%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU583^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:17 AM UTC 2026 % Result : Theorem 0.37s 0.65s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU583^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:42:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.52 %----Proving TH0 % 0.37/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.65 % SZS status Theorem % 0.37/0.65 % SZS output start Proof % 0.37/0.65 ( % 0.37/0.65 (declare-sort $$unsorted 0) % 0.37/0.65 (declare-const tptp.emptyset $$unsorted) % 0.37/0.65 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.powersetsubset Bool) % 0.37/0.65 (declare-const tptp.setextsub Bool) % 0.37/0.65 (declare-const tptp.setadjoinSub2 Bool) % 0.37/0.65 (declare-const tptp.setadjoinSub Bool) % 0.37/0.65 (declare-const tptp.notequalI2 Bool) % 0.37/0.65 (declare-const tptp.notsubsetI Bool) % 0.37/0.65 (declare-const tptp.emptysetsubset Bool) % 0.37/0.65 (declare-const tptp.subsetI2 Bool) % 0.37/0.65 (declare-const tptp.powerset__Cong Bool) % 0.37/0.65 (declare-const tptp.setadjoin__Cong Bool) % 0.37/0.65 (declare-const tptp.emptyset__Cong Bool) % 0.37/0.65 (declare-const tptp.exu__Cong Bool) % 0.37/0.65 (declare-const tptp.in__Cong Bool) % 0.37/0.65 (declare-const tptp.inCongP Bool) % 0.37/0.65 (declare-const tptp.subsetE2 Bool) % 0.37/0.65 (declare-const tptp.exuI3 Bool) % 0.37/0.65 (declare-const tptp.subsetE Bool) % 0.37/0.65 (declare-const tptp.exuI1 Bool) % 0.37/0.65 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.subsetI1 Bool) % 0.37/0.65 (declare-const tptp.quantDeMorgan3 Bool) % 0.37/0.65 (declare-const tptp.quantDeMorgan2 Bool) % 0.37/0.65 (declare-const tptp.sepSubset Bool) % 0.37/0.65 (declare-const tptp.dsetconstr__Cong Bool) % 0.37/0.65 (declare-const tptp.quantDeMorgan1 Bool) % 0.37/0.65 (declare-const tptp.sepInPowerset Bool) % 0.37/0.65 (declare-const tptp.vacuousDall Bool) % 0.37/0.65 (declare-const tptp.exuE3e Bool) % 0.37/0.65 (declare-const tptp.notequalI1 Bool) % 0.37/0.65 (declare-const tptp.emptysetE Bool) % 0.37/0.65 (declare-const tptp.omega__Cong Bool) % 0.37/0.65 (declare-const tptp.setadjoinIL Bool) % 0.37/0.65 (declare-const tptp.prop2setE Bool) % 0.37/0.65 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.37/0.65 (declare-const tptp.dsetconstrI Bool) % 0.37/0.65 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.descrp Bool) % 0.37/0.65 (declare-const tptp.setext Bool) % 0.37/0.65 (declare-const tptp.nonemptyImpWitness Bool) % 0.37/0.65 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.37/0.65 (declare-const tptp.wellorderingAx Bool) % 0.37/0.65 (declare-const tptp.dsetconstrEL Bool) % 0.37/0.65 (declare-const tptp.prop2setI Bool) % 0.37/0.65 (declare-const tptp.emptyinPowerset Bool) % 0.37/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.setextAx Bool) % 0.37/0.65 (declare-const tptp.binunionIL Bool) % 0.37/0.65 (declare-const tptp.setadjoinOr Bool) % 0.37/0.65 (declare-const tptp.subsetTrans Bool) % 0.37/0.65 (declare-const tptp.exuE3u Bool) % 0.37/0.65 (declare-const tptp.uniqinunit Bool) % 0.37/0.65 (declare-const tptp.subsetRefl Bool) % 0.37/0.65 (declare-const tptp.notinemptyset Bool) % 0.37/0.65 (declare-const tptp.setadjoinIR Bool) % 0.37/0.65 (declare-const tptp.exuE2 Bool) % 0.37/0.65 (declare-const tptp.foundationAx Bool) % 0.37/0.65 (declare-const tptp.emptysetimpfalse Bool) % 0.37/0.65 (declare-const tptp.notdallE Bool) % 0.37/0.65 (declare-const tptp.dsetconstrER Bool) % 0.37/0.65 (declare-const tptp.eqimpsubset1 Bool) % 0.37/0.65 (declare-const tptp.emptyInPowerset Bool) % 0.37/0.65 (declare-const tptp.exuEu Bool) % 0.37/0.65 (declare-const tptp.setadjoinAx Bool) % 0.37/0.65 (declare-const tptp.subsetemptysetimpeq Bool) % 0.37/0.65 (declare-const tptp.nonemptyE1 Bool) % 0.37/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.eqimpsubset2 Bool) % 0.37/0.65 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.37/0.65 (declare-const tptp.powersetAx Bool) % 0.37/0.65 (declare-const tptp.setoftrueEq Bool) % 0.37/0.65 (declare-const tptp.setunionAx Bool) % 0.37/0.65 (declare-const tptp.omega $$unsorted) % 0.37/0.65 (declare-const tptp.omegaIndAx Bool) % 0.37/0.65 (declare-const tptp.quantDeMorgan4 Bool) % 0.37/0.65 (declare-const tptp.powersetI Bool) % 0.37/0.65 (declare-const tptp.replAx Bool) % 0.37/0.65 (declare-const tptp.upairsetE Bool) % 0.37/0.65 (declare-const tptp.omega0Ax Bool) % 0.37/0.65 (declare-const tptp.emptyI Bool) % 0.37/0.65 (declare-const tptp.noeltsimpempty Bool) % 0.37/0.65 (declare-const tptp.eqinunit Bool) % 0.37/0.65 (declare-const tptp.powersetI1 Bool) % 0.37/0.65 (declare-const tptp.upairsetIL Bool) % 0.37/0.65 (declare-const tptp.nonemptyI Bool) % 0.37/0.65 (declare-const tptp.emptysetAx Bool) % 0.37/0.65 (declare-const tptp.nonemptyI1 Bool) % 0.37/0.65 (declare-const tptp.descr__Cong Bool) % 0.37/0.65 (declare-const tptp.emptyinunitempty Bool) % 0.37/0.65 (declare-const tptp.setadjoinE Bool) % 0.37/0.65 (declare-const tptp.prop2set2propI Bool) % 0.37/0.65 (declare-const tptp.omegaSAx Bool) % 0.37/0.65 (declare-const tptp.powersetE Bool) % 0.37/0.65 (declare-const tptp.notdexE Bool) % 0.37/0.65 (declare-const tptp.setunionI Bool) % 0.37/0.65 (declare-const tptp.exuE1 Bool) % 0.37/0.65 (declare-const tptp.setunionE Bool) % 0.37/0.65 (declare-const tptp.exuI2 Bool) % 0.37/0.65 (declare-const tptp.subPowSU Bool) % 0.37/0.65 (declare-const tptp.notinsingleton Bool) % 0.37/0.65 (declare-const tptp.subset2powerset Bool) % 0.37/0.65 (declare-const tptp.setbeta Bool) % 0.37/0.65 (declare-const tptp.singletonsswitch Bool) % 0.37/0.65 (declare-const tptp.powersetE1 Bool) % 0.37/0.65 (declare-const tptp.setunion__Cong Bool) % 0.37/0.65 (declare-const tptp.upairsetIR Bool) % 0.37/0.65 (declare-const tptp.inPowerset Bool) % 0.37/0.65 (declare-const tptp.emptyE1 Bool) % 0.37/0.65 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.37/0.65 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.37/0.65 (define tptp.binunion () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.setunion (_ (_ tptp.setadjoin _let_2) (_ (_ tptp.setadjoin _let_1) tptp.emptyset))))))) % 0.37/0.65 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.65 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.65 (define @t3 () (= @t2 @t1)) % 0.37/0.65 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.65 (define @t5 () (_ tptp.in @t4)) % 0.37/0.65 (define @t6 () (_ @t5 @t1)) % 0.37/0.65 (define @t7 () (_ @t5 @t2)) % 0.37/0.65 (define @t8 () (@list @t4)) % 0.37/0.65 (define @t9 () (@list @t2 @t1)) % 0.37/0.65 (define @t10 () (_ @t5 tptp.emptyset)) % 0.37/0.65 (define @t11 () (forall @t8 (not @t10))) % 0.37/0.65 (define @t12 () (@var "Xy" $$unsorted)) % 0.37/0.65 (define @t13 () (_ tptp.in @t12)) % 0.37/0.65 (define @t14 () (_ @t13 @t2)) % 0.37/0.65 (define @t15 () (= @t12 @t4)) % 0.37/0.65 (define @t16 () (or @t15 @t14)) % 0.37/0.65 (define @t17 () (_ tptp.setadjoin @t4)) % 0.37/0.65 (define @t18 () (_ @t17 @t2)) % 0.37/0.65 (define @t19 () (_ @t13 @t18)) % 0.37/0.65 (define @t20 () (@list @t4 @t2 @t12)) % 0.37/0.65 (define @t21 () (=> @t6 @t7)) % 0.37/0.65 (define @t22 () (forall @t8 @t21)) % 0.37/0.65 (define @t23 () (_ tptp.powerset @t2)) % 0.37/0.65 (define @t24 () (_ tptp.in @t1)) % 0.37/0.65 (define @t25 () (_ @t24 @t23)) % 0.37/0.65 (define @t26 () (_ @t24 @t2)) % 0.37/0.65 (define @t27 () (@list @t1)) % 0.37/0.65 (define @t28 () (_ tptp.setunion @t2)) % 0.37/0.65 (define @t29 () (_ @t5 @t28)) % 0.37/0.65 (define @t30 () (@list @t2 @t4)) % 0.37/0.65 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.37/0.65 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.37/0.65 (define @t33 () (_ @t5 tptp.omega)) % 0.37/0.65 (define @t34 () (@list @t2)) % 0.37/0.65 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.37/0.65 (define @t36 () (@list @t12)) % 0.37/0.65 (define @t37 () (exists @t8 @t7)) % 0.37/0.65 (define @t38 () (@var "E" $$unsorted)) % 0.37/0.65 (define @t39 () (@var "D" $$unsorted)) % 0.37/0.65 (define @t40 () (_ @t13 @t39)) % 0.37/0.65 (define @t41 () (@var "C" $$unsorted)) % 0.37/0.65 (define @t42 () (_ @t13 @t41)) % 0.37/0.65 (define @t43 () (_ @t5 @t41)) % 0.37/0.65 (define @t44 () (_ (_ tptp.in @t39) @t1)) % 0.37/0.65 (define @t45 () (forall @t8 (=> @t43 @t7))) % 0.37/0.65 (define @t46 () (@list @t41)) % 0.37/0.65 (define @t47 () (_ @t5 @t39)) % 0.37/0.65 (define @t48 () (_ (_ tptp.in @t41) @t1)) % 0.37/0.65 (define @t49 () (= @t4 @t12)) % 0.37/0.65 (define @t50 () (@list @t4 @t12)) % 0.37/0.65 (define @t51 () (@var "Xphi" (-> $$unsorted Bool))) % 0.37/0.65 (define @t52 () (_ @t51 @t4)) % 0.37/0.65 (define @t53 () (lambda @t8 @t52)) % 0.37/0.65 (define @t54 () (_ tptp.descr @t53)) % 0.37/0.65 (define @t55 () (_ tptp.exu @t53)) % 0.37/0.65 (define @t56 () (@list @t51)) % 0.37/0.65 (define @t57 () (_ @t51 @t12)) % 0.37/0.65 (define @t58 () (_ tptp.dsetconstr @t2)) % 0.37/0.65 (define @t59 () (_ @t58 (lambda @t36 @t57))) % 0.37/0.65 (define @t60 () (_ @t5 @t59)) % 0.37/0.65 (define @t61 () (@list @t2 @t51 @t4)) % 0.37/0.65 (define @t62 () (=> @t57 @t49)) % 0.37/0.65 (define @t63 () (exists @t8 (and @t52 (forall @t36 @t62)))) % 0.37/0.65 (define @t64 () (@var "Xphi" Bool)) % 0.37/0.65 (define @t65 () (_ tptp.prop2set @t64)) % 0.37/0.65 (define @t66 () (@list @t64)) % 0.37/0.65 (define @t67 () (exists @t8 @t52)) % 0.37/0.65 (define @t68 () (=> @t7 @t6)) % 0.37/0.65 (define @t69 () (forall @t8 @t68)) % 0.37/0.65 (define @t70 () (= @t2 tptp.emptyset)) % 0.37/0.65 (define @t71 () (not @t7)) % 0.37/0.65 (define @t72 () (forall @t34 (=> (forall @t8 @t71) @t70))) % 0.37/0.65 (define @t73 () (_ tptp.nonempty @t2)) % 0.37/0.65 (define @t74 () (forall @t34 (_ @t31 @t23))) % 0.37/0.65 (define @t75 () (@list @t2 @t1 @t4)) % 0.37/0.65 (define @t76 () (@list @t2 @t4 @t1)) % 0.37/0.65 (define @t77 () (exists @t8 (forall @t36 (= @t57 @t15)))) % 0.37/0.65 (define @t78 () (_ tptp.setadjoin @t12)) % 0.37/0.65 (define @t79 () (_ @t78 tptp.emptyset)) % 0.37/0.65 (define @t80 () (_ @t5 @t79)) % 0.37/0.65 (define @t81 () (_ @t13 (_ @t17 tptp.emptyset))) % 0.37/0.65 (define @t82 () (@var "Xz" $$unsorted)) % 0.37/0.65 (define @t83 () (_ @t17 @t79)) % 0.37/0.65 (define @t84 () (_ @t13 @t83)) % 0.37/0.65 (define @t85 () (forall @t50 @t84)) % 0.37/0.65 (define @t86 () (= tptp.upairsetIR @t85)) % 0.37/0.65 (define @t87 () (_ @t58 @t53)) % 0.37/0.65 (define @t88 () (exists @t8 (and @t7 @t52))) % 0.37/0.65 (define @t89 () (@list @t2 @t51)) % 0.37/0.65 (define @t90 () (not @t52)) % 0.37/0.65 (define @t91 () (exists @t8 (and @t7 @t90))) % 0.37/0.65 (define @t92 () (not (forall @t8 (=> @t7 @t52)))) % 0.37/0.65 (define @t93 () (forall @t89 (=> @t92 @t91))) % 0.37/0.65 (define @t94 () (not @t88)) % 0.37/0.65 (define @t95 () (forall @t8 (=> @t7 @t90))) % 0.37/0.65 (define @t96 () (forall @t89 (=> @t94 @t95))) % 0.37/0.65 (define @t97 () (forall @t50 (=> @t52 @t62))) % 0.37/0.65 (define @t98 () (_ @t13 @t1)) % 0.37/0.65 (define @t99 () (forall @t56 (=> @t55 @t97))) % 0.37/0.65 (define @t100 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.37/0.65 (define @t101 () (lambda @t8 (_ @t100 @t4))) % 0.37/0.65 (define @t102 () (_ tptp.exu @t101)) % 0.37/0.65 (define @t103 () (=> @t49 (= @t52 (_ @t100 @t12)))) % 0.37/0.65 (define @t104 () (forall @t50 @t103)) % 0.37/0.65 (define @t105 () (@list @t51 @t100)) % 0.37/0.65 (define @t106 () (@var "Xu" $$unsorted)) % 0.37/0.65 (define @t107 () (_ tptp.powerset @t1)) % 0.37/0.65 (define @t108 () (_ tptp.subset @t2)) % 0.37/0.65 (define @t109 () (_ @t108 @t1)) % 0.37/0.65 (define @t110 () (forall @t9 (=> @t69 @t109))) % 0.37/0.65 (define @t111 () (_ tptp.subset @t1)) % 0.37/0.65 (define @t112 () (_ @t111 @t2)) % 0.37/0.65 (define @t113 () (not @t6)) % 0.37/0.65 (define @t114 () (not @t109)) % 0.37/0.65 (define @t115 () (not @t3)) % 0.37/0.65 (define @t116 () (_ tptp.in @t2)) % 0.37/0.65 (define @t117 () (=> tptp.binunionIL @t85)) % 0.37/0.65 (define @t118 () (=> tptp.sepSubset @t117)) % 0.37/0.65 (define @t119 () (=> tptp.sepInPowerset @t118)) % 0.37/0.65 (define @t120 () (=> tptp.powersetsubset @t119)) % 0.37/0.65 (define @t121 () (=> tptp.inPowerset @t120)) % 0.37/0.65 (define @t122 () (=> tptp.powersetE1 @t121)) % 0.37/0.65 (define @t123 () (=> tptp.powersetI1 @t122)) % 0.37/0.65 (define @t124 () (=> tptp.subsetemptysetimpeq @t123)) % 0.37/0.65 (define @t125 () (=> tptp.setextsub @t124)) % 0.37/0.65 (define @t126 () (=> tptp.subset2powerset @t125)) % 0.37/0.65 (define @t127 () (=> tptp.setadjoinSub2 @t126)) % 0.37/0.65 (define @t128 () (=> tptp.setadjoinSub @t127)) % 0.37/0.65 (define @t129 () (=> tptp.subsetTrans @t128)) % 0.37/0.65 (define @t130 () (=> tptp.subsetRefl @t129)) % 0.37/0.65 (define @t131 () (=> tptp.notequalI2 @t130)) % 0.37/0.65 (define @t132 () (=> tptp.notequalI1 @t131)) % 0.37/0.65 (define @t133 () (=> tptp.notsubsetI @t132)) % 0.37/0.65 (define @t134 () (=> tptp.subsetE2 @t133)) % 0.37/0.65 (define @t135 () (=> tptp.subsetE @t134)) % 0.37/0.65 (define @t136 () (=> tptp.emptysetsubset @t135)) % 0.37/0.65 (define @t137 () (=> tptp.subsetI2 @t136)) % 0.37/0.65 (define @t138 () (=> tptp.eqimpsubset1 @t137)) % 0.37/0.65 (define @t139 () (=> tptp.eqimpsubset2 @t138)) % 0.37/0.65 (define @t140 () (=> tptp.subsetI1 @t139)) % 0.37/0.65 (define @t141 () (=> tptp.dsetconstr__Cong @t140)) % 0.37/0.65 (define @t142 () (=> tptp.descr__Cong @t141)) % 0.37/0.65 (define @t143 () (=> tptp.exuEu @t142)) % 0.37/0.65 (define @t144 () (=> tptp.omega__Cong @t143)) % 0.37/0.65 (define @t145 () (=> tptp.setunion__Cong @t144)) % 0.37/0.65 (define @t146 () (=> tptp.powerset__Cong @t145)) % 0.37/0.65 (define @t147 () (=> tptp.setadjoin__Cong @t146)) % 0.37/0.65 (define @t148 () (=> tptp.emptyset__Cong @t147)) % 0.37/0.65 (define @t149 () (=> tptp.exu__Cong @t148)) % 0.37/0.65 (define @t150 () (=> tptp.exuE3u @t149)) % 0.37/0.65 (define @t151 () (=> tptp.in__Cong @t150)) % 0.37/0.65 (define @t152 () (=> tptp.inCongP @t151)) % 0.37/0.65 (define @t153 () (=> tptp.exuI2 @t152)) % 0.37/0.65 (define @t154 () (=> tptp.exuI3 @t153)) % 0.37/0.65 (define @t155 () (=> tptp.exuI1 @t154)) % 0.37/0.65 (define @t156 () (=> tptp.notdallE @t155)) % 0.37/0.65 (define @t157 () (=> tptp.notdexE @t156)) % 0.37/0.65 (define @t158 () (=> tptp.prop2set2propI @t157)) % 0.37/0.65 (define @t159 () (=> tptp.prop2setI @t158)) % 0.37/0.65 (define @t160 () (=> tptp.quantDeMorgan4 @t159)) % 0.37/0.65 (define @t161 () (=> tptp.quantDeMorgan3 @t160)) % 0.37/0.65 (define @t162 () (=> tptp.quantDeMorgan2 @t161)) % 0.37/0.65 (define @t163 () (=> tptp.quantDeMorgan1 @t162)) % 0.37/0.65 (define @t164 () (=> tptp.vacuousDall @t163)) % 0.37/0.65 (define @t165 () (=> tptp.emptyE1 @t164)) % 0.37/0.65 (define @t166 () (=> tptp.upairsetIR @t165)) % 0.37/0.65 (define @t167 () (=> tptp.upairsetIL @t166)) % 0.37/0.65 (define @t168 () (=> tptp.upairsetE @t167)) % 0.37/0.65 (define @t169 () (=> tptp.singletonsswitch @t168)) % 0.37/0.65 (define @t170 () (=> tptp.eqinunit @t169)) % 0.37/0.65 (define @t171 () (=> tptp.notinsingleton @t170)) % 0.37/0.65 (define @t172 () (=> tptp.uniqinunit @t171)) % 0.37/0.65 (define @t173 () (=> tptp.nonemptyImpWitness @t172)) % 0.37/0.65 (define @t174 () (=> tptp.exuE2 @t173)) % 0.37/0.65 (define @t175 () (=> tptp.subPowSU @t174)) % 0.37/0.65 (define @t176 () (=> tptp.setunionE @t175)) % 0.37/0.65 (define @t177 () (=> tptp.setunionI @t176)) % 0.37/0.65 (define @t178 () (=> tptp.powersetE @t177)) % 0.37/0.65 (define @t179 () (=> tptp.emptyInPowerset @t178)) % 0.37/0.65 (define @t180 () (=> tptp.emptyinPowerset @t179)) % 0.37/0.65 (define @t181 () (=> tptp.powersetI @t180)) % 0.37/0.65 (define @t182 () (=> tptp.setoftrueEq @t181)) % 0.37/0.65 (define @t183 () (=> tptp.setadjoinOr @t182)) % 0.37/0.65 (define @t184 () (=> tptp.setadjoinE @t183)) % 0.37/0.65 (define @t185 () (=> tptp.setadjoinIR @t184)) % 0.37/0.65 (define @t186 () (=> tptp.emptyinunitempty @t185)) % 0.37/0.65 (define @t187 () (=> tptp.setadjoinIL @t186)) % 0.37/0.65 (define @t188 () (=> tptp.nonemptyI1 @t187)) % 0.37/0.65 (define @t189 () (=> tptp.nonemptyI @t188)) % 0.37/0.65 (define @t190 () (=> tptp.nonemptyE1 @t189)) % 0.37/0.65 (define @t191 () (=> tptp.setbeta @t190)) % 0.37/0.65 (define @t192 () (=> tptp.noeltsimpempty @t191)) % 0.37/0.65 (define @t193 () (=> tptp.emptyI @t192)) % 0.37/0.65 (define @t194 () (=> tptp.setext @t193)) % 0.37/0.65 (define @t195 () (=> tptp.exuE3e @t194)) % 0.37/0.65 (define @t196 () (=> tptp.notinemptyset @t195)) % 0.37/0.65 (define @t197 () (=> tptp.emptysetimpfalse @t196)) % 0.37/0.65 (define @t198 () (=> tptp.emptysetE @t197)) % 0.37/0.65 (define @t199 () (=> tptp.prop2setE @t198)) % 0.37/0.65 (define @t200 () (=> tptp.exuE1 @t199)) % 0.37/0.65 (define @t201 () (=> tptp.dsetconstrER @t200)) % 0.37/0.65 (define @t202 () (=> tptp.dsetconstrEL @t201)) % 0.37/0.65 (define @t203 () (=> tptp.dsetconstrI @t202)) % 0.37/0.65 (define @t204 () (=> tptp.descrp @t203)) % 0.37/0.65 (define @t205 () (=> tptp.wellorderingAx @t204)) % 0.37/0.65 (define @t206 () (=> tptp.foundationAx @t205)) % 0.37/0.65 (define @t207 () (=> tptp.replAx @t206)) % 0.37/0.65 (define @t208 () (=> tptp.omegaIndAx @t207)) % 0.37/0.65 (define @t209 () (=> tptp.omegaSAx @t208)) % 0.37/0.65 (define @t210 () (=> tptp.omega0Ax @t209)) % 0.37/0.65 (define @t211 () (=> tptp.setunionAx @t210)) % 0.37/0.65 (define @t212 () (=> tptp.powersetAx @t211)) % 0.37/0.65 (define @t213 () (=> tptp.setadjoinAx @t212)) % 0.37/0.65 (define @t214 () (=> tptp.emptysetAx @t213)) % 0.37/0.65 (define @t215 () (=> tptp.setextAx @t214)) % 0.37/0.65 (define @t216 () (not @t215)) % 0.37/0.65 (define @t217 () (lambda @t56 @t63)) % 0.37/0.65 (define @t218 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.37/0.65 (define @t219 () (lambda @t50 (_ tptp.setunion @t83))) % 0.37/0.65 (define @t220 () (tptp.setadjoin @t12 tptp.emptyset)) % 0.37/0.65 (define @t221 () (tptp.setadjoin @t4 @t220)) % 0.37/0.65 (define @t222 () (tptp.in @t12 @t221)) % 0.37/0.65 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.37/0.65 (assume @p2 (= tptp.emptysetAx @t11)) % 0.37/0.65 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.37/0.65 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.37/0.65 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.37/0.65 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.37/0.65 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.37/0.65 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.37/0.65 (assume @p9 (= tptp.replAx (forall (@list @t35 @t2) (=> (forall @t8 (=> @t7 (_ tptp.exu (lambda @t36 (_ (_ @t35 @t4) @t12))))) (exists @t27 (forall @t8 (= @t6 (exists @t36 (and @t14 (_ (_ @t35 @t12) @t4)))))))))) % 0.37/0.65 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t37 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.37/0.65 (assume @p11 (= tptp.wellorderingAx (forall @t34 (exists @t27 (and (forall @t46 (=> @t48 @t45)) (forall @t50 (=> (and @t7 @t14) (=> (forall @t46 (=> @t48 (= @t43 @t42))) @t49))) (forall (@list @t41 @t39) (=> (and @t48 @t44) (or (forall @t8 (=> @t43 @t47)) (forall @t8 (=> @t47 @t43))))) (forall @t46 (=> (and @t45 (exists @t8 @t43)) (exists (@list @t39 @t4) (and @t44 @t43 (not (exists @t36 (and @t40 @t42))) (forall (@list @t38) (=> (_ (_ tptp.in @t38) @t1) (or (forall @t36 (=> (_ @t13 @t38) @t40)) (_ @t5 @t38))))))))))))) % 0.37/0.65 (assume @p12 (= tptp.descrp (forall @t56 (=> @t55 (_ @t51 @t54))))) % 0.37/0.65 (assume @p13 (= tptp.dsetconstrI (forall @t61 (=> @t7 (=> @t52 @t60))))) % 0.37/0.65 (assume @p14 (= tptp.dsetconstrEL (forall @t61 (=> @t60 @t7)))) % 0.37/0.65 (assume @p15 (= tptp.dsetconstrER (forall @t61 (=> @t60 @t52)))) % 0.37/0.65 (assume @p16 (= tptp.exuE1 (forall @t56 (=> @t55 @t63)))) % 0.37/0.65 (assume @p17 (= tptp.prop2setE (forall (@list @t64 @t4) (=> (_ @t5 @t65) @t64)))) % 0.37/0.65 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t66 @t64))))) % 0.37/0.65 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.37/0.65 (assume @p20 (= tptp.notinemptyset @t11)) % 0.37/0.65 (assume @p21 (= tptp.exuE3e (forall @t56 (=> @t55 @t67)))) % 0.37/0.65 (assume @p22 (= tptp.setext (forall @t9 (=> @t69 (=> @t22 @t3))))) % 0.37/0.65 (assume @p23 (= tptp.emptyI @t72)) % 0.37/0.65 (assume @p24 (= tptp.noeltsimpempty @t72)) % 0.37/0.65 (assume @p25 (= tptp.setbeta (forall @t61 (=> @t7 (= @t60 @t52))))) % 0.37/0.65 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t73 @t37)))) % 0.37/0.65 (assume @p27 (= tptp.nonemptyI (forall @t61 (=> @t7 (=> @t52 (_ tptp.nonempty @t59)))))) % 0.37/0.65 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t37 @t73)))) % 0.37/0.65 (assume @p29 (= tptp.setadjoinIL (forall @t50 (_ @t5 (_ @t17 @t12))))) % 0.37/0.65 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.37/0.65 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.37/0.65 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t66 (=> (=> @t15 @t64) (=> (=> @t14 @t64) @t64))))))) % 0.37/0.65 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.37/0.65 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t58 (lambda @t8 true)) @t2)))) % 0.37/0.65 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.37/0.65 (assume @p36 (= tptp.emptyinPowerset @t74)) % 0.37/0.65 (assume @p37 (= tptp.emptyInPowerset @t74)) % 0.37/0.65 (assume @p38 (= tptp.powersetE (forall @t75 (=> @t25 @t21)))) % 0.37/0.65 (assume @p39 (= tptp.setunionI (forall @t76 (=> @t6 (=> @t26 @t29))))) % 0.37/0.65 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t66 (=> (forall @t27 (=> @t6 (=> @t26 @t64))) @t64)))))) % 0.37/0.65 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.37/0.65 (assume @p42 (= tptp.exuE2 (forall @t56 (=> @t55 @t77)))) % 0.37/0.65 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t73 (exists @t8 (and @t7 true)))))) % 0.37/0.65 (assume @p44 (= tptp.uniqinunit (forall @t50 (=> @t80 @t49)))) % 0.37/0.65 (assume @p45 (= tptp.notinsingleton (forall @t50 (=> (not @t49) (not @t81))))) % 0.37/0.65 (assume @p46 (= tptp.eqinunit (forall @t50 (=> @t49 @t80)))) % 0.37/0.65 (assume @p47 (= tptp.singletonsswitch (forall @t50 (=> @t80 @t81)))) % 0.37/0.65 (assume @p48 (= tptp.upairsetE (forall (@list @t4 @t12 @t82) (=> (_ (_ tptp.in @t82) @t83) (or (= @t82 @t4) (= @t82 @t12)))))) % 0.37/0.65 (assume @p49 (= tptp.upairsetIL (forall @t50 (_ @t5 @t83)))) % 0.37/0.65 (assume @p50 @t86) % 0.37/0.65 (assume @p51 (= tptp.emptyE1 (forall @t89 (=> @t88 (=> (= @t87 tptp.emptyset) false))))) % 0.37/0.65 (assume @p52 (= tptp.vacuousDall (forall (@list @t51 @t4) (=> @t10 @t52)))) % 0.37/0.65 (assume @p53 (= tptp.quantDeMorgan1 @t93)) % 0.37/0.65 (assume @p54 (= tptp.quantDeMorgan2 (forall @t89 (=> @t95 @t94)))) % 0.37/0.65 (assume @p55 (= tptp.quantDeMorgan3 @t96)) % 0.37/0.65 (assume @p56 (= tptp.quantDeMorgan4 (forall @t89 (=> @t91 @t92)))) % 0.37/0.65 (assume @p57 (= tptp.prop2setI (forall @t66 (=> @t64 (_ @t31 @t65))))) % 0.37/0.65 (assume @p58 (= tptp.prop2set2propI (forall @t66 (=> @t64 (_ tptp.set2prop @t65))))) % 0.37/0.65 (assume @p59 (= tptp.notdexE @t96)) % 0.37/0.65 (assume @p60 (= tptp.notdallE @t93)) % 0.37/0.65 (assume @p61 (= tptp.exuI1 (forall @t56 (=> @t63 @t55)))) % 0.37/0.65 (assume @p62 (= tptp.exuI3 (forall @t56 (=> @t67 (=> @t97 @t55))))) % 0.37/0.65 (assume @p63 (= tptp.exuI2 (forall @t56 (=> @t77 @t55)))) % 0.37/0.65 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t50 (=> @t49 (=> @t7 @t98))))))) % 0.37/0.65 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t50 (=> @t49 (= @t7 @t98))))))) % 0.37/0.65 (assume @p66 (= tptp.exuE3u @t99)) % 0.37/0.65 (assume @p67 (= tptp.exu__Cong (forall @t105 (=> @t104 (= @t55 @t102))))) % 0.37/0.65 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.37/0.65 (assume @p69 (= tptp.setadjoin__Cong (forall @t50 (=> @t49 (forall (@list @t82 @t106) (=> (= @t82 @t106) (= (_ @t17 @t82) (_ @t78 @t106)))))))) % 0.37/0.65 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t107))))) % 0.37/0.65 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.37/0.65 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.37/0.65 (assume @p73 (= tptp.exuEu @t99)) % 0.37/0.65 (assume @p74 (= tptp.descr__Cong (forall @t105 (=> @t104 (=> @t55 (=> @t102 (= @t54 (_ tptp.descr @t101)))))))) % 0.37/0.65 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t105 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t98 @t103)))) (= @t87 (_ (_ tptp.dsetconstr @t1) @t101)))))))) % 0.37/0.65 (assume @p76 (= tptp.subsetI1 @t110)) % 0.37/0.65 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t112)))) % 0.37/0.65 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t109)))) % 0.37/0.65 (assume @p79 (= tptp.subsetI2 @t110)) % 0.37/0.65 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.37/0.65 (assume @p81 (= tptp.subsetE (forall @t75 (=> @t109 @t68)))) % 0.37/0.65 (assume @p82 (= tptp.subsetE2 (forall @t75 (=> @t109 (=> @t113 @t71))))) % 0.37/0.65 (assume @p83 (= tptp.notsubsetI (forall @t75 (=> @t7 (=> @t113 @t114))))) % 0.37/0.65 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t114 @t115)))) % 0.37/0.65 (assume @p85 (= tptp.notequalI2 (forall @t75 (=> @t7 (=> @t113 @t115))))) % 0.37/0.65 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t108 @t2)))) % 0.37/0.65 (assume @p87 (= tptp.subsetTrans (forall (@list @t2 @t1 @t41) (=> @t109 (=> (_ @t111 @t41) (_ @t108 @t41)))))) % 0.37/0.65 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t108 @t18)))) % 0.37/0.65 (assume @p89 (= tptp.setadjoinSub2 (forall @t76 (=> @t109 (_ @t108 (_ @t17 @t1)))))) % 0.37/0.65 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t109 (_ @t116 @t107))))) % 0.37/0.65 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t109 (=> @t112 @t3))))) % 0.37/0.65 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t108 tptp.emptyset) @t70)))) % 0.37/0.65 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t112 @t25)))) % 0.37/0.65 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t112)))) % 0.37/0.65 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t116 @t23)))) % 0.37/0.65 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t109 (_ (_ tptp.subset @t23) @t107))))) % 0.37/0.65 (assume @p97 (= tptp.sepInPowerset (forall @t89 (_ (_ tptp.in @t87) @t23)))) % 0.37/0.65 (assume @p98 (= tptp.sepSubset (forall @t89 (_ (_ tptp.subset @t87) @t2)))) % 0.37/0.65 (assume @p99 (= tptp.binunionIL (forall @t75 (=> @t7 (_ @t5 (_ (_ tptp.binunion @t2) @t1)))))) % 0.37/0.65 (assume @p100 @t216) % 0.37/0.65 (assume @p101 true) % 0.37/0.65 (step @p102 (= tptp.exu @t217) :rule refl :args (@t217)) % 0.37/0.65 (step @p103 (= tptp.nonempty @t218) :rule refl :args (@t218)) % 0.37/0.65 (step @p104 (= tptp.binunion @t219) :rule refl :args (@t219)) % 0.37/0.65 (step @p105 :rule refl :args ((tptp.in @t12 @t83))) % 0.37/0.65 (step @p106 :rule refl :args ((tptp.setadjoin @t4 @t79))) % 0.37/0.65 (step @p107 :rule refl :args (@t220)) % 0.37/0.65 (step @p108 :rule refl :args (@t4)) % 0.37/0.65 (step @p109 :rule cong :premises (@p108 @p107) :args (@t221)) % 0.37/0.65 (step @p110 :rule trans :premises (@p109 @p106)) % 0.37/0.65 (step @p111 :rule refl :args (@t12)) % 0.37/0.65 (step @p112 :rule cong :premises (@p111 @p110) :args (@t222)) % 0.37/0.65 (step @p113 :rule trans :premises (@p112 @p105)) % 0.37/0.65 (step @p114 :rule refl :args (@t13)) % 0.37/0.65 (step @p115 :rule ho_cong :premises (@p114 @p110)) % 0.37/0.65 (step @p116 :rule cong :premises (@p115 @p113) :args ((= (_ @t13 @t221) @t222))) % 0.37/0.65 (step @p117 :rule symm :premises (@p116)) % 0.37/0.65 (step @p118 :rule refl :args (@t84)) % 0.37/0.65 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.37/0.65 (step @p120 :rule refl :args (@t17)) % 0.37/0.65 (step @p121 :rule ho_cong :premises (@p120 @p107)) % 0.37/0.65 (step @p122 :rule cong :premises (@p121 @p110) :args ((= (_ @t17 @t220) @t221))) % 0.37/0.65 (step @p123 :rule symm :premises (@p122)) % 0.37/0.65 (step @p124 :rule refl :args (@t83)) % 0.37/0.65 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 0.37/0.65 (step @p126 :rule refl :args (@t79)) % 0.37/0.65 (step @p127 :rule cong :premises (@p126 @p107) :args ((= @t79 @t220))) % 0.37/0.65 (step @p128 :rule symm :premises (@p127)) % 0.37/0.65 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.37/0.65 (step @p130 :rule ho_cong :premises (@p120 @p129)) % 0.37/0.65 (step @p131 :rule trans :premises (@p130 @p125)) % 0.37/0.65 (step @p132 :rule ho_cong :premises (@p114 @p131)) % 0.37/0.65 (step @p133 :rule trans :premises 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:premises (@p325 @p324) :args (@t212)) % 0.37/0.65 (step @p327 :rule refl :args (tptp.setadjoinAx)) % 0.37/0.65 (step @p328 :rule cong :premises (@p327 @p326) :args (@t213)) % 0.37/0.65 (step @p329 :rule refl :args (tptp.emptysetAx)) % 0.37/0.65 (step @p330 :rule cong :premises (@p329 @p328) :args (@t214)) % 0.37/0.65 (step @p331 :rule refl :args (tptp.setextAx)) % 0.37/0.65 (step @p332 :rule cong :premises (@p331 @p330) :args (@t215)) % 0.37/0.65 (step @p333 :rule cong :premises (@p332) :args (@t216)) % 0.37/0.65 (step @p334 :rule eq_resolve :premises (@p100 @p333)) % 0.37/0.65 (step @p335 :rule not_implies_elim2 :premises (@p334)) % 0.37/0.65 (step @p336 :rule not_implies_elim2 :premises (@p335)) % 0.37/0.65 (step @p337 :rule not_implies_elim2 :premises (@p336)) % 0.37/0.65 (step @p338 :rule not_implies_elim2 :premises (@p337)) % 0.37/0.65 (step @p339 :rule not_implies_elim2 :premises (@p338)) % 0.37/0.65 (step @p340 :rule not_implies_elim2 :premises (@p339)) % 0.37/0.65 (step @p341 :rule not_implies_elim2 :premises (@p340)) % 0.37/0.65 (step @p342 :rule not_implies_elim2 :premises (@p341)) % 0.37/0.65 (step @p343 :rule not_implies_elim2 :premises (@p342)) % 0.37/0.65 (step @p344 :rule not_implies_elim2 :premises (@p343)) % 0.37/0.65 (step @p345 :rule not_implies_elim2 :premises (@p344)) % 0.37/0.65 (step @p346 :rule not_implies_elim2 :premises (@p345)) % 0.37/0.65 (step @p347 :rule not_implies_elim2 :premises (@p346)) % 0.37/0.65 (step @p348 :rule not_implies_elim2 :premises (@p347)) % 0.37/0.65 (step @p349 :rule not_implies_elim2 :premises (@p348)) % 0.37/0.65 (step @p350 :rule not_implies_elim2 :premises (@p349)) % 0.37/0.65 (step @p351 :rule not_implies_elim2 :premises (@p350)) % 0.37/0.65 (step @p352 :rule not_implies_elim2 :premises (@p351)) % 0.37/0.65 (step @p353 :rule not_implies_elim2 :premises (@p352)) % 0.37/0.65 (step @p354 :rule not_implies_elim2 :premises (@p353)) % 0.37/0.65 (step @p355 :rule not_implies_elim2 :premises (@p354)) % 0.37/0.65 (step @p356 :rule not_implies_elim2 :premises (@p355)) % 0.37/0.65 (step @p357 :rule not_implies_elim2 :premises (@p356)) % 0.37/0.65 (step @p358 :rule not_implies_elim2 :premises (@p357)) % 0.37/0.65 (step @p359 :rule not_implies_elim2 :premises (@p358)) % 0.37/0.65 (step @p360 :rule not_implies_elim2 :premises (@p359)) % 0.37/0.65 (step @p361 :rule not_implies_elim2 :premises (@p360)) % 0.37/0.65 (step @p362 :rule not_implies_elim2 :premises (@p361)) % 0.37/0.65 (step @p363 :rule not_implies_elim2 :premises (@p362)) % 0.37/0.65 (step @p364 :rule not_implies_elim2 :premises (@p363)) % 0.37/0.65 (step @p365 :rule not_implies_elim2 :premises (@p364)) % 0.37/0.65 (step @p366 :rule not_implies_elim2 :premises (@p365)) % 0.37/0.65 (step @p367 :rule not_implies_elim2 :premises (@p366)) % 0.37/0.65 (step @p368 :rule not_implies_elim2 :premises (@p367)) % 0.37/0.65 (step @p369 :rule not_implies_elim2 :premises (@p368)) % 0.37/0.65 (step @p370 :rule not_implies_elim2 :premises (@p369)) % 0.37/0.65 (step @p371 :rule not_implies_elim2 :premises (@p370)) % 0.37/0.65 (step @p372 :rule not_implies_elim2 :premises (@p371)) % 0.37/0.65 (step @p373 :rule not_implies_elim2 :premises (@p372)) % 0.37/0.65 (step @p374 :rule not_implies_elim2 :premises (@p373)) % 0.37/0.65 (step @p375 :rule not_implies_elim2 :premises (@p374)) % 0.37/0.65 (step @p376 :rule not_implies_elim2 :premises (@p375)) % 0.37/0.65 (step @p377 :rule not_implies_elim2 :premises (@p376)) % 0.37/0.65 (step @p378 :rule not_implies_elim2 :premises (@p377)) % 0.37/0.65 (step @p379 :rule not_implies_elim2 :premises (@p378)) % 0.37/0.65 (step @p380 :rule not_implies_elim2 :premises (@p379)) % 0.37/0.65 (step @p381 :rule not_implies_elim2 :premises (@p380)) % 0.37/0.65 (step @p382 :rule not_implies_elim2 :premises (@p381)) % 0.37/0.65 (step @p383 :rule not_implies_elim2 :premises (@p382)) % 0.37/0.65 (step @p384 :rule not_implies_elim2 :premises (@p383)) % 0.37/0.65 (step @p385 :rule not_implies_elim2 :premises (@p384)) % 0.37/0.65 (step @p386 :rule not_implies_elim2 :premises (@p385)) % 0.37/0.65 (step @p387 :rule not_implies_elim2 :premises (@p386)) % 0.37/0.65 (step @p388 :rule not_implies_elim2 :premises (@p387)) % 0.37/0.65 (step @p389 :rule not_implies_elim2 :premises (@p388)) % 0.37/0.65 (step @p390 :rule not_implies_elim2 :premises (@p389)) % 0.37/0.65 (step @p391 :rule not_implies_elim2 :premises (@p390)) % 0.37/0.65 (step @p392 :rule not_implies_elim2 :premises (@p391)) % 0.37/0.65 (step @p393 :rule not_implies_elim2 :premises (@p392)) % 0.37/0.65 (step @p394 :rule not_implies_elim2 :premises (@p393)) % 0.37/0.65 (step @p395 :rule not_implies_elim2 :premises (@p394)) % 0.37/0.65 (step @p396 :rule not_implies_elim2 :premises (@p395)) % 0.37/0.65 (step @p397 :rule not_implies_elim2 :premises (@p396)) % 0.37/0.65 (step @p398 :rule not_implies_elim2 :premises (@p397)) % 0.37/0.65 (step @p399 :rule not_implies_elim2 :premises (@p398)) % 0.37/0.65 (step @p400 :rule not_implies_elim2 :premises (@p399)) % 0.37/0.65 (step @p401 :rule not_implies_elim2 :premises (@p400)) % 0.37/0.65 (step @p402 :rule not_implies_elim2 :premises (@p401)) % 0.37/0.65 (step @p403 :rule not_implies_elim2 :premises (@p402)) % 0.37/0.65 (step @p404 :rule not_implies_elim2 :premises (@p403)) % 0.37/0.65 (step @p405 :rule not_implies_elim2 :premises (@p404)) % 0.37/0.65 (step @p406 :rule not_implies_elim2 :premises (@p405)) % 0.37/0.65 (step @p407 :rule not_implies_elim2 :premises (@p406)) % 0.37/0.65 (step @p408 :rule not_implies_elim2 :premises (@p407)) % 0.37/0.65 (step @p409 :rule not_implies_elim2 :premises (@p408)) % 0.37/0.65 (step @p410 :rule not_implies_elim2 :premises (@p409)) % 0.37/0.65 (step @p411 :rule not_implies_elim2 :premises (@p410)) % 0.37/0.65 (step @p412 :rule not_implies_elim2 :premises (@p411)) % 0.37/0.65 (step @p413 :rule not_implies_elim2 :premises (@p412)) % 0.37/0.65 (step @p414 :rule not_implies_elim2 :premises (@p413)) % 0.37/0.65 (step @p415 :rule not_implies_elim2 :premises (@p414)) % 0.37/0.65 (step @p416 :rule not_implies_elim2 :premises (@p415)) % 0.37/0.65 (step @p417 :rule not_implies_elim2 :premises (@p416)) % 0.37/0.65 (step @p418 :rule not_implies_elim2 :premises (@p417)) % 0.37/0.65 (step @p419 :rule not_implies_elim2 :premises (@p418)) % 0.37/0.65 (step @p420 :rule not_implies_elim2 :premises (@p419)) % 0.37/0.65 (step @p421 :rule not_implies_elim2 :premises (@p420)) % 0.37/0.65 (step @p422 :rule not_implies_elim2 :premises (@p421)) % 0.37/0.65 (step @p423 :rule not_implies_elim2 :premises (@p422)) % 0.37/0.65 (step @p424 :rule not_implies_elim2 :premises (@p423)) % 0.37/0.65 (step @p425 :rule not_implies_elim2 :premises (@p424)) % 0.37/0.65 (step @p426 :rule not_implies_elim2 :premises (@p425)) % 0.37/0.65 (step @p427 :rule not_implies_elim2 :premises (@p426)) % 0.37/0.65 (step @p428 :rule not_implies_elim2 :premises (@p427)) % 0.37/0.65 (step @p429 :rule not_implies_elim2 :premises (@p428)) % 0.37/0.65 (step @p430 :rule not_implies_elim2 :premises (@p429)) % 0.37/0.65 (step @p431 :rule not_implies_elim2 :premises (@p430)) % 0.37/0.65 (step @p432 :rule not_implies_elim2 :premises (@p431)) % 0.37/0.65 (step @p433 :rule not_implies_elim2 :premises (@p432)) % 0.37/0.65 (step @p434 :rule cong :premises (@p233 @p134) :args (@t86)) % 0.37/0.65 (step @p435 :rule eq_resolve :premises (@p50 @p434)) % 0.37/0.65 (step @p436 :rule not_implies_elim1 :premises (@p383)) % 0.37/0.65 (step @p437 :rule eq_resolve :premises (@p436 @p435)) % 0.37/0.65 (step @p438 false :rule contra :premises (@p437 @p433)) % 0.37/0.65 ) % 0.37/0.65 % SZS output end Proof % 0.37/0.65 % cvc5 exiting %------------------------------------------------------------------------------