.40/0.66 (declare-const tptp.setadjoinIL Bool) % 0.40/0.66 (declare-const tptp.prop2setE Bool) % 0.40/0.66 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.40/0.66 (declare-const tptp.subsetI1 Bool) % 0.40/0.66 (declare-const tptp.dsetconstrEL Bool) % 0.40/0.66 (declare-const tptp.prop2setI Bool) % 0.40/0.66 (declare-const tptp.emptyinPowerset Bool) % 0.40/0.66 (declare-const tptp.dsetconstrI Bool) % 0.40/0.66 (declare-const tptp.setext Bool) % 0.40/0.66 (declare-const tptp.nonemptyImpWitness Bool) % 0.40/0.66 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.40/0.66 (declare-const tptp.wellorderingAx Bool) % 0.40/0.66 (declare-const tptp.replAx Bool) % 0.40/0.66 (declare-const tptp.upairsetE Bool) % 0.40/0.66 (declare-const tptp.setextAx Bool) % 0.40/0.66 (declare-const tptp.setadjoinOr Bool) % 0.40/0.66 (declare-const tptp.exuE3u Bool) % 0.40/0.66 (declare-const tptp.uniqinunit Bool) % 0.40/0.66 (declare-const tptp.foundationAx Bool) % 0.40/0.66 (declare-const tptp.emptysetimpfalse Bool) % 0.40/0.66 (declare-const tptp.notinemptyset Bool) % 0.40/0.66 (declare-const tptp.setadjoinIR Bool) % 0.40/0.66 (declare-const tptp.exuE2 Bool) % 0.40/0.66 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.66 (declare-const tptp.notdallE Bool) % 0.40/0.66 (declare-const tptp.dsetconstrER Bool) % 0.40/0.66 (declare-const tptp.emptyInPowerset Bool) % 0.40/0.66 (declare-const tptp.exuEu Bool) % 0.40/0.66 (declare-const tptp.setadjoinAx Bool) % 0.40/0.66 (declare-const tptp.nonemptyE1 Bool) % 0.40/0.66 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.66 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.66 (declare-const tptp.powersetAx Bool) % 0.40/0.66 (declare-const tptp.prop2set2propI Bool) % 0.40/0.66 (declare-const tptp.powersetE Bool) % 0.40/0.66 (declare-const tptp.omegaSAx Bool) % 0.40/0.66 (declare-const tptp.descrp Bool) % 0.40/0.66 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.40/0.66 (declare-const tptp.omega0Ax Bool) % 0.40/0.66 (declare-const tptp.setoftrueEq Bool) % 0.40/0.66 (declare-const tptp.setunionAx Bool) % 0.40/0.66 (declare-const tptp.omega $$unsorted) % 0.40/0.66 (declare-const tptp.omegaIndAx Bool) % 0.40/0.66 (declare-const tptp.quantDeMorgan4 Bool) % 0.40/0.66 (declare-const tptp.powersetI Bool) % 0.40/0.66 (declare-const tptp.emptyI Bool) % 0.40/0.66 (declare-const tptp.noeltsimpempty Bool) % 0.40/0.66 (declare-const tptp.eqinunit Bool) % 0.40/0.66 (declare-const tptp.upairsetIL Bool) % 0.40/0.66 (declare-const tptp.nonemptyI Bool) % 0.40/0.66 (declare-const tptp.emptysetAx Bool) % 0.40/0.66 (declare-const tptp.nonemptyI1 Bool) % 0.40/0.66 (declare-const tptp.descr__Cong Bool) % 0.40/0.66 (declare-const tptp.emptyinunitempty Bool) % 0.40/0.66 (declare-const tptp.setadjoinE Bool) % 0.40/0.66 (declare-const tptp.notdexE Bool) % 0.40/0.66 (declare-const tptp.setunionI Bool) % 0.40/0.66 (declare-const tptp.exuE1 Bool) % 0.40/0.66 (declare-const tptp.setunionE Bool) % 0.40/0.66 (declare-const tptp.exuI2 Bool) % 0.40/0.66 (declare-const tptp.subPowSU Bool) % 0.40/0.66 (declare-const tptp.notinsingleton Bool) % 0.40/0.66 (declare-const tptp.setbeta Bool) % 0.40/0.66 (declare-const tptp.singletonsswitch Bool) % 0.40/0.66 (declare-const tptp.setunion__Cong Bool) % 0.40/0.66 (declare-const tptp.upairsetIR Bool) % 0.40/0.66 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.40/0.66 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.40/0.66 (define tptp.subset () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.in _let_2))) (let ((_let_4 (@var "A" $$unsorted))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.40/0.66 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.66 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.66 (define @t3 () (= @t2 @t1)) % 0.40/0.66 (define @t4 () (@var "Xx" $$unsorted)) % 0.40/0.66 (define @t5 () (_ tptp.in @t4)) % 0.40/0.66 (define @t6 () (_ @t5 @t1)) % 0.40/0.66 (define @t7 () (_ @t5 @t2)) % 0.40/0.66 (define @t8 () (@list @t4)) % 0.40/0.66 (define @t9 () (@list @t2 @t1)) % 0.40/0.66 (define @t10 () (_ @t5 tptp.emptyset)) % 0.40/0.66 (define @t11 () (forall @t8 (not @t10))) % 0.40/0.66 (define @t12 () (@var "Xy" $$unsorted)) % 0.40/0.66 (define @t13 () (_ tptp.in @t12)) % 0.40/0.66 (define @t14 () (_ @t13 @t2)) % 0.40/0.66 (define @t15 () (= @t12 @t4)) % 0.40/0.66 (define @t16 () (or @t15 @t14)) % 0.40/0.66 (define @t17 () (_ tptp.setadjoin @t4)) % 0.40/0.66 (define @t18 () (_ @t13 (_ @t17 @t2))) % 0.40/0.66 (define @t19 () (@list @t4 @t2 @t12)) % 0.40/0.66 (define @t20 () (=> @t6 @t7)) % 0.40/0.66 (define @t21 () (forall @t8 @t20)) % 0.40/0.66 (define @t22 () (_ tptp.powerset @t2)) % 0.40/0.66 (define @t23 () (_ tptp.in @t1)) % 0.40/0.66 (define @t24 () (_ @t23 @t22)) % 0.40/0.66 (define @t25 () (_ @t23 @t2)) % 0.40/0.66 (define @t26 () (@list @t1)) % 0.40/0.66 (define @t27 () (_ tptp.setunion @t2)) % 0.40/0.66 (define @t28 () (_ @t5 @t27)) % 0.40/0.66 (define @t29 () (@list @t2 @t4)) % 0.40/0.66 (define @t30 () (_ tptp.in tptp.emptyset)) % 0.40/0.66 (define @t31 () (_ tptp.in (_ @t17 @t4))) % 0.40/0.66 (define @t32 () (_ @t5 tptp.omega)) % 0.40/0.66 (define @t33 () (@list @t2)) % 0.40/0.66 (define @t34 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.40/0.66 (define @t35 () (@list @t12)) % 0.40/0.66 (define @t36 () (exists @t8 @t7)) % 0.40/0.66 (define @t37 () (@var "E" $$unsorted)) % 0.40/0.66 (define @t38 () (@var "D" $$unsorted)) % 0.40/0.66 (define @t39 () (_ @t13 @t38)) % 0.40/0.66 (define @t40 () (@var "C" $$unsorted)) % 0.40/0.66 (define @t41 () (_ @t13 @t40)) % 0.40/0.66 (define @t42 () (_ @t5 @t40)) % 0.40/0.66 (define @t43 () (_ (_ tptp.in @t38) @t1)) % 0.40/0.66 (define @t44 () (forall @t8 (=> @t42 @t7))) % 0.40/0.66 (define @t45 () (@list @t40)) % 0.40/0.66 (define @t46 () (_ @t5 @t38)) % 0.40/0.66 (define @t47 () (_ (_ tptp.in @t40) @t1)) % 0.40/0.66 (define @t48 () (= @t4 @t12)) % 0.40/0.66 (define @t49 () (@list @t4 @t12)) % 0.40/0.66 (define @t50 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.66 (define @t51 () (_ @t50 @t4)) % 0.40/0.66 (define @t52 () (lambda @t8 @t51)) % 0.40/0.66 (define @t53 () (_ tptp.descr @t52)) % 0.40/0.66 (define @t54 () (_ tptp.exu @t52)) % 0.40/0.66 (define @t55 () (@list @t50)) % 0.40/0.66 (define @t56 () (_ @t50 @t12)) % 0.40/0.66 (define @t57 () (_ tptp.dsetconstr @t2)) % 0.40/0.66 (define @t58 () (_ @t57 (lambda @t35 @t56))) % 0.40/0.66 (define @t59 () (_ @t5 @t58)) % 0.40/0.66 (define @t60 () (@list @t2 @t50 @t4)) % 0.40/0.66 (define @t61 () (=> @t56 @t48)) % 0.40/0.66 (define @t62 () (exists @t8 (and @t51 (forall @t35 @t61)))) % 0.40/0.66 (define @t63 () (@var "Xphi" Bool)) % 0.40/0.66 (define @t64 () (_ tptp.prop2set @t63)) % 0.40/0.66 (define @t65 () (@list @t63)) % 0.40/0.66 (define @t66 () (exists @t8 @t51)) % 0.40/0.66 (define @t67 () (forall @t8 (=> @t7 @t6))) % 0.40/0.66 (define @t68 () (not @t7)) % 0.40/0.66 (define @t69 () (forall @t33 (=> (forall @t8 @t68) (= @t2 tptp.emptyset)))) % 0.40/0.66 (define @t70 () (_ tptp.nonempty @t2)) % 0.40/0.66 (define @t71 () (forall @t33 (_ @t30 @t22))) % 0.40/0.66 (define @t72 () (exists @t8 (forall @t35 (= @t56 @t15)))) % 0.40/0.66 (define @t73 () (_ tptp.setadjoin @t12)) % 0.40/0.66 (define @t74 () (_ @t73 tptp.emptyset)) % 0.40/0.66 (define @t75 () (_ @t5 @t74)) % 0.40/0.66 (define @t76 () (_ @t13 (_ @t17 tptp.emptyset))) % 0.40/0.66 (define @t77 () (@var "Xz" $$unsorted)) % 0.40/0.66 (define @t78 () (_ @t17 @t74)) % 0.40/0.66 (define @t79 () (_ @t57 @t52)) % 0.40/0.66 (define @t80 () (exists @t8 (and @t7 @t51))) % 0.40/0.66 (define @t81 () (@list @t2 @t50)) % 0.40/0.66 (define @t82 () (not @t51)) % 0.40/0.66 (define @t83 () (exists @t8 (and @t7 @t82))) % 0.40/0.66 (define @t84 () (not (forall @t8 (=> @t7 @t51)))) % 0.40/0.66 (define @t85 () (forall @t81 (=> @t84 @t83))) % 0.40/0.66 (define @t86 () (not @t80)) % 0.40/0.66 (define @t87 () (forall @t8 (=> @t7 @t82))) % 0.40/0.66 (define @t88 () (forall @t81 (=> @t86 @t87))) % 0.40/0.66 (define @t89 () (forall @t49 (=> @t51 @t61))) % 0.40/0.66 (define @t90 () (_ @t13 @t1)) % 0.40/0.66 (define @t91 () (forall @t55 (=> @t54 @t89))) % 0.40/0.66 (define @t92 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.40/0.66 (define @t93 () (lambda @t8 (_ @t92 @t4))) % 0.40/0.66 (define @t94 () (_ tptp.exu @t93)) % 0.40/0.66 (define @t95 () (=> @t48 (= @t51 (_ @t92 @t12)))) % 0.40/0.66 (define @t96 () (forall @t49 @t95)) % 0.40/0.66 (define @t97 () (@list @t50 @t92)) % 0.40/0.66 (define @t98 () (@var "Xu" $$unsorted)) % 0.40/0.66 (define @t99 () (=> @t3 (_ (_ tptp.subset @t1) @t2))) % 0.40/0.66 (define @t100 () (forall @t9 @t99)) % 0.40/0.66 (define @t101 () (=> tptp.subsetI1 @t100)) % 0.40/0.66 (define @t102 () (=> tptp.dsetconstr__Cong @t101)) % 0.40/0.66 (define @t103 () (=> tptp.descr__Cong @t102)) % 0.40/0.66 (define @t104 () (=> tptp.exuEu @t103)) % 0.40/0.66 (define @t105 () (=> tptp.omega__Cong @t104)) % 0.40/0.66 (define @t106 () (=> tptp.setunion__Cong @t105)) % 0.40/0.66 (define @t107 () (=> tptp.powerset__Cong @t106)) % 0.40/0.66 (define @t108 () (=> tptp.setadjoin__Cong @t107)) % 0.40/0.66 (define @t109 () (=> tptp.emptyset__Cong @t108)) % 0.40/0.66 (define @t110 () (=> tptp.exu__Cong @t109)) % 0.40/0.66 (define @t111 () (=> tptp.exuE3u @t110)) % 0.40/0.66 (define @t112 () (=> tptp.in__Cong @t111)) % 0.40/0.66 (define @t113 () (=> tptp.inCongP @t112)) % 0.40/0.66 (define @t114 () (=> tptp.exuI2 @t113)) % 0.40/0.66 (define @t115 () (=> tptp.exuI3 @t114)) % 0.40/0.66 (define @t116 () (=> tptp.exuI1 @t115)) % 0.40/0.66 (define @t117 () (=> tptp.notdallE @t116)) % 0.40/0.66 (define @t118 () (=> tptp.notdexE @t117)) % 0.40/0.66 (define @t119 () (=> tptp.prop2set2propI @t118)) % 0.40/0.66 (define @t120 () (=> tptp.prop2setI @t119)) % 0.40/0.66 (define @t121 () (=> tptp.quantDeMorgan4 @t120)) % 0.40/0.66 (define @t122 () (=> tptp.quantDeMorgan3 @t121)) % 0.40/0.66 (define @t123 () (=> tptp.quantDeMorgan2 @t122)) % 0.40/0.66 (define @t124 () (=> tptp.quantDeMorgan1 @t123)) % 0.40/0.66 (define @t125 () (=> tptp.vacuousDall @t124)) % 0.40/0.66 (define @t126 () (=> tptp.emptyE1 @t125)) % 0.40/0.66 (define @t127 () (=> tptp.upairsetIR @t126)) % 0.40/0.66 (define @t128 () (=> tptp.upairsetIL @t127)) % 0.40/0.66 (define @t129 () (=> tptp.upairsetE @t128)) % 0.40/0.66 (define @t130 () (=> tptp.singletonsswitch @t129)) % 0.40/0.66 (define @t131 () (=> tptp.eqinunit @t130)) % 0.40/0.66 (define @t132 () (=> tptp.notinsingleton @t131)) % 0.40/0.66 (define @t133 () (=> tptp.uniqinunit @t132)) % 0.40/0.66 (define @t134 () (=> tptp.nonemptyImpWitness @t133)) % 0.40/0.66 (define @t135 () (=> tptp.exuE2 @t134)) % 0.40/0.66 (define @t136 () (=> tptp.subPowSU @t135)) % 0.40/0.66 (define @t137 () (=> tptp.setunionE @t136)) % 0.40/0.66 (define @t138 () (=> tptp.setunionI @t137)) % 0.40/0.66 (define @t139 () (=> tptp.powersetE @t138)) % 0.40/0.66 (define @t140 () (=> tptp.emptyInPowerset @t139)) % 0.40/0.66 (define @t141 () (=> tptp.emptyinPowerset @t140)) % 0.40/0.66 (define @t142 () (=> tptp.powersetI @t141)) % 0.40/0.66 (define @t143 () (=> tptp.setoftrueEq @t142)) % 0.40/0.66 (define @t144 () (=> tptp.setadjoinOr @t143)) % 0.40/0.66 (define @t145 () (=> tptp.setadjoinE @t144)) % 0.40/0.66 (define @t146 () (=> tptp.setadjoinIR @t145)) % 0.40/0.66 (define @t147 () (=> tptp.emptyinunitempty @t146)) % 0.40/0.66 (define @t148 () (=> tptp.setadjoinIL @t147)) % 0.40/0.66 (define @t149 () (=> tptp.nonemptyI1 @t148)) % 0.40/0.66 (define @t150 () (=> tptp.nonemptyI @t149)) % 0.40/0.66 (define @t151 () (=> tptp.nonemptyE1 @t150)) % 0.40/0.66 (define @t152 () (=> tptp.setbeta @t151)) % 0.40/0.66 (define @t153 () (=> tptp.noeltsimpempty @t152)) % 0.40/0.66 (define @t154 () (=> tptp.emptyI @t153)) % 0.40/0.66 (define @t155 () (=> tptp.setext @t154)) % 0.40/0.66 (define @t156 () (=> tptp.exuE3e @t155)) % 0.40/0.66 (define @t157 () (=> tptp.notinemptyset @t156)) % 0.40/0.66 (define @t158 () (=> tptp.emptysetimpfalse @t157)) % 0.40/0.66 (define @t159 () (=> tptp.emptysetE @t158)) % 0.40/0.66 (define @t160 () (=> tptp.prop2setE @t159)) % 0.40/0.66 (define @t161 () (=> tptp.exuE1 @t160)) % 0.40/0.66 (define @t162 () (=> tptp.dsetconstrER @t161)) % 0.40/0.66 (define @t163 () (=> tptp.dsetconstrEL @t162)) % 0.40/0.66 (define @t164 () (=> tptp.dsetconstrI @t163)) % 0.40/0.66 (define @t165 () (=> tptp.descrp @t164)) % 0.40/0.66 (define @t166 () (=> tptp.wellorderingAx @t165)) % 0.40/0.66 (define @t167 () (=> tptp.foundationAx @t166)) % 0.40/0.66 (define @t168 () (=> tptp.replAx @t167)) % 0.40/0.66 (define @t169 () (=> tptp.omegaIndAx @t168)) % 0.40/0.66 (define @t170 () (=> tptp.omegaSAx @t169)) % 0.40/0.66 (define @t171 () (=> tptp.omega0Ax @t170)) % 0.40/0.66 (define @t172 () (=> tptp.setunionAx @t171)) % 0.40/0.66 (define @t173 () (=> tptp.powersetAx @t172)) % 0.40/0.66 (define @t174 () (=> tptp.setadjoinAx @t173)) % 0.40/0.66 (define @t175 () (=> tptp.emptysetAx @t174)) % 0.40/0.66 (define @t176 () (=> tptp.setextAx @t175)) % 0.40/0.66 (define @t177 () (not @t176)) % 0.40/0.66 (define @t178 () (lambda @t55 @t62)) % 0.40/0.66 (define @t179 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.40/0.66 (define @t180 () (lambda @t9 @t67)) % 0.40/0.66 (define @t181 () (@var "BOUND_VARIABLE_9623" $$unsorted)) % 0.40/0.66 (define @t182 () (@list @t1 @t181)) % 0.40/0.66 (define @t183 () (tptp.in @t181 @t1)) % 0.40/0.66 (define @t184 () (not @t183)) % 0.40/0.66 (define @t185 () (or @t184 @t183)) % 0.40/0.66 (define @t186 () (not (= @t1 @t1))) % 0.40/0.66 (define @t187 () (or @t186 @t184 @t183)) % 0.40/0.66 (define @t188 () (tptp.in @t181 @t2)) % 0.40/0.66 (define @t189 () (not @t3)) % 0.40/0.66 (define @t190 () (or @t189 @t189 @t184 @t188)) % 0.40/0.66 (define @t191 () (or @t189 @t184 @t188)) % 0.40/0.66 (define @t192 () (forall @t33 @t191)) % 0.40/0.66 (define @t193 () (forall @t182 @t192)) % 0.40/0.66 (define @t194 () (forall (@list @t1 @t181 @t2) @t191)) % 0.40/0.66 (define @t195 () (@list @t2 @t1 @t181)) % 0.40/0.66 (define @t196 () (or @t184 @t188)) % 0.40/0.66 (define @t197 () (or @t189 @t196)) % 0.40/0.66 (define @t198 () (forall @t195 @t197)) % 0.40/0.66 (define @t199 () (@list @t181)) % 0.40/0.66 (define @t200 () (forall @t199 @t197)) % 0.40/0.66 (define @t201 () (forall @t199 @t196)) % 0.40/0.66 (define @t202 () (or @t189 @t201)) % 0.40/0.66 (define @t203 () (tptp.in @t4 @t2)) % 0.40/0.66 (define @t204 () (tptp.in @t4 @t1)) % 0.40/0.66 (define @t205 () (not @t204)) % 0.40/0.66 (define @t206 () (forall @t8 (or @t205 @t203))) % 0.40/0.66 (define @t207 () (@var "BOUND_VARIABLE_9605" $$unsorted)) % 0.40/0.66 (define @t208 () (tptp.in @t4 @t207)) % 0.40/0.66 (define @t209 () (lambda (@list @t207) (forall @t8 (or @t205 @t208)))) % 0.40/0.66 (define @t210 () (not @t203)) % 0.40/0.66 (define @t211 () (lambda @t9 (forall @t8 (or @t210 @t204)))) % 0.40/0.66 (define @t212 () (=> @t3 (_ (_ @t211 @t1) @t2))) % 0.40/0.66 (define @t213 () (forall @t9 @t212)) % 0.40/0.66 (define @t214 () (=> tptp.subsetI1 @t213)) % 0.40/0.66 (define @t215 () (=> tptp.dsetconstr__Cong @t214)) % 0.40/0.66 (define @t216 () (=> tptp.descr__Cong @t215)) % 0.40/0.66 (define @t217 () (=> tptp.exuEu @t216)) % 0.40/0.66 (define @t218 () (=> tptp.omega__Cong @t217)) % 0.40/0.66 (define @t219 () (=> tptp.setunion__Cong @t218)) % 0.40/0.66 (define @t220 () (=> tptp.powerset__Cong @t219)) % 0.40/0.66 (define @t221 () (=> tptp.setadjoin__Cong @t220)) % 0.40/0.66 (define @t222 () (=> tptp.emptyset__Cong @t221)) % 0.40/0.66 (define @t223 () (=> tptp.exu__Cong @t222)) % 0.40/0.66 (define @t224 () (=> tptp.exuE3u @t223)) % 0.40/0.66 (define @t225 () (=> tptp.in__Cong @t224)) % 0.40/0.66 (define @t226 () (=> tptp.inCongP @t225)) % 0.40/0.66 (define @t227 () (=> tptp.exuI2 @t226)) % 0.40/0.66 (define @t228 () (=> tptp.exuI3 @t227)) % 0.40/0.66 (define @t229 () (=> tptp.exuI1 @t228)) % 0.40/0.66 (define @t230 () (=> tptp.notdallE @t229)) % 0.40/0.66 (define @t231 () (=> tptp.notdexE @t230)) % 0.40/0.66 (define @t232 () (=> tptp.prop2set2propI @t231)) % 0.40/0.66 (define @t233 () (=> tptp.prop2setI @t232)) % 0.40/0.66 (define @t234 () (=> tptp.quantDeMorgan4 @t233)) % 0.40/0.66 (define @t235 () (=> tptp.quantDeMorgan3 @t234)) % 0.40/0.66 (define @t236 () (=> tptp.quantDeMorgan2 @t235)) % 0.40/0.66 (define @t237 () (=> tptp.quantDeMorgan1 @t236)) % 0.40/0.66 (define @t238 () (=> tptp.vacuousDall @t237)) % 0.40/0.66 (define @t239 () (=> tptp.emptyE1 @t238)) % 0.40/0.66 (define @t240 () (=> tptp.upairsetIR @t239)) % 0.40/0.66 (define @t241 () (=> tptp.upairsetIL @t240)) % 0.40/0.66 (define @t242 () (=> tptp.upairsetE @t241)) % 0.40/0.66 (define @t243 () (=> tptp.singletonsswitch @t242)) % 0.40/0.66 (define @t244 () (=> tptp.eqinunit @t243)) % 0.40/0.66 (define @t245 () (=> tptp.notinsingleton @t244)) % 0.40/0.66 (define @t246 () (=> tptp.uniqinunit @t245)) % 0.40/0.66 (define @t247 () (=> tptp.nonemptyImpWitness @t246)) % 0.40/0.66 (define @t248 () (=> tptp.exuE2 @t247)) % 0.40/0.66 (define @t249 () (=> tptp.subPowSU @t248)) % 0.40/0.66 (define @t250 () (=> tptp.setunionE @t249)) % 0.40/0.66 (define @t251 () (=> tptp.setunionI @t250)) % 0.40/0.66 (define @t252 () (=> tptp.powersetE @t251)) % 0.40/0.66 (define @t253 () (=> tptp.emptyInPowerset @t252)) % 0.40/0.66 (define @t254 () (=> tptp.emptyinPowerset @t253)) % 0.40/0.66 (define @t255 () (=> tptp.powersetI @t254)) % 0.40/0.66 (define @t256 () (=> tptp.setoftrueEq @t255)) % 0.40/0.66 (define @t257 () (=> tptp.setadjoinOr @t256)) % 0.40/0.66 (define @t258 () (=> tptp.setadjoinE @t257)) % 0.40/0.66 (define @t259 () (=> tptp.setadjoinIR @t258)) % 0.40/0.66 (define @t260 () (=> tptp.emptyinunitempty @t259)) % 0.40/0.66 (define @t261 () (=> tptp.setadjoinIL @t260)) % 0.40/0.66 (define @t262 () (=> tptp.nonemptyI1 @t261)) % 0.40/0.66 (define @t263 () (=> tptp.nonemptyI @t262)) % 0.40/0.66 (define @t264 () (=> tptp.nonemptyE1 @t263)) % 0.40/0.66 (define @t265 () (=> tptp.setbeta @t264)) % 0.40/0.66 (define @t266 () (=> tptp.noeltsimpempty @t265)) % 0.40/0.66 (define @t267 () (=> tptp.emptyI @t266)) % 0.40/0.66 (define @t268 () (=> tptp.setext @t267)) % 0.40/0.66 (define @t269 () (=> tptp.exuE3e @t268)) % 0.40/0.66 (define @t270 () (=> tptp.notinemptyset @t269)) % 0.40/0.66 (define @t271 () (=> tptp.emptysetimpfalse @t270)) % 0.40/0.66 (define @t272 () (=> tptp.emptysetE @t271)) % 0.40/0.66 (define @t273 () (=> tptp.prop2setE @t272)) % 0.40/0.66 (define @t274 () (=> tptp.exuE1 @t273)) % 0.40/0.66 (define @t275 () (=> tptp.dsetconstrER @t274)) % 0.40/0.66 (define @t276 () (=> tptp.dsetconstrEL @t275)) % 0.40/0.66 (define @t277 () (=> tptp.dsetconstrI @t276)) % 0.40/0.66 (define @t278 () (=> tptp.descrp @t277)) % 0.40/0.66 (define @t279 () (=> tptp.wellorderingAx @t278)) % 0.40/0.66 (define @t280 () (=> tptp.foundationAx @t279)) % 0.40/0.66 (define @t281 () (=> tptp.replAx @t280)) % 0.40/0.66 (define @t282 () (=> tptp.omegaIndAx @t281)) % 0.40/0.66 (define @t283 () (=> tptp.omegaSAx @t282)) % 0.40/0.66 (define @t284 () (=> tptp.omega0Ax @t283)) % 0.40/0.66 (define @t285 () (=> tptp.setunionAx @t284)) % 0.40/0.66 (define @t286 () (=> tptp.powersetAx @t285)) % 0.40/0.66 (define @t287 () (=> tptp.setadjoinAx @t286)) % 0.40/0.66 (define @t288 () (=> tptp.emptysetAx @t287)) % 0.40/0.66 (define @t289 () (=> tptp.setextAx @t288)) % 0.40/0.66 (define @t290 () (or @t68 @t6)) % 0.40/0.66 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.40/0.66 (assume @p2 (= tptp.emptysetAx @t11)) % 0.40/0.66 (assume @p3 (= tptp.setadjoinAx (forall @t19 (= @t18 @t16)))) % 0.40/0.66 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t24 @t21)))) % 0.40/0.66 (assume @p5 (= tptp.setunionAx (forall @t29 (= @t28 (exists @t26 (and @t6 @t25)))))) % 0.40/0.66 (assume @p6 (= tptp.omega0Ax (_ @t30 tptp.omega))) % 0.40/0.66 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t32 (_ @t31 tptp.omega))))) % 0.40/0.66 (assume @p8 (= tptp.omegaIndAx (forall @t33 (=> (and (_ @t30 @t2) (forall @t8 (=> (and @t32 @t7) (_ @t31 @t2)))) (forall @t8 (=> @t32 @t7)))))) % 0.40/0.66 (assume @p9 (= tptp.replAx (forall (@list @t34 @t2) (=> (forall @t8 (=> @t7 (_ tptp.exu (lambda @t35 (_ (_ @t34 @t4) @t12))))) (exists @t26 (forall @t8 (= @t6 (exists @t35 (and @t14 (_ (_ @t34 @t12) @t4)))))))))) % 0.40/0.66 (assume @p10 (= tptp.foundationAx (forall @t33 (=> @t36 (exists @t26 (and @t25 (not (exists @t8 (and @t6 @t7))))))))) % 0.40/0.66 (assume @p11 (= tptp.wellorderingAx (forall @t33 (exists @t26 (and (forall @t45 (=> @t47 @t44)) (forall @t49 (=> (and @t7 @t14) (=> (forall @t45 (=> @t47 (= @t42 @t41))) @t48))) (forall (@list @t40 @t38) (=> (and @t47 @t43) (or (forall @t8 (=> @t42 @t46)) (forall @t8 (=> @t46 @t42))))) (forall @t45 (=> (and @t44 (exists @t8 @t42)) (exists (@list @t38 @t4) (and @t43 @t42 (not (exists @t35 (and @t39 @t41))) (forall (@list @t37) (=> (_ (_ tptp.in @t37) @t1) (or (forall @t35 (=> (_ @t13 @t37) @t39)) (_ @t5 @t37))))))))))))) % 0.40/0.66 (assume @p12 (= tptp.descrp (forall @t55 (=> @t54 (_ @t50 @t53))))) % 0.40/0.66 (assume @p13 (= tptp.dsetconstrI (forall @t60 (=> @t7 (=> @t51 @t59))))) % 0.40/0.66 (assume @p14 (= tptp.dsetconstrEL (forall @t60 (=> @t59 @t7)))) % 0.40/0.66 (assume @p15 (= tptp.dsetconstrER (forall @t60 (=> @t59 @t51)))) % 0.40/0.66 (assume @p16 (= tptp.exuE1 (forall @t55 (=> @t54 @t62)))) % 0.40/0.66 (assume @p17 (= tptp.prop2setE (forall (@list @t63 @t4) (=> (_ @t5 @t64) @t63)))) % 0.40/0.66 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t65 @t63))))) % 0.40/0.66 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.40/0.66 (assume @p20 (= tptp.notinemptyset @t11)) % 0.40/0.66 (assume @p21 (= tptp.exuE3e (forall @t55 (=> @t54 @t66)))) % 0.40/0.66 (assume @p22 (= tptp.setext (forall @t9 (=> @t67 (=> @t21 @t3))))) % 0.40/0.66 (assume @p23 (= tptp.emptyI @t69)) % 0.40/0.66 (assume @p24 (= tptp.noeltsimpempty @t69)) % 0.40/0.66 (assume @p25 (= tptp.setbeta (forall @t60 (=> @t7 (= @t59 @t51))))) % 0.40/0.66 (assume @p26 (= tptp.nonemptyE1 (forall @t33 (=> @t70 @t36)))) % 0.40/0.66 (assume @p27 (= tptp.nonemptyI (forall @t60 (=> @t7 (=> @t51 (_ tptp.nonempty @t58)))))) % 0.40/0.66 (assume @p28 (= tptp.nonemptyI1 (forall @t33 (=> @t36 @t70)))) % 0.40/0.66 (assume @p29 (= tptp.setadjoinIL (forall @t49 (_ @t5 (_ @t17 @t12))))) % 0.40/0.66 (assume @p30 (= tptp.emptyinunitempty (_ @t30 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.40/0.66 (assume @p31 (= tptp.setadjoinIR (forall @t19 (=> @t14 @t18)))) % 0.40/0.66 (assume @p32 (= tptp.setadjoinE (forall @t19 (=> @t18 (forall @t65 (=> (=> @t15 @t63) (=> (=> @t14 @t63) @t63))))))) % 0.40/0.66 (assume @p33 (= tptp.setadjoinOr (forall @t19 (=> @t18 @t16)))) % 0.40/0.66 (assume @p34 (= tptp.setoftrueEq (forall @t33 (= (_ @t57 (lambda @t8 true)) @t2)))) % 0.40/0.66 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t21 @t24)))) % 0.40/0.66 (assume @p36 (= tptp.emptyinPowerset @t71)) % 0.40/0.66 (assume @p37 (= tptp.emptyInPowerset @t71)) % 0.40/0.66 (assume @p38 (= tptp.powersetE (forall (@list @t2 @t1 @t4) (=> @t24 @t20)))) % 0.40/0.66 (assume @p39 (= tptp.setunionI (forall (@list @t2 @t4 @t1) (=> @t6 (=> @t25 @t28))))) % 0.40/0.66 (assume @p40 (= tptp.setunionE (forall @t29 (=> @t28 (forall @t65 (=> (forall @t26 (=> @t6 (=> @t25 @t63))) @t63)))))) % 0.40/0.66 (assume @p41 (= tptp.subPowSU (forall @t29 (=> @t7 (_ @t5 (_ tptp.powerset @t27)))))) % 0.40/0.66 (assume @p42 (= tptp.exuE2 (forall @t55 (=> @t54 @t72)))) % 0.40/0.66 (assume @p43 (= tptp.nonemptyImpWitness (forall @t33 (=> @t70 (exists @t8 (and @t7 true)))))) % 0.40/0.66 (assume @p44 (= tptp.uniqinunit (forall @t49 (=> @t75 @t48)))) % 0.40/0.66 (assume @p45 (= tptp.notinsingleton (forall @t49 (=> (not @t48) (not @t76))))) % 0.40/0.66 (assume @p46 (= tptp.eqinunit (forall @t49 (=> @t48 @t75)))) % 0.40/0.66 (assume @p47 (= tptp.singletonsswitch (forall @t49 (=> @t75 @t76)))) % 0.40/0.66 (assume @p48 (= tptp.upairsetE (forall (@list @t4 @t12 @t77) (=> (_ (_ tptp.in @t77) @t78) (or (= @t77 @t4) (= @t77 @t12)))))) % 0.40/0.66 (assume @p49 (= tptp.upairsetIL (forall @t49 (_ @t5 @t78)))) % 0.40/0.66 (assume @p50 (= tptp.upairsetIR (forall @t49 (_ @t13 @t78)))) % 0.40/0.66 (assume @p51 (= tptp.emptyE1 (forall @t81 (=> @t80 (=> (= @t79 tptp.emptyset) false))))) % 0.40/0.66 (assume @p52 (= tptp.vacuousDall (forall (@list @t50 @t4) (=> @t10 @t51)))) % 0.40/0.66 (assume @p53 (= tptp.quantDeMorgan1 @t85)) % 0.40/0.66 (assume @p54 (= tptp.quantDeMorgan2 (forall @t81 (=> @t87 @t86)))) % 0.40/0.66 (assume @p55 (= tptp.quantDeMorgan3 @t88)) % 0.40/0.66 (assume @p56 (= tptp.quantDeMorgan4 (forall @t81 (=> @t83 @t84)))) % 0.40/0.66 (assume @p57 (= tptp.prop2setI (forall @t65 (=> @t63 (_ @t30 @t64))))) % 0.40/0.66 (assume @p58 (= tptp.prop2set2propI (forall @t65 (=> @t63 (_ tptp.set2prop @t64))))) % 0.40/0.66 (assume @p59 (= tptp.notdexE @t88)) % 0.40/0.66 (assume @p60 (= tptp.notdallE @t85)) % 0.40/0.66 (assume @p61 (= tptp.exuI1 (forall @t55 (=> @t62 @t54)))) % 0.40/0.66 (assume @p62 (= tptp.exuI3 (forall @t55 (=> @t66 (=> @t89 @t54))))) % 0.40/0.66 (assume @p63 (= tptp.exuI2 (forall @t55 (=> @t72 @t54)))) % 0.40/0.66 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t49 (=> @t48 (=> @t7 @t90))))))) % 0.40/0.66 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t49 (=> @t48 (= @t7 @t90))))))) % 0.40/0.66 (assume @p66 (= tptp.exuE3u @t91)) % 0.40/0.66 (assume @p67 (= tptp.exu__Cong (forall @t97 (=> @t96 (= @t54 @t94))))) % 0.40/0.66 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.40/0.66 (assume @p69 (= tptp.setadjoin__Cong (forall @t49 (=> @t48 (forall (@list @t77 @t98) (=> (= @t77 @t98) (= (_ @t17 @t77) (_ @t73 @t98)))))))) % 0.40/0.66 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t22 (_ tptp.powerset @t1)))))) % 0.40/0.66 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t27 (_ tptp.setunion @t1)))))) % 0.40/0.66 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.40/0.66 (assume @p73 (= tptp.exuEu @t91)) % 0.40/0.66 (assume @p74 (= tptp.descr__Cong (forall @t97 (=> @t96 (=> @t54 (=> @t94 (= @t53 (_ tptp.descr @t93)))))))) % 0.40/0.66 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t97 (=> (forall @t8 (=> @t7 (forall @t35 (=> @t90 @t95)))) (= @t79 (_ (_ tptp.dsetconstr @t1) @t93)))))))) % 0.40/0.66 (assume @p76 (= tptp.subsetI1 (forall @t9 (=> @t67 (_ (_ tptp.subset @t2) @t1))))) % 0.40/0.66 (assume @p77 @t177) % 0.40/0.66 (assume @p78 true) % 0.40/0.66 (step @p79 (= tptp.exu @t178) :rule refl :args (@t178)) % 0.40/0.66 (step @p80 (= tptp.nonempty @t179) :rule refl :args (@t179)) % 0.40/0.66 (step @p81 (= tptp.subset @t180) :rule refl :args (@t180)) % 0.40/0.66 (step @p82 :rule evaluate :args ((not true))) % 0.40/0.66 (step @p83 :rule bool-impl-true1 :args (tptp.setextAx)) % 0.40/0.66 (step @p84 :rule bool-impl-true1 :args (tptp.emptysetAx)) % 0.40/0.66 (step @p85 :rule bool-impl-true1 :args (tptp.setadjoinAx)) % 0.40/0.66 (step @p86 :rule bool-impl-true1 :args (tptp.powersetAx)) % 0.40/0.66 (step @p87 :rule bool-impl-true1 :args (tptp.setunionAx)) % 0.40/0.66 (step @p88 :rule bool-impl-true1 :args (tptp.omega0Ax)) % 0.40/0.66 (step @p89 :rule bool-impl-true1 :args (tptp.omegaSAx)) % 0.40/0.66 (step @p90 :rule bool-impl-true1 :args (tptp.omegaIndAx)) % 0.40/0.66 (step @p91 :rule bool-impl-true1 :args (tptp.replAx)) % 0.40/0.66 (step @p92 :rule bool-impl-true1 :args (tptp.foundationAx)) % 0.40/0.66 (step @p93 :rule bool-impl-true1 :args (tptp.wellorderingAx)) % 0.40/0.66 (step @p94 :rule bool-impl-true1 :args (tptp.descrp)) % 0.40/0.66 (step @p95 :rule bool-impl-true1 :args (tptp.dsetconstrI)) % 0.40/0.66 (step @p96 :rule bool-impl-true1 :args (tptp.dsetconstrEL)) % 0.40/0.66 (step @p97 :rule bool-impl-true1 :args (tptp.dsetconstrER)) % 0.40/0.66 (step @p98 :rule bool-impl-true1 :args (tptp.exuE1)) % 0.40/0.66 (step @p99 :rule bool-impl-true1 :args (tptp.prop2setE)) % 0.40/0.66 (step @p100 :rule bool-impl-true1 :args (tptp.emptysetE)) % 0.40/0.66 (step @p101 :rule bool-impl-true1 :args (tptp.emptysetimpfalse)) % 0.40/0.66 (step @p102 :rule bool-impl-true1 :args (tptp.notinemptyset)) % 0.40/0.66 (step @p103 :rule bool-impl-true1 :args (tptp.exuE3e)) % 0.40/0.66 (step @p104 :rule bool-impl-true1 :args (tptp.setext)) % 0.40/0.66 (step @p105 :rule bool-impl-true1 :args (tptp.emptyI)) % 0.40/0.66 (step @p106 :rule bool-impl-true1 :args (tptp.noeltsimpempty)) % 0.40/0.66 (step @p107 :rule bool-impl-true1 :args (tptp.setbeta)) % 0.40/0.66 (step @p108 :rule bool-impl-true1 :args (tptp.nonemptyE1)) % 0.40/0.66 (step @p109 :rule bool-impl-true1 :args (tptp.nonemptyI)) % 0.40/0.66 (step @p110 :rule bool-impl-true1 :args (tptp.nonemptyI1)) % 0.40/0.66 (step @p111 :rule bool-impl-true1 :args (tptp.setadjoinIL)) % 0.40/0.66 (step @p112 :rule bool-impl-true1 :args (tptp.emptyinunitempty)) % 0.40/0.66 (step @p113 :rule bool-impl-true1 :args (tptp.setadjoinIR)) % 0.40/0.66 (step @p114 :rule bool-impl-true1 :args (tptp.setadjoinE)) % 0.40/0.66 (step @p115 :rule bool-impl-true1 :args (tptp.setadjoinOr)) % 0.40/0.66 (step @p116 :rule bool-impl-true1 :args (tptp.setoftrueEq)) % 0.40/0.66 (step @p117 :rule bool-impl-true1 :args (tptp.powersetI)) % 0.40/0.66 (step @p118 :rule bool-impl-true1 :args (tptp.emptyinPowerset)) % 0.40/0.66 (step @p119 :rule bool-impl-true1 :args (tptp.emptyInPowerset)) % 0.40/0.66 (step @p120 :rule bool-impl-true1 :args (tptp.powersetE)) % 0.40/0.66 (step @p121 :rule bool-impl-true1 :args (tptp.setunionI)) % 0.40/0.66 (step @p122 :rule bool-impl-true1 :args (tptp.setunionE)) % 0.40/0.66 (step @p123 :rule bool-impl-true1 :args (tptp.subPowSU)) % 0.40/0.66 (step @p124 :rule bool-impl-true1 :args (tptp.exuE2)) % 0.40/0.66 (step @p125 :rule bool-impl-true1 :args (tptp.nonemptyImpWitness)) % 0.40/0.66 (step @p126 :rule bool-impl-true1 :args (tptp.uniqinunit)) % 0.40/0.66 (step @p127 :rule bool-impl-true1 :args (tptp.notinsingleton)) % 0.40/0.66 (step @p128 :rule bool-impl-true1 :args (tptp.eqinunit)) % 0.40/0.66 (step @p129 :rule bool-impl-true1 :args (tptp.singletonsswitch)) % 0.40/0.66 (step @p130 :rule bool-impl-true1 :args (tptp.upairsetE)) % 0.40/0.66 (step @p131 :rule bool-impl-true1 :args (tptp.upairsetIL)) % 0.40/0.66 (step @p132 :rule bool-impl-true1 :args (tptp.upairsetIR)) % 0.40/0.66 (step @p133 :rule bool-impl-true1 :args (tptp.emptyE1)) % 0.40/0.66 (step @p134 :rule bool-impl-true1 :args (tptp.vacuousDall)) % 0.40/0.66 (step @p135 :rule bool-impl-true1 :args (tptp.quantDeMorgan1)) % 0.40/0.66 (step @p136 :rule bool-impl-true1 :args (tptp.quantDeMorgan2)) % 0.40/0.66 (step @p137 :rule bool-impl-true1 :args (tptp.quantDeMorgan3)) % 0.40/0.66 (step @p138 :rule bool-impl-true1 :args (tptp.quantDeMorgan4)) % 0.40/0.66 (step @p139 :rule bool-impl-true1 :args (tptp.prop2setI)) % 0.40/0.66 (step @p140 :rule bool-impl-true1 :args (tptp.prop2set2propI)) % 0.40/0.66 (step @p141 :rule bool-impl-true1 :args (tptp.notdexE)) % 0.40/0.66 (step @p142 :rule bool-impl-true1 :args (tptp.notdallE)) % 0.40/0.66 (step @p143 :rule bool-impl-true1 :args (tptp.exuI1)) % 0.40/0.66 (step @p144 :rule bool-impl-true1 :args (tptp.exuI3)) % 0.40/0.66 (step @p145 :rule bool-impl-true1 :args (tptp.exuI2)) % 0.40/0.66 (step @p146 :rule bool-impl-true1 :args (tptp.inCongP)) % 0.40/0.66 (step @p147 :rule bool-impl-true1 :args (tptp.in__Cong)) % 0.40/0.66 (step @p148 :rule bool-impl-true1 :args (tptp.exuE3u)) % 0.40/0.66 (step @p149 :rule bool-impl-true1 :args (tptp.exu__Cong)) % 0.40/0.66 (step @p150 :rule bool-impl-true1 :args (tptp.emptyset__Cong)) % 0.40/0.66 (step @p151 :rule bool-impl-true1 :args (tptp.setadjoin__Cong)) % 0.40/0.66 (step @p152 :rule bool-impl-true1 :args (tptp.powerset__Cong)) % 0.40/0.66 (step @p153 :rule bool-impl-true1 :args (tptp.setunion__Cong)) % 0.40/0.66 (step @p154 :rule bool-impl-true1 :args (tptp.omega__Cong)) % 0.40/0.66 (step @p155 :rule bool-impl-true1 :args (tptp.exuEu)) % 0.40/0.66 (step @p156 :rule bool-impl-true1 :args (tptp.descr__Cong)) % 0.40/0.66 (step @p157 :rule bool-impl-true1 :args (tptp.dsetconstr__Cong)) % 0.40/0.66 (step @p158 :rule bool-impl-true1 :args (tptp.subsetI1)) % 0.40/0.66 (step @p159 :rule quant-unused-vars :args ((= (forall @t182 true) true))) % 0.40/0.66 (step @p160 :rule bool-or-taut2 :args (false @t183 false false)) % 0.40/0.66 (step @p161 :rule cong :premises (@p160) :args ((forall @t182 @t185))) % 0.40/0.66 (step @p162 :rule trans :premises (@p161 @p159)) % 0.40/0.66 (step @p163 :rule aci_norm :args ((= (or false @t184 @t183) @t185))) % 0.40/0.66 (step @p164 :rule refl :args (@t183)) % 0.40/0.66 (step @p165 :rule refl :args (@t184)) % 0.40/0.66 (step @p166 :rule eq-refl :args (@t1)) % 0.40/0.66 (step @p167 :rule cong :premises (@p166) :args (@t186)) % 0.40/0.66 (step @p168 :rule trans :premises (@p167 @p82)) % 0.40/0.66 (step @p169 :rule nary_cong :premises (@p168 @p165 @p164) :args (@t187)) % 0.40/0.66 (step @p170 :rule trans :premises (@p169 @p163)) % 0.40/0.66 (step @p171 :rule cong :premises (@p170) :args ((forall @t182 @t187))) % 0.40/0.66 (step @p172 :rule trans :premises (@p171 @p162)) % 0.40/0.66 (step @p173 :rule quant-var-elim-eq :args ((= (forall @t33 @t190) @t187))) % 0.40/0.66 (step @p174 :rule aci_norm :args ((= @t191 @t190))) % 0.40/0.66 (step @p175 :rule cong :premises (@p174) :args (@t192)) % 0.40/0.66 (step @p176 :rule trans :premises (@p175 @p173)) % 0.40/0.66 (step @p177 :rule cong :premises (@p176) :args (@t193)) % 0.40/0.66 (step @p178 :rule quant-merge-prenex :args ((= @t193 @t194))) % 0.40/0.66 (step @p179 :rule symm :premises (@p178)) % 0.40/0.66 (step @p180 :rule quant_var_reordering :args ((= (forall @t195 @t191) @t194))) % 0.40/0.66 (step @p181 :rule trans :premises (@p180 @p179 @p177)) % 0.40/0.66 (step @p182 :rule trans :premises (@p181 @p172)) % 0.40/0.66 (step @p183 :rule aci_norm :args ((= @t197 @t191))) % 0.40/0.66 (step @p184 :rule cong :premises (@p183) :args (@t198)) % 0.40/0.66 (step @p185 :rule trans :premises (@p184 @p182)) % 0.40/0.66 (step @p186 :rule quant-merge-prenex :args ((= (forall @t9 @t200) @t198))) % 0.40/0.66 (step @p187 :rule alpha_equiv :args (@t201 (@list @t181) (@list @t4))) % 0.40/0.66 (step @p188 :rule refl :args (@t189)) % 0.40/0.66 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t202)) % 0.40/0.66 (step @p190 :rule quant-miniscope-or :args ((= @t200 @t202))) % 0.40/0.66 (step @p191 :rule trans :premises (@p190 @p189)) % 0.40/0.66 (step @p192 :rule symm :premises (@p191)) % 0.40/0.66 (step @p193 :rule cong :premises (@p192) :args ((forall @t9 (or @t189 @t206)))) % 0.40/0.66 (step @p194 :rule trans :premises (@p193 @p186)) % 0.40/0.66 (step @p195 :rule trans :premises (@p194 @p185)) % 0.40/0.66 (step @p196 :rule bool-impl-elim :args (@t3 @t206)) % 0.40/0.66 (step @p197 :rule cong :premises (@p196) :args ((forall @t9 (=> @t3 @t206)))) % 0.40/0.66 (step @p198 :rule trans :premises (@p197 @p195)) % 0.40/0.66 (step @p199 :rule beta-reduce :args ((= (_ @t209 @t2) @t206))) % 0.40/0.66 (step @p200 :rule refl :args (@t2)) % 0.40/0.66 (step @p201 :rule beta-reduce :args ((= (_ (lambda (@list @t2 @t207) (forall @t8 (or @t210 @t208))) @t1) @t209))) % 0.40/0.66 (step @p202 :rule refl :args (@t1)) % 0.40/0.66 (step @p203 :rule alpha_equiv :args (@t211 (@list @t1) (@list @t207))) % 0.40/0.66 (step @p204 :rule ho_cong :premises (@p203 @p202)) % 0.40/0.66 (step @p205 :rule trans :premises (@p204 @p201)) % 0.40/0.66 (step @p206 :rule ho_cong :premises (@p205 @p200)) % 0.40/0.66 (step @p207 :rule trans :premises (@p206 @p199)) % 0.40/0.66 (step @p208 :rule refl :args (@t3)) % 0.40/0.66 (step @p209 :rule cong :premises (@p208 @p207) :args (@t212)) % 0.40/0.66 (step @p210 :rule cong :premises (@p209) :args (@t213)) % 0.40/0.66 (step @p211 :rule trans :premises (@p210 @p198)) % 0.40/0.66 (step @p212 :rule refl :args (tptp.subsetI1)) % 0.40/0.66 (step @p213 :rule cong :premises (@p212 @p211) :args (@t214)) % 0.40/0.66 (step @p214 :rule trans :premises (@p213 @p158)) % 0.40/0.66 (step @p215 :rule refl :args (tptp.dsetconstr__Cong)) % 0.40/0.66 (step @p216 :rule cong :premises (@p215 @p214) :args (@t215)) % 0.40/0.66 (step @p217 :rule trans :premises (@p216 @p157)) % 0.40/0.66 (step @p218 :rule refl :args (tptp.descr__Cong)) % 0.40/0.66 (step @p219 :rule cong :premises (@p218 @p217) :args (@t216)) % 0.40/0.66 (step @p220 :rule trans :premises (@p219 @p156)) % 0.40/0.66 (step @p221 :rule refl :args (tptp.exuEu)) % 0.40/0.66 (step @p222 :rule cong :premises (@p221 @p220) :args (@t217)) % 0.40/0.66 (step @p223 :rule trans :premises (@p222 @p155)) % 0.40/0.66 (step @p224 :rule refl :args (tptp.omega__Cong)) % 0.40/0.66 (step @p225 :rule cong :premises (@p224 @p223) :args (@t218)) % 0.40/0.66 (step @p226 :rule trans :premises (@p225 @p154)) % 0.40/0.66 (step @p227 :rule refl :args (tptp.setunion__Cong)) % 0.40/0.66 (step @p228 :rule cong :premises (@p227 @p226) :args (@t219)) % 0.40/0.66 (step @p229 :rule trans :premises (@p228 @p153)) % 0.40/0.66 (step @p230 :rule refl :args (tptp.powerset__Cong)) % 0.40/0.66 (step @p231 :rule cong :premises (@p230 @p229) :args (@t220)) % 0.40/0.66 (step @p232 :rule trans :premises (@p231 @p152)) % 0.40/0.66 (step @p233 :rule refl :args (tptp.setadjoin__Cong)) % 0.40/0.66 (step @p234 :rule cong :premises (@p233 @p232) :args (@t221)) % 0.40/0.66 (step @p235 :rule trans :premises (@p234 @p151)) % 0.40/0.66 (step @p236 :rule refl :args (tptp.emptyset__Cong)) % 0.40/0.66 (step @p237 :rule cong :premises (@p236 @p235) :args (@t222)) % 0.40/0.66 (step @p238 :rule trans :premises (@p237 @p150)) % 0.40/0.66 (step @p239 :rule refl :args (tptp.exu__Cong)) % 0.40/0.66 (step @p240 :rule cong :premises (@p239 @p238) :args (@t223)) % 0.40/0.66 (step @p241 :rule trans :premises (@p240 @p149)) % 0.40/0.66 (step @p242 :rule refl :args (tptp.exuE3u)) % 0.40/0.66 (step @p243 :rule cong :premises (@p242 @p241) :args (@t224)) % 0.40/0.66 (step @p244 :rule trans :premises (@p243 @p148)) % 0.40/0.66 (step @p245 :rule refl :args (tptp.in__Cong)) % 0.40/0.66 (step @p246 :rule cong :premises (@p245 @p244) :args (@t225)) % 0.40/0.66 (step @p247 :rule trans :premises (@p246 @p147)) % 0.40/0.66 (step @p248 :rule refl :args (tptp.inCongP)) % 0.40/0.66 (step @p249 :rule cong :premises (@p248 @p247) :args (@t226)) % 0.40/0.66 (step @p250 :rule trans :premises (@p249 @p146)) % 0.40/0.66 (step @p251 :rule refl :args (tptp.exuI2)) % 0.40/0.66 (step @p252 :rule cong :premises (@p251 @p250) :args (@t227)) % 0.40/0.66 (step @p253 :rule trans :premises (@p252 @p145)) % 0.40/0.66 (step @p254 :rule refl :args (tptp.exuI3)) % 0.40/0.66 (step @p255 :rule cong :premises (@p254 @p253) :args (@t228)) % 0.40/0.66 (step @p256 :rule trans :premises (@p255 @p144)) % 0.40/0.66 (step @p257 :rule refl :args (tptp.exuI1)) % 0.40/0.66 (step @p258 :rule cong :premises (@p257 @p256) :args (@t229)) % 0.40/0.66 (step @p259 :rule trans :premises (@p258 @p143)) % 0.40/0.66 (step @p260 :rule refl :args (tptp.notdallE)) % 0.40/0.66 (step @p261 :rule cong :premises (@p260 @p259) :args (@t230)) % 0.40/0.66 (step @p262 :rule trans :premises (@p261 @p142)) % 0.40/0.66 (step @p263 :rule refl :args (tptp.notdexE)) % 0.40/0.66 (step @p264 :rule cong :premises (@p263 @p262) :args (@t231)) % 0.40/0.66 (step @p265 :rule trans :premises (@p264 @p141)) % 0.40/0.66 (step @p266 :rule refl :args (tptp.prop2set2propI)) % 0.40/0.66 (step @p267 :rule cong :premises (@p266 @p265) :args (@t232)) % 0.40/0.66 (step @p268 :rule trans :premises (@p267 @p140)) % 0.40/0.66 (step @p269 :rule refl :args (tptp.prop2setI)) % 0.40/0.66 (step @p270 :rule cong :premises (@p269 @p268) :args (@t233)) % 0.40/0.66 (step @p271 :rule trans :premises (@p270 @p139)) % 0.40/0.66 (step @p272 :rule refl :args (tptp.quantDeMorgan4)) % 0.40/0.66 (step @p273 :rule cong :premises (@p272 @p271) :args (@t234)) % 0.40/0.66 (step @p274 :rule trans :premises (@p273 @p138)) % 0.40/0.66 (step @p275 :rule refl :args (tptp.quantDeMorgan3)) % 0.40/0.66 (step @p276 :rule cong :premises (@p275 @p274) :args (@t235)) % 0.40/0.66 (step @p277 :rule trans :premises (@p276 @p137)) % 0.40/0.66 (step @p278 :rule refl :args (tptp.quantDeMorgan2)) % 0.40/0.66 (step @p279 :rule cong :premises (@p278 @p277) :args (@t236)) % 0.40/0.66 (step @p280 :rule trans :premises (@p279 @p136)) % 0.40/0.66 (step @p281 :rule refl :args (tptp.quantDeMorgan1)) % 0.40/0.66 (step @p282 :rule cong :premises (@p281 @p280) :args (@t237)) % 0.40/0.66 (step @p283 :rule trans :premises (@p282 @p135)) % 0.40/0.66 (step @p284 :rule refl :args (tptp.vacuousDall)) % 0.40/0.66 (step @p285 :rule cong :premises (@p284 @p283) :args (@t238)) % 0.40/0.66 (step @p286 :rule trans :premises (@p285 @p134)) % 0.40/0.66 (step @p287 :rule refl :args (tptp.emptyE1)) % 0.40/0.66 (step @p288 :rule cong :premises (@p287 @p286) :args (@t239)) % 0.40/0.66 (step @p289 :rule trans :premises (@p288 @p133)) % 0.40/0.66 (step @p290 :rule refl :args (tptp.upairsetIR)) % 0.40/0.66 (step @p291 :rule cong :premises (@p290 @p289) :args (@t240)) % 0.40/0.66 (step @p292 :rule trans :premises (@p291 @p132)) % 0.40/0.66 (step @p293 :rule refl :args (tptp.upairsetIL)) % 0.40/0.66 (step @p294 :rule cong :premises (@p293 @p292) :args (@t241)) % 0.40/0.66 (step @p295 :rule trans :premises (@p294 @p131)) % 0.40/0.66 (step @p296 :rule refl :args (tptp.upairsetE)) % 0.40/0.66 (step @p297 :rule cong :premises (@p296 @p295) :args (@t242)) % 0.40/0.66 (step @p298 :rule trans :premises (@p297 @p130)) % 0.40/0.66 (step @p299 :rule refl :args (tptp.singletonsswitch)) % 0.40/0.66 (step @p300 :rule cong :premises (@p299 @p298) :args (@t243)) % 0.40/0.66 (step @p301 :rule trans :premises (@p300 @p129)) % 0.40/0.66 (step @p302 :rule refl :args (tptp.eqinunit)) % 0.40/0.66 (step @p303 :rule cong :premises (@p302 @p301) :args (@t244)) % 0.40/0.66 (step @p304 :rule trans :premises (@p303 @p128)) % 0.40/0.66 (step @p305 :rule refl :args (tptp.notinsingleton)) % 0.40/0.66 (step @p306 :rule cong :premises (@p305 @p304) :args (@t245)) % 0.40/0.66 (step @p307 :rule trans :premises (@p306 @p127)) % 0.40/0.66 (step @p308 :rule refl :args (tptp.uniqinunit)) % 0.40/0.66 (step @p309 :rule cong :premises (@p308 @p307) :args (@t246)) % 0.40/0.66 (step @p310 :rule trans :premises (@p309 @p126)) % 0.40/0.66 (step @p311 :rule refl :args (tptp.nonemptyImpWitness)) % 0.40/0.66 (step @p312 :rule cong :premises (@p311 @p310) :args (@t247)) % 0.40/0.66 (step @p313 :rule trans :premises (@p312 @p125)) % 0.40/0.66 (step @p314 :rule refl :args (tptp.exuE2)) % 0.40/0.66 (step @p315 :rule cong :premises (@p314 @p313) :args (@t248)) % 0.40/0.66 (step @p316 :rule trans :premises (@p315 @p124)) % 0.40/0.66 (step @p317 :rule refl :args (tptp.subPowSU)) % 0.40/0.66 (step @p318 :rule cong :premises (@p317 @p316) :args (@t249)) % 0.40/0.66 (step @p319 :rule trans :premises (@p318 @p123)) % 0.40/0.66 (step @p320 :rule refl :args (tptp.setunionE)) % 0.40/0.66 (step @p321 :rule cong :premises (@p320 @p319) :args (@t250)) % 0.40/0.66 (step @p322 :rule trans :premises (@p321 @p122)) % 0.40/0.66 (step @p323 :rule refl :args (tptp.setunionI)) % 0.40/0.66 (step @p324 :rule cong :premises (@p323 @p322) :args (@t251)) % 0.40/0.66 (step @p325 :rule trans :premises (@p324 @p121)) % 0.40/0.66 (step @p326 :rule refl :args (tptp.powersetE)) % 0.40/0.66 (step @p327 :rule cong :premises (@p326 @p325) :args (@t252)) % 0.40/0.66 (step @p328 :rule trans :premises (@p327 @p120)) % 0.40/0.66 (step @p329 :rule refl :args (tptp.emptyInPowerset)) % 0.40/0.66 (step @p330 :rule cong :premises (@p329 @p328) :args (@t253)) % 0.40/0.66 (step @p331 :rule trans :premises (@p330 @p119)) % 0.40/0.66 (step @p332 :rule refl :args (tptp.emptyinPowerset)) % 0.40/0.66 (step @p333 :rule cong :premises (@p332 @p331) :args (@t254)) % 0.40/0.66 (step @p334 :rule trans :premises (@p333 @p118)) % 0.40/0.66 (step @p335 :rule refl :args (tptp.powersetI)) % 0.40/0.66 (step @p336 :rule cong :premises (@p335 @p334) :args (@t255)) % 0.40/0.66 (step @p337 :rule trans :premises (@p336 @p117)) % 0.40/0.66 (step @p338 :rule refl :args (tptp.setoftrueEq)) % 0.40/0.66 (step @p339 :rule cong :premises (@p338 @p337) :args (@t256)) % 0.40/0.66 (step @p340 :rule trans :premises (@p339 @p116)) % 0.40/0.66 (step @p341 :rule refl :args (tptp.setadjoinOr)) % 0.40/0.66 (step @p342 :rule cong :premises (@p341 @p340) :args (@t257)) % 0.40/0.66 (step @p343 :rule trans :premises (@p342 @p115)) % 0.40/0.66 (step @p344 :rule refl :args (tptp.setadjoinE)) % 0.40/0.66 (step @p345 :rule cong :premises (@p344 @p343) :args (@t258)) % 0.40/0.66 (step @p346 :rule trans :premises (@p345 @p114)) % 0.40/0.66 (step @p347 :rule refl :args (tptp.setadjoinIR)) % 0.40/0.66 (step @p348 :rule cong :premises (@p347 @p346) :args (@t259)) % 0.40/0.66 (step @p349 :rule trans :premises (@p348 @p113)) % 0.40/0.66 (step @p350 :rule refl :args (tptp.emptyinunitempty)) % 0.40/0.66 (step @p351 :rule cong :premises (@p350 @p349) :args (@t260)) % 0.40/0.66 (step @p352 :rule trans :premises (@p351 @p112)) % 0.40/0.66 (step @p353 :rule refl :args (tptp.setadjoinIL)) % 0.40/0.66 (step @p354 :rule cong :premises (@p353 @p352) :args (@t261)) % 0.40/0.66 (step @p355 :rule trans :premises (@p354 @p111)) % 0.40/0.66 (step @p356 :rule refl :args (tptp.nonemptyI1)) % 0.40/0.66 (step @p357 :rule cong :premises (@p356 @p355) :args (@t262)) % 0.40/0.66 (step @p358 :rule trans :premises (@p357 @p110)) % 0.40/0.66 (step @p359 :rule refl :args (tptp.nonemptyI)) % 0.40/0.66 (step @p360 :rule cong :premises (@p359 @p358) :args (@t263)) % 0.40/0.66 (step @p361 :rule trans :premises (@p360 @p109)) % 0.40/0.66 (step @p362 :rule refl :args (tptp.nonemptyE1)) % 0.40/0.66 (step @p363 :rule cong :premises (@p362 @p361) :args (@t264)) % 0.40/0.66 (step @p364 :rule trans :premises (@p363 @p108)) % 0.40/0.66 (step @p365 :rule refl :args (tptp.setbeta)) % 0.40/0.66 (step @p366 :rule cong :premises (@p365 @p364) :args (@t265)) % 0.40/0.66 (step @p367 :rule trans :premises (@p366 @p107)) % 0.40/0.66 (step @p368 :rule refl :args (tptp.noeltsimpempty)) % 0.40/0.66 (step @p369 :rule cong :premises (@p368 @p367) :args (@t266)) % 0.40/0.66 (step @p370 :rule trans :premises (@p369 @p106)) % 0.40/0.66 (step @p371 :rule refl :args (tptp.emptyI)) % 0.40/0.66 (step @p372 :rule cong :premises (@p371 @p370) :args (@t267)) % 0.40/0.66 (step @p373 :rule trans :premises (@p372 @p105)) % 0.40/0.66 (step @p374 :rule refl :args (tptp.setext)) % 0.40/0.66 (step @p375 :rule cong :premises (@p374 @p373) :args (@t268)) % 0.40/0.66 (step @p376 :rule trans :premises (@p375 @p104)) % 0.40/0.66 (step @p377 :rule refl :args (tptp.exuE3e)) % 0.40/0.66 (step @p378 :rule cong :premises (@p377 @p376) :args (@t269)) % 0.40/0.66 (step @p379 :rule trans :premises (@p378 @p103)) % 0.40/0.66 (step @p380 :rule refl :args (tptp.notinemptyset)) % 0.40/0.66 (step @p381 :rule cong :premises (@p380 @p379) :args (@t270)) % 0.40/0.66 (step @p382 :rule trans :premises (@p381 @p102)) % 0.40/0.66 (step @p383 :rule refl :args (tptp.emptysetimpfalse)) % 0.40/0.66 (step @p384 :rule cong :premises (@p383 @p382) :args (@t271)) % 0.40/0.66 (step @p385 :rule trans :premises (@p384 @p101)) % 0.40/0.66 (step @p386 :rule refl :args (tptp.emptysetE)) % 0.40/0.66 (step @p387 :rule cong :premises (@p386 @p385) :args (@t272)) % 0.40/0.66 (step @p388 :rule trans :premises (@p387 @p100)) % 0.40/0.66 (step @p389 :rule refl :args (tptp.prop2setE)) % 0.40/0.66 (step @p390 :rule cong :premises (@p389 @p388) :args (@t273)) % 0.40/0.66 (step @p391 :rule trans :premises (@p390 @p99)) % 0.40/0.66 (step @p392 :rule refl :args (tptp.exuE1)) % 0.40/0.66 (step @p393 :rule cong :premises (@p392 @p391) :args (@t274)) % 0.40/0.66 (step @p394 :rule trans :premises (@p393 @p98)) % 0.40/0.66 (step @p395 :rule refl :args (tptp.dsetconstrER)) % 0.40/0.66 (step @p396 :rule cong :premises (@p395 @p394) :args (@t275)) % 0.40/0.66 (step @p397 :rule trans :premises (@p396 @p97)) % 0.40/0.66 (step @p398 :rule refl :args (tptp.dsetconstrEL)) % 0.40/0.66 (step @p399 :rule cong :premises (@p398 @p397) :args (@t276)) % 0.40/0.66 (step @p400 :rule trans :premises (@p399 @p96)) % 0.40/0.66 (step @p401 :rule refl :args (tptp.dsetconstrI)) % 0.40/0.66 (step @p402 :rule cong :premises (@p401 @p400) :args (@t277)) % 0.40/0.66 (step @p403 :rule trans :premises (@p402 @p95)) % 0.40/0.66 (step @p404 :rule refl :args (tptp.descrp)) % 0.40/0.66 (step @p405 :rule cong :premises (@p404 @p403) :args (@t278)) % 0.40/0.66 (step @p406 :rule trans :premises (@p405 @p94)) % 0.40/0.66 (step @p407 :rule refl :args (tptp.wellorderingAx)) % 0.40/0.66 (step @p408 :rule cong :premises (@p407 @p406) :args (@t279)) % 0.40/0.66 (step @p409 :rule trans :premises (@p408 @p93)) % 0.40/0.66 (step @p410 :rule refl :args (tptp.foundationAx)) % 0.40/0.66 (step @p411 :rule cong :premises (@p410 @p409) :args (@t280)) % 0.40/0.66 (step @p412 :rule trans :premises (@p411 @p92)) % 0.40/0.66 (step @p413 :rule refl :args (tptp.replAx)) % 0.40/0.66 (step @p414 :rule cong :premises (@p413 @p412) :args (@t281)) % 0.40/0.66 (step @p415 :rule trans :premises (@p414 @p91)) % 0.40/0.66 (step @p416 :rule refl :args (tptp.omegaIndAx)) % 0.40/0.66 (step @p417 :rule cong :premises (@p416 @p415) :args (@t282)) % 0.40/0.66 (step @p418 :rule trans :premises (@p417 @p90)) % 0.40/0.66 (step @p419 :rule refl :args (tptp.omegaSAx)) % 0.40/0.66 (step @p420 :rule cong :premises (@p419 @p418) :args (@t283)) % 0.40/0.66 (step @p421 :rule trans :premises (@p420 @p89)) % 0.40/0.66 (step @p422 :rule refl :args (tptp.omega0Ax)) % 0.40/0.66 (step @p423 :rule cong :premises (@p422 @p421) :args (@t284)) % 0.40/0.66 (step @p424 :rule trans :premises (@p423 @p88)) % 0.40/0.66 (step @p425 :rule refl :args (tptp.setunionAx)) % 0.40/0.66 (step @p426 :rule cong :premises (@p425 @p424) :args (@t285)) % 0.40/0.66 (step @p427 :rule trans :premises (@p426 @p87)) % 0.40/0.66 (step @p428 :rule refl :args (tptp.powersetAx)) % 0.40/0.66 (step @p429 :rule cong :premises (@p428 @p427) :args (@t286)) % 0.40/0.66 (step @p430 :rule trans :premises (@p429 @p86)) % 0.40/0.66 (step @p431 :rule refl :args (tptp.setadjoinAx)) % 0.40/0.66 (step @p432 :rule cong :premises (@p431 @p430) :args (@t287)) % 0.40/0.66 (step @p433 :rule trans :premises (@p432 @p85)) % 0.40/0.66 (step @p434 :rule refl :args (tptp.emptysetAx)) % 0.40/0.66 (step @p435 :rule cong :premises (@p434 @p433) :args (@t288)) % 0.40/0.66 (step @p436 :rule trans :premises (@p435 @p84)) % 0.40/0.66 (step @p437 :rule refl :args (tptp.setextAx)) % 0.40/0.66 (step @p438 :rule cong :premises (@p437 @p436) :args (@t289)) % 0.40/0.66 (step @p439 :rule trans :premises (@p438 @p83)) % 0.40/0.66 (step @p440 :rule cong :premises (@p439) :args ((not @t289))) % 0.40/0.66 (step @p441 :rule trans :premises (@p440 @p82)) % 0.40/0.66 (step @p442 :rule refl :args (@t1)) % 0.40/0.66 (step @p443 :rule refl :args (@t204)) % 0.40/0.66 (step @p444 :rule refl :args (@t6)) % 0.40/0.66 (step @p445 :rule cong :premises (@p444 @p443) :args ((= @t6 @t204))) % 0.40/0.66 (step @p446 :rule symm :premises (@p445)) % 0.40/0.66 (step @p447 :rule eq_resolve :premises (@p444 @p446)) % 0.40/0.66 (step @p448 :rule refl :args (@t203)) % 0.40/0.66 (step @p449 :rule refl :args (@t7)) % 0.40/0.66 (step @p450 :rule cong :premises (@p449 @p448) :args ((= @t7 @t203))) % 0.40/0.66 (step @p451 :rule symm :premises (@p450)) % 0.40/0.66 (step @p452 :rule eq_resolve :premises (@p449 @p451)) % 0.40/0.66 (step @p453 :rule cong :premises (@p452) :args (@t68)) % 0.40/0.66 (step @p454 :rule nary_cong :premises (@p453 @p447) :args (@t290)) % 0.40/0.66 (step @p455 :rule cong :premises (@p454) :args ((forall @t8 @t290))) % 0.40/0.66 (step @p456 :rule bool-impl-elim :args (@t7 @t6)) % 0.40/0.66 (step @p457 :rule cong :premises (@p456) :args (@t67)) % 0.40/0.66 (step @p458 :rule trans :premises (@p457 @p455)) % 0.40/0.66 (step @p459 :rule cong :premises (@p458) :args (@t180)) % 0.40/0.66 (step @p460 :rule trans :premises (@p81 @p459)) % 0.40/0.66 (step @p461 :rule ho_cong :premises (@p460 @p442)) % 0.40/0.66 (step @p462 :rule ho_cong :premises (@p461 @p200)) % 0.40/0.66 (step @p463 :rule cong :premises (@p208 @p462) :args (@t99)) % 0.40/0.66 (step @p464 :rule cong :premises (@p463) :args (@t100)) % 0.40/0.66 (step @p465 :rule cong :premises (@p212 @p464) :args (@t101)) % 0.40/0.66 (step @p466 :rule cong :premises (@p215 @p465) :args (@t102)) % 0.40/0.66 (step @p467 :rule cong :premises (@p218 @p466) :args (@t103)) % 0.40/0.66 (step @p468 :rule cong :premises (@p221 @p467) :args (@t104)) % 0.40/0.66 (step @p469 :rule cong :premises (@p224 @p468) :args (@t105)) % 0.40/0.66 (step @p470 :rule cong :premises (@p227 @p469) :args (@t106)) % 0.40/0.66 (step @p471 :rule cong :premises (@p230 @p470) :args (@t107)) % 0.40/0.66 (step @p472 :rule cong :premises (@p233 @p471) :args (@t108)) % 0.40/0.66 (step @p473 :rule cong :premises (@p236 @p472) :args (@t109)) % 0.40/0.66 (step @p474 :rule cong :premises (@p239 @p473) :args (@t110)) % 0.40/0.66 (step @p475 :rule cong :premises (@p242 @p474) :args (@t111)) % 0.40/0.66 (step @p476 :rule cong :premises (@p245 @p475) :args (@t112)) % 0.40/0.66 (step @p477 :rule cong :premises (@p248 @p476) :args (@t113)) % 0.40/0.66 (step @p478 :rule cong :premises (@p251 @p477) :args (@t114)) % 0.40/0.66 (step @p479 :rule cong :premises (@p254 @p478) :args (@t115)) % 0.40/0.66 (step @p480 :rule cong :premises (@p257 @p479) :args (@t116)) % 0.40/0.66 (step @p481 :rule cong :premises (@p260 @p480) :args (@t117)) % 0.40/0.66 (step @p482 :rule cong :premises (@p263 @p481) :args (@t118)) % 0.40/0.66 (step @p483 :rule cong :premises (@p266 @p482) :args (@t119)) % 0.40/0.66 (step @p484 :rule cong :premises (@p269 @p483) :args (@t120)) % 0.40/0.66 (step @p485 :rule cong :premises (@p272 @p484) :args (@t121)) % 0.40/0.66 (step @p486 :rule cong :premises (@p275 @p485) :args (@t122)) % 0.40/0.66 (step @p487 :rule cong :premises (@p278 @p486) :args (@t123)) % 0.40/0.66 (step @p488 :rule cong :premises (@p281 @p487) :args (@t124)) % 0.40/0.66 (step @p489 :rule cong :premises (@p284 @p488) :args (@t125)) % 0.40/0.66 (step @p490 :rule cong :premises (@p287 @p489) :args (@t126)) % 0.40/0.66 (step @p491 :rule cong :premises (@p290 @p490) :args (@t127)) % 0.40/0.66 (step @p492 :rule cong :premises (@p293 @p491) :args (@t128)) % 0.40/0.66 (step @p493 :rule cong :premises (@p296 @p492) :args (@t129)) % 0.40/0.66 (step @p494 :rule cong :premises (@p299 @p493) :args (@t130)) % 0.40/0.66 (step @p495 :rule cong :premises (@p302 @p494) :args (@t131)) % 0.40/0.66 (step @p496 :rule cong :premises (@p305 @p495) :args (@t132)) % 0.40/0.66 (step @p497 :rule cong :premises (@p308 @p496) :args (@t133)) % 0.40/0.66 (step @p498 :rule cong :premises (@p311 @p497) :args (@t134)) % 0.40/0.66 (step @p499 :rule cong :premises (@p314 @p498) :args (@t135)) % 0.40/0.66 (step @p500 :rule cong :premises (@p317 @p499) :args (@t136)) % 0.40/0.66 (step @p501 :rule cong :premises (@p320 @p500) :args (@t137)) % 0.40/0.66 (step @p502 :rule cong :premises (@p323 @p501) :args (@t138)) % 0.40/0.66 (step @p503 :rule cong :premises (@p326 @p502) :args (@t139)) % 0.40/0.66 (step @p504 :rule cong :premises (@p329 @p503) :args (@t140)) % 0.40/0.66 (step @p505 :rule cong :premises (@p332 @p504) :args (@t141)) % 0.40/0.66 (step @p506 :rule cong :premises (@p335 @p505) :args (@t142)) % 0.40/0.66 (step @p507 :rule cong :premises (@p338 @p506) :args (@t143)) % 0.40/0.66 (step @p508 :rule cong :premises (@p341 @p507) :args (@t144)) % 0.40/0.66 (step @p509 :rule cong :premises (@p344 @p508) :args (@t145)) % 0.40/0.66 (step @p510 :rule cong :premises (@p347 @p509) :args (@t146)) % 0.40/0.66 (step @p511 :rule cong :premises (@p350 @p510) :args (@t147)) % 0.40/0.66 (step @p512 :rule cong :premises (@p353 @p511) :args (@t148)) % 0.40/0.66 (step @p513 :rule cong :premises (@p356 @p512) :args (@t149)) % 0.40/0.66 (step @p514 :rule cong :premises (@p359 @p513) :args (@t150)) % 0.40/0.66 (step @p515 :rule cong :premises (@p362 @p514) :args (@t151)) % 0.40/0.66 (step @p516 :rule cong :premises (@p365 @p515) :args (@t152)) % 0.40/0.66 (step @p517 :rule cong :premises (@p368 @p516) :args (@t153)) % 0.40/0.66 (step @p518 :rule cong :premises (@p371 @p517) :args (@t154)) % 0.40/0.66 (step @p519 :rule cong :premises (@p374 @p518) :args (@t155)) % 0.40/0.66 (step @p520 :rule cong :premises (@p377 @p519) :args (@t156)) % 0.40/0.66 (step @p521 :rule cong :premises (@p380 @p520) :args (@t157)) % 0.40/0.66 (step @p522 :rule cong :premises (@p383 @p521) :args (@t158)) % 0.40/0.66 (step @p523 :rule cong :premises (@p386 @p522) :args (@t159)) % 0.40/0.66 (step @p524 :rule cong :premises (@p389 @p523) :args (@t160)) % 0.40/0.66 (step @p525 :rule cong :premises (@p392 @p524) :args (@t161)) % 0.40/0.66 (step @p526 :rule cong :premises (@p395 @p525) :args (@t162)) % 0.40/0.66 (step @p527 :rule cong :premises (@p398 @p526) :args (@t163)) % 0.40/0.66 (step @p528 :rule cong :premises (@p401 @p527) :args (@t164)) % 0.40/0.66 (step @p529 :rule cong :premises (@p404 @p528) :args (@t165)) % 0.40/0.66 (step @p530 :rule cong :premises (@p407 @p529) :args (@t166)) % 0.40/0.66 (step @p531 :rule cong :premises (@p410 @p530) :args (@t167)) % 0.40/0.66 (step @p532 :rule cong :premises (@p413 @p531) :args (@t168)) % 0.40/0.66 (step @p533 :rule cong :premises (@p416 @p532) :args (@t169)) % 0.40/0.66 (step @p534 :rule cong :premises (@p419 @p533) :args (@t170)) % 0.40/0.66 (step @p535 :rule cong :premises (@p422 @p534) :args (@t171)) % 0.40/0.66 (step @p536 :rule cong :premises (@p425 @p535) :args (@t172)) % 0.40/0.66 (step @p537 :rule cong :premises (@p428 @p536) :args (@t173)) % 0.40/0.66 (step @p538 :rule cong :premises (@p431 @p537) :args (@t174)) % 0.40/0.66 (step @p539 :rule cong :premises (@p434 @p538) :args (@t175)) % 0.40/0.66 (step @p540 :rule cong :premises (@p437 @p539) :args (@t176)) % 0.40/0.66 (step @p541 :rule cong :premises (@p540) :args (@t177)) % 0.40/0.66 (step @p542 :rule trans :premises (@p541 @p441)) % 0.40/0.66 (step @p543 false :rule eq_resolve :premises (@p77 @p542)) % 0.40/0.66 ) % 0.40/0.66 % SZS output end Proof % 0.40/0.66 % cvc5 exiting %------------------------------------------------------------------------------